Final (doc) update to Landau.

doc/distributions/landau.qbk

@@ -30,7 +30,7 @@ with shape parameter [alpha]=1, [beta]=1.
 [@http://en.wikipedia.org/wiki/Probability_distribution probability distribution function PDF]
 given by:
 
-[equation landau_ref1]
+[equation landau_ref1]  [/f(x; \mu, c)=\frac{1}{\pi c} \int_{0}^{\infty} \exp(-t) \cos \left( t \left( \frac{x-\mu}{c}\right) + \frac{2t}{\pi} \log \left( \frac{t}{c} \right)  \right) dt]
 
 The location parameter [mu] is the location of the distribution,
 while the scale parameter [c] determines the width of the distribution,
@@ -97,6 +97,18 @@ The domain of the random variable is \[-[max_value], +[min_value]\].
 
 The error is within 4 epsilon except for the rapidly decaying left tail.
 
+Errors in the PDF at 64-bit double precision:
+
+[$../graphs/landau_pdf_accuracy_64.png]
+
+Errors in the CDF at 64-bit double precision:
+
+[$../graphs/landau_cdf_accuracy_64.png]
+
+Errors in the CDF-complement at 64-bit double precision:
+
+[$../graphs/landau_ccdf_accuracy_64.png]
+
 [h4 Implementation]
 
 See references.
@@ -110,6 +122,7 @@ DOI: 10.36227/techrxiv.171822215.53612870/v2, 2024.
 [endsect][/section:landau_dist landau]
 
 [/ landau.qbk
+  Copyright Takuma Yoshimura 2024.
   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).

doc/equations/landau_ref1.svg

@@ -0,0 +1,88 @@
+<?xml version='1.0' encoding='UTF-8'?>
+<!-- This file was generated by dvisvgm 3.0.3 -->
+<svg version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' width='269.290323pt' height='23.910579pt' viewBox='98.97879 63.760885 269.290323 23.910579'>
+<defs>
+<path id='g0-0' d='M6.56538-2.291407C6.734745-2.291407 6.914072-2.291407 6.914072-2.49066S6.734745-2.689913 6.56538-2.689913H1.175592C1.006227-2.689913 .826899-2.689913 .826899-2.49066S1.006227-2.291407 1.175592-2.291407H6.56538Z'/>
+<path id='g3-40' d='M3.297634 2.391034C3.297634 2.361146 3.297634 2.34122 3.128269 2.171856C1.882939 .916563 1.564134-.966376 1.564134-2.49066C1.564134-4.224159 1.942715-5.957659 3.16812-7.202989C3.297634-7.32254 3.297634-7.342466 3.297634-7.372354C3.297634-7.442092 3.257783-7.47198 3.198007-7.47198C3.098381-7.47198 2.201743-6.794521 1.613948-5.529265C1.105853-4.433375 .986301-3.327522 .986301-2.49066C.986301-1.713574 1.09589-.508095 1.643836 .617684C2.241594 1.843088 3.098381 2.49066 3.198007 2.49066C3.257783 2.49066 3.297634 2.460772 3.297634 2.391034Z'/>
+<path id='g3-41' d='M2.879203-2.49066C2.879203-3.267746 2.769614-4.473225 2.221669-5.599004C1.62391-6.824408 .767123-7.47198 .667497-7.47198C.607721-7.47198 .56787-7.43213 .56787-7.372354C.56787-7.342466 .56787-7.32254 .757161-7.143213C1.733499-6.156912 2.30137-4.572852 2.30137-2.49066C2.30137-.787049 1.932752 .966376 .697385 2.221669C.56787 2.34122 .56787 2.361146 .56787 2.391034C.56787 2.450809 .607721 2.49066 .667497 2.49066C.767123 2.49066 1.663761 1.8132 2.251557 .547945C2.759651-.547945 2.879203-1.653798 2.879203-2.49066Z'/>
