boost/math
2
0
Fork 0
mirror of https://github.com/boostorg/math.git synced 2026-01-28 19:32:08 +00:00
Code Issues Projects Releases Wiki Activity

Merge accumulated changes from Trunk for Boost.Math - see documentation for a full lost of changes.

Browse Source 
[SVN r80432]
This commit is contained in:
John Maddock
2012-09-07 08:43:19 +00:00
parent efda20531b a286b00833
commit a9e17ee335
474 changed files with 18068 additions and 4768 deletions
Download Patch File Download Diff File Expand all files Collapse all files

224
doc/sf_and_dist/airy.qbk Normal file
View File

@@ -0,0 +1,224 @@
[/
Copyright (c) 2012 John Maddock
Use, modification and distribution are subject to the
Boost Software License, Version 1.0. (See accompanying file
LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
]
[section:airy Airy Functions]
[section:ai Airy Ai Function]
[heading Synopsis]
``
#include <boost/math/special_functions/airy.hpp>
``
namespace boost { namespace math {
template <class T>
``__sf_result`` airy_ai(T x);
template <class T, class Policy>
``__sf_result`` airy_ai(T x, const Policy&);
}} // namespaces
[heading Description]
The function __airy_ai calculates the Airy function Ai which is the first solution
to the differential equation:
[equation airy]
See Weisstein, Eric W. "Airy Functions." From MathWorld--A Wolfram Web Resource.
[@http://mathworld.wolfram.com/AiryFunctions.html];
[optional_policy]
The following graph illustrates how this function changes as /x/ changes: for negative /x/
the function is cyclic, while for positive /x/ the value tends to zero:
[graph airy_ai]
[heading Accuracy]
This function is implemented entirely in terms of the Bessel functions
__cyl_bessel_j and __cyl_bessel_k - refer to those functions for detailed accuracy information.
In general though, the relative error is low (less than 100 [epsilon]) for /x > 0/ while
only the absolute error is low for /x < 0/.
[heading Testing]
Since this function is implemented in terms of other special functions, there are only a few
basic sanity checks, using test values from [@http://functions.wolfram.com/ Wolfram Airy Functions].
[heading Implementation]
This function is implemented in terms of the Bessel functions using the relations:
[equation airy_ai]
[endsect]
[section:bi Airy Bi Function]
[heading Synopsis]
``
#include <boost/math/special_functions/airy.hpp>
``
namespace boost { namespace math {
template <class T>
``__sf_result`` airy_bi(T x);
template <class T, class Policy>
``__sf_result`` airy_bi(T x, const Policy&);
}} // namespaces
[heading Description]
The function __airy_bi calculates the Airy function Bi which is the second solution to the differential equation:
[equation airy]
[optional_policy]
The following graph illustrates how this function changes as /x/ changes: for negative /x/
the function is cyclic, while for positive /x/ the value tends to infinity:
[graph airy_bi]
[heading Accuracy]
This function is implemented entirely in terms of the Bessel functions
__cyl_bessel_i and __cyl_bessel_j - refer to those functions for detailed accuracy information.
In general though, the relative error is low (less than 100 [epsilon]) for /x > 0/ while
only the absolute error is low for /x < 0/.
[heading Testing]
Since this function is implemented in terms of other special functions, there are only a few
basic sanity checks, using test values from [@http://functions.wolfram.com functions.wolfram.com].
[heading Implementation]
This function is implemented in terms of the Bessel functions using the relations:
[equation airy_bi]
[endsect]
[section:aip Airy Ai' Function]
[heading Synopsis]
``
#include <boost/math/special_functions/airy.hpp>
``
namespace boost { namespace math {
template <class T>
``__sf_result`` airy_ai_prime(T x);
template <class T, class Policy>
``__sf_result`` airy_ai_prime(T x, const Policy&);
}} // namespaces
[heading Description]
The function __airy_ai_prime calculates the Airy function Ai' which is the derivative of the first solution to the differential equation:
[equation airy]
[optional_policy]
The following graph illustrates how this function changes as /x/ changes: for negative /x/
the function is cyclic, while for positive /x/ the value tends to zero:
[graph airy_aip]
[heading Accuracy]
This function is implemented entirely in terms of the Bessel functions
__cyl_bessel_j and __cyl_bessel_k - refer to those functions for detailed accuracy information.
In general though, the relative error is low (less than 100 [epsilon]) for /x > 0/ while
only the absolute error is low for /x < 0/.
[heading Testing]
Since this function is implemented in terms of other special functions, there are only a few
basic sanity checks, using test values from [@http://functions.wolfram.com functions.wolfram.com].
[heading Implementation]
This function is implemented in terms of the Bessel functions using the relations:
[equation airy_aip]
[endsect]
[section:bip Airy Bi' Function]
[heading Synopsis]
``
#include <boost/math/special_functions/airy.hpp>
``
namespace boost { namespace math {
template <class T>
``__sf_result`` airy_bi_prime(T x);
template <class T, class Policy>
``__sf_result`` airy_bi_prime(T x, const Policy&);
}} // namespaces
[heading Description]
The function __airy_bi_prime calculates the Airy function Bi' which is the derivative of the second solution to the differential equation:
[equation airy]
[optional_policy]
The following graph illustrates how this function changes as /x/ changes: for negative /x/
the function is cyclic, while for positive /x/ the value tends to infinity:
[graph airy_bi]
[heading Accuracy]
This function is implemented entirely in terms of the Bessel functions
__cyl_bessel_i and __cyl_bessel_j - refer to those functions for detailed accuracy information.
In general though, the relative error is low (less than 100 [epsilon]) for /x > 0/ while
only the absolute error is low for /x < 0/.
[heading Testing]
Since this function is implemented in terms of other special functions, there are only a few
basic sanity checks, using test values from [@http://functions.wolfram.com functions.wolfram.com].
[heading Implementation]
This function is implemented in terms of the Bessel functions using the relations:
[equation airy_bip]
[endsect]
[endsect]

31
doc/sf_and_dist/constants.qbk
View File

@@ -34,26 +34,27 @@ see [link math_toolkit.constants.tutorial.templ use in template code].
[section:non_templ Use in non-template code]
When using the math constants at your chosen fixed precision in non-template code,
you can simply add a `using` declaration, for example, `using boost::math::double_constants`,
you can simply add a `using namespace` declaration, for example,
`using namespace boost::math::double_constants`,
to make the constants of the correct precision for your code
visible in the current scope, and then use each constant ['as a simple variable]:
visible in the current scope, and then use each constant ['as a simple variable - sans brackets]:
#include <boost/math/constants.hpp>
#include <boost/math/constants/constants.hpp>
double area(double r)
{
using boost::math::double_constants;
using namespace boost::math::double_constants;
return pi * r * r;
}
Had our function been written as taking a `float` rather than a `double`,
we could have written instead:
#include <boost/math/constants.hpp>
#include <boost/math/constants/constants.hpp>
float area(float r)
{
using boost::math::float_constants;
using namespace boost::math::float_constants;
return pi * r * r;
}
@@ -62,6 +63,8 @@ are available in the namespace `boost::math::long_double_constants`.
You can see the full list of available constants at [link math_toolkit.constants.constants].
Some examples of using constants are at [@../../../example/constants_eg1.cpp constants_eg1].
[endsect]
[section:templ Use in template code]
@@ -71,7 +74,7 @@ we use a constant of the correct precision for our template parameters.
We can do this by calling the function-template versions, `pi<FPType>()`, of the constants
like this:
#include <boost/math/constants.hpp>
#include <boost/math/constants/constants.hpp>
template <class Real>
Real area(Real r)
@@ -139,7 +142,7 @@ You can also avoid this by being explicit about the type of `Area`.
The syntax for using the function-call constants with user-defined types is the same
as it is in the template class, which is to say we use:
#include <boost/math/constants.hpp>
#include <boost/math/constants/constants.hpp>
boost::math::constants::pi<UserDefinedType>();
@@ -652,7 +655,7 @@ This class is used in Boost.Math and an option when using big_number projects to
[h5 GMP and MPFR]
[@gmplib.org GMP] and [@http://www.mpfr.org/ MPFR] have also been used to compute constants,
[@http://gmplib.org GMP] and [@http://www.mpfr.org/ MPFR] have also been used to compute constants,
but are licensed under the [@http://www.gnu.org/copyleft/lesser.html Lesser GPL license]
and are [*not licensed for commercial use].
@@ -704,7 +707,13 @@ Some physical constants may be available in Boost.Units.
[endsect] [/section:FAQ FAQ]
[endsect]
[endsect] [/section:constants Mathematical Constants]
[/
Copyright 2012 John Maddock and Paul A. Bristow.
Distributed under the Boost Software License, Version 1.0.
(See accompanying file LICENSE_1_0.txt or copy at
http://www.boost.org/LICENSE_1_0.txt).
]

39
doc/sf_and_dist/credits.qbk
View File

@@ -26,19 +26,19 @@ Johan R'''&#xE5;'''de wrote the optimised floating-point classification
and manipulation code, and nonfinite facets to permit C99 output of infinities and NaNs.
(nonfinite facets were not added until Boost 1.47 but had been in use with Boost.Spirit).
This library was based on a suggestion from Robert Ramey, author of Boost.Serialization.
Paul A. Bristow expressed the need for better handling of
Paul A. Bristow expressed the need for better handling of
[@http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2006/n2022.pdf
Input & Output of NaN and infinity for the C++ Standard Library]
and suggested following the C99 format.
Antony Polukhin improved lexical cast avoiding stringstream so that
Antony Polukhin improved lexical cast avoiding stringstream so that
it was no longer necessary to use a globale C99 facet to handle nonfinites.
H'''&#xE5;'''kan Ard'''&#xF6;''',
Boris Gubenko, John Maddock,
Markus Sch'''&#xF6;'''pflin
and Olivier Verdier tested the floating-point library and
Martin Bonner, Peter Dimov and John Maddock provided valuable advice.
and Olivier Verdier tested the floating-point library and
Martin Bonner, Peter Dimov and John Maddock provided valuable advice.
Gautam Sewani coded the logistic distribution as part of a Google Summer of Code project 2008.
@@ -46,7 +46,8 @@ M. A. (Thijs) van den Berg coded the Laplace distribution.
(Thijs has also threatened to implement some multivariate distributions).
Thomas Mang requested the inverse gamma in chi squared distributions
for Bayesian applications and helped in their implementation.
for Bayesian applications and helped in their implementation,
and provided a nice example of their use.
Professor Nico Temme for advice on the inverse incomplete beta function.
@@ -60,22 +61,17 @@ We are grateful to Joel Guzman for helping us stress-test his
program used to generate the html and pdf versions
of this document, adding several new features en route.
Thanks to Mark Coleman and Georgi Boshnakov for spot test values
from __Mathematica, and of course,
to Eric Weissten for nurturing __Mathworld, an invaluable resource.
The Skew-normal distribution and Owen's t function were written by Benjamin Sobotta.
Plots of the functions and distributions were prepared in
[@http://www.w3.org/ W3C] standard
[@http://www.svg.org/ Scalable Vector Graphic (SVG)] format
using a program created by Jacob Voytko during a
[@http://code.google.com/soc/2007/ Google Summer of Code (2007)].
Since browser support for rendering SVG is still not universal
(Microsoft Internet Explorer, even IE 8 beta, still lacks native SVG support
From 2012, the latest versions of all Internet Browsers have support
for rendering SVG (with varying quality). Older versions, especially
(Microsoft Internet Explorer (before IE 9) lack native SVG support
but can be made to work with
[@http://www.adobe.com/svg/viewer/install/ Adobe's free SVG viewer] plugin),
so the SVG files were batch converted to JPEG using
[@http://www.adobe.com/svg/viewer/install/ Adobe's free SVG viewer] plugin).
The SVG files can be converted to JPEG or PNG using
[@http://www.inkscape.org/ Inkscape].
We are also indebted to Matthias Schabel for managing the formal Boost-review
@@ -83,10 +79,21 @@ of this library, and to all the reviewers - including Guillaume Melquiond,
Arnaldur Gylfason, John Phillips, Stephan Tolksdorf and Jeff Garland
- for their many helpful comments.
Thanks to Mark Coleman and Georgi Boshnakov for spot test values
from __Mathematica, and of course,
to Eric Weissten for nurturing __Mathworld, an invaluable resource.
The Skew-normal distribution and Owen's t function were written by Benjamin Sobotta.
We thank Thomas Mang for persuading us to allow t distributions
to have infinite degrees of freedom
and contributing to some long discussions about how to improve accuracy
for large non-centrality and/or large degrees of freedom.
[endsect] [/section:credits Credits and Acknowledgements]
[/
Copyright 2006, 2007, 2008, 2009, 2010 John Maddock and Paul A. Bristow.
Copyright 2006, 2007, 2008, 2009, 2010, 2012 John Maddock and Paul A. Bristow.
Distributed under the Boost Software License, Version 1.0.
(See accompanying file LICENSE_1_0.txt or copy at
http://www.boost.org/LICENSE_1_0.txt).

1
doc/sf_and_dist/dist_tutorial.qbk
View File

@@ -1,4 +1,5 @@
[/ def names all end in distrib to avoid clashes with names of functions]
[def __binomial_distrib [link math_toolkit.dist.dist_ref.dists.binomial_dist Binomial Distribution]]
[def __chi_squared_distrib [link math_toolkit.dist.dist_ref.dists.chi_squared_dist Chi Squared Distribution]]
[def __normal_distrib [link math_toolkit.dist.dist_ref.dists.normal_dist Normal Distribution]]

2
doc/sf_and_dist/distributions/bernoulli.qbk
View File

@@ -105,7 +105,7 @@ the binomial distribution with a single trial should be used, for example:
[h4 References]
* [@http://en.wikipedia.org/wiki/Bernoulli_distribution Wikpedia Bernoulli distribution]
* [@ Weisstein, Eric W. "Bernoulli Distribution." From MathWorld--A Wolfram Web Resource.]
* [@http://mathworld.wolfram.com/BernoulliDistribution.html Weisstein, Eric W. "Bernoulli Distribution." From MathWorld--A Wolfram Web Resource.]
[endsect][/section:bernoulli_dist bernoulli]

4
doc/sf_and_dist/distributions/binomial.qbk
View File

@@ -58,7 +58,7 @@ The class type `binomial_distribution` represents a
it is used when there are exactly two mutually
exclusive outcomes of a trial. These outcomes are labelled
"success" and "failure". The
[@ binomial distribution] is used to obtain
__binomial_distrib is used to obtain
the probability of observing k successes in N trials, with the
probability of success on a single trial denoted by p. The
binomial distribution assumes that p is fixed for all trials.
@@ -394,7 +394,7 @@ There are also various special cases: refer to the code for details. ]]
* [@http://en.wikipedia.org/wiki/Beta_distribution Wikipedia binomial distribution].
* [@http://www.itl.nist.gov/div898/handbook/eda/section3/eda366i.htm NIST Explorary Data Analysis].
[endsect][/section:binomial_dist Binomial]
[endsect] [/section:binomial_dist Binomial]
[/ binomial.qbk
Copyright 2006 John Maddock and Paul A. Bristow.

104
doc/sf_and_dist/distributions/nc_t.qbk
View File

@@ -2,9 +2,9 @@
``#include <boost/math/distributions/non_central_t.hpp>``
namespace boost{ namespace math{
namespace boost{ namespace math{
template <class RealType = double,
template <class RealType = double,
class ``__Policy`` = ``__policy_class`` >
class non_central_t_distribution;
@@ -23,18 +23,18 @@
// Accessor to degrees_of_freedom parameter v:
RealType degrees_of_freedom()const;
// Accessor to non-centrality parameter lambda:
// Accessor to non-centrality parameter delta:
RealType non_centrality()const;
};
}} // namespaces
The noncentral T distribution is a generalization of the __students_t_distrib.
Let X have a normal distribution with mean [delta] and variance 1, and let
Let X have a normal distribution with mean [delta] and variance 1, and let
[nu] S[super 2] have
a chi-squared distribution with degrees of freedom [nu]. Assume that
a chi-squared distribution with degrees of freedom [nu]. Assume that
X and S[super 2] are independent. The
distribution of t[sub [nu]]([delta])=X/S is called a
distribution of t[sub [nu]]([delta])=X/S is called a
noncentral t distribution with degrees of freedom [nu] and noncentrality
parameter [delta].
@@ -45,25 +45,26 @@ This gives the following PDF:
where [sub 1]F[sub 1](a;b;x) is a confluent hypergeometric function.
The following graph illustrates how the distribution changes
for different values of [delta]:
for different values of [nu] and [delta]:
[graph nc_t_pdf]
[graph nc_t_cdf]
[h4 Member Functions]
non_central_t_distribution(RealType v, RealType lambda);
non_central_t_distribution(RealType v, RealType delta);
Constructs a non-central t distribution with degrees of freedom
parameter /v/ and non-centrality parameter /delta/.
Requires v > 0 and finite delta, otherwise calls __domain_error.
Requires /v/ > 0 (including positive infinity) and finite /delta/, otherwise calls __domain_error.
RealType degrees_of_freedom()const;
Returns the parameter /v/ from which this object was constructed.
RealType non_centrality()const;
Returns the non-centrality parameter /delta/ from which this object was constructed.
[h4 Non-member Accessors]
@@ -76,18 +77,16 @@ The domain of the random variable is \[-[infin], +[infin]\].
[h4 Accuracy]
The following table shows the peak errors
(in units of [@http://en.wikipedia.org/wiki/Machine_epsilon epsilon])
(in units of [@http://en.wikipedia.org/wiki/Machine_epsilon epsilon])
found on various platforms with various floating-point types.
Unless otherwise specified, any floating-point type that is narrower
than the one shown will have __zero_error.
[table Errors In CDF of the Noncentral T Distribution
[[Significand Size] [Platform and Compiler] [[nu],[delta] < 600]]
[[Significand Size (bits)] [Platform and Compiler] [[nu], [delta] < 600]]
[[53] [Win32, Visual C++ 8] [Peak=120 Mean=26 ] ]
[[64] [RedHat Linux IA32, gcc-4.1.1] [Peak=121 Mean=26] ]
[[64] [Redhat Linux IA64, gcc-3.4.4] [Peak=122 Mean=25] ]
[[113] [HPUX IA64, aCC A.06.06] [Peak=115 Mean=24] ]
]
@@ -96,25 +95,37 @@ than the one shown will have __zero_error.
increases rapidly for [delta] > 500, likewise the accuracy decreases
rapidly for very large [delta].]
Accuracy for the quantile and PDF functions should be broadly similar,
note however that the /mode/ is determined numerically and can not
in principal be more accurate than the square root of machine epsilon.
Accuracy for the quantile and PDF functions should be broadly similar.
The /mode/ is determined numerically and cannot
in principal be more accurate than the square root of
floating-point type FPT epsilon, accessed using `boost::math::tools::epsilon<FPT>()`.
For 64-bit `double`, epsilon is about 1e-16, so the fractional accuracy is limited to 1e-8.
[h4 Tests]
There are two sets of tests of this distribution: basic sanity checks
compare this implementation to the test values given in
There are two sets of tests of this distribution:
Basic sanity checks compare this implementation to the test values given in
"Computing discrete mixtures of continuous
distributions: noncentral chisquare, noncentral t
and the distribution of the square of the sample
multiple correlation coefficient."
Denise Benton, K. Krishnamoorthy,
Denise Benton, K. Krishnamoorthy,
Computational Statistics & Data Analysis 43 (2003) 249-267.
While accuracy checks use test data computed with this
Accuracy checks use test data computed with this
implementation and arbitary precision interval arithmetic:
this test data is believed to be accurate to at least 50
decimal places.
The cases of large (or infinite) [nu] and/or large [delta] has received special
treatment to avoid catastrophic loss of accuracy.
New tests have been added to confirm the improvement achieved.
From Boost 1.52, degrees of freedom [nu] can be +[infin]
when the normal distribution located at [delta]
(equivalent to the central Student's t distribution)
is used in place for accuracy and speed.
[h4 Implementation]
@@ -124,7 +135,7 @@ described in
distributions: noncentral chisquare, noncentral t
and the distribution of the square of the sample
multiple correlation coefficient."
Denise Benton, K. Krishnamoorthy,
Denise Benton, K. Krishnamoorthy,
Computational Statistics & Data Analysis 43 (2003) 249-267.
This uses the following formula for the CDF:
@@ -150,7 +161,7 @@ From this we can easily show that:
and therefore we have a means to compute either the probability or its
complement directly without the risk of cancellation error. The
crossover criterion for choosing whether to calculate the CDF or
its complement is the same as for the
its complement is the same as for the
__non_central_beta_distrib.
The PDF can be computed by a very similar method using:
@@ -159,7 +170,30 @@ The PDF can be computed by a very similar method using:
Where I[sub x][super '](a,b) is the derivative of the incomplete beta function.
The quantile is calculated via the usual
For both the PDF and CDF we switch to approximating the distribution by a
Student's t distribution centred on [delta] when [nu] is very large.
The crossover location appears to be when [delta]/(4[nu]) < [epsilon],
this location was estimated by inspection of equation 2.6 in
"A Comparison of Approximations To Percentiles of the
Noncentral t-Distribution". H. Sahai and M. M. Ojeda,
Revista Investigacion Operacional Vol 21, No 2, 2000, page 123.
Equation 2.6 is a Fisher-Cornish expansion by Eeden and Johnson.
The second term includes the ratio [delta]/(4[nu]),
so when this term become negligible, this and following terms can be ignored,
leaving just Student's t distribution centred on [delta].
This was also confirmed by experimental testing.
See also
* "Some Approximations to the Percentage Points of the Noncentral
t-Distribution". C. van Eeden. International Statistical Review, 29, 4-31.
* "Continuous Univariate Distributions". N.L. Johnson, S. Kotz and
N. Balkrishnan. 1995. John Wiley and Sons New York.
The quantile is calculated via the usual
[link math_toolkit.toolkit.internals1.roots2
derivative-free root-finding techniques],
with the initial guess taken as the quantile of a normal approximation
@@ -169,13 +203,13 @@ There is no closed form for the mode, so this is computed via
functional maximisation of the PDF.
The remaining functions (mean, variance etc) are implemented
using the formulas given in
Weisstein, Eric W. "Noncentral Student's t-Distribution."
From MathWorld--A Wolfram Web Resource.
using the formulas given in
Weisstein, Eric W. "Noncentral Student's t-Distribution."
From MathWorld--A Wolfram Web Resource.
[@http://mathworld.wolfram.com/NoncentralStudentst-Distribution.html
http://mathworld.wolfram.com/NoncentralStudentst-Distribution.html]
and in the
[@http://reference.wolfram.com/mathematica/ref/NoncentralStudentTDistribution.html
and in the
[@http://reference.wolfram.com/mathematica/ref/NoncentralStudentTDistribution.html
Mathematica documentation].
Some analytic properties of noncentral distributions
@@ -184,10 +218,12 @@ are surveyed and summarized by:
Andrea van Aubel & Wolfgang Gawronski, Applied Mathematics and Computation, 141 (2003) 3-12.
[endsect] [/section:nc_t_dist]
[/ nc_t.qbk
Copyright 2008 John Maddock and Paul A. Bristow.
Copyright 2008, 2012 John Maddock and Paul A. Bristow.
Distributed under the Boost Software License, Version 1.0.
(See accompanying file LICENSE_1_0.txt or copy at
http://www.boost.org/LICENSE_1_0.txt).

79
doc/sf_and_dist/distributions/students_t.qbk
View File

@@ -2,12 +2,12 @@
``#include <boost/math/distributions/students_t.hpp>``
namespace boost{ namespace math{
template <class RealType = double,
namespace boost{ namespace math{
template <class RealType = double,
class ``__Policy`` = ``__policy_class`` >
class students_t_distribution;
typedef students_t_distribution<> students_t;
template <class RealType, class ``__Policy``>
@@ -15,13 +15,13 @@
{
typedef RealType value_type;
typedef Policy policy_type;
// Construct:
students_t_distribution(const RealType& v);
// Accessor:
RealType degrees_of_freedom()const;
// degrees of freedom estimation:
static RealType find_degrees_of_freedom(
RealType difference_from_mean,
@@ -30,20 +30,21 @@
RealType sd,
RealType hint = 100);
};
}} // namespaces
A statistical distribution published by William Gosset in 1908.
His employer, Guinness Breweries, required him to publish under a
pseudonym, so he chose "Student". Given N independent measurements, let
A statistical distribution published by William Gosset in 1908.
His employer, Guinness Breweries, required him to publish under a
pseudonym (possibly to hide that they were using statistics),
so he chose "Student". Given N independent measurements, let
[equation students_t_dist]
where /M/ is the population mean,[' ''' &#x3BC; '''] is the sample mean, and /s/ is the
where /M/ is the population mean,[' ''' &#x3BC; '''] is the sample mean, and /s/ is the
sample variance.
Student's t-distribution is defined as the distribution of the random
variable t which is - very loosely - the "best" that we can do not
Student's t-distribution is defined as the distribution of the random
variable t which is - very loosely - the "best" that we can do not
knowing the true standard deviation of the sample. It has the PDF:
[equation students_t_ref1]
@@ -60,15 +61,15 @@ illustrates how the PDF varies with the degrees of freedom [nu]:
[h4 Member Functions]
students_t_distribution(const RealType& v);
Constructs a Student's t-distribution with /v/ degrees of freedom.
Requires v > 0, otherwise calls __domain_error. Note that
non-integral degrees of freedom are supported, and
meaningful under certain circumstances.
Requires /v/ > 0, otherwise calls __domain_error. Note that
non-integral degrees of freedom are supported,
and are meaningful under certain circumstances.
RealType degrees_of_freedom()const;
Returns the number of degrees of freedom of this distribution.
static RealType find_degrees_of_freedom(
@@ -79,15 +80,15 @@ Returns the number of degrees of freedom of this distribution.
RealType hint = 100);
Returns the number of degrees of freedom required to observe a significant
result in the Student's t test when the mean differs from the "true"
result in the Student's t test when the mean differs from the "true"
mean by /difference_from_mean/.
[variablelist
[[difference_from_mean][The difference between the true mean and the sample mean
that we wish to show is significant.]]
[[alpha][The maximum acceptable probability of rejecting the null hypothesis
[[alpha][The maximum acceptable probability of rejecting the null hypothesis
when it is in fact true.]]
[[beta][The maximum acceptable probability of failing to reject the null hypothesis
[[beta][The maximum acceptable probability of failing to reject the null hypothesis
when it is in fact false.]]
[[sd][The sample standard deviation.]]
[[hint][A hint for the location to start looking for the result, a good choice for this
@@ -98,10 +99,10 @@ mean by /difference_from_mean/.
Remember that for a two-sided test, you must divide alpha by two
before calling this function.]
For more information on this function see the
[@http://www.itl.nist.gov/div898/handbook/prc/section2/prc222.htm
For more information on this function see the
[@http://www.itl.nist.gov/div898/handbook/prc/section2/prc222.htm
NIST Engineering Statistics Handbook].
[h4 Non-member Accessors]
All the [link math_toolkit.dist.dist_ref.nmp usual non-member accessor functions] that are generic to all
@@ -116,14 +117,14 @@ distribution.
[h4 Accuracy]
The normal distribution is implemented in terms of the
The normal distribution is implemented in terms of the
[link math_toolkit.special.sf_beta.ibeta_function incomplete beta function]
and [link math_toolkit.special.sf_beta.ibeta_inv_function its inverses],
refer to accuracy data on those functions for more information.
[h4 Implementation]
In the following table /v/ is the degrees of freedom of the distribution,
In the following table /v/ is the degrees of freedom of the distribution,
/t/ is the random variate, /p/ is the probability and /q = 1-p/.
[table
@@ -152,18 +153,26 @@ y = 1 - x
The quantities /x/ and /y/ are both returned by __ibeta_inv
without the subtraction implied above.]]
[[quantile from the complement][Using the relation: t = -quantile(q)]]
[[mean][0]]
[[variance][v \/ (v - 2)]]
[[mode][0]]
[[skewness][0]]
[[kurtosis][3 * (v - 2) \/ (v - 4)]]
[[kurtosis excess][6 \/ (df - 4)]]
[[mean][0]]
[[variance][if (v > 2) v \/ (v - 2) else NaN]]
[[skewness][if (v > 3) 0 else NaN ]]
[[kurtosis][if (v > 4) 3 * (v - 2) \/ (v - 4) else NaN]]
[[kurtosis excess][if (v > 4) 6 \/ (df - 4) else NaN]]
]
[endsect][/section:students_t_dist Students t]
If the moment index /k/ is less than /v/, then the moment is undefined.
Evaluating the moment will throw a __domain_error unless ignored by a policy,
when it will return `std::numeric_limits<>::quiet_NaN();`
(For simplicity, we have not implemented the return of infinity in some cases
as suggested by [@http://en.wikipedia.org/wiki/Student%27s_t-distribution Wikipedia Student's t].
See also [@https://svn.boost.org/trac/boost/ticket/7177].)
[endsect] [/section:students_t_dist Students t]
[/ students_t.qbk
Copyright 2006 John Maddock and Paul A. Bristow.
Copyright 2006, 2012 John Maddock and Paul A. Bristow.
Distributed under the Boost Software License, Version 1.0.
(See accompanying file LICENSE_1_0.txt or copy at
http://www.boost.org/LICENSE_1_0.txt).

76
doc/sf_and_dist/equations/airy.mml Normal file
View File

@@ -0,0 +1,76 @@
<?xml version='1.0'?>
<!DOCTYPE html PUBLIC '-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN'
'http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd'
[<!ENTITY mathml 'http://www.w3.org/1998/Math/MathML'>]>
<html xmlns='http://www.w3.org/1999/xhtml'>
<head><title>airy</title>
<!-- MathML created with MathCast Equation Editor version 0.89 -->
</head>
<body>
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
<mrow>
<mfrac>
<mrow>
<msup>
<mo>&#x2146;</mo>
<mn>2</mn>
</msup>
<mi>w</mi>
</mrow>
<mrow>
<mo>&#x2146;</mo>
<msup>
<mi>z</mi>
<mn>2</mn>
</msup>
</mrow>
</mfrac>
<mo>=</mo>
<mi>z</mi>
<mi>w</mi>
<mspace width="1em"/>
<mo>;</mo>
<mspace width="1em"/>
<mi>w</mi>
<mo>=</mo>
<mi>A</mi>
<mi>i</mi>
<mfenced>
<mrow>
<mi>z</mi>
</mrow>
</mfenced>
<mo>,</mo>
<mi>B</mi>
<mi>i</mi>
<mfenced>
<mrow>
<mi>z</mi>
</mrow>
</mfenced>
<mo>,</mo>
<mi>A</mi>
<mi>i</mi>
<mfenced>
<mrow>
<mi>z</mi>
<msup>
<mi>&#x2147;</mi>
<mrow>
<mo>&#x00B1;</mo>
<mfrac>
<mrow>
<mn>2</mn>
<mi>&#x03C0;</mi>
<mi>&#x2148;</mi>
</mrow>
<mn>3</mn>
</mfrac>
</mrow>
</msup>
</mrow>
</mfenced>
</mrow>
</math>
</body>
</html>

BIN
doc/sf_and_dist/equations/airy.png Normal file
View File

Binary file not shown.
Side by Side

After

Width:  |  Height:  |  Size: 5.1 KiB

2
doc/sf_and_dist/equations/airy.svg Normal file
View File

File diff suppressed because one or more lines are too long
Side by Side

After

Width:  |  Height:  |  Size: 8.3 KiB

187
doc/sf_and_dist/equations/airy_ai.mml Normal file
View File

@@ -0,0 +1,187 @@
<?xml version='1.0'?>
<!DOCTYPE html PUBLIC '-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN'
'http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd'
[<!ENTITY mathml 'http://www.w3.org/1998/Math/MathML'>]>
<html xmlns='http://www.w3.org/1999/xhtml'>
<head><title>airy_ai</title>
<!-- MathML created with MathCast Equation Editor version 0.89 -->
</head>
<body>
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
<mrow>
<mtable>
<mtr>
<mtd>
<mi>A</mi>
<mi>i</mi>
<mfenced>
<mrow>
<mn>0</mn>
</mrow>
</mfenced>
</mtd>
<mtd>
<mo>=</mo>
</mtd>
<mtd>
<mfrac>
<mn>1</mn>
<mrow>
<msup>
<mn>3</mn>
<mrow>
<mfrac>
<mn>2</mn>
<mn>3</mn>
</mfrac>
</mrow>
</msup>
<mi>&#x0393;</mi>
<mfenced>
<mrow>
<mfrac>
<mn>2</mn>
<mn>3</mn>
</mfrac>
</mrow>
</mfenced>
</mrow>
</mfrac>
</mtd>
</mtr>
<mtr>
<mtd>
<mi>A</mi>
<mi>i</mi>
<mfenced>
<mrow>
<mi>z</mi>
</mrow>
</mfenced>
</mtd>
<mtd>
<mo>=</mo>
</mtd>
<mtd>
<msup>
<mi>&#x03C0;</mi>
<mrow>
<mo>&#x2212;</mo>
<mn>1</mn>
</mrow>
</msup>
<msqrt>
<mrow>
<mfrac>
<mi>z</mi>
<mn>3</mn>
</mfrac>
</mrow>
</msqrt>
<msub>
<mi>K</mi>
<mrow>
<mo>&#x00B1;</mo>
<mrow>
<mfrac>
<mn>1</mn>
<mn>3</mn>
</mfrac>
</mrow>
</mrow>
</msub>
<mfenced>
<mrow>
<mi>&#x03B6;</mi>
</mrow>
</mfenced>
</mtd>
<mtd>
<mo>;</mo>
</mtd>
<mtd>
<mi>&#x03B6;</mi>
<mo>=</mo>
<mfrac>
<mn>2</mn>
<mn>3</mn>
</mfrac>
<msup>
<mi>z</mi>
<mrow>
<mfrac>
<mn>2</mn>
<mn>3</mn>
</mfrac>
</mrow>
</msup>
</mtd>
</mtr>
<mtr>
<mtd>
<mi>A</mi>
<mi>i</mi>
<mfenced>
<mrow>
<mo>&#x2212;</mo>
<mi>z</mi>
</mrow>
</mfenced>
</mtd>
<mtd>
<mo>=</mo>
</mtd>
<mtd>
<mfenced>
<mrow>
<mfrac>
<mrow>
<msqrt>
<mi>z</mi>
</msqrt>
</mrow>
<mn>3</mn>
</mfrac>
</mrow>
</mfenced>
<mfenced>
<mrow>
<msub>
<mi>J</mi>
<mrow>
<mfrac>
<mn>1</mn>
<mn>3</mn>
</mfrac>
</mrow>
</msub>
<mfenced>
<mrow>
<mi>&#x03B6;</mi>
</mrow>
</mfenced>
<mo>+</mo>
<msub>
<mi>J</mi>
<mrow>
<mo>&#x2212;</mo>
<mfrac>
<mn>1</mn>
<mn>3</mn>
</mfrac>
</mrow>
</msub>
<mfenced>
<mrow>
<mi>&#x03B6;</mi>
</mrow>
</mfenced>
</mrow>
</mfenced>
</mtd>
</mtr>
</mtable>
</mrow>
</math>
</body>
</html>

BIN
doc/sf_and_dist/equations/airy_ai.png Normal file
View File

Binary file not shown.
Side by Side

After

Width:  |  Height:  |  Size: 10 KiB

2
doc/sf_and_dist/equations/airy_ai.svg Normal file
View File

File diff suppressed because one or more lines are too long
Side by Side

After

Width:  |  Height:  |  Size: 18 KiB

179
doc/sf_and_dist/equations/airy_aip.mml Normal file
View File

@@ -0,0 +1,179 @@
<?xml version='1.0'?>
<!DOCTYPE html PUBLIC '-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN'
'http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd'
[<!ENTITY mathml 'http://www.w3.org/1998/Math/MathML'>]>
<html xmlns='http://www.w3.org/1999/xhtml'>
<head><title>airy_aip</title>
<!-- MathML created with MathCast Equation Editor version 0.89 -->
</head>
<body>
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
<mrow>
<mtable>
<mtr>
<mtd>
<mi>A</mi>
<mi>i</mi>
<mo>&#x2032;</mo>
<mfenced>
<mrow>
<mn>0</mn>
</mrow>
</mfenced>
</mtd>
<mtd>
<mo>=</mo>
</mtd>
<mtd>
<mo>&#x2212;</mo>
<mrow>
<mfrac>
<mn>1</mn>
<mrow>
<msup>
<mn>3</mn>
<mrow>
<mfrac>
<mn>1</mn>
<mn>3</mn>
</mfrac>
</mrow>
</msup>
<mi>&#x0393;</mi>
<mfenced>
<mrow>
<mfrac>
<mn>1</mn>
<mn>3</mn>
</mfrac>
</mrow>
</mfenced>
</mrow>
</mfrac>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mi>A</mi>
<mi>i</mi>
<mo>&#x2032;</mo>
<mfenced>
<mrow>
<mi>z</mi>
</mrow>
</mfenced>
</mtd>
<mtd>
<mo>=</mo>
</mtd>
<mtd>
<mfrac>
<mi>z</mi>
<mrow>
<mi>&#x03C0;</mi>
<msqrt>
<mn>3</mn>
</msqrt>
</mrow>
</mfrac>
<msub>
<mi>K</mi>
<mrow>
<mrow>
<mo>&#x00B1;</mo>
<mfrac>
<mn>2</mn>
<mn>3</mn>
</mfrac>
</mrow>
</mrow>
</msub>
<mfenced>
<mrow>
<mi>&#x03B6;</mi>
</mrow>
</mfenced>
</mtd>
<mtd>
<mo>;</mo>
</mtd>
<mtd>
<mi>&#x03B6;</mi>
<mo>=</mo>
<mfrac>
<mn>2</mn>
<mn>3</mn>
</mfrac>
<msup>
<mi>z</mi>
<mrow>
<mfrac>
<mn>2</mn>
<mn>3</mn>
</mfrac>
</mrow>
</msup>
</mtd>
</mtr>
<mtr>
<mtd>
<mi>A</mi>
<mi>i</mi>
<mo>&#x2032;</mo>
<mfenced>
<mrow>
<mo>&#x2212;</mo>
<mi>z</mi>
</mrow>
</mfenced>
</mtd>
<mtd>
<mo>=</mo>
</mtd>
<mtd>
<mfrac>
<mi>z</mi>
<mn>3</mn>
</mfrac>
<mfenced>
<mrow>
<msub>
<mi>J</mi>
<mrow>
<mfrac>
<mn>2</mn>
<mn>3</mn>
</mfrac>
</mrow>
</msub>
<mfenced>
<mrow>
<mi>&#x03B6;</mi>
</mrow>
</mfenced>
<mo>&#x2212;</mo>
<msub>
<mi>J</mi>
<mrow>
<mo>&#x2212;</mo>
<mfrac>
<mn>2</mn>
<mn>3</mn>
</mfrac>
</mrow>
</msub>
<mfenced>
<mrow>
<mi>&#x03B6;</mi>
</mrow>
</mfenced>
</mrow>
</mfenced>
</mtd>
</mtr>
</mtable>
</mrow>
</math>
</body>
</html>

BIN
doc/sf_and_dist/equations/airy_aip.png Normal file
View File

Binary file not shown.
Side by Side

After

Width:  |  Height:  |  Size: 9.5 KiB

2
doc/sf_and_dist/equations/airy_aip.svg Normal file
View File

File diff suppressed because one or more lines are too long
Side by Side

After

Width:  |  Height:  |  Size: 17 KiB

195
doc/sf_and_dist/equations/airy_bi.mml Normal file
View File

@@ -0,0 +1,195 @@
<?xml version='1.0'?>
<!DOCTYPE html PUBLIC '-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN'
'http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd'
[<!ENTITY mathml 'http://www.w3.org/1998/Math/MathML'>]>
<html xmlns='http://www.w3.org/1999/xhtml'>
<head><title>airy_bi</title>
<!-- MathML created with MathCast Equation Editor version 0.89 -->
</head>
<body>
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
<mrow>
<mtable>
<mtr>
<mtd>
<mi>B</mi>
<mi>i</mi>
<mfenced>
<mrow>
<mn>0</mn>
</mrow>
</mfenced>
</mtd>
<mtd>
<mo>=</mo>
</mtd>
<mtd>
<mfrac>
<mn>1</mn>
<mrow>
<msup>
<mn>3</mn>
<mrow>
<mfrac>
<mn>1</mn>
<mn>6</mn>
</mfrac>
</mrow>
</msup>
<mi>&#x0393;</mi>
<mfenced>
<mrow>
<mfrac>
<mn>2</mn>
<mn>3</mn>
</mfrac>
</mrow>
</mfenced>
</mrow>
</mfrac>
</mtd>
</mtr>
<mtr>
<mtd>
<mi>B</mi>
<mi>i</mi>
<mfenced>
<mrow>
<mi>z</mi>
</mrow>
</mfenced>
</mtd>
<mtd>
<mo>=</mo>
</mtd>
<mtd>
<msqrt>
<mrow>
<mfrac>
<mi>z</mi>
<mn>3</mn>
</mfrac>
</mrow>
</msqrt>
<mfenced>
<mrow>
<msub>
<mi>I</mi>
<mrow>
<mrow>
<mfrac>
<mn>1</mn>
<mn>3</mn>
</mfrac>
</mrow>
</mrow>
</msub>
<mfenced>
<mrow>
<mi>&#x03B6;</mi>
</mrow>
</mfenced>
<mo>+</mo>
<msub>
<mi>I</mi>
<mrow>
<mo>&#x2212;</mo>
<mfrac>
<mn>1</mn>
<mn>3</mn>
</mfrac>
</mrow>
</msub>
<mfenced>
<mrow>
<mi>&#x03B6;</mi>
</mrow>
</mfenced>
</mrow>
</mfenced>
</mtd>
<mtd>
<mo>;</mo>
</mtd>
<mtd>
<mi>&#x03B6;</mi>
<mo>=</mo>
<mfrac>
<mn>2</mn>
<mn>3</mn>
</mfrac>
<msup>
<mi>z</mi>
<mrow>
<mfrac>
<mn>2</mn>
<mn>3</mn>
</mfrac>
</mrow>
</msup>
</mtd>
</mtr>
<mtr>
<mtd>
<mi>B</mi>
<mi>i</mi>
<mfenced>
<mrow>
<mo>&#x2212;</mo>
<mi>z</mi>
</mrow>
</mfenced>
</mtd>
<mtd>
<mo>=</mo>
</mtd>
<mtd>
<msqrt>
<mrow>
<mfrac>
<mi>z</mi>
<mn>3</mn>
</mfrac>
</mrow>
</msqrt>
<mfenced>
<mrow>
<msub>
<mi>J</mi>
<mrow>
<mo>&#x2212;</mo>
<mfrac>
<mn>1</mn>
<mn>3</mn>
</mfrac>
</mrow>
</msub>
<mfenced>
<mrow>
<mi>&#x03B6;</mi>
</mrow>
</mfenced>
<mo>&#x2212;</mo>
<msub>
<mi>J</mi>
<mrow>
<mfrac>
<mn>1</mn>
<mn>3</mn>
</mfrac>
</mrow>
</msub>
<mfenced>
<mrow>
<mi>&#x03B6;</mi>
</mrow>
</mfenced>
</mrow>
</mfenced>
</mtd>
</mtr>
</mtable>
</mrow>
</math>
</body>
</html>

BIN
doc/sf_and_dist/equations/airy_bi.png Normal file
View File

Binary file not shown.
Side by Side

After

Width:  |  Height:  |  Size: 11 KiB

2
doc/sf_and_dist/equations/airy_bi.svg Normal file
View File

File diff suppressed because one or more lines are too long
Side by Side

After

Width:  |  Height:  |  Size: 19 KiB

195
doc/sf_and_dist/equations/airy_bip.mml Normal file
View File

@@ -0,0 +1,195 @@
<?xml version='1.0'?>
<!DOCTYPE html PUBLIC '-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN'
'http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd'
[<!ENTITY mathml 'http://www.w3.org/1998/Math/MathML'>]>
<html xmlns='http://www.w3.org/1999/xhtml'>
<head><title>airy_bip</title>
<!-- MathML created with MathCast Equation Editor version 0.89 -->
</head>
<body>
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
<mrow>
<mtable>
<mtr>
<mtd>
<mi>B</mi>
<mi>i</mi>
<mo>&#x2032;</mo>
<mfenced>
<mrow>
<mn>0</mn>
</mrow>
</mfenced>
</mtd>
<mtd>
<mo>=</mo>
</mtd>
<mtd>
<mrow>
<mfrac>
<msup>
<mn>3</mn>
<mrow>
<mfrac>
<mn>1</mn>
<mn>6</mn>
</mfrac>
</mrow>
</msup>
<mrow>
<mi>&#x0393;</mi>
<mfenced>
<mrow>
<mfrac>
<mn>1</mn>
<mn>3</mn>
</mfrac>
</mrow>
</mfenced>
</mrow>
</mfrac>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mi>B</mi>
<mi>i</mi>
<mo>&#x2032;</mo>
<mfenced>
<mrow>
<mi>z</mi>
</mrow>
</mfenced>
</mtd>
<mtd>
<mo>=</mo>
</mtd>
<mtd>
<mfrac>
<mi>z</mi>
<msqrt>
<mn>3</mn>
</msqrt>
</mfrac>
<mfenced>
<mrow>
<msub>
<mi>I</mi>
<mrow>
<mrow>
<mfrac>
<mn>2</mn>
<mn>3</mn>
</mfrac>
</mrow>
</mrow>
</msub>
<mfenced>
<mrow>
<mi>&#x03B6;</mi>
</mrow>
</mfenced>
<mo>+</mo>
<msub>
<mi>I</mi>
<mrow>
<mo>&#x2212;</mo>
<mfrac>
<mn>2</mn>
<mn>3</mn>
</mfrac>
</mrow>
</msub>
<mfenced>
<mrow>
<mi>&#x03B6;</mi>
</mrow>
</mfenced>
</mrow>
</mfenced>
</mtd>
<mtd>
<mo>;</mo>
</mtd>
<mtd>
<mi>&#x03B6;</mi>
<mo>=</mo>
<mfrac>
<mn>2</mn>
<mn>3</mn>
</mfrac>
<msup>
<mi>z</mi>
<mrow>
<mfrac>
<mn>2</mn>
<mn>3</mn>
</mfrac>
</mrow>
</msup>
</mtd>
</mtr>
<mtr>
<mtd>
<mi>B</mi>
<mi>i</mi>
<mo>&#x2032;</mo>
<mfenced>
<mrow>
<mo>&#x2212;</mo>
<mi>z</mi>
</mrow>
</mfenced>
</mtd>
<mtd>
<mo>=</mo>
</mtd>
<mtd>
<mfrac>
<mi>z</mi>
<msqrt>
<mn>3</mn>
</msqrt>
</mfrac>
<mfenced>
<mrow>
<msub>
<mi>J</mi>
<mrow>
<mo>&#x2212;</mo>
<mfrac>
<mn>2</mn>
<mn>3</mn>
</mfrac>
</mrow>
</msub>
<mfenced>
<mrow>
<mi>&#x03B6;</mi>
</mrow>
</mfenced>
<mo>+</mo>
<msub>
<mi>J</mi>
<mrow>
<mfrac>
<mn>2</mn>
<mn>3</mn>
</mfrac>
</mrow>
</msub>
<mfenced>
<mrow>
<mi>&#x03B6;</mi>
</mrow>
</mfenced>
</mrow>
</mfenced>
</mtd>
</mtr>
</mtable>
</mrow>
</math>
</body>
</html>

BIN
doc/sf_and_dist/equations/airy_bip.png Normal file
View File

Binary file not shown.
Side by Side

After

Width:  |  Height:  |  Size: 11 KiB

2
doc/sf_and_dist/equations/airy_bip.svg Normal file
View File

File diff suppressed because one or more lines are too long
Side by Side

After

Width:  |  Height:  |  Size: 19 KiB

51
doc/sf_and_dist/equations/jacobi1.mml Normal file
View File

@@ -0,0 +1,51 @@
<?xml version='1.0'?>
<!DOCTYPE html PUBLIC '-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN'
'http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd'
[<!ENTITY mathml 'http://www.w3.org/1998/Math/MathML'>]>
<html xmlns='http://www.w3.org/1999/xhtml'>
<head><title>jacobi1</title>
<!-- MathML created with MathCast Equation Editor version 0.89 -->
</head>
<body>
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
<mrow>
<mi>u</mi>
<mspace width="1em"/>
<mo>=</mo>
<mspace width="1em"/>
<munderover>
<mo>&#x222B;</mo>
<mrow>
<mn>0</mn>
</mrow>
<mi>&#x03C6;</mi>
</munderover>
<mfrac>
<mrow>
<mi>d</mi>
<mi>&#x03C6;</mi>
</mrow>
<mrow>
<msqrt>
<mfenced>
<mrow>
<mn>1</mn>
<mo>&#x2212;</mo>
<msup>
<mi>k</mi>
<mn>2</mn>
</msup>
<msup>
<mi>sin</mi>
<mn>2</mn>
</msup>
<mi>&#x03C6;</mi>
</mrow>
</mfenced>
</msqrt>
</mrow>
</mfrac>
</mrow>
</math>
</body>
</html>

BIN
doc/sf_and_dist/equations/jacobi1.png Normal file
View File

Binary file not shown.
Side by Side

After

Width:  |  Height:  |  Size: 3.6 KiB

2
doc/sf_and_dist/equations/jacobi1.svg Normal file
View File

@@ -0,0 +1,2 @@
<?xml version="1.0" encoding="utf-8"?>
<svg:svg xmlns="http://www.w3.org/1998/Math/MathML" xmlns:svg="http://www.w3.org/2000/svg" height="46.429344pt" width="123.736635pt" xmlns:svgmath="http://www.grigoriev.ru/svgmath" viewBox="0 -30.260724 123.736635 46.429344"><svg:metadata><svgmath:metrics top="46.4293441795" axis="20.1529952674" baseline="16.1686202674" bottom="0.0"/></svg:metadata><svg:text font-size="12.000000" text-anchor="middle" y="0.000000" x="3.000000" font-family="Times New Roman" font-style="italic" fill="black">u</svg:text><svg:g transform="translate(6.000000, 0.000000)"/><svg:g transform="translate(21.333336, -3.984375)"><svg:text font-size="12.000000" text-anchor="middle" y="3.984375" x="3.383789" font-family="Times New Roman" fill="black">=</svg:text></svg:g><svg:g transform="translate(31.434250, 0.000000)"/><svg:g transform="translate(43.434250, -3.984375)"><svg:text font-size="31.827545" text-anchor="middle" y="9.569880" x="4.405815" font-family="Times New Roman" fill="black">∫</svg:text><svg:g transform="translate(2.252504, 20.053152)"><svg:text font-size="8.520000" text-anchor="middle" y="0.000000" x="2.130000" font-family="Times New Roman" fill="black">0</svg:text></svg:g><svg:g transform="translate(2.025775, -22.511408)"><svg:text font-size="8.520000" text-anchor="middle" y="0.000000" x="2.356729" font-family="Times New Roman" font-style="italic" fill="black">φ</svg:text></svg:g></svg:g><svg:g transform="translate(52.785195, -3.984375)"><svg:g transform="translate(28.910290, -4.166016)"><svg:text font-size="12.000000" text-anchor="middle" y="0.000000" x="3.000000" font-family="Times New Roman" font-style="italic" fill="black">d</svg:text><svg:g transform="translate(6.492188, 0.000000)"><svg:text font-size="12.000000" text-anchor="middle" y="0.000000" x="3.319336" font-family="Times New Roman" font-style="italic" fill="black">φ</svg:text></svg:g></svg:g><svg:g transform="translate(0.585938, 13.872505)"><svg:g transform="translate(8.017057, 0.000000)"><svg:g transform="translate(0.000000, -3.984375)"><svg:text font-size="15.084683" transform="scale(0.795509, 1)" text-anchor="middle" y="3.318638" x="2.511659" font-family="Times New Roman" fill="black">(</svg:text></svg:g><svg:g transform="translate(3.996094, 0.000000)"><svg:text font-size="12.000000" text-anchor="middle" y="0.000000" x="3.000000" font-family="Times New Roman" fill="black">1</svg:text><svg:g transform="translate(8.666664, -3.984375)"><svg:text font-size="12.000000" text-anchor="middle" y="3.984375" x="3.383789" font-family="Times New Roman" fill="black">−</svg:text></svg:g><svg:g transform="translate(18.100906, 0.000000)"><svg:text font-size="12.000000" text-anchor="middle" y="0.000000" x="2.663086" font-family="Times New Roman" font-style="italic" fill="black">k</svg:text><svg:g transform="translate(5.853516, -5.367188)"><svg:text font-size="8.520000" text-anchor="middle" y="0.000000" x="2.130000" font-family="Times New Roman" fill="black">2</svg:text></svg:g></svg:g><svg:g transform="translate(28.214422, 0.000000)"><svg:text font-size="12.000000" text-anchor="middle" y="0.000000" x="7.001953" font-family="Times New Roman" fill="black">sin</svg:text><svg:g transform="translate(14.003906, -5.367188)"><svg:text font-size="8.520000" text-anchor="middle" y="0.000000" x="2.130000" font-family="Times New Roman" fill="black">2</svg:text></svg:g></svg:g><svg:g transform="translate(46.478328, 0.000000)"><svg:text font-size="12.000000" text-anchor="middle" y="0.000000" x="3.319336" font-family="Times New Roman" font-style="italic" fill="black">φ</svg:text></svg:g></svg:g><svg:g transform="translate(57.113094, -3.984375)"><svg:text font-size="15.084683" transform="scale(0.795509, 1)" text-anchor="middle" y="3.318638" x="2.511659" font-family="Times New Roman" fill="black">)</svg:text></svg:g></svg:g><svg:path stroke-linejoin="miter" d="M -0.000000 -6.136448 L 2.929121 -6.136448 L 5.616957 -1.158973 L 5.537480 -0.639487 L 2.698721 -5.896448 L 2.338721 -5.896448 L 5.522803 0.000000 L 7.363737 -12.032895 L 69.779565 -12.032895" stroke="black" stroke-linecap="butt" stroke-miterlimit="10" stroke-width="0.480000" fill="none"/></svg:g><svg:line stroke-width="0.585938" x1="0.000000" y1="0.000000" stroke="black" stroke-linecap="butt" stroke-dasharray="none" x2="70.951440" y2="0.000000" fill="none"/></svg:g></svg:svg>
Side by Side

After

Width:  |  Height:  |  Size: 4.3 KiB

92
doc/sf_and_dist/equations/jacobi2.mml Normal file
View File

@@ -0,0 +1,92 @@
<?xml version='1.0'?>
<!DOCTYPE html PUBLIC '-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN'
'http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd'
[<!ENTITY mathml 'http://www.w3.org/1998/Math/MathML'>]>
<html xmlns='http://www.w3.org/1999/xhtml'>
<head><title>jacobi2</title>
<!-- MathML created with MathCast Equation Editor version 0.89 -->
</head>
<body>
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
<mrow>
<mtable>
<mtr>
<mtd>
<mi>s</mi>
<mi>n</mi>
<mfenced>
<mrow>
<mi>u</mi>
<mo>,</mo>
<mi>k</mi>
</mrow>
</mfenced>
</mtd>
<mtd>
<mo>=</mo>
</mtd>
<mtd>
<mi>sin</mi>
<mi>&#x03C6;</mi>
</mtd>
</mtr>
<mtr>
<mtd>
<mi>c</mi>
<mi>n</mi>
<mfenced>
<mrow>
<mi>u</mi>
<mo>,</mo>
<mi>k</mi>
</mrow>
</mfenced>
</mtd>
<mtd>
<mo>=</mo>
</mtd>
<mtd>
<mi>cos</mi>
<mi>&#x03C6;</mi>
</mtd>
</mtr>
<mtr>
<mtd>
<mi>d</mi>
<mi>n</mi>
<mfenced>
<mrow>
<mi>u</mi>
<mo>,</mo>
<mi>k</mi>
</mrow>
</mfenced>
</mtd>
<mtd>
<mo>=</mo>
</mtd>
<mtd>
<msqrt>
<mfenced>
<mrow>
<mn>1</mn>
<mo>&#x2212;</mo>
<msup>
<mi>k</mi>
<mn>2</mn>
</msup>
<msup>
<mi>sin</mi>
<mn>2</mn>
</msup>
<mi>&#x03C6;</mi>
</mrow>
</mfenced>
</msqrt>
</mtd>
</mtr>
</mtable>
</mrow>
</math>
</body>
</html>

BIN
doc/sf_and_dist/equations/jacobi2.png Normal file
View File

Binary file not shown.
Side by Side

After

Width:  |  Height:  |  Size: 6.5 KiB

2
doc/sf_and_dist/equations/jacobi2.svg Normal file
View File

File diff suppressed because one or more lines are too long
Side by Side

After

Width:  |  Height:  |  Size: 8.6 KiB

135
doc/sf_and_dist/equations/jacobi3.mml Normal file
View File

@@ -0,0 +1,135 @@
<?xml version='1.0'?>
<!DOCTYPE html PUBLIC '-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN'
'http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd'
[<!ENTITY mathml 'http://www.w3.org/1998/Math/MathML'>]>
<html xmlns='http://www.w3.org/1999/xhtml'>
<head><title>jacobi3</title>
<!-- MathML created with MathCast Equation Editor version 0.89 -->
</head>
<body>
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
<mrow>
<mtable>
<mtr>
<mtd>
<mi>&#x03BC;</mi>
</mtd>
<mtd>
<mo>=</mo>
</mtd>
<mtd>
<mfrac>
<mn>1</mn>
<mrow>
<msup>
<mi>k</mi>
<mn>2</mn>
</msup>
</mrow>
</mfrac>
</mtd>
</mtr>
<mtr>
<mtd>
<mi>&#x03BD;</mi>
</mtd>
<mtd>
<mo>=</mo>
</mtd>
<mtd>
<mi>u</mi>
<mi>k</mi>
</mtd>
</mtr>
<mtr>
<mtd>
<mi>s</mi>
<mi>n</mi>
<mfenced>
<mrow>
<mi>u</mi>
<mo>,</mo>
<mi>k</mi>
</mrow>
</mfenced>
</mtd>
<mtd>
<mo>=</mo>
</mtd>
<mtd>
<mfrac>
<mrow>
<mi>s</mi>
<mi>n</mi>
<mfenced>
<mrow>
<mi>&#x03BD;</mi>
<mo>,</mo>
<mi>&#x03BC;</mi>
</mrow>
</mfenced>
</mrow>
<mi>k</mi>
</mfrac>
</mtd>
</mtr>
<mtr>
<mtd>
<mi>c</mi>
<mi>n</mi>
<mfenced>
<mrow>
<mi>u</mi>
<mo>,</mo>
<mi>k</mi>
</mrow>
</mfenced>
</mtd>
<mtd>
<mo>=</mo>
</mtd>
<mtd>
<mi>d</mi>
<mi>n</mi>
<mfenced>
<mrow>
<mi>&#x03BD;</mi>
<mo>,</mo>
<mi>&#x03BC;</mi>
</mrow>
</mfenced>
</mtd>
</mtr>
<mtr>
<mtd>
<mi>d</mi>
<mi>n</mi>
<mfenced>
<mrow>
<mi>u</mi>
<mo>,</mo>
<mi>k</mi>
</mrow>
</mfenced>
</mtd>
<mtd>
<mo>=</mo>
</mtd>
<mtd>
<mi>c</mi>
<mi>n</mi>
<mfenced>
<mrow>
<mi>&#x03BD;</mi>
<mo>,</mo>
<mi>k</mi>
</mrow>
</mfenced>
</mtd>
</mtr>
</mtable>
</mrow>
</math>
</body>
</html>

BIN
doc/sf_and_dist/equations/jacobi3.png Normal file
View File

Binary file not shown.
Side by Side

After

Width:  |  Height:  |  Size: 7.4 KiB

2
doc/sf_and_dist/equations/jacobi3.svg Normal file
View File

File diff suppressed because one or more lines are too long
Side by Side

After

Width:  |  Height:  |  Size: 12 KiB

170
doc/sf_and_dist/equations/jacobi4.mml Normal file
View File

@@ -0,0 +1,170 @@
<?xml version='1.0'?>
<!DOCTYPE html PUBLIC '-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN'
'http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd'
[<!ENTITY mathml 'http://www.w3.org/1998/Math/MathML'>]>
<html xmlns='http://www.w3.org/1999/xhtml'>
<head><title>jacobi4</title>
<!-- MathML created with MathCast Equation Editor version 0.89 -->
</head>
<body>
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
<mrow>
<mtable>
<mtr>
<mtd>
<mi>s</mi>
<mi>n</mi>
<mfenced>
<mrow>
<mi>u</mi>
<mo>,</mo>
<mi>k</mi>
</mrow>
</mfenced>
</mtd>
<mtd>
<mo>&#x2248;</mo>
</mtd>
<mtd>
<mi>sin</mi>
<mfenced>
<mrow>
<mi>u</mi>
</mrow>
</mfenced>
<mo>&#x2212;</mo>
<mfrac>
<mn>1</mn>
<mn>4</mn>
</mfrac>
<msup>
<mi>k</mi>
<mn>2</mn>
</msup>
<mfenced>
<mrow>
<mi>u</mi>
<mo>&#x2212;</mo>
<mi>sin</mi>
<mfenced>
<mrow>
<mi>u</mi>
</mrow>
</mfenced>
<mi>cos</mi>
<mfenced>
<mrow>
<mi>u</mi>
</mrow>
</mfenced>
</mrow>
</mfenced>
<mi>cos</mi>
<mfenced>
<mrow>
<mi>u</mi>
</mrow>
</mfenced>
</mtd>
</mtr>
<mtr>
<mtd>
<mi>c</mi>
<mi>n</mi>
<mfenced>
<mrow>
<mi>u</mi>
<mo>,</mo>
<mi>k</mi>
</mrow>
</mfenced>
</mtd>
<mtd>
<mo>&#x2248;</mo>
</mtd>
<mtd>
<mi>cos</mi>
<mfenced>
<mrow>
<mi>u</mi>
</mrow>
</mfenced>
<mo>+</mo>
<mfrac>
<mn>1</mn>
<mn>4</mn>
</mfrac>
<msup>
<mi>k</mi>
<mn>2</mn>
</msup>
<mfenced>
<mrow>
<mi>u</mi>
<mo>&#x2212;</mo>
<mi>sin</mi>
<mfenced>
<mrow>
<mi>u</mi>
</mrow>
</mfenced>
<mi>cos</mi>
<mfenced>
<mrow>
<mi>u</mi>
</mrow>
</mfenced>
</mrow>
</mfenced>
<mi>sin</mi>
<mfenced>
<mrow>
<mi>u</mi>
</mrow>
</mfenced>
</mtd>
</mtr>
<mtr>
<mtd>
<mi>d</mi>
<mi>n</mi>
<mfenced>
<mrow>
<mi>u</mi>
<mo>,</mo>
<mi>k</mi>
</mrow>
</mfenced>
</mtd>
<mtd>
<mo>&#x2248;</mo>
</mtd>
<mtd>
<mn>1</mn>
<mo>&#x2212;</mo>
<mfrac>
<mn>1</mn>
<mn>2</mn>
</mfrac>
<msup>
<mi>k</mi>
<mn>2</mn>
</msup>
<mi>sin</mi>
<msup>
<mi/>
<mn>2</mn>
</msup>
<mfenced>
<mrow>
<mi>u</mi>
</mrow>
</mfenced>
</mtd>
</mtr>
</mtable>
</mrow>
</math>
</body>
</html>

BIN
doc/sf_and_dist/equations/jacobi4.png Normal file
View File

Binary file not shown.
Side by Side

After

Width:  |  Height:  |  Size: 13 KiB

2
doc/sf_and_dist/equations/jacobi4.svg Normal file
View File

File diff suppressed because one or more lines are too long
Side by Side

After

Width:  |  Height:  |  Size: 19 KiB

7
doc/sf_and_dist/error_handling.qbk
View File

@@ -9,6 +9,9 @@ Handling of errors by this library is split into two orthogonal parts:
* What kind of error has been raised?
* What should be done when the error is raised?
[warning The default error actions are to throw an exception with an informative error message.
If you do not try to catch the exception, you will not see the message!]
The kinds of errors that can be raised are:
[variablelist
@@ -153,6 +156,8 @@ this library. It was felt that:
rather than following C-compatible behaviour and setting `::errno`.
* Numeric underflow and denormalised results were not considered to be
fatal errors in most cases, so it was felt that these should be ignored.
* If there is more than one error,
only the first detected will be reported in the throw message.
[heading Finding More Information]
@@ -390,7 +395,7 @@ listed above on [link overflow_error overflow],
[endsect][/section:error_handling Error Handling]
[/
Copyright 2006 - 2010 John Maddock and Paul A. Bristow.
Copyright 2006 - 2012 John Maddock and Paul A. Bristow.
Distributed under the Boost Software License, Version 1.0.
(See accompanying file LICENSE_1_0.txt or copy at
http://www.boost.org/LICENSE_1_0.txt).

10
doc/sf_and_dist/float_next.qbk
View File

@@ -49,6 +49,12 @@ Returns the next representable value after /x/ in the direction of /y/. If
a __domain_error. If there is no such value in the direction of /y/ then
returns an __overflow_error.
[warning The template parameter FTP must be a floating-point type.
An integer type, for example, will produce an unhelpful error message.]
[tip Nearly always, you just want the next or prior representable value,
so instead use `float_next` or `float_prior` below.]
[h4 Examples - nextafter]
The two representations using a 32-bit float either side of unity are:
@@ -88,7 +94,7 @@ returns an __overflow_error.
Has the same effect as
nextafter(val, std::numeric_limits<FPT>::max());
nextafter(val, (std::numeric_limits<FPT>::max)());
[endsect] [/section:float_next Finding the Next Greater Representable Value (float_prior)]
@@ -117,7 +123,7 @@ returns an __overflow_error.
Has the same effect as
nextafter(val, -std::numeric_limits<FPT>::max()); // Note most negative value -max.
nextafter(val, -(std::numeric_limits<FPT>::max)()); // Note most negative value -max.
[endsect] [/section:float_prior Finding the Next Smaller Representable Value (float_prior)]

BIN
doc/sf_and_dist/graphs/airy_ai.png Normal file
View File

Binary file not shown.
Side by Side

After

Width:  |  Height:  |  Size: 33 KiB

65
doc/sf_and_dist/graphs/airy_ai.svg Normal file
View File

@@ -0,0 +1,65 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<svg width="600" height ="400" version="1.1"
xmlns:svg ="http://www.w3.org/2000/svg"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cc="http://web.resource.org/cc/"
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns ="http://www.w3.org/2000/svg"
>
<!-- SVG plot written using Boost.Plot program (Creator Jacob Voytko) -->
<!-- Use, modification and distribution of Boost.Plot subject to the -->
<!-- Boost Software License, Version 1.0.-->
<!-- (See accompanying file LICENSE_1_0.txt -->
<!-- or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<!-- SVG Plot Copyright John Maddock 2008 -->
<meta name="copyright" content="John Maddock" />
<meta name="date" content="2008" />
<!-- Use, modification and distribution of this Scalable Vector Graphic file -->
<!-- are subject to the Boost Software License, Version 1.0. -->
<!-- (See accompanying file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<clipPath id="plot_window"><rect x="93.6" y="59" width="479.4" height="281"/></clipPath>
<g id="imageBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="0" y="0" width="600" height="400"/></g>
<g id="plotBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="92.6" y="58" width="481.4" height="283"/></g>
<g id="yMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="yMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="xMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="xMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="yAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="328.6" y1="58" x2="328.6" y2="346"/><line x1="92.6" y1="58" x2="92.6" y2="341"/></g>
<g id="xAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="87.6" y1="219.5" x2="574" y2="219.5"/><line x1="87.6" y1="341" x2="574" y2="341"/></g>
<g id="yMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M90.6,212.2 L92.6,212.2 M90.6,204.9 L92.6,204.9 M90.6,197.6 L92.6,197.6 M90.6,183.1 L92.6,183.1 M90.6,175.8 L92.6,175.8 M90.6,168.5 L92.6,168.5 M90.6,154 L92.6,154 M90.6,146.7 L92.6,146.7 M90.6,139.4 L92.6,139.4 M90.6,124.9 L92.6,124.9 M90.6,117.6 L92.6,117.6 M90.6,110.3 L92.6,110.3 M90.6,95.74 L92.6,95.74 M90.6,88.46 L92.6,88.46 M90.6,81.18 L92.6,81.18 M90.6,66.62 L92.6,66.62 M90.6,59.35 L92.6,59.35 M90.6,219.5 L92.6,219.5 M90.6,226.7 L92.6,226.7 M90.6,234 L92.6,234 M90.6,241.3 L92.6,241.3 M90.6,248.6 L92.6,248.6 M90.6,255.9 L92.6,255.9 M90.6,263.1 L92.6,263.1 M90.6,270.4 L92.6,270.4 M90.6,277.7 L92.6,277.7 M90.6,277.7 L92.6,277.7 M90.6,285 L92.6,285 M90.6,292.3 L92.6,292.3 M90.6,299.5 L92.6,299.5 M90.6,306.8 L92.6,306.8 M90.6,314.1 L92.6,314.1 M90.6,321.4 L92.6,321.4 M90.6,328.6 L92.6,328.6 M90.6,335.9 L92.6,335.9 " fill="none"/></g>
<g id="xMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M358.1,341 L358.1,343 M387.6,341 L387.6,343 M417.1,341 L417.1,343 M476.1,341 L476.1,343 M505.6,341 L505.6,343 M535.1,341 L535.1,343 M299.1,341 L299.1,343 M269.6,341 L269.6,343 M240.1,341 L240.1,343 M181.1,341 L181.1,343 M151.6,341 L151.6,343 M122.1,341 L122.1,343 " fill="none"/></g>
<g id="yMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M87.6,219.5 L92.6,219.5 M87.6,190.4 L92.6,190.4 M87.6,161.2 L92.6,161.2 M87.6,132.1 L92.6,132.1 M87.6,103 L92.6,103 M87.6,73.9 L92.6,73.9 M87.6,219.5 L92.6,219.5 M87.6,248.6 L92.6,248.6 M87.6,277.7 L92.6,277.7 M87.6,306.8 L92.6,306.8 M87.6,335.9 L92.6,335.9 " fill="none"/></g>
<g id="xMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M328.6,341 L328.6,346 M446.6,341 L446.6,346 M564.6,341 L564.6,346 M328.6,341 L328.6,346 M210.6,341 L210.6,346 M92.6,341 L92.6,346 " fill="none"/></g>
<g id="xTicksValues">
<text x="328.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">0</text>
<text x="446.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">10</text>
<text x="564.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">20</text>
<text x="328.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">0</text>
<text x="210.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-10</text>
<text x="92.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-20</text></g>
<g id="yTicksValues">
<text x="81.6" y="221.9" text-anchor="end" font-size="12" font-family="Verdana">0</text>
<text x="81.6" y="192.8" text-anchor="end" font-size="12" font-family="Verdana">0.1</text>
<text x="81.6" y="163.6" text-anchor="end" font-size="12" font-family="Verdana">0.2</text>
<text x="81.6" y="134.5" text-anchor="end" font-size="12" font-family="Verdana">0.3</text>
<text x="81.6" y="105.4" text-anchor="end" font-size="12" font-family="Verdana">0.4</text>
<text x="81.6" y="76.3" text-anchor="end" font-size="12" font-family="Verdana">0.5</text>
<text x="81.6" y="221.9" text-anchor="end" font-size="12" font-family="Verdana">0</text>
<text x="81.6" y="251" text-anchor="end" font-size="12" font-family="Verdana">-0.1</text>
<text x="81.6" y="280.1" text-anchor="end" font-size="12" font-family="Verdana">-0.2</text>
<text x="81.6" y="309.2" text-anchor="end" font-size="12" font-family="Verdana">-0.3</text>
<text x="81.6" y="338.3" text-anchor="end" font-size="12" font-family="Verdana">-0.4</text></g>
<g id="yLabel">
<text x="42.9" y="199.5" text-anchor="middle" transform = "rotate(-90 42.9 199.5 )" font-size="14" font-family="Verdana">airy_ai(z)</text></g>
<g id="xLabel">
<text x="333.3" y="376.7" text-anchor="middle" font-size="14" font-family="Verdana">z</text></g>
<g id="plotLines" stroke-width="2"><g clip-path="url(#plot_window)" stroke="rgb(0,0,139)" stroke-width="1"><path d="M92.6,270.8 L94.96,206.3 L97.32,151.5 L99.68,146.5 L102,194.6 L104.4,260.7 L106.8,297.5 L109.1,279.2 L111.5,219.1 L113.8,159.2 L116.2,140.5 L118.6,175.4 L120.9,239.9 L123.3,290.9 L125.6,295.1 L128,250.1 L130.4,185.4 L132.7,142.2 L135.1,147.6 L137.4,197.6 L139.8,261.1 L142.2,299.5 L144.5,289.9 L146.9,238.6 L149.2,176 L151.6,138.5 L154,147.2 L156.3,196.6 L158.7,258.9 L161,299.6 L163.4,296.9 L165.8,252.8 L168.1,191.1 L170.5,144 L172.8,135.6 L175.2,169.5 L177.6,228.4 L179.9,283 L182.3,306.9 L184.6,289.2 L187,238.8 L189.4,179.4 L191.7,138.1 L194.1,133.1 L196.4,166 L198.8,222 L201.2,277 L203.5,308.1 L205.9,303 L208.2,264.2 L210.6,207.8 L212.9,155.7 L215.3,127.9 L217.7,134 L220,171.4 L222.4,225.9 L224.7,278.3 L227.1,310.6 L229.5,312.5 L231.8,284 L234.2,234.8 L236.5,180.8 L238.9,138.5 L241.3,120.1 L243.6,130.4 L246,165.8 L248.3,215.9 L250.7,267.1 L253.1,306 L255.4,323.2 L257.8,315.3 L260.1,284.8 L262.5,239.4 L264.9,189.5 L267.2,145.9 L269.6,117.4 L271.9,108.8 L274.3,121.2 L276.7,151.4 L279,193.5 L281.4,239.9 L283.7,283.2 L286.1,316.9 L288.5,336.9 L290.8,341 L293.2,329.8 L295.5,305.4 L297.9,271.4 L300.3,232.1 L302.6,191.5 L305,153.3 L307.3,120.3 L309.7,94.32 L312.1,76.32 L314.4,66.28 L316.8,63.55 L319.1,67.04 L321.5,75.4 L323.9,87.23 L326.2,101.2 L328.6,116.1 L330.9,131.1 L333.3,145.3 L335.7,158.4 L338,170 L340.4,180.1 L342.7,188.6 L345.1,195.6 L347.5,201.3 L349.8,205.8 L352.2,209.3 L354.5,212 L356.9,214.1 L359.3,215.6 L361.6,216.7 L364,217.5 L366.3,218.1 L368.7,218.6 L371.1,218.8 L373.4,219.1 L375.8,219.2 L378.1,219.3 L380.5,219.3 L382.9,219.4 L385.2,219.4 L387.6,219.4 L389.9,219.4 L392.3,219.5 L394.7,219.5 L397,219.5 L399.4,219.5 L401.7,219.5 L404.1,219.5 L406.5,219.5 L408.8,219.5 L411.2,219.5 L413.5,219.5 L415.9,219.5 L418.3,219.5 L420.6,219.5 L423,219.5 L425.3,219.5 L427.7,219.5 L430.1,219.5 L432.4,219.5 L434.8,219.5 L437.1,219.5 L439.5,219.5 L441.9,219.5 L444.2,219.5 L446.6,219.5 L448.9,219.5 L451.3,219.5 L453.6,219.5 L456,219.5 L458.4,219.5 L460.7,219.5 L463.1,219.5 L465.4,219.5 L467.8,219.5 L470.2,219.5 L472.5,219.5 L474.9,219.5 L477.2,219.5 L479.6,219.5 L482,219.5 L484.3,219.5 L486.7,219.5 L489,219.5 L491.4,219.5 L493.8,219.5 L496.1,219.5 L498.5,219.5 L500.8,219.5 L503.2,219.5 L505.6,219.5 L507.9,219.5 L510.3,219.5 L512.6,219.5 L515,219.5 L517.4,219.5 L519.7,219.5 L522.1,219.5 L524.4,219.5 L526.8,219.5 L529.2,219.5 L531.5,219.5 L533.9,219.5 L536.2,219.5 L538.6,219.5 L541,219.5 L543.3,219.5 L545.7,219.5 L548,219.5 L550.4,219.5 L552.8,219.5 L555.1,219.5 L557.5,219.5 L559.8,219.5 L562.2,219.5 L564.6,219.5 " fill="none"/></g>
</g>
<g id="plotPoints" clip-path="url(#plot_window)"></g>
<g id="title">
<text x="300" y="40" text-anchor="middle" font-size="20" font-family="Verdana">Ai</text></g>
<g id="plotXValues"></g>
<g id="plotYValues"></g>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 8.4 KiB