+<path id='g3-43' d='M4.07472-2.291407H6.854296C6.993773-2.291407 7.183064-2.291407 7.183064-2.49066S6.993773-2.689913 6.854296-2.689913H4.07472V-5.479452C4.07472-5.618929 4.07472-5.808219 3.875467-5.808219S3.676214-5.618929 3.676214-5.479452V-2.689913H.886675C.747198-2.689913 .557908-2.689913 .557908-2.49066S.747198-2.291407 .886675-2.291407H3.676214V.498132C3.676214 .637609 3.676214 .826899 3.875467 .826899S4.07472 .637609 4.07472 .498132V-2.291407Z'/>
+<path id='g3-49' d='M2.929016-6.37609C2.929016-6.615193 2.929016-6.635118 2.699875-6.635118C2.082192-5.997509 1.205479-5.997509 .886675-5.997509V-5.688667C1.085928-5.688667 1.673724-5.688667 2.191781-5.947696V-.787049C2.191781-.428394 2.161893-.308842 1.265255-.308842H.946451V0C1.295143-.029888 2.161893-.029888 2.560399-.029888S3.825654-.029888 4.174346 0V-.308842H3.855542C2.958904-.308842 2.929016-.418431 2.929016-.787049V-6.37609Z'/>
+<path id='g3-50' d='M1.265255-.767123L2.321295-1.793275C3.875467-3.16812 4.473225-3.706102 4.473225-4.702366C4.473225-5.838107 3.576588-6.635118 2.361146-6.635118C1.235367-6.635118 .498132-5.718555 .498132-4.83188C.498132-4.273973 .996264-4.273973 1.026152-4.273973C1.195517-4.273973 1.544209-4.393524 1.544209-4.801993C1.544209-5.061021 1.364882-5.32005 1.016189-5.32005C.936488-5.32005 .916563-5.32005 .886675-5.310087C1.115816-5.957659 1.653798-6.326276 2.231631-6.326276C3.138232-6.326276 3.566625-5.519303 3.566625-4.702366C3.566625-3.905355 3.068493-3.118306 2.520548-2.500623L.607721-.368618C.498132-.259029 .498132-.239103 .498132 0H4.194271L4.473225-1.733499H4.224159C4.174346-1.43462 4.104608-.996264 4.004981-.846824C3.935243-.767123 3.277709-.767123 3.058531-.767123H1.265255Z'/>
+<path id='g3-59' d='M1.912827-3.765878C1.912827-4.054795 1.673724-4.293898 1.384807-4.293898S.856787-4.054795 .856787-3.765878S1.09589-3.237858 1.384807-3.237858S1.912827-3.476961 1.912827-3.765878ZM1.723537-.109589C1.723537 .169365 1.723537 .946451 1.085928 1.683686C1.016189 1.763387 1.016189 1.783313 1.016189 1.8132C1.016189 1.882939 1.066002 1.92279 1.115816 1.92279C1.225405 1.92279 1.942715 1.125778 1.942715-.029888C1.942715-.318804 1.92279-1.05604 1.384807-1.05604C1.036115-1.05604 .856787-.787049 .856787-.52802S1.026152 0 1.384807 0C1.43462 0 1.454545 0 1.464508-.009963C1.534247-.019925 1.643836-.039851 1.723537-.109589Z'/>
+<path id='g3-61' d='M6.844334-3.257783C6.993773-3.257783 7.183064-3.257783 7.183064-3.457036S6.993773-3.656289 6.854296-3.656289H.886675C.747198-3.656289 .557908-3.656289 .557908-3.457036S.747198-3.257783 .896638-3.257783H6.844334ZM6.854296-1.325031C6.993773-1.325031 7.183064-1.325031 7.183064-1.524284S6.993773-1.723537 6.844334-1.723537H.896638C.747198-1.723537 .557908-1.723537 .557908-1.524284S.747198-1.325031 .886675-1.325031H6.854296Z'/>
+<path id='g3-99' d='M1.165629-2.171856C1.165629-3.795766 1.982565-4.214197 2.510585-4.214197C2.600249-4.214197 3.227895-4.204234 3.576588-3.845579C3.16812-3.815691 3.108344-3.516812 3.108344-3.387298C3.108344-3.128269 3.287671-2.929016 3.566625-2.929016C3.825654-2.929016 4.024907-3.098381 4.024907-3.39726C4.024907-4.07472 3.267746-4.463263 2.500623-4.463263C1.255293-4.463263 .33873-3.387298 .33873-2.15193C.33873-.876712 1.325031 .109589 2.480697 .109589C3.815691 .109589 4.134496-1.085928 4.134496-1.185554S4.034869-1.285181 4.004981-1.285181C3.915318-1.285181 3.895392-1.24533 3.875467-1.185554C3.58655-.259029 2.938979-.139477 2.570361-.139477C2.042341-.139477 1.165629-.56787 1.165629-2.171856Z'/>
+<path id='g3-101' d='M1.115816-2.510585C1.175592-3.995019 2.012453-4.244085 2.351183-4.244085C3.377335-4.244085 3.476961-2.899128 3.476961-2.510585H1.115816ZM1.105853-2.30137H3.88543C4.104608-2.30137 4.134496-2.30137 4.134496-2.510585C4.134496-3.496887 3.596513-4.463263 2.351183-4.463263C1.195517-4.463263 .278954-3.437111 .278954-2.191781C.278954-.856787 1.325031 .109589 2.470735 .109589C3.686177 .109589 4.134496-.996264 4.134496-1.185554C4.134496-1.285181 4.054795-1.305106 4.004981-1.305106C3.915318-1.305106 3.895392-1.24533 3.875467-1.165629C3.526775-.139477 2.630137-.139477 2.530511-.139477C2.032379-.139477 1.633873-.438356 1.404732-.806974C1.105853-1.285181 1.105853-1.942715 1.105853-2.30137Z'/>
+<path id='g3-103' d='M2.211706-1.713574C1.344956-1.713574 1.344956-2.709838 1.344956-2.938979C1.344956-3.20797 1.354919-3.526775 1.504359-3.775841C1.58406-3.895392 1.8132-4.174346 2.211706-4.174346C3.078456-4.174346 3.078456-3.178082 3.078456-2.948941C3.078456-2.67995 3.068493-2.361146 2.919054-2.11208C2.839352-1.992528 2.610212-1.713574 2.211706-1.713574ZM1.05604-1.325031C1.05604-1.364882 1.05604-1.594022 1.225405-1.793275C1.613948-1.514321 2.022416-1.484433 2.211706-1.484433C3.138232-1.484433 3.825654-2.171856 3.825654-2.938979C3.825654-3.307597 3.666252-3.676214 3.417186-3.905355C3.775841-4.244085 4.134496-4.293898 4.313823-4.293898C4.333748-4.293898 4.383562-4.293898 4.41345-4.283935C4.303861-4.244085 4.254047-4.134496 4.254047-4.014944C4.254047-3.845579 4.383562-3.726027 4.542964-3.726027C4.64259-3.726027 4.83188-3.795766 4.83188-4.024907C4.83188-4.194271 4.712329-4.513076 4.323786-4.513076C4.124533-4.513076 3.686177-4.4533 3.267746-4.044832C2.849315-4.373599 2.430884-4.403487 2.211706-4.403487C1.285181-4.403487 .597758-3.716065 .597758-2.948941C.597758-2.510585 .816936-2.132005 1.066002-1.92279C.936488-1.77335 .757161-1.444583 .757161-1.09589C.757161-.787049 .886675-.408468 1.195517-.209215C.597758-.039851 .278954 .388543 .278954 .787049C.278954 1.504359 1.265255 2.052304 2.480697 2.052304C3.656289 2.052304 4.692403 1.544209 4.692403 .767123C4.692403 .418431 4.552927-.089664 4.044832-.368618C3.516812-.647572 2.938979-.647572 2.331258-.647572C2.082192-.647572 1.653798-.647572 1.58406-.657534C1.265255-.697385 1.05604-1.006227 1.05604-1.325031ZM2.49066 1.823163C1.484433 1.823163 .797011 1.315068 .797011 .787049C.797011 .328767 1.175592-.039851 1.613948-.069738H2.201743C3.058531-.069738 4.174346-.069738 4.174346 .787049C4.174346 1.325031 3.466999 1.823163 2.49066 1.823163Z'/>