BIN
doc/sf_and_dist/graphs/airy_aip.png Normal file
View File

Binary file not shown.
Side by Side

After

Width:  |  Height:  |  Size: 32 KiB

60
doc/sf_and_dist/graphs/airy_aip.svg Normal file
View File

@@ -0,0 +1,60 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<svg width="600" height ="400" version="1.1"
xmlns:svg ="http://www.w3.org/2000/svg"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cc="http://web.resource.org/cc/"
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns ="http://www.w3.org/2000/svg"
>
<!-- SVG plot written using Boost.Plot program (Creator Jacob Voytko) -->
<!-- Use, modification and distribution of Boost.Plot subject to the -->
<!-- Boost Software License, Version 1.0.-->
<!-- (See accompanying file LICENSE_1_0.txt -->
<!-- or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<!-- SVG Plot Copyright John Maddock 2008 -->
<meta name="copyright" content="John Maddock" />
<meta name="date" content="2008" />
<!-- Use, modification and distribution of this Scalable Vector Graphic file -->
<!-- are subject to the Boost Software License, Version 1.0. -->
<!-- (See accompanying file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<clipPath id="plot_window"><rect x="93.6" y="59" width="479.4" height="281"/></clipPath>
<g id="imageBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="0" y="0" width="600" height="400"/></g>
<g id="plotBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="92.6" y="58" width="481.4" height="283"/></g>
<g id="yMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="yMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="xMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="xMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="yAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="328.6" y1="58" x2="328.6" y2="346"/><line x1="92.6" y1="58" x2="92.6" y2="341"/></g>
<g id="xAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="87.6" y1="205.6" x2="574" y2="205.6"/><line x1="87.6" y1="341" x2="574" y2="341"/></g>
<g id="yMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M90.6,190.4 L92.6,190.4 M90.6,175.3 L92.6,175.3 M90.6,160.2 L92.6,160.2 M90.6,129.9 L92.6,129.9 M90.6,114.8 L92.6,114.8 M90.6,99.68 L92.6,99.68 M90.6,69.43 L92.6,69.43 M90.6,205.6 L92.6,205.6 M90.6,220.7 L92.6,220.7 M90.6,235.8 L92.6,235.8 M90.6,251 L92.6,251 M90.6,266.1 L92.6,266.1 M90.6,281.2 L92.6,281.2 M90.6,296.3 L92.6,296.3 M90.6,311.5 L92.6,311.5 M90.6,326.6 L92.6,326.6 " fill="none"/></g>
<g id="xMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M358.1,341 L358.1,343 M387.6,341 L387.6,343 M417.1,341 L417.1,343 M476.1,341 L476.1,343 M505.6,341 L505.6,343 M535.1,341 L535.1,343 M299.1,341 L299.1,343 M269.6,341 L269.6,343 M240.1,341 L240.1,343 M181.1,341 L181.1,343 M151.6,341 L151.6,343 M122.1,341 L122.1,343 " fill="none"/></g>
<g id="yMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M87.6,205.6 L92.6,205.6 M87.6,145.1 L92.6,145.1 M87.6,84.56 L92.6,84.56 M87.6,205.6 L92.6,205.6 M87.6,266.1 L92.6,266.1 M87.6,326.6 L92.6,326.6 " fill="none"/></g>
<g id="xMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M328.6,341 L328.6,346 M446.6,341 L446.6,346 M564.6,341 L564.6,346 M328.6,341 L328.6,346 M210.6,341 L210.6,346 M92.6,341 L92.6,346 " fill="none"/></g>
<g id="xTicksValues">
<text x="328.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">0</text>
<text x="446.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">10</text>
<text x="564.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">20</text>
<text x="328.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">0</text>
<text x="210.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-10</text>
<text x="92.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-20</text></g>
<g id="yTicksValues">
<text x="81.6" y="208" text-anchor="end" font-size="12" font-family="Verdana">0</text>
<text x="81.6" y="147.5" text-anchor="end" font-size="12" font-family="Verdana">0.5</text>
<text x="81.6" y="86.96" text-anchor="end" font-size="12" font-family="Verdana">1</text>
<text x="81.6" y="208" text-anchor="end" font-size="12" font-family="Verdana">0</text>
<text x="81.6" y="268.5" text-anchor="end" font-size="12" font-family="Verdana">-0.5</text>
<text x="81.6" y="329" text-anchor="end" font-size="12" font-family="Verdana">-1</text></g>
<g id="yLabel">
<text x="42.9" y="199.5" text-anchor="middle" transform = "rotate(-90 42.9 199.5 )" font-size="14" font-family="Verdana">airy_ai_prime(z)</text></g>
<g id="xLabel">
<text x="333.3" y="376.7" text-anchor="middle" font-size="14" font-family="Verdana">z</text></g>
<g id="plotLines" stroke-width="2"><g clip-path="url(#plot_window)" stroke="rgb(0,0,139)" stroke-width="1"><path d="M92.6,97.52 L94.96,63.55 L97.32,134.7 L99.68,257 L102,341 L104.4,327.2 L106.8,227.2 L109.1,112.9 L111.5,64.16 L113.8,113.3 L116.2,224.8 L118.6,322.3 L120.9,340.9 L123.3,270 L125.6,157.7 L128,77.46 L130.4,79.93 L132.7,161.8 L135.1,270.1 L137.4,337.4 L139.8,323.5 L142.2,238.6 L144.5,135 L146.9,74.08 L149.2,90.35 L151.6,172.6 L154,272.6 L156.3,333.8 L158.7,323.4 L161,248.9 L163.4,152 L165.8,84.73 L168.1,81.66 L170.5,142.6 L172.8,234.8 L175.2,311 L177.6,334.1 L179.9,294.2 L182.3,212.4 L184.6,128.6 L187,81.76 L189.4,92.31 L191.7,153.7 L194.1,237.1 L196.4,305.4 L198.8,329.9 L201.2,301.7 L203.5,234.3 L205.9,156.4 L208.2,99.44 L210.6,85.01 L212.9,117 L215.3,181.7 L217.7,254 L220,307.3 L222.4,323.6 L224.7,298.8 L227.1,243 L229.5,176 L231.8,120.1 L234.2,92.36 L236.5,100.1 L238.9,139.4 L241.3,197.1 L243.6,255.7 L246,298.9 L248.3,315.7 L250.7,303.2 L253.1,266.3 L255.4,215.4 L257.8,163.7 L260.1,123.4 L262.5,102.7 L264.9,105 L267.2,128.1 L269.6,166 L271.9,210 L274.3,251.5 L276.7,283.1 L279,300.2 L281.4,301.3 L283.7,287.5 L286.1,262.4 L288.5,230.8 L290.8,197.7 L293.2,167.5 L295.5,143.6 L297.9,127.9 L300.3,121.1 L302.6,122.5 L305,130.8 L307.3,143.9 L309.7,159.8 L312.1,176.6 L314.4,192.6 L316.8,206.8 L319.1,218.4 L321.5,227 L323.9,232.8 L326.2,236 L328.6,236.9 L330.9,236.1 L333.3,234.1 L335.7,231.3 L338,228.1 L340.4,224.8 L342.7,221.6 L345.1,218.7 L347.5,216.1 L349.8,213.9 L352.2,212 L354.5,210.5 L356.9,209.3 L359.3,208.3 L361.6,207.6 L364,207 L366.3,206.6 L368.7,206.3 L371.1,206.1 L373.4,205.9 L375.8,205.8 L378.1,205.7 L380.5,205.7 L382.9,205.6 L385.2,205.6 L387.6,205.6 L389.9,205.6 L392.3,205.6 L394.7,205.6 L397,205.6 L399.4,205.6 L401.7,205.6 L404.1,205.6 L406.5,205.6 L408.8,205.6 L411.2,205.6 L413.5,205.6 L415.9,205.6 L418.3,205.6 L420.6,205.6 L423,205.6 L425.3,205.6 L427.7,205.6 L430.1,205.6 L432.4,205.6 L434.8,205.6 L437.1,205.6 L439.5,205.6 L441.9,205.6 L444.2,205.6 L446.6,205.6 L448.9,205.6 L451.3,205.6 L453.6,205.6 L456,205.6 L458.4,205.6 L460.7,205.6 L463.1,205.6 L465.4,205.6 L467.8,205.6 L470.2,205.6 L472.5,205.6 L474.9,205.6 L477.2,205.6 L479.6,205.6 L482,205.6 L484.3,205.6 L486.7,205.6 L489,205.6 L491.4,205.6 L493.8,205.6 L496.1,205.6 L498.5,205.6 L500.8,205.6 L503.2,205.6 L505.6,205.6 L507.9,205.6 L510.3,205.6 L512.6,205.6 L515,205.6 L517.4,205.6 L519.7,205.6 L522.1,205.6 L524.4,205.6 L526.8,205.6 L529.2,205.6 L531.5,205.6 L533.9,205.6 L536.2,205.6 L538.6,205.6 L541,205.6 L543.3,205.6 L545.7,205.6 L548,205.6 L550.4,205.6 L552.8,205.6 L555.1,205.6 L557.5,205.6 L559.8,205.6 L562.2,205.6 L564.6,205.6 " fill="none"/></g>
</g>
<g id="plotPoints" clip-path="url(#plot_window)"></g>
<g id="title">
<text x="300" y="40" text-anchor="middle" font-size="20" font-family="Verdana">Ai'</text></g>
<g id="plotXValues"></g>
<g id="plotYValues"></g>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 7.4 KiB

BIN
doc/sf_and_dist/graphs/airy_bi.png Normal file
View File

Binary file not shown.
Side by Side

After

Width:  |  Height:  |  Size: 18 KiB

58
doc/sf_and_dist/graphs/airy_bi.svg Normal file
View File

@@ -0,0 +1,58 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<svg width="600" height ="400" version="1.1"
xmlns:svg ="http://www.w3.org/2000/svg"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cc="http://web.resource.org/cc/"
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns ="http://www.w3.org/2000/svg"
>
<!-- SVG plot written using Boost.Plot program (Creator Jacob Voytko) -->
<!-- Use, modification and distribution of Boost.Plot subject to the -->
<!-- Boost Software License, Version 1.0.-->
<!-- (See accompanying file LICENSE_1_0.txt -->
<!-- or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<!-- SVG Plot Copyright John Maddock 2008 -->
<meta name="copyright" content="John Maddock" />
<meta name="date" content="2008" />
<!-- Use, modification and distribution of this Scalable Vector Graphic file -->
<!-- are subject to the Boost Software License, Version 1.0. -->
<!-- (See accompanying file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<clipPath id="plot_window"><rect x="76.8" y="59" width="496.2" height="281"/></clipPath>
<g id="imageBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="0" y="0" width="600" height="400"/></g>
<g id="plotBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="75.8" y="58" width="498.2" height="283"/></g>
<g id="yMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="yMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="xMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="xMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="yAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="500.5" y1="58" x2="500.5" y2="346"/><line x1="75.8" y1="58" x2="75.8" y2="341"/></g>
<g id="xAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="70.8" y1="332.3" x2="574" y2="332.3"/><line x1="70.8" y1="341" x2="574" y2="341"/></g>
<g id="yMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M73.8,308.4 L75.8,308.4 M73.8,284.4 L75.8,284.4 M73.8,260.5 L75.8,260.5 M73.8,212.6 L75.8,212.6 M73.8,188.7 L75.8,188.7 M73.8,164.8 L75.8,164.8 M73.8,116.9 L75.8,116.9 M73.8,92.98 L75.8,92.98 M73.8,69.05 L75.8,69.05 M73.8,332.3 L75.8,332.3 " fill="none"/></g>
<g id="xMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M527.1,341 L527.1,343 M553.6,341 L553.6,343 M474,341 L474,343 M447.4,341 L447.4,343 M420.9,341 L420.9,343 M367.8,341 L367.8,343 M341.3,341 L341.3,343 M314.7,341 L314.7,343 M261.6,341 L261.6,343 M235.1,341 L235.1,343 M208.5,341 L208.5,343 M155.4,341 L155.4,343 M128.9,341 L128.9,343 M102.3,341 L102.3,343 " fill="none"/></g>
<g id="yMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M70.8,332.3 L75.8,332.3 M70.8,236.6 L75.8,236.6 M70.8,140.8 L75.8,140.8 M70.8,332.3 L75.8,332.3 " fill="none"/></g>
<g id="xMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M500.5,341 L500.5,346 M500.5,341 L500.5,346 M394.3,341 L394.3,346 M288.2,341 L288.2,346 M182,341 L182,346 M75.8,341 L75.8,346 " fill="none"/></g>
<g id="xTicksValues">
<text x="500.5" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">0</text>
<text x="500.5" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">0</text>
<text x="394.3" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-5</text>
<text x="288.2" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-10</text>
<text x="182" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-15</text>
<text x="75.8" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-20</text></g>
<g id="yTicksValues">
<text x="64.8" y="334.7" text-anchor="end" font-size="12" font-family="Verdana">0</text>
<text x="64.8" y="239" text-anchor="end" font-size="12" font-family="Verdana">5</text>
<text x="64.8" y="143.2" text-anchor="end" font-size="12" font-family="Verdana">10</text>
<text x="64.8" y="334.7" text-anchor="end" font-size="12" font-family="Verdana">0</text></g>
<g id="yLabel">
<text x="42.9" y="199.5" text-anchor="middle" transform = "rotate(-90 42.9 199.5 )" font-size="14" font-family="Verdana">airy_bi(z)</text></g>
<g id="xLabel">
<text x="324.9" y="376.7" text-anchor="middle" font-size="14" font-family="Verdana">z</text></g>
<g id="plotLines" stroke-width="2"><g clip-path="url(#plot_window)" stroke="rgb(0,0,139)" stroke-width="1"><path d="M75.8,336.1 L78.24,337.3 L80.68,337.2 L83.13,335.8 L85.57,333.6 L88.01,331 L90.45,328.7 L92.9,327.4 L95.34,327.2 L97.78,328.3 L100.2,330.4 L102.7,333 L105.1,335.4 L107.5,337 L110,337.5 L112.4,336.8 L114.9,335 L117.3,332.6 L119.8,330.1 L122.2,328.1 L124.6,327.1 L127.1,327.3 L129.5,328.6 L132,330.8 L134.4,333.3 L136.9,335.6 L139.3,337.1 L141.7,337.6 L144.2,336.9 L146.6,335.2 L149.1,332.9 L151.5,330.4 L153.9,328.4 L156.4,327.1 L158.8,327 L161.3,327.9 L163.7,329.8 L166.2,332.2 L168.6,334.6 L171,336.5 L173.5,337.6 L175.9,337.6 L178.4,336.6 L180.8,334.7 L183.3,332.4 L185.7,330 L188.1,328.1 L190.6,326.9 L193,326.8 L195.5,327.8 L197.9,329.5 L200.3,331.8 L202.8,334.2 L205.2,336.2 L207.7,337.5 L210.1,337.9 L212.6,337.3 L215,335.8 L217.4,333.6 L219.9,331.3 L222.3,329.1 L224.8,327.5 L227.2,326.7 L229.7,326.8 L232.1,327.8 L234.5,329.6 L237,331.8 L239.4,334.1 L241.9,336.1 L244.3,337.5 L246.8,338.1 L249.2,337.8 L251.6,336.6 L254.1,334.8 L256.5,332.5 L259,330.3 L261.4,328.4 L263.8,327 L266.3,326.4 L268.7,326.6 L271.2,327.7 L273.6,329.4 L276.1,331.5 L278.5,333.7 L280.9,335.8 L283.4,337.3 L285.8,338.2 L288.3,338.3 L290.7,337.6 L293.2,336.2 L295.6,334.4 L298,332.2 L300.5,330.1 L302.9,328.2 L305.4,326.9 L307.8,326.1 L310.2,326.2 L312.7,326.9 L315.1,328.2 L317.6,330.1 L320,332.1 L322.5,334.2 L324.9,336.1 L327.3,337.6 L329.8,338.5 L332.2,338.7 L334.7,338.3 L337.1,337.3 L339.6,335.7 L342,333.8 L344.4,331.8 L346.9,329.8 L349.3,328.1 L351.8,326.7 L354.2,325.9 L356.6,325.6 L359.1,325.9 L361.5,326.8 L364,328.2 L366.4,329.9 L368.9,331.8 L371.3,333.7 L373.7,335.6 L376.2,337.1 L378.6,338.3 L381.1,339.1 L383.5,339.3 L386,339.1 L388.4,338.3 L390.8,337.2 L393.3,335.7 L395.7,333.9 L398.2,332.1 L400.6,330.3 L403,328.6 L405.5,327.1 L407.9,326 L410.4,325.2 L412.8,324.7 L415.3,324.8 L417.7,325.2 L420.1,325.9 L422.6,327 L425,328.3 L427.5,329.9 L429.9,331.5 L432.4,333.2 L434.8,334.8 L437.2,336.3 L439.7,337.7 L442.1,338.9 L444.6,339.8 L447,340.5 L449.4,340.9 L451.9,341 L454.3,340.9 L456.8,340.5 L459.2,339.9 L461.7,339.1 L464.1,338.1 L466.5,337 L469,335.8 L471.4,334.5 L473.9,333.2 L476.3,331.9 L478.8,330.6 L481.2,329.3 L483.6,328 L486.1,326.8 L488.5,325.6 L491,324.5 L493.4,323.5 L495.9,322.4 L498.3,321.4 L500.7,320.4 L503.2,319.4 L505.6,318.4 L508.1,317.4 L510.5,316.2 L512.9,315 L515.4,313.7 L517.8,312.1 L520.3,310.4 L522.7,308.3 L525.2,306 L527.6,303.2 L530,300 L532.5,296.1 L534.9,291.6 L537.4,286.1 L539.8,279.6 L542.3,271.8 L544.7,262.4 L547.1,251.1 L549.6,237.5 L552,220.9 L554.5,200.7 L556.9,176.1 L559.3,146 L561.8,109.1 L564.2,63.55 " fill="none"/></g>
</g>
<g id="plotPoints" clip-path="url(#plot_window)"></g>
<g id="title">
<text x="300" y="40" text-anchor="middle" font-size="20" font-family="Verdana">Bi</text></g>
<g id="plotXValues"></g>
<g id="plotYValues"></g>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 7.1 KiB

BIN
doc/sf_and_dist/graphs/airy_bip.png Normal file
View File

Binary file not shown.
Side by Side

After

Width:  |  Height:  |  Size: 22 KiB

60
doc/sf_and_dist/graphs/airy_bip.svg Normal file
View File

@@ -0,0 +1,60 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<svg width="600" height ="400" version="1.1"
xmlns:svg ="http://www.w3.org/2000/svg"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cc="http://web.resource.org/cc/"
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns ="http://www.w3.org/2000/svg"
>
<!-- SVG plot written using Boost.Plot program (Creator Jacob Voytko) -->
<!-- Use, modification and distribution of Boost.Plot subject to the -->
<!-- Boost Software License, Version 1.0.-->
<!-- (See accompanying file LICENSE_1_0.txt -->
<!-- or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<!-- SVG Plot Copyright John Maddock 2008 -->
<meta name="copyright" content="John Maddock" />
<meta name="date" content="2008" />
<!-- Use, modification and distribution of this Scalable Vector Graphic file -->
<!-- are subject to the Boost Software License, Version 1.0. -->
<!-- (See accompanying file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<clipPath id="plot_window"><rect x="76.8" y="59" width="496.2" height="281"/></clipPath>
<g id="imageBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="0" y="0" width="600" height="400"/></g>
<g id="plotBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="75.8" y="58" width="498.2" height="283"/></g>
<g id="yMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="yMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="xMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="xMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="yAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="500.5" y1="58" x2="500.5" y2="346"/><line x1="75.8" y1="58" x2="75.8" y2="341"/></g>
<g id="xAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="70.8" y1="327.6" x2="574" y2="327.6"/><line x1="70.8" y1="341" x2="574" y2="341"/></g>
<g id="yMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M73.8,313.2 L75.8,313.2 M73.8,298.8 L75.8,298.8 M73.8,284.4 L75.8,284.4 M73.8,255.6 L75.8,255.6 M73.8,241.2 L75.8,241.2 M73.8,226.8 L75.8,226.8 M73.8,198 L75.8,198 M73.8,183.6 L75.8,183.6 M73.8,169.2 L75.8,169.2 M73.8,140.4 L75.8,140.4 M73.8,126 L75.8,126 M73.8,111.6 L75.8,111.6 M73.8,82.81 L75.8,82.81 M73.8,68.41 L75.8,68.41 M73.8,327.6 L75.8,327.6 " fill="none"/></g>
<g id="xMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M527.1,341 L527.1,343 M553.6,341 L553.6,343 M474,341 L474,343 M447.4,341 L447.4,343 M420.9,341 L420.9,343 M367.8,341 L367.8,343 M341.3,341 L341.3,343 M314.7,341 L314.7,343 M261.6,341 L261.6,343 M235.1,341 L235.1,343 M208.5,341 L208.5,343 M155.4,341 L155.4,343 M128.9,341 L128.9,343 M102.3,341 L102.3,343 " fill="none"/></g>
<g id="yMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M70.8,327.6 L75.8,327.6 M70.8,270 L75.8,270 M70.8,212.4 L75.8,212.4 M70.8,154.8 L75.8,154.8 M70.8,97.21 L75.8,97.21 M70.8,327.6 L75.8,327.6 " fill="none"/></g>
<g id="xMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M500.5,341 L500.5,346 M500.5,341 L500.5,346 M394.3,341 L394.3,346 M288.2,341 L288.2,346 M182,341 L182,346 M75.8,341 L75.8,346 " fill="none"/></g>
<g id="xTicksValues">
<text x="500.5" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">0</text>
<text x="500.5" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">0</text>
<text x="394.3" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-5</text>
<text x="288.2" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-10</text>
<text x="182" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-15</text>
<text x="75.8" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-20</text></g>
<g id="yTicksValues">
<text x="64.8" y="330" text-anchor="end" font-size="12" font-family="Verdana">0</text>
<text x="64.8" y="272.4" text-anchor="end" font-size="12" font-family="Verdana">5</text>
<text x="64.8" y="214.8" text-anchor="end" font-size="12" font-family="Verdana">10</text>
<text x="64.8" y="157.2" text-anchor="end" font-size="12" font-family="Verdana">15</text>
<text x="64.8" y="99.61" text-anchor="end" font-size="12" font-family="Verdana">20</text>
<text x="64.8" y="330" text-anchor="end" font-size="12" font-family="Verdana">0</text></g>
<g id="yLabel">
<text x="42.9" y="199.5" text-anchor="middle" transform = "rotate(-90 42.9 199.5 )" font-size="14" font-family="Verdana">airy_bi_prime(z)</text></g>
<g id="xLabel">
<text x="324.9" y="376.7" text-anchor="middle" font-size="14" font-family="Verdana">z</text></g>
<g id="plotLines" stroke-width="2"><g clip-path="url(#plot_window)" stroke="rgb(0,0,139)" stroke-width="1"><path d="M75.8,336.7 L78.24,330.5 L80.68,323.5 L83.13,317.7 L85.57,314.4 L88.01,314.4 L90.45,317.7 L92.9,323.5 L95.34,330.3 L97.78,336.3 L100.2,340.2 L102.7,341 L105.1,338.5 L107.5,333.4 L110,327 L112.4,320.7 L114.9,316.1 L117.3,314.2 L119.8,315.5 L122.2,319.5 L124.6,325.4 L127.1,331.7 L129.5,337.1 L132,340.3 L134.4,340.6 L136.9,338 L139.3,333.1 L141.7,327.1 L144.2,321.1 L146.6,316.7 L149.1,314.6 L151.5,315.3 L153.9,318.6 L156.4,323.8 L158.8,329.8 L161.3,335.2 L163.7,339.1 L166.2,340.5 L168.6,339.3 L171,335.8 L173.5,330.6 L175.9,324.9 L178.4,319.7 L180.8,316.1 L183.3,314.8 L185.7,316 L188.1,319.4 L190.6,324.3 L193,329.8 L195.5,334.9 L197.9,338.5 L200.3,340.1 L202.8,339.4 L205.2,336.6 L207.7,332.1 L210.1,326.9 L212.6,321.8 L215,317.8 L217.4,315.6 L219.9,315.4 L222.3,317.3 L224.8,321 L227.2,325.7 L229.7,330.7 L232.1,335.2 L234.5,338.4 L237,339.7 L239.4,339.2 L241.9,336.7 L244.3,332.9 L246.8,328.2 L249.2,323.5 L251.6,319.5 L254.1,316.7 L256.5,315.6 L259,316.3 L261.4,318.7 L263.8,322.3 L266.3,326.7 L268.7,331.1 L271.2,335 L273.6,337.8 L276.1,339.2 L278.5,339 L280.9,337.2 L283.4,334.1 L285.8,330.2 L288.3,326 L290.7,322.1 L293.2,318.9 L295.6,316.8 L298,316.2 L300.5,316.9 L302.9,319 L305.4,322 L307.8,325.7 L310.2,329.6 L312.7,333.2 L315.1,336.1 L317.6,338 L320,338.7 L322.5,338.2 L324.9,336.5 L327.3,333.9 L329.8,330.6 L332.2,327.1 L334.7,323.7 L337.1,320.7 L339.6,318.5 L342,317.2 L344.4,316.9 L346.9,317.7 L349.3,319.3 L351.8,321.7 L354.2,324.6 L356.6,327.8 L359.1,330.8 L361.5,333.5 L364,335.7 L366.4,337.2 L368.9,337.8 L371.3,337.6 L373.7,336.6 L376.2,335 L378.6,332.8 L381.1,330.2 L383.5,327.5 L386,324.9 L388.4,322.5 L390.8,320.5 L393.3,319.1 L395.7,318.2 L398.2,318 L400.6,318.3 L403,319.2 L405.5,320.6 L407.9,322.4 L410.4,324.4 L412.8,326.5 L415.3,328.7 L417.7,330.7 L420.1,332.5 L422.6,334 L425,335.2 L427.5,335.9 L429.9,336.3 L432.4,336.3 L434.8,335.9 L437.2,335.2 L439.7,334.3 L442.1,333.1 L444.6,331.8 L447,330.4 L449.4,328.9 L451.9,327.5 L454.3,326.2 L456.8,325 L459.2,323.9 L461.7,322.9 L464.1,322.2 L466.5,321.6 L469,321.1 L471.4,320.8 L473.9,320.7 L476.3,320.7 L478.8,320.7 L481.2,320.9 L483.6,321.1 L486.1,321.4 L488.5,321.6 L491,321.9 L493.4,322.1 L495.9,322.3 L498.3,322.4 L500.7,322.4 L503.2,322.4 L505.6,322.2 L508.1,321.9 L510.5,321.5 L512.9,320.9 L515.4,320.1 L517.8,319 L520.3,317.8 L522.7,316.2 L525.2,314.3 L527.6,312 L530,309.1 L532.5,305.7 L534.9,301.5 L537.4,296.5 L539.8,290.4 L542.3,282.9 L544.7,273.8 L547.1,262.7 L549.6,249 L552,232.1 L554.5,211.3 L556.9,185.5 L559.3,153.5 L561.8,113.5 L564.2,63.55 " fill="none"/></g>
</g>
<g id="plotPoints" clip-path="url(#plot_window)"></g>
<g id="title">
<text x="300" y="40" text-anchor="middle" font-size="20" font-family="Verdana">Bi'</text></g>
<g id="plotXValues"></g>
<g id="plotYValues"></g>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 7.4 KiB

11
doc/sf_and_dist/graphs/dist_graphs.cpp
View File

@@ -391,8 +391,19 @@ int main()
nc_t_plotter.add(boost::math::non_central_t(10, 0), "v=10, &#x3B4;=0");
nc_t_plotter.add(boost::math::non_central_t(10, 5), "v=10, &#x3B4;=5");
nc_t_plotter.add(boost::math::non_central_t(10, 10), "v=10, &#x3B4;=10");
nc_t_plotter.add(boost::math::non_central_t(std::numeric_limits<double>::infinity(), 15), "v=inf, &#x3B4;=15");
nc_t_plotter.plot("Non Central T PDF", "nc_t_pdf.svg");
distribution_plotter<boost::math::non_central_t>
nc_t_CDF_plotter(false);
nc_t_CDF_plotter.add(boost::math::non_central_t(10, -10), "v=10, &#x3B4;=-10");
nc_t_CDF_plotter.add(boost::math::non_central_t(10, -5), "v=10, &#x3B4;=-5");
nc_t_CDF_plotter.add(boost::math::non_central_t(10, 0), "v=10, &#x3B4;=0");
nc_t_CDF_plotter.add(boost::math::non_central_t(10, 5), "v=10, &#x3B4;=5");
nc_t_CDF_plotter.add(boost::math::non_central_t(10, 10), "v=10, &#x3B4;=10");
nc_t_CDF_plotter.add(boost::math::non_central_t(std::numeric_limits<double>::infinity(), 15), "v=inf, &#x3B4;=15");
nc_t_CDF_plotter.plot("Non Central T CDF", "nc_t_cdf.svg");
distribution_plotter<boost::math::beta_distribution<> >
beta_plotter;
beta_plotter.add(boost::math::beta_distribution<>(0.5, 0.5), "alpha=0.5, beta=0.5");

BIN
doc/sf_and_dist/graphs/jacobi_cd.png Normal file
View File

Binary file not shown.
Side by Side

After

Width:  |  Height:  |  Size: 65 KiB

76
doc/sf_and_dist/graphs/jacobi_cd.svg Normal file
View File

@@ -0,0 +1,76 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<svg width="600" height ="400" version="1.1"
xmlns:svg ="http://www.w3.org/2000/svg"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cc="http://web.resource.org/cc/"
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns ="http://www.w3.org/2000/svg"
>
<!-- SVG plot written using Boost.Plot program (Creator Jacob Voytko) -->
<!-- Use, modification and distribution of Boost.Plot subject to the -->
<!-- Boost Software License, Version 1.0.-->
<!-- (See accompanying file LICENSE_1_0.txt -->
<!-- or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<!-- SVG Plot Copyright John Maddock 2008 -->
<meta name="copyright" content="John Maddock" />
<meta name="date" content="2008" />
<!-- Use, modification and distribution of this Scalable Vector Graphic file -->
<!-- are subject to the Boost Software License, Version 1.0. -->
<!-- (See accompanying file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<clipPath id="plot_window"><rect x="93.6" y="59" width="358.4" height="281"/></clipPath>
<g id="imageBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="0" y="0" width="600" height="400"/></g>
<g id="plotBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="92.6" y="58" width="360.4" height="283"/></g>
<g id="yMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="yMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="xMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="xMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="yAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="269.2" y1="58" x2="269.2" y2="346"/><line x1="92.6" y1="58" x2="92.6" y2="341"/></g>
<g id="xAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="87.6" y1="202.3" x2="453" y2="202.3"/><line x1="87.6" y1="341" x2="453" y2="341"/></g>
<g id="yMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M90.6,184.9 L92.6,184.9 M90.6,167.6 L92.6,167.6 M90.6,150.3 L92.6,150.3 M90.6,115.6 L92.6,115.6 M90.6,98.23 L92.6,98.23 M90.6,80.89 L92.6,80.89 M90.6,202.3 L92.6,202.3 M90.6,219.6 L92.6,219.6 M90.6,237 L92.6,237 M90.6,254.3 L92.6,254.3 M90.6,271.6 L92.6,271.6 M90.6,289 L92.6,289 M90.6,306.3 L92.6,306.3 M90.6,323.7 L92.6,323.7 " fill="none"/></g>
<g id="xMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M291.3,341 L291.3,343 M313.4,341 L313.4,343 M335.5,341 L335.5,343 M379.7,341 L379.7,343 M401.7,341 L401.7,343 M423.8,341 L423.8,343 M247.2,341 L247.2,343 M225.1,341 L225.1,343 M203,341 L203,343 M158.8,341 L158.8,343 M136.8,341 L136.8,343 M114.7,341 L114.7,343 " fill="none"/></g>
<g id="yMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M87.6,202.3 L92.6,202.3 M87.6,132.9 L92.6,132.9 M87.6,63.55 L92.6,63.55 M87.6,202.3 L92.6,202.3 M87.6,271.6 L92.6,271.6 " fill="none"/></g>
<g id="xMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M269.2,341 L269.2,346 M357.6,341 L357.6,346 M445.9,341 L445.9,346 M269.2,341 L269.2,346 M180.9,341 L180.9,346 M92.6,341 L92.6,346 " fill="none"/></g>
<g id="xTicksValues">
<text x="269.2" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">0</text>
<text x="357.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">5</text>
<text x="445.9" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">10</text>
<text x="269.2" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">0</text>
<text x="180.9" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-5</text>
<text x="92.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-10</text></g>
<g id="yTicksValues">
<text x="81.6" y="204.7" text-anchor="end" font-size="12" font-family="Verdana">0</text>
<text x="81.6" y="135.3" text-anchor="end" font-size="12" font-family="Verdana">0.5</text>
<text x="81.6" y="65.95" text-anchor="end" font-size="12" font-family="Verdana">1</text>
<text x="81.6" y="204.7" text-anchor="end" font-size="12" font-family="Verdana">0</text>
<text x="81.6" y="274" text-anchor="end" font-size="12" font-family="Verdana">-0.5</text></g>
<g id="yLabel">
<text x="42.9" y="199.5" text-anchor="middle" transform = "rotate(-90 42.9 199.5 )" font-size="14" font-family="Verdana">jacobi_cd(k, u)</text></g>
<g id="xLabel">
<text x="272.8" y="376.7" text-anchor="middle" font-size="14" font-family="Verdana">k</text></g>
<g id="plotLines" stroke-width="2"><g clip-path="url(#plot_window)" stroke="rgb(0,0,139)" stroke-width="1"><path d="M92.6,318.7 L94.37,325.6 L96.13,331.4 L97.9,335.8 L99.67,338.9 L101.4,340.6 L103.2,341 L105,339.9 L106.7,337.5 L108.5,333.8 L110.3,328.7 L112,322.3 L113.8,314.8 L115.6,306.1 L117.3,296.4 L119.1,285.8 L120.9,274.3 L122.6,262.1 L124.4,249.3 L126.2,236.1 L127.9,222.5 L129.7,208.7 L131.5,194.8 L133.2,181 L135,167.4 L136.8,154.2 L138.5,141.4 L140.3,129.3 L142.1,117.9 L143.8,107.3 L145.6,97.69 L147.4,89.11 L149.1,81.67 L150.9,75.43 L152.7,70.45 L154.4,66.8 L156.2,64.49 L158,63.57 L159.7,64.03 L161.5,65.87 L163.3,69.07 L165,73.61 L166.8,79.43 L168.6,86.48 L170.3,94.68 L172.1,104 L173.9,114.2 L175.6,125.4 L177.4,137.3 L179.2,149.8 L180.9,162.9 L182.7,176.4 L184.5,190.1 L186.2,204 L188,217.8 L189.8,231.5 L191.5,244.9 L193.3,257.9 L195.1,270.3 L196.8,282 L198.6,293 L200.4,303 L202.1,312 L203.9,319.9 L205.7,326.7 L207.4,332.2 L209.2,336.4 L211,339.3 L212.7,340.8 L214.5,340.9 L216.3,339.6 L218,337 L219.8,333 L221.6,327.7 L223.3,321.1 L225.1,313.4 L226.9,304.6 L228.6,294.7 L230.4,283.9 L232.2,272.3 L233.9,260 L235.7,247.1 L237.5,233.8 L239.2,220.2 L241,206.3 L242.7,192.5 L244.5,178.7 L246.3,165.2 L248,152 L249.8,139.3 L251.6,127.3 L253.3,116 L255.1,105.6 L256.9,96.17 L258.6,87.78 L260.4,80.53 L262.2,74.5 L263.9,69.75 L265.7,66.31 L267.5,64.24 L269.2,63.55 L271,64.24 L272.8,66.31 L274.5,69.75 L276.3,74.5 L278.1,80.53 L279.8,87.78 L281.6,96.17 L283.4,105.6 L285.1,116 L286.9,127.3 L288.7,139.3 L290.4,152 L292.2,165.2 L294,178.7 L295.7,192.5 L297.5,206.3 L299.3,220.2 L301,233.8 L302.8,247.1 L304.6,260 L306.3,272.3 L308.1,283.9 L309.9,294.7 L311.6,304.6 L313.4,313.4 L315.2,321.1 L316.9,327.7 L318.7,333 L320.5,337 L322.2,339.6 L324,340.9 L325.8,340.8 L327.5,339.3 L329.3,336.4 L331.1,332.2 L332.8,326.7 L334.6,319.9 L336.4,312 L338.1,303 L339.9,293 L341.7,282 L343.4,270.3 L345.2,257.9 L347,244.9 L348.7,231.5 L350.5,217.8 L352.3,204 L354,190.1 L355.8,176.4 L357.6,162.9 L359.3,149.8 L361.1,137.3 L362.9,125.4 L364.6,114.2 L366.4,104 L368.2,94.68 L369.9,86.48 L371.7,79.43 L373.5,73.61 L375.2,69.07 L377,65.87 L378.8,64.03 L380.5,63.57 L382.3,64.49 L384.1,66.8 L385.8,70.45 L387.6,75.43 L389.4,81.67 L391.1,89.11 L392.9,97.69 L394.7,107.3 L396.4,117.9 L398.2,129.3 L400,141.4 L401.7,154.2 L403.5,167.4 L405.3,181 L407,194.8 L408.8,208.7 L410.6,222.5 L412.3,236.1 L414.1,249.3 L415.9,262.1 L417.6,274.3 L419.4,285.8 L421.2,296.4 L422.9,306.1 L424.7,314.8 L426.5,322.3 L428.2,328.7 L430,333.8 L431.8,337.5 L433.5,339.9 L435.3,341 L437.1,340.6 L438.8,338.9 L440.6,335.8 L442.4,331.4 L444.1,325.6 L445.9,318.7 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(139,0,0)" stroke-width="1"><path d="M92.6,340.3 L94.37,338.6 L96.13,335.8 L97.9,332 L99.67,327.2 L101.4,321.3 L103.2,314.3 L105,306.3 L106.7,297.3 L108.5,287.3 L110.3,276.4 L112,264.7 L113.8,252.3 L115.6,239.3 L117.3,225.9 L119.1,212.1 L120.9,198.3 L122.6,184.5 L124.4,170.9 L126.2,157.7 L127.9,145 L129.7,133 L131.5,121.8 L133.2,111.4 L135,102 L136.8,93.54 L138.5,86.13 L140.3,79.76 L142.1,74.45 L143.8,70.19 L145.6,66.99 L147.4,64.83 L149.1,63.72 L150.9,63.65 L152.7,64.61 L154.4,66.62 L156.2,69.68 L158,73.79 L159.7,78.96 L161.5,85.18 L163.3,92.44 L165,100.7 L166.8,110 L168.6,120.3 L170.3,131.4 L172.1,143.3 L173.9,155.9 L175.6,169 L177.4,182.6 L179.2,196.3 L180.9,210.2 L182.7,224 L184.5,237.5 L186.2,250.5 L188,263 L189.8,274.8 L191.5,285.8 L193.3,295.9 L195.1,305.1 L196.8,313.2 L198.6,320.3 L200.4,326.4 L202.1,331.4 L203.9,335.4 L205.7,338.3 L207.4,340.1 L209.2,341 L211,340.7 L212.7,339.5 L214.5,337.2 L216.3,333.8 L218,329.4 L219.8,323.9 L221.6,317.4 L223.3,309.9 L225.1,301.3 L226.9,291.7 L228.6,281.2 L230.4,269.9 L232.2,257.8 L233.9,245 L235.7,231.7 L237.5,218.1 L239.2,204.3 L241,190.4 L242.7,176.7 L244.5,163.3 L246.3,150.4 L248,138.1 L249.8,126.5 L251.6,115.7 L253.3,105.9 L255.1,97.04 L256.9,89.19 L258.6,82.37 L260.4,76.61 L262.2,71.9 L263.9,68.24 L265.7,65.63 L267.5,64.07 L269.2,63.55 L271,64.07 L272.8,65.63 L274.5,68.24 L276.3,71.9 L278.1,76.61 L279.8,82.37 L281.6,89.19 L283.4,97.04 L285.1,105.9 L286.9,115.7 L288.7,126.5 L290.4,138.1 L292.2,150.4 L294,163.3 L295.7,176.7 L297.5,190.4 L299.3,204.3 L301,218.1 L302.8,231.7 L304.6,245 L306.3,257.8 L308.1,269.9 L309.9,281.2 L311.6,291.7 L313.4,301.3 L315.2,309.9 L316.9,317.4 L318.7,323.9 L320.5,329.4 L322.2,333.8 L324,337.2 L325.8,339.5 L327.5,340.7 L329.3,341 L331.1,340.1 L332.8,338.3 L334.6,335.4 L336.4,331.4 L338.1,326.4 L339.9,320.3 L341.7,313.2 L343.4,305.1 L345.2,295.9 L347,285.8 L348.7,274.8 L350.5,263 L352.3,250.5 L354,237.5 L355.8,224 L357.6,210.2 L359.3,196.3 L361.1,182.6 L362.9,169 L364.6,155.9 L366.4,143.3 L368.2,131.4 L369.9,120.3 L371.7,110 L373.5,100.7 L375.2,92.44 L377,85.18 L378.8,78.96 L380.5,73.79 L382.3,69.68 L384.1,66.62 L385.8,64.61 L387.6,63.65 L389.4,63.72 L391.1,64.83 L392.9,66.99 L394.7,70.19 L396.4,74.45 L398.2,79.76 L400,86.13 L401.7,93.54 L403.5,102 L405.3,111.4 L407,121.8 L408.8,133 L410.6,145 L412.3,157.7 L414.1,170.9 L415.9,184.5 L417.6,198.3 L419.4,212.1 L421.2,225.9 L422.9,239.3 L424.7,252.3 L426.5,264.7 L428.2,276.4 L430,287.3 L431.8,297.3 L433.5,306.3 L435.3,314.3 L437.1,321.3 L438.8,327.2 L440.6,332 L442.4,335.8 L444.1,338.6 L445.9,340.3 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(0,100,0)" stroke-width="1"><path d="M92.6,261 L94.37,248.7 L96.13,235.7 L97.9,222.3 L99.67,208.5 L101.4,194.7 L103.2,180.9 L105,167.5 L106.7,154.6 L108.5,142.4 L110.3,131 L112,120.4 L113.8,110.9 L115.6,102.3 L117.3,94.69 L119.1,88.03 L120.9,82.29 L122.6,77.42 L124.4,73.35 L126.2,70.05 L127.9,67.47 L129.7,65.56 L131.5,64.29 L133.2,63.64 L135,63.61 L136.8,64.18 L138.5,65.37 L140.3,67.2 L142.1,69.7 L143.8,72.92 L145.6,76.88 L147.4,81.66 L149.1,87.29 L150.9,93.83 L152.7,101.3 L154.4,109.8 L156.2,119.2 L158,129.6 L159.7,140.9 L161.5,153.1 L163.3,165.9 L165,179.3 L166.8,193 L168.6,206.8 L170.3,220.6 L172.1,234.1 L173.9,247.2 L175.6,259.6 L177.4,271.2 L179.2,281.9 L180.9,291.7 L182.7,300.5 L184.5,308.3 L186.2,315.1 L188,321.1 L189.8,326.1 L191.5,330.4 L193.3,333.8 L195.1,336.6 L196.8,338.6 L198.6,340 L200.4,340.8 L202.1,341 L203.9,340.6 L205.7,339.5 L207.4,337.8 L209.2,335.5 L211,332.4 L212.7,328.6 L214.5,324 L216.3,318.6 L218,312.2 L219.8,305 L221.6,296.7 L223.3,287.5 L225.1,277.3 L226.9,266.2 L228.6,254.2 L230.4,241.5 L232.2,228.3 L233.9,214.6 L235.7,200.8 L237.5,186.9 L239.2,173.3 L241,160.2 L242.7,147.7 L244.5,135.9 L246.3,124.9 L248,115 L249.8,105.9 L251.6,97.91 L253.3,90.84 L255.1,84.71 L256.9,79.46 L258.6,75.04 L260.4,71.41 L262.2,68.52 L263.9,66.32 L265.7,64.77 L267.5,63.85 L269.2,63.55 L271,63.85 L272.8,64.77 L274.5,66.32 L276.3,68.52 L278.1,71.41 L279.8,75.04 L281.6,79.46 L283.4,84.71 L285.1,90.84 L286.9,97.91 L288.7,105.9 L290.4,115 L292.2,124.9 L294,135.9 L295.7,147.7 L297.5,160.2 L299.3,173.3 L301,186.9 L302.8,200.8 L304.6,214.6 L306.3,228.3 L308.1,241.5 L309.9,254.2 L311.6,266.2 L313.4,277.3 L315.2,287.5 L316.9,296.7 L318.7,305 L320.5,312.2 L322.2,318.6 L324,324 L325.8,328.6 L327.5,332.4 L329.3,335.5 L331.1,337.8 L332.8,339.5 L334.6,340.6 L336.4,341 L338.1,340.8 L339.9,340 L341.7,338.6 L343.4,336.6 L345.2,333.8 L347,330.4 L348.7,326.1 L350.5,321.1 L352.3,315.1 L354,308.3 L355.8,300.5 L357.6,291.7 L359.3,281.9 L361.1,271.2 L362.9,259.6 L364.6,247.2 L366.4,234.1 L368.2,220.6 L369.9,206.8 L371.7,193 L373.5,179.3 L375.2,165.9 L377,153.1 L378.8,140.9 L380.5,129.6 L382.3,119.2 L384.1,109.8 L385.8,101.3 L387.6,93.83 L389.4,87.29 L391.1,81.66 L392.9,76.88 L394.7,72.92 L396.4,69.7 L398.2,67.2 L400,65.37 L401.7,64.18 L403.5,63.61 L405.3,63.64 L407,64.29 L408.8,65.56 L410.6,67.47 L412.3,70.05 L414.1,73.35 L415.9,77.42 L417.6,82.29 L419.4,88.03 L421.2,94.69 L422.9,102.3 L424.7,110.9 L426.5,120.4 L428.2,131 L430,142.4 L431.8,154.6 L433.5,167.5 L435.3,180.9 L437.1,194.7 L438.8,208.5 L440.6,222.3 L442.4,235.7 L444.1,248.7 L445.9,261 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(255,140,0)" stroke-width="1"><path d="M92.6,64.46 L94.37,65.07 L96.13,65.87 L97.9,66.89 L99.67,68.15 L101.4,69.7 L103.2,71.59 L105,73.88 L106.7,76.62 L108.5,79.89 L110.3,83.77 L112,88.35 L113.8,93.7 L115.6,99.92 L117.3,107.1 L119.1,115.2 L120.9,124.4 L122.6,134.7 L124.4,145.9 L126.2,158 L127.9,170.9 L129.7,184.3 L131.5,198.1 L133.2,212 L135,225.7 L136.8,238.9 L138.5,251.5 L140.3,263.3 L142.1,274.1 L143.8,283.9 L145.6,292.7 L147.4,300.5 L149.1,307.2 L150.9,313.1 L152.7,318.1 L154.4,322.4 L156.2,326 L158,329.1 L159.7,331.6 L161.5,333.8 L163.3,335.5 L165,336.9 L166.8,338.1 L168.6,339 L170.3,339.7 L172.1,340.3 L173.9,340.7 L175.6,340.9 L177.4,341 L179.2,341 L180.9,340.8 L182.7,340.5 L184.5,340 L186.2,339.3 L188,338.5 L189.8,337.4 L191.5,336.1 L193.3,334.5 L195.1,332.5 L196.8,330.2 L198.6,327.3 L200.4,323.9 L202.1,319.9 L203.9,315.2 L205.7,309.7 L207.4,303.3 L209.2,295.9 L211,287.6 L212.7,278.1 L214.5,267.7 L216.3,256.3 L218,244 L219.8,231 L221.6,217.5 L223.3,203.7 L225.1,189.8 L226.9,176.2 L228.6,163.1 L230.4,150.6 L232.2,139 L233.9,128.4 L235.7,118.8 L237.5,110.2 L239.2,102.7 L241,96.08 L242.7,90.39 L244.5,85.51 L246.3,81.36 L248,77.86 L249.8,74.91 L251.6,72.45 L253.3,70.41 L255.1,68.73 L256.9,67.36 L258.6,66.25 L260.4,65.37 L262.2,64.68 L263.9,64.17 L265.7,63.82 L267.5,63.62 L269.2,63.55 L271,63.62 L272.8,63.82 L274.5,64.17 L276.3,64.68 L278.1,65.37 L279.8,66.25 L281.6,67.36 L283.4,68.73 L285.1,70.41 L286.9,72.45 L288.7,74.91 L290.4,77.86 L292.2,81.36 L294,85.51 L295.7,90.39 L297.5,96.08 L299.3,102.7 L301,110.2 L302.8,118.8 L304.6,128.4 L306.3,139 L308.1,150.6 L309.9,163.1 L311.6,176.2 L313.4,189.8 L315.2,203.7 L316.9,217.5 L318.7,231 L320.5,244 L322.2,256.3 L324,267.7 L325.8,278.1 L327.5,287.6 L329.3,295.9 L331.1,303.3 L332.8,309.7 L334.6,315.2 L336.4,319.9 L338.1,323.9 L339.9,327.3 L341.7,330.2 L343.4,332.5 L345.2,334.5 L347,336.1 L348.7,337.4 L350.5,338.5 L352.3,339.3 L354,340 L355.8,340.5 L357.6,340.8 L359.3,341 L361.1,341 L362.9,340.9 L364.6,340.7 L366.4,340.3 L368.2,339.7 L369.9,339 L371.7,338.1 L373.5,336.9 L375.2,335.5 L377,333.8 L378.8,331.6 L380.5,329.1 L382.3,326 L384.1,322.4 L385.8,318.1 L387.6,313.1 L389.4,307.2 L391.1,300.5 L392.9,292.7 L394.7,283.9 L396.4,274.1 L398.2,263.3 L400,251.5 L401.7,238.9 L403.5,225.7 L405.3,212 L407,198.1 L408.8,184.3 L410.6,170.9 L412.3,158 L414.1,145.9 L415.9,134.7 L417.6,124.4 L419.4,115.2 L421.2,107.1 L422.9,99.92 L424.7,93.7 L426.5,88.35 L428.2,83.77 L430,79.89 L431.8,76.62 L433.5,73.88 L435.3,71.59 L437.1,69.7 L438.8,68.15 L440.6,66.89 L442.4,65.87 L444.1,65.07 L445.9,64.46 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(127,255,0)" stroke-width="1"><path d="M92.6,63.55 L94.37,63.55 L96.13,63.55 L97.9,63.55 L99.67,63.55 L101.4,63.55 L103.2,63.55 L105,63.55 L106.7,63.55 L108.5,63.55 L110.3,63.55 L112,63.55 L113.8,63.55 L115.6,63.55 L117.3,63.55 L119.1,63.55 L120.9,63.55 L122.6,63.55 L124.4,63.55 L126.2,63.55 L127.9,63.55 L129.7,63.55 L131.5,63.55 L133.2,63.55 L135,63.55 L136.8,63.55 L138.5,63.55 L140.3,63.55 L142.1,63.55 L143.8,63.55 L145.6,63.55 L147.4,63.55 L149.1,63.55 L150.9,63.55 L152.7,63.55 L154.4,63.55 L156.2,63.55 L158,63.55 L159.7,63.55 L161.5,63.55 L163.3,63.55 L165,63.55 L166.8,63.55 L168.6,63.55 L170.3,63.55 L172.1,63.55 L173.9,63.55 L175.6,63.55 L177.4,63.55 L179.2,63.55 L180.9,63.55 L182.7,63.55 L184.5,63.55 L186.2,63.55 L188,63.55 L189.8,63.55 L191.5,63.55 L193.3,63.55 L195.1,63.55 L196.8,63.55 L198.6,63.55 L200.4,63.55 L202.1,63.55 L203.9,63.55 L205.7,63.55 L207.4,63.55 L209.2,63.55 L211,63.55 L212.7,63.55 L214.5,63.55 L216.3,63.55 L218,63.55 L219.8,63.55 L221.6,63.55 L223.3,63.55 L225.1,63.55 L226.9,63.55 L228.6,63.55 L230.4,63.55 L232.2,63.55 L233.9,63.55 L235.7,63.55 L237.5,63.55 L239.2,63.55 L241,63.55 L242.7,63.55 L244.5,63.55 L246.3,63.55 L248,63.55 L249.8,63.55 L251.6,63.55 L253.3,63.55 L255.1,63.55 L256.9,63.55 L258.6,63.55 L260.4,63.55 L262.2,63.55 L263.9,63.55 L265.7,63.55 L267.5,63.55 L269.2,63.55 L271,63.55 L272.8,63.55 L274.5,63.55 L276.3,63.55 L278.1,63.55 L279.8,63.55 L281.6,63.55 L283.4,63.55 L285.1,63.55 L286.9,63.55 L288.7,63.55 L290.4,63.55 L292.2,63.55 L294,63.55 L295.7,63.55 L297.5,63.55 L299.3,63.55 L301,63.55 L302.8,63.55 L304.6,63.55 L306.3,63.55 L308.1,63.55 L309.9,63.55 L311.6,63.55 L313.4,63.55 L315.2,63.55 L316.9,63.55 L318.7,63.55 L320.5,63.55 L322.2,63.55 L324,63.55 L325.8,63.55 L327.5,63.55 L329.3,63.55 L331.1,63.55 L332.8,63.55 L334.6,63.55 L336.4,63.55 L338.1,63.55 L339.9,63.55 L341.7,63.55 L343.4,63.55 L345.2,63.55 L347,63.55 L348.7,63.55 L350.5,63.55 L352.3,63.55 L354,63.55 L355.8,63.55 L357.6,63.55 L359.3,63.55 L361.1,63.55 L362.9,63.55 L364.6,63.55 L366.4,63.55 L368.2,63.55 L369.9,63.55 L371.7,63.55 L373.5,63.55 L375.2,63.55 L377,63.55 L378.8,63.55 L380.5,63.55 L382.3,63.55 L384.1,63.55 L385.8,63.55 L387.6,63.55 L389.4,63.55 L391.1,63.55 L392.9,63.55 L394.7,63.55 L396.4,63.55 L398.2,63.55 L400,63.55 L401.7,63.55 L403.5,63.55 L405.3,63.55 L407,63.55 L408.8,63.55 L410.6,63.55 L412.3,63.55 L414.1,63.55 L415.9,63.55 L417.6,63.55 L419.4,63.55 L421.2,63.55 L422.9,63.55 L424.7,63.55 L426.5,63.55 L428.2,63.55 L430,63.55 L431.8,63.55 L433.5,63.55 L435.3,63.55 L437.1,63.55 L438.8,63.55 L440.6,63.55 L442.4,63.55 L444.1,63.55 L445.9,63.55 " fill="none"/></g>
</g>
<g id="plotPoints" clip-path="url(#plot_window)"></g>
<g id="legendBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="1"><rect x="467" y="58" width="107" height="154"/><rect x="467" y="58" width="107" height="154"/></g>
<g id="legendPoints"><g stroke="rgb(0,0,139)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="86" x2="495" y2="86"/></g>
<g stroke="rgb(139,0,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="114" x2="495" y2="114"/></g>
<g stroke="rgb(0,100,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="142" x2="495" y2="142"/></g>
<g stroke="rgb(255,140,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="170" x2="495" y2="170"/></g>
<g stroke="rgb(127,255,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="198" x2="495" y2="198"/></g>
</g>
<g id="legendText">
<text x="502" y="86" font-size="14" font-family="Verdana">k=0</text>
<text x="502" y="114" font-size="14" font-family="Verdana">k=0.5</text>
<text x="502" y="142" font-size="14" font-family="Verdana">k=0.75</text>
<text x="502" y="170" font-size="14" font-family="Verdana">k=0.95</text>
<text x="502" y="198" font-size="14" font-family="Verdana">k=1</text></g>
<g id="title">
<text x="300" y="40" text-anchor="middle" font-size="20" font-family="Verdana">Jacobi Elliptic cd</text></g>
<g id="plotXValues"></g>
<g id="plotYValues"></g>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 19 KiB

BIN
doc/sf_and_dist/graphs/jacobi_cn.png Normal file
View File

Binary file not shown.
Side by Side

After

Width:  |  Height:  |  Size: 67 KiB

76
doc/sf_and_dist/graphs/jacobi_cn.svg Normal file
View File

@@ -0,0 +1,76 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<svg width="600" height ="400" version="1.1"
xmlns:svg ="http://www.w3.org/2000/svg"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cc="http://web.resource.org/cc/"
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns ="http://www.w3.org/2000/svg"
>
<!-- SVG plot written using Boost.Plot program (Creator Jacob Voytko) -->
<!-- Use, modification and distribution of Boost.Plot subject to the -->
<!-- Boost Software License, Version 1.0.-->
<!-- (See accompanying file LICENSE_1_0.txt -->
<!-- or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<!-- SVG Plot Copyright John Maddock 2008 -->
<meta name="copyright" content="John Maddock" />
<meta name="date" content="2008" />
<!-- Use, modification and distribution of this Scalable Vector Graphic file -->
<!-- are subject to the Boost Software License, Version 1.0. -->
<!-- (See accompanying file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<clipPath id="plot_window"><rect x="93.6" y="59" width="358.4" height="281"/></clipPath>
<g id="imageBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="0" y="0" width="600" height="400"/></g>
<g id="plotBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="92.6" y="58" width="360.4" height="283"/></g>
<g id="yMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="yMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="xMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="xMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="yAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="269.2" y1="58" x2="269.2" y2="346"/><line x1="92.6" y1="58" x2="92.6" y2="341"/></g>
<g id="xAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="87.6" y1="202.3" x2="453" y2="202.3"/><line x1="87.6" y1="341" x2="453" y2="341"/></g>
<g id="yMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M90.6,184.9 L92.6,184.9 M90.6,167.6 L92.6,167.6 M90.6,150.3 L92.6,150.3 M90.6,115.6 L92.6,115.6 M90.6,98.23 L92.6,98.23 M90.6,80.89 L92.6,80.89 M90.6,202.3 L92.6,202.3 M90.6,219.6 L92.6,219.6 M90.6,237 L92.6,237 M90.6,254.3 L92.6,254.3 M90.6,271.7 L92.6,271.7 M90.6,289 L92.6,289 M90.6,306.3 L92.6,306.3 M90.6,323.7 L92.6,323.7 " fill="none"/></g>
<g id="xMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M291.3,341 L291.3,343 M313.4,341 L313.4,343 M335.5,341 L335.5,343 M379.7,341 L379.7,343 M401.7,341 L401.7,343 M423.8,341 L423.8,343 M247.2,341 L247.2,343 M225.1,341 L225.1,343 M203,341 L203,343 M158.8,341 L158.8,343 M136.8,341 L136.8,343 M114.7,341 L114.7,343 " fill="none"/></g>
<g id="yMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M87.6,202.3 L92.6,202.3 M87.6,132.9 L92.6,132.9 M87.6,63.55 L92.6,63.55 M87.6,202.3 L92.6,202.3 M87.6,271.7 L92.6,271.7 " fill="none"/></g>
<g id="xMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M269.2,341 L269.2,346 M357.6,341 L357.6,346 M445.9,341 L445.9,346 M269.2,341 L269.2,346 M180.9,341 L180.9,346 M92.6,341 L92.6,346 " fill="none"/></g>
<g id="xTicksValues">
<text x="269.2" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">0</text>
<text x="357.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">5</text>
<text x="445.9" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">10</text>
<text x="269.2" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">0</text>
<text x="180.9" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-5</text>
<text x="92.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-10</text></g>
<g id="yTicksValues">
<text x="81.6" y="204.7" text-anchor="end" font-size="12" font-family="Verdana">0</text>
<text x="81.6" y="135.3" text-anchor="end" font-size="12" font-family="Verdana">0.5</text>
<text x="81.6" y="65.95" text-anchor="end" font-size="12" font-family="Verdana">1</text>
<text x="81.6" y="204.7" text-anchor="end" font-size="12" font-family="Verdana">0</text>
<text x="81.6" y="274.1" text-anchor="end" font-size="12" font-family="Verdana">-0.5</text></g>
<g id="yLabel">
<text x="42.9" y="199.5" text-anchor="middle" transform = "rotate(-90 42.9 199.5 )" font-size="14" font-family="Verdana">jacobi_cn(k, u)</text></g>
<g id="xLabel">
<text x="272.8" y="376.7" text-anchor="middle" font-size="14" font-family="Verdana">k</text></g>
<g id="plotLines" stroke-width="2"><g clip-path="url(#plot_window)" stroke="rgb(0,0,139)" stroke-width="1"><path d="M92.6,318.7 L94.37,325.7 L96.13,331.4 L97.9,335.8 L99.67,338.9 L101.4,340.6 L103.2,341 L105,339.9 L106.7,337.5 L108.5,333.8 L110.3,328.7 L112,322.4 L113.8,314.8 L115.6,306.2 L117.3,296.5 L119.1,285.8 L120.9,274.3 L122.6,262.1 L124.4,249.3 L126.2,236.1 L127.9,222.5 L129.7,208.7 L131.5,194.8 L133.2,181 L135,167.4 L136.8,154.2 L138.5,141.4 L140.3,129.3 L142.1,117.9 L143.8,107.3 L145.6,97.69 L147.4,89.12 L149.1,81.67 L150.9,75.43 L152.7,70.45 L154.4,66.8 L156.2,64.49 L158,63.57 L159.7,64.03 L161.5,65.87 L163.3,69.07 L165,73.61 L166.8,79.43 L168.6,86.48 L170.3,94.69 L172.1,104 L173.9,114.2 L175.6,125.4 L177.4,137.3 L179.2,149.8 L180.9,162.9 L182.7,176.4 L184.5,190.1 L186.2,204 L188,217.8 L189.8,231.5 L191.5,244.9 L193.3,257.9 L195.1,270.3 L196.8,282 L198.6,293 L200.4,303 L202.1,312 L203.9,320 L205.7,326.7 L207.4,332.2 L209.2,336.4 L211,339.3 L212.7,340.8 L214.5,340.9 L216.3,339.6 L218,337 L219.8,333 L221.6,327.7 L223.3,321.2 L225.1,313.4 L226.9,304.6 L228.6,294.7 L230.4,283.9 L232.2,272.3 L233.9,260 L235.7,247.1 L237.5,233.8 L239.2,220.2 L241,206.3 L242.7,192.5 L244.5,178.7 L246.3,165.2 L248,152 L249.8,139.4 L251.6,127.3 L253.3,116 L255.1,105.6 L256.9,96.17 L258.6,87.78 L260.4,80.53 L262.2,74.5 L263.9,69.75 L265.7,66.31 L267.5,64.24 L269.2,63.55 L271,64.24 L272.8,66.31 L274.5,69.75 L276.3,74.5 L278.1,80.53 L279.8,87.78 L281.6,96.17 L283.4,105.6 L285.1,116 L286.9,127.3 L288.7,139.4 L290.4,152 L292.2,165.2 L294,178.7 L295.7,192.5 L297.5,206.3 L299.3,220.2 L301,233.8 L302.8,247.1 L304.6,260 L306.3,272.3 L308.1,283.9 L309.9,294.7 L311.6,304.6 L313.4,313.4 L315.2,321.2 L316.9,327.7 L318.7,333 L320.5,337 L322.2,339.6 L324,340.9 L325.8,340.8 L327.5,339.3 L329.3,336.4 L331.1,332.2 L332.8,326.7 L334.6,320 L336.4,312 L338.1,303 L339.9,293 L341.7,282 L343.4,270.3 L345.2,257.9 L347,244.9 L348.7,231.5 L350.5,217.8 L352.3,204 L354,190.1 L355.8,176.4 L357.6,162.9 L359.3,149.8 L361.1,137.3 L362.9,125.4 L364.6,114.2 L366.4,104 L368.2,94.69 L369.9,86.48 L371.7,79.43 L373.5,73.61 L375.2,69.07 L377,65.87 L378.8,64.03 L380.5,63.57 L382.3,64.49 L384.1,66.8 L385.8,70.45 L387.6,75.43 L389.4,81.67 L391.1,89.12 L392.9,97.69 L394.7,107.3 L396.4,117.9 L398.2,129.3 L400,141.4 L401.7,154.2 L403.5,167.4 L405.3,181 L407,194.8 L408.8,208.7 L410.6,222.5 L412.3,236.1 L414.1,249.3 L415.9,262.1 L417.6,274.3 L419.4,285.8 L421.2,296.5 L422.9,306.2 L424.7,314.8 L426.5,322.4 L428.2,328.7 L430,333.8 L431.8,337.5 L433.5,339.9 L435.3,341 L437.1,340.6 L438.8,338.9 L440.6,335.8 L442.4,331.4 L444.1,325.7 L445.9,318.7 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(139,0,0)" stroke-width="1"><path d="M92.6,340.1 L94.37,337.9 L96.13,334.3 L97.9,329.4 L99.67,323.4 L101.4,316.4 L103.2,308.3 L105,299.5 L106.7,289.9 L108.5,279.7 L110.3,268.9 L112,257.8 L113.8,246.4 L115.6,234.7 L117.3,222.8 L119.1,210.8 L120.9,198.8 L122.6,186.8 L124.4,174.9 L126.2,163.2 L127.9,151.6 L129.7,140.3 L131.5,129.4 L133.2,119 L135,109.1 L136.8,99.92 L138.5,91.52 L140.3,84.03 L142.1,77.55 L143.8,72.21 L145.6,68.08 L147.4,65.25 L149.1,63.77 L150.9,63.68 L152.7,64.96 L154.4,67.61 L156.2,71.55 L158,76.74 L159.7,83.06 L161.5,90.42 L163.3,98.7 L165,107.8 L166.8,117.6 L168.6,127.9 L170.3,138.8 L172.1,150 L173.9,161.5 L175.6,173.3 L177.4,185.2 L179.2,197.2 L180.9,209.2 L182.7,221.1 L184.5,233 L186.2,244.7 L188,256.2 L189.8,267.4 L191.5,278.2 L193.3,288.5 L195.1,298.2 L196.8,307.1 L198.6,315.3 L200.4,322.5 L202.1,328.7 L203.9,333.7 L205.7,337.4 L207.4,339.9 L209.2,341 L211,340.7 L212.7,339 L214.5,336 L216.3,331.7 L218,326.2 L219.8,319.5 L221.6,311.9 L223.3,303.4 L225.1,294.1 L226.9,284.1 L228.6,273.6 L230.4,262.6 L232.2,251.3 L233.9,239.7 L235.7,227.9 L237.5,216 L239.2,204 L241,192 L242.7,180 L244.5,168.2 L246.3,156.5 L248,145.1 L249.8,134.1 L251.6,123.4 L253.3,113.3 L255.1,103.8 L256.9,95.03 L258.6,87.13 L260.4,80.21 L262.2,74.36 L263.9,69.7 L265.7,66.31 L267.5,64.24 L269.2,63.55 L271,64.24 L272.8,66.31 L274.5,69.7 L276.3,74.36 L278.1,80.21 L279.8,87.13 L281.6,95.03 L283.4,103.8 L285.1,113.3 L286.9,123.4 L288.7,134.1 L290.4,145.1 L292.2,156.5 L294,168.2 L295.7,180 L297.5,192 L299.3,204 L301,216 L302.8,227.9 L304.6,239.7 L306.3,251.3 L308.1,262.6 L309.9,273.6 L311.6,284.1 L313.4,294.1 L315.2,303.4 L316.9,311.9 L318.7,319.5 L320.5,326.2 L322.2,331.7 L324,336 L325.8,339 L327.5,340.7 L329.3,341 L331.1,339.9 L332.8,337.4 L334.6,333.7 L336.4,328.7 L338.1,322.5 L339.9,315.3 L341.7,307.1 L343.4,298.2 L345.2,288.5 L347,278.2 L348.7,267.4 L350.5,256.2 L352.3,244.7 L354,233 L355.8,221.1 L357.6,209.2 L359.3,197.2 L361.1,185.2 L362.9,173.3 L364.6,161.5 L366.4,150 L368.2,138.8 L369.9,127.9 L371.7,117.6 L373.5,107.8 L375.2,98.7 L377,90.42 L378.8,83.06 L380.5,76.74 L382.3,71.55 L384.1,67.61 L385.8,64.96 L387.6,63.68 L389.4,63.77 L391.1,65.25 L392.9,68.08 L394.7,72.21 L396.4,77.55 L398.2,84.03 L400,91.52 L401.7,99.92 L403.5,109.1 L405.3,119 L407,129.4 L408.8,140.3 L410.6,151.6 L412.3,163.2 L414.1,174.9 L415.9,186.8 L417.6,198.8 L419.4,210.8 L421.2,222.8 L422.9,234.7 L424.7,246.4 L426.5,257.8 L428.2,268.9 L430,279.7 L431.8,289.9 L433.5,299.5 L435.3,308.3 L437.1,316.4 L438.8,323.4 L440.6,329.4 L442.4,334.3 L444.1,337.9 L445.9,340.1 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(0,100,0)" stroke-width="1"><path d="M92.6,243.3 L94.37,234 L96.13,224.8 L97.9,215.6 L99.67,206.4 L101.4,197.2 L103.2,188.1 L105,178.9 L106.7,169.6 L108.5,160.4 L110.3,151.2 L112,141.9 L113.8,132.7 L115.6,123.7 L117.3,114.8 L119.1,106.2 L120.9,98.01 L122.6,90.34 L124.4,83.36 L126.2,77.21 L127.9,72.05 L129.7,68.02 L131.5,65.23 L133.2,63.77 L135,63.68 L136.8,64.98 L138.5,67.61 L140.3,71.5 L142.1,76.53 L143.8,82.57 L145.6,89.46 L147.4,97.05 L149.1,105.2 L150.9,113.7 L152.7,122.6 L154.4,131.6 L156.2,140.8 L158,150 L159.7,159.3 L161.5,168.5 L163.3,177.8 L165,187 L166.8,196.1 L168.6,205.3 L170.3,214.5 L172.1,223.7 L173.9,232.9 L175.6,242.1 L177.4,251.4 L179.2,260.6 L180.9,269.8 L182.7,278.9 L184.5,287.8 L186.2,296.5 L188,304.8 L189.8,312.6 L191.5,319.7 L193.3,326.1 L195.1,331.5 L196.8,335.8 L198.6,338.8 L200.4,340.6 L202.1,341 L203.9,340 L205.7,337.7 L207.4,334 L209.2,329.2 L211,323.4 L212.7,316.7 L214.5,309.2 L216.3,301.2 L218,292.7 L219.8,284 L221.6,274.9 L223.3,265.8 L225.1,256.6 L226.9,247.3 L228.6,238.1 L230.4,228.9 L232.2,219.6 L233.9,210.5 L235.7,201.3 L237.5,192.1 L239.2,182.9 L241,173.7 L242.7,164.5 L244.5,155.2 L246.3,146 L248,136.8 L249.8,127.6 L251.6,118.7 L253.3,109.9 L255.1,101.6 L256.9,93.64 L258.6,86.34 L260.4,79.8 L262.2,74.19 L263.9,69.64 L265.7,66.29 L267.5,64.24 L269.2,63.55 L271,64.24 L272.8,66.29 L274.5,69.64 L276.3,74.19 L278.1,79.8 L279.8,86.34 L281.6,93.64 L283.4,101.6 L285.1,109.9 L286.9,118.7 L288.7,127.6 L290.4,136.8 L292.2,146 L294,155.2 L295.7,164.5 L297.5,173.7 L299.3,182.9 L301,192.1 L302.8,201.3 L304.6,210.5 L306.3,219.6 L308.1,228.9 L309.9,238.1 L311.6,247.3 L313.4,256.6 L315.2,265.8 L316.9,274.9 L318.7,284 L320.5,292.7 L322.2,301.2 L324,309.2 L325.8,316.7 L327.5,323.4 L329.3,329.2 L331.1,334 L332.8,337.7 L334.6,340 L336.4,341 L338.1,340.6 L339.9,338.8 L341.7,335.8 L343.4,331.5 L345.2,326.1 L347,319.7 L348.7,312.6 L350.5,304.8 L352.3,296.5 L354,287.8 L355.8,278.9 L357.6,269.8 L359.3,260.6 L361.1,251.4 L362.9,242.1 L364.6,232.9 L366.4,223.7 L368.2,214.5 L369.9,205.3 L371.7,196.1 L373.5,187 L375.2,177.8 L377,168.5 L378.8,159.3 L380.5,150 L382.3,140.8 L384.1,131.6 L385.8,122.6 L387.6,113.7 L389.4,105.2 L391.1,97.05 L392.9,89.46 L394.7,82.57 L396.4,76.53 L398.2,71.5 L400,67.61 L401.7,64.98 L403.5,63.68 L405.3,63.77 L407,65.23 L408.8,68.02 L410.6,72.05 L412.3,77.21 L414.1,83.36 L415.9,90.34 L417.6,98.01 L419.4,106.2 L421.2,114.8 L422.9,123.7 L424.7,132.7 L426.5,141.9 L428.2,151.2 L430,160.4 L431.8,169.6 L433.5,178.9 L435.3,188.1 L437.1,197.2 L438.8,206.4 L440.6,215.6 L442.4,224.8 L444.1,234 L445.9,243.3 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(255,140,0)" stroke-width="1"><path d="M92.6,72.12 L94.37,77.13 L96.13,82.97 L97.9,89.45 L99.67,96.36 L101.4,103.5 L103.2,110.8 L105,118.1 L106.7,125.3 L108.5,132.2 L110.3,139 L112,145.4 L113.8,151.6 L115.6,157.5 L117.3,163.1 L119.1,168.4 L120.9,173.6 L122.6,178.5 L124.4,183.2 L126.2,187.8 L127.9,192.3 L129.7,196.6 L131.5,201 L133.2,205.3 L135,209.7 L136.8,214.1 L138.5,218.6 L140.3,223.3 L142.1,228 L143.8,233 L145.6,238.2 L147.4,243.7 L149.1,249.4 L150.9,255.4 L152.7,261.7 L154.4,268.3 L156.2,275.1 L158,282.2 L159.7,289.4 L161.5,296.7 L163.3,303.9 L165,311 L166.8,317.8 L168.6,324 L170.3,329.6 L172.1,334.2 L173.9,337.7 L175.6,340 L177.4,341 L179.2,340.6 L180.9,338.8 L182.7,335.7 L184.5,331.5 L186.2,326.3 L188,320.4 L189.8,313.8 L191.5,306.8 L193.3,299.6 L195.1,292.3 L196.8,285 L198.6,277.9 L200.4,271 L202.1,264.3 L203.9,257.9 L205.7,251.8 L207.4,246 L209.2,240.4 L211,235.1 L212.7,230 L214.5,225.1 L216.3,220.4 L218,215.9 L219.8,211.4 L221.6,207.1 L223.3,202.7 L225.1,198.4 L226.9,194 L228.6,189.6 L230.4,185 L232.2,180.4 L233.9,175.5 L235.7,170.5 L237.5,165.3 L239.2,159.8 L241,154 L242.7,147.9 L244.5,141.6 L246.3,134.9 L248,128.1 L249.8,121 L251.6,113.7 L253.3,106.4 L255.1,99.21 L256.9,92.17 L258.6,85.49 L260.4,79.37 L262.2,74.01 L263.9,69.58 L265.7,66.28 L267.5,64.24 L269.2,63.55 L271,64.24 L272.8,66.28 L274.5,69.58 L276.3,74.01 L278.1,79.37 L279.8,85.49 L281.6,92.17 L283.4,99.21 L285.1,106.4 L286.9,113.7 L288.7,121 L290.4,128.1 L292.2,134.9 L294,141.6 L295.7,147.9 L297.5,154 L299.3,159.8 L301,165.3 L302.8,170.5 L304.6,175.5 L306.3,180.4 L308.1,185 L309.9,189.6 L311.6,194 L313.4,198.4 L315.2,202.7 L316.9,207.1 L318.7,211.4 L320.5,215.9 L322.2,220.4 L324,225.1 L325.8,230 L327.5,235.1 L329.3,240.4 L331.1,246 L332.8,251.8 L334.6,257.9 L336.4,264.3 L338.1,271 L339.9,277.9 L341.7,285 L343.4,292.3 L345.2,299.6 L347,306.8 L348.7,313.8 L350.5,320.4 L352.3,326.3 L354,331.5 L355.8,335.7 L357.6,338.8 L359.3,340.6 L361.1,341 L362.9,340 L364.6,337.7 L366.4,334.2 L368.2,329.6 L369.9,324 L371.7,317.8 L373.5,311 L375.2,303.9 L377,296.7 L378.8,289.4 L380.5,282.2 L382.3,275.1 L384.1,268.3 L385.8,261.7 L387.6,255.4 L389.4,249.4 L391.1,243.7 L392.9,238.2 L394.7,233 L396.4,228 L398.2,223.3 L400,218.6 L401.7,214.1 L403.5,209.7 L405.3,205.3 L407,201 L408.8,196.6 L410.6,192.3 L412.3,187.8 L414.1,183.2 L415.9,178.5 L417.6,173.6 L419.4,168.4 L421.2,163.1 L422.9,157.5 L424.7,151.6 L426.5,145.4 L428.2,139 L430,132.2 L431.8,125.3 L433.5,118.1 L435.3,110.8 L437.1,103.5 L438.8,96.36 L440.6,89.45 L442.4,82.97 L444.1,77.13 L445.9,72.12 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(127,255,0)" stroke-width="1"><path d="M92.6,202.3 L94.37,202.3 L96.13,202.3 L97.9,202.3 L99.67,202.3 L101.4,202.3 L103.2,202.3 L105,202.3 L106.7,202.3 L108.5,202.3 L110.3,202.3 L112,202.3 L113.8,202.2 L115.6,202.2 L117.3,202.2 L119.1,202.2 L120.9,202.2 L122.6,202.2 L124.4,202.2 L126.2,202.2 L127.9,202.2 L129.7,202.2 L131.5,202.2 L133.2,202.2 L135,202.1 L136.8,202.1 L138.5,202.1 L140.3,202.1 L142.1,202.1 L143.8,202.1 L145.6,202 L147.4,202 L149.1,202 L150.9,201.9 L152.7,201.9 L154.4,201.9 L156.2,201.8 L158,201.8 L159.7,201.7 L161.5,201.7 L163.3,201.6 L165,201.5 L166.8,201.4 L168.6,201.4 L170.3,201.3 L172.1,201.2 L173.9,201 L175.6,200.9 L177.4,200.8 L179.2,200.6 L180.9,200.4 L182.7,200.2 L184.5,200 L186.2,199.8 L188,199.5 L189.8,199.2 L191.5,198.9 L193.3,198.5 L195.1,198.1 L196.8,197.7 L198.6,197.2 L200.4,196.7 L202.1,196.1 L203.9,195.4 L205.7,194.7 L207.4,193.9 L209.2,193 L211,192.1 L212.7,191 L214.5,189.8 L216.3,188.5 L218,187.1 L219.8,185.5 L221.6,183.7 L223.3,181.8 L225.1,179.7 L226.9,177.3 L228.6,174.7 L230.4,171.9 L232.2,168.8 L233.9,165.4 L235.7,161.7 L237.5,157.6 L239.2,153.2 L241,148.5 L242.7,143.3 L244.5,137.8 L246.3,131.9 L248,125.7 L249.8,119.1 L251.6,112.4 L253.3,105.5 L255.1,98.55 L256.9,91.75 L258.6,85.25 L260.4,79.25 L262.2,73.95 L263.9,69.57 L265.7,66.28 L267.5,64.24 L269.2,63.55 L271,64.24 L272.8,66.28 L274.5,69.57 L276.3,73.95 L278.1,79.25 L279.8,85.25 L281.6,91.75 L283.4,98.55 L285.1,105.5 L286.9,112.4 L288.7,119.1 L290.4,125.7 L292.2,131.9 L294,137.8 L295.7,143.3 L297.5,148.5 L299.3,153.2 L301,157.6 L302.8,161.7 L304.6,165.4 L306.3,168.8 L308.1,171.9 L309.9,174.7 L311.6,177.3 L313.4,179.7 L315.2,181.8 L316.9,183.7 L318.7,185.5 L320.5,187.1 L322.2,188.5 L324,189.8 L325.8,191 L327.5,192.1 L329.3,193 L331.1,193.9 L332.8,194.7 L334.6,195.4 L336.4,196.1 L338.1,196.7 L339.9,197.2 L341.7,197.7 L343.4,198.1 L345.2,198.5 L347,198.9 L348.7,199.2 L350.5,199.5 L352.3,199.8 L354,200 L355.8,200.2 L357.6,200.4 L359.3,200.6 L361.1,200.8 L362.9,200.9 L364.6,201 L366.4,201.2 L368.2,201.3 L369.9,201.4 L371.7,201.4 L373.5,201.5 L375.2,201.6 L377,201.7 L378.8,201.7 L380.5,201.8 L382.3,201.8 L384.1,201.9 L385.8,201.9 L387.6,201.9 L389.4,202 L391.1,202 L392.9,202 L394.7,202.1 L396.4,202.1 L398.2,202.1 L400,202.1 L401.7,202.1 L403.5,202.1 L405.3,202.2 L407,202.2 L408.8,202.2 L410.6,202.2 L412.3,202.2 L414.1,202.2 L415.9,202.2 L417.6,202.2 L419.4,202.2 L421.2,202.2 L422.9,202.2 L424.7,202.2 L426.5,202.3 L428.2,202.3 L430,202.3 L431.8,202.3 L433.5,202.3 L435.3,202.3 L437.1,202.3 L438.8,202.3 L440.6,202.3 L442.4,202.3 L444.1,202.3 L445.9,202.3 " fill="none"/></g>
</g>
<g id="plotPoints" clip-path="url(#plot_window)"></g>
<g id="legendBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="1"><rect x="467" y="58" width="107" height="154"/><rect x="467" y="58" width="107" height="154"/></g>
<g id="legendPoints"><g stroke="rgb(0,0,139)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="86" x2="495" y2="86"/></g>
<g stroke="rgb(139,0,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="114" x2="495" y2="114"/></g>
<g stroke="rgb(0,100,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="142" x2="495" y2="142"/></g>
<g stroke="rgb(255,140,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="170" x2="495" y2="170"/></g>
<g stroke="rgb(127,255,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="198" x2="495" y2="198"/></g>
</g>
<g id="legendText">
<text x="502" y="86" font-size="14" font-family="Verdana">k=0</text>
<text x="502" y="114" font-size="14" font-family="Verdana">k=0.5</text>
<text x="502" y="142" font-size="14" font-family="Verdana">k=0.75</text>
<text x="502" y="170" font-size="14" font-family="Verdana">k=0.95</text>
<text x="502" y="198" font-size="14" font-family="Verdana">k=1</text></g>
<g id="title">
<text x="300" y="40" text-anchor="middle" font-size="20" font-family="Verdana">Jacobi Elliptic cn</text></g>
<g id="plotXValues"></g>
<g id="plotYValues"></g>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 19 KiB