+<path id='g3-108' d='M1.763387-6.914072L.328767-6.804483V-6.495641C1.026152-6.495641 1.105853-6.425903 1.105853-5.937733V-.757161C1.105853-.308842 .996264-.308842 .328767-.308842V0C.657534-.009963 1.185554-.029888 1.43462-.029888S2.171856-.009963 2.540473 0V-.308842C1.872976-.308842 1.763387-.308842 1.763387-.757161V-6.914072Z'/>
+<path id='g3-111' d='M4.692403-2.132005C4.692403-3.407223 3.696139-4.463263 2.49066-4.463263C1.24533-4.463263 .278954-3.377335 .278954-2.132005C.278954-.846824 1.315068 .109589 2.480697 .109589C3.686177 .109589 4.692403-.86675 4.692403-2.132005ZM2.49066-.139477C2.062267-.139477 1.62391-.348692 1.354919-.806974C1.105853-1.24533 1.105853-1.853051 1.105853-2.211706C1.105853-2.600249 1.105853-3.138232 1.344956-3.576588C1.613948-4.034869 2.082192-4.244085 2.480697-4.244085C2.919054-4.244085 3.347447-4.024907 3.606476-3.596513S3.865504-2.590286 3.865504-2.211706C3.865504-1.853051 3.865504-1.315068 3.646326-.876712C3.427148-.428394 2.988792-.139477 2.49066-.139477Z'/>
+<path id='g3-112' d='M1.713574-3.745953V-4.403487L.278954-4.293898V-3.985056C.986301-3.985056 1.05604-3.92528 1.05604-3.486924V1.175592C1.05604 1.62391 .946451 1.62391 .278954 1.62391V1.932752C.617684 1.92279 1.135741 1.902864 1.39477 1.902864C1.663761 1.902864 2.171856 1.92279 2.520548 1.932752V1.62391C1.853051 1.62391 1.743462 1.62391 1.743462 1.175592V-.498132V-.587796C1.793275-.428394 2.211706 .109589 2.968867 .109589C4.154421 .109589 5.190535-.86675 5.190535-2.15193C5.190535-3.417186 4.224159-4.403487 3.108344-4.403487C2.331258-4.403487 1.912827-3.965131 1.713574-3.745953ZM1.743462-1.135741V-3.35741C2.032379-3.865504 2.520548-4.154421 3.028643-4.154421C3.755915-4.154421 4.363636-3.277709 4.363636-2.15193C4.363636-.946451 3.666252-.109589 2.929016-.109589C2.530511-.109589 2.15193-.308842 1.882939-.71731C1.743462-.926526 1.743462-.936488 1.743462-1.135741Z'/>
+<path id='g3-115' d='M2.072229-1.932752C2.291407-1.892902 3.108344-1.733499 3.108344-1.016189C3.108344-.508095 2.759651-.109589 1.982565-.109589C1.145704-.109589 .787049-.67746 .597758-1.524284C.56787-1.653798 .557908-1.693649 .458281-1.693649C.328767-1.693649 .328767-1.62391 .328767-1.444583V-.129514C.328767 .039851 .328767 .109589 .438356 .109589C.488169 .109589 .498132 .099626 .687422-.089664C.707347-.109589 .707347-.129514 .886675-.318804C1.325031 .099626 1.77335 .109589 1.982565 .109589C3.128269 .109589 3.58655-.557908 3.58655-1.275218C3.58655-1.803238 3.287671-2.102117 3.16812-2.221669C2.839352-2.540473 2.450809-2.620174 2.032379-2.699875C1.474471-2.809465 .806974-2.938979 .806974-3.516812C.806974-3.865504 1.066002-4.273973 1.92279-4.273973C3.01868-4.273973 3.068493-3.377335 3.088418-3.068493C3.098381-2.978829 3.188045-2.978829 3.20797-2.978829C3.337484-2.978829 3.337484-3.028643 3.337484-3.217933V-4.224159C3.337484-4.393524 3.337484-4.463263 3.227895-4.463263C3.178082-4.463263 3.158157-4.463263 3.028643-4.343711C2.998755-4.303861 2.899128-4.214197 2.859278-4.184309C2.480697-4.463263 2.072229-4.463263 1.92279-4.463263C.707347-4.463263 .328767-3.795766 .328767-3.237858C.328767-2.889166 .488169-2.610212 .757161-2.391034C1.075965-2.132005 1.354919-2.072229 2.072229-1.932752Z'/>
+<path id='g3-120' d='M2.859278-2.34122C3.158157-2.719801 3.536737-3.20797 3.775841-3.466999C4.084682-3.825654 4.493151-3.975093 4.961395-3.985056V-4.293898C4.702366-4.273973 4.403487-4.26401 4.144458-4.26401C3.845579-4.26401 3.317559-4.283935 3.188045-4.293898V-3.985056C3.39726-3.965131 3.476961-3.835616 3.476961-3.676214S3.377335-3.387298 3.327522-3.327522L2.709838-2.550436L1.932752-3.556663C1.843088-3.656289 1.843088-3.676214 1.843088-3.73599C1.843088-3.88543 1.992528-3.975093 2.191781-3.985056V-4.293898C1.932752-4.283935 1.275218-4.26401 1.115816-4.26401C.9066-4.26401 .438356-4.273973 .169365-4.293898V-3.985056C.86675-3.985056 .876712-3.975093 1.344956-3.377335L2.331258-2.092154L1.39477-.9066C.916563-.328767 .328767-.308842 .119552-.308842V0C.37858-.019925 .687422-.029888 .946451-.029888C1.235367-.029888 1.653798-.009963 1.892902 0V-.308842C1.673724-.33873 1.603985-.468244 1.603985-.617684C1.603985-.836862 1.892902-1.165629 2.500623-1.882939L3.257783-.886675C3.337484-.777086 3.466999-.617684 3.466999-.557908C3.466999-.468244 3.377335-.318804 3.108344-.308842V0C3.407223-.009963 3.965131-.029888 4.184309-.029888C4.4533-.029888 4.841843-.019925 5.140722 0V-.308842C4.60274-.308842 4.423412-.328767 4.194271-.617684L2.859278-2.34122Z'/>
+<path id='g1-49' d='M4.030884-1.910834C3.66127-2.343213 3.549689-2.461768 3.284682-2.650062C2.859278-2.956912 2.412951-3.075467 2.02939-3.075467C1.164633-3.075467 .536986-2.336239 .536986-1.499377C.536986-.683437 1.136737 .069738 2.008468 .069738C2.977833 .069738 3.654296-.72528 3.905355-1.094894C4.274969-.662516 4.38655-.54396 4.651557-.355666C5.076961-.048817 5.523288 .069738 5.906849 .069738C6.771606 .069738 7.399253-.669489 7.399253-1.506351C7.399253-2.322291 6.799502-3.075467 5.927771-3.075467C4.958406-3.075467 4.281943-2.280448 4.030884-1.910834ZM4.254047-1.652802C4.533001-2.106102 5.139726-2.810461 5.990535-2.810461C6.708842-2.810461 7.203985-2.175841 7.203985-1.506351S6.660025-.313823 6.018431-.313823C5.369863-.313823 4.923537-.843836 4.254047-1.652802ZM3.682192-1.352927C3.403238-.899626 2.796513-.195268 1.945704-.195268C1.227397-.195268 .732254-.829888 .732254-1.499377S1.276214-2.691905 1.917808-2.691905C2.566376-2.691905 3.012702-2.161893 3.682192-1.352927Z'/>