BIN
doc/sf_and_dist/graphs/jacobi_cs.png Normal file
View File

Binary file not shown.
Side by Side

After

Width:  |  Height:  |  Size: 31 KiB

76
doc/sf_and_dist/graphs/jacobi_cs.svg Normal file
View File

@@ -0,0 +1,76 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<svg width="600" height ="400" version="1.1"
xmlns:svg ="http://www.w3.org/2000/svg"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cc="http://web.resource.org/cc/"
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns ="http://www.w3.org/2000/svg"
>
<!-- SVG plot written using Boost.Plot program (Creator Jacob Voytko) -->
<!-- Use, modification and distribution of Boost.Plot subject to the -->
<!-- Boost Software License, Version 1.0.-->
<!-- (See accompanying file LICENSE_1_0.txt -->
<!-- or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<!-- SVG Plot Copyright John Maddock 2008 -->
<meta name="copyright" content="John Maddock" />
<meta name="date" content="2008" />
<!-- Use, modification and distribution of this Scalable Vector Graphic file -->
<!-- are subject to the Boost Software License, Version 1.0. -->
<!-- (See accompanying file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<clipPath id="plot_window"><rect x="76.8" y="59" width="375.2" height="281"/></clipPath>
<g id="imageBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="0" y="0" width="600" height="400"/></g>
<g id="plotBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="75.8" y="58" width="377.2" height="283"/></g>
<g id="yMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="yMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="xMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="xMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="yAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="75.8" y1="58" x2="75.8" y2="341"/></g>
<g id="xAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="70.8" y1="226.5" x2="453" y2="226.5"/><line x1="70.8" y1="341" x2="453" y2="341"/></g>
<g id="yMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M73.8,206.1 L75.8,206.1 M73.8,185.7 L75.8,185.7 M73.8,165.3 L75.8,165.3 M73.8,124.5 L75.8,124.5 M73.8,104.1 L75.8,104.1 M73.8,83.68 L75.8,83.68 M73.8,226.5 L75.8,226.5 M73.8,246.9 L75.8,246.9 M73.8,267.3 L75.8,267.3 M73.8,287.7 L75.8,287.7 M73.8,308.1 L75.8,308.1 M73.8,328.5 L75.8,328.5 " fill="none"/></g>
<g id="xMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M78.99,341 L78.99,343 M94.93,341 L94.93,343 M110.9,341 L110.9,343 M142.7,341 L142.7,343 M158.7,341 L158.7,343 M174.6,341 L174.6,343 M206.5,341 L206.5,343 M222.4,341 L222.4,343 M238.4,341 L238.4,343 M270.2,341 L270.2,343 M286.2,341 L286.2,343 M302.1,341 L302.1,343 M334,341 L334,343 M349.9,341 L349.9,343 M365.9,341 L365.9,343 M397.8,341 L397.8,343 M413.7,341 L413.7,343 M429.6,341 L429.6,343 " fill="none"/></g>
<g id="yMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M70.8,226.5 L75.8,226.5 M70.8,144.9 L75.8,144.9 M70.8,63.28 L75.8,63.28 M70.8,226.5 L75.8,226.5 M70.8,308.1 L75.8,308.1 " fill="none"/></g>
<g id="xMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M126.8,341 L126.8,346 M190.6,341 L190.6,346 M254.3,341 L254.3,346 M318.1,341 L318.1,346 M381.8,341 L381.8,346 M445.6,341 L445.6,346 " fill="none"/></g>
<g id="xTicksValues">
<text x="126.8" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">0.5</text>
<text x="190.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">1</text>
<text x="254.3" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">1.5</text>
<text x="318.1" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">2</text>
<text x="381.8" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">2.5</text>
<text x="445.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">3</text></g>
<g id="yTicksValues">
<text x="64.8" y="228.9" text-anchor="end" font-size="12" font-family="Verdana">0</text>
<text x="64.8" y="147.3" text-anchor="end" font-size="12" font-family="Verdana">5</text>
<text x="64.8" y="65.68" text-anchor="end" font-size="12" font-family="Verdana">10</text>
<text x="64.8" y="228.9" text-anchor="end" font-size="12" font-family="Verdana">0</text>
<text x="64.8" y="310.5" text-anchor="end" font-size="12" font-family="Verdana">-5</text></g>
<g id="yLabel">
<text x="42.9" y="199.5" text-anchor="middle" transform = "rotate(-90 42.9 199.5 )" font-size="14" font-family="Verdana">jacobi_cs(k, u)</text></g>
<g id="xLabel">
<text x="264.4" y="376.7" text-anchor="middle" font-size="14" font-family="Verdana">k</text></g>
<g id="plotLines" stroke-width="2"><g clip-path="url(#plot_window)" stroke="rgb(0,0,139)" stroke-width="1"><path d="M75.8,63.82 L77.65,84.57 L79.5,100.7 L81.35,113.5 L83.2,124.1 L85.04,132.8 L86.89,140.2 L88.74,146.6 L90.59,152.1 L92.44,156.9 L94.29,161.2 L96.14,165 L97.99,168.4 L99.83,171.5 L101.7,174.3 L103.5,176.8 L105.4,179.2 L107.2,181.3 L109.1,183.3 L110.9,185.1 L112.8,186.8 L114.6,188.4 L116.5,189.8 L118.3,191.2 L120.2,192.5 L122,193.8 L123.9,194.9 L125.7,196 L127.6,197 L129.4,198 L131.3,199 L133.1,199.8 L135,200.7 L136.8,201.5 L138.7,202.3 L140.5,203 L142.4,203.7 L144.2,204.4 L146.1,205.1 L147.9,205.7 L149.8,206.3 L151.6,206.9 L153.5,207.5 L155.3,208 L157.1,208.5 L159,209.1 L160.8,209.6 L162.7,210 L164.5,210.5 L166.4,211 L168.2,211.4 L170.1,211.9 L171.9,212.3 L173.8,212.7 L175.6,213.1 L177.5,213.5 L179.3,213.9 L181.2,214.2 L183,214.6 L184.9,215 L186.7,215.3 L188.6,215.7 L190.4,216 L192.3,216.3 L194.1,216.7 L196,217 L197.8,217.3 L199.7,217.6 L201.5,217.9 L203.4,218.2 L205.2,218.5 L207.1,218.8 L208.9,219.1 L210.8,219.4 L212.6,219.6 L214.5,219.9 L216.3,220.2 L218.2,220.5 L220,220.7 L221.9,221 L223.7,221.3 L225.6,221.5 L227.4,221.8 L229.3,222 L231.1,222.3 L232.9,222.5 L234.8,222.8 L236.6,223 L238.5,223.3 L240.3,223.5 L242.2,223.8 L244,224 L245.9,224.3 L247.7,224.5 L249.6,224.7 L251.4,225 L253.3,225.2 L255.1,225.4 L257,225.7 L258.8,225.9 L260.7,226.2 L262.5,226.4 L264.4,226.6 L266.2,226.9 L268.1,227.1 L269.9,227.3 L271.8,227.6 L273.6,227.8 L275.5,228.1 L277.3,228.3 L279.2,228.5 L281,228.8 L282.9,229 L284.7,229.3 L286.6,229.5 L288.4,229.7 L290.3,230 L292.1,230.2 L294,230.5 L295.8,230.7 L297.7,231 L299.5,231.3 L301.4,231.5 L303.2,231.8 L305.1,232 L306.9,232.3 L308.8,232.6 L310.6,232.8 L312.4,233.1 L314.3,233.4 L316.1,233.7 L318,234 L319.8,234.2 L321.7,234.5 L323.5,234.8 L325.4,235.1 L327.2,235.4 L329.1,235.7 L330.9,236.1 L332.8,236.4 L334.6,236.7 L336.5,237 L338.3,237.4 L340.2,237.7 L342,238.1 L343.9,238.4 L345.7,238.8 L347.6,239.2 L349.4,239.6 L351.3,240 L353.1,240.4 L355,240.8 L356.8,241.2 L358.7,241.6 L360.5,242.1 L362.4,242.5 L364.2,243 L366.1,243.5 L367.9,244 L369.8,244.5 L371.6,245 L373.5,245.6 L375.3,246.2 L377.2,246.8 L379,247.4 L380.9,248 L382.7,248.7 L384.6,249.4 L386.4,250.1 L388.3,250.8 L390.1,251.6 L391.9,252.4 L393.8,253.3 L395.6,254.2 L397.5,255.1 L399.3,256.1 L401.2,257.1 L403,258.2 L404.9,259.4 L406.7,260.6 L408.6,261.9 L410.4,263.3 L412.3,264.8 L414.1,266.4 L416,268.1 L417.8,270 L419.7,272 L421.5,274.1 L423.4,276.5 L425.2,279.1 L427.1,281.9 L428.9,285 L430.8,288.5 L432.6,292.3 L434.5,296.7 L436.3,301.6 L438.2,307.2 L440,313.7 L441.9,321.2 L443.7,330.2 L445.6,341 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(139,0,0)" stroke-width="1"><path d="M75.8,63.75 L77.65,84.49 L79.5,100.6 L81.35,113.4 L83.2,123.9 L85.04,132.7 L86.89,140.1 L88.74,146.5 L90.59,152 L92.44,156.8 L94.29,161 L96.14,164.8 L97.99,168.2 L99.83,171.3 L101.7,174.1 L103.5,176.6 L105.4,178.9 L107.2,181.1 L109.1,183 L110.9,184.8 L112.8,186.5 L114.6,188.1 L116.5,189.6 L118.3,190.9 L120.2,192.2 L122,193.4 L123.9,194.6 L125.7,195.7 L127.6,196.7 L129.4,197.7 L131.3,198.6 L133.1,199.5 L135,200.3 L136.8,201.1 L138.7,201.9 L140.5,202.6 L142.4,203.3 L144.2,204 L146.1,204.6 L147.9,205.2 L149.8,205.8 L151.6,206.4 L153.5,206.9 L155.3,207.5 L157.1,208 L159,208.5 L160.8,209 L162.7,209.5 L164.5,209.9 L166.4,210.4 L168.2,210.8 L170.1,211.2 L171.9,211.6 L173.8,212 L175.6,212.4 L177.5,212.8 L179.3,213.2 L181.2,213.5 L183,213.9 L184.9,214.2 L186.7,214.5 L188.6,214.9 L190.4,215.2 L192.3,215.5 L194.1,215.8 L196,216.1 L197.8,216.4 L199.7,216.7 L201.5,217 L203.4,217.3 L205.2,217.6 L207.1,217.8 L208.9,218.1 L210.8,218.4 L212.6,218.6 L214.5,218.9 L216.3,219.2 L218.2,219.4 L220,219.7 L221.9,219.9 L223.7,220.1 L225.6,220.4 L227.4,220.6 L229.3,220.9 L231.1,221.1 L232.9,221.3 L234.8,221.5 L236.6,221.8 L238.5,222 L240.3,222.2 L242.2,222.4 L244,222.7 L245.9,222.9 L247.7,223.1 L249.6,223.3 L251.4,223.5 L253.3,223.7 L255.1,223.9 L257,224.1 L258.8,224.4 L260.7,224.6 L262.5,224.8 L264.4,225 L266.2,225.2 L268.1,225.4 L269.9,225.6 L271.8,225.8 L273.6,226 L275.5,226.2 L277.3,226.4 L279.2,226.6 L281,226.8 L282.9,227 L284.7,227.2 L286.6,227.4 L288.4,227.7 L290.3,227.9 L292.1,228.1 L294,228.3 L295.8,228.5 L297.7,228.7 L299.5,228.9 L301.4,229.1 L303.2,229.3 L305.1,229.5 L306.9,229.8 L308.8,230 L310.6,230.2 L312.4,230.4 L314.3,230.6 L316.1,230.8 L318,231.1 L319.8,231.3 L321.7,231.5 L323.5,231.7 L325.4,232 L327.2,232.2 L329.1,232.4 L330.9,232.7 L332.8,232.9 L334.6,233.2 L336.5,233.4 L338.3,233.7 L340.2,233.9 L342,234.2 L343.9,234.4 L345.7,234.7 L347.6,235 L349.4,235.2 L351.3,235.5 L353.1,235.8 L355,236.1 L356.8,236.4 L358.7,236.7 L360.5,237 L362.4,237.3 L364.2,237.6 L366.1,237.9 L367.9,238.2 L369.8,238.5 L371.6,238.9 L373.5,239.2 L375.3,239.6 L377.2,239.9 L379,240.3 L380.9,240.7 L382.7,241.1 L384.6,241.5 L386.4,241.9 L388.3,242.3 L390.1,242.8 L391.9,243.2 L393.8,243.7 L395.6,244.1 L397.5,244.6 L399.3,245.1 L401.2,245.7 L403,246.2 L404.9,246.8 L406.7,247.3 L408.6,247.9 L410.4,248.6 L412.3,249.2 L414.1,249.9 L416,250.6 L417.8,251.4 L419.7,252.1 L421.5,252.9 L423.4,253.8 L425.2,254.7 L427.1,255.6 L428.9,256.6 L430.8,257.6 L432.6,258.7 L434.5,259.9 L436.3,261.1 L438.2,262.4 L440,263.8 L441.9,265.3 L443.7,266.9 L445.6,268.7 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(0,100,0)" stroke-width="1"><path d="M75.8,63.67 L77.65,84.39 L79.5,100.5 L81.35,113.3 L83.2,123.8 L85.04,132.6 L86.89,139.9 L88.74,146.3 L90.59,151.8 L92.44,156.6 L94.29,160.8 L96.14,164.6 L97.99,168 L99.83,171.1 L101.7,173.8 L103.5,176.3 L105.4,178.6 L107.2,180.7 L109.1,182.7 L110.9,184.5 L112.8,186.2 L114.6,187.7 L116.5,189.2 L118.3,190.5 L120.2,191.8 L122,193 L123.9,194.2 L125.7,195.2 L127.6,196.2 L129.4,197.2 L131.3,198.1 L133.1,199 L135,199.8 L136.8,200.6 L138.7,201.3 L140.5,202 L142.4,202.7 L144.2,203.4 L146.1,204 L147.9,204.6 L149.8,205.2 L151.6,205.7 L153.5,206.3 L155.3,206.8 L157.1,207.3 L159,207.8 L160.8,208.2 L162.7,208.7 L164.5,209.1 L166.4,209.6 L168.2,210 L170.1,210.4 L171.9,210.8 L173.8,211.2 L175.6,211.5 L177.5,211.9 L179.3,212.2 L181.2,212.6 L183,212.9 L184.9,213.2 L186.7,213.5 L188.6,213.8 L190.4,214.1 L192.3,214.4 L194.1,214.7 L196,215 L197.8,215.3 L199.7,215.6 L201.5,215.8 L203.4,216.1 L205.2,216.3 L207.1,216.6 L208.9,216.8 L210.8,217.1 L212.6,217.3 L214.5,217.6 L216.3,217.8 L218.2,218 L220,218.2 L221.9,218.5 L223.7,218.7 L225.6,218.9 L227.4,219.1 L229.3,219.3 L231.1,219.5 L232.9,219.7 L234.8,219.9 L236.6,220.1 L238.5,220.3 L240.3,220.5 L242.2,220.7 L244,220.9 L245.9,221 L247.7,221.2 L249.6,221.4 L251.4,221.6 L253.3,221.8 L255.1,222 L257,222.1 L258.8,222.3 L260.7,222.5 L262.5,222.6 L264.4,222.8 L266.2,223 L268.1,223.2 L269.9,223.3 L271.8,223.5 L273.6,223.6 L275.5,223.8 L277.3,224 L279.2,224.1 L281,224.3 L282.9,224.5 L284.7,224.6 L286.6,224.8 L288.4,224.9 L290.3,225.1 L292.1,225.3 L294,225.4 L295.8,225.6 L297.7,225.7 L299.5,225.9 L301.4,226 L303.2,226.2 L305.1,226.4 L306.9,226.5 L308.8,226.7 L310.6,226.8 L312.4,227 L314.3,227.1 L316.1,227.3 L318,227.5 L319.8,227.6 L321.7,227.8 L323.5,227.9 L325.4,228.1 L327.2,228.2 L329.1,228.4 L330.9,228.6 L332.8,228.7 L334.6,228.9 L336.5,229.1 L338.3,229.2 L340.2,229.4 L342,229.5 L343.9,229.7 L345.7,229.9 L347.6,230 L349.4,230.2 L351.3,230.4 L353.1,230.6 L355,230.7 L356.8,230.9 L358.7,231.1 L360.5,231.3 L362.4,231.4 L364.2,231.6 L366.1,231.8 L367.9,232 L369.8,232.2 L371.6,232.4 L373.5,232.5 L375.3,232.7 L377.2,232.9 L379,233.1 L380.9,233.3 L382.7,233.5 L384.6,233.7 L386.4,233.9 L388.3,234.2 L390.1,234.4 L391.9,234.6 L393.8,234.8 L395.6,235 L397.5,235.3 L399.3,235.5 L401.2,235.7 L403,236 L404.9,236.2 L406.7,236.5 L408.6,236.7 L410.4,237 L412.3,237.2 L414.1,237.5 L416,237.8 L417.8,238 L419.7,238.3 L421.5,238.6 L423.4,238.9 L425.2,239.2 L427.1,239.5 L428.9,239.8 L430.8,240.2 L432.6,240.5 L434.5,240.8 L436.3,241.2 L438.2,241.6 L440,241.9 L441.9,242.3 L443.7,242.7 L445.6,243.1 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(255,140,0)" stroke-width="1"><path d="M75.8,63.58 L77.65,84.29 L79.5,100.4 L81.35,113.2 L83.2,123.7 L85.04,132.4 L86.89,139.8 L88.74,146.1 L90.59,151.6 L92.44,156.4 L94.29,160.6 L96.14,164.4 L97.99,167.7 L99.83,170.8 L101.7,173.5 L103.5,176 L105.4,178.3 L107.2,180.4 L109.1,182.4 L110.9,184.1 L112.8,185.8 L114.6,187.3 L116.5,188.8 L118.3,190.1 L120.2,191.4 L122,192.6 L123.9,193.7 L125.7,194.7 L127.6,195.7 L129.4,196.7 L131.3,197.6 L133.1,198.4 L135,199.2 L136.8,200 L138.7,200.7 L140.5,201.4 L142.4,202.1 L144.2,202.7 L146.1,203.3 L147.9,203.9 L149.8,204.5 L151.6,205 L153.5,205.5 L155.3,206 L157.1,206.5 L159,207 L160.8,207.4 L162.7,207.8 L164.5,208.3 L166.4,208.7 L168.2,209.1 L170.1,209.4 L171.9,209.8 L173.8,210.2 L175.6,210.5 L177.5,210.8 L179.3,211.2 L181.2,211.5 L183,211.8 L184.9,212.1 L186.7,212.4 L188.6,212.7 L190.4,212.9 L192.3,213.2 L194.1,213.5 L196,213.7 L197.8,214 L199.7,214.2 L201.5,214.5 L203.4,214.7 L205.2,214.9 L207.1,215.1 L208.9,215.4 L210.8,215.6 L212.6,215.8 L214.5,216 L216.3,216.2 L218.2,216.4 L220,216.6 L221.9,216.8 L223.7,216.9 L225.6,217.1 L227.4,217.3 L229.3,217.5 L231.1,217.6 L232.9,217.8 L234.8,218 L236.6,218.1 L238.5,218.3 L240.3,218.5 L242.2,218.6 L244,218.8 L245.9,218.9 L247.7,219 L249.6,219.2 L251.4,219.3 L253.3,219.5 L255.1,219.6 L257,219.7 L258.8,219.9 L260.7,220 L262.5,220.1 L264.4,220.3 L266.2,220.4 L268.1,220.5 L269.9,220.6 L271.8,220.7 L273.6,220.9 L275.5,221 L277.3,221.1 L279.2,221.2 L281,221.3 L282.9,221.4 L284.7,221.5 L286.6,221.6 L288.4,221.7 L290.3,221.8 L292.1,222 L294,222.1 L295.8,222.2 L297.7,222.3 L299.5,222.4 L301.4,222.5 L303.2,222.5 L305.1,222.6 L306.9,222.7 L308.8,222.8 L310.6,222.9 L312.4,223 L314.3,223.1 L316.1,223.2 L318,223.3 L319.8,223.4 L321.7,223.5 L323.5,223.6 L325.4,223.6 L327.2,223.7 L329.1,223.8 L330.9,223.9 L332.8,224 L334.6,224.1 L336.5,224.1 L338.3,224.2 L340.2,224.3 L342,224.4 L343.9,224.5 L345.7,224.5 L347.6,224.6 L349.4,224.7 L351.3,224.8 L353.1,224.9 L355,224.9 L356.8,225 L358.7,225.1 L360.5,225.2 L362.4,225.2 L364.2,225.3 L366.1,225.4 L367.9,225.5 L369.8,225.6 L371.6,225.6 L373.5,225.7 L375.3,225.8 L377.2,225.9 L379,225.9 L380.9,226 L382.7,226.1 L384.6,226.1 L386.4,226.2 L388.3,226.3 L390.1,226.4 L391.9,226.4 L393.8,226.5 L395.6,226.6 L397.5,226.7 L399.3,226.7 L401.2,226.8 L403,226.9 L404.9,227 L406.7,227 L408.6,227.1 L410.4,227.2 L412.3,227.3 L414.1,227.3 L416,227.4 L417.8,227.5 L419.7,227.6 L421.5,227.6 L423.4,227.7 L425.2,227.8 L427.1,227.9 L428.9,227.9 L430.8,228 L432.6,228.1 L434.5,228.2 L436.3,228.3 L438.2,228.3 L440,228.4 L441.9,228.5 L443.7,228.6 L445.6,228.7 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(127,255,0)" stroke-width="1"><path d="M75.8,63.55 L77.65,84.26 L79.5,100.3 L81.35,113.1 L83.2,123.6 L85.04,132.3 L86.89,139.7 L88.74,146 L90.59,151.5 L92.44,156.3 L94.29,160.5 L96.14,164.3 L97.99,167.7 L99.83,170.7 L101.7,173.4 L103.5,175.9 L105.4,178.2 L107.2,180.3 L109.1,182.3 L110.9,184 L112.8,185.7 L114.6,187.2 L116.5,188.7 L118.3,190 L120.2,191.3 L122,192.4 L123.9,193.5 L125.7,194.6 L127.6,195.6 L129.4,196.5 L131.3,197.4 L133.1,198.2 L135,199 L136.8,199.8 L138.7,200.5 L140.5,201.2 L142.4,201.9 L144.2,202.5 L146.1,203.1 L147.9,203.7 L149.8,204.2 L151.6,204.8 L153.5,205.3 L155.3,205.8 L157.1,206.3 L159,206.7 L160.8,207.2 L162.7,207.6 L164.5,208 L166.4,208.4 L168.2,208.8 L170.1,209.2 L171.9,209.5 L173.8,209.9 L175.6,210.2 L177.5,210.5 L179.3,210.9 L181.2,211.2 L183,211.5 L184.9,211.8 L186.7,212 L188.6,212.3 L190.4,212.6 L192.3,212.9 L194.1,213.1 L196,213.4 L197.8,213.6 L199.7,213.8 L201.5,214.1 L203.4,214.3 L205.2,214.5 L207.1,214.7 L208.9,214.9 L210.8,215.1 L212.6,215.3 L214.5,215.5 L216.3,215.7 L218.2,215.9 L220,216.1 L221.9,216.3 L223.7,216.4 L225.6,216.6 L227.4,216.8 L229.3,216.9 L231.1,217.1 L232.9,217.2 L234.8,217.4 L236.6,217.5 L238.5,217.7 L240.3,217.8 L242.2,218 L244,218.1 L245.9,218.2 L247.7,218.4 L249.6,218.5 L251.4,218.6 L253.3,218.8 L255.1,218.9 L257,219 L258.8,219.1 L260.7,219.2 L262.5,219.4 L264.4,219.5 L266.2,219.6 L268.1,219.7 L269.9,219.8 L271.8,219.9 L273.6,220 L275.5,220.1 L277.3,220.2 L279.2,220.3 L281,220.4 L282.9,220.5 L284.7,220.6 L286.6,220.7 L288.4,220.8 L290.3,220.8 L292.1,220.9 L294,221 L295.8,221.1 L297.7,221.2 L299.5,221.3 L301.4,221.3 L303.2,221.4 L305.1,221.5 L306.9,221.6 L308.8,221.6 L310.6,221.7 L312.4,221.8 L314.3,221.9 L316.1,221.9 L318,222 L319.8,222.1 L321.7,222.1 L323.5,222.2 L325.4,222.3 L327.2,222.3 L329.1,222.4 L330.9,222.4 L332.8,222.5 L334.6,222.6 L336.5,222.6 L338.3,222.7 L340.2,222.7 L342,222.8 L343.9,222.8 L345.7,222.9 L347.6,223 L349.4,223 L351.3,223.1 L353.1,223.1 L355,223.2 L356.8,223.2 L358.7,223.3 L360.5,223.3 L362.4,223.3 L364.2,223.4 L366.1,223.4 L367.9,223.5 L369.8,223.5 L371.6,223.6 L373.5,223.6 L375.3,223.7 L377.2,223.7 L379,223.7 L380.9,223.8 L382.7,223.8 L384.6,223.9 L386.4,223.9 L388.3,223.9 L390.1,224 L391.9,224 L393.8,224 L395.6,224.1 L397.5,224.1 L399.3,224.1 L401.2,224.2 L403,224.2 L404.9,224.3 L406.7,224.3 L408.6,224.3 L410.4,224.3 L412.3,224.4 L414.1,224.4 L416,224.4 L417.8,224.5 L419.7,224.5 L421.5,224.5 L423.4,224.6 L425.2,224.6 L427.1,224.6 L428.9,224.6 L430.8,224.7 L432.6,224.7 L434.5,224.7 L436.3,224.7 L438.2,224.8 L440,224.8 L441.9,224.8 L443.7,224.8 L445.6,224.9 " fill="none"/></g>
</g>
<g id="plotPoints" clip-path="url(#plot_window)"></g>
<g id="legendBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="1"><rect x="467" y="58" width="107" height="154"/><rect x="467" y="58" width="107" height="154"/></g>
<g id="legendPoints"><g stroke="rgb(0,0,139)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="86" x2="495" y2="86"/></g>
<g stroke="rgb(139,0,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="114" x2="495" y2="114"/></g>
<g stroke="rgb(0,100,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="142" x2="495" y2="142"/></g>
<g stroke="rgb(255,140,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="170" x2="495" y2="170"/></g>
<g stroke="rgb(127,255,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="198" x2="495" y2="198"/></g>
</g>
<g id="legendText">
<text x="502" y="86" font-size="14" font-family="Verdana">k=0</text>
<text x="502" y="114" font-size="14" font-family="Verdana">k=0.5</text>
<text x="502" y="142" font-size="14" font-family="Verdana">k=0.75</text>
<text x="502" y="170" font-size="14" font-family="Verdana">k=0.95</text>
<text x="502" y="198" font-size="14" font-family="Verdana">k=1</text></g>
<g id="title">
<text x="300" y="40" text-anchor="middle" font-size="20" font-family="Verdana">Jacobi Elliptic cs</text></g>
<g id="plotXValues"></g>
<g id="plotYValues"></g>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 19 KiB

BIN
doc/sf_and_dist/graphs/jacobi_dc.png Normal file
View File

Binary file not shown.
Side by Side

After

Width:  |  Height:  |  Size: 40 KiB

76
doc/sf_and_dist/graphs/jacobi_dc.svg Normal file
View File

@@ -0,0 +1,76 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<svg width="600" height ="400" version="1.1"
xmlns:svg ="http://www.w3.org/2000/svg"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cc="http://web.resource.org/cc/"
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns ="http://www.w3.org/2000/svg"
>
<!-- SVG plot written using Boost.Plot program (Creator Jacob Voytko) -->
<!-- Use, modification and distribution of Boost.Plot subject to the -->
<!-- Boost Software License, Version 1.0.-->
<!-- (See accompanying file LICENSE_1_0.txt -->
<!-- or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<!-- SVG Plot Copyright John Maddock 2008 -->
<meta name="copyright" content="John Maddock" />
<meta name="date" content="2008" />
<!-- Use, modification and distribution of this Scalable Vector Graphic file -->
<!-- are subject to the Boost Software License, Version 1.0. -->
<!-- (See accompanying file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<clipPath id="plot_window"><rect x="93.6" y="59" width="358.4" height="281"/></clipPath>
<g id="imageBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="0" y="0" width="600" height="400"/></g>
<g id="plotBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="92.6" y="58" width="360.4" height="283"/></g>
<g id="yMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="yMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="xMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="xMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="yAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="269.2" y1="58" x2="269.2" y2="346"/><line x1="92.6" y1="58" x2="92.6" y2="341"/></g>
<g id="xAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="87.6" y1="195.7" x2="453" y2="195.7"/><line x1="87.6" y1="341" x2="453" y2="341"/></g>
<g id="yMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M90.6,177.5 L92.6,177.5 M90.6,159.4 L92.6,159.4 M90.6,141.2 L92.6,141.2 M90.6,104.9 L92.6,104.9 M90.6,86.77 L92.6,86.77 M90.6,68.63 L92.6,68.63 M90.6,195.7 L92.6,195.7 M90.6,213.8 L92.6,213.8 M90.6,231.9 L92.6,231.9 M90.6,250.1 L92.6,250.1 M90.6,268.2 L92.6,268.2 M90.6,286.4 L92.6,286.4 M90.6,304.5 L92.6,304.5 M90.6,322.7 L92.6,322.7 M90.6,340.8 L92.6,340.8 " fill="none"/></g>
<g id="xMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M291.3,341 L291.3,343 M313.4,341 L313.4,343 M335.5,341 L335.5,343 M379.7,341 L379.7,343 M401.7,341 L401.7,343 M423.8,341 L423.8,343 M247.2,341 L247.2,343 M225.1,341 L225.1,343 M203,341 L203,343 M158.8,341 L158.8,343 M136.8,341 L136.8,343 M114.7,341 L114.7,343 " fill="none"/></g>
<g id="yMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M87.6,195.7 L92.6,195.7 M87.6,123.1 L92.6,123.1 M87.6,195.7 L92.6,195.7 M87.6,268.2 L92.6,268.2 M87.6,340.8 L92.6,340.8 " fill="none"/></g>
<g id="xMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M269.2,341 L269.2,346 M357.6,341 L357.6,346 M445.9,341 L445.9,346 M269.2,341 L269.2,346 M180.9,341 L180.9,346 M92.6,341 L92.6,346 " fill="none"/></g>
<g id="xTicksValues">
<text x="269.2" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">0</text>
<text x="357.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">5</text>
<text x="445.9" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">10</text>
<text x="269.2" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">0</text>
<text x="180.9" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-5</text>
<text x="92.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-10</text></g>
<g id="yTicksValues">
<text x="81.6" y="198.1" text-anchor="end" font-size="12" font-family="Verdana">0</text>
<text x="81.6" y="125.5" text-anchor="end" font-size="12" font-family="Verdana">50</text>
<text x="81.6" y="198.1" text-anchor="end" font-size="12" font-family="Verdana">0</text>
<text x="81.6" y="270.6" text-anchor="end" font-size="12" font-family="Verdana">-50</text>
<text x="81.6" y="343.2" text-anchor="end" font-size="12" font-family="Verdana">-100</text></g>
<g id="yLabel">
<text x="42.9" y="199.5" text-anchor="middle" transform = "rotate(-90 42.9 199.5 )" font-size="14" font-family="Verdana">jacobi_dc(k, u)</text></g>
<g id="xLabel">
<text x="272.8" y="376.7" text-anchor="middle" font-size="14" font-family="Verdana">k</text></g>
<g id="plotLines" stroke-width="2"><g clip-path="url(#plot_window)" stroke="rgb(0,0,139)" stroke-width="1"><path d="M92.6,197.4 L94.37,197.3 L96.13,197.2 L97.9,197.2 L99.67,197.1 L101.4,197.1 L103.2,197.1 L105,197.1 L106.7,197.1 L108.5,197.2 L110.3,197.2 L112,197.3 L113.8,197.4 L115.6,197.6 L117.3,197.8 L119.1,198.1 L120.9,198.5 L122.6,199 L124.4,199.9 L126.2,201.6 L127.9,205.6 L129.7,227.2 L131.5,168.7 L133.2,186.2 L135,189.9 L136.8,191.5 L138.5,192.3 L140.3,192.9 L142.1,193.3 L143.8,193.5 L145.6,193.7 L147.4,193.9 L149.1,194 L150.9,194.1 L152.7,194.1 L154.4,194.2 L156.2,194.2 L158,194.2 L159.7,194.2 L161.5,194.2 L163.3,194.1 L165,194.1 L166.8,194 L168.6,193.9 L170.3,193.8 L172.1,193.6 L173.9,193.4 L175.6,193 L177.4,192.6 L179.2,191.8 L180.9,190.5 L182.7,187.9 L184.5,179.1 L186.2,312.8 L188,208.6 L189.8,202.5 L191.5,200.4 L193.3,199.3 L195.1,198.6 L196.8,198.2 L198.6,197.9 L200.4,197.7 L202.1,197.5 L203.9,197.4 L205.7,197.3 L207.4,197.2 L209.2,197.2 L211,197.1 L212.7,197.1 L214.5,197.1 L216.3,197.1 L218,197.2 L219.8,197.2 L221.6,197.3 L223.3,197.3 L225.1,197.5 L226.9,197.6 L228.6,197.8 L230.4,198.1 L232.2,198.5 L233.9,199.1 L235.7,200.1 L237.5,202 L239.2,206.9 L241,245.4 L242.7,175.1 L244.5,187.1 L246.3,190.2 L248,191.6 L249.8,192.5 L251.6,193 L253.3,193.3 L255.1,193.6 L256.9,193.8 L258.6,193.9 L260.4,194 L262.2,194.1 L263.9,194.1 L265.7,194.2 L267.5,194.2 L269.2,194.2 L271,194.2 L272.8,194.2 L274.5,194.1 L276.3,194.1 L278.1,194 L279.8,193.9 L281.6,193.8 L283.4,193.6 L285.1,193.3 L286.9,193 L288.7,192.5 L290.4,191.6 L292.2,190.2 L294,187.1 L295.7,175.1 L297.5,245.4 L299.3,206.9 L301,202 L302.8,200.1 L304.6,199.1 L306.3,198.5 L308.1,198.1 L309.9,197.8 L311.6,197.6 L313.4,197.5 L315.2,197.3 L316.9,197.3 L318.7,197.2 L320.5,197.2 L322.2,197.1 L324,197.1 L325.8,197.1 L327.5,197.1 L329.3,197.2 L331.1,197.2 L332.8,197.3 L334.6,197.4 L336.4,197.5 L338.1,197.7 L339.9,197.9 L341.7,198.2 L343.4,198.6 L345.2,199.3 L347,200.4 L348.7,202.5 L350.5,208.6 L352.3,312.8 L354,179.1 L355.8,187.9 L357.6,190.5 L359.3,191.8 L361.1,192.6 L362.9,193 L364.6,193.4 L366.4,193.6 L368.2,193.8 L369.9,193.9 L371.7,194 L373.5,194.1 L375.2,194.1 L377,194.2 L378.8,194.2 L380.5,194.2 L382.3,194.2 L384.1,194.2 L385.8,194.1 L387.6,194.1 L389.4,194 L391.1,193.9 L392.9,193.7 L394.7,193.5 L396.4,193.3 L398.2,192.9 L400,192.3 L401.7,191.5 L403.5,189.9 L405.3,186.2 L407,168.7 L408.8,227.2 L410.6,205.6 L412.3,201.6 L414.1,199.9 L415.9,199 L417.6,198.5 L419.4,198.1 L421.2,197.8 L422.9,197.6 L424.7,197.4 L426.5,197.3 L428.2,197.2 L430,197.2 L431.8,197.1 L433.5,197.1 L435.3,197.1 L437.1,197.1 L438.8,197.1 L440.6,197.2 L442.4,197.2 L444.1,197.3 L445.9,197.4 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(139,0,0)" stroke-width="1"><path d="M92.6,197.1 L94.37,197.1 L96.13,197.2 L97.9,197.2 L99.67,197.3 L101.4,197.3 L103.2,197.5 L105,197.6 L106.7,197.8 L108.5,198 L110.3,198.4 L112,198.9 L113.8,199.7 L115.6,201.1 L117.3,204.2 L119.1,216.1 L120.9,145.2 L122.6,184.3 L124.4,189.2 L126.2,191.1 L127.9,192.1 L129.7,192.7 L131.5,193.2 L133.2,193.4 L135,193.6 L136.8,193.8 L138.5,193.9 L140.3,194 L142.1,194.1 L143.8,194.1 L145.6,194.2 L147.4,194.2 L149.1,194.2 L150.9,194.2 L152.7,194.2 L154.4,194.2 L156.2,194.1 L158,194.1 L159.7,194 L161.5,193.9 L163.3,193.8 L165,193.7 L166.8,193.5 L168.6,193.2 L170.3,192.8 L172.1,192.2 L173.9,191.3 L175.6,189.6 L177.4,185.4 L179.2,161.7 L180.9,221 L182.7,204.9 L184.5,201.4 L186.2,199.8 L188,199 L189.8,198.4 L191.5,198.1 L193.3,197.8 L195.1,197.6 L196.8,197.5 L198.6,197.4 L200.4,197.3 L202.1,197.2 L203.9,197.2 L205.7,197.1 L207.4,197.1 L209.2,197.1 L211,197.1 L212.7,197.1 L214.5,197.1 L216.3,197.2 L218,197.2 L219.8,197.3 L221.6,197.4 L223.3,197.5 L225.1,197.7 L226.9,197.9 L228.6,198.2 L230.4,198.6 L232.2,199.3 L233.9,200.4 L235.7,202.5 L237.5,208.4 L239.2,297.5 L241,178.7 L242.7,187.8 L244.5,190.5 L246.3,191.8 L248,192.5 L249.8,193 L251.6,193.3 L253.3,193.6 L255.1,193.7 L256.9,193.9 L258.6,194 L260.4,194.1 L262.2,194.1 L263.9,194.2 L265.7,194.2 L267.5,194.2 L269.2,194.2 L271,194.2 L272.8,194.2 L274.5,194.2 L276.3,194.1 L278.1,194.1 L279.8,194 L281.6,193.9 L283.4,193.7 L285.1,193.6 L286.9,193.3 L288.7,193 L290.4,192.5 L292.2,191.8 L294,190.5 L295.7,187.8 L297.5,178.7 L299.3,297.5 L301,208.4 L302.8,202.5 L304.6,200.4 L306.3,199.3 L308.1,198.6 L309.9,198.2 L311.6,197.9 L313.4,197.7 L315.2,197.5 L316.9,197.4 L318.7,197.3 L320.5,197.2 L322.2,197.2 L324,197.1 L325.8,197.1 L327.5,197.1 L329.3,197.1 L331.1,197.1 L332.8,197.1 L334.6,197.2 L336.4,197.2 L338.1,197.3 L339.9,197.4 L341.7,197.5 L343.4,197.6 L345.2,197.8 L347,198.1 L348.7,198.4 L350.5,199 L352.3,199.8 L354,201.4 L355.8,204.9 L357.6,221 L359.3,161.7 L361.1,185.4 L362.9,189.6 L364.6,191.3 L366.4,192.2 L368.2,192.8 L369.9,193.2 L371.7,193.5 L373.5,193.7 L375.2,193.8 L377,193.9 L378.8,194 L380.5,194.1 L382.3,194.1 L384.1,194.2 L385.8,194.2 L387.6,194.2 L389.4,194.2 L391.1,194.2 L392.9,194.2 L394.7,194.1 L396.4,194.1 L398.2,194 L400,193.9 L401.7,193.8 L403.5,193.6 L405.3,193.4 L407,193.2 L408.8,192.7 L410.6,192.1 L412.3,191.1 L414.1,189.2 L415.9,184.3 L417.6,145.2 L419.4,216.1 L421.2,204.2 L422.9,201.1 L424.7,199.7 L426.5,198.9 L428.2,198.4 L430,198 L431.8,197.8 L433.5,197.6 L435.3,197.5 L437.1,197.3 L438.8,197.3 L440.6,197.2 L442.4,197.2 L444.1,197.1 L445.9,197.1 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(0,100,0)" stroke-width="1"><path d="M92.6,199.1 L94.37,200 L96.13,201.7 L97.9,205.7 L99.67,227.9 L101.4,169.2 L103.2,186.2 L105,189.9 L106.7,191.4 L108.5,192.3 L110.3,192.8 L112,193.2 L113.8,193.5 L115.6,193.6 L117.3,193.8 L119.1,193.9 L120.9,194 L122.6,194 L124.4,194.1 L126.2,194.1 L127.9,194.2 L129.7,194.2 L131.5,194.2 L133.2,194.2 L135,194.2 L136.8,194.2 L138.5,194.2 L140.3,194.2 L142.1,194.1 L143.8,194.1 L145.6,194 L147.4,194 L149.1,193.9 L150.9,193.8 L152.7,193.7 L154.4,193.5 L156.2,193.2 L158,192.9 L159.7,192.4 L161.5,191.6 L163.3,190.1 L165,186.9 L166.8,174 L168.6,239.7 L170.3,206.6 L172.1,202 L173.9,200.1 L175.6,199.2 L177.4,198.6 L179.2,198.2 L180.9,197.9 L182.7,197.7 L184.5,197.6 L186.2,197.4 L188,197.4 L189.8,197.3 L191.5,197.2 L193.3,197.2 L195.1,197.2 L196.8,197.1 L198.6,197.1 L200.4,197.1 L202.1,197.1 L203.9,197.1 L205.7,197.1 L207.4,197.1 L209.2,197.2 L211,197.2 L212.7,197.2 L214.5,197.3 L216.3,197.4 L218,197.5 L219.8,197.6 L221.6,197.8 L223.3,198 L225.1,198.3 L226.9,198.8 L228.6,199.5 L230.4,200.8 L232.2,203.4 L233.9,212 L235.7,63.55 L237.5,182.5 L239.2,188.7 L241,190.9 L242.7,192 L244.5,192.6 L246.3,193.1 L248,193.3 L249.8,193.6 L251.6,193.7 L253.3,193.8 L255.1,193.9 L256.9,194 L258.6,194.1 L260.4,194.1 L262.2,194.1 L263.9,194.2 L265.7,194.2 L267.5,194.2 L269.2,194.2 L271,194.2 L272.8,194.2 L274.5,194.2 L276.3,194.1 L278.1,194.1 L279.8,194.1 L281.6,194 L283.4,193.9 L285.1,193.8 L286.9,193.7 L288.7,193.6 L290.4,193.3 L292.2,193.1 L294,192.6 L295.7,192 L297.5,190.9 L299.3,188.7 L301,182.5 L302.8,63.55 L304.6,212 L306.3,203.4 L308.1,200.8 L309.9,199.5 L311.6,198.8 L313.4,198.3 L315.2,198 L316.9,197.8 L318.7,197.6 L320.5,197.5 L322.2,197.4 L324,197.3 L325.8,197.2 L327.5,197.2 L329.3,197.2 L331.1,197.1 L332.8,197.1 L334.6,197.1 L336.4,197.1 L338.1,197.1 L339.9,197.1 L341.7,197.1 L343.4,197.2 L345.2,197.2 L347,197.2 L348.7,197.3 L350.5,197.4 L352.3,197.4 L354,197.6 L355.8,197.7 L357.6,197.9 L359.3,198.2 L361.1,198.6 L362.9,199.2 L364.6,200.1 L366.4,202 L368.2,206.6 L369.9,239.7 L371.7,174 L373.5,186.9 L375.2,190.1 L377,191.6 L378.8,192.4 L380.5,192.9 L382.3,193.2 L384.1,193.5 L385.8,193.7 L387.6,193.8 L389.4,193.9 L391.1,194 L392.9,194 L394.7,194.1 L396.4,194.1 L398.2,194.2 L400,194.2 L401.7,194.2 L403.5,194.2 L405.3,194.2 L407,194.2 L408.8,194.2 L410.6,194.2 L412.3,194.1 L414.1,194.1 L415.9,194 L417.6,194 L419.4,193.9 L421.2,193.8 L422.9,193.6 L424.7,193.5 L426.5,193.2 L428.2,192.8 L430,192.3 L431.8,191.4 L433.5,189.9 L435.3,186.2 L437.1,169.2 L438.8,227.9 L440.6,205.7 L442.4,201.7 L444.1,200 L445.9,199.1 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(255,140,0)" stroke-width="1"><path d="M92.6,194.2 L94.37,194.2 L96.13,194.2 L97.9,194.2 L99.67,194.2 L101.4,194.1 L103.2,194.1 L105,194.1 L106.7,194.1 L108.5,194 L110.3,194 L112,193.9 L113.8,193.8 L115.6,193.7 L117.3,193.5 L119.1,193.3 L120.9,193.1 L122.6,192.7 L124.4,192.1 L126.2,191.1 L127.9,189.2 L129.7,184.4 L131.5,147.2 L133.2,216.4 L135,204.3 L136.8,201.2 L138.5,199.7 L140.3,199 L142.1,198.5 L143.8,198.1 L145.6,197.9 L147.4,197.7 L149.1,197.6 L150.9,197.5 L152.7,197.4 L154.4,197.3 L156.2,197.3 L158,197.2 L159.7,197.2 L161.5,197.2 L163.3,197.2 L165,197.2 L166.8,197.1 L168.6,197.1 L170.3,197.1 L172.1,197.1 L173.9,197.1 L175.6,197.1 L177.4,197.1 L179.2,197.1 L180.9,197.1 L182.7,197.1 L184.5,197.1 L186.2,197.1 L188,197.1 L189.8,197.1 L191.5,197.2 L193.3,197.2 L195.1,197.2 L196.8,197.2 L198.6,197.3 L200.4,197.3 L202.1,197.4 L203.9,197.4 L205.7,197.5 L207.4,197.6 L209.2,197.8 L211,198 L212.7,198.3 L214.5,198.7 L216.3,199.4 L218,200.5 L219.8,202.7 L221.6,208.9 L223.3,341 L225.1,179.5 L226.9,187.9 L228.6,190.5 L230.4,191.8 L232.2,192.5 L233.9,192.9 L235.7,193.2 L237.5,193.5 L239.2,193.6 L241,193.8 L242.7,193.9 L244.5,193.9 L246.3,194 L248,194 L249.8,194.1 L251.6,194.1 L253.3,194.1 L255.1,194.1 L256.9,194.2 L258.6,194.2 L260.4,194.2 L262.2,194.2 L263.9,194.2 L265.7,194.2 L267.5,194.2 L269.2,194.2 L271,194.2 L272.8,194.2 L274.5,194.2 L276.3,194.2 L278.1,194.2 L279.8,194.2 L281.6,194.2 L283.4,194.1 L285.1,194.1 L286.9,194.1 L288.7,194.1 L290.4,194 L292.2,194 L294,193.9 L295.7,193.9 L297.5,193.8 L299.3,193.6 L301,193.5 L302.8,193.2 L304.6,192.9 L306.3,192.5 L308.1,191.8 L309.9,190.5 L311.6,187.9 L313.4,179.5 L315.2,341 L316.9,208.9 L318.7,202.7 L320.5,200.5 L322.2,199.4 L324,198.7 L325.8,198.3 L327.5,198 L329.3,197.8 L331.1,197.6 L332.8,197.5 L334.6,197.4 L336.4,197.4 L338.1,197.3 L339.9,197.3 L341.7,197.2 L343.4,197.2 L345.2,197.2 L347,197.2 L348.7,197.1 L350.5,197.1 L352.3,197.1 L354,197.1 L355.8,197.1 L357.6,197.1 L359.3,197.1 L361.1,197.1 L362.9,197.1 L364.6,197.1 L366.4,197.1 L368.2,197.1 L369.9,197.1 L371.7,197.1 L373.5,197.2 L375.2,197.2 L377,197.2 L378.8,197.2 L380.5,197.2 L382.3,197.3 L384.1,197.3 L385.8,197.4 L387.6,197.5 L389.4,197.6 L391.1,197.7 L392.9,197.9 L394.7,198.1 L396.4,198.5 L398.2,199 L400,199.7 L401.7,201.2 L403.5,204.3 L405.3,216.4 L407,147.2 L408.8,184.4 L410.6,189.2 L412.3,191.1 L414.1,192.1 L415.9,192.7 L417.6,193.1 L419.4,193.3 L421.2,193.5 L422.9,193.7 L424.7,193.8 L426.5,193.9 L428.2,194 L430,194 L431.8,194.1 L433.5,194.1 L435.3,194.1 L437.1,194.1 L438.8,194.2 L440.6,194.2 L442.4,194.2 L444.1,194.2 L445.9,194.2 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(127,255,0)" stroke-width="1"><path d="M92.6,194.2 L94.37,194.2 L96.13,194.2 L97.9,194.2 L99.67,194.2 L101.4,194.2 L103.2,194.2 L105,194.2 L106.7,194.2 L108.5,194.2 L110.3,194.2 L112,194.2 L113.8,194.2 L115.6,194.2 L117.3,194.2 L119.1,194.2 L120.9,194.2 L122.6,194.2 L124.4,194.2 L126.2,194.2 L127.9,194.2 L129.7,194.2 L131.5,194.2 L133.2,194.2 L135,194.2 L136.8,194.2 L138.5,194.2 L140.3,194.2 L142.1,194.2 L143.8,194.2 L145.6,194.2 L147.4,194.2 L149.1,194.2 L150.9,194.2 L152.7,194.2 L154.4,194.2 L156.2,194.2 L158,194.2 L159.7,194.2 L161.5,194.2 L163.3,194.2 L165,194.2 L166.8,194.2 L168.6,194.2 L170.3,194.2 L172.1,194.2 L173.9,194.2 L175.6,194.2 L177.4,194.2 L179.2,194.2 L180.9,194.2 L182.7,194.2 L184.5,194.2 L186.2,194.2 L188,194.2 L189.8,194.2 L191.5,194.2 L193.3,194.2 L195.1,194.2 L196.8,194.2 L198.6,194.2 L200.4,194.2 L202.1,194.2 L203.9,194.2 L205.7,194.2 L207.4,194.2 L209.2,194.2 L211,194.2 L212.7,194.2 L214.5,194.2 L216.3,194.2 L218,194.2 L219.8,194.2 L221.6,194.2 L223.3,194.2 L225.1,194.2 L226.9,194.2 L228.6,194.2 L230.4,194.2 L232.2,194.2 L233.9,194.2 L235.7,194.2 L237.5,194.2 L239.2,194.2 L241,194.2 L242.7,194.2 L244.5,194.2 L246.3,194.2 L248,194.2 L249.8,194.2 L251.6,194.2 L253.3,194.2 L255.1,194.2 L256.9,194.2 L258.6,194.2 L260.4,194.2 L262.2,194.2 L263.9,194.2 L265.7,194.2 L267.5,194.2 L269.2,194.2 L271,194.2 L272.8,194.2 L274.5,194.2 L276.3,194.2 L278.1,194.2 L279.8,194.2 L281.6,194.2 L283.4,194.2 L285.1,194.2 L286.9,194.2 L288.7,194.2 L290.4,194.2 L292.2,194.2 L294,194.2 L295.7,194.2 L297.5,194.2 L299.3,194.2 L301,194.2 L302.8,194.2 L304.6,194.2 L306.3,194.2 L308.1,194.2 L309.9,194.2 L311.6,194.2 L313.4,194.2 L315.2,194.2 L316.9,194.2 L318.7,194.2 L320.5,194.2 L322.2,194.2 L324,194.2 L325.8,194.2 L327.5,194.2 L329.3,194.2 L331.1,194.2 L332.8,194.2 L334.6,194.2 L336.4,194.2 L338.1,194.2 L339.9,194.2 L341.7,194.2 L343.4,194.2 L345.2,194.2 L347,194.2 L348.7,194.2 L350.5,194.2 L352.3,194.2 L354,194.2 L355.8,194.2 L357.6,194.2 L359.3,194.2 L361.1,194.2 L362.9,194.2 L364.6,194.2 L366.4,194.2 L368.2,194.2 L369.9,194.2 L371.7,194.2 L373.5,194.2 L375.2,194.2 L377,194.2 L378.8,194.2 L380.5,194.2 L382.3,194.2 L384.1,194.2 L385.8,194.2 L387.6,194.2 L389.4,194.2 L391.1,194.2 L392.9,194.2 L394.7,194.2 L396.4,194.2 L398.2,194.2 L400,194.2 L401.7,194.2 L403.5,194.2 L405.3,194.2 L407,194.2 L408.8,194.2 L410.6,194.2 L412.3,194.2 L414.1,194.2 L415.9,194.2 L417.6,194.2 L419.4,194.2 L421.2,194.2 L422.9,194.2 L424.7,194.2 L426.5,194.2 L428.2,194.2 L430,194.2 L431.8,194.2 L433.5,194.2 L435.3,194.2 L437.1,194.2 L438.8,194.2 L440.6,194.2 L442.4,194.2 L444.1,194.2 L445.9,194.2 " fill="none"/></g>
</g>
<g id="plotPoints" clip-path="url(#plot_window)"></g>
<g id="legendBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="1"><rect x="467" y="58" width="107" height="154"/><rect x="467" y="58" width="107" height="154"/></g>
<g id="legendPoints"><g stroke="rgb(0,0,139)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="86" x2="495" y2="86"/></g>
<g stroke="rgb(139,0,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="114" x2="495" y2="114"/></g>
<g stroke="rgb(0,100,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="142" x2="495" y2="142"/></g>
<g stroke="rgb(255,140,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="170" x2="495" y2="170"/></g>
<g stroke="rgb(127,255,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="198" x2="495" y2="198"/></g>
</g>
<g id="legendText">
<text x="502" y="86" font-size="14" font-family="Verdana">k=0</text>
<text x="502" y="114" font-size="14" font-family="Verdana">k=0.5</text>
<text x="502" y="142" font-size="14" font-family="Verdana">k=0.75</text>
<text x="502" y="170" font-size="14" font-family="Verdana">k=0.95</text>
<text x="502" y="198" font-size="14" font-family="Verdana">k=1</text></g>
<g id="title">
<text x="300" y="40" text-anchor="middle" font-size="20" font-family="Verdana">Jacobi Elliptic dc</text></g>
<g id="plotXValues"></g>
<g id="plotYValues"></g>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 19 KiB

BIN
doc/sf_and_dist/graphs/jacobi_dn.png Normal file
View File

Binary file not shown.
Side by Side

After

Width:  |  Height:  |  Size: 55 KiB

81
doc/sf_and_dist/graphs/jacobi_dn.svg Normal file
View File

@@ -0,0 +1,81 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<svg width="600" height ="400" version="1.1"
xmlns:svg ="http://www.w3.org/2000/svg"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cc="http://web.resource.org/cc/"
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns ="http://www.w3.org/2000/svg"
>
<!-- SVG plot written using Boost.Plot program (Creator Jacob Voytko) -->
<!-- Use, modification and distribution of Boost.Plot subject to the -->
<!-- Boost Software License, Version 1.0.-->
<!-- (See accompanying file LICENSE_1_0.txt -->
<!-- or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<!-- SVG Plot Copyright John Maddock 2008 -->
<meta name="copyright" content="John Maddock" />
<meta name="date" content="2008" />
<!-- Use, modification and distribution of this Scalable Vector Graphic file -->
<!-- are subject to the Boost Software License, Version 1.0. -->
<!-- (See accompanying file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<clipPath id="plot_window"><rect x="85.2" y="59" width="366.8" height="281"/></clipPath>
<g id="imageBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="0" y="0" width="600" height="400"/></g>
<g id="plotBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="84.2" y="58" width="368.8" height="283"/></g>
<g id="yMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="yMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="xMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="xMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="yAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="265" y1="58" x2="265" y2="341"/><line x1="84.2" y1="58" x2="84.2" y2="341"/></g>
<g id="xAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="84.2" y1="341" x2="453" y2="341"/></g>
<g id="yMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M82.2,334.1 L84.2,334.1 M82.2,327.2 L84.2,327.2 M82.2,320.2 L84.2,320.2 M82.2,306.3 L84.2,306.3 M82.2,299.4 L84.2,299.4 M82.2,292.5 L84.2,292.5 M82.2,278.6 L84.2,278.6 M82.2,271.7 L84.2,271.7 M82.2,264.7 L84.2,264.7 M82.2,250.8 L84.2,250.8 M82.2,243.9 L84.2,243.9 M82.2,237 L84.2,237 M82.2,223.1 L84.2,223.1 M82.2,216.2 L84.2,216.2 M82.2,209.2 L84.2,209.2 M82.2,195.4 L84.2,195.4 M82.2,188.4 L84.2,188.4 M82.2,181.5 L84.2,181.5 M82.2,167.6 L84.2,167.6 M82.2,160.7 L84.2,160.7 M82.2,153.7 L84.2,153.7 M82.2,139.9 L84.2,139.9 M82.2,132.9 L84.2,132.9 M82.2,126 L84.2,126 M82.2,112.1 L84.2,112.1 M82.2,105.2 L84.2,105.2 M82.2,98.23 L84.2,98.23 M82.2,84.36 L84.2,84.36 M82.2,77.42 L84.2,77.42 M82.2,70.49 L84.2,70.49 " fill="none"/></g>
<g id="xMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M287.6,341 L287.6,343 M310.2,341 L310.2,343 M332.8,341 L332.8,343 M377.9,341 L377.9,343 M400.5,341 L400.5,343 M423.1,341 L423.1,343 M242.4,341 L242.4,343 M219.8,341 L219.8,343 M197.2,341 L197.2,343 M152,341 L152,343 M129.4,341 L129.4,343 M106.8,341 L106.8,343 " fill="none"/></g>
<g id="yMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M79.2,313.3 L84.2,313.3 M79.2,285.5 L84.2,285.5 M79.2,257.8 L84.2,257.8 M79.2,230 L84.2,230 M79.2,202.3 L84.2,202.3 M79.2,174.5 L84.2,174.5 M79.2,146.8 L84.2,146.8 M79.2,119 L84.2,119 M79.2,91.3 L84.2,91.3 M79.2,63.55 L84.2,63.55 " fill="none"/></g>
<g id="xMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M265,341 L265,346 M355.3,341 L355.3,346 M445.7,341 L445.7,346 M265,341 L265,346 M174.6,341 L174.6,346 M84.2,341 L84.2,346 " fill="none"/></g>
<g id="xTicksValues">
<text x="265" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">0</text>
<text x="355.3" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">5</text>
<text x="445.7" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">10</text>
<text x="265" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">0</text>
<text x="174.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-5</text>
<text x="84.2" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-10</text></g>
<g id="yTicksValues">
<text x="73.2" y="315.7" text-anchor="end" font-size="12" font-family="Verdana">0.1</text>
<text x="73.2" y="287.9" text-anchor="end" font-size="12" font-family="Verdana">0.2</text>
<text x="73.2" y="260.2" text-anchor="end" font-size="12" font-family="Verdana">0.3</text>
<text x="73.2" y="232.4" text-anchor="end" font-size="12" font-family="Verdana">0.4</text>
<text x="73.2" y="204.7" text-anchor="end" font-size="12" font-family="Verdana">0.5</text>
<text x="73.2" y="176.9" text-anchor="end" font-size="12" font-family="Verdana">0.6</text>
<text x="73.2" y="149.2" text-anchor="end" font-size="12" font-family="Verdana">0.7</text>
<text x="73.2" y="121.4" text-anchor="end" font-size="12" font-family="Verdana">0.8</text>
<text x="73.2" y="93.7" text-anchor="end" font-size="12" font-family="Verdana">0.9</text>
<text x="73.2" y="65.95" text-anchor="end" font-size="12" font-family="Verdana">1</text></g>
<g id="yLabel">
<text x="42.9" y="199.5" text-anchor="middle" transform = "rotate(-90 42.9 199.5 )" font-size="14" font-family="Verdana">jacobi_dn(k, u)</text></g>
<g id="xLabel">
<text x="268.6" y="376.7" text-anchor="middle" font-size="14" font-family="Verdana">k</text></g>
<g id="plotLines" stroke-width="2"><g clip-path="url(#plot_window)" stroke="rgb(0,0,139)" stroke-width="1"><path d="M84.2,63.55 L86.01,63.55 L87.82,63.55 L89.62,63.55 L91.43,63.55 L93.24,63.55 L95.05,63.55 L96.85,63.55 L98.66,63.55 L100.5,63.55 L102.3,63.55 L104.1,63.55 L105.9,63.55 L107.7,63.55 L109.5,63.55 L111.3,63.55 L113.1,63.55 L114.9,63.55 L116.7,63.55 L118.5,63.55 L120.4,63.55 L122.2,63.55 L124,63.55 L125.8,63.55 L127.6,63.55 L129.4,63.55 L131.2,63.55 L133,63.55 L134.8,63.55 L136.6,63.55 L138.4,63.55 L140.2,63.55 L142,63.55 L143.9,63.55 L145.7,63.55 L147.5,63.55 L149.3,63.55 L151.1,63.55 L152.9,63.55 L154.7,63.55 L156.5,63.55 L158.3,63.55 L160.1,63.55 L161.9,63.55 L163.7,63.55 L165.5,63.55 L167.4,63.55 L169.2,63.55 L171,63.55 L172.8,63.55 L174.6,63.55 L176.4,63.55 L178.2,63.55 L180,63.55 L181.8,63.55 L183.6,63.55 L185.4,63.55 L187.2,63.55 L189,63.55 L190.9,63.55 L192.7,63.55 L194.5,63.55 L196.3,63.55 L198.1,63.55 L199.9,63.55 L201.7,63.55 L203.5,63.55 L205.3,63.55 L207.1,63.55 L208.9,63.55 L210.7,63.55 L212.5,63.55 L214.4,63.55 L216.2,63.55 L218,63.55 L219.8,63.55 L221.6,63.55 L223.4,63.55 L225.2,63.55 L227,63.55 L228.8,63.55 L230.6,63.55 L232.4,63.55 L234.2,63.55 L236,63.55 L237.8,63.55 L239.7,63.55 L241.5,63.55 L243.3,63.55 L245.1,63.55 L246.9,63.55 L248.7,63.55 L250.5,63.55 L252.3,63.55 L254.1,63.55 L255.9,63.55 L257.7,63.55 L259.5,63.55 L261.3,63.55 L263.2,63.55 L265,63.55 L266.8,63.55 L268.6,63.55 L270.4,63.55 L272.2,63.55 L274,63.55 L275.8,63.55 L277.6,63.55 L279.4,63.55 L281.2,63.55 L283,63.55 L284.8,63.55 L286.7,63.55 L288.5,63.55 L290.3,63.55 L292.1,63.55 L293.9,63.55 L295.7,63.55 L297.5,63.55 L299.3,63.55 L301.1,63.55 L302.9,63.55 L304.7,63.55 L306.5,63.55 L308.3,63.55 L310.2,63.55 L312,63.55 L313.8,63.55 L315.6,63.55 L317.4,63.55 L319.2,63.55 L321,63.55 L322.8,63.55 L324.6,63.55 L326.4,63.55 L328.2,63.55 L330,63.55 L331.8,63.55 L333.7,63.55 L335.5,63.55 L337.3,63.55 L339.1,63.55 L340.9,63.55 L342.7,63.55 L344.5,63.55 L346.3,63.55 L348.1,63.55 L349.9,63.55 L351.7,63.55 L353.5,63.55 L355.3,63.55 L357.2,63.55 L359,63.55 L360.8,63.55 L362.6,63.55 L364.4,63.55 L366.2,63.55 L368,63.55 L369.8,63.55 L371.6,63.55 L373.4,63.55 L375.2,63.55 L377,63.55 L378.8,63.55 L380.7,63.55 L382.5,63.55 L384.3,63.55 L386.1,63.55 L387.9,63.55 L389.7,63.55 L391.5,63.55 L393.3,63.55 L395.1,63.55 L396.9,63.55 L398.7,63.55 L400.5,63.55 L402.3,63.55 L404.2,63.55 L406,63.55 L407.8,63.55 L409.6,63.55 L411.4,63.55 L413.2,63.55 L415,63.55 L416.8,63.55 L418.6,63.55 L420.4,63.55 L422.2,63.55 L424,63.55 L425.8,63.55 L427.7,63.55 L429.5,63.55 L431.3,63.55 L433.1,63.55 L434.9,63.55 L436.7,63.55 L438.5,63.55 L440.3,63.55 L442.1,63.55 L443.9,63.55 L445.7,63.55 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(139,0,0)" stroke-width="1"><path d="M84.2,64 L86.01,65.12 L87.82,66.86 L89.62,69.16 L91.43,71.92 L93.24,75.02 L95.05,78.37 L96.85,81.82 L98.66,85.26 L100.5,88.58 L102.3,91.65 L104.1,94.39 L105.9,96.71 L107.7,98.55 L109.5,99.85 L111.3,100.6 L113.1,100.7 L114.9,100.2 L116.7,99.17 L118.5,97.56 L120.4,95.43 L122.2,92.86 L124,89.92 L125.8,86.69 L127.6,83.29 L129.4,79.83 L131.2,76.42 L133,73.2 L134.8,70.28 L136.6,67.78 L138.4,65.79 L140.2,64.4 L142,63.66 L143.9,63.61 L145.7,64.25 L147.5,65.55 L149.3,67.46 L151.1,69.9 L152.9,72.77 L154.7,75.96 L156.5,79.35 L158.3,82.81 L160.1,86.23 L161.9,89.48 L163.7,92.47 L165.5,95.1 L167.4,97.29 L169.2,98.98 L171,100.1 L172.8,100.7 L174.6,100.6 L176.4,99.99 L178.2,98.77 L180,97 L181.8,94.74 L183.6,92.06 L185.4,89.02 L187.2,85.74 L189,82.31 L190.9,78.85 L192.7,75.48 L194.5,72.33 L196.3,69.52 L198.1,67.15 L199.9,65.33 L201.7,64.12 L203.5,63.58 L205.3,63.73 L207.1,64.56 L208.9,66.04 L210.7,68.11 L212.5,70.68 L214.4,73.65 L216.2,76.91 L218,80.33 L219.8,83.79 L221.6,87.17 L223.4,90.36 L225.2,93.26 L227,95.77 L228.8,97.82 L230.6,99.36 L232.4,100.3 L234.2,100.7 L236,100.5 L237.8,99.7 L239.7,98.32 L241.5,96.41 L243.3,94.02 L245.1,91.22 L246.9,88.11 L248.7,84.77 L250.5,81.32 L252.3,77.87 L254.1,74.56 L255.9,71.49 L257.7,68.79 L259.5,66.57 L261.3,64.92 L263.2,63.89 L265,63.55 L266.8,63.89 L268.6,64.92 L270.4,66.57 L272.2,68.79 L274,71.49 L275.8,74.56 L277.6,77.87 L279.4,81.32 L281.2,84.77 L283,88.11 L284.8,91.22 L286.7,94.02 L288.5,96.41 L290.3,98.32 L292.1,99.7 L293.9,100.5 L295.7,100.7 L297.5,100.3 L299.3,99.36 L301.1,97.82 L302.9,95.77 L304.7,93.26 L306.5,90.36 L308.3,87.17 L310.2,83.79 L312,80.33 L313.8,76.91 L315.6,73.65 L317.4,70.68 L319.2,68.11 L321,66.04 L322.8,64.56 L324.6,63.73 L326.4,63.58 L328.2,64.12 L330,65.33 L331.8,67.15 L333.7,69.52 L335.5,72.33 L337.3,75.48 L339.1,78.85 L340.9,82.31 L342.7,85.74 L344.5,89.02 L346.3,92.06 L348.1,94.74 L349.9,97 L351.7,98.77 L353.5,99.99 L355.3,100.6 L357.2,100.7 L359,100.1 L360.8,98.98 L362.6,97.29 L364.4,95.1 L366.2,92.47 L368,89.48 L369.8,86.23 L371.6,82.81 L373.4,79.35 L375.2,75.96 L377,72.77 L378.8,69.9 L380.7,67.46 L382.5,65.55 L384.3,64.25 L386.1,63.61 L387.9,63.66 L389.7,64.4 L391.5,65.79 L393.3,67.78 L395.1,70.28 L396.9,73.2 L398.7,76.42 L400.5,79.83 L402.3,83.29 L404.2,86.69 L406,89.92 L407.8,92.86 L409.6,95.43 L411.4,97.56 L413.2,99.17 L415,100.2 L416.8,100.7 L418.6,100.6 L420.4,99.85 L422.2,98.55 L424,96.71 L425.8,94.39 L427.7,91.65 L429.5,88.58 L431.3,85.26 L433.1,81.82 L434.9,78.37 L436.7,75.02 L438.5,71.92 L440.3,69.16 L442.1,66.86 L443.9,65.12 L445.7,64 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(0,100,0)" stroke-width="1"><path d="M84.2,147.5 L86.01,151.4 L87.82,154.4 L89.62,156.4 L91.43,157.4 L93.24,157.3 L95.05,156.3 L96.85,154.2 L98.66,151.1 L100.5,147 L102.3,142.1 L104.1,136.4 L105.9,129.9 L107.7,122.9 L109.5,115.4 L111.3,107.7 L113.1,99.88 L114.9,92.27 L116.7,85.08 L118.5,78.57 L120.4,72.98 L122.2,68.54 L124,65.43 L125.8,63.79 L127.6,63.7 L129.4,65.15 L131.2,68.09 L133,72.38 L134.8,77.84 L136.6,84.25 L138.4,91.37 L140.2,98.94 L142,106.7 L143.9,114.5 L145.7,122 L147.5,129.1 L149.3,135.6 L151.1,141.5 L152.9,146.5 L154.7,150.6 L156.5,153.8 L158.3,156.1 L160.1,157.3 L161.9,157.4 L163.7,156.6 L165.5,154.7 L167.4,151.8 L169.2,148 L171,143.3 L172.8,137.7 L174.6,131.4 L176.4,124.5 L178.2,117.1 L180,109.4 L181.8,101.6 L183.6,93.91 L185.4,86.61 L187.2,79.93 L189,74.12 L190.9,69.41 L192.7,65.99 L194.5,64.02 L196.3,63.59 L198.1,64.7 L199.9,67.32 L201.7,71.33 L203.5,76.55 L205.3,82.78 L207.1,89.76 L208.9,97.25 L210.7,105 L212.5,112.8 L214.4,120.4 L216.2,127.6 L218,134.2 L219.8,140.2 L221.6,145.5 L223.4,149.8 L225.2,153.2 L227,155.7 L228.8,157.1 L230.6,157.5 L232.4,156.9 L234.2,155.2 L236,152.5 L237.8,148.9 L239.7,144.4 L241.5,139 L243.3,132.8 L245.1,126 L246.9,118.7 L248.7,111.1 L250.5,103.3 L252.3,95.57 L254.1,88.17 L255.9,81.33 L257.7,75.31 L259.5,70.34 L261.3,66.62 L263.2,64.33 L265,63.55 L266.8,64.33 L268.6,66.62 L270.4,70.34 L272.2,75.31 L274,81.33 L275.8,88.17 L277.6,95.57 L279.4,103.3 L281.2,111.1 L283,118.7 L284.8,126 L286.7,132.8 L288.5,139 L290.3,144.4 L292.1,148.9 L293.9,152.5 L295.7,155.2 L297.5,156.9 L299.3,157.5 L301.1,157.1 L302.9,155.7 L304.7,153.2 L306.5,149.8 L308.3,145.5 L310.2,140.2 L312,134.2 L313.8,127.6 L315.6,120.4 L317.4,112.8 L319.2,105 L321,97.25 L322.8,89.76 L324.6,82.78 L326.4,76.55 L328.2,71.33 L330,67.32 L331.8,64.7 L333.7,63.59 L335.5,64.02 L337.3,65.99 L339.1,69.41 L340.9,74.12 L342.7,79.93 L344.5,86.61 L346.3,93.91 L348.1,101.6 L349.9,109.4 L351.7,117.1 L353.5,124.5 L355.3,131.4 L357.2,137.7 L359,143.3 L360.8,148 L362.6,151.8 L364.4,154.7 L366.2,156.6 L368,157.4 L369.8,157.3 L371.6,156.1 L373.4,153.8 L375.2,150.6 L377,146.5 L378.8,141.5 L380.7,135.6 L382.5,129.1 L384.3,122 L386.1,114.5 L387.9,106.7 L389.7,98.94 L391.5,91.37 L393.3,84.25 L395.1,77.84 L396.9,72.38 L398.7,68.09 L400.5,65.15 L402.3,63.7 L404.2,63.79 L406,65.43 L407.8,68.54 L409.6,72.98 L411.4,78.57 L413.2,85.08 L415,92.27 L416.8,99.88 L418.6,107.7 L420.4,115.4 L422.2,122.9 L424,129.9 L425.8,136.4 L427.7,142.1 L429.5,147 L431.3,151.1 L433.1,154.2 L434.9,156.3 L436.7,157.3 L438.5,157.4 L440.3,156.4 L442.1,154.4 L443.9,151.4 L445.7,147.5 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(255,140,0)" stroke-width="1"><path d="M84.2,78.96 L86.01,87.93 L87.82,98.33 L89.62,109.8 L91.43,121.9 L93.24,134.4 L95.05,146.9 L96.85,159.1 L98.66,171 L100.5,182.2 L102.3,192.8 L104.1,202.5 L105.9,211.5 L107.7,219.6 L109.5,226.8 L111.3,233.1 L113.1,238.6 L114.9,243.3 L116.7,247.1 L118.5,250.1 L120.4,252.3 L122.2,253.7 L124,254.3 L125.8,254.2 L127.6,253.3 L129.4,251.5 L131.2,249 L133,245.7 L134.8,241.5 L136.6,236.5 L138.4,230.7 L140.2,224 L142,216.4 L143.9,208 L145.7,198.7 L147.5,188.6 L149.3,177.8 L151.1,166.3 L152.9,154.2 L154.7,141.9 L156.5,129.4 L158.3,117 L160.1,105.1 L161.9,94.02 L163.7,84.14 L165.5,75.85 L167.4,69.49 L169.2,65.34 L171,63.6 L172.8,64.35 L174.6,67.55 L176.4,73.06 L178.2,80.62 L180,89.91 L181.8,100.5 L183.6,112.2 L185.4,124.4 L187.2,136.9 L189,149.3 L190.9,161.5 L192.7,173.3 L194.5,184.4 L196.3,194.8 L198.1,204.4 L199.9,213.1 L201.7,221.1 L203.5,228.1 L205.3,234.3 L207.1,239.6 L208.9,244.1 L210.7,247.8 L212.5,250.6 L214.4,252.7 L216.2,253.9 L218,254.4 L219.8,254.1 L221.6,253 L223.4,251.1 L225.2,248.4 L227,244.9 L228.8,240.6 L230.6,235.4 L232.4,229.4 L234.2,222.5 L236,214.8 L237.8,206.2 L239.7,196.8 L241.5,186.5 L243.3,175.5 L245.1,163.9 L246.9,151.8 L248.7,139.4 L250.5,126.9 L252.3,114.6 L254.1,102.8 L255.9,91.93 L257.7,82.35 L259.5,74.42 L261.3,68.48 L263.2,64.8 L265,63.55 L266.8,64.8 L268.6,68.48 L270.4,74.42 L272.2,82.35 L274,91.93 L275.8,102.8 L277.6,114.6 L279.4,126.9 L281.2,139.4 L283,151.8 L284.8,163.9 L286.7,175.5 L288.5,186.5 L290.3,196.8 L292.1,206.2 L293.9,214.8 L295.7,222.5 L297.5,229.4 L299.3,235.4 L301.1,240.6 L302.9,244.9 L304.7,248.4 L306.5,251.1 L308.3,253 L310.2,254.1 L312,254.4 L313.8,253.9 L315.6,252.7 L317.4,250.6 L319.2,247.8 L321,244.1 L322.8,239.6 L324.6,234.3 L326.4,228.1 L328.2,221.1 L330,213.1 L331.8,204.4 L333.7,194.8 L335.5,184.4 L337.3,173.3 L339.1,161.5 L340.9,149.3 L342.7,136.9 L344.5,124.4 L346.3,112.2 L348.1,100.5 L349.9,89.91 L351.7,80.62 L353.5,73.06 L355.3,67.55 L357.2,64.35 L359,63.6 L360.8,65.34 L362.6,69.49 L364.4,75.85 L366.2,84.14 L368,94.02 L369.8,105.1 L371.6,117 L373.4,129.4 L375.2,141.9 L377,154.2 L378.8,166.3 L380.7,177.8 L382.5,188.6 L384.3,198.7 L386.1,208 L387.9,216.4 L389.7,224 L391.5,230.7 L393.3,236.5 L395.1,241.5 L396.9,245.7 L398.7,249 L400.5,251.5 L402.3,253.3 L404.2,254.2 L406,254.3 L407.8,253.7 L409.6,252.3 L411.4,250.1 L413.2,247.1 L415,243.3 L416.8,238.6 L418.6,233.1 L420.4,226.8 L422.2,219.6 L424,211.5 L425.8,202.5 L427.7,192.8 L429.5,182.2 L431.3,171 L433.1,159.1 L434.9,146.9 L436.7,134.4 L438.5,121.9 L440.3,109.8 L442.1,98.33 L443.9,87.93 L445.7,78.96 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(127,255,0)" stroke-width="1"><path d="M84.2,341 L86.01,341 L87.82,341 L89.62,341 L91.43,341 L93.24,341 L95.05,341 L96.85,341 L98.66,341 L100.5,341 L102.3,341 L104.1,340.9 L105.9,340.9 L107.7,340.9 L109.5,340.9 L111.3,340.9 L113.1,340.9 L114.9,340.9 L116.7,340.9 L118.5,340.9 L120.4,340.8 L122.2,340.8 L124,340.8 L125.8,340.8 L127.6,340.7 L129.4,340.7 L131.2,340.7 L133,340.7 L134.8,340.6 L136.6,340.6 L138.4,340.5 L140.2,340.5 L142,340.4 L143.9,340.3 L145.7,340.3 L147.5,340.2 L149.3,340.1 L151.1,340 L152.9,339.9 L154.7,339.8 L156.5,339.6 L158.3,339.5 L160.1,339.3 L161.9,339.2 L163.7,339 L165.5,338.8 L167.4,338.5 L169.2,338.3 L171,338 L172.8,337.6 L174.6,337.3 L176.4,336.9 L178.2,336.5 L180,336 L181.8,335.4 L183.6,334.9 L185.4,334.2 L187.2,333.5 L189,332.7 L190.9,331.8 L192.7,330.9 L194.5,329.8 L196.3,328.6 L198.1,327.3 L199.9,325.9 L201.7,324.3 L203.5,322.5 L205.3,320.6 L207.1,318.4 L208.9,316.1 L210.7,313.5 L212.5,310.6 L214.4,307.4 L216.2,303.9 L218,300 L219.8,295.8 L221.6,291.1 L223.4,285.9 L225.2,280.3 L227,274.1 L228.8,267.3 L230.6,259.8 L232.4,251.7 L234.2,242.9 L236,233.4 L237.8,223.1 L239.7,212 L241.5,200.2 L243.3,187.8 L245.1,174.7 L246.9,161.2 L248.7,147.4 L250.5,133.6 L252.3,120 L254.1,107 L255.9,94.95 L257.7,84.36 L259.5,75.58 L261.3,69.01 L263.2,64.93 L265,63.55 L266.8,64.93 L268.6,69.01 L270.4,75.58 L272.2,84.36 L274,94.95 L275.8,107 L277.6,120 L279.4,133.6 L281.2,147.4 L283,161.2 L284.8,174.7 L286.7,187.8 L288.5,200.2 L290.3,212 L292.1,223.1 L293.9,233.4 L295.7,242.9 L297.5,251.7 L299.3,259.8 L301.1,267.3 L302.9,274.1 L304.7,280.3 L306.5,285.9 L308.3,291.1 L310.2,295.8 L312,300 L313.8,303.9 L315.6,307.4 L317.4,310.6 L319.2,313.5 L321,316.1 L322.8,318.4 L324.6,320.6 L326.4,322.5 L328.2,324.3 L330,325.9 L331.8,327.3 L333.7,328.6 L335.5,329.8 L337.3,330.9 L339.1,331.8 L340.9,332.7 L342.7,333.5 L344.5,334.2 L346.3,334.9 L348.1,335.4 L349.9,336 L351.7,336.5 L353.5,336.9 L355.3,337.3 L357.2,337.6 L359,338 L360.8,338.3 L362.6,338.5 L364.4,338.8 L366.2,339 L368,339.2 L369.8,339.3 L371.6,339.5 L373.4,339.6 L375.2,339.8 L377,339.9 L378.8,340 L380.7,340.1 L382.5,340.2 L384.3,340.3 L386.1,340.3 L387.9,340.4 L389.7,340.5 L391.5,340.5 L393.3,340.6 L395.1,340.6 L396.9,340.7 L398.7,340.7 L400.5,340.7 L402.3,340.7 L404.2,340.8 L406,340.8 L407.8,340.8 L409.6,340.8 L411.4,340.9 L413.2,340.9 L415,340.9 L416.8,340.9 L418.6,340.9 L420.4,340.9 L422.2,340.9 L424,340.9 L425.8,340.9 L427.7,341 L429.5,341 L431.3,341 L433.1,341 L434.9,341 L436.7,341 L438.5,341 L440.3,341 L442.1,341 L443.9,341 L445.7,341 " fill="none"/></g>
</g>
<g id="plotPoints" clip-path="url(#plot_window)"></g>
<g id="legendBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="1"><rect x="467" y="58" width="107" height="154"/><rect x="467" y="58" width="107" height="154"/></g>
<g id="legendPoints"><g stroke="rgb(0,0,139)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="86" x2="495" y2="86"/></g>
<g stroke="rgb(139,0,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="114" x2="495" y2="114"/></g>
<g stroke="rgb(0,100,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="142" x2="495" y2="142"/></g>
<g stroke="rgb(255,140,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="170" x2="495" y2="170"/></g>
<g stroke="rgb(127,255,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="198" x2="495" y2="198"/></g>
</g>
<g id="legendText">
<text x="502" y="86" font-size="14" font-family="Verdana">k=0</text>
<text x="502" y="114" font-size="14" font-family="Verdana">k=0.5</text>
<text x="502" y="142" font-size="14" font-family="Verdana">k=0.75</text>
<text x="502" y="170" font-size="14" font-family="Verdana">k=0.95</text>
<text x="502" y="198" font-size="14" font-family="Verdana">k=1</text></g>
<g id="title">
<text x="300" y="40" text-anchor="middle" font-size="20" font-family="Verdana">Jacobi Elliptic dn</text></g>
<g id="plotXValues"></g>
<g id="plotYValues"></g>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 20 KiB

BIN
doc/sf_and_dist/graphs/jacobi_ds.png Normal file
View File

Binary file not shown.
Side by Side

After

Width:  |  Height:  |  Size: 35 KiB

81
doc/sf_and_dist/graphs/jacobi_ds.svg Normal file
View File

@@ -0,0 +1,81 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<svg width="600" height ="400" version="1.1"
xmlns:svg ="http://www.w3.org/2000/svg"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cc="http://web.resource.org/cc/"
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns ="http://www.w3.org/2000/svg"
>
<!-- SVG plot written using Boost.Plot program (Creator Jacob Voytko) -->
<!-- Use, modification and distribution of Boost.Plot subject to the -->
<!-- Boost Software License, Version 1.0.-->
<!-- (See accompanying file LICENSE_1_0.txt -->
<!-- or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<!-- SVG Plot Copyright John Maddock 2008 -->
<meta name="copyright" content="John Maddock" />
<meta name="date" content="2008" />
<!-- Use, modification and distribution of this Scalable Vector Graphic file -->
<!-- are subject to the Boost Software License, Version 1.0. -->
<!-- (See accompanying file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<clipPath id="plot_window"><rect x="76.8" y="59" width="375.2" height="281"/></clipPath>
<g id="imageBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="0" y="0" width="600" height="400"/></g>
<g id="plotBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="75.8" y="58" width="377.2" height="283"/></g>
<g id="yMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="yMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="xMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="xMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="yAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="75.8" y1="58" x2="75.8" y2="341"/></g>
<g id="xAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="75.8" y1="341" x2="453" y2="341"/></g>
<g id="yMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M73.8,336.8 L75.8,336.8 M73.8,329.8 L75.8,329.8 M73.8,322.8 L75.8,322.8 M73.8,308.8 L75.8,308.8 M73.8,301.8 L75.8,301.8 M73.8,294.8 L75.8,294.8 M73.8,280.8 L75.8,280.8 M73.8,273.8 L75.8,273.8 M73.8,266.9 L75.8,266.9 M73.8,252.9 L75.8,252.9 M73.8,245.9 L75.8,245.9 M73.8,238.9 L75.8,238.9 M73.8,224.9 L75.8,224.9 M73.8,217.9 L75.8,217.9 M73.8,210.9 L75.8,210.9 M73.8,196.9 L75.8,196.9 M73.8,189.9 L75.8,189.9 M73.8,182.9 L75.8,182.9 M73.8,168.9 L75.8,168.9 M73.8,161.9 L75.8,161.9 M73.8,154.9 L75.8,154.9 M73.8,141 L75.8,141 M73.8,134 L75.8,134 M73.8,127 L75.8,127 M73.8,113 L75.8,113 M73.8,106 L75.8,106 M73.8,98.99 L75.8,98.99 M73.8,85 L75.8,85 M73.8,78 L75.8,78 M73.8,71.01 L75.8,71.01 " fill="none"/></g>
<g id="xMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M78.99,341 L78.99,343 M94.93,341 L94.93,343 M110.9,341 L110.9,343 M142.7,341 L142.7,343 M158.7,341 L158.7,343 M174.6,341 L174.6,343 M206.5,341 L206.5,343 M222.4,341 L222.4,343 M238.4,341 L238.4,343 M270.2,341 L270.2,343 M286.2,341 L286.2,343 M302.1,341 L302.1,343 M334,341 L334,343 M349.9,341 L349.9,343 M365.9,341 L365.9,343 M397.8,341 L397.8,343 M413.7,341 L413.7,343 M429.6,341 L429.6,343 " fill="none"/></g>
<g id="yMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M70.8,315.8 L75.8,315.8 M70.8,287.8 L75.8,287.8 M70.8,259.9 L75.8,259.9 M70.8,231.9 L75.8,231.9 M70.8,203.9 L75.8,203.9 M70.8,175.9 L75.8,175.9 M70.8,147.9 L75.8,147.9 M70.8,120 L75.8,120 M70.8,91.99 L75.8,91.99 M70.8,64.02 L75.8,64.02 " fill="none"/></g>
<g id="xMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M126.8,341 L126.8,346 M190.6,341 L190.6,346 M254.3,341 L254.3,346 M318.1,341 L318.1,346 M381.8,341 L381.8,346 M445.6,341 L445.6,346 " fill="none"/></g>
<g id="xTicksValues">
<text x="126.8" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">0.5</text>
<text x="190.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">1</text>
<text x="254.3" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">1.5</text>
<text x="318.1" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">2</text>
<text x="381.8" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">2.5</text>
<text x="445.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">3</text></g>
<g id="yTicksValues">
<text x="64.8" y="318.2" text-anchor="end" font-size="12" font-family="Verdana">1</text>
<text x="64.8" y="290.2" text-anchor="end" font-size="12" font-family="Verdana">2</text>
<text x="64.8" y="262.3" text-anchor="end" font-size="12" font-family="Verdana">3</text>
<text x="64.8" y="234.3" text-anchor="end" font-size="12" font-family="Verdana">4</text>
<text x="64.8" y="206.3" text-anchor="end" font-size="12" font-family="Verdana">5</text>
<text x="64.8" y="178.3" text-anchor="end" font-size="12" font-family="Verdana">6</text>
<text x="64.8" y="150.3" text-anchor="end" font-size="12" font-family="Verdana">7</text>
<text x="64.8" y="122.4" text-anchor="end" font-size="12" font-family="Verdana">8</text>
<text x="64.8" y="94.39" text-anchor="end" font-size="12" font-family="Verdana">9</text>
<text x="64.8" y="66.42" text-anchor="end" font-size="12" font-family="Verdana">10</text></g>
<g id="yLabel">
<text x="42.9" y="199.5" text-anchor="middle" transform = "rotate(-90 42.9 199.5 )" font-size="14" font-family="Verdana">jacobi_ds(k, u)</text></g>
<g id="xLabel">
<text x="264.4" y="376.7" text-anchor="middle" font-size="14" font-family="Verdana">k</text></g>
<g id="plotLines" stroke-width="2"><g clip-path="url(#plot_window)" stroke="rgb(0,0,139)" stroke-width="1"><path d="M75.8,63.55 L77.65,98.91 L79.5,126.3 L81.35,148.2 L83.2,166 L85.04,180.8 L86.89,193.3 L88.74,204 L90.59,213.3 L92.44,221.3 L94.29,228.4 L96.14,234.8 L97.99,240.4 L99.83,245.5 L101.7,250 L103.5,254.2 L105.4,258 L107.2,261.4 L109.1,264.6 L110.9,267.5 L112.8,270.2 L114.6,272.7 L116.5,275 L118.3,277.2 L120.2,279.2 L122,281.1 L123.9,282.9 L125.7,284.5 L127.6,286.1 L129.4,287.5 L131.3,288.9 L133.1,290.2 L135,291.5 L136.8,292.6 L138.7,293.7 L140.5,294.8 L142.4,295.8 L144.2,296.7 L146.1,297.6 L147.9,298.5 L149.8,299.3 L151.6,300.1 L153.5,300.8 L155.3,301.5 L157.1,302.2 L159,302.9 L160.8,303.5 L162.7,304.1 L164.5,304.6 L166.4,305.2 L168.2,305.7 L170.1,306.2 L171.9,306.7 L173.8,307.1 L175.6,307.6 L177.5,308 L179.3,308.4 L181.2,308.8 L183,309.2 L184.9,309.5 L186.7,309.9 L188.6,310.2 L190.4,310.5 L192.3,310.8 L194.1,311.1 L196,311.4 L197.8,311.7 L199.7,311.9 L201.5,312.2 L203.4,312.4 L205.2,312.6 L207.1,312.9 L208.9,313.1 L210.8,313.3 L212.6,313.4 L214.5,313.6 L216.3,313.8 L218.2,314 L220,314.1 L221.9,314.3 L223.7,314.4 L225.6,314.5 L227.4,314.7 L229.3,314.8 L231.1,314.9 L232.9,315 L234.8,315.1 L236.6,315.2 L238.5,315.3 L240.3,315.4 L242.2,315.4 L244,315.5 L245.9,315.6 L247.7,315.6 L249.6,315.7 L251.4,315.7 L253.3,315.7 L255.1,315.8 L257,315.8 L258.8,315.8 L260.7,315.8 L262.5,315.8 L264.4,315.8 L266.2,315.8 L268.1,315.8 L269.9,315.8 L271.8,315.8 L273.6,315.7 L275.5,315.7 L277.3,315.6 L279.2,315.6 L281,315.5 L282.9,315.5 L284.7,315.4 L286.6,315.3 L288.4,315.3 L290.3,315.2 L292.1,315.1 L294,315 L295.8,314.9 L297.7,314.8 L299.5,314.7 L301.4,314.5 L303.2,314.4 L305.1,314.2 L306.9,314.1 L308.8,313.9 L310.6,313.8 L312.4,313.6 L314.3,313.4 L316.1,313.2 L318,313 L319.8,312.8 L321.7,312.6 L323.5,312.4 L325.4,312.1 L327.2,311.9 L329.1,311.6 L330.9,311.4 L332.8,311.1 L334.6,310.8 L336.5,310.5 L338.3,310.2 L340.2,309.8 L342,309.5 L343.9,309.1 L345.7,308.7 L347.6,308.4 L349.4,308 L351.3,307.5 L353.1,307.1 L355,306.6 L356.8,306.1 L358.7,305.6 L360.5,305.1 L362.4,304.6 L364.2,304 L366.1,303.4 L367.9,302.8 L369.8,302.1 L371.6,301.4 L373.5,300.7 L375.3,300 L377.2,299.2 L379,298.4 L380.9,297.5 L382.7,296.6 L384.6,295.6 L386.4,294.6 L388.3,293.6 L390.1,292.5 L391.9,291.3 L393.8,290.1 L395.6,288.7 L397.5,287.3 L399.3,285.9 L401.2,284.3 L403,282.6 L404.9,280.8 L406.7,278.9 L408.6,276.9 L410.4,274.7 L412.3,272.4 L414.1,269.9 L416,267.1 L417.8,264.2 L419.7,261 L421.5,257.5 L423.4,253.7 L425.2,249.5 L427.1,244.8 L428.9,239.7 L430.8,234 L432.6,227.6 L434.5,220.3 L436.3,212.1 L438.2,202.7 L440,191.8 L441.9,179 L443.7,163.8 L445.6,145.5 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(139,0,0)" stroke-width="1"><path d="M75.8,63.78 L77.65,99.18 L79.5,126.6 L81.35,148.5 L83.2,166.3 L85.04,181.2 L86.89,193.7 L88.74,204.5 L90.59,213.8 L92.44,221.9 L94.29,229 L96.14,235.4 L97.99,241 L99.83,246.1 L101.7,250.7 L103.5,254.9 L105.4,258.7 L107.2,262.2 L109.1,265.4 L110.9,268.4 L112.8,271.1 L114.6,273.6 L116.5,276 L118.3,278.2 L120.2,280.2 L122,282.2 L123.9,284 L125.7,285.6 L127.6,287.2 L129.4,288.7 L131.3,290.1 L133.1,291.5 L135,292.8 L136.8,294 L138.7,295.1 L140.5,296.2 L142.4,297.2 L144.2,298.2 L146.1,299.1 L147.9,300 L149.8,300.9 L151.6,301.7 L153.5,302.4 L155.3,303.2 L157.1,303.9 L159,304.6 L160.8,305.2 L162.7,305.8 L164.5,306.4 L166.4,307 L168.2,307.6 L170.1,308.1 L171.9,308.6 L173.8,309.1 L175.6,309.6 L177.5,310 L179.3,310.5 L181.2,310.9 L183,311.3 L184.9,311.7 L186.7,312.1 L188.6,312.4 L190.4,312.8 L192.3,313.1 L194.1,313.4 L196,313.7 L197.8,314 L199.7,314.3 L201.5,314.6 L203.4,314.9 L205.2,315.1 L207.1,315.4 L208.9,315.6 L210.8,315.8 L212.6,316.1 L214.5,316.3 L216.3,316.5 L218.2,316.7 L220,316.9 L221.9,317.1 L223.7,317.2 L225.6,317.4 L227.4,317.6 L229.3,317.7 L231.1,317.8 L232.9,318 L234.8,318.1 L236.6,318.2 L238.5,318.4 L240.3,318.5 L242.2,318.6 L244,318.7 L245.9,318.8 L247.7,318.9 L249.6,319 L251.4,319 L253.3,319.1 L255.1,319.2 L257,319.2 L258.8,319.3 L260.7,319.3 L262.5,319.4 L264.4,319.4 L266.2,319.5 L268.1,319.5 L269.9,319.5 L271.8,319.5 L273.6,319.5 L275.5,319.6 L277.3,319.6 L279.2,319.6 L281,319.6 L282.9,319.5 L284.7,319.5 L286.6,319.5 L288.4,319.5 L290.3,319.5 L292.1,319.4 L294,319.4 L295.8,319.3 L297.7,319.3 L299.5,319.2 L301.4,319.2 L303.2,319.1 L305.1,319 L306.9,318.9 L308.8,318.8 L310.6,318.8 L312.4,318.7 L314.3,318.6 L316.1,318.4 L318,318.3 L319.8,318.2 L321.7,318.1 L323.5,317.9 L325.4,317.8 L327.2,317.7 L329.1,317.5 L330.9,317.3 L332.8,317.2 L334.6,317 L336.5,316.8 L338.3,316.6 L340.2,316.4 L342,316.2 L343.9,316 L345.7,315.8 L347.6,315.6 L349.4,315.3 L351.3,315.1 L353.1,314.8 L355,314.5 L356.8,314.2 L358.7,314 L360.5,313.7 L362.4,313.3 L364.2,313 L366.1,312.7 L367.9,312.3 L369.8,312 L371.6,311.6 L373.5,311.2 L375.3,310.8 L377.2,310.4 L379,309.9 L380.9,309.5 L382.7,309 L384.6,308.5 L386.4,308 L388.3,307.4 L390.1,306.9 L391.9,306.3 L393.8,305.7 L395.6,305 L397.5,304.4 L399.3,303.7 L401.2,303 L403,302.2 L404.9,301.4 L406.7,300.6 L408.6,299.8 L410.4,298.9 L412.3,297.9 L414.1,296.9 L416,295.9 L417.8,294.8 L419.7,293.6 L421.5,292.4 L423.4,291.1 L425.2,289.8 L427.1,288.3 L428.9,286.8 L430.8,285.2 L432.6,283.5 L434.5,281.6 L436.3,279.7 L438.2,277.6 L440,275.4 L441.9,273 L443.7,270.4 L445.6,267.6 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(0,100,0)" stroke-width="1"><path d="M75.8,64.07 L77.65,99.51 L79.5,127 L81.35,148.9 L83.2,166.8 L85.04,181.7 L86.89,194.3 L88.74,205.1 L90.59,214.4 L92.44,222.5 L94.29,229.7 L96.14,236.1 L97.99,241.8 L99.83,247 L101.7,251.6 L103.5,255.8 L105.4,259.7 L107.2,263.2 L109.1,266.5 L110.9,269.5 L112.8,272.2 L114.6,274.8 L116.5,277.2 L118.3,279.4 L120.2,281.5 L122,283.5 L123.9,285.3 L125.7,287.1 L127.6,288.7 L129.4,290.2 L131.3,291.7 L133.1,293.1 L135,294.4 L136.8,295.6 L138.7,296.8 L140.5,297.9 L142.4,299 L144.2,300 L146.1,301 L147.9,301.9 L149.8,302.8 L151.6,303.7 L153.5,304.5 L155.3,305.3 L157.1,306 L159,306.8 L160.8,307.4 L162.7,308.1 L164.5,308.8 L166.4,309.4 L168.2,310 L170.1,310.5 L171.9,311.1 L173.8,311.6 L175.6,312.1 L177.5,312.6 L179.3,313.1 L181.2,313.6 L183,314 L184.9,314.5 L186.7,314.9 L188.6,315.3 L190.4,315.7 L192.3,316.1 L194.1,316.4 L196,316.8 L197.8,317.1 L199.7,317.5 L201.5,317.8 L203.4,318.1 L205.2,318.4 L207.1,318.7 L208.9,319 L210.8,319.2 L212.6,319.5 L214.5,319.8 L216.3,320 L218.2,320.3 L220,320.5 L221.9,320.7 L223.7,320.9 L225.6,321.1 L227.4,321.4 L229.3,321.6 L231.1,321.7 L232.9,321.9 L234.8,322.1 L236.6,322.3 L238.5,322.5 L240.3,322.6 L242.2,322.8 L244,322.9 L245.9,323.1 L247.7,323.2 L249.6,323.3 L251.4,323.5 L253.3,323.6 L255.1,323.7 L257,323.8 L258.8,323.9 L260.7,324 L262.5,324.1 L264.4,324.2 L266.2,324.3 L268.1,324.4 L269.9,324.5 L271.8,324.6 L273.6,324.7 L275.5,324.7 L277.3,324.8 L279.2,324.9 L281,324.9 L282.9,325 L284.7,325 L286.6,325.1 L288.4,325.1 L290.3,325.1 L292.1,325.2 L294,325.2 L295.8,325.2 L297.7,325.2 L299.5,325.3 L301.4,325.3 L303.2,325.3 L305.1,325.3 L306.9,325.3 L308.8,325.3 L310.6,325.3 L312.4,325.3 L314.3,325.3 L316.1,325.2 L318,325.2 L319.8,325.2 L321.7,325.2 L323.5,325.1 L325.4,325.1 L327.2,325 L329.1,325 L330.9,325 L332.8,324.9 L334.6,324.8 L336.5,324.8 L338.3,324.7 L340.2,324.6 L342,324.6 L343.9,324.5 L345.7,324.4 L347.6,324.3 L349.4,324.2 L351.3,324.1 L353.1,324 L355,323.9 L356.8,323.8 L358.7,323.7 L360.5,323.6 L362.4,323.4 L364.2,323.3 L366.1,323.2 L367.9,323 L369.8,322.9 L371.6,322.7 L373.5,322.6 L375.3,322.4 L377.2,322.2 L379,322.1 L380.9,321.9 L382.7,321.7 L384.6,321.5 L386.4,321.3 L388.3,321.1 L390.1,320.9 L391.9,320.7 L393.8,320.4 L395.6,320.2 L397.5,320 L399.3,319.7 L401.2,319.5 L403,319.2 L404.9,318.9 L406.7,318.6 L408.6,318.3 L410.4,318 L412.3,317.7 L414.1,317.4 L416,317.1 L417.8,316.7 L419.7,316.3 L421.5,316 L423.4,315.6 L425.2,315.2 L427.1,314.8 L428.9,314.4 L430.8,313.9 L432.6,313.5 L434.5,313 L436.3,312.5 L438.2,312 L440,311.5 L441.9,311 L443.7,310.4 L445.6,309.8 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(255,140,0)" stroke-width="1"><path d="M75.8,64.39 L77.65,99.88 L79.5,127.4 L81.35,149.4 L83.2,167.3 L85.04,182.2 L86.89,194.9 L88.74,205.7 L90.59,215.1 L92.44,223.3 L94.29,230.5 L96.14,236.9 L97.99,242.7 L99.83,247.9 L101.7,252.6 L103.5,256.8 L105.4,260.7 L107.2,264.3 L109.1,267.6 L110.9,270.7 L112.8,273.5 L114.6,276.1 L116.5,278.5 L118.3,280.8 L120.2,283 L122,285 L123.9,286.9 L125.7,288.6 L127.6,290.3 L129.4,291.9 L131.3,293.4 L133.1,294.8 L135,296.2 L136.8,297.5 L138.7,298.7 L140.5,299.9 L142.4,301 L144.2,302.1 L146.1,303.1 L147.9,304.1 L149.8,305 L151.6,305.9 L153.5,306.8 L155.3,307.6 L157.1,308.4 L159,309.2 L160.8,309.9 L162.7,310.7 L164.5,311.3 L166.4,312 L168.2,312.7 L170.1,313.3 L171.9,313.9 L173.8,314.5 L175.6,315 L177.5,315.6 L179.3,316.1 L181.2,316.6 L183,317.1 L184.9,317.6 L186.7,318.1 L188.6,318.5 L190.4,319 L192.3,319.4 L194.1,319.8 L196,320.2 L197.8,320.6 L199.7,321 L201.5,321.4 L203.4,321.8 L205.2,322.1 L207.1,322.5 L208.9,322.8 L210.8,323.1 L212.6,323.5 L214.5,323.8 L216.3,324.1 L218.2,324.4 L220,324.7 L221.9,325 L223.7,325.2 L225.6,325.5 L227.4,325.8 L229.3,326 L231.1,326.3 L232.9,326.5 L234.8,326.8 L236.6,327 L238.5,327.2 L240.3,327.5 L242.2,327.7 L244,327.9 L245.9,328.1 L247.7,328.3 L249.6,328.5 L251.4,328.7 L253.3,328.9 L255.1,329.1 L257,329.3 L258.8,329.5 L260.7,329.6 L262.5,329.8 L264.4,330 L266.2,330.1 L268.1,330.3 L269.9,330.5 L271.8,330.6 L273.6,330.8 L275.5,330.9 L277.3,331.1 L279.2,331.2 L281,331.3 L282.9,331.5 L284.7,331.6 L286.6,331.7 L288.4,331.8 L290.3,332 L292.1,332.1 L294,332.2 L295.8,332.3 L297.7,332.4 L299.5,332.5 L301.4,332.6 L303.2,332.7 L305.1,332.8 L306.9,332.9 L308.8,333 L310.6,333.1 L312.4,333.2 L314.3,333.3 L316.1,333.4 L318,333.5 L319.8,333.5 L321.7,333.6 L323.5,333.7 L325.4,333.8 L327.2,333.8 L329.1,333.9 L330.9,334 L332.8,334 L334.6,334.1 L336.5,334.2 L338.3,334.2 L340.2,334.3 L342,334.3 L343.9,334.4 L345.7,334.4 L347.6,334.5 L349.4,334.5 L351.3,334.6 L353.1,334.6 L355,334.7 L356.8,334.7 L358.7,334.7 L360.5,334.8 L362.4,334.8 L364.2,334.8 L366.1,334.9 L367.9,334.9 L369.8,334.9 L371.6,334.9 L373.5,335 L375.3,335 L377.2,335 L379,335 L380.9,335 L382.7,335 L384.6,335 L386.4,335 L388.3,335 L390.1,335.1 L391.9,335.1 L393.8,335.1 L395.6,335.1 L397.5,335.1 L399.3,335 L401.2,335 L403,335 L404.9,335 L406.7,335 L408.6,335 L410.4,335 L412.3,335 L414.1,334.9 L416,334.9 L417.8,334.9 L419.7,334.9 L421.5,334.8 L423.4,334.8 L425.2,334.8 L427.1,334.7 L428.9,334.7 L430.8,334.7 L432.6,334.6 L434.5,334.6 L436.3,334.6 L438.2,334.5 L440,334.5 L441.9,334.4 L443.7,334.4 L445.6,334.3 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(127,255,0)" stroke-width="1"><path d="M75.8,64.48 L77.65,99.98 L79.5,127.5 L81.35,149.5 L83.2,167.5 L85.04,182.4 L86.89,195 L88.74,205.9 L90.59,215.3 L92.44,223.5 L94.29,230.7 L96.14,237.2 L97.99,243 L99.83,248.1 L101.7,252.9 L103.5,257.1 L105.4,261.1 L107.2,264.6 L109.1,268 L110.9,271 L112.8,273.8 L114.6,276.5 L116.5,278.9 L118.3,281.2 L120.2,283.4 L122,285.4 L123.9,287.3 L125.7,289.1 L127.6,290.8 L129.4,292.4 L131.3,293.9 L133.1,295.4 L135,296.7 L136.8,298 L138.7,299.3 L140.5,300.5 L142.4,301.6 L144.2,302.7 L146.1,303.7 L147.9,304.7 L149.8,305.7 L151.6,306.6 L153.5,307.5 L155.3,308.3 L157.1,309.1 L159,309.9 L160.8,310.7 L162.7,311.4 L164.5,312.1 L166.4,312.8 L168.2,313.4 L170.1,314.1 L171.9,314.7 L173.8,315.3 L175.6,315.9 L177.5,316.4 L179.3,317 L181.2,317.5 L183,318 L184.9,318.5 L186.7,319 L188.6,319.5 L190.4,320 L192.3,320.4 L194.1,320.8 L196,321.3 L197.8,321.7 L199.7,322.1 L201.5,322.5 L203.4,322.9 L205.2,323.2 L207.1,323.6 L208.9,324 L210.8,324.3 L212.6,324.6 L214.5,325 L216.3,325.3 L218.2,325.6 L220,325.9 L221.9,326.2 L223.7,326.5 L225.6,326.8 L227.4,327.1 L229.3,327.4 L231.1,327.7 L232.9,327.9 L234.8,328.2 L236.6,328.4 L238.5,328.7 L240.3,328.9 L242.2,329.2 L244,329.4 L245.9,329.7 L247.7,329.9 L249.6,330.1 L251.4,330.3 L253.3,330.5 L255.1,330.7 L257,331 L258.8,331.2 L260.7,331.4 L262.5,331.6 L264.4,331.7 L266.2,331.9 L268.1,332.1 L269.9,332.3 L271.8,332.5 L273.6,332.7 L275.5,332.8 L277.3,333 L279.2,333.2 L281,333.3 L282.9,333.5 L284.7,333.6 L286.6,333.8 L288.4,334 L290.3,334.1 L292.1,334.2 L294,334.4 L295.8,334.5 L297.7,334.7 L299.5,334.8 L301.4,334.9 L303.2,335.1 L305.1,335.2 L306.9,335.3 L308.8,335.5 L310.6,335.6 L312.4,335.7 L314.3,335.8 L316.1,336 L318,336.1 L319.8,336.2 L321.7,336.3 L323.5,336.4 L325.4,336.5 L327.2,336.6 L329.1,336.7 L330.9,336.8 L332.8,336.9 L334.6,337 L336.5,337.1 L338.3,337.2 L340.2,337.3 L342,337.4 L343.9,337.5 L345.7,337.6 L347.6,337.7 L349.4,337.8 L351.3,337.9 L353.1,338 L355,338.1 L356.8,338.1 L358.7,338.2 L360.5,338.3 L362.4,338.4 L364.2,338.5 L366.1,338.6 L367.9,338.6 L369.8,338.7 L371.6,338.8 L373.5,338.9 L375.3,338.9 L377.2,339 L379,339.1 L380.9,339.1 L382.7,339.2 L384.6,339.3 L386.4,339.3 L388.3,339.4 L390.1,339.5 L391.9,339.5 L393.8,339.6 L395.6,339.6 L397.5,339.7 L399.3,339.8 L401.2,339.8 L403,339.9 L404.9,339.9 L406.7,340 L408.6,340.1 L410.4,340.1 L412.3,340.2 L414.1,340.2 L416,340.3 L417.8,340.3 L419.7,340.4 L421.5,340.4 L423.4,340.5 L425.2,340.5 L427.1,340.6 L428.9,340.6 L430.8,340.7 L432.6,340.7 L434.5,340.7 L436.3,340.8 L438.2,340.8 L440,340.9 L441.9,340.9 L443.7,341 L445.6,341 " fill="none"/></g>
</g>
<g id="plotPoints" clip-path="url(#plot_window)"></g>
<g id="legendBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="1"><rect x="467" y="58" width="107" height="154"/><rect x="467" y="58" width="107" height="154"/></g>
<g id="legendPoints"><g stroke="rgb(0,0,139)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="86" x2="495" y2="86"/></g>
<g stroke="rgb(139,0,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="114" x2="495" y2="114"/></g>
<g stroke="rgb(0,100,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="142" x2="495" y2="142"/></g>
<g stroke="rgb(255,140,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="170" x2="495" y2="170"/></g>
<g stroke="rgb(127,255,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="198" x2="495" y2="198"/></g>
</g>
<g id="legendText">
<text x="502" y="86" font-size="14" font-family="Verdana">k=0</text>
<text x="502" y="114" font-size="14" font-family="Verdana">k=0.5</text>
<text x="502" y="142" font-size="14" font-family="Verdana">k=0.75</text>
<text x="502" y="170" font-size="14" font-family="Verdana">k=0.95</text>
<text x="502" y="198" font-size="14" font-family="Verdana">k=1</text></g>
<g id="title">
<text x="300" y="40" text-anchor="middle" font-size="20" font-family="Verdana">Jacobi Elliptic ds</text></g>
<g id="plotXValues"></g>
<g id="plotYValues"></g>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 20 KiB

BIN
doc/sf_and_dist/graphs/jacobi_nc.png Normal file
View File

Binary file not shown.
Side by Side

After

Width:  |  Height:  |  Size: 37 KiB

83
doc/sf_and_dist/graphs/jacobi_nc.svg Normal file
View File

@@ -0,0 +1,83 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<svg width="600" height ="400" version="1.1"
xmlns:svg ="http://www.w3.org/2000/svg"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cc="http://web.resource.org/cc/"
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns ="http://www.w3.org/2000/svg"
>
<!-- SVG plot written using Boost.Plot program (Creator Jacob Voytko) -->
<!-- Use, modification and distribution of Boost.Plot subject to the -->
<!-- Boost Software License, Version 1.0.-->
<!-- (See accompanying file LICENSE_1_0.txt -->
<!-- or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<!-- SVG Plot Copyright John Maddock 2008 -->
<meta name="copyright" content="John Maddock" />
<meta name="date" content="2008" />
<!-- Use, modification and distribution of this Scalable Vector Graphic file -->
<!-- are subject to the Boost Software License, Version 1.0. -->
<!-- (See accompanying file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<clipPath id="plot_window"><rect x="93.6" y="59" width="358.4" height="281"/></clipPath>
<g id="imageBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="0" y="0" width="600" height="400"/></g>
<g id="plotBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="92.6" y="58" width="360.4" height="283"/></g>
<g id="yMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="yMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="xMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="xMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="yAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="269.2" y1="58" x2="269.2" y2="346"/><line x1="92.6" y1="58" x2="92.6" y2="341"/></g>
<g id="xAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="87.6" y1="146.9" x2="453" y2="146.9"/><line x1="87.6" y1="341" x2="453" y2="341"/></g>
<g id="yMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M90.6,131.7 L92.6,131.7 M90.6,116.6 L92.6,116.6 M90.6,101.4 L92.6,101.4 M90.6,71.16 L92.6,71.16 M90.6,146.9 L92.6,146.9 M90.6,162 L92.6,162 M90.6,177.1 L92.6,177.1 M90.6,192.3 L92.6,192.3 M90.6,207.4 L92.6,207.4 M90.6,222.5 L92.6,222.5 M90.6,237.7 L92.6,237.7 M90.6,252.8 L92.6,252.8 M90.6,268 L92.6,268 M90.6,283.1 L92.6,283.1 M90.6,298.2 L92.6,298.2 M90.6,313.4 L92.6,313.4 M90.6,328.5 L92.6,328.5 " fill="none"/></g>
<g id="xMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M278.1,341 L278.1,343 M286.9,341 L286.9,343 M295.7,341 L295.7,343 M313.4,341 L313.4,343 M322.2,341 L322.2,343 M331.1,341 L331.1,343 M348.7,341 L348.7,343 M357.6,341 L357.6,343 M366.4,341 L366.4,343 M384.1,341 L384.1,343 M392.9,341 L392.9,343 M401.7,341 L401.7,343 M419.4,341 L419.4,343 M428.2,341 L428.2,343 M437.1,341 L437.1,343 M260.4,341 L260.4,343 M251.6,341 L251.6,343 M242.8,341 L242.8,343 M225.1,341 L225.1,343 M216.3,341 L216.3,343 M207.4,341 L207.4,343 M189.8,341 L189.8,343 M180.9,341 L180.9,343 M172.1,341 L172.1,343 M154.4,341 L154.4,343 M145.6,341 L145.6,343 M136.8,341 L136.8,343 M119.1,341 L119.1,343 M110.3,341 L110.3,343 M101.4,341 L101.4,343 " fill="none"/></g>
<g id="yMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M87.6,146.9 L92.6,146.9 M87.6,86.3 L92.6,86.3 M87.6,146.9 L92.6,146.9 M87.6,207.4 L92.6,207.4 M87.6,268 L92.6,268 M87.6,328.5 L92.6,328.5 " fill="none"/></g>
<g id="xMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M269.2,341 L269.2,346 M304.6,341 L304.6,346 M339.9,341 L339.9,346 M375.2,341 L375.2,346 M410.6,341 L410.6,346 M445.9,341 L445.9,346 M269.2,341 L269.2,346 M233.9,341 L233.9,346 M198.6,341 L198.6,346 M163.3,341 L163.3,346 M127.9,341 L127.9,346 M92.6,341 L92.6,346 " fill="none"/></g>
<g id="xTicksValues">
<text x="269.2" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">0</text>
<text x="304.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">1</text>
<text x="339.9" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">2</text>
<text x="375.2" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">3</text>
<text x="410.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">4</text>
<text x="445.9" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">5</text>
<text x="269.2" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">0</text>
<text x="233.9" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-1</text>
<text x="198.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-2</text>
<text x="163.3" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-3</text>
<text x="127.9" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-4</text>
<text x="92.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-5</text></g>
<g id="yTicksValues">
<text x="81.6" y="149.3" text-anchor="end" font-size="12" font-family="Verdana">0</text>
<text x="81.6" y="88.7" text-anchor="end" font-size="12" font-family="Verdana">100</text>
<text x="81.6" y="149.3" text-anchor="end" font-size="12" font-family="Verdana">0</text>
<text x="81.6" y="209.8" text-anchor="end" font-size="12" font-family="Verdana">-100</text>
<text x="81.6" y="270.4" text-anchor="end" font-size="12" font-family="Verdana">-200</text>
<text x="81.6" y="330.9" text-anchor="end" font-size="12" font-family="Verdana">-300</text></g>
<g id="yLabel">
<text x="42.9" y="199.5" text-anchor="middle" transform = "rotate(-90 42.9 199.5 )" font-size="14" font-family="Verdana">jacobi_nc(k, u)</text></g>
<g id="xLabel">
<text x="272.8" y="376.7" text-anchor="middle" font-size="14" font-family="Verdana">k</text></g>
<g id="plotLines" stroke-width="2"><g clip-path="url(#plot_window)" stroke="rgb(0,0,139)" stroke-width="1"><path d="M92.6,144.7 L94.37,144.3 L96.13,143.6 L97.9,142.4 L99.67,139.9 L101.4,130.7 L103.2,195.7 L105,156.6 L106.7,152.3 L108.5,150.6 L110.3,149.7 L112,149.2 L113.8,148.8 L115.6,148.6 L117.3,148.4 L119.1,148.2 L120.9,148.1 L122.6,148 L124.4,147.9 L126.2,147.8 L127.9,147.8 L129.7,147.7 L131.5,147.7 L133.2,147.7 L135,147.6 L136.8,147.6 L138.5,147.6 L140.3,147.5 L142.1,147.5 L143.8,147.5 L145.6,147.5 L147.4,147.5 L149.1,147.5 L150.9,147.5 L152.7,147.5 L154.4,147.5 L156.2,147.5 L158,147.5 L159.7,147.5 L161.5,147.5 L163.3,147.5 L165,147.5 L166.8,147.5 L168.6,147.5 L170.3,147.5 L172.1,147.5 L173.9,147.5 L175.6,147.5 L177.4,147.6 L179.2,147.6 L180.9,147.6 L182.7,147.6 L184.5,147.7 L186.2,147.7 L188,147.8 L189.8,147.8 L191.5,147.9 L193.3,148 L195.1,148.1 L196.8,148.2 L198.6,148.3 L200.4,148.5 L202.1,148.7 L203.9,149.1 L205.7,149.5 L207.4,150.3 L209.2,151.6 L211,154.5 L212.7,167.6 L214.5,117.7 L216.3,138.3 L218,141.8 L219.8,143.3 L221.6,144.1 L223.3,144.6 L225.1,144.9 L226.9,145.2 L228.6,145.4 L230.4,145.5 L232.2,145.6 L233.9,145.7 L235.7,145.8 L237.5,145.9 L239.2,145.9 L241,146 L242.7,146 L244.5,146.1 L246.3,146.1 L248,146.1 L249.8,146.1 L251.6,146.2 L253.3,146.2 L255.1,146.2 L256.9,146.2 L258.6,146.2 L260.4,146.2 L262.2,146.2 L263.9,146.2 L265.7,146.2 L267.5,146.2 L269.2,146.2 L271,146.2 L272.8,146.2 L274.5,146.2 L276.3,146.2 L278.1,146.2 L279.8,146.2 L281.6,146.2 L283.4,146.2 L285.1,146.2 L286.9,146.2 L288.7,146.1 L290.4,146.1 L292.2,146.1 L294,146.1 L295.7,146 L297.5,146 L299.3,145.9 L301,145.9 L302.8,145.8 L304.6,145.7 L306.3,145.6 L308.1,145.5 L309.9,145.4 L311.6,145.2 L313.4,144.9 L315.2,144.6 L316.9,144.1 L318.7,143.3 L320.5,141.8 L322.2,138.3 L324,117.7 L325.8,167.6 L327.5,154.5 L329.3,151.6 L331.1,150.3 L332.8,149.5 L334.6,149.1 L336.4,148.7 L338.1,148.5 L339.9,148.3 L341.7,148.2 L343.4,148.1 L345.2,148 L347,147.9 L348.7,147.8 L350.5,147.8 L352.3,147.7 L354,147.7 L355.8,147.6 L357.6,147.6 L359.3,147.6 L361.1,147.6 L362.9,147.5 L364.6,147.5 L366.4,147.5 L368.2,147.5 L369.9,147.5 L371.7,147.5 L373.5,147.5 L375.2,147.5 L377,147.5 L378.8,147.5 L380.5,147.5 L382.3,147.5 L384.1,147.5 L385.8,147.5 L387.6,147.5 L389.4,147.5 L391.1,147.5 L392.9,147.5 L394.7,147.5 L396.4,147.5 L398.2,147.5 L400,147.6 L401.7,147.6 L403.5,147.6 L405.3,147.7 L407,147.7 L408.8,147.7 L410.6,147.8 L412.3,147.8 L414.1,147.9 L415.9,148 L417.6,148.1 L419.4,148.2 L421.2,148.4 L422.9,148.6 L424.7,148.8 L426.5,149.2 L428.2,149.7 L430,150.6 L431.8,152.3 L433.5,156.6 L435.3,195.7 L437.1,130.7 L438.8,139.9 L440.6,142.4 L442.4,143.6 L444.1,144.3 L445.9,144.7 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(139,0,0)" stroke-width="1"><path d="M92.6,159.1 L94.37,153.4 L96.13,151.3 L97.9,150.2 L99.67,149.6 L101.4,149.1 L103.2,148.8 L105,148.6 L106.7,148.4 L108.5,148.3 L110.3,148.1 L112,148 L113.8,148 L115.6,147.9 L117.3,147.8 L119.1,147.8 L120.9,147.7 L122.6,147.7 L124.4,147.7 L126.2,147.6 L127.9,147.6 L129.7,147.6 L131.5,147.6 L133.2,147.5 L135,147.5 L136.8,147.5 L138.5,147.5 L140.3,147.5 L142.1,147.5 L143.8,147.5 L145.6,147.5 L147.4,147.5 L149.1,147.5 L150.9,147.5 L152.7,147.5 L154.4,147.5 L156.2,147.5 L158,147.5 L159.7,147.5 L161.5,147.5 L163.3,147.5 L165,147.5 L166.8,147.5 L168.6,147.5 L170.3,147.6 L172.1,147.6 L173.9,147.6 L175.6,147.7 L177.4,147.7 L179.2,147.7 L180.9,147.8 L182.7,147.8 L184.5,147.9 L186.2,148 L188,148 L189.8,148.1 L191.5,148.2 L193.3,148.4 L195.1,148.6 L196.8,148.8 L198.6,149.1 L200.4,149.5 L202.1,150.1 L203.9,151.1 L205.7,153 L207.4,157.7 L209.2,195.9 L211,127.3 L212.7,138.7 L214.5,141.7 L216.3,143.1 L218,143.9 L219.8,144.4 L221.6,144.8 L223.3,145 L225.1,145.2 L226.9,145.4 L228.6,145.5 L230.4,145.6 L232.2,145.7 L233.9,145.8 L235.7,145.9 L237.5,145.9 L239.2,146 L241,146 L242.7,146 L244.5,146.1 L246.3,146.1 L248,146.1 L249.8,146.1 L251.6,146.2 L253.3,146.2 L255.1,146.2 L256.9,146.2 L258.6,146.2 L260.4,146.2 L262.2,146.2 L263.9,146.2 L265.7,146.2 L267.5,146.2 L269.2,146.2 L271,146.2 L272.8,146.2 L274.5,146.2 L276.3,146.2 L278.1,146.2 L279.8,146.2 L281.6,146.2 L283.4,146.2 L285.1,146.2 L286.9,146.2 L288.7,146.1 L290.4,146.1 L292.2,146.1 L294,146.1 L295.7,146 L297.5,146 L299.3,146 L301,145.9 L302.8,145.9 L304.6,145.8 L306.3,145.7 L308.1,145.6 L309.9,145.5 L311.6,145.4 L313.4,145.2 L315.2,145 L316.9,144.8 L318.7,144.4 L320.5,143.9 L322.2,143.1 L324,141.7 L325.8,138.7 L327.5,127.3 L329.3,195.9 L331.1,157.7 L332.8,153 L334.6,151.1 L336.4,150.1 L338.1,149.5 L339.9,149.1 L341.7,148.8 L343.4,148.6 L345.2,148.4 L347,148.2 L348.7,148.1 L350.5,148 L352.3,148 L354,147.9 L355.8,147.8 L357.6,147.8 L359.3,147.7 L361.1,147.7 L362.9,147.7 L364.6,147.6 L366.4,147.6 L368.2,147.6 L369.9,147.5 L371.7,147.5 L373.5,147.5 L375.2,147.5 L377,147.5 L378.8,147.5 L380.5,147.5 L382.3,147.5 L384.1,147.5 L385.8,147.5 L387.6,147.5 L389.4,147.5 L391.1,147.5 L392.9,147.5 L394.7,147.5 L396.4,147.5 L398.2,147.5 L400,147.5 L401.7,147.5 L403.5,147.5 L405.3,147.5 L407,147.6 L408.8,147.6 L410.6,147.6 L412.3,147.6 L414.1,147.7 L415.9,147.7 L417.6,147.7 L419.4,147.8 L421.2,147.8 L422.9,147.9 L424.7,148 L426.5,148 L428.2,148.1 L430,148.3 L431.8,148.4 L433.5,148.6 L435.3,148.8 L437.1,149.1 L438.8,149.6 L440.6,150.2 L442.4,151.3 L444.1,153.4 L445.9,159.1 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(0,100,0)" stroke-width="1"><path d="M92.6,148.1 L94.37,148 L96.13,148 L97.9,147.9 L99.67,147.8 L101.4,147.8 L103.2,147.7 L105,147.7 L106.7,147.7 L108.5,147.6 L110.3,147.6 L112,147.6 L113.8,147.6 L115.6,147.5 L117.3,147.5 L119.1,147.5 L120.9,147.5 L122.6,147.5 L124.4,147.5 L126.2,147.5 L127.9,147.5 L129.7,147.5 L131.5,147.5 L133.2,147.5 L135,147.5 L136.8,147.5 L138.5,147.5 L140.3,147.5 L142.1,147.5 L143.8,147.5 L145.6,147.5 L147.4,147.5 L149.1,147.5 L150.9,147.5 L152.7,147.5 L154.4,147.6 L156.2,147.6 L158,147.6 L159.7,147.6 L161.5,147.7 L163.3,147.7 L165,147.7 L166.8,147.8 L168.6,147.8 L170.3,147.9 L172.1,147.9 L173.9,148 L175.6,148.1 L177.4,148.2 L179.2,148.3 L180.9,148.4 L182.7,148.5 L184.5,148.7 L186.2,148.9 L188,149.2 L189.8,149.5 L191.5,150 L193.3,150.7 L195.1,151.7 L196.8,153.4 L198.6,157.1 L200.4,170.3 L202.1,63.55 L203.9,131.8 L205.7,138.6 L207.4,141.2 L209.2,142.5 L211,143.4 L212.7,143.9 L214.5,144.3 L216.3,144.6 L218,144.9 L219.8,145.1 L221.6,145.2 L223.3,145.4 L225.1,145.5 L226.9,145.6 L228.6,145.7 L230.4,145.7 L232.2,145.8 L233.9,145.8 L235.7,145.9 L237.5,145.9 L239.2,146 L241,146 L242.7,146.1 L244.5,146.1 L246.3,146.1 L248,146.1 L249.8,146.1 L251.6,146.2 L253.3,146.2 L255.1,146.2 L256.9,146.2 L258.6,146.2 L260.4,146.2 L262.2,146.2 L263.9,146.2 L265.7,146.2 L267.5,146.2 L269.2,146.2 L271,146.2 L272.8,146.2 L274.5,146.2 L276.3,146.2 L278.1,146.2 L279.8,146.2 L281.6,146.2 L283.4,146.2 L285.1,146.2 L286.9,146.2 L288.7,146.1 L290.4,146.1 L292.2,146.1 L294,146.1 L295.7,146.1 L297.5,146 L299.3,146 L301,145.9 L302.8,145.9 L304.6,145.8 L306.3,145.8 L308.1,145.7 L309.9,145.7 L311.6,145.6 L313.4,145.5 L315.2,145.4 L316.9,145.2 L318.7,145.1 L320.5,144.9 L322.2,144.6 L324,144.3 L325.8,143.9 L327.5,143.4 L329.3,142.5 L331.1,141.2 L332.8,138.6 L334.6,131.8 L336.4,63.55 L338.1,170.3 L339.9,157.1 L341.7,153.4 L343.4,151.7 L345.2,150.7 L347,150 L348.7,149.5 L350.5,149.2 L352.3,148.9 L354,148.7 L355.8,148.5 L357.6,148.4 L359.3,148.3 L361.1,148.2 L362.9,148.1 L364.6,148 L366.4,147.9 L368.2,147.9 L369.9,147.8 L371.7,147.8 L373.5,147.7 L375.2,147.7 L377,147.7 L378.8,147.6 L380.5,147.6 L382.3,147.6 L384.1,147.6 L385.8,147.5 L387.6,147.5 L389.4,147.5 L391.1,147.5 L392.9,147.5 L394.7,147.5 L396.4,147.5 L398.2,147.5 L400,147.5 L401.7,147.5 L403.5,147.5 L405.3,147.5 L407,147.5 L408.8,147.5 L410.6,147.5 L412.3,147.5 L414.1,147.5 L415.9,147.5 L417.6,147.5 L419.4,147.5 L421.2,147.5 L422.9,147.5 L424.7,147.6 L426.5,147.6 L428.2,147.6 L430,147.6 L431.8,147.7 L433.5,147.7 L435.3,147.7 L437.1,147.8 L438.8,147.8 L440.6,147.9 L442.4,148 L444.1,148 L445.9,148.1 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(255,140,0)" stroke-width="1"><path d="M92.6,147.5 L94.37,147.5 L96.13,147.5 L97.9,147.5 L99.67,147.5 L101.4,147.5 L103.2,147.5 L105,147.5 L106.7,147.6 L108.5,147.6 L110.3,147.6 L112,147.6 L113.8,147.7 L115.6,147.7 L117.3,147.7 L119.1,147.8 L120.9,147.8 L122.6,147.8 L124.4,147.9 L126.2,147.9 L127.9,148 L129.7,148 L131.5,148.1 L133.2,148.1 L135,148.2 L136.8,148.3 L138.5,148.4 L140.3,148.5 L142.1,148.6 L143.8,148.7 L145.6,148.8 L147.4,148.9 L149.1,149.1 L150.9,149.2 L152.7,149.4 L154.4,149.6 L156.2,149.9 L158,150.2 L159.7,150.5 L161.5,151 L163.3,151.5 L165,152.1 L166.8,153 L168.6,154.2 L170.3,156 L172.1,158.9 L173.9,164.5 L175.6,179.2 L177.4,341 L179.2,98.4 L180.9,125.3 L182.7,133 L184.5,136.7 L186.2,138.8 L188,140.2 L189.8,141.2 L191.5,142 L193.3,142.6 L195.1,143 L196.8,143.4 L198.6,143.7 L200.4,144 L202.1,144.2 L203.9,144.4 L205.7,144.6 L207.4,144.7 L209.2,144.9 L211,145 L212.7,145.1 L214.5,145.2 L216.3,145.3 L218,145.4 L219.8,145.5 L221.6,145.5 L223.3,145.6 L225.1,145.7 L226.9,145.7 L228.6,145.8 L230.4,145.8 L232.2,145.9 L233.9,145.9 L235.7,145.9 L237.5,146 L239.2,146 L241,146 L242.7,146.1 L244.5,146.1 L246.3,146.1 L248,146.1 L249.8,146.2 L251.6,146.2 L253.3,146.2 L255.1,146.2 L256.9,146.2 L258.6,146.2 L260.4,146.2 L262.2,146.2 L263.9,146.2 L265.7,146.2 L267.5,146.2 L269.2,146.2 L271,146.2 L272.8,146.2 L274.5,146.2 L276.3,146.2 L278.1,146.2 L279.8,146.2 L281.6,146.2 L283.4,146.2 L285.1,146.2 L286.9,146.2 L288.7,146.2 L290.4,146.1 L292.2,146.1 L294,146.1 L295.7,146.1 L297.5,146 L299.3,146 L301,146 L302.8,145.9 L304.6,145.9 L306.3,145.9 L308.1,145.8 L309.9,145.8 L311.6,145.7 L313.4,145.7 L315.2,145.6 L316.9,145.5 L318.7,145.5 L320.5,145.4 L322.2,145.3 L324,145.2 L325.8,145.1 L327.5,145 L329.3,144.9 L331.1,144.7 L332.8,144.6 L334.6,144.4 L336.4,144.2 L338.1,144 L339.9,143.7 L341.7,143.4 L343.4,143 L345.2,142.6 L347,142 L348.7,141.2 L350.5,140.2 L352.3,138.8 L354,136.7 L355.8,133 L357.6,125.3 L359.3,98.4 L361.1,341 L362.9,179.2 L364.6,164.5 L366.4,158.9 L368.2,156 L369.9,154.2 L371.7,153 L373.5,152.1 L375.2,151.5 L377,151 L378.8,150.5 L380.5,150.2 L382.3,149.9 L384.1,149.6 L385.8,149.4 L387.6,149.2 L389.4,149.1 L391.1,148.9 L392.9,148.8 L394.7,148.7 L396.4,148.6 L398.2,148.5 L400,148.4 L401.7,148.3 L403.5,148.2 L405.3,148.1 L407,148.1 L408.8,148 L410.6,148 L412.3,147.9 L414.1,147.9 L415.9,147.8 L417.6,147.8 L419.4,147.8 L421.2,147.7 L422.9,147.7 L424.7,147.7 L426.5,147.6 L428.2,147.6 L430,147.6 L431.8,147.6 L433.5,147.5 L435.3,147.5 L437.1,147.5 L438.8,147.5 L440.6,147.5 L442.4,147.5 L444.1,147.5 L445.9,147.5 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(127,255,0)" stroke-width="1"><path d="M92.6,101.9 L94.37,104.1 L96.13,106.2 L97.9,108.2 L99.67,110.1 L101.4,111.9 L103.2,113.6 L105,115.2 L106.7,116.7 L108.5,118.2 L110.3,119.6 L112,120.9 L113.8,122.2 L115.6,123.4 L117.3,124.5 L119.1,125.6 L120.9,126.7 L122.6,127.6 L124.4,128.6 L126.2,129.5 L127.9,130.3 L129.7,131.1 L131.5,131.9 L133.2,132.6 L135,133.3 L136.8,134 L138.5,134.6 L140.3,135.2 L142.1,135.8 L143.8,136.3 L145.6,136.8 L147.4,137.3 L149.1,137.8 L150.9,138.2 L152.7,138.6 L154.4,139 L156.2,139.4 L158,139.8 L159.7,140.1 L161.5,140.4 L163.3,140.8 L165,141.1 L166.8,141.3 L168.6,141.6 L170.3,141.9 L172.1,142.1 L173.9,142.3 L175.6,142.5 L177.4,142.8 L179.2,143 L180.9,143.1 L182.7,143.3 L184.5,143.5 L186.2,143.7 L188,143.8 L189.8,143.9 L191.5,144.1 L193.3,144.2 L195.1,144.3 L196.8,144.5 L198.6,144.6 L200.4,144.7 L202.1,144.8 L203.9,144.9 L205.7,145 L207.4,145.1 L209.2,145.1 L211,145.2 L212.7,145.3 L214.5,145.4 L216.3,145.4 L218,145.5 L219.8,145.6 L221.6,145.6 L223.3,145.7 L225.1,145.7 L226.9,145.8 L228.6,145.8 L230.4,145.8 L232.2,145.9 L233.9,145.9 L235.7,146 L237.5,146 L239.2,146 L241,146 L242.7,146.1 L244.5,146.1 L246.3,146.1 L248,146.1 L249.8,146.2 L251.6,146.2 L253.3,146.2 L255.1,146.2 L256.9,146.2 L258.6,146.2 L260.4,146.2 L262.2,146.2 L263.9,146.2 L265.7,146.2 L267.5,146.2 L269.2,146.2 L271,146.2 L272.8,146.2 L274.5,146.2 L276.3,146.2 L278.1,146.2 L279.8,146.2 L281.6,146.2 L283.4,146.2 L285.1,146.2 L286.9,146.2 L288.7,146.2 L290.4,146.1 L292.2,146.1 L294,146.1 L295.7,146.1 L297.5,146 L299.3,146 L301,146 L302.8,146 L304.6,145.9 L306.3,145.9 L308.1,145.8 L309.9,145.8 L311.6,145.8 L313.4,145.7 L315.2,145.7 L316.9,145.6 L318.7,145.6 L320.5,145.5 L322.2,145.4 L324,145.4 L325.8,145.3 L327.5,145.2 L329.3,145.1 L331.1,145.1 L332.8,145 L334.6,144.9 L336.4,144.8 L338.1,144.7 L339.9,144.6 L341.7,144.5 L343.4,144.3 L345.2,144.2 L347,144.1 L348.7,143.9 L350.5,143.8 L352.3,143.7 L354,143.5 L355.8,143.3 L357.6,143.1 L359.3,143 L361.1,142.8 L362.9,142.5 L364.6,142.3 L366.4,142.1 L368.2,141.9 L369.9,141.6 L371.7,141.3 L373.5,141.1 L375.2,140.8 L377,140.4 L378.8,140.1 L380.5,139.8 L382.3,139.4 L384.1,139 L385.8,138.6 L387.6,138.2 L389.4,137.8 L391.1,137.3 L392.9,136.8 L394.7,136.3 L396.4,135.8 L398.2,135.2 L400,134.6 L401.7,134 L403.5,133.3 L405.3,132.6 L407,131.9 L408.8,131.1 L410.6,130.3 L412.3,129.5 L414.1,128.6 L415.9,127.6 L417.6,126.7 L419.4,125.6 L421.2,124.5 L422.9,123.4 L424.7,122.2 L426.5,120.9 L428.2,119.6 L430,118.2 L431.8,116.7 L433.5,115.2 L435.3,113.6 L437.1,111.9 L438.8,110.1 L440.6,108.2 L442.4,106.2 L444.1,104.1 L445.9,101.9 " fill="none"/></g>
</g>
<g id="plotPoints" clip-path="url(#plot_window)"></g>
<g id="legendBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="1"><rect x="467" y="58" width="107" height="154"/><rect x="467" y="58" width="107" height="154"/></g>
<g id="legendPoints"><g stroke="rgb(0,0,139)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="86" x2="495" y2="86"/></g>
<g stroke="rgb(139,0,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="114" x2="495" y2="114"/></g>
<g stroke="rgb(0,100,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="142" x2="495" y2="142"/></g>
<g stroke="rgb(255,140,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="170" x2="495" y2="170"/></g>
<g stroke="rgb(127,255,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="198" x2="495" y2="198"/></g>
</g>
<g id="legendText">
<text x="502" y="86" font-size="14" font-family="Verdana">k=0</text>
<text x="502" y="114" font-size="14" font-family="Verdana">k=0.5</text>
<text x="502" y="142" font-size="14" font-family="Verdana">k=0.75</text>
<text x="502" y="170" font-size="14" font-family="Verdana">k=0.95</text>
<text x="502" y="198" font-size="14" font-family="Verdana">k=1</text></g>
<g id="title">
<text x="300" y="40" text-anchor="middle" font-size="20" font-family="Verdana">Jacobi Elliptic nc</text></g>
<g id="plotXValues"></g>
<g id="plotYValues"></g>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 20 KiB

BIN
doc/sf_and_dist/graphs/jacobi_nd.png Normal file
View File

Binary file not shown.
Side by Side

After

Width:  |  Height:  |  Size: 36 KiB

77
doc/sf_and_dist/graphs/jacobi_nd.svg Normal file
View File

@@ -0,0 +1,77 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<svg width="600" height ="400" version="1.1"
xmlns:svg ="http://www.w3.org/2000/svg"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cc="http://web.resource.org/cc/"
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns ="http://www.w3.org/2000/svg"
>
<!-- SVG plot written using Boost.Plot program (Creator Jacob Voytko) -->
<!-- Use, modification and distribution of Boost.Plot subject to the -->
<!-- Boost Software License, Version 1.0.-->
<!-- (See accompanying file LICENSE_1_0.txt -->
<!-- or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<!-- SVG Plot Copyright John Maddock 2008 -->
<meta name="copyright" content="John Maddock" />
<meta name="date" content="2008" />
<!-- Use, modification and distribution of this Scalable Vector Graphic file -->
<!-- are subject to the Boost Software License, Version 1.0. -->
<!-- (See accompanying file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<clipPath id="plot_window"><rect x="85.2" y="59" width="366.8" height="281"/></clipPath>
<g id="imageBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="0" y="0" width="600" height="400"/></g>
<g id="plotBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="84.2" y="58" width="368.8" height="283"/></g>
<g id="yMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="yMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="xMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="xMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="yAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="265" y1="58" x2="265" y2="341"/><line x1="84.2" y1="58" x2="84.2" y2="341"/></g>
<g id="xAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="84.2" y1="341" x2="453" y2="341"/></g>
<g id="yMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M82.2,328.4 L84.2,328.4 M82.2,315.9 L84.2,315.9 M82.2,303.3 L84.2,303.3 M82.2,278.2 L84.2,278.2 M82.2,265.7 L84.2,265.7 M82.2,253.1 L84.2,253.1 M82.2,228 L84.2,228 M82.2,215.4 L84.2,215.4 M82.2,202.9 L84.2,202.9 M82.2,177.8 L84.2,177.8 M82.2,165.2 L84.2,165.2 M82.2,152.7 L84.2,152.7 M82.2,127.6 L84.2,127.6 M82.2,115 L84.2,115 M82.2,102.4 L84.2,102.4 M82.2,77.33 L84.2,77.33 M82.2,64.77 L84.2,64.77 " fill="none"/></g>
<g id="xMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M287.6,341 L287.6,343 M310.2,341 L310.2,343 M332.8,341 L332.8,343 M377.9,341 L377.9,343 M400.5,341 L400.5,343 M423.1,341 L423.1,343 M242.4,341 L242.4,343 M219.8,341 L219.8,343 M197.2,341 L197.2,343 M152,341 L152,343 M129.4,341 L129.4,343 M106.8,341 L106.8,343 " fill="none"/></g>
<g id="yMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M79.2,341 L84.2,341 M79.2,290.8 L84.2,290.8 M79.2,240.6 L84.2,240.6 M79.2,190.3 L84.2,190.3 M79.2,140.1 L84.2,140.1 M79.2,89.89 L84.2,89.89 " fill="none"/></g>
<g id="xMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M265,341 L265,346 M355.3,341 L355.3,346 M445.7,341 L445.7,346 M265,341 L265,346 M174.6,341 L174.6,346 M84.2,341 L84.2,346 " fill="none"/></g>
<g id="xTicksValues">
<text x="265" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">0</text>
<text x="355.3" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">1</text>
<text x="445.7" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">2</text>
<text x="265" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">0</text>
<text x="174.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-1</text>
<text x="84.2" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-2</text></g>
<g id="yTicksValues">
<text x="73.2" y="343.4" text-anchor="end" font-size="12" font-family="Verdana">1</text>
<text x="73.2" y="293.2" text-anchor="end" font-size="12" font-family="Verdana">1.5</text>
<text x="73.2" y="243" text-anchor="end" font-size="12" font-family="Verdana">2</text>
<text x="73.2" y="192.7" text-anchor="end" font-size="12" font-family="Verdana">2.5</text>
<text x="73.2" y="142.5" text-anchor="end" font-size="12" font-family="Verdana">3</text>
<text x="73.2" y="92.29" text-anchor="end" font-size="12" font-family="Verdana">3.5</text></g>
<g id="yLabel">
<text x="42.9" y="199.5" text-anchor="middle" transform = "rotate(-90 42.9 199.5 )" font-size="14" font-family="Verdana">jacobi_nd(k, u)</text></g>
<g id="xLabel">
<text x="268.6" y="376.7" text-anchor="middle" font-size="14" font-family="Verdana">k</text></g>
<g id="plotLines" stroke-width="2"><g clip-path="url(#plot_window)" stroke="rgb(0,0,139)" stroke-width="1"><path d="M84.2,341 L86.01,341 L87.82,341 L89.62,341 L91.43,341 L93.24,341 L95.05,341 L96.85,341 L98.66,341 L100.5,341 L102.3,341 L104.1,341 L105.9,341 L107.7,341 L109.5,341 L111.3,341 L113.1,341 L114.9,341 L116.7,341 L118.5,341 L120.4,341 L122.2,341 L124,341 L125.8,341 L127.6,341 L129.4,341 L131.2,341 L133,341 L134.8,341 L136.6,341 L138.4,341 L140.2,341 L142,341 L143.9,341 L145.7,341 L147.5,341 L149.3,341 L151.1,341 L152.9,341 L154.7,341 L156.5,341 L158.3,341 L160.1,341 L161.9,341 L163.7,341 L165.5,341 L167.4,341 L169.2,341 L171,341 L172.8,341 L174.6,341 L176.4,341 L178.2,341 L180,341 L181.8,341 L183.6,341 L185.4,341 L187.2,341 L189,341 L190.9,341 L192.7,341 L194.5,341 L196.3,341 L198.1,341 L199.9,341 L201.7,341 L203.5,341 L205.3,341 L207.1,341 L208.9,341 L210.7,341 L212.5,341 L214.4,341 L216.2,341 L218,341 L219.8,341 L221.6,341 L223.4,341 L225.2,341 L227,341 L228.8,341 L230.6,341 L232.4,341 L234.2,341 L236,341 L237.9,341 L239.7,341 L241.5,341 L243.3,341 L245.1,341 L246.9,341 L248.7,341 L250.5,341 L252.3,341 L254.1,341 L255.9,341 L257.7,341 L259.5,341 L261.3,341 L263.2,341 L265,341 L266.8,341 L268.6,341 L270.4,341 L272.2,341 L274,341 L275.8,341 L277.6,341 L279.4,341 L281.2,341 L283,341 L284.8,341 L286.7,341 L288.5,341 L290.3,341 L292.1,341 L293.9,341 L295.7,341 L297.5,341 L299.3,341 L301.1,341 L302.9,341 L304.7,341 L306.5,341 L308.3,341 L310.2,341 L312,341 L313.8,341 L315.6,341 L317.4,341 L319.2,341 L321,341 L322.8,341 L324.6,341 L326.4,341 L328.2,341 L330,341 L331.8,341 L333.7,341 L335.5,341 L337.3,341 L339.1,341 L340.9,341 L342.7,341 L344.5,341 L346.3,341 L348.1,341 L349.9,341 L351.7,341 L353.5,341 L355.3,341 L357.2,341 L359,341 L360.8,341 L362.6,341 L364.4,341 L366.2,341 L368,341 L369.8,341 L371.6,341 L373.4,341 L375.2,341 L377,341 L378.8,341 L380.7,341 L382.5,341 L384.3,341 L386.1,341 L387.9,341 L389.7,341 L391.5,341 L393.3,341 L395.1,341 L396.9,341 L398.7,341 L400.5,341 L402.3,341 L404.2,341 L406,341 L407.8,341 L409.6,341 L411.4,341 L413.2,341 L415,341 L416.8,341 L418.6,341 L420.4,341 L422.2,341 L424,341 L425.8,341 L427.7,341 L429.5,341 L431.3,341 L433.1,341 L434.9,341 L436.7,341 L438.5,341 L440.3,341 L442.1,341 L443.9,341 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(139,0,0)" stroke-width="1"><path d="M84.2,326.8 L86.01,326.7 L87.82,326.5 L89.62,326.4 L91.43,326.2 L93.24,326.1 L95.05,326 L96.85,325.9 L98.66,325.8 L100.5,325.7 L102.3,325.6 L104.1,325.6 L105.9,325.5 L107.7,325.5 L109.5,325.5 L111.3,325.5 L113.1,325.5 L114.9,325.5 L116.7,325.5 L118.5,325.5 L120.4,325.6 L122.2,325.6 L124,325.7 L125.8,325.8 L127.6,325.9 L129.4,326 L131.2,326.1 L133,326.2 L134.8,326.3 L136.6,326.5 L138.4,326.6 L140.2,326.8 L142,326.9 L143.9,327.1 L145.7,327.3 L147.5,327.5 L149.3,327.7 L151.1,327.9 L152.9,328.1 L154.7,328.4 L156.5,328.6 L158.3,328.9 L160.1,329.1 L161.9,329.4 L163.7,329.6 L165.5,329.9 L167.4,330.1 L169.2,330.4 L171,330.7 L172.8,331 L174.6,331.2 L176.4,331.5 L178.2,331.8 L180,332.1 L181.8,332.4 L183.6,332.7 L185.4,333 L187.2,333.3 L189,333.6 L190.9,333.8 L192.7,334.1 L194.5,334.4 L196.3,334.7 L198.1,335 L199.9,335.3 L201.7,335.5 L203.5,335.8 L205.3,336.1 L207.1,336.3 L208.9,336.6 L210.7,336.9 L212.5,337.1 L214.4,337.3 L216.2,337.6 L218,337.8 L219.8,338 L221.6,338.3 L223.4,338.5 L225.2,338.7 L227,338.9 L228.8,339.1 L230.6,339.2 L232.4,339.4 L234.2,339.6 L236,339.7 L237.9,339.9 L239.7,340 L241.5,340.2 L243.3,340.3 L245.1,340.4 L246.9,340.5 L248.7,340.6 L250.5,340.7 L252.3,340.8 L254.1,340.8 L255.9,340.9 L257.7,340.9 L259.5,341 L261.3,341 L263.2,341 L265,341 L266.8,341 L268.6,341 L270.4,341 L272.2,340.9 L274,340.9 L275.8,340.8 L277.6,340.8 L279.4,340.7 L281.2,340.6 L283,340.5 L284.8,340.4 L286.7,340.3 L288.5,340.2 L290.3,340 L292.1,339.9 L293.9,339.7 L295.7,339.6 L297.5,339.4 L299.3,339.2 L301.1,339.1 L302.9,338.9 L304.7,338.7 L306.5,338.5 L308.3,338.3 L310.2,338 L312,337.8 L313.8,337.6 L315.6,337.3 L317.4,337.1 L319.2,336.9 L321,336.6 L322.8,336.3 L324.6,336.1 L326.4,335.8 L328.2,335.5 L330,335.3 L331.8,335 L333.7,334.7 L335.5,334.4 L337.3,334.1 L339.1,333.8 L340.9,333.6 L342.7,333.3 L344.5,333 L346.3,332.7 L348.1,332.4 L349.9,332.1 L351.7,331.8 L353.5,331.5 L355.3,331.2 L357.2,331 L359,330.7 L360.8,330.4 L362.6,330.1 L364.4,329.9 L366.2,329.6 L368,329.4 L369.8,329.1 L371.6,328.9 L373.4,328.6 L375.2,328.4 L377,328.1 L378.8,327.9 L380.7,327.7 L382.5,327.5 L384.3,327.3 L386.1,327.1 L387.9,326.9 L389.7,326.8 L391.5,326.6 L393.3,326.5 L395.1,326.3 L396.9,326.2 L398.7,326.1 L400.5,326 L402.3,325.9 L404.2,325.8 L406,325.7 L407.8,325.6 L409.6,325.6 L411.4,325.5 L413.2,325.5 L415,325.5 L416.8,325.5 L418.6,325.5 L420.4,325.5 L422.2,325.5 L424,325.5 L425.8,325.6 L427.7,325.6 L429.5,325.7 L431.3,325.8 L433.1,325.9 L434.9,326 L436.7,326.1 L438.5,326.2 L440.3,326.4 L442.1,326.5 L443.9,326.7 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(0,100,0)" stroke-width="1"><path d="M84.2,289.9 L86.01,289.8 L87.82,289.7 L89.62,289.6 L91.43,289.6 L93.24,289.6 L95.05,289.6 L96.85,289.7 L98.66,289.8 L100.5,289.9 L102.3,290.1 L104.1,290.3 L105.9,290.6 L107.7,290.8 L109.5,291.1 L111.3,291.5 L113.1,291.8 L114.9,292.2 L116.7,292.6 L118.5,293.1 L120.4,293.6 L122.2,294.1 L124,294.6 L125.8,295.2 L127.6,295.8 L129.4,296.4 L131.2,297 L133,297.6 L134.8,298.3 L136.6,299 L138.4,299.7 L140.2,300.4 L142,301.2 L143.9,301.9 L145.7,302.7 L147.5,303.5 L149.3,304.3 L151.1,305.1 L152.9,305.9 L154.7,306.7 L156.5,307.6 L158.3,308.4 L160.1,309.3 L161.9,310.1 L163.7,311 L165.5,311.8 L167.4,312.7 L169.2,313.5 L171,314.4 L172.8,315.2 L174.6,316.1 L176.4,316.9 L178.2,317.8 L180,318.6 L181.8,319.4 L183.6,320.2 L185.4,321 L187.2,321.9 L189,322.6 L190.9,323.4 L192.7,324.2 L194.5,325 L196.3,325.7 L198.1,326.5 L199.9,327.2 L201.7,327.9 L203.5,328.6 L205.3,329.3 L207.1,329.9 L208.9,330.6 L210.7,331.2 L212.5,331.8 L214.4,332.4 L216.2,333 L218,333.6 L219.8,334.1 L221.6,334.6 L223.4,335.2 L225.2,335.6 L227,336.1 L228.8,336.6 L230.6,337 L232.4,337.4 L234.2,337.8 L236,338.1 L237.9,338.5 L239.7,338.8 L241.5,339.1 L243.3,339.4 L245.1,339.6 L246.9,339.9 L248.7,340.1 L250.5,340.3 L252.3,340.4 L254.1,340.6 L255.9,340.7 L257.7,340.8 L259.5,340.9 L261.3,341 L263.2,341 L265,341 L266.8,341 L268.6,341 L270.4,340.9 L272.2,340.8 L274,340.7 L275.8,340.6 L277.6,340.4 L279.4,340.3 L281.2,340.1 L283,339.9 L284.8,339.6 L286.7,339.4 L288.5,339.1 L290.3,338.8 L292.1,338.5 L293.9,338.1 L295.7,337.8 L297.5,337.4 L299.3,337 L301.1,336.6 L302.9,336.1 L304.7,335.6 L306.5,335.2 L308.3,334.6 L310.2,334.1 L312,333.6 L313.8,333 L315.6,332.4 L317.4,331.8 L319.2,331.2 L321,330.6 L322.8,329.9 L324.6,329.3 L326.4,328.6 L328.2,327.9 L330,327.2 L331.8,326.5 L333.7,325.7 L335.5,325 L337.3,324.2 L339.1,323.4 L340.9,322.6 L342.7,321.9 L344.5,321 L346.3,320.2 L348.1,319.4 L349.9,318.6 L351.7,317.8 L353.5,316.9 L355.3,316.1 L357.2,315.2 L359,314.4 L360.8,313.5 L362.6,312.7 L364.4,311.8 L366.2,311 L368,310.1 L369.8,309.3 L371.6,308.4 L373.4,307.6 L375.2,306.7 L377,305.9 L378.8,305.1 L380.7,304.3 L382.5,303.5 L384.3,302.7 L386.1,301.9 L387.9,301.2 L389.7,300.4 L391.5,299.7 L393.3,299 L395.1,298.3 L396.9,297.6 L398.7,297 L400.5,296.4 L402.3,295.8 L404.2,295.2 L406,294.6 L407.8,294.1 L409.6,293.6 L411.4,293.1 L413.2,292.6 L415,292.2 L416.8,291.8 L418.6,291.5 L420.4,291.1 L422.2,290.8 L424,290.6 L425.8,290.3 L427.7,290.1 L429.5,289.9 L431.3,289.8 L433.1,289.7 L434.9,289.6 L436.7,289.6 L438.5,289.6 L440.3,289.6 L442.1,289.7 L443.9,289.8 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(255,140,0)" stroke-width="1"><path d="M84.2,164 L86.01,166.6 L87.82,169.3 L89.62,172 L91.43,174.7 L93.24,177.5 L95.05,180.3 L96.85,183.1 L98.66,186 L100.5,188.8 L102.3,191.7 L104.1,194.6 L105.9,197.5 L107.7,200.4 L109.5,203.3 L111.3,206.2 L113.1,209.1 L114.9,212 L116.7,214.9 L118.5,217.8 L120.4,220.6 L122.2,223.5 L124,226.3 L125.8,229.2 L127.6,232 L129.4,234.7 L131.2,237.5 L133,240.2 L134.8,242.9 L136.6,245.6 L138.4,248.3 L140.2,250.9 L142,253.5 L143.9,256 L145.7,258.6 L147.5,261.1 L149.3,263.5 L151.1,266 L152.9,268.4 L154.7,270.7 L156.5,273 L158.3,275.3 L160.1,277.6 L161.9,279.8 L163.7,282 L165.5,284.1 L167.4,286.2 L169.2,288.2 L171,290.2 L172.8,292.2 L174.6,294.2 L176.4,296.1 L178.2,297.9 L180,299.7 L181.8,301.5 L183.6,303.2 L185.4,304.9 L187.2,306.6 L189,308.2 L190.9,309.8 L192.7,311.3 L194.5,312.8 L196.3,314.3 L198.1,315.7 L199.9,317 L201.7,318.4 L203.5,319.7 L205.3,320.9 L207.1,322.1 L208.9,323.3 L210.7,324.4 L212.5,325.5 L214.4,326.6 L216.2,327.6 L218,328.6 L219.8,329.6 L221.6,330.5 L223.4,331.3 L225.2,332.2 L227,332.9 L228.8,333.7 L230.6,334.4 L232.4,335.1 L234.2,335.7 L236,336.3 L237.9,336.9 L239.7,337.4 L241.5,337.9 L243.3,338.4 L245.1,338.8 L246.9,339.2 L248.7,339.5 L250.5,339.8 L252.3,340.1 L254.1,340.3 L255.9,340.5 L257.7,340.7 L259.5,340.8 L261.3,340.9 L263.2,341 L265,341 L266.8,341 L268.6,340.9 L270.4,340.8 L272.2,340.7 L274,340.5 L275.8,340.3 L277.6,340.1 L279.4,339.8 L281.2,339.5 L283,339.2 L284.8,338.8 L286.7,338.4 L288.5,337.9 L290.3,337.4 L292.1,336.9 L293.9,336.3 L295.7,335.7 L297.5,335.1 L299.3,334.4 L301.1,333.7 L302.9,332.9 L304.7,332.2 L306.5,331.3 L308.3,330.5 L310.2,329.6 L312,328.6 L313.8,327.6 L315.6,326.6 L317.4,325.5 L319.2,324.4 L321,323.3 L322.8,322.1 L324.6,320.9 L326.4,319.7 L328.2,318.4 L330,317 L331.8,315.7 L333.7,314.3 L335.5,312.8 L337.3,311.3 L339.1,309.8 L340.9,308.2 L342.7,306.6 L344.5,304.9 L346.3,303.2 L348.1,301.5 L349.9,299.7 L351.7,297.9 L353.5,296.1 L355.3,294.2 L357.2,292.2 L359,290.2 L360.8,288.2 L362.6,286.2 L364.4,284.1 L366.2,282 L368,279.8 L369.8,277.6 L371.6,275.3 L373.4,273 L375.2,270.7 L377,268.4 L378.8,266 L380.7,263.5 L382.5,261.1 L384.3,258.6 L386.1,256 L387.9,253.5 L389.7,250.9 L391.5,248.3 L393.3,245.6 L395.1,242.9 L396.9,240.2 L398.7,237.5 L400.5,234.7 L402.3,232 L404.2,229.2 L406,226.3 L407.8,223.5 L409.6,220.6 L411.4,217.8 L413.2,214.9 L415,212 L416.8,209.1 L418.6,206.2 L420.4,203.3 L422.2,200.4 L424,197.5 L425.8,194.6 L427.7,191.7 L429.5,188.8 L431.3,186 L433.1,183.1 L434.9,180.3 L436.7,177.5 L438.5,174.7 L440.3,172 L442.1,169.3 L443.9,166.6 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(127,255,0)" stroke-width="1"><path d="M84.2,63.55 L86.01,70.76 L87.82,77.82 L89.62,84.74 L91.43,91.51 L93.24,98.15 L95.05,104.6 L96.85,111 L98.66,117.2 L100.5,123.3 L102.3,129.3 L104.1,135.2 L105.9,140.9 L107.7,146.5 L109.5,152 L111.3,157.4 L113.1,162.6 L114.9,167.8 L116.7,172.8 L118.5,177.7 L120.4,182.6 L122.2,187.3 L124,191.9 L125.8,196.4 L127.6,200.8 L129.4,205.2 L131.2,209.4 L133,213.5 L134.8,217.6 L136.6,221.5 L138.4,225.4 L140.2,229.2 L142,232.9 L143.9,236.5 L145.7,240 L147.5,243.5 L149.3,246.8 L151.1,250.1 L152.9,253.4 L154.7,256.5 L156.5,259.6 L158.3,262.6 L160.1,265.5 L161.9,268.3 L163.7,271.1 L165.5,273.9 L167.4,276.5 L169.2,279.1 L171,281.6 L172.8,284.1 L174.6,286.4 L176.4,288.8 L178.2,291 L180,293.3 L181.8,295.4 L183.6,297.5 L185.4,299.5 L187.2,301.5 L189,303.4 L190.9,305.3 L192.7,307.1 L194.5,308.9 L196.3,310.6 L198.1,312.2 L199.9,313.8 L201.7,315.4 L203.5,316.9 L205.3,318.3 L207.1,319.7 L208.9,321.1 L210.7,322.4 L212.5,323.6 L214.4,324.8 L216.2,326 L218,327.1 L219.8,328.2 L221.6,329.2 L223.4,330.2 L225.2,331.1 L227,332 L228.8,332.9 L230.6,333.7 L232.4,334.4 L234.2,335.1 L236,335.8 L237.9,336.4 L239.7,337 L241.5,337.6 L243.3,338.1 L245.1,338.6 L246.9,339 L248.7,339.4 L250.5,339.7 L252.3,340 L254.1,340.3 L255.9,340.5 L257.7,340.7 L259.5,340.8 L261.3,340.9 L263.2,341 L265,341 L266.8,341 L268.6,340.9 L270.4,340.8 L272.2,340.7 L274,340.5 L275.8,340.3 L277.6,340 L279.4,339.7 L281.2,339.4 L283,339 L284.8,338.6 L286.7,338.1 L288.5,337.6 L290.3,337 L292.1,336.4 L293.9,335.8 L295.7,335.1 L297.5,334.4 L299.3,333.7 L301.1,332.9 L302.9,332 L304.7,331.1 L306.5,330.2 L308.3,329.2 L310.2,328.2 L312,327.1 L313.8,326 L315.6,324.8 L317.4,323.6 L319.2,322.4 L321,321.1 L322.8,319.7 L324.6,318.3 L326.4,316.9 L328.2,315.4 L330,313.8 L331.8,312.2 L333.7,310.6 L335.5,308.9 L337.3,307.1 L339.1,305.3 L340.9,303.4 L342.7,301.5 L344.5,299.5 L346.3,297.5 L348.1,295.4 L349.9,293.3 L351.7,291 L353.5,288.8 L355.3,286.4 L357.2,284.1 L359,281.6 L360.8,279.1 L362.6,276.5 L364.4,273.9 L366.2,271.1 L368,268.3 L369.8,265.5 L371.6,262.6 L373.4,259.6 L375.2,256.5 L377,253.4 L378.8,250.1 L380.7,246.8 L382.5,243.5 L384.3,240 L386.1,236.5 L387.9,232.9 L389.7,229.2 L391.5,225.4 L393.3,221.5 L395.1,217.6 L396.9,213.5 L398.7,209.4 L400.5,205.2 L402.3,200.8 L404.2,196.4 L406,191.9 L407.8,187.3 L409.6,182.6 L411.4,177.7 L413.2,172.8 L415,167.8 L416.8,162.6 L418.6,157.4 L420.4,152 L422.2,146.5 L424,140.9 L425.8,135.2 L427.7,129.3 L429.5,123.3 L431.3,117.2 L433.1,111 L434.9,104.6 L436.7,98.15 L438.5,91.51 L440.3,84.74 L442.1,77.82 L443.9,70.76 " fill="none"/></g>
</g>
<g id="plotPoints" clip-path="url(#plot_window)"></g>
<g id="legendBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="1"><rect x="467" y="58" width="107" height="154"/><rect x="467" y="58" width="107" height="154"/></g>
<g id="legendPoints"><g stroke="rgb(0,0,139)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="86" x2="495" y2="86"/></g>
<g stroke="rgb(139,0,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="114" x2="495" y2="114"/></g>
<g stroke="rgb(0,100,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="142" x2="495" y2="142"/></g>
<g stroke="rgb(255,140,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="170" x2="495" y2="170"/></g>
<g stroke="rgb(127,255,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="198" x2="495" y2="198"/></g>
</g>
<g id="legendText">
<text x="502" y="86" font-size="14" font-family="Verdana">k=0</text>
<text x="502" y="114" font-size="14" font-family="Verdana">k=0.5</text>
<text x="502" y="142" font-size="14" font-family="Verdana">k=0.75</text>
<text x="502" y="170" font-size="14" font-family="Verdana">k=0.95</text>
<text x="502" y="198" font-size="14" font-family="Verdana">k=1</text></g>
<g id="title">
<text x="300" y="40" text-anchor="middle" font-size="20" font-family="Verdana">Jacobi Elliptic nd</text></g>
<g id="plotXValues"></g>
<g id="plotYValues"></g>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 18 KiB

BIN
doc/sf_and_dist/graphs/jacobi_ns.png Normal file
View File

Binary file not shown.
Side by Side

After

Width:  |  Height:  |  Size: 24 KiB

75
doc/sf_and_dist/graphs/jacobi_ns.svg Normal file
View File

@@ -0,0 +1,75 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<svg width="600" height ="400" version="1.1"
xmlns:svg ="http://www.w3.org/2000/svg"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cc="http://web.resource.org/cc/"
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns ="http://www.w3.org/2000/svg"
>
<!-- SVG plot written using Boost.Plot program (Creator Jacob Voytko) -->
<!-- Use, modification and distribution of Boost.Plot subject to the -->
<!-- Boost Software License, Version 1.0.-->
<!-- (See accompanying file LICENSE_1_0.txt -->
<!-- or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<!-- SVG Plot Copyright John Maddock 2008 -->
<meta name="copyright" content="John Maddock" />
<meta name="date" content="2008" />
<!-- Use, modification and distribution of this Scalable Vector Graphic file -->
<!-- are subject to the Boost Software License, Version 1.0. -->
<!-- (See accompanying file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<clipPath id="plot_window"><rect x="110.4" y="59" width="341.6" height="281"/></clipPath>
<g id="imageBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="0" y="0" width="600" height="400"/></g>
<g id="plotBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="109.4" y="58" width="343.6" height="283"/></g>
<g id="yMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="yMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="xMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="xMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="yAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="109.4" y1="58" x2="109.4" y2="341"/></g>
<g id="xAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="104.4" y1="70.88" x2="453" y2="70.88"/><line x1="104.4" y1="341" x2="453" y2="341"/></g>
<g id="yMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M107.4,70.88 L109.4,70.88 M107.4,84.64 L109.4,84.64 M107.4,98.39 L109.4,98.39 M107.4,112.1 L109.4,112.1 M107.4,125.9 L109.4,125.9 M107.4,139.7 L109.4,139.7 M107.4,153.4 L109.4,153.4 M107.4,167.2 L109.4,167.2 M107.4,180.9 L109.4,180.9 M107.4,194.7 L109.4,194.7 M107.4,208.4 L109.4,208.4 M107.4,222.2 L109.4,222.2 M107.4,235.9 L109.4,235.9 M107.4,249.7 L109.4,249.7 M107.4,263.4 L109.4,263.4 M107.4,277.2 L109.4,277.2 M107.4,290.9 L109.4,290.9 M107.4,304.7 L109.4,304.7 M107.4,318.5 L109.4,318.5 M107.4,332.2 L109.4,332.2 " fill="none"/></g>
<g id="xMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M122.4,341 L122.4,343 M143.9,341 L143.9,343 M165.5,341 L165.5,343 M208.7,341 L208.7,343 M230.3,341 L230.3,343 M251.9,341 L251.9,343 M295.1,341 L295.1,343 M316.7,341 L316.7,343 M338.3,341 L338.3,343 M381.4,341 L381.4,343 M403,341 L403,343 M424.6,341 L424.6,343 " fill="none"/></g>
<g id="yMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M104.4,70.88 L109.4,70.88 M104.4,70.88 L109.4,70.88 M104.4,125.9 L109.4,125.9 M104.4,180.9 L109.4,180.9 M104.4,235.9 L109.4,235.9 M104.4,290.9 L109.4,290.9 " fill="none"/></g>
<g id="xMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M187.1,341 L187.1,346 M273.5,341 L273.5,346 M359.9,341 L359.9,346 M446.2,341 L446.2,346 " fill="none"/></g>
<g id="xTicksValues">
<text x="187.1" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">1</text>
<text x="273.5" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">2</text>
<text x="359.9" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">3</text>
<text x="446.2" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">4</text></g>
<g id="yTicksValues">
<text x="98.4" y="73.28" text-anchor="end" font-size="12" font-family="Verdana">0</text>
<text x="98.4" y="73.28" text-anchor="end" font-size="12" font-family="Verdana">0</text>
<text x="98.4" y="128.3" text-anchor="end" font-size="12" font-family="Verdana">-500</text>
<text x="98.4" y="183.3" text-anchor="end" font-size="12" font-family="Verdana">-1e3</text>
<text x="98.4" y="238.3" text-anchor="end" font-size="12" font-family="Verdana">-1.5e3</text>
<text x="98.4" y="293.3" text-anchor="end" font-size="12" font-family="Verdana">-2e3</text></g>
<g id="yLabel">
<text x="42.9" y="199.5" text-anchor="middle" transform = "rotate(-90 42.9 199.5 )" font-size="14" font-family="Verdana">jacobi_ns(k, u)</text></g>
<g id="xLabel">
<text x="281.2" y="376.7" text-anchor="middle" font-size="14" font-family="Verdana">k</text></g>
<g id="plotLines" stroke-width="2"><g clip-path="url(#plot_window)" stroke="rgb(0,0,139)" stroke-width="1"><path d="M109.4,69.78 L111.1,69.96 L112.8,70.09 L114.5,70.19 L116.1,70.26 L117.8,70.32 L119.5,70.37 L121.2,70.41 L122.9,70.45 L124.6,70.48 L126.2,70.51 L127.9,70.53 L129.6,70.55 L131.3,70.57 L133,70.58 L134.7,70.6 L136.3,70.61 L138,70.62 L139.7,70.63 L141.4,70.64 L143.1,70.65 L144.8,70.66 L146.5,70.67 L148.1,70.67 L149.8,70.68 L151.5,70.69 L153.2,70.69 L154.9,70.7 L156.6,70.7 L158.2,70.71 L159.9,70.71 L161.6,70.71 L163.3,70.72 L165,70.72 L166.7,70.73 L168.3,70.73 L170,70.73 L171.7,70.73 L173.4,70.74 L175.1,70.74 L176.8,70.74 L178.4,70.74 L180.1,70.75 L181.8,70.75 L183.5,70.75 L185.2,70.75 L186.9,70.75 L188.6,70.75 L190.2,70.76 L191.9,70.76 L193.6,70.76 L195.3,70.76 L197,70.76 L198.7,70.76 L200.3,70.76 L202,70.77 L203.7,70.77 L205.4,70.77 L207.1,70.77 L208.8,70.77 L210.4,70.77 L212.1,70.77 L213.8,70.77 L215.5,70.77 L217.2,70.77 L218.9,70.77 L220.6,70.77 L222.2,70.77 L223.9,70.77 L225.6,70.77 L227.3,70.77 L229,70.77 L230.7,70.77 L232.3,70.77 L234,70.77 L235.7,70.77 L237.4,70.77 L239.1,70.77 L240.8,70.77 L242.4,70.77 L244.1,70.77 L245.8,70.77 L247.5,70.77 L249.2,70.77 L250.9,70.77 L252.6,70.77 L254.2,70.77 L255.9,70.77 L257.6,70.77 L259.3,70.77 L261,70.77 L262.7,70.77 L264.3,70.77 L266,70.77 L267.7,70.77 L269.4,70.77 L271.1,70.76 L272.8,70.76 L274.4,70.76 L276.1,70.76 L277.8,70.76 L279.5,70.76 L281.2,70.76 L282.9,70.76 L284.5,70.75 L286.2,70.75 L287.9,70.75 L289.6,70.75 L291.3,70.75 L293,70.75 L294.7,70.74 L296.3,70.74 L298,70.74 L299.7,70.74 L301.4,70.73 L303.1,70.73 L304.8,70.73 L306.4,70.72 L308.1,70.72 L309.8,70.72 L311.5,70.71 L313.2,70.71 L314.9,70.71 L316.5,70.7 L318.2,70.7 L319.9,70.69 L321.6,70.69 L323.3,70.68 L325,70.67 L326.7,70.67 L328.3,70.66 L330,70.65 L331.7,70.64 L333.4,70.63 L335.1,70.62 L336.8,70.61 L338.4,70.59 L340.1,70.58 L341.8,70.56 L343.5,70.55 L345.2,70.53 L346.9,70.5 L348.5,70.48 L350.2,70.44 L351.9,70.41 L353.6,70.37 L355.3,70.32 L357,70.25 L358.6,70.17 L360.3,70.07 L362,69.94 L363.7,69.75 L365.4,69.46 L367.1,68.99 L368.8,68.03 L370.4,65.12 L372.1,341 L373.8,76.41 L375.5,73.68 L377.2,72.75 L378.9,72.29 L380.5,72.01 L382.2,71.82 L383.9,71.69 L385.6,71.59 L387.3,71.51 L389,71.45 L390.6,71.4 L392.3,71.36 L394,71.32 L395.7,71.29 L397.4,71.27 L399.1,71.24 L400.8,71.22 L402.4,71.2 L404.1,71.19 L405.8,71.17 L407.5,71.16 L409.2,71.15 L410.9,71.14 L412.5,71.13 L414.2,71.12 L415.9,71.11 L417.6,71.1 L419.3,71.1 L421,71.09 L422.6,71.08 L424.3,71.08 L426,71.07 L427.7,71.07 L429.4,71.06 L431.1,71.06 L432.8,71.05 L434.4,71.05 L436.1,71.05 L437.8,71.04 L439.5,71.04 L441.2,71.04 L442.9,71.03 L444.5,71.03 L446.2,71.03 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(139,0,0)" stroke-width="1"><path d="M109.4,69.78 L111.1,69.96 L112.8,70.09 L114.5,70.19 L116.1,70.26 L117.8,70.32 L119.5,70.37 L121.2,70.41 L122.9,70.45 L124.6,70.48 L126.2,70.5 L127.9,70.53 L129.6,70.55 L131.3,70.57 L133,70.58 L134.7,70.6 L136.3,70.61 L138,70.62 L139.7,70.63 L141.4,70.64 L143.1,70.65 L144.8,70.66 L146.5,70.66 L148.1,70.67 L149.8,70.68 L151.5,70.68 L153.2,70.69 L154.9,70.69 L156.6,70.7 L158.2,70.7 L159.9,70.71 L161.6,70.71 L163.3,70.72 L165,70.72 L166.7,70.72 L168.3,70.73 L170,70.73 L171.7,70.73 L173.4,70.73 L175.1,70.74 L176.8,70.74 L178.4,70.74 L180.1,70.74 L181.8,70.74 L183.5,70.75 L185.2,70.75 L186.9,70.75 L188.6,70.75 L190.2,70.75 L191.9,70.75 L193.6,70.76 L195.3,70.76 L197,70.76 L198.7,70.76 L200.3,70.76 L202,70.76 L203.7,70.76 L205.4,70.76 L207.1,70.77 L208.8,70.77 L210.4,70.77 L212.1,70.77 L213.8,70.77 L215.5,70.77 L217.2,70.77 L218.9,70.77 L220.6,70.77 L222.2,70.77 L223.9,70.77 L225.6,70.77 L227.3,70.77 L229,70.77 L230.7,70.77 L232.3,70.77 L234,70.77 L235.7,70.77 L237.4,70.77 L239.1,70.77 L240.8,70.77 L242.4,70.77 L244.1,70.77 L245.8,70.77 L247.5,70.77 L249.2,70.77 L250.9,70.77 L252.6,70.77 L254.2,70.77 L255.9,70.77 L257.6,70.77 L259.3,70.77 L261,70.77 L262.7,70.77 L264.3,70.77 L266,70.77 L267.7,70.77 L269.4,70.77 L271.1,70.77 L272.8,70.77 L274.4,70.77 L276.1,70.77 L277.8,70.77 L279.5,70.77 L281.2,70.77 L282.9,70.77 L284.5,70.77 L286.2,70.76 L287.9,70.76 L289.6,70.76 L291.3,70.76 L293,70.76 L294.7,70.76 L296.3,70.76 L298,70.76 L299.7,70.76 L301.4,70.75 L303.1,70.75 L304.8,70.75 L306.4,70.75 L308.1,70.75 L309.8,70.75 L311.5,70.74 L313.2,70.74 L314.9,70.74 L316.5,70.74 L318.2,70.74 L319.9,70.73 L321.6,70.73 L323.3,70.73 L325,70.72 L326.7,70.72 L328.3,70.72 L330,70.71 L331.7,70.71 L333.4,70.71 L335.1,70.7 L336.8,70.7 L338.4,70.69 L340.1,70.69 L341.8,70.68 L343.5,70.68 L345.2,70.67 L346.9,70.66 L348.5,70.65 L350.2,70.65 L351.9,70.64 L353.6,70.63 L355.3,70.62 L357,70.6 L358.6,70.59 L360.3,70.58 L362,70.56 L363.7,70.54 L365.4,70.52 L367.1,70.5 L368.8,70.47 L370.4,70.44 L372.1,70.4 L373.8,70.36 L375.5,70.3 L377.2,70.24 L378.9,70.15 L380.5,70.05 L382.2,69.9 L383.9,69.7 L385.6,69.39 L387.3,68.85 L389,67.69 L390.6,63.55 L392.3,95.34 L394,75.47 L395.7,73.41 L397.4,72.63 L399.1,72.22 L400.8,71.97 L402.4,71.79 L404.1,71.67 L405.8,71.57 L407.5,71.5 L409.2,71.44 L410.9,71.39 L412.5,71.35 L414.2,71.32 L415.9,71.29 L417.6,71.26 L419.3,71.24 L421,71.22 L422.6,71.2 L424.3,71.19 L426,71.17 L427.7,71.16 L429.4,71.15 L431.1,71.14 L432.8,71.13 L434.4,71.12 L436.1,71.11 L437.8,71.1 L439.5,71.1 L441.2,71.09 L442.9,71.08 L444.5,71.08 L446.2,71.07 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(0,100,0)" stroke-width="1"><path d="M109.4,69.78 L111.1,69.96 L112.8,70.09 L114.5,70.19 L116.1,70.26 L117.8,70.32 L119.5,70.37 L121.2,70.41 L122.9,70.45 L124.6,70.48 L126.2,70.5 L127.9,70.53 L129.6,70.55 L131.3,70.56 L133,70.58 L134.7,70.59 L136.3,70.61 L138,70.62 L139.7,70.63 L141.4,70.64 L143.1,70.65 L144.8,70.65 L146.5,70.66 L148.1,70.67 L149.8,70.67 L151.5,70.68 L153.2,70.69 L154.9,70.69 L156.6,70.7 L158.2,70.7 L159.9,70.7 L161.6,70.71 L163.3,70.71 L165,70.72 L166.7,70.72 L168.3,70.72 L170,70.72 L171.7,70.73 L173.4,70.73 L175.1,70.73 L176.8,70.73 L178.4,70.74 L180.1,70.74 L181.8,70.74 L183.5,70.74 L185.2,70.74 L186.9,70.75 L188.6,70.75 L190.2,70.75 L191.9,70.75 L193.6,70.75 L195.3,70.75 L197,70.75 L198.7,70.76 L200.3,70.76 L202,70.76 L203.7,70.76 L205.4,70.76 L207.1,70.76 L208.8,70.76 L210.4,70.76 L212.1,70.76 L213.8,70.76 L215.5,70.77 L217.2,70.77 L218.9,70.77 L220.6,70.77 L222.2,70.77 L223.9,70.77 L225.6,70.77 L227.3,70.77 L229,70.77 L230.7,70.77 L232.3,70.77 L234,70.77 L235.7,70.77 L237.4,70.77 L239.1,70.77 L240.8,70.77 L242.4,70.77 L244.1,70.77 L245.8,70.77 L247.5,70.77 L249.2,70.77 L250.9,70.77 L252.6,70.77 L254.2,70.77 L255.9,70.77 L257.6,70.77 L259.3,70.77 L261,70.77 L262.7,70.77 L264.3,70.77 L266,70.77 L267.7,70.77 L269.4,70.77 L271.1,70.77 L272.8,70.77 L274.4,70.77 L276.1,70.77 L277.8,70.77 L279.5,70.77 L281.2,70.77 L282.9,70.77 L284.5,70.77 L286.2,70.77 L287.9,70.77 L289.6,70.77 L291.3,70.77 L293,70.77 L294.7,70.77 L296.3,70.77 L298,70.77 L299.7,70.77 L301.4,70.77 L303.1,70.77 L304.8,70.77 L306.4,70.77 L308.1,70.77 L309.8,70.77 L311.5,70.77 L313.2,70.77 L314.9,70.77 L316.5,70.76 L318.2,70.76 L319.9,70.76 L321.6,70.76 L323.3,70.76 L325,70.76 L326.7,70.76 L328.3,70.76 L330,70.76 L331.7,70.76 L333.4,70.76 L335.1,70.75 L336.8,70.75 L338.4,70.75 L340.1,70.75 L341.8,70.75 L343.5,70.75 L345.2,70.75 L346.9,70.74 L348.5,70.74 L350.2,70.74 L351.9,70.74 L353.6,70.74 L355.3,70.73 L357,70.73 L358.6,70.73 L360.3,70.73 L362,70.72 L363.7,70.72 L365.4,70.72 L367.1,70.71 L368.8,70.71 L370.4,70.71 L372.1,70.7 L373.8,70.7 L375.5,70.69 L377.2,70.69 L378.9,70.68 L380.5,70.68 L382.2,70.67 L383.9,70.67 L385.6,70.66 L387.3,70.65 L389,70.64 L390.6,70.63 L392.3,70.62 L394,70.61 L395.7,70.6 L397.4,70.59 L399.1,70.57 L400.8,70.56 L402.4,70.54 L404.1,70.52 L405.8,70.5 L407.5,70.47 L409.2,70.44 L410.9,70.4 L412.5,70.36 L414.2,70.31 L415.9,70.24 L417.6,70.16 L419.3,70.06 L421,69.92 L422.6,69.72 L424.3,69.42 L426,68.92 L427.7,67.87 L429.4,64.4 L431.1,114.5 L432.8,75.88 L434.4,73.54 L436.1,72.69 L437.8,72.25 L439.5,71.99 L441.2,71.81 L442.9,71.68 L444.5,71.58 L446.2,71.51 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(255,140,0)" stroke-width="1"><path d="M109.4,69.78 L111.1,69.96 L112.8,70.09 L114.5,70.18 L116.1,70.26 L117.8,70.32 L119.5,70.37 L121.2,70.41 L122.9,70.45 L124.6,70.48 L126.2,70.5 L127.9,70.52 L129.6,70.54 L131.3,70.56 L133,70.58 L134.7,70.59 L136.3,70.6 L138,70.61 L139.7,70.62 L141.4,70.63 L143.1,70.64 L144.8,70.65 L146.5,70.66 L148.1,70.67 L149.8,70.67 L151.5,70.68 L153.2,70.68 L154.9,70.69 L156.6,70.69 L158.2,70.7 L159.9,70.7 L161.6,70.7 L163.3,70.71 L165,70.71 L166.7,70.71 L168.3,70.72 L170,70.72 L171.7,70.72 L173.4,70.73 L175.1,70.73 L176.8,70.73 L178.4,70.73 L180.1,70.73 L181.8,70.74 L183.5,70.74 L185.2,70.74 L186.9,70.74 L188.6,70.74 L190.2,70.74 L191.9,70.75 L193.6,70.75 L195.3,70.75 L197,70.75 L198.7,70.75 L200.3,70.75 L202,70.75 L203.7,70.75 L205.4,70.75 L207.1,70.76 L208.8,70.76 L210.4,70.76 L212.1,70.76 L213.8,70.76 L215.5,70.76 L217.2,70.76 L218.9,70.76 L220.6,70.76 L222.2,70.76 L223.9,70.76 L225.6,70.76 L227.3,70.76 L229,70.76 L230.7,70.76 L232.3,70.77 L234,70.77 L235.7,70.77 L237.4,70.77 L239.1,70.77 L240.8,70.77 L242.4,70.77 L244.1,70.77 L245.8,70.77 L247.5,70.77 L249.2,70.77 L250.9,70.77 L252.6,70.77 L254.2,70.77 L255.9,70.77 L257.6,70.77 L259.3,70.77 L261,70.77 L262.7,70.77 L264.3,70.77 L266,70.77 L267.7,70.77 L269.4,70.77 L271.1,70.77 L272.8,70.77 L274.4,70.77 L276.1,70.77 L277.8,70.77 L279.5,70.77 L281.2,70.77 L282.9,70.77 L284.5,70.77 L286.2,70.77 L287.9,70.77 L289.6,70.77 L291.3,70.77 L293,70.77 L294.7,70.77 L296.3,70.77 L298,70.77 L299.7,70.77 L301.4,70.77 L303.1,70.77 L304.8,70.77 L306.4,70.77 L308.1,70.77 L309.8,70.77 L311.5,70.77 L313.2,70.77 L314.9,70.77 L316.5,70.77 L318.2,70.77 L319.9,70.77 L321.6,70.77 L323.3,70.77 L325,70.77 L326.7,70.77 L328.3,70.77 L330,70.77 L331.7,70.77 L333.4,70.77 L335.1,70.77 L336.8,70.77 L338.4,70.77 L340.1,70.77 L341.8,70.77 L343.5,70.77 L345.2,70.77 L346.9,70.77 L348.5,70.77 L350.2,70.77 L351.9,70.77 L353.6,70.77 L355.3,70.77 L357,70.77 L358.6,70.77 L360.3,70.77 L362,70.77 L363.7,70.77 L365.4,70.77 L367.1,70.77 L368.8,70.77 L370.4,70.77 L372.1,70.77 L373.8,70.77 L375.5,70.77 L377.2,70.77 L378.9,70.77 L380.5,70.77 L382.2,70.77 L383.9,70.77 L385.6,70.77 L387.3,70.77 L389,70.77 L390.6,70.77 L392.3,70.77 L394,70.77 L395.7,70.77 L397.4,70.77 L399.1,70.77 L400.8,70.77 L402.4,70.77 L404.1,70.77 L405.8,70.77 L407.5,70.77 L409.2,70.77 L410.9,70.77 L412.5,70.77 L414.2,70.77 L415.9,70.77 L417.6,70.77 L419.3,70.76 L421,70.76 L422.6,70.76 L424.3,70.76 L426,70.76 L427.7,70.76 L429.4,70.76 L431.1,70.76 L432.8,70.76 L434.4,70.76 L436.1,70.76 L437.8,70.76 L439.5,70.76 L441.2,70.76 L442.9,70.76 L444.5,70.75 L446.2,70.75 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(127,255,0)" stroke-width="1"><path d="M109.4,69.78 L111.1,69.96 L112.8,70.09 L114.5,70.18 L116.1,70.26 L117.8,70.32 L119.5,70.37 L121.2,70.41 L122.9,70.45 L124.6,70.47 L126.2,70.5 L127.9,70.52 L129.6,70.54 L131.3,70.56 L133,70.58 L134.7,70.59 L136.3,70.6 L138,70.61 L139.7,70.62 L141.4,70.63 L143.1,70.64 L144.8,70.65 L146.5,70.66 L148.1,70.66 L149.8,70.67 L151.5,70.68 L153.2,70.68 L154.9,70.69 L156.6,70.69 L158.2,70.7 L159.9,70.7 L161.6,70.7 L163.3,70.71 L165,70.71 L166.7,70.71 L168.3,70.72 L170,70.72 L171.7,70.72 L173.4,70.72 L175.1,70.73 L176.8,70.73 L178.4,70.73 L180.1,70.73 L181.8,70.73 L183.5,70.74 L185.2,70.74 L186.9,70.74 L188.6,70.74 L190.2,70.74 L191.9,70.74 L193.6,70.75 L195.3,70.75 L197,70.75 L198.7,70.75 L200.3,70.75 L202,70.75 L203.7,70.75 L205.4,70.75 L207.1,70.75 L208.8,70.75 L210.4,70.76 L212.1,70.76 L213.8,70.76 L215.5,70.76 L217.2,70.76 L218.9,70.76 L220.6,70.76 L222.2,70.76 L223.9,70.76 L225.6,70.76 L227.3,70.76 L229,70.76 L230.7,70.76 L232.3,70.76 L234,70.76 L235.7,70.76 L237.4,70.76 L239.1,70.77 L240.8,70.77 L242.4,70.77 L244.1,70.77 L245.8,70.77 L247.5,70.77 L249.2,70.77 L250.9,70.77 L252.6,70.77 L254.2,70.77 L255.9,70.77 L257.6,70.77 L259.3,70.77 L261,70.77 L262.7,70.77 L264.3,70.77 L266,70.77 L267.7,70.77 L269.4,70.77 L271.1,70.77 L272.8,70.77 L274.4,70.77 L276.1,70.77 L277.8,70.77 L279.5,70.77 L281.2,70.77 L282.9,70.77 L284.5,70.77 L286.2,70.77 L287.9,70.77 L289.6,70.77 L291.3,70.77 L293,70.77 L294.7,70.77 L296.3,70.77 L298,70.77 L299.7,70.77 L301.4,70.77 L303.1,70.77 L304.8,70.77 L306.4,70.77 L308.1,70.77 L309.8,70.77 L311.5,70.77 L313.2,70.77 L314.9,70.77 L316.5,70.77 L318.2,70.77 L319.9,70.77 L321.6,70.77 L323.3,70.77 L325,70.77 L326.7,70.77 L328.3,70.77 L330,70.77 L331.7,70.77 L333.4,70.77 L335.1,70.77 L336.8,70.77 L338.4,70.77 L340.1,70.77 L341.8,70.77 L343.5,70.77 L345.2,70.77 L346.9,70.77 L348.5,70.77 L350.2,70.77 L351.9,70.77 L353.6,70.77 L355.3,70.77 L357,70.77 L358.6,70.77 L360.3,70.77 L362,70.77 L363.7,70.77 L365.4,70.77 L367.1,70.77 L368.8,70.77 L370.4,70.77 L372.1,70.77 L373.8,70.77 L375.5,70.77 L377.2,70.77 L378.9,70.77 L380.5,70.77 L382.2,70.77 L383.9,70.77 L385.6,70.77 L387.3,70.77 L389,70.77 L390.6,70.77 L392.3,70.77 L394,70.77 L395.7,70.77 L397.4,70.77 L399.1,70.77 L400.8,70.77 L402.4,70.77 L404.1,70.77 L405.8,70.77 L407.5,70.77 L409.2,70.77 L410.9,70.77 L412.5,70.77 L414.2,70.77 L415.9,70.77 L417.6,70.77 L419.3,70.77 L421,70.77 L422.6,70.77 L424.3,70.77 L426,70.77 L427.7,70.77 L429.4,70.77 L431.1,70.77 L432.8,70.77 L434.4,70.77 L436.1,70.77 L437.8,70.77 L439.5,70.77 L441.2,70.77 L442.9,70.77 L444.5,70.77 L446.2,70.77 " fill="none"/></g>
</g>
<g id="plotPoints" clip-path="url(#plot_window)"></g>
<g id="legendBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="1"><rect x="467" y="58" width="107" height="154"/><rect x="467" y="58" width="107" height="154"/></g>
<g id="legendPoints"><g stroke="rgb(0,0,139)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="86" x2="495" y2="86"/></g>
<g stroke="rgb(139,0,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="114" x2="495" y2="114"/></g>
<g stroke="rgb(0,100,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="142" x2="495" y2="142"/></g>
<g stroke="rgb(255,140,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="170" x2="495" y2="170"/></g>
<g stroke="rgb(127,255,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="198" x2="495" y2="198"/></g>
</g>
<g id="legendText">
<text x="502" y="86" font-size="14" font-family="Verdana">k=0</text>
<text x="502" y="114" font-size="14" font-family="Verdana">k=0.5</text>
<text x="502" y="142" font-size="14" font-family="Verdana">k=0.75</text>
<text x="502" y="170" font-size="14" font-family="Verdana">k=0.95</text>
<text x="502" y="198" font-size="14" font-family="Verdana">k=1</text></g>
<g id="title">
<text x="300" y="40" text-anchor="middle" font-size="20" font-family="Verdana">Jacobi Elliptic ns</text></g>
<g id="plotXValues"></g>
<g id="plotYValues"></g>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 19 KiB

BIN
doc/sf_and_dist/graphs/jacobi_sc.png Normal file
View File

Binary file not shown.
Side by Side

After

Width:  |  Height:  |  Size: 36 KiB

85
doc/sf_and_dist/graphs/jacobi_sc.svg Normal file
View File

@@ -0,0 +1,85 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<svg width="600" height ="400" version="1.1"
xmlns:svg ="http://www.w3.org/2000/svg"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cc="http://web.resource.org/cc/"
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns ="http://www.w3.org/2000/svg"
>
<!-- SVG plot written using Boost.Plot program (Creator Jacob Voytko) -->
<!-- Use, modification and distribution of Boost.Plot subject to the -->
<!-- Boost Software License, Version 1.0.-->
<!-- (See accompanying file LICENSE_1_0.txt -->
<!-- or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<!-- SVG Plot Copyright John Maddock 2008 -->
<meta name="copyright" content="John Maddock" />
<meta name="date" content="2008" />
<!-- Use, modification and distribution of this Scalable Vector Graphic file -->
<!-- are subject to the Boost Software License, Version 1.0. -->
<!-- (See accompanying file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<clipPath id="plot_window"><rect x="93.6" y="59" width="358.4" height="281"/></clipPath>
<g id="imageBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="0" y="0" width="600" height="400"/></g>
<g id="plotBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="92.6" y="58" width="360.4" height="283"/></g>
<g id="yMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="yMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="xMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="xMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="yAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="269.2" y1="58" x2="269.2" y2="346"/><line x1="92.6" y1="58" x2="92.6" y2="341"/></g>
<g id="xAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="87.6" y1="202.3" x2="453" y2="202.3"/><line x1="87.6" y1="341" x2="453" y2="341"/></g>
<g id="yMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M90.6,191.5 L92.6,191.5 M90.6,180.6 L92.6,180.6 M90.6,169.8 L92.6,169.8 M90.6,148.2 L92.6,148.2 M90.6,137.4 L92.6,137.4 M90.6,126.6 L92.6,126.6 M90.6,104.9 L92.6,104.9 M90.6,94.1 L92.6,94.1 M90.6,83.28 L92.6,83.28 M90.6,61.65 L92.6,61.65 M90.6,202.3 L92.6,202.3 M90.6,213.1 L92.6,213.1 M90.6,223.9 L92.6,223.9 M90.6,234.7 L92.6,234.7 M90.6,245.5 L92.6,245.5 M90.6,256.4 L92.6,256.4 M90.6,267.2 L92.6,267.2 M90.6,278 L92.6,278 M90.6,288.8 L92.6,288.8 M90.6,299.6 L92.6,299.6 M90.6,310.4 L92.6,310.4 M90.6,321.3 L92.6,321.3 M90.6,332.1 L92.6,332.1 " fill="none"/></g>
<g id="xMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M278.1,341 L278.1,343 M286.9,341 L286.9,343 M295.7,341 L295.7,343 M313.4,341 L313.4,343 M322.2,341 L322.2,343 M331.1,341 L331.1,343 M348.7,341 L348.7,343 M357.6,341 L357.6,343 M366.4,341 L366.4,343 M384.1,341 L384.1,343 M392.9,341 L392.9,343 M401.7,341 L401.7,343 M419.4,341 L419.4,343 M428.2,341 L428.2,343 M437.1,341 L437.1,343 M260.4,341 L260.4,343 M251.6,341 L251.6,343 M242.8,341 L242.8,343 M225.1,341 L225.1,343 M216.3,341 L216.3,343 M207.4,341 L207.4,343 M189.8,341 L189.8,343 M180.9,341 L180.9,343 M172.1,341 L172.1,343 M154.4,341 L154.4,343 M145.6,341 L145.6,343 M136.8,341 L136.8,343 M119.1,341 L119.1,343 M110.3,341 L110.3,343 M101.4,341 L101.4,343 " fill="none"/></g>
<g id="yMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M87.6,202.3 L92.6,202.3 M87.6,159 L92.6,159 M87.6,115.7 L92.6,115.7 M87.6,72.47 L92.6,72.47 M87.6,202.3 L92.6,202.3 M87.6,245.5 L92.6,245.5 M87.6,288.8 L92.6,288.8 M87.6,332.1 L92.6,332.1 " fill="none"/></g>
<g id="xMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M269.2,341 L269.2,346 M304.6,341 L304.6,346 M339.9,341 L339.9,346 M375.2,341 L375.2,346 M410.6,341 L410.6,346 M445.9,341 L445.9,346 M269.2,341 L269.2,346 M233.9,341 L233.9,346 M198.6,341 L198.6,346 M163.3,341 L163.3,346 M127.9,341 L127.9,346 M92.6,341 L92.6,346 " fill="none"/></g>
<g id="xTicksValues">
<text x="269.2" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">0</text>
<text x="304.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">1</text>
<text x="339.9" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">2</text>
<text x="375.2" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">3</text>
<text x="410.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">4</text>
<text x="445.9" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">5</text>
<text x="269.2" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">0</text>
<text x="233.9" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-1</text>
<text x="198.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-2</text>
<text x="163.3" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-3</text>
<text x="127.9" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-4</text>
<text x="92.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-5</text></g>
<g id="yTicksValues">
<text x="81.6" y="204.7" text-anchor="end" font-size="12" font-family="Verdana">0</text>
<text x="81.6" y="161.4" text-anchor="end" font-size="12" font-family="Verdana">100</text>
<text x="81.6" y="118.1" text-anchor="end" font-size="12" font-family="Verdana">200</text>
<text x="81.6" y="74.87" text-anchor="end" font-size="12" font-family="Verdana">300</text>
<text x="81.6" y="204.7" text-anchor="end" font-size="12" font-family="Verdana">0</text>
<text x="81.6" y="247.9" text-anchor="end" font-size="12" font-family="Verdana">-100</text>
<text x="81.6" y="291.2" text-anchor="end" font-size="12" font-family="Verdana">-200</text>
<text x="81.6" y="334.5" text-anchor="end" font-size="12" font-family="Verdana">-300</text></g>
<g id="yLabel">
<text x="42.9" y="199.5" text-anchor="middle" transform = "rotate(-90 42.9 199.5 )" font-size="14" font-family="Verdana">jacobi_sc(k, u)</text></g>
<g id="xLabel">
<text x="272.8" y="376.7" text-anchor="middle" font-size="14" font-family="Verdana">k</text></g>
<g id="plotLines" stroke-width="2"><g clip-path="url(#plot_window)" stroke="rgb(0,0,139)" stroke-width="1"><path d="M92.6,200.8 L94.37,200.5 L96.13,200 L97.9,199.2 L99.67,197.3 L101.4,190.8 L103.2,237.2 L105,209.2 L106.7,206.1 L108.5,204.9 L110.3,204.3 L112,203.9 L113.8,203.6 L115.6,203.4 L117.3,203.3 L119.1,203.1 L120.9,203 L122.6,203 L124.4,202.9 L126.2,202.8 L127.9,202.8 L129.7,202.7 L131.5,202.7 L133.2,202.6 L135,202.6 L136.8,202.6 L138.5,202.5 L140.3,202.5 L142.1,202.5 L143.8,202.5 L145.6,202.4 L147.4,202.4 L149.1,202.4 L150.9,202.4 L152.7,202.3 L154.4,202.3 L156.2,202.3 L158,202.3 L159.7,202.3 L161.5,202.2 L163.3,202.2 L165,202.2 L166.8,202.2 L168.6,202.1 L170.3,202.1 L172.1,202.1 L173.9,202.1 L175.6,202 L177.4,202 L179.2,202 L180.9,202 L182.7,201.9 L184.5,201.9 L186.2,201.8 L188,201.8 L189.8,201.7 L191.5,201.7 L193.3,201.6 L195.1,201.5 L196.8,201.4 L198.6,201.3 L200.4,201.2 L202.1,201 L203.9,200.8 L205.7,200.4 L207.4,199.9 L209.2,198.9 L211,196.8 L212.7,187.5 L214.5,223.1 L216.3,208.4 L218,205.8 L219.8,204.8 L221.6,204.2 L223.3,203.8 L225.1,203.6 L226.9,203.4 L228.6,203.2 L230.4,203.1 L232.2,203 L233.9,202.9 L235.7,202.9 L237.5,202.8 L239.2,202.8 L241,202.7 L242.7,202.7 L244.5,202.6 L246.3,202.6 L248,202.6 L249.8,202.5 L251.6,202.5 L253.3,202.5 L255.1,202.5 L256.9,202.4 L258.6,202.4 L260.4,202.4 L262.2,202.4 L263.9,202.3 L265.7,202.3 L267.5,202.3 L269.2,202.3 L271,202.3 L272.8,202.2 L274.5,202.2 L276.3,202.2 L278.1,202.2 L279.8,202.1 L281.6,202.1 L283.4,202.1 L285.1,202.1 L286.9,202 L288.7,202 L290.4,202 L292.2,201.9 L294,201.9 L295.7,201.9 L297.5,201.8 L299.3,201.8 L301,201.7 L302.8,201.7 L304.6,201.6 L306.3,201.5 L308.1,201.4 L309.9,201.3 L311.6,201.2 L313.4,201 L315.2,200.7 L316.9,200.3 L318.7,199.8 L320.5,198.7 L322.2,196.2 L324,181.5 L325.8,217.1 L327.5,207.7 L329.3,205.6 L331.1,204.7 L332.8,204.1 L334.6,203.8 L336.4,203.5 L338.1,203.4 L339.9,203.2 L341.7,203.1 L343.4,203 L345.2,202.9 L347,202.9 L348.7,202.8 L350.5,202.8 L352.3,202.7 L354,202.7 L355.8,202.6 L357.6,202.6 L359.3,202.6 L361.1,202.5 L362.9,202.5 L364.6,202.5 L366.4,202.5 L368.2,202.4 L369.9,202.4 L371.7,202.4 L373.5,202.4 L375.2,202.3 L377,202.3 L378.8,202.3 L380.5,202.3 L382.3,202.2 L384.1,202.2 L385.8,202.2 L387.6,202.2 L389.4,202.2 L391.1,202.1 L392.9,202.1 L394.7,202.1 L396.4,202.1 L398.2,202 L400,202 L401.7,202 L403.5,201.9 L405.3,201.9 L407,201.9 L408.8,201.8 L410.6,201.8 L412.3,201.7 L414.1,201.7 L415.9,201.6 L417.6,201.5 L419.4,201.4 L421.2,201.3 L422.9,201.1 L424.7,200.9 L426.5,200.7 L428.2,200.3 L430,199.6 L431.8,198.4 L433.5,195.3 L435.3,167.4 L437.1,213.8 L438.8,207.2 L440.6,205.4 L442.4,204.6 L444.1,204.1 L445.9,203.7 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(139,0,0)" stroke-width="1"><path d="M92.6,211 L94.37,206.9 L96.13,205.4 L97.9,204.7 L99.67,204.2 L101.4,203.9 L103.2,203.6 L105,203.4 L106.7,203.3 L108.5,203.2 L110.3,203.1 L112,203 L113.8,202.9 L115.6,202.9 L117.3,202.8 L119.1,202.8 L120.9,202.7 L122.6,202.7 L124.4,202.6 L126.2,202.6 L127.9,202.6 L129.7,202.6 L131.5,202.5 L133.2,202.5 L135,202.5 L136.8,202.4 L138.5,202.4 L140.3,202.4 L142.1,202.4 L143.8,202.4 L145.6,202.3 L147.4,202.3 L149.1,202.3 L150.9,202.3 L152.7,202.2 L154.4,202.2 L156.2,202.2 L158,202.2 L159.7,202.2 L161.5,202.1 L163.3,202.1 L165,202.1 L166.8,202.1 L168.6,202 L170.3,202 L172.1,202 L173.9,201.9 L175.6,201.9 L177.4,201.9 L179.2,201.8 L180.9,201.8 L182.7,201.7 L184.5,201.7 L186.2,201.6 L188,201.6 L189.8,201.5 L191.5,201.4 L193.3,201.3 L195.1,201.1 L196.8,201 L198.6,200.7 L200.4,200.4 L202.1,200 L203.9,199.3 L205.7,197.9 L207.4,194.5 L209.2,167.2 L211,216.2 L212.7,208.1 L214.5,205.9 L216.3,204.9 L218,204.4 L219.8,204 L221.6,203.7 L223.3,203.5 L225.1,203.4 L226.9,203.2 L228.6,203.1 L230.4,203 L232.2,203 L233.9,202.9 L235.7,202.8 L237.5,202.8 L239.2,202.7 L241,202.7 L242.7,202.7 L244.5,202.6 L246.3,202.6 L248,202.6 L249.8,202.5 L251.6,202.5 L253.3,202.5 L255.1,202.5 L256.9,202.4 L258.6,202.4 L260.4,202.4 L262.2,202.4 L263.9,202.3 L265.7,202.3 L267.5,202.3 L269.2,202.3 L271,202.3 L272.8,202.2 L274.5,202.2 L276.3,202.2 L278.1,202.2 L279.8,202.1 L281.6,202.1 L283.4,202.1 L285.1,202.1 L286.9,202 L288.7,202 L290.4,202 L292.2,202 L294,201.9 L295.7,201.9 L297.5,201.8 L299.3,201.8 L301,201.8 L302.8,201.7 L304.6,201.6 L306.3,201.6 L308.1,201.5 L309.9,201.4 L311.6,201.3 L313.4,201.2 L315.2,201 L316.9,200.8 L318.7,200.6 L320.5,200.2 L322.2,199.6 L324,198.6 L325.8,196.5 L327.5,188.3 L329.3,237.3 L331.1,210 L332.8,206.6 L334.6,205.3 L336.4,204.6 L338.1,204.1 L339.9,203.8 L341.7,203.6 L343.4,203.4 L345.2,203.3 L347,203.2 L348.7,203.1 L350.5,203 L352.3,202.9 L354,202.9 L355.8,202.8 L357.6,202.8 L359.3,202.7 L361.1,202.7 L362.9,202.6 L364.6,202.6 L366.4,202.6 L368.2,202.5 L369.9,202.5 L371.7,202.5 L373.5,202.5 L375.2,202.4 L377,202.4 L378.8,202.4 L380.5,202.4 L382.3,202.3 L384.1,202.3 L385.8,202.3 L387.6,202.3 L389.4,202.3 L391.1,202.2 L392.9,202.2 L394.7,202.2 L396.4,202.2 L398.2,202.2 L400,202.1 L401.7,202.1 L403.5,202.1 L405.3,202.1 L407,202 L408.8,202 L410.6,202 L412.3,201.9 L414.1,201.9 L415.9,201.9 L417.6,201.8 L419.4,201.8 L421.2,201.7 L422.9,201.7 L424.7,201.6 L426.5,201.5 L428.2,201.5 L430,201.4 L431.8,201.2 L433.5,201.1 L435.3,200.9 L437.1,200.7 L438.8,200.4 L440.6,199.9 L442.4,199.1 L444.1,197.6 L445.9,193.6 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(0,100,0)" stroke-width="1"><path d="M92.6,203.1 L94.37,203 L96.13,202.9 L97.9,202.9 L99.67,202.8 L101.4,202.8 L103.2,202.7 L105,202.7 L106.7,202.7 L108.5,202.6 L110.3,202.6 L112,202.6 L113.8,202.5 L115.6,202.5 L117.3,202.5 L119.1,202.5 L120.9,202.4 L122.6,202.4 L124.4,202.4 L126.2,202.4 L127.9,202.4 L129.7,202.3 L131.5,202.3 L133.2,202.3 L135,202.3 L136.8,202.2 L138.5,202.2 L140.3,202.2 L142.1,202.2 L143.8,202.2 L145.6,202.1 L147.4,202.1 L149.1,202.1 L150.9,202.1 L152.7,202 L154.4,202 L156.2,202 L158,201.9 L159.7,201.9 L161.5,201.9 L163.3,201.8 L165,201.8 L166.8,201.8 L168.6,201.7 L170.3,201.7 L172.1,201.6 L173.9,201.6 L175.6,201.5 L177.4,201.4 L179.2,201.4 L180.9,201.3 L182.7,201.1 L184.5,201 L186.2,200.9 L188,200.7 L189.8,200.4 L191.5,200.1 L193.3,199.6 L195.1,198.8 L196.8,197.6 L198.6,194.9 L200.4,185.5 L202.1,261.8 L203.9,213 L205.7,208.2 L207.4,206.3 L209.2,205.3 L211,204.7 L212.7,204.3 L214.5,204 L216.3,203.8 L218,203.6 L219.8,203.5 L221.6,203.4 L223.3,203.2 L225.1,203.2 L226.9,203.1 L228.6,203 L230.4,203 L232.2,202.9 L233.9,202.8 L235.7,202.8 L237.5,202.8 L239.2,202.7 L241,202.7 L242.7,202.7 L244.5,202.6 L246.3,202.6 L248,202.6 L249.8,202.5 L251.6,202.5 L253.3,202.5 L255.1,202.5 L256.9,202.4 L258.6,202.4 L260.4,202.4 L262.2,202.4 L263.9,202.3 L265.7,202.3 L267.5,202.3 L269.2,202.3 L271,202.3 L272.8,202.2 L274.5,202.2 L276.3,202.2 L278.1,202.2 L279.8,202.1 L281.6,202.1 L283.4,202.1 L285.1,202.1 L286.9,202 L288.7,202 L290.4,202 L292.2,202 L294,201.9 L295.7,201.9 L297.5,201.9 L299.3,201.8 L301,201.8 L302.8,201.7 L304.6,201.7 L306.3,201.7 L308.1,201.6 L309.9,201.5 L311.6,201.5 L313.4,201.4 L315.2,201.3 L316.9,201.2 L318.7,201.1 L320.5,200.9 L322.2,200.7 L324,200.5 L325.8,200.2 L327.5,199.8 L329.3,199.2 L331.1,198.2 L332.8,196.4 L334.6,191.6 L336.4,142.8 L338.1,219 L339.9,209.6 L341.7,207 L343.4,205.7 L345.2,205 L347,204.5 L348.7,204.2 L350.5,203.9 L352.3,203.7 L354,203.5 L355.8,203.4 L357.6,203.3 L359.3,203.2 L361.1,203.1 L362.9,203 L364.6,203 L366.4,202.9 L368.2,202.9 L369.9,202.8 L371.7,202.8 L373.5,202.7 L375.2,202.7 L377,202.7 L378.8,202.6 L380.5,202.6 L382.3,202.6 L384.1,202.5 L385.8,202.5 L387.6,202.5 L389.4,202.5 L391.1,202.4 L392.9,202.4 L394.7,202.4 L396.4,202.4 L398.2,202.3 L400,202.3 L401.7,202.3 L403.5,202.3 L405.3,202.3 L407,202.2 L408.8,202.2 L410.6,202.2 L412.3,202.2 L414.1,202.2 L415.9,202.1 L417.6,202.1 L419.4,202.1 L421.2,202.1 L422.9,202 L424.7,202 L426.5,202 L428.2,201.9 L430,201.9 L431.8,201.9 L433.5,201.8 L435.3,201.8 L437.1,201.8 L438.8,201.7 L440.6,201.7 L442.4,201.6 L444.1,201.6 L445.9,201.5 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(255,140,0)" stroke-width="1"><path d="M92.6,202.2 L94.37,202.2 L96.13,202.2 L97.9,202.1 L99.67,202.1 L101.4,202.1 L103.2,202.1 L105,202 L106.7,202 L108.5,202 L110.3,202 L112,201.9 L113.8,201.9 L115.6,201.9 L117.3,201.8 L119.1,201.8 L120.9,201.8 L122.6,201.7 L124.4,201.7 L126.2,201.7 L127.9,201.6 L129.7,201.6 L131.5,201.5 L133.2,201.5 L135,201.4 L136.8,201.3 L138.5,201.3 L140.3,201.2 L142.1,201.1 L143.8,201.1 L145.6,201 L147.4,200.9 L149.1,200.8 L150.9,200.6 L152.7,200.5 L154.4,200.3 L156.2,200.2 L158,199.9 L159.7,199.7 L161.5,199.4 L163.3,199 L165,198.5 L166.8,197.9 L168.6,197 L170.3,195.7 L172.1,193.7 L173.9,189.7 L175.6,179.2 L177.4,63.55 L179.2,236.9 L180.9,217.6 L182.7,212.1 L184.5,209.5 L186.2,208 L188,207 L189.8,206.3 L191.5,205.7 L193.3,205.3 L195.1,205 L196.8,204.7 L198.6,204.5 L200.4,204.3 L202.1,204.1 L203.9,204 L205.7,203.8 L207.4,203.7 L209.2,203.6 L211,203.5 L212.7,203.4 L214.5,203.4 L216.3,203.3 L218,203.2 L219.8,203.2 L221.6,203.1 L223.3,203.1 L225.1,203 L226.9,203 L228.6,202.9 L230.4,202.9 L232.2,202.8 L233.9,202.8 L235.7,202.8 L237.5,202.7 L239.2,202.7 L241,202.7 L242.7,202.6 L244.5,202.6 L246.3,202.6 L248,202.6 L249.8,202.5 L251.6,202.5 L253.3,202.5 L255.1,202.5 L256.9,202.4 L258.6,202.4 L260.4,202.4 L262.2,202.4 L263.9,202.3 L265.7,202.3 L267.5,202.3 L269.2,202.3 L271,202.3 L272.8,202.2 L274.5,202.2 L276.3,202.2 L278.1,202.2 L279.8,202.1 L281.6,202.1 L283.4,202.1 L285.1,202.1 L286.9,202 L288.7,202 L290.4,202 L292.2,202 L294,201.9 L295.7,201.9 L297.5,201.9 L299.3,201.9 L301,201.8 L302.8,201.8 L304.6,201.8 L306.3,201.7 L308.1,201.7 L309.9,201.6 L311.6,201.6 L313.4,201.5 L315.2,201.5 L316.9,201.4 L318.7,201.4 L320.5,201.3 L322.2,201.3 L324,201.2 L325.8,201.1 L327.5,201 L329.3,200.9 L331.1,200.8 L332.8,200.7 L334.6,200.6 L336.4,200.4 L338.1,200.3 L339.9,200.1 L341.7,199.8 L343.4,199.6 L345.2,199.2 L347,198.8 L348.7,198.3 L350.5,197.6 L352.3,196.6 L354,195 L355.8,192.4 L357.6,186.9 L359.3,167.7 L361.1,341 L362.9,225.4 L364.6,214.8 L366.4,210.9 L368.2,208.8 L369.9,207.5 L371.7,206.7 L373.5,206 L375.2,205.6 L377,205.2 L378.8,204.9 L380.5,204.6 L382.3,204.4 L384.1,204.2 L385.8,204.1 L387.6,203.9 L389.4,203.8 L391.1,203.7 L392.9,203.6 L394.7,203.5 L396.4,203.4 L398.2,203.3 L400,203.3 L401.7,203.2 L403.5,203.1 L405.3,203.1 L407,203 L408.8,203 L410.6,202.9 L412.3,202.9 L414.1,202.9 L415.9,202.8 L417.6,202.8 L419.4,202.7 L421.2,202.7 L422.9,202.7 L424.7,202.7 L426.5,202.6 L428.2,202.6 L430,202.6 L431.8,202.5 L433.5,202.5 L435.3,202.5 L437.1,202.5 L438.8,202.4 L440.6,202.4 L442.4,202.4 L444.1,202.4 L445.9,202.4 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(127,255,0)" stroke-width="1"><path d="M92.6,234.4 L94.37,232.8 L96.13,231.3 L97.9,229.9 L99.67,228.6 L101.4,227.3 L103.2,226.1 L105,224.9 L106.7,223.8 L108.5,222.7 L110.3,221.7 L112,220.8 L113.8,219.9 L115.6,219 L117.3,218.2 L119.1,217.4 L120.9,216.7 L122.6,216 L124.4,215.3 L126.2,214.7 L127.9,214.1 L129.7,213.5 L131.5,213 L133.2,212.4 L135,211.9 L136.8,211.5 L138.5,211 L140.3,210.6 L142.1,210.2 L143.8,209.8 L145.6,209.4 L147.4,209.1 L149.1,208.7 L150.9,208.4 L152.7,208.1 L154.4,207.8 L156.2,207.6 L158,207.3 L159.7,207.1 L161.5,206.8 L163.3,206.6 L165,206.4 L166.8,206.2 L168.6,206 L170.3,205.8 L172.1,205.6 L173.9,205.5 L175.6,205.3 L177.4,205.2 L179.2,205 L180.9,204.9 L182.7,204.8 L184.5,204.6 L186.2,204.5 L188,204.4 L189.8,204.3 L191.5,204.2 L193.3,204.1 L195.1,204 L196.8,203.9 L198.6,203.8 L200.4,203.8 L202.1,203.7 L203.9,203.6 L205.7,203.5 L207.4,203.5 L209.2,203.4 L211,203.4 L212.7,203.3 L214.5,203.2 L216.3,203.2 L218,203.1 L219.8,203.1 L221.6,203.1 L223.3,203 L225.1,203 L226.9,202.9 L228.6,202.9 L230.4,202.9 L232.2,202.8 L233.9,202.8 L235.7,202.8 L237.5,202.7 L239.2,202.7 L241,202.7 L242.7,202.6 L244.5,202.6 L246.3,202.6 L248,202.5 L249.8,202.5 L251.6,202.5 L253.3,202.5 L255.1,202.5 L256.9,202.4 L258.6,202.4 L260.4,202.4 L262.2,202.4 L263.9,202.3 L265.7,202.3 L267.5,202.3 L269.2,202.3 L271,202.3 L272.8,202.2 L274.5,202.2 L276.3,202.2 L278.1,202.2 L279.8,202.1 L281.6,202.1 L283.4,202.1 L285.1,202.1 L286.9,202 L288.7,202 L290.4,202 L292.2,202 L294,201.9 L295.7,201.9 L297.5,201.9 L299.3,201.9 L301,201.8 L302.8,201.8 L304.6,201.8 L306.3,201.7 L308.1,201.7 L309.9,201.7 L311.6,201.6 L313.4,201.6 L315.2,201.5 L316.9,201.5 L318.7,201.5 L320.5,201.4 L322.2,201.4 L324,201.3 L325.8,201.2 L327.5,201.2 L329.3,201.1 L331.1,201.1 L332.8,201 L334.6,200.9 L336.4,200.9 L338.1,200.8 L339.9,200.7 L341.7,200.6 L343.4,200.5 L345.2,200.4 L347,200.3 L348.7,200.2 L350.5,200.1 L352.3,200 L354,199.9 L355.8,199.8 L357.6,199.7 L359.3,199.5 L361.1,199.4 L362.9,199.2 L364.6,199.1 L366.4,198.9 L368.2,198.7 L369.9,198.5 L371.7,198.4 L373.5,198.2 L375.2,197.9 L377,197.7 L378.8,197.5 L380.5,197.2 L382.3,197 L384.1,196.7 L385.8,196.4 L387.6,196.1 L389.4,195.8 L391.1,195.5 L392.9,195.1 L394.7,194.7 L396.4,194.4 L398.2,194 L400,193.5 L401.7,193.1 L403.5,192.6 L405.3,192.1 L407,191.6 L408.8,191 L410.6,190.5 L412.3,189.9 L414.1,189.2 L415.9,188.6 L417.6,187.9 L419.4,187.1 L421.2,186.3 L422.9,185.5 L424.7,184.7 L426.5,183.8 L428.2,182.8 L430,181.8 L431.8,180.8 L433.5,179.7 L435.3,178.5 L437.1,177.3 L438.8,176 L440.6,174.6 L442.4,173.2 L444.1,171.7 L445.9,170.2 " fill="none"/></g>
</g>
<g id="plotPoints" clip-path="url(#plot_window)"></g>
<g id="legendBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="1"><rect x="467" y="58" width="107" height="154"/><rect x="467" y="58" width="107" height="154"/></g>
<g id="legendPoints"><g stroke="rgb(0,0,139)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="86" x2="495" y2="86"/></g>
<g stroke="rgb(139,0,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="114" x2="495" y2="114"/></g>
<g stroke="rgb(0,100,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="142" x2="495" y2="142"/></g>
<g stroke="rgb(255,140,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="170" x2="495" y2="170"/></g>
<g stroke="rgb(127,255,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="198" x2="495" y2="198"/></g>
</g>
<g id="legendText">
<text x="502" y="86" font-size="14" font-family="Verdana">k=0</text>
<text x="502" y="114" font-size="14" font-family="Verdana">k=0.5</text>
<text x="502" y="142" font-size="14" font-family="Verdana">k=0.75</text>
<text x="502" y="170" font-size="14" font-family="Verdana">k=0.95</text>
<text x="502" y="198" font-size="14" font-family="Verdana">k=1</text></g>
<g id="title">
<text x="300" y="40" text-anchor="middle" font-size="20" font-family="Verdana">Jacobi Elliptic sc</text></g>
<g id="plotXValues"></g>
<g id="plotYValues"></g>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 20 KiB

BIN
doc/sf_and_dist/graphs/jacobi_sd.png Normal file
View File

Binary file not shown.
Side by Side

After

Width:  |  Height:  |  Size: 31 KiB

75
doc/sf_and_dist/graphs/jacobi_sd.svg Normal file
View File

@@ -0,0 +1,75 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<svg width="600" height ="400" version="1.1"
xmlns:svg ="http://www.w3.org/2000/svg"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cc="http://web.resource.org/cc/"
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns ="http://www.w3.org/2000/svg"
>
<!-- SVG plot written using Boost.Plot program (Creator Jacob Voytko) -->
<!-- Use, modification and distribution of Boost.Plot subject to the -->
<!-- Boost Software License, Version 1.0.-->
<!-- (See accompanying file LICENSE_1_0.txt -->
<!-- or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<!-- SVG Plot Copyright John Maddock 2008 -->
<meta name="copyright" content="John Maddock" />
<meta name="date" content="2008" />
<!-- Use, modification and distribution of this Scalable Vector Graphic file -->
<!-- are subject to the Boost Software License, Version 1.0. -->
<!-- (See accompanying file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<clipPath id="plot_window"><rect x="76.8" y="59" width="375.2" height="281"/></clipPath>
<g id="imageBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="0" y="0" width="600" height="400"/></g>
<g id="plotBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="75.8" y="58" width="377.2" height="283"/></g>
<g id="yMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="yMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="xMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="xMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="yAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="260.7" y1="58" x2="260.7" y2="346"/><line x1="75.8" y1="58" x2="75.8" y2="341"/></g>
<g id="xAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="70.8" y1="202.3" x2="453" y2="202.3"/><line x1="70.8" y1="341" x2="453" y2="341"/></g>
<g id="yMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M73.8,173.6 L75.8,173.6 M73.8,145 L75.8,145 M73.8,116.3 L75.8,116.3 M73.8,58.97 L75.8,58.97 M73.8,202.3 L75.8,202.3 M73.8,230.9 L75.8,230.9 M73.8,259.6 L75.8,259.6 M73.8,288.3 L75.8,288.3 M73.8,316.9 L75.8,316.9 " fill="none"/></g>
<g id="xMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M279.2,341 L279.2,343 M297.7,341 L297.7,343 M316.1,341 L316.1,343 M353.1,341 L353.1,343 M371.6,341 L371.6,343 M390.1,341 L390.1,343 M427.1,341 L427.1,343 M445.6,341 L445.6,343 M242.2,341 L242.2,343 M223.7,341 L223.7,343 M205.2,341 L205.2,343 M168.2,341 L168.2,343 M149.8,341 L149.8,343 M131.3,341 L131.3,343 M94.29,341 L94.29,343 " fill="none"/></g>
<g id="yMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M70.8,202.3 L75.8,202.3 M70.8,87.63 L75.8,87.63 M70.8,202.3 L75.8,202.3 M70.8,316.9 L75.8,316.9 " fill="none"/></g>
<g id="xMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M260.7,341 L260.7,346 M334.6,341 L334.6,346 M408.6,341 L408.6,346 M260.7,341 L260.7,346 M186.7,341 L186.7,346 M112.8,341 L112.8,346 " fill="none"/></g>
<g id="xTicksValues">
<text x="260.7" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">0</text>
<text x="334.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">1</text>
<text x="408.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">2</text>
<text x="260.7" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">0</text>
<text x="186.7" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-1</text>
<text x="112.8" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-2</text></g>
<g id="yTicksValues">
<text x="64.8" y="204.7" text-anchor="end" font-size="12" font-family="Verdana">0</text>
<text x="64.8" y="90.03" text-anchor="end" font-size="12" font-family="Verdana">5</text>
<text x="64.8" y="204.7" text-anchor="end" font-size="12" font-family="Verdana">0</text>
<text x="64.8" y="319.3" text-anchor="end" font-size="12" font-family="Verdana">-5</text></g>
<g id="yLabel">
<text x="42.9" y="199.5" text-anchor="middle" transform = "rotate(-90 42.9 199.5 )" font-size="14" font-family="Verdana">jacobi_sd(k, u)</text></g>
<g id="xLabel">
<text x="264.4" y="376.7" text-anchor="middle" font-size="14" font-family="Verdana">k</text></g>
<g id="plotLines" stroke-width="2"><g clip-path="url(#plot_window)" stroke="rgb(0,0,139)" stroke-width="1"><path d="M75.8,216 L77.65,216.5 L79.5,216.9 L81.35,217.3 L83.2,217.8 L85.04,218.2 L86.89,218.6 L88.74,219 L90.59,219.4 L92.44,219.7 L94.29,220.1 L96.14,220.5 L97.99,220.8 L99.83,221.1 L101.7,221.5 L103.5,221.8 L105.4,222.1 L107.2,222.4 L109.1,222.6 L110.9,222.9 L112.8,223.1 L114.6,223.4 L116.5,223.6 L118.3,223.8 L120.2,224 L122,224.2 L123.9,224.3 L125.7,224.5 L127.6,224.6 L129.4,224.7 L131.3,224.8 L133.1,224.9 L135,225 L136.8,225.1 L138.7,225.1 L140.5,225.2 L142.4,225.2 L144.2,225.2 L146.1,225.2 L147.9,225.2 L149.8,225.1 L151.6,225.1 L153.5,225 L155.3,225 L157.1,224.9 L159,224.8 L160.8,224.6 L162.7,224.5 L164.5,224.4 L166.4,224.2 L168.2,224 L170.1,223.8 L171.9,223.6 L173.8,223.4 L175.6,223.2 L177.5,223 L179.3,222.7 L181.2,222.4 L183,222.2 L184.9,221.9 L186.7,221.6 L188.6,221.3 L190.4,220.9 L192.3,220.6 L194.1,220.2 L196,219.9 L197.8,219.5 L199.7,219.1 L201.5,218.7 L203.4,218.3 L205.2,217.9 L207.1,217.5 L208.9,217 L210.8,216.6 L212.6,216.2 L214.5,215.7 L216.3,215.2 L218.2,214.7 L220,214.3 L221.9,213.8 L223.7,213.3 L225.6,212.8 L227.4,212.2 L229.3,211.7 L231.1,211.2 L232.9,210.7 L234.8,210.1 L236.6,209.6 L238.5,209.1 L240.3,208.5 L242.2,207.9 L244,207.4 L245.9,206.8 L247.7,206.3 L249.6,205.7 L251.4,205.1 L253.3,204.6 L255.1,204 L257,203.4 L258.8,202.8 L260.7,202.3 L262.5,201.7 L264.4,201.1 L266.2,200.6 L268.1,200 L269.9,199.4 L271.8,198.8 L273.6,198.3 L275.5,197.7 L277.3,197.2 L279.2,196.6 L281,196 L282.9,195.5 L284.7,195 L286.6,194.4 L288.4,193.9 L290.3,193.3 L292.1,192.8 L294,192.3 L295.8,191.8 L297.7,191.3 L299.5,190.8 L301.4,190.3 L303.2,189.8 L305.1,189.3 L306.9,188.9 L308.8,188.4 L310.6,187.9 L312.4,187.5 L314.3,187.1 L316.1,186.6 L318,186.2 L319.8,185.8 L321.7,185.4 L323.5,185 L325.4,184.7 L327.2,184.3 L329.1,184 L330.9,183.6 L332.8,183.3 L334.6,183 L336.5,182.7 L338.3,182.4 L340.2,182.1 L342,181.8 L343.9,181.6 L345.7,181.3 L347.6,181.1 L349.4,180.9 L351.3,180.7 L353.1,180.5 L355,180.3 L356.8,180.2 L358.7,180 L360.5,179.9 L362.4,179.8 L364.2,179.7 L366.1,179.6 L367.9,179.5 L369.8,179.5 L371.6,179.4 L373.5,179.4 L375.3,179.4 L377.2,179.3 L379,179.4 L380.9,179.4 L382.7,179.4 L384.6,179.5 L386.4,179.5 L388.3,179.6 L390.1,179.7 L391.9,179.8 L393.8,179.9 L395.6,180.1 L397.5,180.2 L399.3,180.4 L401.2,180.6 L403,180.8 L404.9,181 L406.7,181.2 L408.6,181.4 L410.4,181.7 L412.3,181.9 L414.1,182.2 L416,182.5 L417.8,182.8 L419.7,183.1 L421.5,183.4 L423.4,183.7 L425.2,184.1 L427.1,184.4 L428.9,184.8 L430.8,185.2 L432.6,185.6 L434.5,186 L436.3,186.4 L438.2,186.8 L440,187.2 L441.9,187.7 L443.7,188.1 L445.6,188.6 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(139,0,0)" stroke-width="1"><path d="M75.8,220.8 L77.65,221.3 L79.5,221.7 L81.35,222.1 L83.2,222.5 L85.04,222.9 L86.89,223.3 L88.74,223.7 L90.59,224 L92.44,224.4 L94.29,224.7 L96.14,225.1 L97.99,225.4 L99.83,225.7 L101.7,226 L103.5,226.3 L105.4,226.5 L107.2,226.8 L109.1,227 L110.9,227.3 L112.8,227.5 L114.6,227.7 L116.5,227.8 L118.3,228 L120.2,228.1 L122,228.3 L123.9,228.4 L125.7,228.5 L127.6,228.6 L129.4,228.6 L131.3,228.7 L133.1,228.7 L135,228.7 L136.8,228.7 L138.7,228.7 L140.5,228.7 L142.4,228.7 L144.2,228.6 L146.1,228.5 L147.9,228.4 L149.8,228.3 L151.6,228.2 L153.5,228 L155.3,227.9 L157.1,227.7 L159,227.5 L160.8,227.3 L162.7,227.1 L164.5,226.8 L166.4,226.6 L168.2,226.3 L170.1,226 L171.9,225.7 L173.8,225.4 L175.6,225.1 L177.5,224.8 L179.3,224.5 L181.2,224.1 L183,223.7 L184.9,223.4 L186.7,223 L188.6,222.6 L190.4,222.2 L192.3,221.7 L194.1,221.3 L196,220.9 L197.8,220.4 L199.7,220 L201.5,219.5 L203.4,219.1 L205.2,218.6 L207.1,218.1 L208.9,217.6 L210.8,217.1 L212.6,216.6 L214.5,216.1 L216.3,215.6 L218.2,215.1 L220,214.5 L221.9,214 L223.7,213.5 L225.6,213 L227.4,212.4 L229.3,211.9 L231.1,211.3 L232.9,210.8 L234.8,210.2 L236.6,209.7 L238.5,209.1 L240.3,208.5 L242.2,208 L244,207.4 L245.9,206.8 L247.7,206.3 L249.6,205.7 L251.4,205.1 L253.3,204.6 L255.1,204 L257,203.4 L258.8,202.8 L260.7,202.3 L262.5,201.7 L264.4,201.1 L266.2,200.6 L268.1,200 L269.9,199.4 L271.8,198.8 L273.6,198.3 L275.5,197.7 L277.3,197.1 L279.2,196.6 L281,196 L282.9,195.4 L284.7,194.9 L286.6,194.3 L288.4,193.8 L290.3,193.2 L292.1,192.7 L294,192.1 L295.8,191.6 L297.7,191.1 L299.5,190.5 L301.4,190 L303.2,189.5 L305.1,189 L306.9,188.4 L308.8,187.9 L310.6,187.4 L312.4,186.9 L314.3,186.4 L316.1,186 L318,185.5 L319.8,185 L321.7,184.6 L323.5,184.1 L325.4,183.7 L327.2,183.2 L329.1,182.8 L330.9,182.4 L332.8,182 L334.6,181.6 L336.5,181.2 L338.3,180.8 L340.2,180.5 L342,180.1 L343.9,179.8 L345.7,179.4 L347.6,179.1 L349.4,178.8 L351.3,178.5 L353.1,178.2 L355,178 L356.8,177.7 L358.7,177.5 L360.5,177.3 L362.4,177.1 L364.2,176.9 L366.1,176.7 L367.9,176.5 L369.8,176.4 L371.6,176.3 L373.5,176.1 L375.3,176 L377.2,176 L379,175.9 L380.9,175.8 L382.7,175.8 L384.6,175.8 L386.4,175.8 L388.3,175.8 L390.1,175.9 L391.9,175.9 L393.8,176 L395.6,176.1 L397.5,176.2 L399.3,176.3 L401.2,176.4 L403,176.5 L404.9,176.7 L406.7,176.9 L408.6,177.1 L410.4,177.3 L412.3,177.5 L414.1,177.8 L416,178 L417.8,178.3 L419.7,178.6 L421.5,178.8 L423.4,179.2 L425.2,179.5 L427.1,179.8 L428.9,180.1 L430.8,180.5 L432.6,180.9 L434.5,181.2 L436.3,181.6 L438.2,182 L440,182.4 L441.9,182.9 L443.7,183.3 L445.6,183.7 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(0,100,0)" stroke-width="1"><path d="M75.8,231.4 L77.65,231.9 L79.5,232.3 L81.35,232.7 L83.2,233 L85.04,233.4 L86.89,233.8 L88.74,234.1 L90.59,234.4 L92.44,234.7 L94.29,235 L96.14,235.3 L97.99,235.5 L99.83,235.8 L101.7,236 L103.5,236.2 L105.4,236.3 L107.2,236.5 L109.1,236.6 L110.9,236.7 L112.8,236.8 L114.6,236.9 L116.5,236.9 L118.3,236.9 L120.2,236.9 L122,236.9 L123.9,236.9 L125.7,236.8 L127.6,236.7 L129.4,236.6 L131.3,236.5 L133.1,236.3 L135,236.2 L136.8,236 L138.7,235.8 L140.5,235.6 L142.4,235.3 L144.2,235 L146.1,234.8 L147.9,234.5 L149.8,234.1 L151.6,233.8 L153.5,233.5 L155.3,233.1 L157.1,232.7 L159,232.3 L160.8,231.9 L162.7,231.5 L164.5,231.1 L166.4,230.6 L168.2,230.2 L170.1,229.7 L171.9,229.2 L173.8,228.7 L175.6,228.2 L177.5,227.7 L179.3,227.2 L181.2,226.7 L183,226.2 L184.9,225.6 L186.7,225.1 L188.6,224.6 L190.4,224 L192.3,223.5 L194.1,222.9 L196,222.4 L197.8,221.8 L199.7,221.2 L201.5,220.7 L203.4,220.1 L205.2,219.5 L207.1,219 L208.9,218.4 L210.8,217.8 L212.6,217.2 L214.5,216.7 L216.3,216.1 L218.2,215.5 L220,214.9 L221.9,214.4 L223.7,213.8 L225.6,213.2 L227.4,212.6 L229.3,212 L231.1,211.5 L232.9,210.9 L234.8,210.3 L236.6,209.7 L238.5,209.2 L240.3,208.6 L242.2,208 L244,207.4 L245.9,206.9 L247.7,206.3 L249.6,205.7 L251.4,205.1 L253.3,204.6 L255.1,204 L257,203.4 L258.8,202.8 L260.7,202.3 L262.5,201.7 L264.4,201.1 L266.2,200.6 L268.1,200 L269.9,199.4 L271.8,198.8 L273.6,198.3 L275.5,197.7 L277.3,197.1 L279.2,196.5 L281,196 L282.9,195.4 L284.7,194.8 L286.6,194.2 L288.4,193.7 L290.3,193.1 L292.1,192.5 L294,191.9 L295.8,191.3 L297.7,190.8 L299.5,190.2 L301.4,189.6 L303.2,189 L305.1,188.5 L306.9,187.9 L308.8,187.3 L310.6,186.7 L312.4,186.2 L314.3,185.6 L316.1,185 L318,184.4 L319.8,183.9 L321.7,183.3 L323.5,182.7 L325.4,182.2 L327.2,181.6 L329.1,181.1 L330.9,180.5 L332.8,180 L334.6,179.4 L336.5,178.9 L338.3,178.4 L340.2,177.8 L342,177.3 L343.9,176.8 L345.7,176.3 L347.6,175.8 L349.4,175.3 L351.3,174.9 L353.1,174.4 L355,173.9 L356.8,173.5 L358.7,173.1 L360.5,172.6 L362.4,172.2 L364.2,171.8 L366.1,171.5 L367.9,171.1 L369.8,170.7 L371.6,170.4 L373.5,170.1 L375.3,169.8 L377.2,169.5 L379,169.2 L380.9,169 L382.7,168.8 L384.6,168.6 L386.4,168.4 L388.3,168.2 L390.1,168.1 L391.9,167.9 L393.8,167.8 L395.6,167.7 L397.5,167.7 L399.3,167.6 L401.2,167.6 L403,167.6 L404.9,167.6 L406.7,167.7 L408.6,167.7 L410.4,167.8 L412.3,167.9 L414.1,168.1 L416,168.2 L417.8,168.4 L419.7,168.6 L421.5,168.8 L423.4,169 L425.2,169.3 L427.1,169.5 L428.9,169.8 L430.8,170.1 L432.6,170.4 L434.5,170.8 L436.3,171.1 L438.2,171.5 L440,171.9 L441.9,172.3 L443.7,172.7 L445.6,173.1 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(255,140,0)" stroke-width="1"><path d="M75.8,275.4 L77.65,275.2 L79.5,275 L81.35,274.7 L83.2,274.4 L85.04,274 L86.89,273.6 L88.74,273.2 L90.59,272.7 L92.44,272.2 L94.29,271.6 L96.14,271.1 L97.99,270.4 L99.83,269.8 L101.7,269.1 L103.5,268.4 L105.4,267.6 L107.2,266.9 L109.1,266.1 L110.9,265.3 L112.8,264.4 L114.6,263.6 L116.5,262.7 L118.3,261.8 L120.2,260.9 L122,260 L123.9,259.1 L125.7,258.2 L127.6,257.2 L129.4,256.3 L131.3,255.3 L133.1,254.3 L135,253.4 L136.8,252.4 L138.7,251.5 L140.5,250.5 L142.4,249.5 L144.2,248.6 L146.1,247.6 L147.9,246.6 L149.8,245.7 L151.6,244.7 L153.5,243.8 L155.3,242.9 L157.1,241.9 L159,241 L160.8,240.1 L162.7,239.2 L164.5,238.3 L166.4,237.4 L168.2,236.5 L170.1,235.6 L171.9,234.8 L173.8,233.9 L175.6,233 L177.5,232.2 L179.3,231.4 L181.2,230.6 L183,229.8 L184.9,229 L186.7,228.2 L188.6,227.4 L190.4,226.6 L192.3,225.8 L194.1,225.1 L196,224.3 L197.8,223.6 L199.7,222.9 L201.5,222.2 L203.4,221.4 L205.2,220.7 L207.1,220.1 L208.9,219.4 L210.8,218.7 L212.6,218 L214.5,217.3 L216.3,216.7 L218.2,216 L220,215.4 L221.9,214.8 L223.7,214.1 L225.6,213.5 L227.4,212.9 L229.3,212.3 L231.1,211.6 L232.9,211 L234.8,210.4 L236.6,209.8 L238.5,209.2 L240.3,208.6 L242.2,208.1 L244,207.5 L245.9,206.9 L247.7,206.3 L249.6,205.7 L251.4,205.1 L253.3,204.6 L255.1,204 L257,203.4 L258.8,202.8 L260.7,202.3 L262.5,201.7 L264.4,201.1 L266.2,200.6 L268.1,200 L269.9,199.4 L271.8,198.8 L273.6,198.2 L275.5,197.7 L277.3,197.1 L279.2,196.5 L281,195.9 L282.9,195.3 L284.7,194.7 L286.6,194.1 L288.4,193.5 L290.3,192.9 L292.1,192.3 L294,191.7 L295.8,191.1 L297.7,190.4 L299.5,189.8 L301.4,189.2 L303.2,188.5 L305.1,187.9 L306.9,187.2 L308.8,186.5 L310.6,185.9 L312.4,185.2 L314.3,184.5 L316.1,183.8 L318,183.1 L319.8,182.4 L321.7,181.7 L323.5,180.9 L325.4,180.2 L327.2,179.5 L329.1,178.7 L330.9,177.9 L332.8,177.2 L334.6,176.4 L336.5,175.6 L338.3,174.8 L340.2,174 L342,173.2 L343.9,172.3 L345.7,171.5 L347.6,170.7 L349.4,169.8 L351.3,168.9 L353.1,168.1 L355,167.2 L356.8,166.3 L358.7,165.4 L360.5,164.5 L362.4,163.5 L364.2,162.6 L366.1,161.7 L367.9,160.8 L369.8,159.8 L371.6,158.9 L373.5,157.9 L375.3,157 L377.2,156 L379,155 L380.9,154.1 L382.7,153.1 L384.6,152.1 L386.4,151.2 L388.3,150.2 L390.1,149.2 L391.9,148.3 L393.8,147.3 L395.6,146.4 L397.5,145.5 L399.3,144.5 L401.2,143.6 L403,142.7 L404.9,141.8 L406.7,141 L408.6,140.1 L410.4,139.3 L412.3,138.5 L414.1,137.7 L416,136.9 L417.8,136.2 L419.7,135.5 L421.5,134.8 L423.4,134.1 L425.2,133.5 L427.1,132.9 L428.9,132.4 L430.8,131.8 L432.6,131.4 L434.5,130.9 L436.3,130.5 L438.2,130.2 L440,129.8 L441.9,129.6 L443.7,129.3 L445.6,129.1 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(127,255,0)" stroke-width="1"><path d="M75.8,341 L77.65,337.5 L79.5,334.1 L81.35,330.8 L83.2,327.6 L85.04,324.5 L86.89,321.4 L88.74,318.4 L90.59,315.5 L92.44,312.6 L94.29,309.8 L96.14,307.1 L97.99,304.5 L99.83,301.9 L101.7,299.4 L103.5,296.9 L105.4,294.5 L107.2,292.1 L109.1,289.9 L110.9,287.6 L112.8,285.4 L114.6,283.3 L116.5,281.2 L118.3,279.2 L120.2,277.2 L122,275.3 L123.9,273.4 L125.7,271.5 L127.6,269.7 L129.4,268 L131.3,266.3 L133.1,264.6 L135,262.9 L136.8,261.3 L138.7,259.8 L140.5,258.2 L142.4,256.7 L144.2,255.3 L146.1,253.9 L147.9,252.5 L149.8,251.1 L151.6,249.8 L153.5,248.5 L155.3,247.2 L157.1,245.9 L159,244.7 L160.8,243.5 L162.7,242.4 L164.5,241.2 L166.4,240.1 L168.2,239 L170.1,237.9 L171.9,236.9 L173.8,235.9 L175.6,234.9 L177.5,233.9 L179.3,232.9 L181.2,232 L183,231 L184.9,230.1 L186.7,229.2 L188.6,228.3 L190.4,227.5 L192.3,226.6 L194.1,225.8 L196,225 L197.8,224.2 L199.7,223.4 L201.5,222.6 L203.4,221.9 L205.2,221.1 L207.1,220.4 L208.9,219.7 L210.8,219 L212.6,218.3 L214.5,217.6 L216.3,216.9 L218.2,216.2 L220,215.5 L221.9,214.9 L223.7,214.2 L225.6,213.6 L227.4,212.9 L229.3,212.3 L231.1,211.7 L232.9,211.1 L234.8,210.5 L236.6,209.9 L238.5,209.3 L240.3,208.7 L242.2,208.1 L244,207.5 L245.9,206.9 L247.7,206.3 L249.6,205.7 L251.4,205.1 L253.3,204.6 L255.1,204 L257,203.4 L258.8,202.8 L260.7,202.3 L262.5,201.7 L264.4,201.1 L266.2,200.6 L268.1,200 L269.9,199.4 L271.8,198.8 L273.6,198.2 L275.5,197.7 L277.3,197.1 L279.2,196.5 L281,195.9 L282.9,195.3 L284.7,194.7 L286.6,194.1 L288.4,193.5 L290.3,192.9 L292.1,192.2 L294,191.6 L295.8,191 L297.7,190.3 L299.5,189.7 L301.4,189 L303.2,188.4 L305.1,187.7 L306.9,187 L308.8,186.3 L310.6,185.6 L312.4,184.9 L314.3,184.2 L316.1,183.4 L318,182.7 L319.8,181.9 L321.7,181.1 L323.5,180.4 L325.4,179.6 L327.2,178.7 L329.1,177.9 L330.9,177.1 L332.8,176.2 L334.6,175.3 L336.5,174.4 L338.3,173.5 L340.2,172.6 L342,171.6 L343.9,170.7 L345.7,169.7 L347.6,168.7 L349.4,167.7 L351.3,166.6 L353.1,165.5 L355,164.4 L356.8,163.3 L358.7,162.2 L360.5,161 L362.4,159.8 L364.2,158.6 L366.1,157.4 L367.9,156.1 L369.8,154.8 L371.6,153.5 L373.5,152.1 L375.3,150.7 L377.2,149.3 L379,147.8 L380.9,146.3 L382.7,144.8 L384.6,143.2 L386.4,141.6 L388.3,140 L390.1,138.3 L391.9,136.6 L393.8,134.8 L395.6,133 L397.5,131.2 L399.3,129.3 L401.2,127.3 L403,125.4 L404.9,123.3 L406.7,121.2 L408.6,119.1 L410.4,116.9 L412.3,114.7 L414.1,112.4 L416,110.1 L417.8,107.7 L419.7,105.2 L421.5,102.7 L423.4,100.1 L425.2,97.43 L427.1,94.71 L428.9,91.93 L430.8,89.07 L432.6,86.15 L434.5,83.16 L436.3,80.09 L438.2,76.94 L440,73.71 L441.9,70.41 L443.7,67.02 L445.6,63.55 " fill="none"/></g>
</g>
<g id="plotPoints" clip-path="url(#plot_window)"></g>
<g id="legendBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="1"><rect x="467" y="58" width="107" height="154"/><rect x="467" y="58" width="107" height="154"/></g>
<g id="legendPoints"><g stroke="rgb(0,0,139)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="86" x2="495" y2="86"/></g>
<g stroke="rgb(139,0,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="114" x2="495" y2="114"/></g>
<g stroke="rgb(0,100,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="142" x2="495" y2="142"/></g>
<g stroke="rgb(255,140,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="170" x2="495" y2="170"/></g>
<g stroke="rgb(127,255,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="198" x2="495" y2="198"/></g>
</g>
<g id="legendText">
<text x="502" y="86" font-size="14" font-family="Verdana">k=0</text>
<text x="502" y="114" font-size="14" font-family="Verdana">k=0.5</text>
<text x="502" y="142" font-size="14" font-family="Verdana">k=0.75</text>
<text x="502" y="170" font-size="14" font-family="Verdana">k=0.95</text>
<text x="502" y="198" font-size="14" font-family="Verdana">k=1</text></g>
<g id="title">
<text x="300" y="40" text-anchor="middle" font-size="20" font-family="Verdana">Jacobi Elliptic sd</text></g>
<g id="plotXValues"></g>
<g id="plotYValues"></g>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 19 KiB

BIN
doc/sf_and_dist/graphs/jacobi_sn.png Normal file
View File

Binary file not shown.
Side by Side

After

Width:  |  Height:  |  Size: 63 KiB

76
doc/sf_and_dist/graphs/jacobi_sn.svg Normal file
View File

@@ -0,0 +1,76 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<svg width="600" height ="400" version="1.1"
xmlns:svg ="http://www.w3.org/2000/svg"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cc="http://web.resource.org/cc/"
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns ="http://www.w3.org/2000/svg"
>
<!-- SVG plot written using Boost.Plot program (Creator Jacob Voytko) -->
<!-- Use, modification and distribution of Boost.Plot subject to the -->
<!-- Boost Software License, Version 1.0.-->
<!-- (See accompanying file LICENSE_1_0.txt -->
<!-- or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<!-- SVG Plot Copyright John Maddock 2008 -->
<meta name="copyright" content="John Maddock" />
<meta name="date" content="2008" />
<!-- Use, modification and distribution of this Scalable Vector Graphic file -->
<!-- are subject to the Boost Software License, Version 1.0. -->
<!-- (See accompanying file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<clipPath id="plot_window"><rect x="93.6" y="59" width="358.4" height="281"/></clipPath>
<g id="imageBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="0" y="0" width="600" height="400"/></g>
<g id="plotBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="92.6" y="58" width="360.4" height="283"/></g>
<g id="yMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="yMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="xMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="xMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="yAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="269.2" y1="58" x2="269.2" y2="346"/><line x1="92.6" y1="58" x2="92.6" y2="341"/></g>
<g id="xAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="87.6" y1="202.3" x2="453" y2="202.3"/><line x1="87.6" y1="341" x2="453" y2="341"/></g>
<g id="yMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M90.6,184.9 L92.6,184.9 M90.6,167.6 L92.6,167.6 M90.6,150.3 L92.6,150.3 M90.6,115.6 L92.6,115.6 M90.6,98.23 L92.6,98.23 M90.6,80.89 L92.6,80.89 M90.6,202.3 L92.6,202.3 M90.6,219.6 L92.6,219.6 M90.6,237 L92.6,237 M90.6,254.3 L92.6,254.3 M90.6,271.6 L92.6,271.6 M90.6,289 L92.6,289 M90.6,306.3 L92.6,306.3 M90.6,323.7 L92.6,323.7 " fill="none"/></g>
<g id="xMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M291.3,341 L291.3,343 M313.4,341 L313.4,343 M335.5,341 L335.5,343 M379.7,341 L379.7,343 M401.7,341 L401.7,343 M423.8,341 L423.8,343 M247.2,341 L247.2,343 M225.1,341 L225.1,343 M203,341 L203,343 M158.8,341 L158.8,343 M136.8,341 L136.8,343 M114.7,341 L114.7,343 " fill="none"/></g>
<g id="yMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M87.6,202.3 L92.6,202.3 M87.6,132.9 L92.6,132.9 M87.6,63.55 L92.6,63.55 M87.6,202.3 L92.6,202.3 M87.6,271.6 L92.6,271.6 " fill="none"/></g>
<g id="xMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M269.2,341 L269.2,346 M357.6,341 L357.6,346 M445.9,341 L445.9,346 M269.2,341 L269.2,346 M180.9,341 L180.9,346 M92.6,341 L92.6,346 " fill="none"/></g>
<g id="xTicksValues">
<text x="269.2" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">0</text>
<text x="357.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">5</text>
<text x="445.9" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">10</text>
<text x="269.2" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">0</text>
<text x="180.9" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-5</text>
<text x="92.6" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-10</text></g>
<g id="yTicksValues">
<text x="81.6" y="204.7" text-anchor="end" font-size="12" font-family="Verdana">0</text>
<text x="81.6" y="135.3" text-anchor="end" font-size="12" font-family="Verdana">0.5</text>
<text x="81.6" y="65.95" text-anchor="end" font-size="12" font-family="Verdana">1</text>
<text x="81.6" y="204.7" text-anchor="end" font-size="12" font-family="Verdana">0</text>
<text x="81.6" y="274" text-anchor="end" font-size="12" font-family="Verdana">-0.5</text></g>
<g id="yLabel">
<text x="42.9" y="199.5" text-anchor="middle" transform = "rotate(-90 42.9 199.5 )" font-size="14" font-family="Verdana">jacobi_sn(k, u)</text></g>
<g id="xLabel">
<text x="272.8" y="376.7" text-anchor="middle" font-size="14" font-family="Verdana">k</text></g>
<g id="plotLines" stroke-width="2"><g clip-path="url(#plot_window)" stroke="rgb(0,0,139)" stroke-width="1"><path d="M92.6,126.8 L94.37,138.8 L96.13,151.4 L97.9,164.6 L99.67,178.1 L101.4,191.8 L103.2,205.7 L105,219.5 L106.7,233.2 L108.5,246.5 L110.3,259.4 L112,271.8 L113.8,283.4 L115.6,294.2 L117.3,304.2 L119.1,313 L120.9,320.8 L122.6,327.4 L124.4,332.8 L126.2,336.8 L127.9,339.5 L129.7,340.9 L131.5,340.8 L133.2,339.4 L135,336.5 L136.8,332.4 L138.5,326.9 L140.3,320.3 L142.1,312.4 L143.8,303.4 L145.6,293.4 L147.4,282.5 L149.1,270.8 L150.9,258.4 L152.7,245.5 L154.4,232.1 L156.2,218.4 L158,204.6 L159.7,190.7 L161.5,177 L163.3,163.5 L165,150.4 L166.8,137.8 L168.6,125.9 L170.3,114.7 L172.1,104.4 L173.9,95.07 L175.6,86.82 L177.4,79.72 L179.2,73.84 L180.9,69.25 L182.7,65.98 L184.5,64.08 L186.2,63.56 L188,64.42 L189.8,66.67 L191.5,70.26 L193.3,75.18 L195.1,81.36 L196.8,88.76 L198.6,97.29 L200.4,106.9 L202.1,117.4 L203.9,128.8 L205.7,140.9 L207.4,153.6 L209.2,166.8 L211,180.4 L212.7,194.2 L214.5,208 L216.3,221.9 L218,235.5 L219.8,248.7 L221.6,261.6 L223.3,273.8 L225.1,285.3 L226.9,296 L228.6,305.7 L230.4,314.4 L232.2,322 L233.9,328.4 L235.7,333.6 L237.5,337.4 L239.2,339.8 L241,340.9 L242.7,340.7 L244.5,339 L246.3,335.9 L248,331.6 L249.8,325.9 L251.6,319 L253.3,310.9 L255.1,301.8 L256.9,291.6 L258.6,280.6 L260.4,268.8 L262.2,256.3 L263.9,243.3 L265.7,229.8 L267.5,216.1 L269.2,202.3 L271,188.4 L272.8,174.7 L274.5,161.3 L276.3,148.3 L278.1,135.8 L279.8,123.9 L281.6,112.9 L283.4,102.8 L285.1,93.61 L286.9,85.54 L288.7,78.64 L290.4,72.98 L292.2,68.6 L294,65.57 L295.7,63.9 L297.5,63.61 L299.3,64.71 L301,67.18 L302.8,71 L304.6,76.13 L306.3,82.53 L308.1,90.12 L309.9,98.83 L311.6,108.6 L313.4,119.3 L315.2,130.8 L316.9,143 L318.7,155.8 L320.5,169.1 L322.2,182.7 L324,196.5 L325.8,210.4 L327.5,224.2 L329.3,237.7 L331.1,250.9 L332.8,263.7 L334.6,275.8 L336.4,287.2 L338.1,297.7 L339.9,307.3 L341.7,315.8 L343.4,323.2 L345.2,329.4 L347,334.3 L348.7,337.9 L350.5,340.1 L352.3,341 L354,340.5 L355.8,338.6 L357.6,335.3 L359.3,330.7 L361.1,324.8 L362.9,317.7 L364.6,309.5 L366.4,300.2 L368.2,289.8 L369.9,278.7 L371.7,266.7 L373.5,254.1 L375.2,241 L377,227.5 L378.8,213.8 L380.5,199.9 L382.3,186.1 L384.1,172.4 L385.8,159.1 L387.6,146.1 L389.4,133.7 L391.1,122 L392.9,111.1 L394.7,101.1 L396.4,92.17 L398.2,84.3 L400,77.6 L401.7,72.15 L403.5,68 L405.3,65.19 L407,63.75 L408.8,63.7 L410.6,65.03 L412.3,67.73 L414.1,71.77 L415.9,77.12 L417.6,83.72 L419.4,91.5 L421.2,100.4 L422.9,110.3 L424.7,121.1 L426.5,132.8 L428.2,145.1 L430,158 L431.8,171.4 L433.5,185 L435.3,198.8 L437.1,212.7 L438.8,226.5 L440.6,240 L442.4,253.1 L444.1,265.7 L445.9,277.7 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(139,0,0)" stroke-width="1"><path d="M92.6,218.1 L94.37,231.7 L96.13,245 L97.9,257.8 L99.67,269.9 L101.4,281.2 L103.2,291.7 L105,301.3 L106.7,309.9 L108.5,317.4 L110.3,323.9 L112,329.4 L113.8,333.8 L115.6,337.2 L117.3,339.5 L119.1,340.7 L120.9,341 L122.6,340.1 L124.4,338.3 L126.2,335.4 L127.9,331.4 L129.7,326.4 L131.5,320.3 L133.2,313.2 L135,305.1 L136.8,295.9 L138.5,285.8 L140.3,274.8 L142.1,263 L143.8,250.5 L145.6,237.4 L147.4,223.9 L149.1,210.2 L150.9,196.3 L152.7,182.5 L154.4,169 L156.2,155.8 L158,143.2 L159.7,131.3 L161.5,120.2 L163.3,110 L165,100.7 L166.8,92.42 L168.6,85.16 L170.3,78.94 L172.1,73.78 L173.9,69.67 L175.6,66.62 L177.4,64.61 L179.2,63.64 L180.9,63.72 L182.7,64.84 L184.5,67 L186.2,70.2 L188,74.46 L189.8,79.78 L191.5,86.15 L193.3,93.56 L195.1,102 L196.8,111.4 L198.6,121.8 L200.4,133 L202.1,145 L203.9,157.7 L205.7,170.9 L207.4,184.5 L209.2,198.3 L211,212.2 L212.7,225.9 L214.5,239.4 L216.3,252.4 L218,264.8 L219.8,276.5 L221.6,287.3 L223.3,297.3 L225.1,306.3 L226.9,314.3 L228.6,321.3 L230.4,327.2 L232.2,332 L233.9,335.9 L235.7,338.6 L237.5,340.3 L239.2,341 L241,340.6 L242.7,339.2 L244.5,336.7 L246.3,333.2 L248,328.7 L249.8,323.1 L251.6,316.4 L253.3,308.7 L255.1,300 L256.9,290.3 L258.6,279.6 L260.4,268.2 L262.2,256 L263.9,243.1 L265.7,229.8 L267.5,216.1 L269.2,202.3 L271,188.4 L272.8,174.8 L274.5,161.4 L276.3,148.6 L278.1,136.4 L279.8,124.9 L281.6,114.3 L283.4,104.6 L285.1,95.86 L286.9,88.15 L288.7,81.49 L290.4,75.87 L292.2,71.31 L294,67.8 L295.7,65.35 L297.5,63.93 L299.3,63.56 L301,64.23 L302.8,65.94 L304.6,68.7 L306.3,72.5 L308.1,77.36 L309.9,83.28 L311.6,90.25 L313.4,98.24 L315.2,107.2 L316.9,117.2 L318.7,128.1 L320.5,139.8 L322.2,152.2 L324,165.2 L325.8,178.6 L327.5,192.4 L329.3,206.2 L331.1,220 L332.8,233.6 L334.6,246.8 L336.4,259.5 L338.1,271.5 L339.9,282.8 L341.7,293.1 L343.4,302.6 L345.2,311 L347,318.4 L348.7,324.8 L350.5,330.1 L352.3,334.3 L354,337.6 L355.8,339.7 L357.6,340.8 L359.3,340.9 L361.1,339.9 L362.9,337.9 L364.6,334.9 L366.4,330.8 L368.2,325.6 L369.9,319.4 L371.7,312.1 L373.5,303.8 L375.2,294.6 L377,284.3 L378.8,273.2 L380.5,261.3 L382.3,248.7 L384.1,235.6 L385.8,222 L387.6,208.2 L389.4,194.4 L391.1,180.6 L392.9,167.1 L394.7,154 L396.4,141.5 L398.2,129.7 L400,118.7 L401.7,108.6 L403.5,99.49 L405.3,91.34 L407,84.23 L408.8,78.16 L410.6,73.14 L412.3,69.18 L414.1,66.27 L415.9,64.41 L417.6,63.59 L419.4,63.81 L421.2,65.08 L422.9,67.38 L424.7,70.74 L426.5,75.14 L428.2,80.61 L430,87.12 L431.8,94.68 L433.5,103.3 L435.3,112.8 L437.1,123.3 L438.8,134.7 L440.6,146.8 L442.4,159.5 L444.1,172.8 L445.9,186.4 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(0,100,0)" stroke-width="1"><path d="M92.6,334.8 L94.37,337.3 L96.13,339.2 L97.9,340.4 L99.67,340.9 L101.4,340.9 L103.2,340.3 L105,339 L106.7,337.1 L108.5,334.5 L110.3,331.2 L112,327.2 L113.8,322.3 L115.6,316.6 L117.3,309.9 L119.1,302.3 L120.9,293.8 L122.6,284.2 L124.4,273.7 L126.2,262.3 L127.9,250.1 L129.7,237.2 L131.5,223.8 L133.2,210 L135,196.2 L136.8,182.4 L138.5,168.9 L140.3,156 L142.1,143.7 L143.8,132.2 L145.6,121.5 L147.4,111.9 L149.1,103.2 L150.9,95.48 L152.7,88.72 L154.4,82.88 L156.2,77.91 L158,73.76 L159.7,70.38 L161.5,67.72 L163.3,65.74 L165,64.4 L166.8,63.69 L168.6,63.58 L170.3,64.09 L172.1,65.21 L173.9,66.97 L175.6,69.4 L177.4,72.53 L179.2,76.41 L180.9,81.09 L182.7,86.63 L184.5,93.07 L186.2,100.5 L188,108.8 L189.8,118.1 L191.5,128.4 L193.3,139.7 L195.1,151.7 L196.8,164.5 L198.6,177.8 L200.4,191.5 L202.1,205.3 L203.9,219.1 L205.7,232.7 L207.4,245.8 L209.2,258.2 L211,269.9 L212.7,280.7 L214.5,290.6 L216.3,299.5 L218,307.5 L219.8,314.4 L221.6,320.5 L223.3,325.6 L225.1,329.9 L226.9,333.5 L228.6,336.3 L230.4,338.4 L232.2,339.9 L233.9,340.8 L235.7,341 L237.5,340.6 L239.2,339.6 L241,338 L242.7,335.7 L244.5,332.8 L246.3,329.1 L248,324.6 L249.8,319.2 L251.6,313 L253.3,305.8 L255.1,297.7 L256.9,288.5 L258.6,278.4 L260.4,267.4 L262.2,255.6 L263.9,242.9 L265.7,229.7 L267.5,216.1 L269.2,202.3 L271,188.4 L272.8,174.8 L274.5,161.6 L276.3,149 L278.1,137.1 L279.8,126.1 L281.6,116 L283.4,106.9 L285.1,98.75 L286.9,91.57 L288.7,85.34 L290.4,79.99 L292.2,75.49 L294,71.78 L295.7,68.8 L297.5,66.53 L299.3,64.91 L301,63.92 L302.8,63.55 L304.6,63.79 L306.3,64.64 L308.1,66.12 L309.9,68.24 L311.6,71.06 L313.4,74.61 L315.2,78.93 L316.9,84.09 L318.7,90.13 L320.5,97.09 L322.2,105 L324,113.9 L325.8,123.8 L327.5,134.6 L329.3,146.3 L331.1,158.8 L332.8,171.9 L334.6,185.4 L336.4,199.2 L338.1,213.1 L339.9,226.8 L341.7,240.1 L343.4,252.8 L345.2,264.9 L347,276.1 L348.7,286.4 L350.5,295.7 L352.3,304.1 L354,311.5 L355.8,317.9 L357.6,323.5 L359.3,328.1 L361.1,332 L362.9,335.2 L364.6,337.6 L366.4,339.3 L368.2,340.5 L369.9,341 L371.7,340.9 L373.5,340.1 L375.2,338.8 L377,336.8 L378.8,334.2 L380.5,330.8 L382.3,326.6 L384.1,321.7 L385.8,315.8 L387.6,309.1 L389.4,301.4 L391.1,292.7 L392.9,283 L394.7,272.4 L396.4,260.9 L398.2,248.6 L400,235.6 L401.7,222.1 L403.5,208.4 L405.3,194.5 L407,180.8 L408.8,167.4 L410.6,154.5 L412.3,142.2 L414.1,130.8 L415.9,120.3 L417.6,110.8 L419.4,102.2 L421.2,94.61 L422.9,87.97 L424.7,82.24 L426.5,77.37 L428.2,73.31 L430,70.02 L431.8,67.44 L433.5,65.54 L435.3,64.28 L437.1,63.64 L438.8,63.61 L440.6,64.19 L442.4,65.39 L444.1,67.23 L445.9,69.74 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(255,140,0)" stroke-width="1"><path d="M92.6,154.3 L94.37,142.4 L96.13,131.5 L97.9,121.6 L99.67,112.7 L101.4,104.8 L103.2,97.96 L105,92.01 L106.7,86.89 L108.5,82.54 L110.3,78.85 L112,75.74 L113.8,73.14 L115.6,70.98 L117.3,69.2 L119.1,67.74 L120.9,66.56 L122.6,65.61 L124.4,64.87 L126.2,64.31 L127.9,63.91 L129.7,63.66 L131.5,63.56 L133.2,63.58 L135,63.75 L136.8,64.05 L138.5,64.51 L140.3,65.14 L142.1,65.96 L143.8,67 L145.6,68.29 L147.4,69.87 L149.1,71.8 L150.9,74.13 L152.7,76.92 L154.4,80.25 L156.2,84.2 L158,88.85 L159.7,94.28 L161.5,100.6 L163.3,107.9 L165,116.1 L166.8,125.4 L168.6,135.7 L170.3,147.1 L172.1,159.3 L173.9,172.2 L175.6,185.7 L177.4,199.5 L179.2,213.4 L180.9,227 L182.7,240.2 L184.5,252.7 L186.2,264.4 L188,275.1 L189.8,284.8 L191.5,293.5 L193.3,301.2 L195.1,307.9 L196.8,313.6 L198.6,318.6 L200.4,322.8 L202.1,326.4 L203.9,329.4 L205.7,331.9 L207.4,333.9 L209.2,335.7 L211,337.1 L212.7,338.2 L214.5,339.1 L216.3,339.8 L218,340.3 L219.8,340.7 L221.6,340.9 L223.3,341 L225.1,340.9 L226.9,340.8 L228.6,340.4 L230.4,339.9 L232.2,339.3 L233.9,338.4 L235.7,337.3 L237.5,336 L239.2,334.3 L241,332.3 L242.7,329.9 L244.5,327 L246.3,323.6 L248,319.5 L249.8,314.7 L251.6,309.1 L253.3,302.6 L255.1,295.1 L256.9,286.7 L258.6,277.1 L260.4,266.6 L262.2,255.1 L263.9,242.7 L265.7,229.7 L267.5,216.1 L269.2,202.3 L271,188.4 L272.8,174.9 L274.5,161.8 L276.3,149.4 L278.1,137.9 L279.8,127.4 L281.6,117.9 L283.4,109.4 L285.1,102 L286.9,95.47 L288.7,89.87 L290.4,85.07 L292.2,80.99 L294,77.54 L295.7,74.65 L297.5,72.23 L299.3,70.23 L301,68.58 L302.8,67.24 L304.6,66.15 L306.3,65.29 L308.1,64.62 L309.9,64.13 L311.6,63.8 L313.4,63.6 L315.2,63.55 L316.9,63.63 L318.7,63.85 L320.5,64.22 L322.2,64.74 L324,65.44 L325.8,66.35 L327.5,67.48 L329.3,68.89 L331.1,70.6 L332.8,72.68 L334.6,75.18 L336.4,78.18 L338.1,81.75 L339.9,85.96 L341.7,90.92 L343.4,96.7 L345.2,103.4 L347,111 L348.7,119.7 L350.5,129.4 L352.3,140.2 L354,151.8 L355.8,164.4 L357.6,177.6 L359.3,191.2 L361.1,205 L362.9,218.8 L364.6,232.3 L366.4,245.3 L368.2,257.5 L369.9,268.8 L371.7,279.1 L373.5,288.4 L375.2,296.7 L377,304 L378.8,310.3 L380.5,315.7 L382.3,320.4 L384.1,324.3 L385.8,327.6 L387.6,330.4 L389.4,332.7 L391.1,334.7 L392.9,336.3 L394.7,337.5 L396.4,338.6 L398.2,339.4 L400,340 L401.7,340.5 L403.5,340.8 L405.3,341 L407,341 L408.8,340.9 L410.6,340.6 L412.3,340.2 L414.1,339.7 L415.9,338.9 L417.6,338 L419.4,336.8 L421.2,335.3 L422.9,333.6 L424.7,331.4 L426.5,328.8 L428.2,325.7 L430,322 L431.8,317.7 L433.5,312.5 L435.3,306.6 L437.1,299.7 L438.8,291.9 L440.6,283 L442.4,273.1 L444.1,262.1 L445.9,250.3 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(127,255,0)" stroke-width="1"><path d="M92.6,341 L94.37,341 L96.13,341 L97.9,341 L99.67,341 L101.4,341 L103.2,341 L105,341 L106.7,341 L108.5,341 L110.3,341 L112,341 L113.8,341 L115.6,341 L117.3,341 L119.1,341 L120.9,341 L122.6,341 L124.4,341 L126.2,341 L127.9,341 L129.7,341 L131.5,341 L133.2,341 L135,341 L136.8,341 L138.5,341 L140.3,341 L142.1,341 L143.8,341 L145.6,341 L147.4,341 L149.1,341 L150.9,341 L152.7,341 L154.4,341 L156.2,341 L158,341 L159.7,341 L161.5,341 L163.3,341 L165,341 L166.8,341 L168.6,341 L170.3,341 L172.1,341 L173.9,341 L175.6,341 L177.4,341 L179.2,341 L180.9,341 L182.7,341 L184.5,341 L186.2,341 L188,341 L189.8,341 L191.5,341 L193.3,340.9 L195.1,340.9 L196.8,340.9 L198.6,340.9 L200.4,340.9 L202.1,340.9 L203.9,340.8 L205.7,340.8 L207.4,340.7 L209.2,340.7 L211,340.6 L212.7,340.5 L214.5,340.4 L216.3,340.3 L218,340.2 L219.8,340 L221.6,339.8 L223.3,339.5 L225.1,339.1 L226.9,338.7 L228.6,338.2 L230.4,337.6 L232.2,336.9 L233.9,336 L235.7,334.9 L237.5,333.6 L239.2,332 L241,330.1 L242.7,327.8 L244.5,325.1 L246.3,321.8 L248,317.9 L249.8,313.3 L251.6,307.9 L253.3,301.6 L255.1,294.4 L256.9,286.1 L258.6,276.8 L260.4,266.4 L262.2,255 L263.9,242.7 L265.7,229.7 L267.5,216.1 L269.2,202.3 L271,188.4 L272.8,174.9 L274.5,161.9 L276.3,149.6 L278.1,138.2 L279.8,127.8 L281.6,118.4 L283.4,110.2 L285.1,102.9 L286.9,96.62 L288.7,91.22 L290.4,86.63 L292.2,82.73 L294,79.45 L295.7,76.71 L297.5,74.42 L299.3,72.51 L301,70.93 L302.8,69.62 L304.6,68.54 L306.3,67.65 L308.1,66.91 L309.9,66.31 L311.6,65.81 L313.4,65.41 L315.2,65.07 L316.9,64.8 L318.7,64.57 L320.5,64.39 L322.2,64.24 L324,64.11 L325.8,64.01 L327.5,63.93 L329.3,63.86 L331.1,63.8 L332.8,63.76 L334.6,63.72 L336.4,63.69 L338.1,63.66 L339.9,63.64 L341.7,63.63 L343.4,63.61 L345.2,63.6 L347,63.59 L348.7,63.58 L350.5,63.58 L352.3,63.57 L354,63.57 L355.8,63.56 L357.6,63.56 L359.3,63.56 L361.1,63.56 L362.9,63.56 L364.6,63.55 L366.4,63.55 L368.2,63.55 L369.9,63.55 L371.7,63.55 L373.5,63.55 L375.2,63.55 L377,63.55 L378.8,63.55 L380.5,63.55 L382.3,63.55 L384.1,63.55 L385.8,63.55 L387.6,63.55 L389.4,63.55 L391.1,63.55 L392.9,63.55 L394.7,63.55 L396.4,63.55 L398.2,63.55 L400,63.55 L401.7,63.55 L403.5,63.55 L405.3,63.55 L407,63.55 L408.8,63.55 L410.6,63.55 L412.3,63.55 L414.1,63.55 L415.9,63.55 L417.6,63.55 L419.4,63.55 L421.2,63.55 L422.9,63.55 L424.7,63.55 L426.5,63.55 L428.2,63.55 L430,63.55 L431.8,63.55 L433.5,63.55 L435.3,63.55 L437.1,63.55 L438.8,63.55 L440.6,63.55 L442.4,63.55 L444.1,63.55 L445.9,63.55 " fill="none"/></g>
</g>
<g id="plotPoints" clip-path="url(#plot_window)"></g>
<g id="legendBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="1"><rect x="467" y="58" width="107" height="154"/><rect x="467" y="58" width="107" height="154"/></g>
<g id="legendPoints"><g stroke="rgb(0,0,139)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="86" x2="495" y2="86"/></g>
<g stroke="rgb(139,0,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="114" x2="495" y2="114"/></g>
<g stroke="rgb(0,100,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="142" x2="495" y2="142"/></g>
<g stroke="rgb(255,140,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="170" x2="495" y2="170"/></g>
<g stroke="rgb(127,255,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="481" y1="198" x2="495" y2="198"/></g>
</g>
<g id="legendText">
<text x="502" y="86" font-size="14" font-family="Verdana">k=0</text>
<text x="502" y="114" font-size="14" font-family="Verdana">k=0.5</text>
<text x="502" y="142" font-size="14" font-family="Verdana">k=0.75</text>
<text x="502" y="170" font-size="14" font-family="Verdana">k=0.95</text>
<text x="502" y="198" font-size="14" font-family="Verdana">k=1</text></g>
<g id="title">
<text x="300" y="40" text-anchor="middle" font-size="20" font-family="Verdana">Jacobi Elliptic sn</text></g>
<g id="plotXValues"></g>
<g id="plotYValues"></g>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 19 KiB

BIN
doc/sf_and_dist/graphs/nc_t_cdf.png Normal file
View File

Binary file not shown.
Side by Side

After

Width:  |  Height:  |  Size: 52 KiB

78
doc/sf_and_dist/graphs/nc_t_cdf.svg Normal file
View File

@@ -0,0 +1,78 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<svg width="750" height ="400" version="1.1"
xmlns:svg ="http://www.w3.org/2000/svg"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cc="http://web.resource.org/cc/"
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns ="http://www.w3.org/2000/svg"
>
<!-- SVG plot written using Boost.Plot program (Creator Jacob Voytko) -->
<!-- Use, modification and distribution of Boost.Plot subject to the -->
<!-- Boost Software License, Version 1.0.-->
<!-- (See accompanying file LICENSE_1_0.txt -->
<!-- or copy at http://www.boost.org/LICENSE_1_0.txt) -->
<clipPath id="plot_window"><rect x="85.2" y="59" width="473.6" height="281"/></clipPath>
<g id="imageBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="0" y="0" width="750" height="400"/></g>
<g id="plotBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="2"><rect x="84.2" y="58" width="475.6" height="283"/></g>
<g id="yMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="yMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="xMinorGrid" stroke="rgb(200,220,255)" stroke-width="0.5"></g>
<g id="xMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="yAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="322" y1="58" x2="322" y2="346"/><line x1="84.2" y1="58" x2="84.2" y2="341"/></g>
<g id="xAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="79.2" y1="341" x2="559.8" y2="341"/><line x1="79.2" y1="341" x2="559.8" y2="341"/></g>
<g id="yMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M82.2,335.9 L84.2,335.9 M82.2,330.7 L84.2,330.7 M82.2,325.6 L84.2,325.6 M82.2,320.4 L84.2,320.4 M82.2,310.1 L84.2,310.1 M82.2,305 L84.2,305 M82.2,299.8 L84.2,299.8 M82.2,294.7 L84.2,294.7 M82.2,284.4 L84.2,284.4 M82.2,279.3 L84.2,279.3 M82.2,274.1 L84.2,274.1 M82.2,269 L84.2,269 M82.2,258.7 L84.2,258.7 M82.2,253.5 L84.2,253.5 M82.2,248.4 L84.2,248.4 M82.2,243.2 L84.2,243.2 M82.2,232.9 L84.2,232.9 M82.2,227.8 L84.2,227.8 M82.2,222.7 L84.2,222.7 M82.2,217.5 L84.2,217.5 M82.2,207.2 L84.2,207.2 M82.2,202.1 L84.2,202.1 M82.2,196.9 L84.2,196.9 M82.2,191.8 L84.2,191.8 M82.2,181.5 L84.2,181.5 M82.2,176.3 L84.2,176.3 M82.2,171.2 L84.2,171.2 M82.2,166.1 L84.2,166.1 M82.2,155.8 L84.2,155.8 M82.2,150.6 L84.2,150.6 M82.2,145.5 L84.2,145.5 M82.2,140.3 L84.2,140.3 M82.2,130 L84.2,130 M82.2,124.9 L84.2,124.9 M82.2,119.7 L84.2,119.7 M82.2,114.6 L84.2,114.6 M82.2,104.3 L84.2,104.3 M82.2,99.16 L84.2,99.16 M82.2,94.02 L84.2,94.02 M82.2,88.87 L84.2,88.87 M82.2,78.58 L84.2,78.58 M82.2,73.44 L84.2,73.44 M82.2,68.29 L84.2,68.29 M82.2,63.15 L84.2,63.15 M82.2,341 L84.2,341 " fill="none"/></g>
<g id="xMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M347.7,341 L347.7,343 M373.4,341 L373.4,343 M399.1,341 L399.1,343 M424.8,341 L424.8,343 M476.2,341 L476.2,343 M501.9,341 L501.9,343 M527.6,341 L527.6,343 M553.3,341 L553.3,343 M296.3,341 L296.3,343 M270.6,341 L270.6,343 M244.9,341 L244.9,343 M219.2,341 L219.2,343 M167.8,341 L167.8,343 M142.1,341 L142.1,343 M116.4,341 L116.4,343 M90.7,341 L90.7,343 " fill="none"/></g>
<g id="yMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M79.2,341 L84.2,341 M79.2,315.3 L84.2,315.3 M79.2,289.5 L84.2,289.5 M79.2,263.8 L84.2,263.8 M79.2,238.1 L84.2,238.1 M79.2,212.4 L84.2,212.4 M79.2,186.6 L84.2,186.6 M79.2,160.9 L84.2,160.9 M79.2,135.2 L84.2,135.2 M79.2,109.5 L84.2,109.5 M79.2,83.73 L84.2,83.73 M79.2,58 L84.2,58 M79.2,341 L84.2,341 " fill="none"/></g>
<g id="xMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M322,341 L322,346 M450.5,341 L450.5,346 M322,341 L322,346 M193.5,341 L193.5,346 " fill="none"/></g>
<g id="xTicksValues">
<text x="322" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">0</text>
<text x="450.5" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">10</text>
<text x="322" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">0</text>
<text x="193.5" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-10</text></g>
<g id="yTicksValues">
<text x="73.2" y="343.4" text-anchor="end" font-size="12" font-family="Verdana">0</text>
<text x="73.2" y="317.7" text-anchor="end" font-size="12" font-family="Verdana">0.1</text>
<text x="73.2" y="291.9" text-anchor="end" font-size="12" font-family="Verdana">0.2</text>
<text x="73.2" y="266.2" text-anchor="end" font-size="12" font-family="Verdana">0.3</text>
<text x="73.2" y="240.5" text-anchor="end" font-size="12" font-family="Verdana">0.4</text>
<text x="73.2" y="214.8" text-anchor="end" font-size="12" font-family="Verdana">0.5</text>
<text x="73.2" y="189" text-anchor="end" font-size="12" font-family="Verdana">0.6</text>
<text x="73.2" y="163.3" text-anchor="end" font-size="12" font-family="Verdana">0.7</text>
<text x="73.2" y="137.6" text-anchor="end" font-size="12" font-family="Verdana">0.8</text>
<text x="73.2" y="111.9" text-anchor="end" font-size="12" font-family="Verdana">0.9</text>
<text x="73.2" y="86.13" text-anchor="end" font-size="12" font-family="Verdana">1</text>
<text x="73.2" y="60.4" text-anchor="end" font-size="12" font-family="Verdana">1.1</text>
<text x="73.2" y="343.4" text-anchor="end" font-size="12" font-family="Verdana">0</text></g>
<g id="yLabel">
<text x="42.9" y="199.5" text-anchor="middle" transform = "rotate(-90 42.9 199.5 )" font-size="14" font-family="Verdana">Probability</text></g>
<g id="xLabel">
<text x="322" y="376.7" text-anchor="middle" font-size="14" font-family="Verdana">Random Variable</text></g>
<g id="plotLines" stroke-width="2"><g clip-path="url(#plot_window)" stroke="rgb(0,0,139)" stroke-width="1"><path d="M84.2,335.7 L86.58,335.3 L88.96,334.8 L91.33,334.4 L93.71,333.8 L96.09,333.3 L98.47,332.7 L100.8,332.1 L103.2,331.4 L105.6,330.6 L108,329.8 L110.4,328.9 L112.7,328 L115.1,327 L117.5,325.8 L119.9,324.7 L122.2,323.4 L124.6,322 L127,320.5 L129.4,318.9 L131.8,317.1 L134.1,315.3 L136.5,313.2 L138.9,311.1 L141.3,308.7 L143.6,306.2 L146,303.5 L148.4,300.7 L150.8,297.6 L153.2,294.3 L155.5,290.7 L157.9,287 L160.3,282.9 L162.7,278.7 L165,274.1 L167.4,269.3 L169.8,264.2 L172.2,258.8 L174.6,253.2 L176.9,247.2 L179.3,241 L181.7,234.5 L184.1,227.8 L186.4,220.8 L188.8,213.6 L191.2,206.2 L193.6,198.7 L196,191 L198.3,183.2 L200.7,175.4 L203.1,167.6 L205.5,159.9 L207.8,152.3 L210.2,145 L212.6,137.8 L215,131 L217.4,124.6 L219.7,118.6 L222.1,113.1 L224.5,108 L226.9,103.5 L229.2,99.59 L231.6,96.18 L234,93.3 L236.4,90.92 L238.8,88.99 L241.1,87.47 L243.5,86.32 L245.9,85.46 L248.3,84.84 L250.6,84.42 L253,84.14 L255.4,83.96 L257.8,83.85 L260.2,83.79 L262.5,83.76 L264.9,83.74 L267.3,83.73 L269.7,83.73 L272,83.73 L274.4,83.73 L276.8,83.73 L279.2,83.73 L281.6,83.73 L283.9,83.73 L286.3,83.73 L288.7,83.73 L291.1,83.73 L293.4,83.73 L295.8,83.73 L298.2,83.73 L300.6,83.73 L303,83.73 L305.3,83.73 L307.7,83.73 L310.1,83.73 L312.5,83.73 L314.8,83.73 L317.2,83.73 L319.6,83.73 L322,83.73 L324.4,83.73 L326.7,83.73 L329.1,83.73 L331.5,83.73 L333.9,83.73 L336.2,83.73 L338.6,83.73 L341,83.73 L343.4,83.73 L345.8,83.73 L348.1,83.73 L350.5,83.73 L352.9,83.73 L355.3,83.73 L357.6,83.73 L360,83.73 L362.4,83.73 L364.8,83.73 L367.2,83.73 L369.5,83.73 L371.9,83.73 L374.3,83.73 L376.7,83.73 L379,83.73 L381.4,83.73 L383.8,83.73 L386.2,83.73 L388.6,83.73 L390.9,83.73 L393.3,83.73 L395.7,83.73 L398.1,83.73 L400.4,83.73 L402.8,83.73 L405.2,83.73 L407.6,83.73 L410,83.73 L412.3,83.73 L414.7,83.73 L417.1,83.73 L419.5,83.73 L421.8,83.73 L424.2,83.73 L426.6,83.73 L429,83.73 L431.4,83.73 L433.7,83.73 L436.1,83.73 L438.5,83.73 L440.9,83.73 L443.2,83.73 L445.6,83.73 L448,83.73 L450.4,83.73 L452.8,83.73 L455.1,83.73 L457.5,83.73 L459.9,83.73 L462.3,83.73 L464.6,83.73 L467,83.73 L469.4,83.73 L471.8,83.73 L474.2,83.73 L476.5,83.73 L478.9,83.73 L481.3,83.73 L483.7,83.73 L486,83.73 L488.4,83.73 L490.8,83.73 L493.2,83.73 L495.6,83.73 L497.9,83.73 L500.3,83.73 L502.7,83.73 L505.1,83.73 L507.4,83.73 L509.8,83.73 L512.2,83.73 L514.6,83.73 L517,83.73 L519.3,83.73 L521.7,83.73 L524.1,83.73 L526.5,83.73 L528.8,83.73 L531.2,83.73 L533.6,83.73 L536,83.73 L538.4,83.73 L540.7,83.73 L543.1,83.73 L545.5,83.73 L547.9,83.73 L550.2,83.73 L552.6,83.73 L555,83.73 L557.4,83.73 L559.8,83.73 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(139,0,0)" stroke-width="1"><path d="M84.2,341 L86.58,341 L88.96,341 L91.33,341 L93.71,341 L96.09,340.9 L98.47,340.9 L100.8,340.9 L103.2,340.9 L105.6,340.9 L108,340.9 L110.4,340.9 L112.7,340.9 L115.1,340.9 L117.5,340.9 L119.9,340.9 L122.2,340.8 L124.6,340.8 L127,340.8 L129.4,340.8 L131.8,340.8 L134.1,340.7 L136.5,340.7 L138.9,340.7 L141.3,340.6 L143.6,340.6 L146,340.6 L148.4,340.5 L150.8,340.4 L153.2,340.4 L155.5,340.3 L157.9,340.2 L160.3,340.1 L162.7,340 L165,339.9 L167.4,339.7 L169.8,339.6 L172.2,339.4 L174.6,339.2 L176.9,338.9 L179.3,338.7 L181.7,338.4 L184.1,338 L186.4,337.6 L188.8,337.1 L191.2,336.6 L193.6,336 L196,335.3 L198.3,334.5 L200.7,333.6 L203.1,332.6 L205.5,331.4 L207.8,330.1 L210.2,328.5 L212.6,326.8 L215,324.8 L217.4,322.5 L219.7,319.9 L222.1,316.9 L224.5,313.5 L226.9,309.7 L229.2,305.4 L231.6,300.6 L234,295.1 L236.4,289 L238.8,282.3 L241.1,274.8 L243.5,266.5 L245.9,257.5 L248.3,247.7 L250.6,237.2 L253,226 L255.4,214.2 L257.8,202 L260.2,189.5 L262.5,176.8 L264.9,164.3 L267.3,152.1 L269.7,140.5 L272,129.7 L274.4,120.1 L276.8,111.6 L279.2,104.4 L281.6,98.53 L283.9,93.93 L286.3,90.47 L288.7,87.99 L291.1,86.3 L293.4,85.21 L295.8,84.54 L298.2,84.15 L300.6,83.93 L303,83.82 L305.3,83.77 L307.7,83.75 L310.1,83.74 L312.5,83.73 L314.8,83.73 L317.2,83.73 L319.6,83.73 L322,83.73 L324.4,83.73 L326.7,83.73 L329.1,83.73 L331.5,83.73 L333.9,83.73 L336.2,83.73 L338.6,83.73 L341,83.73 L343.4,83.73 L345.8,83.73 L348.1,83.73 L350.5,83.73 L352.9,83.73 L355.3,83.73 L357.6,83.73 L360,83.73 L362.4,83.73 L364.8,83.73 L367.2,83.73 L369.5,83.73 L371.9,83.73 L374.3,83.73 L376.7,83.73 L379,83.73 L381.4,83.73 L383.8,83.73 L386.2,83.73 L388.6,83.73 L390.9,83.73 L393.3,83.73 L395.7,83.73 L398.1,83.73 L400.4,83.73 L402.8,83.73 L405.2,83.73 L407.6,83.73 L410,83.73 L412.3,83.73 L414.7,83.73 L417.1,83.73 L419.5,83.73 L421.8,83.73 L424.2,83.73 L426.6,83.73 L429,83.73 L431.4,83.73 L433.7,83.73 L436.1,83.73 L438.5,83.73 L440.9,83.73 L443.2,83.73 L445.6,83.73 L448,83.73 L450.4,83.73 L452.8,83.73 L455.1,83.73 L457.5,83.73 L459.9,83.73 L462.3,83.73 L464.6,83.73 L467,83.73 L469.4,83.73 L471.8,83.73 L474.2,83.73 L476.5,83.73 L478.9,83.73 L481.3,83.73 L483.7,83.73 L486,83.73 L488.4,83.73 L490.8,83.73 L493.2,83.73 L495.6,83.73 L497.9,83.73 L500.3,83.73 L502.7,83.73 L505.1,83.73 L507.4,83.73 L509.8,83.73 L512.2,83.73 L514.6,83.73 L517,83.73 L519.3,83.73 L521.7,83.73 L524.1,83.73 L526.5,83.73 L528.8,83.73 L531.2,83.73 L533.6,83.73 L536,83.73 L538.4,83.73 L540.7,83.73 L543.1,83.73 L545.5,83.73 L547.9,83.73 L550.2,83.73 L552.6,83.73 L555,83.73 L557.4,83.73 L559.8,83.73 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(0,100,0)" stroke-width="1"><path d="M84.2,341 L86.58,341 L88.96,341 L91.33,341 L93.71,341 L96.09,341 L98.47,341 L100.8,341 L103.2,341 L105.6,341 L108,341 L110.4,341 L112.7,341 L115.1,341 L117.5,341 L119.9,341 L122.2,341 L124.6,341 L127,341 L129.4,341 L131.8,341 L134.1,341 L136.5,341 L138.9,341 L141.3,341 L143.6,341 L146,341 L148.4,341 L150.8,341 L153.2,341 L155.5,341 L157.9,341 L160.3,341 L162.7,341 L165,341 L167.4,341 L169.8,341 L172.2,341 L174.6,341 L176.9,341 L179.3,341 L181.7,341 L184.1,341 L186.4,341 L188.8,341 L191.2,341 L193.6,341 L196,341 L198.3,341 L200.7,341 L203.1,341 L205.5,341 L207.8,341 L210.2,341 L212.6,341 L215,341 L217.4,341 L219.7,341 L222.1,341 L224.5,341 L226.9,341 L229.2,341 L231.6,341 L234,341 L236.4,341 L238.8,341 L241.1,341 L243.5,341 L245.9,341 L248.3,341 L250.6,341 L253,341 L255.4,340.9 L257.8,340.9 L260.2,340.9 L262.5,340.9 L264.9,340.8 L267.3,340.8 L269.7,340.7 L272,340.6 L274.4,340.5 L276.8,340.3 L279.2,340 L281.6,339.7 L283.9,339.2 L286.3,338.5 L288.7,337.5 L291.1,336.2 L293.4,334.5 L295.8,332.1 L298.2,328.9 L300.6,324.7 L303,319.2 L305.3,312.1 L307.7,303.3 L310.1,292.6 L312.5,279.7 L314.8,265 L317.2,248.5 L319.6,230.8 L322,212.4 L324.4,194 L326.7,176.2 L329.1,159.8 L331.5,145 L333.9,132.2 L336.2,121.4 L338.6,112.6 L341,105.5 L343.4,100 L345.8,95.81 L348.1,92.62 L350.5,90.24 L352.9,88.48 L355.3,87.19 L357.6,86.25 L360,85.56 L362.4,85.07 L364.8,84.71 L367.2,84.44 L369.5,84.25 L371.9,84.12 L374.3,84.02 L376.7,83.94 L379,83.89 L381.4,83.85 L383.8,83.82 L386.2,83.8 L388.6,83.78 L390.9,83.77 L393.3,83.76 L395.7,83.75 L398.1,83.75 L400.4,83.74 L402.8,83.74 L405.2,83.74 L407.6,83.73 L410,83.73 L412.3,83.73 L414.7,83.73 L417.1,83.73 L419.5,83.73 L421.8,83.73 L424.2,83.73 L426.6,83.73 L429,83.73 L431.4,83.73 L433.7,83.73 L436.1,83.73 L438.5,83.73 L440.9,83.73 L443.2,83.73 L445.6,83.73 L448,83.73 L450.4,83.73 L452.8,83.73 L455.1,83.73 L457.5,83.73 L459.9,83.73 L462.3,83.73 L464.6,83.73 L467,83.73 L469.4,83.73 L471.8,83.73 L474.2,83.73 L476.5,83.73 L478.9,83.73 L481.3,83.73 L483.7,83.73 L486,83.73 L488.4,83.73 L490.8,83.73 L493.2,83.73 L495.6,83.73 L497.9,83.73 L500.3,83.73 L502.7,83.73 L505.1,83.73 L507.4,83.73 L509.8,83.73 L512.2,83.73 L514.6,83.73 L517,83.73 L519.3,83.73 L521.7,83.73 L524.1,83.73 L526.5,83.73 L528.8,83.73 L531.2,83.73 L533.6,83.73 L536,83.73 L538.4,83.73 L540.7,83.73 L543.1,83.73 L545.5,83.73 L547.9,83.73 L550.2,83.73 L552.6,83.73 L555,83.73 L557.4,83.73 L559.8,83.73 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(255,140,0)" stroke-width="1"><path d="M84.2,341 L86.58,341 L88.96,341 L91.33,341 L93.71,341 L96.09,341 L98.47,341 L100.8,341 L103.2,341 L105.6,341 L108,341 L110.4,341 L112.7,341 L115.1,341 L117.5,341 L119.9,341 L122.2,341 L124.6,341 L127,341 L129.4,341 L131.8,341 L134.1,341 L136.5,341 L138.9,341 L141.3,341 L143.6,341 L146,341 L148.4,341 L150.8,341 L153.2,341 L155.5,341 L157.9,341 L160.3,341 L162.7,341 L165,341 L167.4,341 L169.8,341 L172.2,341 L174.6,341 L176.9,341 L179.3,341 L181.7,341 L184.1,341 L186.4,341 L188.8,341 L191.2,341 L193.6,341 L196,341 L198.3,341 L200.7,341 L203.1,341 L205.5,341 L207.8,341 L210.2,341 L212.6,341 L215,341 L217.4,341 L219.7,341 L222.1,341 L224.5,341 L226.9,341 L229.2,341 L231.6,341 L234,341 L236.4,341 L238.8,341 L241.1,341 L243.5,341 L245.9,341 L248.3,341 L250.6,341 L253,341 L255.4,341 L257.8,341 L260.2,341 L262.5,341 L264.9,341 L267.3,341 L269.7,341 L272,341 L274.4,341 L276.8,341 L279.2,341 L281.6,341 L283.9,341 L286.3,341 L288.7,341 L291.1,341 L293.4,341 L295.8,341 L298.2,341 L300.6,341 L303,341 L305.3,341 L307.7,341 L310.1,341 L312.5,341 L314.8,341 L317.2,341 L319.6,341 L322,341 L324.4,341 L326.7,341 L329.1,341 L331.5,341 L333.9,341 L336.2,341 L338.6,341 L341,340.9 L343.4,340.8 L345.8,340.6 L348.1,340.2 L350.5,339.5 L352.9,338.4 L355.3,336.7 L357.6,334.3 L360,330.8 L362.4,326.2 L364.8,320.3 L367.2,313.2 L369.5,304.7 L371.9,295 L374.3,284.2 L376.7,272.7 L379,260.5 L381.4,247.9 L383.8,235.3 L386.2,222.7 L388.6,210.5 L390.9,198.7 L393.3,187.5 L395.7,177 L398.1,167.2 L400.4,158.2 L402.8,150 L405.2,142.5 L407.6,135.7 L410,129.6 L412.3,124.2 L414.7,119.3 L417.1,115 L419.5,111.2 L421.8,107.8 L424.2,104.9 L426.6,102.3 L429,99.98 L431.4,97.97 L433.7,96.21 L436.1,94.67 L438.5,93.32 L440.9,92.14 L443.2,91.11 L445.6,90.21 L448,89.42 L450.4,88.73 L452.8,88.12 L455.1,87.6 L457.5,87.14 L459.9,86.73 L462.3,86.38 L464.6,86.07 L467,85.79 L469.4,85.56 L471.8,85.35 L474.2,85.16 L476.5,85 L478.9,84.86 L481.3,84.73 L483.7,84.62 L486,84.52 L488.4,84.43 L490.8,84.36 L493.2,84.29 L495.6,84.23 L497.9,84.18 L500.3,84.13 L502.7,84.09 L505.1,84.05 L507.4,84.02 L509.8,83.99 L512.2,83.96 L514.6,83.94 L517,83.92 L519.3,83.9 L521.7,83.88 L524.1,83.87 L526.5,83.85 L528.8,83.84 L531.2,83.83 L533.6,83.82 L536,83.81 L538.4,83.8 L540.7,83.8 L543.1,83.79 L545.5,83.79 L547.9,83.78 L550.2,83.78 L552.6,83.77 L555,83.77 L557.4,83.76 L559.8,83.76 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(127,255,0)" stroke-width="1"><path d="M84.2,341 L86.58,341 L88.96,341 L91.33,341 L93.71,341 L96.09,341 L98.47,341 L100.8,341 L103.2,341 L105.6,341 L108,341 L110.4,341 L112.7,341 L115.1,341 L117.5,341 L119.9,341 L122.2,341 L124.6,341 L127,341 L129.4,341 L131.8,341 L134.1,341 L136.5,341 L138.9,341 L141.3,341 L143.6,341 L146,341 L148.4,341 L150.8,341 L153.2,341 L155.5,341 L157.9,341 L160.3,341 L162.7,341 L165,341 L167.4,341 L169.8,341 L172.2,341 L174.6,341 L176.9,341 L179.3,341 L181.7,341 L184.1,341 L186.4,341 L188.8,341 L191.2,341 L193.6,341 L196,341 L198.3,341 L200.7,341 L203.1,341 L205.5,341 L207.8,341 L210.2,341 L212.6,341 L215,341 L217.4,341 L219.7,341 L222.1,341 L224.5,341 L226.9,341 L229.2,341 L231.6,341 L234,341 L236.4,341 L238.8,341 L241.1,341 L243.5,341 L245.9,341 L248.3,341 L250.6,341 L253,341 L255.4,341 L257.8,341 L260.2,341 L262.5,341 L264.9,341 L267.3,341 L269.7,341 L272,341 L274.4,341 L276.8,341 L279.2,341 L281.6,341 L283.9,341 L286.3,341 L288.7,341 L291.1,341 L293.4,341 L295.8,341 L298.2,341 L300.6,341 L303,341 L305.3,341 L307.7,341 L310.1,341 L312.5,341 L314.8,341 L317.2,341 L319.6,341 L322,341 L324.4,341 L326.7,341 L329.1,341 L331.5,341 L333.9,341 L336.2,341 L338.6,341 L341,341 L343.4,341 L345.8,341 L348.1,341 L350.5,341 L352.9,341 L355.3,341 L357.6,341 L360,341 L362.4,341 L364.8,341 L367.2,341 L369.5,341 L371.9,341 L374.3,341 L376.7,341 L379,341 L381.4,341 L383.8,340.9 L386.2,340.9 L388.6,340.8 L390.9,340.6 L393.3,340.3 L395.7,339.9 L398.1,339.3 L400.4,338.4 L402.8,337.3 L405.2,335.7 L407.6,333.8 L410,331.4 L412.3,328.5 L414.7,325.1 L417.1,321.2 L419.5,316.7 L421.8,311.7 L424.2,306.1 L426.6,300.1 L429,293.7 L431.4,286.9 L433.7,279.8 L436.1,272.4 L438.5,264.8 L440.9,257.1 L443.2,249.3 L445.6,241.5 L448,233.7 L450.4,226.1 L452.8,218.5 L455.1,211.1 L457.5,203.9 L459.9,196.9 L462.3,190.2 L464.6,183.7 L467,177.5 L469.4,171.5 L471.8,165.9 L474.2,160.5 L476.5,155.4 L478.9,150.6 L481.3,146.1 L483.7,141.8 L486,137.8 L488.4,134 L490.8,130.5 L493.2,127.2 L495.6,124.1 L497.9,121.2 L500.3,118.5 L502.7,116 L505.1,113.7 L507.4,111.5 L509.8,109.5 L512.2,107.6 L514.6,105.9 L517,104.2 L519.3,102.7 L521.7,101.4 L524.1,100.1 L526.5,98.88 L528.8,97.78 L531.2,96.75 L533.6,95.81 L536,94.93 L538.4,94.12 L540.7,93.37 L543.1,92.67 L545.5,92.03 L547.9,91.43 L550.2,90.88 L552.6,90.37 L555,89.9 L557.4,89.46 L559.8,89.05 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(0,0,139)" stroke-width="1"><path d="M84.2,341 L86.58,341 L88.96,341 L91.33,341 L93.71,341 L96.09,341 L98.47,341 L100.8,341 L103.2,341 L105.6,341 L108,341 L110.4,341 L112.7,341 L115.1,341 L117.5,341 L119.9,341 L122.2,341 L124.6,341 L127,341 L129.4,341 L131.8,341 L134.1,341 L136.5,341 L138.9,341 L141.3,341 L143.6,341 L146,341 L148.4,341 L150.8,341 L153.2,341 L155.5,341 L157.9,341 L160.3,341 L162.7,341 L165,341 L167.4,341 L169.8,341 L172.2,341 L174.6,341 L176.9,341 L179.3,341 L181.7,341 L184.1,341 L186.4,341 L188.8,341 L191.2,341 L193.6,341 L196,341 L198.3,341 L200.7,341 L203.1,341 L205.5,341 L207.8,341 L210.2,341 L212.6,341 L215,341 L217.4,341 L219.7,341 L222.1,341 L224.5,341 L226.9,341 L229.2,341 L231.6,341 L234,341 L236.4,341 L238.8,341 L241.1,341 L243.5,341 L245.9,341 L248.3,341 L250.6,341 L253,341 L255.4,341 L257.8,341 L260.2,341 L262.5,341 L264.9,341 L267.3,341 L269.7,341 L272,341 L274.4,341 L276.8,341 L279.2,341 L281.6,341 L283.9,341 L286.3,341 L288.7,341 L291.1,341 L293.4,341 L295.8,341 L298.2,341 L300.6,341 L303,341 L305.3,341 L307.7,341 L310.1,341 L312.5,341 L314.8,341 L317.2,341 L319.6,341 L322,341 L324.4,341 L326.7,341 L329.1,341 L331.5,341 L333.9,341 L336.2,341 L338.6,341 L341,341 L343.4,341 L345.8,341 L348.1,341 L350.5,341 L352.9,341 L355.3,341 L357.6,341 L360,341 L362.4,341 L364.8,341 L367.2,341 L369.5,341 L371.9,341 L374.3,341 L376.7,341 L379,341 L381.4,341 L383.8,341 L386.2,341 L388.6,341 L390.9,341 L393.3,341 L395.7,341 L398.1,341 L400.4,341 L402.8,341 L405.2,341 L407.6,341 L410,341 L412.3,341 L414.7,341 L417.1,341 L419.5,341 L421.8,341 L424.2,341 L426.6,341 L429,341 L431.4,341 L433.7,341 L436.1,341 L438.5,341 L440.9,341 L443.2,341 L445.6,341 L448,341 L450.4,341 L452.8,341 L455.1,341 L457.5,341 L459.9,341 L462.3,341 L464.6,341 L467,341 L469.4,340.9 L471.8,340.9 L474.2,340.8 L476.5,340.6 L478.9,340.3 L481.3,339.8 L483.7,339 L486,337.7 L488.4,335.8 L490.8,332.9 L493.2,328.9 L495.6,323.5 L497.9,316.4 L500.3,307.3 L502.7,296.1 L505.1,282.8 L507.4,267.5 L509.8,250.5 L512.2,232.3 L514.6,213.4 L517,194.5 L519.3,176.2 L521.7,159.1 L524.1,143.6 L526.5,130.1 L528.8,118.6 L531.2,109.3 L533.6,101.9 L536,96.32 L538.4,92.19 L540.7,89.24 L543.1,87.21 L545.5,85.86 L547.9,85 L550.2,84.46 L552.6,84.14 L555,83.95 L557.4,83.84 L559.8,83.79 " fill="none"/></g>
</g>
<g id="plotPoints" clip-path="url(#plot_window)"></g>
<g id="legendBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="1"><rect x="573.8" y="58" width="150.2" height="195"/><rect x="573.8" y="58" width="150.2" height="195"/></g>
<g id="legendPoints"><g stroke="rgb(0,0,139)" fill="rgb(255,255,255)" stroke-width="1"><line x1="588.8" y1="88" x2="603.8" y2="88"/></g>
<g stroke="rgb(139,0,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="588.8" y1="118" x2="603.8" y2="118"/></g>
<g stroke="rgb(0,100,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="588.8" y1="148" x2="603.8" y2="148"/></g>
<g stroke="rgb(255,140,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="588.8" y1="178" x2="603.8" y2="178"/></g>
<g stroke="rgb(127,255,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="588.8" y1="208" x2="603.8" y2="208"/></g>
<g stroke="rgb(0,0,139)" fill="rgb(255,255,255)" stroke-width="1"><line x1="588.8" y1="238" x2="603.8" y2="238"/></g>
</g>
<g id="legendText">
<text x="611.3" y="88" font-size="15" font-family="Verdana">v=10, &#x3B4;=-10</text>
<text x="611.3" y="118" font-size="15" font-family="Verdana">v=10, &#x3B4;=-5</text>
<text x="611.3" y="148" font-size="15" font-family="Verdana">v=10, &#x3B4;=0</text>
<text x="611.3" y="178" font-size="15" font-family="Verdana">v=10, &#x3B4;=5</text>
<text x="611.3" y="208" font-size="15" font-family="Verdana">v=10, &#x3B4;=10</text>
<text x="611.3" y="238" font-size="15" font-family="Verdana">v=inf, &#x3B4;=15</text></g>
<g id="title">
<text x="375" y="40" text-anchor="middle" font-size="20" font-family="Verdana">Non Central T CDF</text></g>
<g id="plotXValues"></g>
<g id="plotYValues"></g>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 22 KiB

29
doc/sf_and_dist/graphs/nc_t_pdf.svg
View File

@@ -21,9 +21,9 @@ xmlns ="http://www.w3.org/2000/svg"
<g id="xMajorGrid" stroke="rgb(200,220,255)" stroke-width="1"></g>
<g id="yAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="322" y1="58" x2="322" y2="346"/><line x1="84.2" y1="58" x2="84.2" y2="341"/></g>
<g id="xAxis" stroke="rgb(0,0,0)" stroke-width="1"><line x1="79.2" y1="341" x2="559.8" y2="341"/><line x1="79.2" y1="341" x2="559.8" y2="341"/></g>
<g id="yMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M82.2,327.8 L84.2,327.8 M82.2,314.6 L84.2,314.6 M82.2,301.3 L84.2,301.3 M82.2,288.1 L84.2,288.1 M82.2,261.7 L84.2,261.7 M82.2,248.4 L84.2,248.4 M82.2,235.2 L84.2,235.2 M82.2,222 L84.2,222 M82.2,195.5 L84.2,195.5 M82.2,182.3 L84.2,182.3 M82.2,169.1 L84.2,169.1 M82.2,155.9 L84.2,155.9 M82.2,129.4 L84.2,129.4 M82.2,116.2 L84.2,116.2 M82.2,103 L84.2,103 M82.2,89.75 L84.2,89.75 M82.2,63.3 L84.2,63.3 M82.2,341 L84.2,341 " fill="none"/></g>
<g id="yMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M82.2,328.1 L84.2,328.1 M82.2,315.2 L84.2,315.2 M82.2,302.3 L84.2,302.3 M82.2,289.4 L84.2,289.4 M82.2,263.6 L84.2,263.6 M82.2,250.7 L84.2,250.7 M82.2,237.8 L84.2,237.8 M82.2,224.9 L84.2,224.9 M82.2,199.1 L84.2,199.1 M82.2,186.2 L84.2,186.2 M82.2,173.3 L84.2,173.3 M82.2,160.4 L84.2,160.4 M82.2,134.6 L84.2,134.6 M82.2,121.7 L84.2,121.7 M82.2,108.8 L84.2,108.8 M82.2,95.94 L84.2,95.94 M82.2,70.15 L84.2,70.15 M82.2,341 L84.2,341 " fill="none"/></g>
<g id="xMinorTicks" stroke="rgb(0,0,0)" stroke-width="1"><path d="M347.7,341 L347.7,343 M373.4,341 L373.4,343 M399.1,341 L399.1,343 M424.8,341 L424.8,343 M476.2,341 L476.2,343 M501.9,341 L501.9,343 M527.6,341 L527.6,343 M553.3,341 L553.3,343 M296.3,341 L296.3,343 M270.6,341 L270.6,343 M244.9,341 L244.9,343 M219.2,341 L219.2,343 M167.8,341 L167.8,343 M142.1,341 L142.1,343 M116.4,341 L116.4,343 M90.7,341 L90.7,343 " fill="none"/></g>
<g id="yMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M79.2,341 L84.2,341 M79.2,274.9 L84.2,274.9 M79.2,208.8 L84.2,208.8 M79.2,142.6 L84.2,142.6 M79.2,76.53 L84.2,76.53 M79.2,341 L84.2,341 " fill="none"/></g>
<g id="yMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M79.2,341 L84.2,341 M79.2,276.5 L84.2,276.5 M79.2,212 L84.2,212 M79.2,147.5 L84.2,147.5 M79.2,83.05 L84.2,83.05 M79.2,341 L84.2,341 " fill="none"/></g>
<g id="xMajorTicks" stroke="rgb(0,0,0)" stroke-width="2"><path d="M322,341 L322,346 M450.5,341 L450.5,346 M322,341 L322,346 M193.5,341 L193.5,346 " fill="none"/></g>
<g id="xTicksValues">
<text x="322" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">0</text>
@@ -32,35 +32,38 @@ xmlns ="http://www.w3.org/2000/svg"
<text x="193.5" y="361.6" text-anchor="middle" font-size="12" font-family="Verdana">-10</text></g>
<g id="yTicksValues">
<text x="73.2" y="343.4" text-anchor="end" font-size="12" font-family="Verdana">0</text>
<text x="73.2" y="277.3" text-anchor="end" font-size="12" font-family="Verdana">0.1</text>
<text x="73.2" y="211.2" text-anchor="end" font-size="12" font-family="Verdana">0.2</text>
<text x="73.2" y="145" text-anchor="end" font-size="12" font-family="Verdana">0.3</text>
<text x="73.2" y="78.93" text-anchor="end" font-size="12" font-family="Verdana">0.4</text>
<text x="73.2" y="278.9" text-anchor="end" font-size="12" font-family="Verdana">0.1</text>
<text x="73.2" y="214.4" text-anchor="end" font-size="12" font-family="Verdana">0.2</text>
<text x="73.2" y="149.9" text-anchor="end" font-size="12" font-family="Verdana">0.3</text>
<text x="73.2" y="85.45" text-anchor="end" font-size="12" font-family="Verdana">0.4</text>
<text x="73.2" y="343.4" text-anchor="end" font-size="12" font-family="Verdana">0</text></g>
<g id="yLabel">
<text x="42.9" y="199.5" text-anchor="middle" transform = "rotate(-90 42.9 199.5 )" font-size="14" font-family="Verdana">Probability</text></g>
<g id="xLabel">
<text x="322" y="376.7" text-anchor="middle" font-size="14" font-family="Verdana">Random Variable</text></g>
<g id="plotLines" stroke-width="2"><g clip-path="url(#plot_window)" stroke="rgb(0,0,139)" stroke-width="1"><path d="M84.2,335.6 L86.58,335.1 L88.96,334.7 L91.33,334.2 L93.71,333.6 L96.09,333 L98.47,332.4 L100.8,331.7 L103.2,331 L105.6,330.2 L108,329.3 L110.4,328.3 L112.7,327.3 L115.1,326.2 L117.5,325.1 L119.9,323.8 L122.2,322.4 L124.6,321 L127,319.4 L129.4,317.7 L131.8,315.9 L134.1,314 L136.5,312 L138.9,309.8 L141.3,307.4 L143.6,304.9 L146,302.3 L148.4,299.5 L150.8,296.6 L153.2,293.5 L155.5,290.3 L157.9,286.9 L160.3,283.4 L162.7,279.8 L165,276.1 L167.4,272.2 L169.8,268.3 L172.2,264.4 L174.6,260.5 L176.9,256.6 L179.3,252.8 L181.7,249.1 L184.1,245.7 L186.4,242.5 L188.8,239.6 L191.2,237.1 L193.6,235.1 L196,233.6 L198.3,232.8 L200.7,232.6 L203.1,233.3 L205.5,234.7 L207.8,237 L210.2,240.1 L212.6,244.1 L215,248.9 L217.4,254.5 L219.7,260.8 L222.1,267.6 L224.5,274.9 L226.9,282.4 L229.2,289.9 L231.6,297.4 L234,304.5 L236.4,311.2 L238.8,317.2 L241.1,322.6 L243.5,327.1 L245.9,330.9 L248.3,333.9 L250.6,336.2 L253,337.9 L255.4,339.1 L257.8,339.9 L260.2,340.4 L262.5,340.7 L264.9,340.8 L267.3,340.9 L269.7,341 L272,341 L274.4,341 L276.8,341 L279.2,341 L281.6,341 L283.9,341 L286.3,341 L288.7,341 L291.1,341 L293.4,341 L295.8,341 L298.2,341 L300.6,341 L303,341 L305.3,341 L307.7,341 L310.1,341 L312.5,341 L314.8,341 L317.2,341 L319.6,341 L322,341 L324.4,341 L326.7,341 L329.1,341 L331.5,341 L333.9,341 L336.2,341 L338.6,341 L341,341 L343.4,341 L345.8,341 L348.1,341 L350.5,341 L352.9,341 L355.3,341 L357.6,341 L360,341 L362.4,341 L364.8,341 L367.2,341 L369.5,341 L371.9,341 L374.3,341 L376.7,341 L379,341 L381.4,341 L383.8,341 L386.2,341 L388.6,341 L390.9,341 L393.3,341 L395.7,341 L398.1,341 L400.4,341 L402.8,341 L405.2,341 L407.6,341 L410,341 L412.3,341 L414.7,341 L417.1,341 L419.5,341 L421.8,341 L424.2,341 L426.6,341 L429,341 L431.4,341 L433.7,341 L436.1,341 L438.5,341 L440.9,341 L443.2,341 L445.6,341 L448,341 L450.4,341 L452.8,341 L455.1,341 L457.5,341 L459.9,341 L462.3,341 L464.6,341 L467,341 L469.4,341 L471.8,341 L474.2,341 L476.5,341 L478.9,341 L481.3,341 L483.7,341 L486,341 L488.4,341 L490.8,341 L493.2,341 L495.6,341 L497.9,341 L500.3,341 L502.7,341 L505.1,341 L507.4,341 L509.8,341 L512.2,341 L514.6,341 L517,341 L519.3,341 L521.7,341 L524.1,341 L526.5,341 L528.8,341 L531.2,341 L533.6,341 L536,341 L538.4,341 L540.7,341 L543.1,341 L545.5,341 L547.9,341 L550.2,341 L552.6,341 L555,341 L557.4,341 L559.8,341 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(139,0,0)" stroke-width="1"><path d="M84.2,341 L86.58,341 L88.96,340.9 L91.33,340.9 L93.71,340.9 L96.09,340.9 L98.47,340.9 L100.8,340.9 L103.2,340.9 L105.6,340.9 L108,340.9 L110.4,340.9 L112.7,340.9 L115.1,340.8 L117.5,340.8 L119.9,340.8 L122.2,340.8 L124.6,340.8 L127,340.7 L129.4,340.7 L131.8,340.7 L134.1,340.6 L136.5,340.6 L138.9,340.5 L141.3,340.5 L143.6,340.4 L146,340.3 L148.4,340.2 L150.8,340.1 L153.2,340 L155.5,339.9 L157.9,339.7 L160.3,339.6 L162.7,339.4 L165,339.1 L167.4,338.9 L169.8,338.6 L172.2,338.3 L174.6,337.9 L176.9,337.5 L179.3,337 L181.7,336.4 L184.1,335.8 L186.4,335 L188.8,334.2 L191.2,333.2 L193.6,332.1 L196,330.8 L198.3,329.3 L200.7,327.6 L203.1,325.7 L205.5,323.5 L207.8,321 L210.2,318.1 L212.6,314.9 L215,311.2 L217.4,307.1 L219.7,302.4 L222.1,297.1 L224.5,291.3 L226.9,284.7 L229.2,277.5 L231.6,269.6 L234,261.1 L236.4,251.8 L238.8,242 L241.1,231.7 L243.5,221.2 L245.9,210.5 L248.3,200.1 L250.6,190.2 L253,181.3 L255.4,173.9 L257.8,168.5 L260.2,165.5 L262.5,165.5 L264.9,168.7 L267.3,175.4 L269.7,185.5 L272,198.7 L274.4,214.5 L276.8,232.1 L279.2,250.5 L281.6,268.5 L283.9,285.4 L286.3,300.2 L288.7,312.5 L291.1,322.1 L293.4,329.1 L295.8,333.9 L298.2,337 L300.6,338.9 L303,339.9 L305.3,340.5 L307.7,340.8 L310.1,340.9 L312.5,341 L314.8,341 L317.2,341 L319.6,341 L322,341 L324.4,341 L326.7,341 L329.1,341 L331.5,341 L333.9,341 L336.2,341 L338.6,341 L341,341 L343.4,341 L345.8,341 L348.1,341 L350.5,341 L352.9,341 L355.3,341 L357.6,341 L360,341 L362.4,341 L364.8,341 L367.2,341 L369.5,341 L371.9,341 L374.3,341 L376.7,341 L379,341 L381.4,341 L383.8,341 L386.2,341 L388.6,341 L390.9,341 L393.3,341 L395.7,341 L398.1,341 L400.4,341 L402.8,341 L405.2,341 L407.6,341 L410,341 L412.3,341 L414.7,341 L417.1,341 L419.5,341 L421.8,341 L424.2,341 L426.6,341 L429,341 L431.4,341 L433.7,341 L436.1,341 L438.5,341 L440.9,341 L443.2,341 L445.6,341 L448,341 L450.4,341 L452.8,341 L455.1,341 L457.5,341 L459.9,341 L462.3,341 L464.6,341 L467,341 L469.4,341 L471.8,341 L474.2,341 L476.5,341 L478.9,341 L481.3,341 L483.7,341 L486,341 L488.4,341 L490.8,341 L493.2,341 L495.6,341 L497.9,341 L500.3,341 L502.7,341 L505.1,341 L507.4,341 L509.8,341 L512.2,341 L514.6,341 L517,341 L519.3,341 L521.7,341 L524.1,341 L526.5,341 L528.8,341 L531.2,341 L533.6,341 L536,341 L538.4,341 L540.7,341 L543.1,341 L545.5,341 L547.9,341 L550.2,341 L552.6,341 L555,341 L557.4,341 L559.8,341 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(0,100,0)" stroke-width="1"><path d="M84.2,341 L86.58,341 L88.96,341 L91.33,341 L93.71,341 L96.09,341 L98.47,341 L100.8,341 L103.2,341 L105.6,341 L108,341 L110.4,341 L112.7,341 L115.1,341 L117.5,341 L119.9,341 L122.2,341 L124.6,341 L127,341 L129.4,341 L131.8,341 L134.1,341 L136.5,341 L138.9,341 L141.3,341 L143.6,341 L146,341 L148.4,341 L150.8,341 L153.2,341 L155.5,341 L157.9,341 L160.3,341 L162.7,341 L165,341 L167.4,341 L169.8,341 L172.2,341 L174.6,341 L176.9,341 L179.3,341 L181.7,341 L184.1,341 L186.4,341 L188.8,341 L191.2,341 L193.6,341 L196,341 L198.3,341 L200.7,341 L203.1,341 L205.5,341 L207.8,341 L210.2,341 L212.6,341 L215,341 L217.4,341 L219.7,341 L222.1,341 L224.5,341 L226.9,341 L229.2,341 L231.6,341 L234,341 L236.4,341 L238.8,341 L241.1,341 L243.5,340.9 L245.9,340.9 L248.3,340.9 L250.6,340.9 L253,340.9 L255.4,340.8 L257.8,340.7 L260.2,340.6 L262.5,340.5 L264.9,340.4 L267.3,340.1 L269.7,339.8 L272,339.4 L274.4,338.8 L276.8,337.9 L279.2,336.8 L281.6,335.2 L283.9,332.9 L286.3,329.9 L288.7,325.7 L291.1,320.1 L293.4,312.6 L295.8,302.8 L298.2,290.1 L300.6,274.1 L303,254.5 L305.3,231.4 L307.7,205.3 L310.1,177.3 L312.5,149.1 L314.8,123.3 L317.2,102.3 L319.6,88.52 L322,83.73 L324.4,88.52 L326.7,102.3 L329.1,123.3 L331.5,149.1 L333.9,177.2 L336.2,205.3 L338.6,231.4 L341,254.5 L343.4,274.1 L345.8,290.1 L348.1,302.8 L350.5,312.6 L352.9,320.1 L355.3,325.7 L357.6,329.9 L360,332.9 L362.4,335.2 L364.8,336.8 L367.2,337.9 L369.5,338.8 L371.9,339.4 L374.3,339.8 L376.7,340.1 L379,340.4 L381.4,340.5 L383.8,340.6 L386.2,340.7 L388.6,340.8 L390.9,340.9 L393.3,340.9 L395.7,340.9 L398.1,340.9 L400.4,340.9 L402.8,341 L405.2,341 L407.6,341 L410,341 L412.3,341 L414.7,341 L417.1,341 L419.5,341 L421.8,341 L424.2,341 L426.6,341 L429,341 L431.4,341 L433.7,341 L436.1,341 L438.5,341 L440.9,341 L443.2,341 L445.6,341 L448,341 L450.4,341 L452.8,341 L455.1,341 L457.5,341 L459.9,341 L462.3,341 L464.6,341 L467,341 L469.4,341 L471.8,341 L474.2,341 L476.5,341 L478.9,341 L481.3,341 L483.7,341 L486,341 L488.4,341 L490.8,341 L493.2,341 L495.6,341 L497.9,341 L500.3,341 L502.7,341 L505.1,341 L507.4,341 L509.8,341 L512.2,341 L514.6,341 L517,341 L519.3,341 L521.7,341 L524.1,341 L526.5,341 L528.8,341 L531.2,341 L533.6,341 L536,341 L538.4,341 L540.7,341 L543.1,341 L545.5,341 L547.9,341 L550.2,341 L552.6,341 L555,341 L557.4,341 L559.8,341 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(255,140,0)" stroke-width="1"><path d="M84.2,341 L86.58,341 L88.96,341 L91.33,341 L93.71,341 L96.09,341 L98.47,341 L100.8,341 L103.2,341 L105.6,341 L108,341 L110.4,341 L112.7,341 L115.1,341 L117.5,341 L119.9,341 L122.2,341 L124.6,341 L127,341 L129.4,341 L131.8,341 L134.1,341 L136.5,341 L138.9,341 L141.3,341 L143.6,341 L146,341 L148.4,341 L150.8,341 L153.2,341 L155.5,341 L157.9,341 L160.3,341 L162.7,341 L165,341 L167.4,341 L169.8,341 L172.2,341 L174.6,341 L176.9,341 L179.3,341 L181.7,341 L184.1,341 L186.4,341 L188.8,341 L191.2,341 L193.6,341 L196,341 L198.3,341 L200.7,341 L203.1,341 L205.5,341 L207.8,341 L210.2,341 L212.6,341 L215,341 L217.4,341 L219.7,341 L222.1,341 L224.5,341 L226.9,341 L229.2,341 L231.6,341 L234,341 L236.4,341 L238.8,341 L241.1,341 L243.5,341 L245.9,341 L248.3,341 L250.6,341 L253,341 L255.4,341 L257.8,341 L260.2,341 L262.5,341 L264.9,341 L267.3,341 L269.7,341 L272,341 L274.4,341 L276.8,341 L279.2,341 L281.6,341 L283.9,341 L286.3,341 L288.7,341 L291.1,341 L293.4,341 L295.8,341 L298.2,341 L300.6,341 L303,341 L305.3,341 L307.7,341 L310.1,341 L312.5,341 L314.8,341 L317.2,341 L319.6,341 L322,341 L324.4,341 L326.7,341 L329.1,341 L331.5,341 L333.9,340.9 L336.2,340.8 L338.6,340.5 L341,339.9 L343.4,338.9 L345.8,337 L348.1,333.9 L350.5,329.1 L352.9,322.1 L355.3,312.5 L357.6,300.2 L360,285.4 L362.4,268.6 L364.8,250.5 L367.2,232.1 L369.5,214.5 L371.9,198.7 L374.3,185.5 L376.7,175.4 L379,168.7 L381.4,165.5 L383.8,165.5 L386.2,168.5 L388.6,173.9 L390.9,181.3 L393.3,190.2 L395.7,200 L398.1,210.5 L400.4,221.1 L402.8,231.7 L405.2,242 L407.6,251.8 L410,261.1 L412.3,269.6 L414.7,277.5 L417.1,284.7 L419.5,291.3 L421.8,297.1 L424.2,302.4 L426.6,307.1 L429,311.2 L431.4,314.9 L433.7,318.1 L436.1,321 L438.5,323.5 L440.9,325.7 L443.2,327.6 L445.6,329.3 L448,330.8 L450.4,332.1 L452.8,333.2 L455.1,334.2 L457.5,335 L459.9,335.7 L462.3,336.4 L464.6,337 L467,337.5 L469.4,337.9 L471.8,338.3 L474.2,338.6 L476.5,338.9 L478.9,339.1 L481.3,339.4 L483.7,339.6 L486,339.7 L488.4,339.9 L490.8,340 L493.2,340.1 L495.6,340.2 L497.9,340.3 L500.3,340.4 L502.7,340.5 L505.1,340.5 L507.4,340.6 L509.8,340.6 L512.2,340.7 L514.6,340.7 L517,340.7 L519.3,340.8 L521.7,340.8 L524.1,340.8 L526.5,340.8 L528.8,340.8 L531.2,340.9 L533.6,340.9 L536,340.9 L538.4,340.9 L540.7,340.9 L543.1,340.9 L545.5,340.9 L547.9,340.9 L550.2,340.9 L552.6,340.9 L555,340.9 L557.4,341 L559.8,341 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(127,255,0)" stroke-width="1"><path d="M84.2,341 L86.58,341 L88.96,341 L91.33,341 L93.71,341 L96.09,341 L98.47,341 L100.8,341 L103.2,341 L105.6,341 L108,341 L110.4,341 L112.7,341 L115.1,341 L117.5,341 L119.9,341 L122.2,341 L124.6,341 L127,341 L129.4,341 L131.8,341 L134.1,341 L136.5,341 L138.9,341 L141.3,341 L143.6,341 L146,341 L148.4,341 L150.8,341 L153.2,341 L155.5,341 L157.9,341 L160.3,341 L162.7,341 L165,341 L167.4,341 L169.8,341 L172.2,341 L174.6,341 L176.9,341 L179.3,341 L181.7,341 L184.1,341 L186.4,341 L188.8,341 L191.2,341 L193.6,341 L196,341 L198.3,341 L200.7,341 L203.1,341 L205.5,341 L207.8,341 L210.2,341 L212.6,341 L215,341 L217.4,341 L219.7,341 L222.1,341 L224.5,341 L226.9,341 L229.2,341 L231.6,341 L234,341 L236.4,341 L238.8,341 L241.1,341 L243.5,341 L245.9,341 L248.3,341 L250.6,341 L253,341 L255.4,341 L257.8,341 L260.2,341 L262.5,341 L264.9,341 L267.3,341 L269.7,341 L272,341 L274.4,341 L276.8,341 L279.2,341 L281.6,341 L283.9,341 L286.3,341 L288.7,341 L291.1,341 L293.4,341 L295.8,341 L298.2,341 L300.6,341 L303,341 L305.3,341 L307.7,341 L310.1,341 L312.5,341 L314.8,341 L317.2,341 L319.6,341 L322,341 L324.4,341 L326.7,341 L329.1,341 L331.5,341 L333.9,341 L336.2,341 L338.6,341 L341,341 L343.4,341 L345.8,341 L348.1,341 L350.5,341 L352.9,341 L355.3,341 L357.6,341 L360,341 L362.4,341 L364.8,341 L367.2,341 L369.5,341 L371.9,341 L374.3,341 L376.7,340.9 L379,340.8 L381.4,340.7 L383.8,340.4 L386.2,339.9 L388.6,339.1 L390.9,337.9 L393.3,336.2 L395.7,333.9 L398.1,330.9 L400.4,327.1 L402.8,322.6 L405.2,317.2 L407.6,311.2 L410,304.5 L412.3,297.4 L414.7,289.9 L417.1,282.4 L419.5,274.9 L421.8,267.6 L424.2,260.8 L426.6,254.5 L429,248.9 L431.4,244.1 L433.7,240.1 L436.1,237 L438.5,234.7 L440.9,233.3 L443.2,232.6 L445.6,232.8 L448,233.6 L450.4,235.1 L452.8,237.1 L455.1,239.6 L457.5,242.5 L459.9,245.7 L462.3,249.1 L464.6,252.8 L467,256.6 L469.4,260.5 L471.8,264.4 L474.2,268.3 L476.5,272.2 L478.9,276.1 L481.3,279.8 L483.7,283.4 L486,286.9 L488.4,290.3 L490.8,293.5 L493.2,296.6 L495.6,299.5 L497.9,302.3 L500.3,304.9 L502.7,307.4 L505.1,309.8 L507.4,312 L509.8,314 L512.2,315.9 L514.6,317.7 L517,319.4 L519.3,321 L521.7,322.4 L524.1,323.8 L526.5,325.1 L528.8,326.2 L531.2,327.3 L533.6,328.3 L536,329.3 L538.4,330.2 L540.7,331 L543.1,331.7 L545.5,332.4 L547.9,333 L550.2,333.6 L552.6,334.2 L555,334.7 L557.4,335.1 L559.8,335.6 " fill="none"/></g>
<g id="plotLines" stroke-width="2"><g clip-path="url(#plot_window)" stroke="rgb(0,0,139)" stroke-width="1"><path d="M84.2,335.7 L86.58,335.3 L88.96,334.8 L91.33,334.3 L93.71,333.8 L96.09,333.2 L98.47,332.6 L100.8,331.9 L103.2,331.2 L105.6,330.4 L108,329.6 L110.4,328.7 L112.7,327.7 L115.1,326.6 L117.5,325.5 L119.9,324.2 L122.2,322.9 L124.6,321.5 L127,319.9 L129.4,318.3 L131.8,316.6 L134.1,314.7 L136.5,312.7 L138.9,310.5 L141.3,308.2 L143.6,305.8 L146,303.3 L148.4,300.6 L150.8,297.7 L153.2,294.7 L155.5,291.5 L157.9,288.3 L160.3,284.8 L162.7,281.3 L165,277.7 L167.4,273.9 L169.8,270.1 L172.2,266.3 L174.6,262.5 L176.9,258.7 L179.3,255 L181.7,251.4 L184.1,248 L186.4,244.9 L188.8,242.1 L191.2,239.6 L193.6,237.7 L196,236.3 L198.3,235.5 L200.7,235.3 L203.1,235.9 L205.5,237.3 L207.8,239.5 L210.2,242.6 L212.6,246.5 L215,251.2 L217.4,256.7 L219.7,262.8 L222.1,269.4 L224.5,276.5 L226.9,283.8 L229.2,291.2 L231.6,298.4 L234,305.4 L236.4,311.9 L238.8,317.8 L241.1,323 L243.5,327.5 L245.9,331.1 L248.3,334.1 L250.6,336.3 L253,338 L255.4,339.1 L257.8,339.9 L260.2,340.4 L262.5,340.7 L264.9,340.8 L267.3,340.9 L269.7,341 L272,341 L274.4,341 L276.8,341 L279.2,341 L281.6,341 L283.9,341 L286.3,341 L288.7,341 L291.1,341 L293.4,341 L295.8,341 L298.2,341 L300.6,341 L303,341 L305.3,341 L307.7,341 L310.1,341 L312.5,341 L314.8,341 L317.2,341 L319.6,341 L322,341 L324.4,341 L326.7,341 L329.1,341 L331.5,341 L333.9,341 L336.2,341 L338.6,341 L341,341 L343.4,341 L345.8,341 L348.1,341 L350.5,341 L352.9,341 L355.3,341 L357.6,341 L360,341 L362.4,341 L364.8,341 L367.2,341 L369.5,341 L371.9,341 L374.3,341 L376.7,341 L379,341 L381.4,341 L383.8,341 L386.2,341 L388.6,341 L390.9,341 L393.3,341 L395.7,341 L398.1,341 L400.4,341 L402.8,341 L405.2,341 L407.6,341 L410,341 L412.3,341 L414.7,341 L417.1,341 L419.5,341 L421.8,341 L424.2,341 L426.6,341 L429,341 L431.4,341 L433.7,341 L436.1,341 L438.5,341 L440.9,341 L443.2,341 L445.6,341 L448,341 L450.4,341 L452.8,341 L455.1,341 L457.5,341 L459.9,341 L462.3,341 L464.6,341 L467,341 L469.4,341 L471.8,341 L474.2,341 L476.5,341 L478.9,341 L481.3,341 L483.7,341 L486,341 L488.4,341 L490.8,341 L493.2,341 L495.6,341 L497.9,341 L500.3,341 L502.7,341 L505.1,341 L507.4,341 L509.8,341 L512.2,341 L514.6,341 L517,341 L519.3,341 L521.7,341 L524.1,341 L526.5,341 L528.8,341 L531.2,341 L533.6,341 L536,341 L538.4,341 L540.7,341 L543.1,341 L545.5,341 L547.9,341 L550.2,341 L552.6,341 L555,341 L557.4,341 L559.8,341 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(139,0,0)" stroke-width="1"><path d="M84.2,341 L86.58,341 L88.96,341 L91.33,340.9 L93.71,340.9 L96.09,340.9 L98.47,340.9 L100.8,340.9 L103.2,340.9 L105.6,340.9 L108,340.9 L110.4,340.9 L112.7,340.9 L115.1,340.8 L117.5,340.8 L119.9,340.8 L122.2,340.8 L124.6,340.8 L127,340.7 L129.4,340.7 L131.8,340.7 L134.1,340.6 L136.5,340.6 L138.9,340.5 L141.3,340.5 L143.6,340.4 L146,340.3 L148.4,340.2 L150.8,340.1 L153.2,340 L155.5,339.9 L157.9,339.8 L160.3,339.6 L162.7,339.4 L165,339.2 L167.4,338.9 L169.8,338.7 L172.2,338.3 L174.6,338 L176.9,337.5 L179.3,337.1 L181.7,336.5 L184.1,335.9 L186.4,335.2 L188.8,334.3 L191.2,333.4 L193.6,332.3 L196,331 L198.3,329.6 L200.7,327.9 L203.1,326.1 L205.5,323.9 L207.8,321.5 L210.2,318.7 L212.6,315.5 L215,312 L217.4,307.9 L219.7,303.3 L222.1,298.2 L224.5,292.5 L226.9,286.1 L229.2,279.1 L231.6,271.4 L234,263 L236.4,254 L238.8,244.5 L241.1,234.4 L243.5,224.1 L245.9,213.7 L248.3,203.5 L250.6,193.9 L253,185.2 L255.4,178 L257.8,172.7 L260.2,169.8 L262.5,169.8 L264.9,172.9 L267.3,179.5 L269.7,189.3 L272,202.2 L274.4,217.6 L276.8,234.8 L279.2,252.7 L281.6,270.3 L283.9,286.8 L286.3,301.2 L288.7,313.2 L291.1,322.5 L293.4,329.4 L295.8,334.1 L298.2,337.1 L300.6,338.9 L303,340 L305.3,340.5 L307.7,340.8 L310.1,340.9 L312.5,341 L314.8,341 L317.2,341 L319.6,341 L322,341 L324.4,341 L326.7,341 L329.1,341 L331.5,341 L333.9,341 L336.2,341 L338.6,341 L341,341 L343.4,341 L345.8,341 L348.1,341 L350.5,341 L352.9,341 L355.3,341 L357.6,341 L360,341 L362.4,341 L364.8,341 L367.2,341 L369.5,341 L371.9,341 L374.3,341 L376.7,341 L379,341 L381.4,341 L383.8,341 L386.2,341 L388.6,341 L390.9,341 L393.3,341 L395.7,341 L398.1,341 L400.4,341 L402.8,341 L405.2,341 L407.6,341 L410,341 L412.3,341 L414.7,341 L417.1,341 L419.5,341 L421.8,341 L424.2,341 L426.6,341 L429,341 L431.4,341 L433.7,341 L436.1,341 L438.5,341 L440.9,341 L443.2,341 L445.6,341 L448,341 L450.4,341 L452.8,341 L455.1,341 L457.5,341 L459.9,341 L462.3,341 L464.6,341 L467,341 L469.4,341 L471.8,341 L474.2,341 L476.5,341 L478.9,341 L481.3,341 L483.7,341 L486,341 L488.4,341 L490.8,341 L493.2,341 L495.6,341 L497.9,341 L500.3,341 L502.7,341 L505.1,341 L507.4,341 L509.8,341 L512.2,341 L514.6,341 L517,341 L519.3,341 L521.7,341 L524.1,341 L526.5,341 L528.8,341 L531.2,341 L533.6,341 L536,341 L538.4,341 L540.7,341 L543.1,341 L545.5,341 L547.9,341 L550.2,341 L552.6,341 L555,341 L557.4,341 L559.8,341 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(0,100,0)" stroke-width="1"><path d="M84.2,341 L86.58,341 L88.96,341 L91.33,341 L93.71,341 L96.09,341 L98.47,341 L100.8,341 L103.2,341 L105.6,341 L108,341 L110.4,341 L112.7,341 L115.1,341 L117.5,341 L119.9,341 L122.2,341 L124.6,341 L127,341 L129.4,341 L131.8,341 L134.1,341 L136.5,341 L138.9,341 L141.3,341 L143.6,341 L146,341 L148.4,341 L150.8,341 L153.2,341 L155.5,341 L157.9,341 L160.3,341 L162.7,341 L165,341 L167.4,341 L169.8,341 L172.2,341 L174.6,341 L176.9,341 L179.3,341 L181.7,341 L184.1,341 L186.4,341 L188.8,341 L191.2,341 L193.6,341 L196,341 L198.3,341 L200.7,341 L203.1,341 L205.5,341 L207.8,341 L210.2,341 L212.6,341 L215,341 L217.4,341 L219.7,341 L222.1,341 L224.5,341 L226.9,341 L229.2,341 L231.6,341 L234,341 L236.4,341 L238.8,341 L241.1,341 L243.5,341 L245.9,340.9 L248.3,340.9 L250.6,340.9 L253,340.9 L255.4,340.8 L257.8,340.7 L260.2,340.7 L262.5,340.5 L264.9,340.4 L267.3,340.1 L269.7,339.8 L272,339.4 L274.4,338.8 L276.8,338 L279.2,336.9 L281.6,335.3 L283.9,333.1 L286.3,330.2 L288.7,326.1 L291.1,320.6 L293.4,313.3 L295.8,303.7 L298.2,291.3 L300.6,275.7 L303,256.6 L305.3,234.1 L307.7,208.6 L310.1,181.3 L312.5,153.9 L314.8,128.7 L317.2,108.2 L319.6,94.74 L322,90.07 L324.4,94.74 L326.7,108.2 L329.1,128.7 L331.5,153.9 L333.9,181.3 L336.2,208.6 L338.6,234.1 L341,256.6 L343.4,275.7 L345.8,291.3 L348.1,303.7 L350.5,313.3 L352.9,320.6 L355.3,326.1 L357.6,330.2 L360,333.1 L362.4,335.3 L364.8,336.9 L367.2,338 L369.5,338.8 L371.9,339.4 L374.3,339.8 L376.7,340.1 L379,340.4 L381.4,340.5 L383.8,340.7 L386.2,340.7 L388.6,340.8 L390.9,340.9 L393.3,340.9 L395.7,340.9 L398.1,340.9 L400.4,341 L402.8,341 L405.2,341 L407.6,341 L410,341 L412.3,341 L414.7,341 L417.1,341 L419.5,341 L421.8,341 L424.2,341 L426.6,341 L429,341 L431.4,341 L433.7,341 L436.1,341 L438.5,341 L440.9,341 L443.2,341 L445.6,341 L448,341 L450.4,341 L452.8,341 L455.1,341 L457.5,341 L459.9,341 L462.3,341 L464.6,341 L467,341 L469.4,341 L471.8,341 L474.2,341 L476.5,341 L478.9,341 L481.3,341 L483.7,341 L486,341 L488.4,341 L490.8,341 L493.2,341 L495.6,341 L497.9,341 L500.3,341 L502.7,341 L505.1,341 L507.4,341 L509.8,341 L512.2,341 L514.6,341 L517,341 L519.3,341 L521.7,341 L524.1,341 L526.5,341 L528.8,341 L531.2,341 L533.6,341 L536,341 L538.4,341 L540.7,341 L543.1,341 L545.5,341 L547.9,341 L550.2,341 L552.6,341 L555,341 L557.4,341 L559.8,341 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(255,140,0)" stroke-width="1"><path d="M84.2,341 L86.58,341 L88.96,341 L91.33,341 L93.71,341 L96.09,341 L98.47,341 L100.8,341 L103.2,341 L105.6,341 L108,341 L110.4,341 L112.7,341 L115.1,341 L117.5,341 L119.9,341 L122.2,341 L124.6,341 L127,341 L129.4,341 L131.8,341 L134.1,341 L136.5,341 L138.9,341 L141.3,341 L143.6,341 L146,341 L148.4,341 L150.8,341 L153.2,341 L155.5,341 L157.9,341 L160.3,341 L162.7,341 L165,341 L167.4,341 L169.8,341 L172.2,341 L174.6,341 L176.9,341 L179.3,341 L181.7,341 L184.1,341 L186.4,341 L188.8,341 L191.2,341 L193.6,341 L196,341 L198.3,341 L200.7,341 L203.1,341 L205.5,341 L207.8,341 L210.2,341 L212.6,341 L215,341 L217.4,341 L219.7,341 L222.1,341 L224.5,341 L226.9,341 L229.2,341 L231.6,341 L234,341 L236.4,341 L238.8,341 L241.1,341 L243.5,341 L245.9,341 L248.3,341 L250.6,341 L253,341 L255.4,341 L257.8,341 L260.2,341 L262.5,341 L264.9,341 L267.3,341 L269.7,341 L272,341 L274.4,341 L276.8,341 L279.2,341 L281.6,341 L283.9,341 L286.3,341 L288.7,341 L291.1,341 L293.4,341 L295.8,341 L298.2,341 L300.6,341 L303,341 L305.3,341 L307.7,341 L310.1,341 L312.5,341 L314.8,341 L317.2,341 L319.6,341 L322,341 L324.4,341 L326.7,341 L329.1,341 L331.5,341 L333.9,340.9 L336.2,340.8 L338.6,340.5 L341,340 L343.4,338.9 L345.8,337.1 L348.1,334.1 L350.5,329.4 L352.9,322.5 L355.3,313.2 L357.6,301.2 L360,286.8 L362.4,270.3 L364.8,252.7 L367.2,234.8 L369.5,217.6 L371.9,202.2 L374.3,189.3 L376.7,179.5 L379,172.9 L381.4,169.8 L383.8,169.8 L386.2,172.7 L388.6,178 L390.9,185.2 L393.3,193.9 L395.7,203.5 L398.1,213.7 L400.4,224.1 L402.8,234.4 L405.2,244.5 L407.6,254 L410,263 L412.3,271.4 L414.7,279.1 L417.1,286.1 L419.5,292.5 L421.8,298.2 L424.2,303.3 L426.6,307.9 L429,312 L431.4,315.5 L433.7,318.7 L436.1,321.5 L438.5,323.9 L440.9,326.1 L443.2,327.9 L445.6,329.6 L448,331 L450.4,332.3 L452.8,333.4 L455.1,334.3 L457.5,335.2 L459.9,335.9 L462.3,336.5 L464.6,337.1 L467,337.5 L469.4,338 L471.8,338.3 L474.2,338.7 L476.5,338.9 L478.9,339.2 L481.3,339.4 L483.7,339.6 L486,339.8 L488.4,339.9 L490.8,340 L493.2,340.1 L495.6,340.2 L497.9,340.3 L500.3,340.4 L502.7,340.5 L505.1,340.5 L507.4,340.6 L509.8,340.6 L512.2,340.7 L514.6,340.7 L517,340.7 L519.3,340.8 L521.7,340.8 L524.1,340.8 L526.5,340.8 L528.8,340.8 L531.2,340.9 L533.6,340.9 L536,340.9 L538.4,340.9 L540.7,340.9 L543.1,340.9 L545.5,340.9 L547.9,340.9 L550.2,340.9 L552.6,340.9 L555,341 L557.4,341 L559.8,341 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(127,255,0)" stroke-width="1"><path d="M84.2,341 L86.58,341 L88.96,341 L91.33,341 L93.71,341 L96.09,341 L98.47,341 L100.8,341 L103.2,341 L105.6,341 L108,341 L110.4,341 L112.7,341 L115.1,341 L117.5,341 L119.9,341 L122.2,341 L124.6,341 L127,341 L129.4,341 L131.8,341 L134.1,341 L136.5,341 L138.9,341 L141.3,341 L143.6,341 L146,341 L148.4,341 L150.8,341 L153.2,341 L155.5,341 L157.9,341 L160.3,341 L162.7,341 L165,341 L167.4,341 L169.8,341 L172.2,341 L174.6,341 L176.9,341 L179.3,341 L181.7,341 L184.1,341 L186.4,341 L188.8,341 L191.2,341 L193.6,341 L196,341 L198.3,341 L200.7,341 L203.1,341 L205.5,341 L207.8,341 L210.2,341 L212.6,341 L215,341 L217.4,341 L219.7,341 L222.1,341 L224.5,341 L226.9,341 L229.2,341 L231.6,341 L234,341 L236.4,341 L238.8,341 L241.1,341 L243.5,341 L245.9,341 L248.3,341 L250.6,341 L253,341 L255.4,341 L257.8,341 L260.2,341 L262.5,341 L264.9,341 L267.3,341 L269.7,341 L272,341 L274.4,341 L276.8,341 L279.2,341 L281.6,341 L283.9,341 L286.3,341 L288.7,341 L291.1,341 L293.4,341 L295.8,341 L298.2,341 L300.6,341 L303,341 L305.3,341 L307.7,341 L310.1,341 L312.5,341 L314.8,341 L317.2,341 L319.6,341 L322,341 L324.4,341 L326.7,341 L329.1,341 L331.5,341 L333.9,341 L336.2,341 L338.6,341 L341,341 L343.4,341 L345.8,341 L348.1,341 L350.5,341 L352.9,341 L355.3,341 L357.6,341 L360,341 L362.4,341 L364.8,341 L367.2,341 L369.5,341 L371.9,341 L374.3,341 L376.7,340.9 L379,340.8 L381.4,340.7 L383.8,340.4 L386.2,339.9 L388.6,339.1 L390.9,338 L393.3,336.3 L395.7,334.1 L398.1,331.1 L400.4,327.5 L402.8,323 L405.2,317.8 L407.6,311.9 L410,305.4 L412.3,298.4 L414.7,291.2 L417.1,283.8 L419.5,276.5 L421.8,269.4 L424.2,262.8 L426.6,256.7 L429,251.2 L431.4,246.5 L433.7,242.6 L436.1,239.5 L438.5,237.3 L440.9,235.9 L443.2,235.3 L445.6,235.5 L448,236.3 L450.4,237.7 L452.8,239.6 L455.1,242.1 L457.5,244.9 L459.9,248 L462.3,251.4 L464.6,255 L467,258.7 L469.4,262.5 L471.8,266.3 L474.2,270.1 L476.5,273.9 L478.9,277.7 L481.3,281.3 L483.7,284.8 L486,288.3 L488.4,291.5 L490.8,294.7 L493.2,297.7 L495.6,300.6 L497.9,303.3 L500.3,305.8 L502.7,308.2 L505.1,310.5 L507.4,312.7 L509.8,314.7 L512.2,316.6 L514.6,318.3 L517,319.9 L519.3,321.5 L521.7,322.9 L524.1,324.2 L526.5,325.5 L528.8,326.6 L531.2,327.7 L533.6,328.7 L536,329.6 L538.4,330.4 L540.7,331.2 L543.1,331.9 L545.5,332.6 L547.9,333.2 L550.2,333.8 L552.6,334.3 L555,334.8 L557.4,335.3 L559.8,335.7 " fill="none"/></g>
<g clip-path="url(#plot_window)" stroke="rgb(0,0,139)" stroke-width="1"><path d="M84.2,341 L86.58,341 L88.96,341 L91.33,341 L93.71,341 L96.09,341 L98.47,341 L100.8,341 L103.2,341 L105.6,341 L108,341 L110.4,341 L112.7,341 L115.1,341 L117.5,341 L119.9,341 L122.2,341 L124.6,341 L127,341 L129.4,341 L131.8,341 L134.1,341 L136.5,341 L138.9,341 L141.3,341 L143.6,341 L146,341 L148.4,341 L150.8,341 L153.2,341 L155.5,341 L157.9,341 L160.3,341 L162.7,341 L165,341 L167.4,341 L169.8,341 L172.2,341 L174.6,341 L176.9,341 L179.3,341 L181.7,341 L184.1,341 L186.4,341 L188.8,341 L191.2,341 L193.6,341 L196,341 L198.3,341 L200.7,341 L203.1,341 L205.5,341 L207.8,341 L210.2,341 L212.6,341 L215,341 L217.4,341 L219.7,341 L222.1,341 L224.5,341 L226.9,341 L229.2,341 L231.6,341 L234,341 L236.4,341 L238.8,341 L241.1,341 L243.5,341 L245.9,341 L248.3,341 L250.6,341 L253,341 L255.4,341 L257.8,341 L260.2,341 L262.5,341 L264.9,341 L267.3,341 L269.7,341 L272,341 L274.4,341 L276.8,341 L279.2,341 L281.6,341 L283.9,341 L286.3,341 L288.7,341 L291.1,341 L293.4,341 L295.8,341 L298.2,341 L300.6,341 L303,341 L305.3,341 L307.7,341 L310.1,341 L312.5,341 L314.8,341 L317.2,341 L319.6,341 L322,341 L324.4,341 L326.7,341 L329.1,341 L331.5,341 L333.9,341 L336.2,341 L338.6,341 L341,341 L343.4,341 L345.8,341 L348.1,341 L350.5,341 L352.9,341 L355.3,341 L357.6,341 L360,341 L362.4,341 L364.8,341 L367.2,341 L369.5,341 L371.9,341 L374.3,341 L376.7,341 L379,341 L381.4,341 L383.8,341 L386.2,341 L388.6,341 L390.9,341 L393.3,341 L395.7,341 L398.1,341 L400.4,341 L402.8,341 L405.2,341 L407.6,341 L410,341 L412.3,341 L414.7,341 L417.1,341 L419.5,341 L421.8,341 L424.2,341 L426.6,341 L429,341 L431.4,341 L433.7,341 L436.1,341 L438.5,341 L440.9,341 L443.2,341 L445.6,341 L448,341 L450.4,341 L452.8,341 L455.1,341 L457.5,341 L459.9,341 L462.3,340.9 L464.6,340.9 L467,340.7 L469.4,340.5 L471.8,340 L474.2,339.2 L476.5,337.9 L478.9,335.7 L481.3,332.3 L483.7,327.1 L486,319.6 L488.4,309.3 L490.8,295.5 L493.2,277.8 L495.6,256.3 L497.9,231.3 L500.3,203.7 L502.7,174.9 L505.1,146.9 L507.4,121.8 L509.8,101.7 L512.2,88.6 L514.6,83.74 L517,87.62 L519.3,99.84 L521.7,119.2 L524.1,143.9 L526.5,171.7 L528.8,200.5 L531.2,228.3 L533.6,253.7 L536,275.6 L538.4,293.7 L540.7,307.9 L543.1,318.6 L545.5,326.4 L547.9,331.8 L550.2,335.4 L552.6,337.7 L555,339.1 L557.4,340 L559.8,340.4 " fill="none"/></g>
</g>
<g id="plotPoints" clip-path="url(#plot_window)"></g>
<g id="legendBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="1"><rect x="573.8" y="58" width="150.2" height="165"/><rect x="573.8" y="58" width="150.2" height="165"/></g>
<g id="legendBackground" stroke="rgb(119,136,153)" fill="rgb(255,255,255)" stroke-width="1"><rect x="573.8" y="58" width="150.2" height="195"/><rect x="573.8" y="58" width="150.2" height="195"/></g>
<g id="legendPoints"><g stroke="rgb(0,0,139)" fill="rgb(255,255,255)" stroke-width="1"><line x1="588.8" y1="88" x2="603.8" y2="88"/></g>
<g stroke="rgb(139,0,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="588.8" y1="118" x2="603.8" y2="118"/></g>
<g stroke="rgb(0,100,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="588.8" y1="148" x2="603.8" y2="148"/></g>
<g stroke="rgb(255,140,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="588.8" y1="178" x2="603.8" y2="178"/></g>
<g stroke="rgb(127,255,0)" fill="rgb(255,255,255)" stroke-width="1"><line x1="588.8" y1="208" x2="603.8" y2="208"/></g>
<g stroke="rgb(0,0,139)" fill="rgb(255,255,255)" stroke-width="1"><line x1="588.8" y1="238" x2="603.8" y2="238"/></g>
</g>
<g id="legendText">
<text x="611.3" y="88" font-size="15" font-family="Verdana">v=10, &#x3B4;=-10</text>
<text x="611.3" y="118" font-size="15" font-family="Verdana">v=10, &#x3B4;=-5</text>
<text x="611.3" y="148" font-size="15" font-family="Verdana">v=10, &#x3B4;=0</text>
<text x="611.3" y="178" font-size="15" font-family="Verdana">v=10, &#x3B4;=5</text>
<text x="611.3" y="208" font-size="15" font-family="Verdana">v=10, &#x3B4;=10</text></g>
<text x="611.3" y="208" font-size="15" font-family="Verdana">v=10, &#x3B4;=10</text>
<text x="611.3" y="238" font-size="15" font-family="Verdana">v=inf, &#x3B4;=15</text></g>
<g id="title">
<text x="375" y="40" text-anchor="middle" font-size="20" font-family="Verdana">Non Central T PDF</text></g>
<g id="plotXValues"></g>
Side by Side Swipe Overlay

Before

Width:  |  Height:  |  Size: 17 KiB

After

Width:  |  Height:  |  Size: 20 KiB

130
doc/sf_and_dist/graphs/sf_graphs.cpp
View File

@@ -248,7 +248,7 @@ int main()
double (*f2i)(int, double);
double (*f3)(double, double, double);
double (*f4)(double, double, double, double);
f = boost::math::zeta;
plot.add(f, 1 + find_end_point(f, 0.1, 40.0, false, 1.0), 10, "");
plot.add(f, -20, 1 + find_end_point(f, -0.1, -40.0, false, 1.0), "");
@@ -568,6 +568,134 @@ int main()
-0.5, 4, true, 1) + 1, "n=0.75 &#x3C6;=&#x3C0;/2");
plot.plot("Elliptic Of the Third Kind", "ellint_3.svg", "k", "ellint_3(k, n, phi)");
f2 = boost::math::jacobi_sn;
plot.clear();
plot.add(boost::bind(f2, 0, _1), -10, 10, "k=0");
plot.add(boost::bind(f2, 0.5, _1), -10, 10, "k=0.5");
plot.add(boost::bind(f2, 0.75, _1), -10, 10, "k=0.75");
plot.add(boost::bind(f2, 0.95, _1), -10, 10, "k=0.95");
plot.add(boost::bind(f2, 1, _1), -10, 10, "k=1");
plot.plot("Jacobi Elliptic sn", "jacobi_sn.svg", "k", "jacobi_sn(k, u)");
f2 = boost::math::jacobi_cn;
plot.clear();
plot.add(boost::bind(f2, 0, _1), -10, 10, "k=0");
plot.add(boost::bind(f2, 0.5, _1), -10, 10, "k=0.5");
plot.add(boost::bind(f2, 0.75, _1), -10, 10, "k=0.75");
plot.add(boost::bind(f2, 0.95, _1), -10, 10, "k=0.95");
plot.add(boost::bind(f2, 1, _1), -10, 10, "k=1");
plot.plot("Jacobi Elliptic cn", "jacobi_cn.svg", "k", "jacobi_cn(k, u)");
f2 = boost::math::jacobi_dn;
plot.clear();
plot.add(boost::bind(f2, 0, _1), -10, 10, "k=0");
plot.add(boost::bind(f2, 0.5, _1), -10, 10, "k=0.5");
plot.add(boost::bind(f2, 0.75, _1), -10, 10, "k=0.75");
plot.add(boost::bind(f2, 0.95, _1), -10, 10, "k=0.95");
plot.add(boost::bind(f2, 1, _1), -10, 10, "k=1");
plot.plot("Jacobi Elliptic dn", "jacobi_dn.svg", "k", "jacobi_dn(k, u)");
f2 = boost::math::jacobi_cd;
plot.clear();
plot.add(boost::bind(f2, 0, _1), -10, 10, "k=0");
plot.add(boost::bind(f2, 0.5, _1), -10, 10, "k=0.5");
plot.add(boost::bind(f2, 0.75, _1), -10, 10, "k=0.75");
plot.add(boost::bind(f2, 0.95, _1), -10, 10, "k=0.95");
plot.add(boost::bind(f2, 1, _1), -10, 10, "k=1");
plot.plot("Jacobi Elliptic cd", "jacobi_cd.svg", "k", "jacobi_cd(k, u)");
f2 = boost::math::jacobi_cs;
plot.clear();
plot.add(boost::bind(f2, 0, _1), 0.1, 3, "k=0");
plot.add(boost::bind(f2, 0.5, _1), 0.1, 3, "k=0.5");
plot.add(boost::bind(f2, 0.75, _1), 0.1, 3, "k=0.75");
plot.add(boost::bind(f2, 0.95, _1), 0.1, 3, "k=0.95");
plot.add(boost::bind(f2, 1, _1), 0.1, 3, "k=1");
plot.plot("Jacobi Elliptic cs", "jacobi_cs.svg", "k", "jacobi_cs(k, u)");
f2 = boost::math::jacobi_dc;
plot.clear();
plot.add(boost::bind(f2, 0, _1), -10, 10, "k=0");
plot.add(boost::bind(f2, 0.5, _1), -10, 10, "k=0.5");
plot.add(boost::bind(f2, 0.75, _1), -10, 10, "k=0.75");
plot.add(boost::bind(f2, 0.95, _1), -10, 10, "k=0.95");
plot.add(boost::bind(f2, 1, _1), -10, 10, "k=1");
plot.plot("Jacobi Elliptic dc", "jacobi_dc.svg", "k", "jacobi_dc(k, u)");
f2 = boost::math::jacobi_ds;
plot.clear();
plot.add(boost::bind(f2, 0, _1), 0.1, 3, "k=0");
plot.add(boost::bind(f2, 0.5, _1), 0.1, 3, "k=0.5");
plot.add(boost::bind(f2, 0.75, _1), 0.1, 3, "k=0.75");
plot.add(boost::bind(f2, 0.95, _1), 0.1, 3, "k=0.95");
plot.add(boost::bind(f2, 1, _1), 0.1, 3, "k=1");
plot.plot("Jacobi Elliptic ds", "jacobi_ds.svg", "k", "jacobi_ds(k, u)");
f2 = boost::math::jacobi_nc;
plot.clear();
plot.add(boost::bind(f2, 0, _1), -5, 5, "k=0");
plot.add(boost::bind(f2, 0.5, _1), -5, 5, "k=0.5");
plot.add(boost::bind(f2, 0.75, _1), -5, 5, "k=0.75");
plot.add(boost::bind(f2, 0.95, _1), -5, 5, "k=0.95");
plot.add(boost::bind(f2, 1, _1), -5, 5, "k=1");
plot.plot("Jacobi Elliptic nc", "jacobi_nc.svg", "k", "jacobi_nc(k, u)");
f2 = boost::math::jacobi_ns;
plot.clear();
plot.add(boost::bind(f2, 0, _1), 0.1, 4, "k=0");
plot.add(boost::bind(f2, 0.5, _1), 0.1, 4, "k=0.5");
plot.add(boost::bind(f2, 0.75, _1), 0.1, 4, "k=0.75");
plot.add(boost::bind(f2, 0.95, _1), 0.1, 4, "k=0.95");
plot.add(boost::bind(f2, 1, _1), 0.1, 4, "k=1");
plot.plot("Jacobi Elliptic ns", "jacobi_ns.svg", "k", "jacobi_ns(k, u)");
f2 = boost::math::jacobi_nd;
plot.clear();
plot.add(boost::bind(f2, 0, _1), -2, 2, "k=0");
plot.add(boost::bind(f2, 0.5, _1), -2, 2, "k=0.5");
plot.add(boost::bind(f2, 0.75, _1), -2, 2, "k=0.75");
plot.add(boost::bind(f2, 0.95, _1), -2, 2, "k=0.95");
plot.add(boost::bind(f2, 1, _1), -2, 2, "k=1");
plot.plot("Jacobi Elliptic nd", "jacobi_nd.svg", "k", "jacobi_nd(k, u)");
f2 = boost::math::jacobi_sc;
plot.clear();
plot.add(boost::bind(f2, 0, _1), -5, 5, "k=0");
plot.add(boost::bind(f2, 0.5, _1), -5, 5, "k=0.5");
plot.add(boost::bind(f2, 0.75, _1), -5, 5, "k=0.75");
plot.add(boost::bind(f2, 0.95, _1), -5, 5, "k=0.95");
plot.add(boost::bind(f2, 1, _1), -5, 5, "k=1");
plot.plot("Jacobi Elliptic sc", "jacobi_sc.svg", "k", "jacobi_sc(k, u)");
f2 = boost::math::jacobi_sd;
plot.clear();
plot.add(boost::bind(f2, 0, _1), -2.5, 2.5, "k=0");
plot.add(boost::bind(f2, 0.5, _1), -2.5, 2.5, "k=0.5");
plot.add(boost::bind(f2, 0.75, _1), -2.5, 2.5, "k=0.75");
plot.add(boost::bind(f2, 0.95, _1), -2.5, 2.5, "k=0.95");
plot.add(boost::bind(f2, 1, _1), -2.5, 2.5, "k=1");
plot.plot("Jacobi Elliptic sd", "jacobi_sd.svg", "k", "jacobi_sd(k, u)");
f = boost::math::airy_ai;
plot.clear();
plot.add(f, -20, 20, "");
plot.plot("Ai", "airy_ai.svg", "z", "airy_ai(z)");
f = boost::math::airy_bi;
plot.clear();
plot.add(f, -20, 3, "");
plot.plot("Bi", "airy_bi.svg", "z", "airy_bi(z)");
f = boost::math::airy_ai_prime;
plot.clear();
plot.add(f, -20, 20, "");
plot.plot("Ai'", "airy_aip.svg", "z", "airy_ai_prime(z)");
f = boost::math::airy_bi_prime;
plot.clear();
plot.add(f, -20, 3, "");
plot.plot("Bi'", "airy_bip.svg", "z", "airy_bi_prime(z)");
return 0;
}

47
doc/sf_and_dist/html/index.html
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Math Toolkit</title>
<link rel="stylesheet" href="../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
<link rel="home" href="index.html" title="Math Toolkit">
<link rel="next" href="math_toolkit/main_overview.html" title="Overview">
</head>
@@ -52,8 +52,9 @@
<span class="firstname">Benjamin</span> <span class="surname">Sobotta</span>
</h3></div>
</div></div>
<div><p class="copyright">Copyright &#169; 2006-2010 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang Zhang, Bruno
Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin Sobotta</p></div>
<div><p class="copyright">Copyright &#169; 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
Zhang, Bruno Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin
Sobotta</p></div>
<div><div class="legalnotice">
<a name="math_toolkit.legal"></a><p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
@@ -294,6 +295,13 @@
<dt><span class="section"><a href="math_toolkit/special/hankel/sph_hankel.html">Spherical Hankel
Functions</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="math_toolkit/special/airy.html">Airy Functions</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="math_toolkit/special/airy/ai.html">Airy Ai Function</a></span></dt>
<dt><span class="section"><a href="math_toolkit/special/airy/bi.html">Airy Bi Function</a></span></dt>
<dt><span class="section"><a href="math_toolkit/special/airy/aip.html">Airy Ai' Function</a></span></dt>
<dt><span class="section"><a href="math_toolkit/special/airy/bip.html">Airy Bi' Function</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="math_toolkit/special/ellint.html">Elliptic Integrals</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="math_toolkit/special/ellint/ellint_intro.html">Elliptic
@@ -307,6 +315,37 @@
<dt><span class="section"><a href="math_toolkit/special/ellint/ellint_3.html">Elliptic Integrals
of the Third Kind - Legendre Form</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="math_toolkit/special/jacobi.html">Jacobi Elliptic Functions</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="math_toolkit/special/jacobi/jac_over.html">Overvew of the
Jacobi Elliptic Functions</a></span></dt>
<dt><span class="section"><a href="math_toolkit/special/jacobi/jacobi_elliptic.html">Jacobi
Elliptic SN, CN and DN</a></span></dt>
<dt><span class="section"><a href="math_toolkit/special/jacobi/jacobi_cd.html">Jacobi Elliptic
Function cd</a></span></dt>
<dt><span class="section"><a href="math_toolkit/special/jacobi/jacobi_cn.html">Jacobi Elliptic
Function cn</a></span></dt>
<dt><span class="section"><a href="math_toolkit/special/jacobi/jacobi_cs.html">Jacobi Elliptic
Function cs</a></span></dt>
<dt><span class="section"><a href="math_toolkit/special/jacobi/jacobi_dc.html">Jacobi Elliptic
Function dc</a></span></dt>
<dt><span class="section"><a href="math_toolkit/special/jacobi/jacobi_dn.html">Jacobi Elliptic
Function dn</a></span></dt>
<dt><span class="section"><a href="math_toolkit/special/jacobi/jacobi_ds.html">Jacobi Elliptic
Function ds</a></span></dt>
<dt><span class="section"><a href="math_toolkit/special/jacobi/jacobi_nc.html">Jacobi Elliptic
Function nc</a></span></dt>
<dt><span class="section"><a href="math_toolkit/special/jacobi/jacobi_nd.html">Jacobi Elliptic
Function nd</a></span></dt>
<dt><span class="section"><a href="math_toolkit/special/jacobi/jacobi_ns.html">Jacobi Elliptic
Function ns</a></span></dt>
<dt><span class="section"><a href="math_toolkit/special/jacobi/jacobi_sc.html">Jacobi Elliptic
Function sc</a></span></dt>
<dt><span class="section"><a href="math_toolkit/special/jacobi/jacobi_sd.html">Jacobi Elliptic
Function sd</a></span></dt>
<dt><span class="section"><a href="math_toolkit/special/jacobi/jacobi_sn.html">Jacobi Elliptic
Function sn</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="math_toolkit/special/zetas.html">Zeta Functions</a></span></dt>
<dd><dl><dt><span class="section"><a href="math_toolkit/special/zetas/zeta.html">Riemann Zeta Function</a></span></dt></dl></dd>
<dt><span class="section"><a href="math_toolkit/special/expint.html">Exponential Integrals</a></span></dt>
@@ -541,7 +580,7 @@
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"><p><small>Last revised: May 14, 2012 at 18:06:46 GMT</small></p></td>
<td align="left"><p><small>Last revised: August 23, 2012 at 13:30:39 GMT</small></p></td>
<td align="right"><div class="copyright-footer"></div></td>
</tr></table>
<hr>

779
doc/sf_and_dist/html/index/s13.html
View File

File diff suppressed because it is too large Load Diff

135
doc/sf_and_dist/html/index/s14.html
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Class Index</title>
<link rel="stylesheet" href="../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
<link rel="home" href="../index.html" title="Math Toolkit">
<link rel="up" href="../index.html" title="Math Toolkit">
<link rel="prev" href="s13.html" title="Function Index">
@@ -22,216 +22,217 @@
<div class="spirit-nav">
<a accesskey="p" href="s13.html"><img src="../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="s15.html"><img src="../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section id1293285">
<div class="section id1406296">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="id1293285"></a>Class Index</h2></div></div></div>
<p><a class="link" href="s14.html#idx_id_24">B</a> <a class="link" href="s14.html#idx_id_25">C</a> <a class="link" href="s14.html#idx_id_26">D</a> <a class="link" href="s14.html#idx_id_27">E</a> <a class="link" href="s14.html#idx_id_28">F</a> <a class="link" href="s14.html#idx_id_29">G</a> <a class="link" href="s14.html#idx_id_30">H</a> <a class="link" href="s14.html#idx_id_31">I</a> <a class="link" href="s14.html#idx_id_33">L</a> <a class="link" href="s14.html#idx_id_34">M</a> <a class="link" href="s14.html#idx_id_35">N</a> <a class="link" href="s14.html#idx_id_37">P</a> <a class="link" href="s14.html#idx_id_39">R</a> <a class="link" href="s14.html#idx_id_40">S</a> <a class="link" href="s14.html#idx_id_41">T</a> <a class="link" href="s14.html#idx_id_42">U</a> <a class="link" href="s14.html#idx_id_44">W</a></p>
<div class="variablelist"><dl>
<a name="id1406296"></a>Class Index</h2></div></div></div>
<p><a class="link" href="s14.html#idx_id_25">B</a> <a class="link" href="s14.html#idx_id_26">C</a> <a class="link" href="s14.html#idx_id_27">D</a> <a class="link" href="s14.html#idx_id_28">E</a> <a class="link" href="s14.html#idx_id_29">F</a> <a class="link" href="s14.html#idx_id_30">G</a> <a class="link" href="s14.html#idx_id_31">H</a> <a class="link" href="s14.html#idx_id_32">I</a> <a class="link" href="s14.html#idx_id_35">L</a> <a class="link" href="s14.html#idx_id_36">M</a> <a class="link" href="s14.html#idx_id_37">N</a> <a class="link" href="s14.html#idx_id_39">P</a> <a class="link" href="s14.html#idx_id_41">R</a> <a class="link" href="s14.html#idx_id_42">S</a> <a class="link" href="s14.html#idx_id_43">T</a> <a class="link" href="s14.html#idx_id_44">U</a> <a class="link" href="s14.html#idx_id_46">W</a></p>
<div class="variablelist"><dl class="variablelist">
<dt>
<a name="idx_id_24"></a><span class="term">B</span>
<a name="idx_id_25"></a><span class="term">B</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact>
<dd><div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/bernoulli_dist.html" title="Bernoulli Distribution"><span class="index-entry-level-0">bernoulli_distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/beta_dist.html" title="Beta Distribution"><span class="index-entry-level-0">beta_distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/binomial_dist.html" title="Binomial Distribution"><span class="index-entry-level-0">binomial_distribution</span></a></p></li>
</ul></div></dd>
<dt>
<a name="idx_id_25"></a><span class="term">C</span>
<a name="idx_id_26"></a><span class="term">C</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact>
<dd><div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">cauchy_distribution</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution"><span class="index-entry-level-1">Cauchy-Lorentz Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution"><span class="index-entry-level-1">Cauchy-Lorentz Distribution</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/chi_squared_dist.html" title="Chi Squared Distribution"><span class="index-entry-level-0">chi_squared_distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">construction_traits</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/constants/tutorial/user_def.html" title="Use With User Defined Types"><span class="index-entry-level-1">Use With User Defined Types</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/constants/tutorial/user_def.html" title="Use With User Defined Types"><span class="index-entry-level-1">Use With User Defined Types</span></a></p></li></ul></div>
</li>
</ul></div></dd>
<dt>
<a name="idx_id_26"></a><span class="term">D</span>
<a name="idx_id_27"></a><span class="term">D</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none">
<dd><div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">default_policy</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
</li></ul></div></dd>
<dt>
<a name="idx_id_27"></a><span class="term">E</span>
<a name="idx_id_28"></a><span class="term">E</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact>
<dd><div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">eps_tolerance</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/toolkit/internals1/roots2.html" title="Root Finding Without Derivatives: Bisection, Bracket and TOMS748"><span class="index-entry-level-1">Root Finding Without Derivatives: Bisection, Bracket and TOMS748</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/toolkit/internals1/roots2.html" title="Root Finding Without Derivatives: Bisection, Bracket and TOMS748"><span class="index-entry-level-1">Root Finding Without Derivatives: Bisection, Bracket and TOMS748</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">equal_ceil</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/toolkit/internals1/roots2.html" title="Root Finding Without Derivatives: Bisection, Bracket and TOMS748"><span class="index-entry-level-1">Root Finding Without Derivatives: Bisection, Bracket and TOMS748</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/toolkit/internals1/roots2.html" title="Root Finding Without Derivatives: Bisection, Bracket and TOMS748"><span class="index-entry-level-1">Root Finding Without Derivatives: Bisection, Bracket and TOMS748</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">equal_floor</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/toolkit/internals1/roots2.html" title="Root Finding Without Derivatives: Bisection, Bracket and TOMS748"><span class="index-entry-level-1">Root Finding Without Derivatives: Bisection, Bracket and TOMS748</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/toolkit/internals1/roots2.html" title="Root Finding Without Derivatives: Bisection, Bracket and TOMS748"><span class="index-entry-level-1">Root Finding Without Derivatives: Bisection, Bracket and TOMS748</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">equal_nearest_integer</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/toolkit/internals1/roots2.html" title="Root Finding Without Derivatives: Bisection, Bracket and TOMS748"><span class="index-entry-level-1">Root Finding Without Derivatives: Bisection, Bracket and TOMS748</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/toolkit/internals1/roots2.html" title="Root Finding Without Derivatives: Bisection, Bracket and TOMS748"><span class="index-entry-level-1">Root Finding Without Derivatives: Bisection, Bracket and TOMS748</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/exp_dist.html" title="Exponential Distribution"><span class="index-entry-level-0">exponential_distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/extreme_dist.html" title="Extreme Value Distribution"><span class="index-entry-level-0">extreme_value_distribution</span></a></p></li>
</ul></div></dd>
<dt>
<a name="idx_id_28"></a><span class="term">F</span>
<a name="idx_id_29"></a><span class="term">F</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none">
<dd><div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">fisher_f_distribution</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/f_dist.html" title="F Distribution"><span class="index-entry-level-1">F Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/f_dist.html" title="F Distribution"><span class="index-entry-level-1">F Distribution</span></a></p></li></ul></div>
</li></ul></div></dd>
<dt>
<a name="idx_id_29"></a><span class="term">G</span>
<a name="idx_id_30"></a><span class="term">G</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact>
<dd><div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">gamma_distribution</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/gamma_dist.html" title="Gamma (and Erlang) Distribution"><span class="index-entry-level-1">Gamma (and Erlang) Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/gamma_dist.html" title="Gamma (and Erlang) Distribution"><span class="index-entry-level-1">Gamma (and Erlang) Distribution</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/geometric_dist.html" title="Geometric Distribution"><span class="index-entry-level-0">geometric_distribution</span></a></p></li>
</ul></div></dd>
<dt>
<a name="idx_id_30"></a><span class="term">H</span>
<a name="idx_id_31"></a><span class="term">H</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/hypergeometric_dist.html" title="Hypergeometric Distribution"><span class="index-entry-level-0">hypergeometric_distribution</span></a></p></li></ul></div></dd>
<dd><div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/hypergeometric_dist.html" title="Hypergeometric Distribution"><span class="index-entry-level-0">hypergeometric_distribution</span></a></p></li></ul></div></dd>
<dt>
<a name="idx_id_31"></a><span class="term">I</span>
<a name="idx_id_32"></a><span class="term">I</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact>
<dd><div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/inverse_chi_squared_dist.html" title="Inverse Chi Squared Distribution"><span class="index-entry-level-0">inverse_chi_squared_distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/inverse_gamma_dist.html" title="Inverse Gamma Distribution"><span class="index-entry-level-0">inverse_gamma_distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">inverse_gaussian_distribution</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/inverse_gaussian_dist.html" title="Inverse Gaussian (or Inverse Normal) Distribution"><span class="index-entry-level-1">Inverse Gaussian (or Inverse Normal) Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/inverse_gaussian_dist.html" title="Inverse Gaussian (or Inverse Normal) Distribution"><span class="index-entry-level-1">Inverse Gaussian (or Inverse Normal) Distribution</span></a></p></li></ul></div>
</li>
</ul></div></dd>
<dt>
<a name="idx_id_33"></a><span class="term">L</span>
<a name="idx_id_35"></a><span class="term">L</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact>
<dd><div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/laplace_dist.html" title="Laplace Distribution"><span class="index-entry-level-0">laplace_distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">log1p_series</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/toolkit/internals1/series_evaluation.html" title="Series Evaluation"><span class="index-entry-level-1">Series Evaluation</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/toolkit/internals1/series_evaluation.html" title="Series Evaluation"><span class="index-entry-level-1">Series Evaluation</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/logistic_dist.html" title="Logistic Distribution"><span class="index-entry-level-0">logistic_distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">lognormal_distribution</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/lognormal_dist.html" title="Log Normal Distribution"><span class="index-entry-level-1">Log Normal Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/lognormal_dist.html" title="Log Normal Distribution"><span class="index-entry-level-1">Log Normal Distribution</span></a></p></li></ul></div>
</li>
</ul></div></dd>
<dt>
<a name="idx_id_34"></a><span class="term">M</span>
<a name="idx_id_36"></a><span class="term">M</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none">
<dd><div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">max_factorial</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/special/factorials/sf_factorial.html" title="Factorial"><span class="index-entry-level-1">Factorial</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/special/factorials/sf_factorial.html" title="Factorial"><span class="index-entry-level-1">Factorial</span></a></p></li></ul></div>
</li></ul></div></dd>
<dt>
<a name="idx_id_35"></a><span class="term">N</span>
<a name="idx_id_37"></a><span class="term">N</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact>
<dd><div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/negative_binomial_dist.html" title="Negative Binomial Distribution"><span class="index-entry-level-0">negative_binomial_distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">nonfinite_num_get</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/utils/fp_facets.html" title="Facets for Floating-Point Infinities and NaNs"><span class="index-entry-level-1">Facets for Floating-Point Infinities and NaNs</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/utils/fp_facets.html" title="Facets for Floating-Point Infinities and NaNs"><span class="index-entry-level-1">Facets for Floating-Point Infinities and NaNs</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">nonfinite_num_put</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/utils/fp_facets.html" title="Facets for Floating-Point Infinities and NaNs"><span class="index-entry-level-1">Facets for Floating-Point Infinities and NaNs</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/utils/fp_facets.html" title="Facets for Floating-Point Infinities and NaNs"><span class="index-entry-level-1">Facets for Floating-Point Infinities and NaNs</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">non_central_beta_distribution</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/nc_beta_dist.html" title="Noncentral Beta Distribution"><span class="index-entry-level-1">Noncentral Beta Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/nc_beta_dist.html" title="Noncentral Beta Distribution"><span class="index-entry-level-1">Noncentral Beta Distribution</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">non_central_chi_squared_distribution</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/nc_chi_squared_dist.html" title="Noncentral Chi-Squared Distribution"><span class="index-entry-level-1">Noncentral Chi-Squared Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/nc_chi_squared_dist.html" title="Noncentral Chi-Squared Distribution"><span class="index-entry-level-1">Noncentral Chi-Squared Distribution</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">non_central_f_distribution</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/nc_f_dist.html" title="Noncentral F Distribution"><span class="index-entry-level-1">Noncentral F Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/nc_f_dist.html" title="Noncentral F Distribution"><span class="index-entry-level-1">Noncentral F Distribution</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">non_central_t_distribution</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/nc_t_dist.html" title="Noncentral T Distribution"><span class="index-entry-level-1">Noncentral T Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/nc_t_dist.html" title="Noncentral T Distribution"><span class="index-entry-level-1">Noncentral T Distribution</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">normalise</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">normal_distribution</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution"><span class="index-entry-level-1">Normal (Gaussian) Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution"><span class="index-entry-level-1">Normal (Gaussian) Distribution</span></a></p></li></ul></div>
</li>
</ul></div></dd>
<dt>
<a name="idx_id_37"></a><span class="term">P</span>
<a name="idx_id_39"></a><span class="term">P</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact>
<dd><div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/pareto.html" title="Pareto Distribution"><span class="index-entry-level-0">pareto_distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/poisson_dist.html" title="Poisson Distribution"><span class="index-entry-level-0">poisson_distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">promote_args</span></p>
<div class="index"><ul class="index" type="none" compact>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_tutorial/user_def_err_pol.html" title="Calling User Defined Error Handlers"><span class="index-entry-level-1">Calling User Defined Error Handlers</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_tutorial/namespace_policies.html" title="Setting Policies at Namespace or Translation Unit Scope"><span class="index-entry-level-1">Setting Policies at Namespace or Translation Unit Scope</span></a></p></li>
</ul></div>
</li>
</ul></div></dd>
<dt>
<a name="idx_id_39"></a><span class="term">R</span>
<a name="idx_id_41"></a><span class="term">R</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/rayleigh.html" title="Rayleigh Distribution"><span class="index-entry-level-0">rayleigh_distribution</span></a></p></li></ul></div></dd>
<dd><div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/rayleigh.html" title="Rayleigh Distribution"><span class="index-entry-level-0">rayleigh_distribution</span></a></p></li></ul></div></dd>
<dt>
<a name="idx_id_40"></a><span class="term">S</span>
<a name="idx_id_42"></a><span class="term">S</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact>
<dd><div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/skew_normal_dist.html" title="Skew Normal Distribution"><span class="index-entry-level-0">skew_normal_distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/students_t_dist.html" title="Students t Distribution"><span class="index-entry-level-0">students_t_distribution</span></a></p></li>
</ul></div></dd>
<dt>
<a name="idx_id_41"></a><span class="term">T</span>
<a name="idx_id_43"></a><span class="term">T</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact>
<dd><div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">test_data</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/toolkit/internals2/test_data.html" title="Graphing, Profiling, and Generating Test Data for Special Functions"><span class="index-entry-level-1">Graphing, Profiling, and Generating Test Data for Special Functions</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/toolkit/internals2/test_data.html" title="Graphing, Profiling, and Generating Test Data for Special Functions"><span class="index-entry-level-1">Graphing, Profiling, and Generating Test Data for Special Functions</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">triangular_distribution</span></p>
<div class="index"><ul class="index" type="none" compact>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/backgrounders/implementation.html" title="Additional Implementation Notes"><span class="index-entry-level-1">Additional Implementation Notes</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><span class="bold"><strong><a class="link" href="../math_toolkit/dist/dist_ref/dists/triangular_dist.html" title="Triangular Distribution"><span class="index-entry-level-1">Triangular Distribution</span></a></strong></span></p></li>
<li class="listitem" style="list-style-type: none"><p><span class="emphasis"><em><a class="link" href="../math_toolkit/dist/dist_ref/dists/triangular_dist.html" title="Triangular Distribution"><span class="index-entry-level-1">Triangular Distribution</span></a></em></span></p></li>
</ul></div>
</li>
</ul></div></dd>
<dt>
<a name="idx_id_42"></a><span class="term">U</span>
<a name="idx_id_44"></a><span class="term">U</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact>
<dd><div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/uniform_dist.html" title="Uniform Distribution"><span class="index-entry-level-0">uniform_distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">upper_incomplete_gamma_fract</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/toolkit/internals2/test_data.html" title="Graphing, Profiling, and Generating Test Data for Special Functions"><span class="index-entry-level-1">Graphing, Profiling, and Generating Test Data for Special Functions</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/toolkit/internals2/test_data.html" title="Graphing, Profiling, and Generating Test Data for Special Functions"><span class="index-entry-level-1">Graphing, Profiling, and Generating Test Data for Special Functions</span></a></p></li></ul></div>
</li>
</ul></div></dd>
<dt>
<a name="idx_id_44"></a><span class="term">W</span>
<a name="idx_id_46"></a><span class="term">W</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/weibull_dist.html" title="Weibull Distribution"><span class="index-entry-level-0">weibull_distribution</span></a></p></li></ul></div></dd>
<dd><div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/weibull_dist.html" title="Weibull Distribution"><span class="index-entry-level-0">weibull_distribution</span></a></p></li></ul></div></dd>
</dl></div>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang Zhang, Bruno
Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin Sobotta<p>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
Zhang, Bruno Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin
Sobotta<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>

183
doc/sf_and_dist/html/index/s15.html
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Typedef Index</title>
<link rel="stylesheet" href="../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
<link rel="home" href="../index.html" title="Math Toolkit">
<link rel="up" href="../index.html" title="Math Toolkit">
<link rel="prev" href="s14.html" title="Class Index">
@@ -22,42 +22,42 @@
<div class="spirit-nav">
<a accesskey="p" href="s14.html"><img src="../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="s16.html"><img src="../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section id1294226">
<div class="section id1409711">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="id1294226"></a>Typedef Index</h2></div></div></div>
<p><a class="link" href="s15.html#idx_id_46">A</a> <a class="link" href="s15.html#idx_id_47">B</a> <a class="link" href="s15.html#idx_id_48">C</a> <a class="link" href="s15.html#idx_id_49">D</a> <a class="link" href="s15.html#idx_id_50">E</a> <a class="link" href="s15.html#idx_id_51">F</a> <a class="link" href="s15.html#idx_id_52">G</a> <a class="link" href="s15.html#idx_id_53">H</a> <a class="link" href="s15.html#idx_id_54">I</a> <a class="link" href="s15.html#idx_id_56">L</a> <a class="link" href="s15.html#idx_id_58">N</a> <a class="link" href="s15.html#idx_id_59">O</a> <a class="link" href="s15.html#idx_id_60">P</a> <a class="link" href="s15.html#idx_id_62">R</a> <a class="link" href="s15.html#idx_id_63">S</a> <a class="link" href="s15.html#idx_id_64">T</a> <a class="link" href="s15.html#idx_id_65">U</a> <a class="link" href="s15.html#idx_id_66">V</a> <a class="link" href="s15.html#idx_id_67">W</a></p>
<div class="variablelist"><dl>
<a name="id1409711"></a>Typedef Index</h2></div></div></div>
<p><a class="link" href="s15.html#idx_id_48">A</a> <a class="link" href="s15.html#idx_id_49">B</a> <a class="link" href="s15.html#idx_id_50">C</a> <a class="link" href="s15.html#idx_id_51">D</a> <a class="link" href="s15.html#idx_id_52">E</a> <a class="link" href="s15.html#idx_id_53">F</a> <a class="link" href="s15.html#idx_id_54">G</a> <a class="link" href="s15.html#idx_id_55">H</a> <a class="link" href="s15.html#idx_id_56">I</a> <a class="link" href="s15.html#idx_id_59">L</a> <a class="link" href="s15.html#idx_id_61">N</a> <a class="link" href="s15.html#idx_id_62">O</a> <a class="link" href="s15.html#idx_id_63">P</a> <a class="link" href="s15.html#idx_id_65">R</a> <a class="link" href="s15.html#idx_id_66">S</a> <a class="link" href="s15.html#idx_id_67">T</a> <a class="link" href="s15.html#idx_id_68">U</a> <a class="link" href="s15.html#idx_id_69">V</a> <a class="link" href="s15.html#idx_id_70">W</a></p>
<div class="variablelist"><dl class="variablelist">
<dt>
<a name="idx_id_46"></a><span class="term">A</span>
<a name="idx_id_48"></a><span class="term">A</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none">
<dd><div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">assert_undefined_type</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
</li></ul></div></dd>
<dt>
<a name="idx_id_47"></a><span class="term">B</span>
<a name="idx_id_49"></a><span class="term">B</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact>
<dd><div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">bernoulli</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/bernoulli_dist.html" title="Bernoulli Distribution"><span class="index-entry-level-1">Bernoulli Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/bernoulli_dist.html" title="Bernoulli Distribution"><span class="index-entry-level-1">Bernoulli Distribution</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">beta</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/beta_dist.html" title="Beta Distribution"><span class="index-entry-level-1">Beta Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/beta_dist.html" title="Beta Distribution"><span class="index-entry-level-1">Beta Distribution</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">binomial</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/binomial_dist.html" title="Binomial Distribution"><span class="index-entry-level-1">Binomial Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/binomial_dist.html" title="Binomial Distribution"><span class="index-entry-level-1">Binomial Distribution</span></a></p></li></ul></div>
</li>
</ul></div></dd>
<dt>
<a name="idx_id_48"></a><span class="term">C</span>
<a name="idx_id_50"></a><span class="term">C</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact>
<dd><div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">cauchy</span></p>
<div class="index"><ul class="index" type="none" compact>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution"><span class="index-entry-level-1">Cauchy-Lorentz Distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html" title="Find Location (Mean) Example"><span class="index-entry-level-1">Find Location (Mean) Example</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/find_eg/find_mean_and_sd_eg.html" title="Find mean and standard deviation example"><span class="index-entry-level-1">Find mean and standard deviation example</span></a></p></li>
@@ -67,28 +67,28 @@
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">chi_squared</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/chi_squared_dist.html" title="Chi Squared Distribution"><span class="index-entry-level-1">Chi Squared Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/chi_squared_dist.html" title="Chi Squared Distribution"><span class="index-entry-level-1">Chi Squared Distribution</span></a></p></li></ul></div>
</li>
</ul></div></dd>
<dt>
<a name="idx_id_49"></a><span class="term">D</span>
<a name="idx_id_51"></a><span class="term">D</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact>
<dd><div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">denorm_error_type</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">discrete_quantile_type</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">domain_error_type</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">double_t</span></p>
<div class="index"><ul class="index" type="none" compact>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/tr1.html" title="C99 and C++ TR1 C-style Functions"><span class="index-entry-level-1">C99 and C++ TR1 C-style Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/extern_c/tr1.html" title="C99 and TR1 C Functions Overview"><span class="index-entry-level-1">C99 and TR1 C Functions Overview</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/extern_c/c99.html" title="C99 C Functions"><span class="index-entry-level-1">C99 C Functions</span></a></p></li>
@@ -96,36 +96,36 @@
</li>
</ul></div></dd>
<dt>
<a name="idx_id_50"></a><span class="term">E</span>
<a name="idx_id_52"></a><span class="term">E</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact>
<dd><div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">evaluation_error_type</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">exponential</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/exp_dist.html" title="Exponential Distribution"><span class="index-entry-level-1">Exponential Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/exp_dist.html" title="Exponential Distribution"><span class="index-entry-level-1">Exponential Distribution</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">extreme_value</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/extreme_dist.html" title="Extreme Value Distribution"><span class="index-entry-level-1">Extreme Value Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/extreme_dist.html" title="Extreme Value Distribution"><span class="index-entry-level-1">Extreme Value Distribution</span></a></p></li></ul></div>
</li>
</ul></div></dd>
<dt>
<a name="idx_id_51"></a><span class="term">F</span>
<a name="idx_id_53"></a><span class="term">F</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact>
<dd><div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">fisher_f</span></p>
<div class="index"><ul class="index" type="none" compact>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/f_dist.html" title="F Distribution"><span class="index-entry-level-1">F Distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_tutorial/ad_hoc_dist_policies.html" title="Setting Policies for Distributions on an Ad Hoc Basis"><span class="index-entry-level-1">Setting Policies for Distributions on an Ad Hoc Basis</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">float_t</span></p>
<div class="index"><ul class="index" type="none" compact>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/tr1.html" title="C99 and C++ TR1 C-style Functions"><span class="index-entry-level-1">C99 and C++ TR1 C-style Functions</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/extern_c/tr1.html" title="C99 and TR1 C Functions Overview"><span class="index-entry-level-1">C99 and TR1 C Functions Overview</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/extern_c/c99.html" title="C99 C Functions"><span class="index-entry-level-1">C99 C Functions</span></a></p></li>
@@ -133,12 +133,12 @@
</li>
</ul></div></dd>
<dt>
<a name="idx_id_52"></a><span class="term">G</span>
<a name="idx_id_54"></a><span class="term">G</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact>
<dd><div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">gamma</span></p>
<div class="index"><ul class="index" type="none" compact>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/gamma_dist.html" title="Gamma (and Erlang) Distribution"><span class="index-entry-level-1">Gamma (and Erlang) Distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/inverse_gamma_dist.html" title="Inverse Gamma Distribution"><span class="index-entry-level-1">Inverse Gamma Distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_tutorial/namespace_policies.html" title="Setting Policies at Namespace or Translation Unit Scope"><span class="index-entry-level-1">Setting Policies at Namespace or Translation Unit Scope</span></a></p></li>
@@ -146,80 +146,80 @@
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">geometric</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/geometric_dist.html" title="Geometric Distribution"><span class="index-entry-level-1">Geometric Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/geometric_dist.html" title="Geometric Distribution"><span class="index-entry-level-1">Geometric Distribution</span></a></p></li></ul></div>
</li>
</ul></div></dd>
<dt>
<a name="idx_id_53"></a><span class="term">H</span>
<a name="idx_id_55"></a><span class="term">H</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none">
<dd><div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">hypergeometric</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/hypergeometric_dist.html" title="Hypergeometric Distribution"><span class="index-entry-level-1">Hypergeometric Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/hypergeometric_dist.html" title="Hypergeometric Distribution"><span class="index-entry-level-1">Hypergeometric Distribution</span></a></p></li></ul></div>
</li></ul></div></dd>
<dt>
<a name="idx_id_54"></a><span class="term">I</span>
<a name="idx_id_56"></a><span class="term">I</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact>
<dd><div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">indeterminate_result_error_type</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">inverse_chi_squared</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/inverse_chi_squared_dist.html" title="Inverse Chi Squared Distribution"><span class="index-entry-level-1">Inverse Chi Squared Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/inverse_chi_squared_dist.html" title="Inverse Chi Squared Distribution"><span class="index-entry-level-1">Inverse Chi Squared Distribution</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">inverse_gaussian</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/inverse_gaussian_dist.html" title="Inverse Gaussian (or Inverse Normal) Distribution"><span class="index-entry-level-1">Inverse Gaussian (or Inverse Normal) Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/inverse_gaussian_dist.html" title="Inverse Gaussian (or Inverse Normal) Distribution"><span class="index-entry-level-1">Inverse Gaussian (or Inverse Normal) Distribution</span></a></p></li></ul></div>
</li>
</ul></div></dd>
<dt>
<a name="idx_id_56"></a><span class="term">L</span>
<a name="idx_id_59"></a><span class="term">L</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact>
<dd><div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">laplace</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/laplace_dist.html" title="Laplace Distribution"><span class="index-entry-level-1">Laplace Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/laplace_dist.html" title="Laplace Distribution"><span class="index-entry-level-1">Laplace Distribution</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">logistic</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/logistic_dist.html" title="Logistic Distribution"><span class="index-entry-level-1">Logistic Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/logistic_dist.html" title="Logistic Distribution"><span class="index-entry-level-1">Logistic Distribution</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">lognormal</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/lognormal_dist.html" title="Log Normal Distribution"><span class="index-entry-level-1">Log Normal Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/lognormal_dist.html" title="Log Normal Distribution"><span class="index-entry-level-1">Log Normal Distribution</span></a></p></li></ul></div>
</li>
</ul></div></dd>
<dt>
<a name="idx_id_58"></a><span class="term">N</span>
<a name="idx_id_61"></a><span class="term">N</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact>
<dd><div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">negative_binomial</span></p>
<div class="index"><ul class="index" type="none" compact>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/dist_construct_eg.html" title="Distribution Construction Example"><span class="index-entry-level-1">Distribution Construction Example</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/negative_binomial_dist.html" title="Negative Binomial Distribution"><span class="index-entry-level-1">Negative Binomial Distribution</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">non_central_beta</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/nc_beta_dist.html" title="Noncentral Beta Distribution"><span class="index-entry-level-1">Noncentral Beta Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/nc_beta_dist.html" title="Noncentral Beta Distribution"><span class="index-entry-level-1">Noncentral Beta Distribution</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">non_central_chi_squared</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/nc_chi_squared_dist.html" title="Noncentral Chi-Squared Distribution"><span class="index-entry-level-1">Noncentral Chi-Squared Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/nc_chi_squared_dist.html" title="Noncentral Chi-Squared Distribution"><span class="index-entry-level-1">Noncentral Chi-Squared Distribution</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">non_central_f</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/nc_f_dist.html" title="Noncentral F Distribution"><span class="index-entry-level-1">Noncentral F Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/nc_f_dist.html" title="Noncentral F Distribution"><span class="index-entry-level-1">Noncentral F Distribution</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">non_central_t</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/nc_t_dist.html" title="Noncentral T Distribution"><span class="index-entry-level-1">Noncentral T Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/nc_t_dist.html" title="Noncentral T Distribution"><span class="index-entry-level-1">Noncentral T Distribution</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">normal</span></p>
<div class="index"><ul class="index" type="none" compact>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/geometric_eg.html" title="Geometric Distribution Examples"><span class="index-entry-level-1">Geometric Distribution Examples</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution"><span class="index-entry-level-1">Normal (Gaussian) Distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_tutorial/namespace_policies.html" title="Setting Policies at Namespace or Translation Unit Scope"><span class="index-entry-level-1">Setting Policies at Namespace or Translation Unit Scope</span></a></p></li>
@@ -228,31 +228,31 @@
</li>
</ul></div></dd>
<dt>
<a name="idx_id_59"></a><span class="term">O</span>
<a name="idx_id_62"></a><span class="term">O</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none">
<dd><div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">overflow_error_type</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
</li></ul></div></dd>
<dt>
<a name="idx_id_60"></a><span class="term">P</span>
<a name="idx_id_63"></a><span class="term">P</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact>
<dd><div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">pareto</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/pareto.html" title="Pareto Distribution"><span class="index-entry-level-1">Pareto Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/pareto.html" title="Pareto Distribution"><span class="index-entry-level-1">Pareto Distribution</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">poisson</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/poisson_dist.html" title="Poisson Distribution"><span class="index-entry-level-1">Poisson Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/poisson_dist.html" title="Poisson Distribution"><span class="index-entry-level-1">Poisson Distribution</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">pole_error_type</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">policy_type</span></p>
<div class="index"><ul class="index" type="none" compact>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/bernoulli_dist.html" title="Bernoulli Distribution"><span class="index-entry-level-1">Bernoulli Distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/beta_dist.html" title="Beta Distribution"><span class="index-entry-level-1">Beta Distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/binomial_dist.html" title="Binomial Distribution"><span class="index-entry-level-1">Binomial Distribution</span></a></p></li>
@@ -284,66 +284,66 @@
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">precision_type</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">promote_double_type</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">promote_float_type</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
</li>
</ul></div></dd>
<dt>
<a name="idx_id_62"></a><span class="term">R</span>
<a name="idx_id_65"></a><span class="term">R</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact>
<dd><div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">rayleigh</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/rayleigh.html" title="Rayleigh Distribution"><span class="index-entry-level-1">Rayleigh Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/rayleigh.html" title="Rayleigh Distribution"><span class="index-entry-level-1">Rayleigh Distribution</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">rounding_error_type</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
</li>
</ul></div></dd>
<dt>
<a name="idx_id_63"></a><span class="term">S</span>
<a name="idx_id_66"></a><span class="term">S</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none">
<dd><div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">students_t</span></p>
<div class="index"><ul class="index" type="none" compact>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/namespaces.html" title="Namespaces"><span class="index-entry-level-1">Namespaces</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/students_t_dist.html" title="Students t Distribution"><span class="index-entry-level-1">Students t Distribution</span></a></p></li>
</ul></div>
</li></ul></div></dd>
<dt>
<a name="idx_id_64"></a><span class="term">T</span>
<a name="idx_id_67"></a><span class="term">T</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none">
<dd><div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">triangular</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/triangular_dist.html" title="Triangular Distribution"><span class="index-entry-level-1">Triangular Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/triangular_dist.html" title="Triangular Distribution"><span class="index-entry-level-1">Triangular Distribution</span></a></p></li></ul></div>
</li></ul></div></dd>
<dt>
<a name="idx_id_65"></a><span class="term">U</span>
<a name="idx_id_68"></a><span class="term">U</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact>
<dd><div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">underflow_error_type</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">uniform</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/uniform_dist.html" title="Uniform Distribution"><span class="index-entry-level-1">Uniform Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/uniform_dist.html" title="Uniform Distribution"><span class="index-entry-level-1">Uniform Distribution</span></a></p></li></ul></div>
</li>
</ul></div></dd>
<dt>
<a name="idx_id_66"></a><span class="term">V</span>
<a name="idx_id_69"></a><span class="term">V</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none">
<dd><div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">value_type</span></p>
<div class="index"><ul class="index" type="none" compact>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/bernoulli_dist.html" title="Bernoulli Distribution"><span class="index-entry-level-1">Bernoulli Distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/beta_dist.html" title="Beta Distribution"><span class="index-entry-level-1">Beta Distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/binomial_dist.html" title="Binomial Distribution"><span class="index-entry-level-1">Binomial Distribution</span></a></p></li>
@@ -380,18 +380,19 @@
</ul></div>
</li></ul></div></dd>
<dt>
<a name="idx_id_67"></a><span class="term">W</span>
<a name="idx_id_70"></a><span class="term">W</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none">
<dd><div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">weibull</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/weibull_dist.html" title="Weibull Distribution"><span class="index-entry-level-1">Weibull Distribution</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/weibull_dist.html" title="Weibull Distribution"><span class="index-entry-level-1">Weibull Distribution</span></a></p></li></ul></div>
</li></ul></div></dd>
</dl></div>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang Zhang, Bruno
Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin Sobotta<p>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
Zhang, Bruno Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin
Sobotta<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>

117
doc/sf_and_dist/html/index/s16.html
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Macro Index</title>
<link rel="stylesheet" href="../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
<link rel="home" href="../index.html" title="Math Toolkit">
<link rel="up" href="../index.html" title="Math Toolkit">
<link rel="prev" href="s15.html" title="Typedef Index">
@@ -22,22 +22,22 @@
<div class="spirit-nav">
<a accesskey="p" href="s15.html"><img src="../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="s17.html"><img src="../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section id1299320">
<div class="section id1412620">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="id1299320"></a>Macro Index</h2></div></div></div>
<p><a class="link" href="s16.html#idx_id_70">B</a> <a class="link" href="s16.html#idx_id_74">F</a></p>
<div class="variablelist"><dl>
<a name="id1412620"></a>Macro Index</h2></div></div></div>
<p><a class="link" href="s16.html#idx_id_73">B</a> <a class="link" href="s16.html#idx_id_77">F</a></p>
<div class="variablelist"><dl class="variablelist">
<dt>
<a name="idx_id_70"></a><span class="term">B</span>
<a name="idx_id_73"></a><span class="term">B</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact>
<dd><div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_CONSTANTS_GENERATE</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/constants/new_const.html" title="Defining New Constants"><span class="index-entry-level-1">Defining New Constants</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/constants/new_const.html" title="Defining New Constants"><span class="index-entry-level-1">Defining New Constants</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_DEFINE_MATH_CONSTANT</span></p>
<div class="index"><ul class="index" type="none" compact>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/backgrounders/implementation.html" title="Additional Implementation Notes"><span class="index-entry-level-1">Additional Implementation Notes</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/constants/new_const.html" title="Defining New Constants"><span class="index-entry-level-1">Defining New Constants</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/constants/FAQ.html" title="FAQs"><span class="index-entry-level-1">FAQs</span></a></p></li>
@@ -45,23 +45,23 @@
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_FPU_EXCEPTION_GUARD</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_macros" title="Table&#160;11.&#160;Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_macros" title="Table&#160;11.&#160;Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_HAS_LOG1P</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/special/powers/log1p.html" title="log1p"><span class="index-entry-level-1">log1p</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/special/powers/log1p.html" title="log1p"><span class="index-entry-level-1">log1p</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_NON_TYPE_SPEC</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_macros" title="Table&#160;11.&#160;Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_macros" title="Table&#160;11.&#160;Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE_SPEC</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_macros" title="Table&#160;11.&#160;Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_macros" title="Table&#160;11.&#160;Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_ASSERT_UNDEFINED_POLICY</span></p>
<div class="index"><ul class="index" type="none" compact>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_tutorial/changing_policy_defaults.html" title="Changing the Policy Defaults"><span class="index-entry-level-1">Changing the Policy Defaults</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/assert_undefined.html" title="Mathematically Undefined Function Policies"><span class="index-entry-level-1">Mathematically Undefined Function Policies</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/policy_defaults.html" title="Using Macros to Change the Policy Defaults"><span class="index-entry-level-1">Using Macros to Change the Policy Defaults</span></a></p></li>
@@ -69,22 +69,22 @@
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_macros" title="Table&#160;11.&#160;Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_macros" title="Table&#160;11.&#160;Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_CONTROL_FP</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_macros" title="Table&#160;11.&#160;Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_macros" title="Table&#160;11.&#160;Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_DECLARE_DISTRIBUTIONS</span></p>
<div class="index"><ul class="index" type="none" compact>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/namespace_pol.html" title="Setting Polices at Namespace Scope"><span class="index-entry-level-1">Setting Polices at Namespace Scope</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_tutorial/namespace_policies.html" title="Setting Policies at Namespace or Translation Unit Scope"><span class="index-entry-level-1">Setting Policies at Namespace or Translation Unit Scope</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_DECLARE_SPECIAL_FUNCTIONS</span></p>
<div class="index"><ul class="index" type="none" compact>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_tutorial/user_def_err_pol.html" title="Calling User Defined Error Handlers"><span class="index-entry-level-1">Calling User Defined Error Handlers</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/namespace_pol.html" title="Setting Polices at Namespace Scope"><span class="index-entry-level-1">Setting Polices at Namespace Scope</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_tutorial/namespace_policies.html" title="Setting Policies at Namespace or Translation Unit Scope"><span class="index-entry-level-1">Setting Policies at Namespace or Translation Unit Scope</span></a></p></li>
@@ -92,15 +92,15 @@
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_DENORM_ERROR_POLICY</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/policy_defaults.html" title="Using Macros to Change the Policy Defaults"><span class="index-entry-level-1">Using Macros to Change the Policy Defaults</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/policy_defaults.html" title="Using Macros to Change the Policy Defaults"><span class="index-entry-level-1">Using Macros to Change the Policy Defaults</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_DIGITS10_POLICY</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/policy_defaults.html" title="Using Macros to Change the Policy Defaults"><span class="index-entry-level-1">Using Macros to Change the Policy Defaults</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/policy_defaults.html" title="Using Macros to Change the Policy Defaults"><span class="index-entry-level-1">Using Macros to Change the Policy Defaults</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_DISCRETE_QUANTILE_POLICY</span></p>
<div class="index"><ul class="index" type="none" compact>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/binom_eg/binomial_quiz_example.html" title="Binomial Quiz Example"><span class="index-entry-level-1">Binomial Quiz Example</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/geometric_eg.html" title="Geometric Distribution Examples"><span class="index-entry-level-1">Geometric Distribution Examples</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html" title="Negative Binomial Sales Quota Example."><span class="index-entry-level-1">Negative Binomial Sales Quota Example.</span></a></p></li>
@@ -109,7 +109,7 @@
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_DOMAIN_ERROR_POLICY</span></p>
<div class="index"><ul class="index" type="none" compact>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/backgrounders/implementation.html" title="Additional Implementation Notes"><span class="index-entry-level-1">Additional Implementation Notes</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_tutorial/changing_policy_defaults.html" title="Changing the Policy Defaults"><span class="index-entry-level-1">Changing the Policy Defaults</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/error_eg.html" title="Error Handling Example"><span class="index-entry-level-1">Error Handling Example</span></a></p></li>
@@ -118,86 +118,86 @@
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_EVALUATION_ERROR_POLICY</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/policy_defaults.html" title="Using Macros to Change the Policy Defaults"><span class="index-entry-level-1">Using Macros to Change the Policy Defaults</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/policy_defaults.html" title="Using Macros to Change the Policy Defaults"><span class="index-entry-level-1">Using Macros to Change the Policy Defaults</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_EXPLICIT_TEMPLATE_NON_TYPE</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_macros" title="Table&#160;11.&#160;Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_macros" title="Table&#160;11.&#160;Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_EXPLICIT_TEMPLATE_TYPE</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_macros" title="Table&#160;11.&#160;Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_macros" title="Table&#160;11.&#160;Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/constants/new_const.html" title="Defining New Constants"><span class="index-entry-level-1">Defining New Constants</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/constants/new_const.html" title="Defining New Constants"><span class="index-entry-level-1">Defining New Constants</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/policy_defaults.html" title="Using Macros to Change the Policy Defaults"><span class="index-entry-level-1">Using Macros to Change the Policy Defaults</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/policy_defaults.html" title="Using Macros to Change the Policy Defaults"><span class="index-entry-level-1">Using Macros to Change the Policy Defaults</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_INSTRUMENT_CODE</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_macros" title="Table&#160;11.&#160;Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_macros" title="Table&#160;11.&#160;Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_INSTRUMENT_FPU</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_macros" title="Table&#160;11.&#160;Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_macros" title="Table&#160;11.&#160;Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_INSTRUMENT_VARIABLE</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_macros" title="Table&#160;11.&#160;Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_macros" title="Table&#160;11.&#160;Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_INT_TABLE_TYPE</span></p>
<div class="index"><ul class="index" type="none" compact>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_tuning" title="Table&#160;12.&#160;Boost.Math Tuning"><span class="index-entry-level-1">Boost.Math Tuning</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/perf/tuning.html" title="Performance Tuning Macros"><span class="index-entry-level-1">Performance Tuning Macros</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_INT_VALUE_SUFFIX</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_tuning" title="Table&#160;12.&#160;Boost.Math Tuning"><span class="index-entry-level-1">Boost.Math Tuning</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_tuning" title="Table&#160;12.&#160;Boost.Math Tuning"><span class="index-entry-level-1">Boost.Math Tuning</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_MAX_POLY_ORDER</span></p>
<div class="index"><ul class="index" type="none" compact>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_tuning" title="Table&#160;12.&#160;Boost.Math Tuning"><span class="index-entry-level-1">Boost.Math Tuning</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/perf/tuning.html" title="Performance Tuning Macros"><span class="index-entry-level-1">Performance Tuning Macros</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_MAX_ROOT_ITERATION_POLICY</span></p>
<div class="index"><ul class="index" type="none" compact>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/iteration_pol.html" title="Iteration Limits Policies"><span class="index-entry-level-1">Iteration Limits Policies</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/policy_defaults.html" title="Using Macros to Change the Policy Defaults"><span class="index-entry-level-1">Using Macros to Change the Policy Defaults</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_MAX_SERIES_ITERATION_POLICY</span></p>
<div class="index"><ul class="index" type="none" compact>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/iteration_pol.html" title="Iteration Limits Policies"><span class="index-entry-level-1">Iteration Limits Policies</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/policy_defaults.html" title="Using Macros to Change the Policy Defaults"><span class="index-entry-level-1">Using Macros to Change the Policy Defaults</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_macros" title="Table&#160;11.&#160;Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_macros" title="Table&#160;11.&#160;Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS</span></p>
<div class="index"><ul class="index" type="none" compact>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_macros" title="Table&#160;11.&#160;Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/compilers_overview.html#math_toolkit.main_overview.compilers_overview.supported_tested_compilers" title="Table&#160;9.&#160;Supported/Tested Compilers"><span class="index-entry-level-1">Supported/Tested Compilers</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_NO_REAL_CONCEPT_TESTS</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_macros" title="Table&#160;11.&#160;Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_macros" title="Table&#160;11.&#160;Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_OVERFLOW_ERROR_POLICY</span></p>
<div class="index"><ul class="index" type="none" compact>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_tutorial/changing_policy_defaults.html" title="Changing the Policy Defaults"><span class="index-entry-level-1">Changing the Policy Defaults</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/special/powers/ct_pow.html" title="Compile Time Power of a Runtime Base"><span class="index-entry-level-1">Compile Time Power of a Runtime Base</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/error_eg.html" title="Error Handling Example"><span class="index-entry-level-1">Error Handling Example</span></a></p></li>
@@ -208,88 +208,89 @@
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_POLE_ERROR_POLICY</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/policy_defaults.html" title="Using Macros to Change the Policy Defaults"><span class="index-entry-level-1">Using Macros to Change the Policy Defaults</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/policy_defaults.html" title="Using Macros to Change the Policy Defaults"><span class="index-entry-level-1">Using Macros to Change the Policy Defaults</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_POLY_METHOD</span></p>
<div class="index"><ul class="index" type="none" compact>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_tuning" title="Table&#160;12.&#160;Boost.Math Tuning"><span class="index-entry-level-1">Boost.Math Tuning</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/perf/tuning.html" title="Performance Tuning Macros"><span class="index-entry-level-1">Performance Tuning Macros</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_PROMOTE_DOUBLE_POLICY</span></p>
<div class="index"><ul class="index" type="none" compact>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/perf/tuning.html" title="Performance Tuning Macros"><span class="index-entry-level-1">Performance Tuning Macros</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/policy_defaults.html" title="Using Macros to Change the Policy Defaults"><span class="index-entry-level-1">Using Macros to Change the Policy Defaults</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_PROMOTE_FLOAT_POLICY</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/policy_defaults.html" title="Using Macros to Change the Policy Defaults"><span class="index-entry-level-1">Using Macros to Change the Policy Defaults</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/policy_defaults.html" title="Using Macros to Change the Policy Defaults"><span class="index-entry-level-1">Using Macros to Change the Policy Defaults</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_RATIONAL_METHOD</span></p>
<div class="index"><ul class="index" type="none" compact>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_tuning" title="Table&#160;12.&#160;Boost.Math Tuning"><span class="index-entry-level-1">Boost.Math Tuning</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/perf/tuning.html" title="Performance Tuning Macros"><span class="index-entry-level-1">Performance Tuning Macros</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_ROUNDING_ERROR_POLICY</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/policy_defaults.html" title="Using Macros to Change the Policy Defaults"><span class="index-entry-level-1">Using Macros to Change the Policy Defaults</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/policy_defaults.html" title="Using Macros to Change the Policy Defaults"><span class="index-entry-level-1">Using Macros to Change the Policy Defaults</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_SMALL_CONSTANT</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_macros" title="Table&#160;11.&#160;Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_macros" title="Table&#160;11.&#160;Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_STD_USING</span></p>
<div class="index"><ul class="index" type="none" compact>
<div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_macros" title="Table&#160;11.&#160;Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/constants/new_const.html" title="Defining New Constants"><span class="index-entry-level-1">Defining New Constants</span></a></p></li>
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_UNDERFLOW_ERROR_POLICY</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/policy_defaults.html" title="Using Macros to Change the Policy Defaults"><span class="index-entry-level-1">Using Macros to Change the Policy Defaults</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/policy_defaults.html" title="Using Macros to Change the Policy Defaults"><span class="index-entry-level-1">Using Macros to Change the Policy Defaults</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">BOOST_MATH_USE_C99</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_macros" title="Table&#160;11.&#160;Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/config_macros.html#math_toolkit.main_overview.config_macros.boost_math_macros" title="Table&#160;11.&#160;Boost.Math Macros"><span class="index-entry-level-1">Boost.Math Macros</span></a></p></li></ul></div>
</li>
</ul></div></dd>
<dt>
<a name="idx_id_74"></a><span class="term">F</span>
<a name="idx_id_77"></a><span class="term">F</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact>
<dd><div class="index"><ul class="index" style="list-style-type: none; ">
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">FP_INFINITE</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/utils/fpclass.html" title="Floating-Point Classification: Infinities and NaNs"><span class="index-entry-level-1">Floating-Point Classification: Infinities and NaNs</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/utils/fpclass.html" title="Floating-Point Classification: Infinities and NaNs"><span class="index-entry-level-1">Floating-Point Classification: Infinities and NaNs</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">FP_NAN</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/utils/fpclass.html" title="Floating-Point Classification: Infinities and NaNs"><span class="index-entry-level-1">Floating-Point Classification: Infinities and NaNs</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/utils/fpclass.html" title="Floating-Point Classification: Infinities and NaNs"><span class="index-entry-level-1">Floating-Point Classification: Infinities and NaNs</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">FP_NORMAL</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/utils/fpclass.html" title="Floating-Point Classification: Infinities and NaNs"><span class="index-entry-level-1">Floating-Point Classification: Infinities and NaNs</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/utils/fpclass.html" title="Floating-Point Classification: Infinities and NaNs"><span class="index-entry-level-1">Floating-Point Classification: Infinities and NaNs</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">FP_SUBNORMAL</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/utils/fpclass.html" title="Floating-Point Classification: Infinities and NaNs"><span class="index-entry-level-1">Floating-Point Classification: Infinities and NaNs</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/utils/fpclass.html" title="Floating-Point Classification: Infinities and NaNs"><span class="index-entry-level-1">Floating-Point Classification: Infinities and NaNs</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">FP_ZERO</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/utils/fpclass.html" title="Floating-Point Classification: Infinities and NaNs"><span class="index-entry-level-1">Floating-Point Classification: Infinities and NaNs</span></a></p></li></ul></div>
<div class="index"><ul class="index" style="list-style-type: none; "><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/utils/fpclass.html" title="Floating-Point Classification: Infinities and NaNs"><span class="index-entry-level-1">Floating-Point Classification: Infinities and NaNs</span></a></p></li></ul></div>
</li>
</ul></div></dd>
</dl></div>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang Zhang, Bruno
Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin Sobotta<p>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
Zhang, Bruno Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin
Sobotta<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>

1465
doc/sf_and_dist/html/index/s17.html
View File

File diff suppressed because it is too large Load Diff

7
doc/sf_and_dist/html/math_toolkit/backgrounders.html
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Backgrounders</title>
<link rel="stylesheet" href="../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
<link rel="home" href="../index.html" title="Math Toolkit">
<link rel="up" href="../index.html" title="Math Toolkit">
<link rel="prev" href="perf/perf_test_app.html" title="The Performance Test Application">
@@ -37,8 +37,9 @@
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang Zhang, Bruno
Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin Sobotta<p>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
Zhang, Bruno Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin
Sobotta<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>

132
doc/sf_and_dist/html/math_toolkit/backgrounders/implementation.html
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Additional Implementation Notes</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../backgrounders.html" title="Backgrounders">
<link rel="prev" href="../backgrounders.html" title="Backgrounders">
@@ -34,7 +34,7 @@
</p>
<h5>
<a name="math_toolkit.backgrounders.implementation.h0"></a>
<span><a name="math_toolkit.backgrounders.implementation.implemention_philosophy"></a></span><a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.implemention_philosophy">Implemention
<span class="phrase"><a name="math_toolkit.backgrounders.implementation.implemention_philosophy"></a></span><a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.implemention_philosophy">Implemention
philosophy</a>
</h5>
<p>
@@ -86,7 +86,7 @@
</p>
<h5>
<a name="math_toolkit.backgrounders.implementation.h1"></a>
<span><a name="math_toolkit.backgrounders.implementation.accuracy_and_representation_of_test_values"></a></span><a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.accuracy_and_representation_of_test_values">Accuracy
<span class="phrase"><a name="math_toolkit.backgrounders.implementation.accuracy_and_representation_of_test_values"></a></span><a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.accuracy_and_representation_of_test_values">Accuracy
and Representation of Test Values</a>
</h5>
<p>
@@ -131,13 +131,13 @@
</p>
<h5>
<a name="math_toolkit.backgrounders.implementation.h2"></a>
<span><a name="math_toolkit.backgrounders.implementation.tolerance_of_tests"></a></span><a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.tolerance_of_tests">Tolerance
<span class="phrase"><a name="math_toolkit.backgrounders.implementation.tolerance_of_tests"></a></span><a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.tolerance_of_tests">Tolerance
of Tests</a>
</h5>
<p>
The tolerances need to be set to the maximum of:
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Some epsilon value.
</li>
@@ -157,7 +157,7 @@
</p>
<h5>
<a name="math_toolkit.backgrounders.implementation.h3"></a>
<span><a name="math_toolkit.backgrounders.implementation.handling_unsuitable_arguments"></a></span><a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.handling_unsuitable_arguments">Handling
<span class="phrase"><a name="math_toolkit.backgrounders.implementation.handling_unsuitable_arguments"></a></span><a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.handling_unsuitable_arguments">Handling
Unsuitable Arguments</a>
</h5>
<p>
@@ -166,7 +166,7 @@
it is proposed that signalling a domain error is mandatory when the argument
would give an mathematically undefined result.
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc"><li class="listitem">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; "><li class="listitem">
Guideline 1
</li></ul></div>
<div class="blockquote"><blockquote class="blockquote"><p>
@@ -183,7 +183,7 @@
a domain error whenever evaluated with argument values for which the mathematical
function is undefined.
</p></blockquote></div>
<div class="itemizedlist"><ul class="itemizedlist" type="disc"><li class="listitem">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; "><li class="listitem">
Guideline 2
</li></ul></div>
<div class="blockquote"><blockquote class="blockquote"><p>
@@ -225,7 +225,7 @@
</table></div>
<h5>
<a name="math_toolkit.backgrounders.implementation.h4"></a>
<span><a name="math_toolkit.backgrounders.implementation.handling_of_functions_that_are_not_mathematically_defined"></a></span><a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.handling_of_functions_that_are_not_mathematically_defined">Handling
<span class="phrase"><a name="math_toolkit.backgrounders.implementation.handling_of_functions_that_are_not_mathematically_defined"></a></span><a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.handling_of_functions_that_are_not_mathematically_defined">Handling
of Functions that are Not Mathematically defined</a>
</h5>
<p>
@@ -259,7 +259,7 @@
</table></div>
<h5>
<a name="math_toolkit.backgrounders.implementation.h5"></a>
<span><a name="math_toolkit.backgrounders.implementation.median_of_distributions"></a></span><a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.median_of_distributions">Median
<span class="phrase"><a name="math_toolkit.backgrounders.implementation.median_of_distributions"></a></span><a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.median_of_distributions">Median
of distributions</a>
</h5>
<p>
@@ -294,7 +294,7 @@
</p>
<h5>
<a name="math_toolkit.backgrounders.implementation.h6"></a>
<span><a name="math_toolkit.backgrounders.implementation.handling_of_floating_point_infinity"></a></span><a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.handling_of_floating_point_infinity">Handling
<span class="phrase"><a name="math_toolkit.backgrounders.implementation.handling_of_floating_point_infinity"></a></span><a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.handling_of_floating_point_infinity">Handling
of Floating-Point Infinity</a>
</h5>
<p>
@@ -318,7 +318,22 @@
<p>
However in a few cases, for example normal, where we felt it obvious, we
have permitted argument(s) to be infinity, provided infinity is implemented
for the realType on that implementation.
for the <code class="computeroutput"><span class="identifier">RealType</span></code> on that
implementation, and it is supported and tested by the distribution.
</p>
<p>
The range for these distributions is set to infinity if supported by the
platform, (by testing <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special">&lt;</span><span class="identifier">RealType</span><span class="special">&gt;::</span><span class="identifier">has_infinity</span></code>)
else the maximum value provided for the <code class="computeroutput"><span class="identifier">RealType</span></code>
by Boost.Math.
</p>
<p>
Testing for has_infinity is obviously important for arbitrary precision types
where infinity makes much less sense than for IEEE754 floating-point.
</p>
<p>
So far we have not set <code class="computeroutput"><span class="identifier">support</span><span class="special">()</span></code> function (only range) on the grounds that
the PDF is uninteresting/zero for infinities.
</p>
<p>
Users who require special handling of infinity (or other specific value)
@@ -338,7 +353,7 @@
</p>
<h5>
<a name="math_toolkit.backgrounders.implementation.h7"></a>
<span><a name="math_toolkit.backgrounders.implementation.scale__shape_and_location"></a></span><a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.scale__shape_and_location">Scale,
<span class="phrase"><a name="math_toolkit.backgrounders.implementation.scale__shape_and_location"></a></span><a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.scale__shape_and_location">Scale,
Shape and Location</a>
</h5>
<p>
@@ -365,10 +380,10 @@
</p>
<h5>
<a name="math_toolkit.backgrounders.implementation.h8"></a>
<span><a name="math_toolkit.backgrounders.implementation.notes_on_implementation_of_specific_functions__amp__distributions"></a></span><a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.notes_on_implementation_of_specific_functions__amp__distributions">Notes
<span class="phrase"><a name="math_toolkit.backgrounders.implementation.notes_on_implementation_of_specific_functions__amp__distributions"></a></span><a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.notes_on_implementation_of_specific_functions__amp__distributions">Notes
on Implementation of Specific Functions &amp; Distributions</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" type="disc"><li class="listitem">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; "><li class="listitem">
Default parameters for the Triangular Distribution. We are uncertain
about the best default parameters. Some sources suggest that the Standard
Triangular Distribution has lower = 0, mode = half and upper = 1. However
@@ -377,7 +392,7 @@
</li></ul></div>
<h5>
<a name="math_toolkit.backgrounders.implementation.h9"></a>
<span><a name="math_toolkit.backgrounders.implementation.rational_approximations_used"></a></span><a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.rational_approximations_used">Rational
<span class="phrase"><a name="math_toolkit.backgrounders.implementation.rational_approximations_used"></a></span><a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.rational_approximations_used">Rational
Approximations Used</a>
</h5>
<p>
@@ -420,7 +435,7 @@
</p>
<h5>
<a name="math_toolkit.backgrounders.implementation.h10"></a>
<span><a name="math_toolkit.backgrounders.implementation.representation_of_mathematical_constants"></a></span><a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.representation_of_mathematical_constants">Representation
<span class="phrase"><a name="math_toolkit.backgrounders.implementation.representation_of_mathematical_constants"></a></span><a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.representation_of_mathematical_constants">Representation
of Mathematical Constants</a>
</h5>
<p>
@@ -481,7 +496,7 @@
</pre>
<h5>
<a name="math_toolkit.backgrounders.implementation.h11"></a>
<span><a name="math_toolkit.backgrounders.implementation.thread_safety"></a></span><a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.thread_safety">Thread
<span class="phrase"><a name="math_toolkit.backgrounders.implementation.thread_safety"></a></span><a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.thread_safety">Thread
safety</a>
</h5>
<p>
@@ -506,7 +521,7 @@
</p>
<h5>
<a name="math_toolkit.backgrounders.implementation.h12"></a>
<span><a name="math_toolkit.backgrounders.implementation.sources_of_test_data"></a></span><a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.sources_of_test_data">Sources
<span class="phrase"><a name="math_toolkit.backgrounders.implementation.sources_of_test_data"></a></span><a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.sources_of_test_data">Sources
of Test Data</a>
</h5>
<p>
@@ -547,7 +562,75 @@
</p>
<h5>
<a name="math_toolkit.backgrounders.implementation.h13"></a>
<span><a name="math_toolkit.backgrounders.implementation.creating_and_managing_the_equations"></a></span><a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.creating_and_managing_the_equations">Creating
<span class="phrase"><a name="math_toolkit.backgrounders.implementation.testing_for_invalid_parameters_to_functions_and_constructors"></a></span><a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.testing_for_invalid_parameters_to_functions_and_constructors">Testing
for Invalid Parameters to Functions and Constructors</a>
</h5>
<p>
After finding that some 'bad' parameters (like NaN) were not throwing a
<code class="computeroutput"><span class="identifier">domain_error</span></code> exception as
they should, a function
</p>
<p>
<code class="computeroutput"><span class="identifier">check_out_of_range</span></code> (in <code class="computeroutput"><span class="identifier">test_out_of_range</span><span class="special">.</span><span class="identifier">hpp</span></code>) was devised by JM to check (using
Boost.Test's BOOST_CHECK_THROW macro) that bad parameters passed to constructors
and functions throw <code class="computeroutput"><span class="identifier">domain_error</span></code>
exceptions.
</p>
<p>
Usage is <code class="computeroutput"><span class="identifier">check_out_of_range</span><span class="special">&lt;</span> <span class="identifier">DistributionType</span>
<span class="special">&gt;(</span><span class="identifier">list</span><span class="special">-</span><span class="identifier">of</span><span class="special">-</span><span class="identifier">params</span><span class="special">);</span></code>
Where list-of-params is a list of <span class="bold"><strong>valid</strong></span>
parameters from which the distribution can be constructed - ie the same number
of args are passed to the function, as are passed to the distribution constructor.
</p>
<p>
The values of the parameters are not important, but must be <span class="bold"><strong>valid</strong></span>
to pass the contructor checks; the default values are suitable, but must
be explicitly provided, for example:
</p>
<pre class="programlisting"><span class="identifier">check_out_of_range</span><span class="special">&lt;</span><span class="identifier">extreme_value_distribution</span><span class="special">&lt;</span><span class="identifier">RealType</span><span class="special">&gt;</span> <span class="special">&gt;(</span><span class="number">1</span><span class="special">,</span> <span class="number">2</span><span class="special">);</span>
</pre>
<p>
Checks made are:
</p>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Infinity or NaN (if available) passed in place of each of the valid params.
</li>
<li class="listitem">
Infinity or NaN (if available) as a random variable.
</li>
<li class="listitem">
Out-of-range random variable passed to pdf and cdf (ie outside of "range(DistributionType)").
</li>
<li class="listitem">
Out-of-range probability passed to quantile function and complement.
</li>
</ul></div>
<p>
but does <span class="bold"><strong>not</strong></span> check finite but out-of-range
parameters to the constructor because these are specific to each distribution,
for example:
</p>
<pre class="programlisting"><span class="identifier">BOOST_CHECK_THROW</span><span class="special">(</span><span class="identifier">pdf</span><span class="special">(</span><span class="identifier">pareto_distribution</span><span class="special">&lt;</span><span class="identifier">RealType</span><span class="special">&gt;(</span><span class="number">0</span><span class="special">,</span> <span class="number">1</span><span class="special">),</span> <span class="number">0</span><span class="special">),</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">domain_error</span><span class="special">);</span>
<span class="identifier">BOOST_CHECK_THROW</span><span class="special">(</span><span class="identifier">pdf</span><span class="special">(</span><span class="identifier">pareto_distribution</span><span class="special">&lt;</span><span class="identifier">RealType</span><span class="special">&gt;(</span><span class="number">1</span><span class="special">,</span> <span class="number">0</span><span class="special">),</span> <span class="number">0</span><span class="special">),</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">domain_error</span><span class="special">);</span>
</pre>
<p>
checks <code class="computeroutput"><span class="identifier">scale</span></code> and <code class="computeroutput"><span class="identifier">shape</span></code> parameters are both &gt; 0 by checking
that <code class="computeroutput"><span class="identifier">domain_error</span></code> exception
is thrown if either are == 0.
</p>
<p>
(Use of <code class="computeroutput"><span class="identifier">check_out_of_range</span></code>
function may mean that some previous tests are now redundant).
</p>
<p>
It was also noted that if more than one parameter is bad, then only the first
detected will be reported by the error message.
</p>
<h5>
<a name="math_toolkit.backgrounders.implementation.h14"></a>
<span class="phrase"><a name="math_toolkit.backgrounders.implementation.creating_and_managing_the_equations"></a></span><a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.creating_and_managing_the_equations">Creating
and Managing the Equations</a>
</h5>
<p>
@@ -736,8 +819,8 @@ done</pre>
HTML: this needs further investigation.
</p>
<h5>
<a name="math_toolkit.backgrounders.implementation.h14"></a>
<span><a name="math_toolkit.backgrounders.implementation.producing_graphs"></a></span><a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.producing_graphs">Producing
<a name="math_toolkit.backgrounders.implementation.h15"></a>
<span class="phrase"><a name="math_toolkit.backgrounders.implementation.producing_graphs"></a></span><a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.producing_graphs">Producing
Graphs</a>
</h5>
<p>
@@ -755,8 +838,9 @@ done</pre>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang Zhang, Bruno
Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin Sobotta<p>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
Zhang, Bruno Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin
Sobotta<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>

23
doc/sf_and_dist/html/math_toolkit/backgrounders/lanczos.html
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>The Lanczos Approximation</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../backgrounders.html" title="Backgrounders">
<link rel="prev" href="relative_error.html" title="Relative Error">
@@ -28,7 +28,7 @@
</h3></div></div></div>
<h5>
<a name="math_toolkit.backgrounders.lanczos.h0"></a>
<span><a name="math_toolkit.backgrounders.lanczos.motivation"></a></span><a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.motivation">Motivation</a>
<span class="phrase"><a name="math_toolkit.backgrounders.lanczos.motivation"></a></span><a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.motivation">Motivation</a>
</h5>
<p>
<span class="emphasis"><em>Why base gamma and gamma-like functions on the Lanczos approximation?</em></span>
@@ -45,7 +45,7 @@
Lanczos approximation does have a couple of properties that make it worthy
of further consideration:
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
The approximation has an easy to compute truncation error that holds
for all <span class="emphasis"><em>z &gt; 0</em></span>. In practice that means we can
@@ -100,7 +100,7 @@
</p>
<h5>
<a name="math_toolkit.backgrounders.lanczos.h1"></a>
<span><a name="math_toolkit.backgrounders.lanczos.the_approximation"></a></span><a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.the_approximation">The Approximation</a>
<span class="phrase"><a name="math_toolkit.backgrounders.lanczos.the_approximation"></a></span><a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.the_approximation">The Approximation</a>
</h5>
<p>
The Lanczos Approximation to the Gamma Function is given by:
@@ -161,7 +161,7 @@
</table></div>
<h5>
<a name="math_toolkit.backgrounders.lanczos.h2"></a>
<span><a name="math_toolkit.backgrounders.lanczos.computing_the_coefficients"></a></span><a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.computing_the_coefficients">Computing
<span class="phrase"><a name="math_toolkit.backgrounders.lanczos.computing_the_coefficients"></a></span><a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.computing_the_coefficients">Computing
the Coefficients</a>
</h5>
<p>
@@ -205,7 +205,7 @@
</p>
<h5>
<a name="math_toolkit.backgrounders.lanczos.h3"></a>
<span><a name="math_toolkit.backgrounders.lanczos.choosing_the_right_parameters"></a></span><a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.choosing_the_right_parameters">Choosing
<span class="phrase"><a name="math_toolkit.backgrounders.lanczos.choosing_the_right_parameters"></a></span><a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.choosing_the_right_parameters">Choosing
the Right Parameters</a>
</h5>
<p>
@@ -228,7 +228,7 @@
computing to float precision with double precision arithmetic.
</p>
<div class="table">
<a name="math_toolkit.backgrounders.lanczos.optimal_choices_for_n_and_g_when_computing_with_guard_digits__source__pugh_"></a><p class="title"><b>Table&#160;58.&#160;Optimal choices for N and g when computing with guard digits (source:
<a name="math_toolkit.backgrounders.lanczos.optimal_choices_for_n_and_g_when_computing_with_guard_digits__source__pugh_"></a><p class="title"><b>Table&#160;59.&#160;Optimal choices for N and g when computing with guard digits (source:
Pugh)</b></p>
<div class="table-contents"><table class="table" summary="Optimal choices for N and g when computing with guard digits (source:
Pugh)">
@@ -371,7 +371,7 @@
exactly matches the machine epsilon for the type in question.
</p>
<div class="table">
<a name="math_toolkit.backgrounders.lanczos.optimum_value_for_n_and_g_when_computing_at_fixed_precision"></a><p class="title"><b>Table&#160;59.&#160;Optimum value for N and g when computing at fixed precision</b></p>
<a name="math_toolkit.backgrounders.lanczos.optimum_value_for_n_and_g_when_computing_at_fixed_precision"></a><p class="title"><b>Table&#160;60.&#160;Optimum value for N and g when computing at fixed precision</b></p>
<div class="table-contents"><table class="table" summary="Optimum value for N and g when computing at fixed precision">
<colgroup>
<col>
@@ -535,7 +535,7 @@
</p>
<h5>
<a name="math_toolkit.backgrounders.lanczos.h4"></a>
<span><a name="math_toolkit.backgrounders.lanczos.references"></a></span><a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.references">References</a>
<span class="phrase"><a name="math_toolkit.backgrounders.lanczos.references"></a></span><a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.references">References</a>
</h5>
<div class="orderedlist"><ol class="orderedlist" type="1">
<li class="listitem">
@@ -559,8 +559,9 @@
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang Zhang, Bruno
Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin Sobotta<p>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
Zhang, Bruno Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin
Sobotta<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>

13
doc/sf_and_dist/html/math_toolkit/backgrounders/refs.html
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>References</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../backgrounders.html" title="Backgrounders">
<link rel="prev" href="remez.html" title="The Remez Method">
@@ -28,7 +28,7 @@
</h3></div></div></div>
<h5>
<a name="math_toolkit.backgrounders.refs.h0"></a>
<span><a name="math_toolkit.backgrounders.refs.general_references"></a></span><a class="link" href="refs.html#math_toolkit.backgrounders.refs.general_references">General
<span class="phrase"><a name="math_toolkit.backgrounders.refs.general_references"></a></span><a class="link" href="refs.html#math_toolkit.backgrounders.refs.general_references">General
references</a>
</h5>
<p>
@@ -99,7 +99,7 @@
</p>
<h5>
<a name="math_toolkit.backgrounders.refs.h1"></a>
<span><a name="math_toolkit.backgrounders.refs.calculators"></a></span><a class="link" href="refs.html#math_toolkit.backgrounders.refs.calculators">Calculators</a>
<span class="phrase"><a name="math_toolkit.backgrounders.refs.calculators"></a></span><a class="link" href="refs.html#math_toolkit.backgrounders.refs.calculators">Calculators</a>
</h5>
<p>
We found (and used to create cross-check spot values - as far as their accuracy
@@ -121,7 +121,7 @@
</p>
<h5>
<a name="math_toolkit.backgrounders.refs.h2"></a>
<span><a name="math_toolkit.backgrounders.refs.other_libraries"></a></span><a class="link" href="refs.html#math_toolkit.backgrounders.refs.other_libraries">Other
<span class="phrase"><a name="math_toolkit.backgrounders.refs.other_libraries"></a></span><a class="link" href="refs.html#math_toolkit.backgrounders.refs.other_libraries">Other
Libraries</a>
</h5>
<p>
@@ -202,8 +202,9 @@
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang Zhang, Bruno
Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin Sobotta<p>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
Zhang, Bruno Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin
Sobotta<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>

9
doc/sf_and_dist/html/math_toolkit/backgrounders/relative_error.html
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Relative Error</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../backgrounders.html" title="Backgrounders">
<link rel="prev" href="implementation.html" title="Additional Implementation Notes">
@@ -79,7 +79,7 @@
</p>
<a name="zero_error"></a><h5>
<a name="math_toolkit.backgrounders.relative_error.h0"></a>
<span><a name="math_toolkit.backgrounders.relative_error.the_impossibility_of_zero_error"></a></span><a class="link" href="relative_error.html#math_toolkit.backgrounders.relative_error.the_impossibility_of_zero_error">The
<span class="phrase"><a name="math_toolkit.backgrounders.relative_error.the_impossibility_of_zero_error"></a></span><a class="link" href="relative_error.html#math_toolkit.backgrounders.relative_error.the_impossibility_of_zero_error">The
Impossibility of Zero Error</a>
</h5>
<p>
@@ -106,8 +106,9 @@
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang Zhang, Bruno
Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin Sobotta<p>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
Zhang, Bruno Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin
Sobotta<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>

27
doc/sf_and_dist/html/math_toolkit/backgrounders/remez.html
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>The Remez Method</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../backgrounders.html" title="Backgrounders">
<link rel="prev" href="lanczos.html" title="The Lanczos Approximation">
@@ -65,7 +65,7 @@
yields the smallest maximal value of the error function. Chebyshev showed
that there is a unique minimax solution for R(x) that has the following properties:
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
If R(x) is a polynomial of degree N, then there are N+2 unknowns: the
N+1 coefficients of the polynomial, and maximal value of the error function.
@@ -95,7 +95,7 @@
</p>
<h5>
<a name="math_toolkit.backgrounders.remez.h0"></a>
<span><a name="math_toolkit.backgrounders.remez.the_remez_method"></a></span><a class="link" href="remez.html#math_toolkit.backgrounders.remez.the_remez_method">The
<span class="phrase"><a name="math_toolkit.backgrounders.remez.the_remez_method"></a></span><a class="link" href="remez.html#math_toolkit.backgrounders.remez.the_remez_method">The
Remez Method</a>
</h5>
<p>
@@ -175,7 +175,7 @@
</table></div>
<h5>
<a name="math_toolkit.backgrounders.remez.h1"></a>
<span><a name="math_toolkit.backgrounders.remez.remez_step_1"></a></span><a class="link" href="remez.html#math_toolkit.backgrounders.remez.remez_step_1">Remez
<span class="phrase"><a name="math_toolkit.backgrounders.remez.remez_step_1"></a></span><a class="link" href="remez.html#math_toolkit.backgrounders.remez.remez_step_1">Remez
Step 1</a>
</h5>
<p>
@@ -206,7 +206,7 @@
</p>
<h5>
<a name="math_toolkit.backgrounders.remez.h2"></a>
<span><a name="math_toolkit.backgrounders.remez.remez_step_2"></a></span><a class="link" href="remez.html#math_toolkit.backgrounders.remez.remez_step_2">Remez
<span class="phrase"><a name="math_toolkit.backgrounders.remez.remez_step_2"></a></span><a class="link" href="remez.html#math_toolkit.backgrounders.remez.remez_step_2">Remez
Step 2</a>
</h5>
<p>
@@ -235,7 +235,7 @@
</p>
<h5>
<a name="math_toolkit.backgrounders.remez.h3"></a>
<span><a name="math_toolkit.backgrounders.remez.iteration"></a></span><a class="link" href="remez.html#math_toolkit.backgrounders.remez.iteration">Iteration</a>
<span class="phrase"><a name="math_toolkit.backgrounders.remez.iteration"></a></span><a class="link" href="remez.html#math_toolkit.backgrounders.remez.iteration">Iteration</a>
</h5>
<p>
The Remez method then performs steps 1 and 2 above iteratively until the
@@ -251,7 +251,7 @@
</p>
<h5>
<a name="math_toolkit.backgrounders.remez.h4"></a>
<span><a name="math_toolkit.backgrounders.remez.rational_approximations"></a></span><a class="link" href="remez.html#math_toolkit.backgrounders.remez.rational_approximations">Rational
<span class="phrase"><a name="math_toolkit.backgrounders.remez.rational_approximations"></a></span><a class="link" href="remez.html#math_toolkit.backgrounders.remez.rational_approximations">Rational
Approximations</a>
</h5>
<p>
@@ -300,7 +300,7 @@
</p>
<h5>
<a name="math_toolkit.backgrounders.remez.h5"></a>
<span><a name="math_toolkit.backgrounders.remez.practical_considerations"></a></span><a class="link" href="remez.html#math_toolkit.backgrounders.remez.practical_considerations">Practical
<span class="phrase"><a name="math_toolkit.backgrounders.remez.practical_considerations"></a></span><a class="link" href="remez.html#math_toolkit.backgrounders.remez.practical_considerations">Practical
Considerations</a>
</h5>
<p>
@@ -408,7 +408,7 @@
</p>
<h5>
<a name="math_toolkit.backgrounders.remez.h6"></a>
<span><a name="math_toolkit.backgrounders.remez.remez_method_checklist"></a></span><a class="link" href="remez.html#math_toolkit.backgrounders.remez.remez_method_checklist">Remez Method
<span class="phrase"><a name="math_toolkit.backgrounders.remez.remez_method_checklist"></a></span><a class="link" href="remez.html#math_toolkit.backgrounders.remez.remez_method_checklist">Remez Method
Checklist</a>
</h5>
<p>
@@ -416,7 +416,7 @@
wrong, it is by no means an exhaustive list, but is provided in the hopes
that it will prove useful.
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Is the function smooth enough? Can it be better separated into a rapidly
changing part, and an asymptotic part?
@@ -462,7 +462,7 @@
</ul></div>
<h5>
<a name="math_toolkit.backgrounders.remez.h7"></a>
<span><a name="math_toolkit.backgrounders.remez.references"></a></span><a class="link" href="remez.html#math_toolkit.backgrounders.remez.references">References</a>
<span class="phrase"><a name="math_toolkit.backgrounders.remez.references"></a></span><a class="link" href="remez.html#math_toolkit.backgrounders.remez.references">References</a>
</h5>
<p>
The original references for the Remez Method and it's extension to rational
@@ -527,8 +527,9 @@
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang Zhang, Bruno
Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin Sobotta<p>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
Zhang, Bruno Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin
Sobotta<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>

7
doc/sf_and_dist/html/math_toolkit/constants.html
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Mathematical Constants</title>
<link rel="stylesheet" href="../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
<link rel="home" href="../index.html" title="Math Toolkit">
<link rel="up" href="../index.html" title="Math Toolkit">
<link rel="prev" href="extern_c/tr1_ref.html" title="TR1 C Functions Quick Reference">
@@ -44,8 +44,9 @@
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang Zhang, Bruno
Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin Sobotta<p>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
Zhang, Bruno Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin
Sobotta<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>

51
doc/sf_and_dist/html/math_toolkit/constants/FAQ.html
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>FAQs</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../constants.html" title="Mathematical Constants">
<link rel="prev" href="new_const.html" title="Defining New Constants">
@@ -28,7 +28,7 @@
</h3></div></div></div>
<h5>
<a name="math_toolkit.constants.FAQ.h0"></a>
<span><a name="math_toolkit.constants.FAQ.why_are__emphasis_these__emphasis__constants_chosen_"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.why_are__emphasis_these__emphasis__constants_chosen_">Why
<span class="phrase"><a name="math_toolkit.constants.FAQ.why_are__emphasis_these__emphasis__constants_chosen_"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.why_are__emphasis_these__emphasis__constants_chosen_">Why
are <span class="emphasis"><em>these</em></span> Constants Chosen?</a>
</h5>
<p>
@@ -37,7 +37,7 @@
<p>
Some of the criteria we have used are:
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Used in Boost.Math.
</li>
@@ -62,10 +62,10 @@
</ul></div>
<h5>
<a name="math_toolkit.constants.FAQ.h1"></a>
<span><a name="math_toolkit.constants.FAQ.how_are_constants_named_"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.how_are_constants_named_">How
<span class="phrase"><a name="math_toolkit.constants.FAQ.how_are_constants_named_"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.how_are_constants_named_">How
are constants named?</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Not macros, so no upper case.
</li>
@@ -83,7 +83,7 @@
</li>
<li class="listitem">
Abbreviation conventions:
<div class="itemizedlist"><ul class="itemizedlist" type="circle">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: circle; ">
<li class="listitem">
root for square root.
</li>
@@ -123,7 +123,7 @@
</ul></div>
<h5>
<a name="math_toolkit.constants.FAQ.h2"></a>
<span><a name="math_toolkit.constants.FAQ.how_are_the_constants_derived_"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.how_are_the_constants_derived_">How are
<span class="phrase"><a name="math_toolkit.constants.FAQ.how_are_the_constants_derived_"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.how_are_the_constants_derived_">How are
the constants derived?</a>
</h5>
<p>
@@ -133,7 +133,7 @@
</p>
<h5>
<a name="math_toolkit.constants.FAQ.h3"></a>
<span><a name="math_toolkit.constants.FAQ.how_accurate_are_the_constants_"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.how_accurate_are_the_constants_">How
<span class="phrase"><a name="math_toolkit.constants.FAQ.how_accurate_are_the_constants_"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.how_accurate_are_the_constants_">How
Accurate are the constants?</a>
</h5>
<p>
@@ -143,7 +143,7 @@
</p>
<h5>
<a name="math_toolkit.constants.FAQ.h4"></a>
<span><a name="math_toolkit.constants.FAQ.how_are_the_constants_tested_"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.how_are_the_constants_tested_">How are
<span class="phrase"><a name="math_toolkit.constants.FAQ.how_are_the_constants_tested_"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.how_are_the_constants_tested_">How are
the constants tested?</a>
</h5>
<div class="orderedlist"><ol class="orderedlist" type="1">
@@ -184,7 +184,7 @@
</table></div>
<h5>
<a name="math_toolkit.constants.FAQ.h5"></a>
<span><a name="math_toolkit.constants.FAQ.why_is_portability_important_"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.why_is_portability_important_">Why is
<span class="phrase"><a name="math_toolkit.constants.FAQ.why_is_portability_important_"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.why_is_portability_important_">Why is
Portability important?</a>
</h5>
<p>
@@ -207,7 +207,7 @@
</p>
<h5>
<a name="math_toolkit.constants.FAQ.h6"></a>
<span><a name="math_toolkit.constants.FAQ.what_is_the_internal_format_of_the_constants__and_why_"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.what_is_the_internal_format_of_the_constants__and_why_">What
<span class="phrase"><a name="math_toolkit.constants.FAQ.what_is_the_internal_format_of_the_constants__and_why_"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.what_is_the_internal_format_of_the_constants__and_why_">What
is the Internal Format of the constants, and why?</a>
</h5>
<p>
@@ -254,7 +254,7 @@
</p>
<h5>
<a name="math_toolkit.constants.FAQ.h7"></a>
<span><a name="math_toolkit.constants.FAQ.what_floating_point_types_could_i_use_"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.what_floating_point_types_could_i_use_">What
<span class="phrase"><a name="math_toolkit.constants.FAQ.what_floating_point_types_could_i_use_"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.what_floating_point_types_could_i_use_">What
Floating-point Types could I use?</a>
</h5>
<p>
@@ -266,7 +266,7 @@
</p>
<h6>
<a name="math_toolkit.constants.FAQ.h8"></a>
<span><a name="math_toolkit.constants.FAQ.boost_multiprecision_by_christopher_kormanyos"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.boost_multiprecision_by_christopher_kormanyos">Boost.Multiprecision
<span class="phrase"><a name="math_toolkit.constants.FAQ.boost_multiprecision_by_christopher_kormanyos"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.boost_multiprecision_by_christopher_kormanyos">Boost.Multiprecision
by Christopher Kormanyos</a>
</h6>
<p>
@@ -280,7 +280,7 @@
</p>
<h6>
<a name="math_toolkit.constants.FAQ.h9"></a>
<span><a name="math_toolkit.constants.FAQ.boost_cpp_float_by_john_maddock_using_expression_templates"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.boost_cpp_float_by_john_maddock_using_expression_templates">Boost.cpp_float
<span class="phrase"><a name="math_toolkit.constants.FAQ.boost_cpp_float_by_john_maddock_using_expression_templates"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.boost_cpp_float_by_john_maddock_using_expression_templates">Boost.cpp_float
by John Maddock using Expression Templates</a>
</h6>
<p>
@@ -290,7 +290,7 @@
</p>
<h6>
<a name="math_toolkit.constants.FAQ.h10"></a>
<span><a name="math_toolkit.constants.FAQ.ntl_class_quad_float"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.ntl_class_quad_float">NTL
<span class="phrase"><a name="math_toolkit.constants.FAQ.ntl_class_quad_float"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.ntl_class_quad_float">NTL
class quad_float</a>
</h6>
<p>
@@ -332,7 +332,7 @@
</table></div>
<h6>
<a name="math_toolkit.constants.FAQ.h11"></a>
<span><a name="math_toolkit.constants.FAQ.ntl_class_rr"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.ntl_class_rr">NTL
<span class="phrase"><a name="math_toolkit.constants.FAQ.ntl_class_rr"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.ntl_class_rr">NTL
class RR</a>
</h6>
<p>
@@ -349,17 +349,17 @@
</p>
<h6>
<a name="math_toolkit.constants.FAQ.h12"></a>
<span><a name="math_toolkit.constants.FAQ.gmp_and_mpfr"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.gmp_and_mpfr">GMP
<span class="phrase"><a name="math_toolkit.constants.FAQ.gmp_and_mpfr"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.gmp_and_mpfr">GMP
and MPFR</a>
</h6>
<p>
<a href="../../gmplib.org" target="_top">GMP</a> and <a href="http://www.mpfr.org/" target="_top">MPFR</a>
<a href="http://gmplib.org" target="_top">GMP</a> and <a href="http://www.mpfr.org/" target="_top">MPFR</a>
have also been used to compute constants, but are licensed under the <a href="http://www.gnu.org/copyleft/lesser.html" target="_top">Lesser GPL license</a>
and are <span class="bold"><strong>not licensed for commercial use</strong></span>.
</p>
<h5>
<a name="math_toolkit.constants.FAQ.h13"></a>
<span><a name="math_toolkit.constants.FAQ.what_happened_to_a_previous_collection_of_constants_proposed_for_boost_"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.what_happened_to_a_previous_collection_of_constants_proposed_for_boost_">What
<span class="phrase"><a name="math_toolkit.constants.FAQ.what_happened_to_a_previous_collection_of_constants_proposed_for_boost_"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.what_happened_to_a_previous_collection_of_constants_proposed_for_boost_">What
happened to a previous collection of constants proposed for Boost?</a>
</h5>
<p>
@@ -382,7 +382,7 @@
</p>
<h5>
<a name="math_toolkit.constants.FAQ.h14"></a>
<span><a name="math_toolkit.constants.FAQ.why_do_the_constants__internally__have_a_struct_rather_than_a_simple_function_"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.why_do_the_constants__internally__have_a_struct_rather_than_a_simple_function_">Why
<span class="phrase"><a name="math_toolkit.constants.FAQ.why_do_the_constants__internally__have_a_struct_rather_than_a_simple_function_"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.why_do_the_constants__internally__have_a_struct_rather_than_a_simple_function_">Why
do the constants (internally) have a struct rather than a simple function?</a>
</h5>
<p>
@@ -394,7 +394,7 @@
</p>
<h5>
<a name="math_toolkit.constants.FAQ.h15"></a>
<span><a name="math_toolkit.constants.FAQ.where_can_i_find_other_high_precision_constants_"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.where_can_i_find_other_high_precision_constants_">Where
<span class="phrase"><a name="math_toolkit.constants.FAQ.where_can_i_find_other_high_precision_constants_"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.where_can_i_find_other_high_precision_constants_">Where
can I find other high precision constants?</a>
</h5>
<div class="orderedlist"><ol class="orderedlist" type="1">
@@ -437,13 +437,13 @@
</ol></div>
<h5>
<a name="math_toolkit.constants.FAQ.h16"></a>
<span><a name="math_toolkit.constants.FAQ.where_are_physical_constants_"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.where_are_physical_constants_">Where
<span class="phrase"><a name="math_toolkit.constants.FAQ.where_are_physical_constants_"></a></span><a class="link" href="FAQ.html#math_toolkit.constants.FAQ.where_are_physical_constants_">Where
are Physical Constants?</a>
</h5>
<p>
Not here in this Boost.Math collection, because physical constants:
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Are measurements.
</li>
@@ -465,8 +465,9 @@
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang Zhang, Bruno
Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin Sobotta<p>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
Zhang, Bruno Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin
Sobotta<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>

9
doc/sf_and_dist/html/math_toolkit/constants/constants.html
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>The Mathematical Constants</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../constants.html" title="Mathematical Constants">
<link rel="prev" href="tutorial/user_def.html" title="Use With User Defined Types">
@@ -31,7 +31,7 @@
rationale for their inclusion).
</p>
<div class="table">
<a name="math_toolkit.constants.constants.mathematical_constants"></a><p class="title"><b>Table&#160;51.&#160;Mathematical Constants</b></p>
<a name="math_toolkit.constants.constants.mathematical_constants"></a><p class="title"><b>Table&#160;52.&#160;Mathematical Constants</b></p>
<div class="table-contents"><table class="table" summary="Mathematical Constants">
<colgroup>
<col>
@@ -1474,8 +1474,9 @@
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang Zhang, Bruno
Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin Sobotta<p>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
Zhang, Bruno Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin
Sobotta<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>

15
doc/sf_and_dist/html/math_toolkit/constants/intro.html
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Introduction</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../constants.html" title="Mathematical Constants">
<link rel="prev" href="../constants.html" title="Mathematical Constants">
@@ -31,10 +31,10 @@
</p>
<h5>
<a name="math_toolkit.constants.intro.h0"></a>
<span><a name="math_toolkit.constants.intro.why_use_boost_math_mathematical_constants_"></a></span><a class="link" href="intro.html#math_toolkit.constants.intro.why_use_boost_math_mathematical_constants_">Why
<span class="phrase"><a name="math_toolkit.constants.intro.why_use_boost_math_mathematical_constants_"></a></span><a class="link" href="intro.html#math_toolkit.constants.intro.why_use_boost_math_mathematical_constants_">Why
use Boost.Math mathematical constants?</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
Readable. For the very many jobs just using built-in like <code class="computeroutput"><span class="keyword">double</span></code>, you can just write expressions
like
@@ -53,7 +53,7 @@
<li class="listitem">
Accurate - ensuring that the values are as accurate as possible for the
chosen floating-point type
<div class="itemizedlist"><ul class="itemizedlist" type="circle">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: circle; ">
<li class="listitem">
No loss of accuracy from repeated rounding of intermediate computations.
</li>
@@ -74,7 +74,7 @@
<li class="listitem">
Faster - can avoid (re-)calculation at runtime. This can be significant
if:
<div class="itemizedlist"><ul class="itemizedlist" type="circle">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: circle; ">
<li class="listitem">
Functions pow, trig or log are used.
</li>
@@ -103,8 +103,9 @@
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang Zhang, Bruno
Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin Sobotta<p>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
Zhang, Bruno Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin
Sobotta<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>

7
doc/sf_and_dist/html/math_toolkit/constants/new_const.html
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Defining New Constants</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../constants.html" title="Mathematical Constants">
<link rel="prev" href="constants.html" title="The Mathematical Constants">
@@ -252,8 +252,9 @@
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang Zhang, Bruno
Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin Sobotta<p>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
Zhang, Bruno Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin
Sobotta<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>

7
doc/sf_and_dist/html/math_toolkit/constants/tutorial.html
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Tutorial</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../constants.html" title="Mathematical Constants">
<link rel="prev" href="intro.html" title="Introduction">
@@ -37,8 +37,9 @@
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang Zhang, Bruno
Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin Sobotta<p>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
Zhang, Bruno Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin
Sobotta<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>

25
doc/sf_and_dist/html/math_toolkit/constants/tutorial/non_templ.html
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Use in non-template code</title>
<link rel="stylesheet" href="../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../tutorial.html" title="Tutorial">
<link rel="prev" href="../tutorial.html" title="Tutorial">
@@ -29,17 +29,18 @@
</h4></div></div></div>
<p>
When using the math constants at your chosen fixed precision in non-template
code, you can simply add a <code class="computeroutput"><span class="keyword">using</span></code>
declaration, for example, <code class="computeroutput"><span class="keyword">using</span>
code, you can simply add a <code class="computeroutput"><span class="keyword">using</span>
<span class="keyword">namespace</span></code> declaration, for example,
<code class="computeroutput"><span class="keyword">using</span> <span class="keyword">namespace</span>
<span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">double_constants</span></code>, to make the constants
of the correct precision for your code visible in the current scope, and
then use each constant <span class="emphasis"><em>as a simple variable</em></span>:
then use each constant <span class="emphasis"><em>as a simple variable - sans brackets</em></span>:
</p>
<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">constants</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">constants</span><span class="special">/</span><span class="identifier">constants</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
<span class="keyword">double</span> <span class="identifier">area</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">r</span><span class="special">)</span>
<span class="special">{</span>
<span class="keyword">using</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">double_constants</span><span class="special">;</span>
<span class="keyword">using</span> <span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">double_constants</span><span class="special">;</span>
<span class="keyword">return</span> <span class="identifier">pi</span> <span class="special">*</span> <span class="identifier">r</span> <span class="special">*</span> <span class="identifier">r</span><span class="special">;</span>
<span class="special">}</span>
</pre>
@@ -48,11 +49,11 @@
rather than a <code class="computeroutput"><span class="keyword">double</span></code>, we could
have written instead:
</p>
<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">constants</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">constants</span><span class="special">/</span><span class="identifier">constants</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
<span class="keyword">float</span> <span class="identifier">area</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">r</span><span class="special">)</span>
<span class="special">{</span>
<span class="keyword">using</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">float_constants</span><span class="special">;</span>
<span class="keyword">using</span> <span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">float_constants</span><span class="special">;</span>
<span class="keyword">return</span> <span class="identifier">pi</span> <span class="special">*</span> <span class="identifier">r</span> <span class="special">*</span> <span class="identifier">r</span><span class="special">;</span>
<span class="special">}</span>
</pre>
@@ -64,11 +65,15 @@
<p>
You can see the full list of available constants at <a class="link" href="../constants.html" title="The Mathematical Constants">math_toolkit.constants.constants</a>.
</p>
<p>
Some examples of using constants are at <a href="../../../../../../example/constants_eg1.cpp" target="_top">constants_eg1</a>.
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang Zhang, Bruno
Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin Sobotta<p>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
Zhang, Bruno Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin
Sobotta<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>

9
doc/sf_and_dist/html/math_toolkit/constants/tutorial/templ.html
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Use in template code</title>
<link rel="stylesheet" href="../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../tutorial.html" title="Tutorial">
<link rel="prev" href="non_templ.html" title="Use in non-template code">
@@ -33,7 +33,7 @@
We can do this by calling the function-template versions, <code class="computeroutput"><span class="identifier">pi</span><span class="special">&lt;</span><span class="identifier">FPType</span><span class="special">&gt;()</span></code>,
of the constants like this:
</p>
<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">constants</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">constants</span><span class="special">/</span><span class="identifier">constants</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Real</span><span class="special">&gt;</span>
<span class="identifier">Real</span> <span class="identifier">area</span><span class="special">(</span><span class="identifier">Real</span> <span class="identifier">r</span><span class="special">)</span>
@@ -149,8 +149,9 @@
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang Zhang, Bruno
Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin Sobotta<p>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
Zhang, Bruno Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin
Sobotta<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>

19
doc/sf_and_dist/html/math_toolkit/constants/tutorial/user_def.html
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Use With User Defined Types</title>
<link rel="stylesheet" href="../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../tutorial.html" title="Tutorial">
<link rel="prev" href="templ.html" title="Use in template code">
@@ -31,7 +31,7 @@
The syntax for using the function-call constants with user-defined types
is the same as it is in the template class, which is to say we use:
</p>
<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">constants</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">constants</span><span class="special">/</span><span class="identifier">constants</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
<span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">constants</span><span class="special">::</span><span class="identifier">pi</span><span class="special">&lt;</span><span class="identifier">UserDefinedType</span><span class="special">&gt;();</span>
</pre>
@@ -40,10 +40,10 @@
than that of the built-in floating pointer types, how the value returned
is created is as follows:
</p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
If the precision of the type is known at compile time:
<div class="itemizedlist"><ul class="itemizedlist" type="circle">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: circle; ">
<li class="listitem">
If the precision is less than or equal to that of a <code class="computeroutput"><span class="keyword">float</span></code> and the type is constructable
from a <code class="computeroutput"><span class="keyword">float</span></code> then
@@ -79,7 +79,7 @@
</li>
<li class="listitem">
If the precision is unknown at compile time then:
<div class="itemizedlist"><ul class="itemizedlist" type="circle">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: circle; ">
<li class="listitem">
If the runtime precision (obtained from a call to <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">tools</span><span class="special">::</span><span class="identifier">digits</span><span class="special">&lt;</span><span class="identifier">T</span><span class="special">&gt;()</span></code>)
is less than 100 decimal digits, then the constant is constructed
@@ -229,7 +229,7 @@
</table></div>
<h6>
<a name="math_toolkit.constants.tutorial.user_def.h0"></a>
<span><a name="math_toolkit.constants.tutorial.user_def.custom_specializing_a_constant"></a></span><a class="link" href="user_def.html#math_toolkit.constants.tutorial.user_def.custom_specializing_a_constant">Custom
<span class="phrase"><a name="math_toolkit.constants.tutorial.user_def.custom_specializing_a_constant"></a></span><a class="link" href="user_def.html#math_toolkit.constants.tutorial.user_def.custom_specializing_a_constant">Custom
Specializing a constant</a>
</h6>
<p>
@@ -260,7 +260,7 @@
</pre>
<h6>
<a name="math_toolkit.constants.tutorial.user_def.h1"></a>
<span><a name="math_toolkit.constants.tutorial.user_def.diagnosing_what_meta_programmed_code_is_doing"></a></span><a class="link" href="user_def.html#math_toolkit.constants.tutorial.user_def.diagnosing_what_meta_programmed_code_is_doing">Diagnosing
<span class="phrase"><a name="math_toolkit.constants.tutorial.user_def.diagnosing_what_meta_programmed_code_is_doing"></a></span><a class="link" href="user_def.html#math_toolkit.constants.tutorial.user_def.diagnosing_what_meta_programmed_code_is_doing">Diagnosing
what meta-programmed code is doing</a>
</h6>
<p>
@@ -298,8 +298,9 @@ the constant will be constructed from a string on each call.
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang Zhang, Bruno
Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin Sobotta<p>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
Zhang, Bruno Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin
Sobotta<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>

7
doc/sf_and_dist/html/math_toolkit/dist.html
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Statistical Distributions and Functions</title>
<link rel="stylesheet" href="../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
<link rel="home" href="../index.html" title="Math Toolkit">
<link rel="up" href="../index.html" title="Math Toolkit">
<link rel="prev" href="main_overview/contact.html" title="Contact Info and Support">
@@ -209,8 +209,9 @@
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang Zhang, Bruno
Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin Sobotta<p>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
Zhang, Bruno Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin
Sobotta<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>

7
doc/sf_and_dist/html/math_toolkit/dist/dist_ref.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Statistical Distributions Reference</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
<link rel="home" href="../../index.html" title="Math Toolkit">
<link rel="up" href="../dist.html" title="Statistical Distributions and Functions">
<link rel="prev" href="stat_tut/dist_params.html" title="Discrete Probability Distributions">
@@ -98,8 +98,9 @@
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang Zhang, Bruno
Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin Sobotta<p>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
Zhang, Bruno Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin
Sobotta<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>

13
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dist_algorithms.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Distribution Algorithms</title>
<link rel="stylesheet" href="../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../dist_ref.html" title="Statistical Distributions Reference">
<link rel="prev" href="dists/weibull_dist.html" title="Weibull Distribution">
@@ -29,7 +29,7 @@
</h4></div></div></div>
<h5>
<a name="math_toolkit.dist.dist_ref.dist_algorithms.h0"></a>
<span><a name="math_toolkit.dist.dist_ref.dist_algorithms.finding_the_location_and_scale_for_normal_and_similar_distributions"></a></span><a class="link" href="dist_algorithms.html#math_toolkit.dist.dist_ref.dist_algorithms.finding_the_location_and_scale_for_normal_and_similar_distributions">Finding
<span class="phrase"><a name="math_toolkit.dist.dist_ref.dist_algorithms.finding_the_location_and_scale_for_normal_and_similar_distributions"></a></span><a class="link" href="dist_algorithms.html#math_toolkit.dist.dist_ref.dist_algorithms.finding_the_location_and_scale_for_normal_and_similar_distributions">Finding
the Location and Scale for Normal and similar distributions</a>
</h5>
<p>
@@ -51,7 +51,7 @@
</pre>
<h5>
<a name="math_toolkit.dist.dist_ref.dist_algorithms.h1"></a>
<span><a name="math_toolkit.dist.dist_ref.dist_algorithms.find_location_function"></a></span><a class="link" href="dist_algorithms.html#math_toolkit.dist.dist_ref.dist_algorithms.find_location_function">find_location
<span class="phrase"><a name="math_toolkit.dist.dist_ref.dist_algorithms.find_location_function"></a></span><a class="link" href="dist_algorithms.html#math_toolkit.dist.dist_ref.dist_algorithms.find_location_function">find_location
function</a>
</h5>
<p>
@@ -80,7 +80,7 @@
</pre>
<h5>
<a name="math_toolkit.dist.dist_ref.dist_algorithms.h2"></a>
<span><a name="math_toolkit.dist.dist_ref.dist_algorithms.find_scale_function"></a></span><a class="link" href="dist_algorithms.html#math_toolkit.dist.dist_ref.dist_algorithms.find_scale_function">find_scale
<span class="phrase"><a name="math_toolkit.dist.dist_ref.dist_algorithms.find_scale_function"></a></span><a class="link" href="dist_algorithms.html#math_toolkit.dist.dist_ref.dist_algorithms.find_scale_function">find_scale
function</a>
</h5>
<p>
@@ -128,8 +128,9 @@
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang Zhang, Bruno
Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin Sobotta<p>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
Zhang, Bruno Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin
Sobotta<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>

7
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Distributions</title>
<link rel="stylesheet" href="../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
<link rel="home" href="../../../index.html" title="Math Toolkit">
<link rel="up" href="../dist_ref.html" title="Statistical Distributions Reference">
<link rel="prev" href="nmp.html" title="Non-Member Properties">
@@ -91,8 +91,9 @@
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang Zhang, Bruno
Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin Sobotta<p>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
Zhang, Bruno Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin
Sobotta<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>

24
doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/bernoulli_dist.html vendored
View File

@@ -3,7 +3,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>Bernoulli Distribution</title>
<link rel="stylesheet" href="../../../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
<link rel="home" href="../../../../index.html" title="Math Toolkit">
<link rel="up" href="../dists.html" title="Distributions">
<link rel="prev" href="../dists.html" title="Distributions">
@@ -87,7 +87,7 @@
</p>
<h5>
<a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.h0"></a>
<span><a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.member_functions"></a></span><a class="link" href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.member_functions">Member
<span class="phrase"><a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.member_functions"></a></span><a class="link" href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.member_functions">Member
Functions</a>
</h5>
<pre class="programlisting"><span class="identifier">bernoulli_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">p</span><span class="special">);</span>
@@ -103,7 +103,7 @@
</p>
<h5>
<a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.h1"></a>
<span><a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.non_member_accessors"></a></span><a class="link" href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.non_member_accessors">Non-member
<span class="phrase"><a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.non_member_accessors"></a></span><a class="link" href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
<p>
@@ -128,7 +128,7 @@
</p>
<h5>
<a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.h2"></a>
<span><a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.accuracy"></a></span><a class="link" href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.accuracy">Accuracy</a>
<span class="phrase"><a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.accuracy"></a></span><a class="link" href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.accuracy">Accuracy</a>
</h5>
<p>
The Bernoulli distribution is implemented with simple arithmetic operators
@@ -136,7 +136,7 @@
</p>
<h5>
<a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.h3"></a>
<span><a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.implementation"></a></span><a class="link" href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.implementation">Implementation</a>
<span class="phrase"><a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.implementation"></a></span><a class="link" href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.implementation">Implementation</a>
</h5>
<p>
In the following table <span class="emphasis"><em>p</em></span> is the probability of success
@@ -327,23 +327,25 @@
</table></div>
<h5>
<a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.h4"></a>
<span><a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.references"></a></span><a class="link" href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.references">References</a>
<span class="phrase"><a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.references"></a></span><a class="link" href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
<a href="http://en.wikipedia.org/wiki/Bernoulli_distribution" target="_top">Wikpedia
Bernoulli distribution</a>
</li>
<li class="listitem">
<a href="../../../../Weisstein," target="_top">Eric W. "Bernoulli Distribution."
From MathWorld--A Wolfram Web Resource.</a>
<a href="http://mathworld.wolfram.com/BernoulliDistribution.html" target="_top">Weisstein,
Eric W. "Bernoulli Distribution." From MathWorld--A Wolfram
Web Resource.</a>
</li>
</ul></div>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang Zhang, Bruno
Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin Sobotta<p>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010, 2012 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang
Zhang, Bruno Lalande, Johan R&#229;de, Gautam Sewani, Thijs van den Berg and Benjamin
Sobotta<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>

Some files were not shown because too many files have changed in this diff Show More