+<path id='g4-48' d='M3.598506-2.224658C3.598506-2.991781 3.507846-3.542715 3.187049-4.030884C2.970859-4.351681 2.538481-4.630635 1.980573-4.630635C.36264-4.630635 .36264-2.726775 .36264-2.224658S.36264 .139477 1.980573 .139477S3.598506-1.72254 3.598506-2.224658ZM1.980573-.055791C1.659776-.055791 1.234371-.244085 1.094894-.81594C.99726-1.227397 .99726-1.799253 .99726-2.315318C.99726-2.824408 .99726-3.354421 1.101868-3.737983C1.248319-4.288917 1.694645-4.435367 1.980573-4.435367C2.357161-4.435367 2.719801-4.20523 2.84533-3.800747C2.956912-3.424159 2.963885-2.922042 2.963885-2.315318C2.963885-1.799253 2.963885-1.283188 2.873225-.843836C2.733748-.209215 2.259527-.055791 1.980573-.055791Z'/>
+<path id='g2-22' d='M2.30137-3.496887C2.351183-3.706102 2.450809-4.084682 2.450809-4.134496C2.450809-4.303861 2.331258-4.403487 2.161893-4.403487C2.132005-4.403487 1.853051-4.393524 1.763387-4.044832L.328767 1.723537C.298879 1.843088 .298879 1.863014 .298879 1.882939C.298879 2.032379 .408468 2.15193 .577833 2.15193C.787049 2.15193 .9066 1.972603 .926526 1.942715C.966376 1.853051 1.09589 1.334994 1.474471-.199253C1.793275 .069738 2.241594 .109589 2.440847 .109589C3.138232 .109589 3.526775-.33873 3.765878-.617684C3.855542-.169365 4.224159 .109589 4.662516 .109589C5.011208 .109589 5.240349-.119552 5.399751-.438356C5.569116-.797011 5.69863-1.404732 5.69863-1.424658C5.69863-1.524284 5.608966-1.524284 5.579078-1.524284C5.479452-1.524284 5.469489-1.484433 5.439601-1.344956C5.270237-.697385 5.090909-.109589 4.682441-.109589C4.41345-.109589 4.383562-.368618 4.383562-.56787C4.383562-.787049 4.503113-1.255293 4.582814-1.603985L4.861768-2.67995C4.891656-2.82939 4.991283-3.20797 5.031133-3.35741C5.080946-3.58655 5.180573-3.965131 5.180573-4.024907C5.180573-4.204234 5.041096-4.293898 4.891656-4.293898C4.841843-4.293898 4.582814-4.283935 4.503113-3.945205L4.034869-2.082192C3.915318-1.58406 3.805729-1.165629 3.775841-1.066002C3.765878-1.016189 3.287671-.109589 2.480697-.109589C1.982565-.109589 1.743462-.438356 1.743462-.976339C1.743462-1.265255 1.8132-1.544209 1.882939-1.823163L2.30137-3.496887Z'/>
+<path id='g2-25' d='M2.6401-3.716065H3.765878C3.437111-2.241594 3.347447-1.8132 3.347447-1.145704C3.347447-.996264 3.347447-.727273 3.427148-.388543C3.526775 .049813 3.636364 .109589 3.785803 .109589C3.985056 .109589 4.194271-.069738 4.194271-.268991C4.194271-.328767 4.194271-.348692 4.134496-.488169C3.845579-1.205479 3.845579-1.853051 3.845579-2.132005C3.845579-2.660025 3.915318-3.198007 4.024907-3.716065H5.160648C5.290162-3.716065 5.648817-3.716065 5.648817-4.054795C5.648817-4.293898 5.439601-4.293898 5.250311-4.293898H1.912827C1.693649-4.293898 1.315068-4.293898 .876712-3.825654C.52802-3.437111 .268991-2.978829 .268991-2.929016C.268991-2.919054 .268991-2.82939 .388543-2.82939C.468244-2.82939 .488169-2.86924 .547945-2.948941C1.036115-3.716065 1.613948-3.716065 1.8132-3.716065H2.381071C2.062267-2.510585 1.524284-1.305106 1.105853-.398506C1.026152-.249066 1.026152-.229141 1.026152-.159402C1.026152 .029888 1.185554 .109589 1.315068 .109589C1.613948 .109589 1.693649-.169365 1.8132-.537983C1.952677-.996264 1.952677-1.016189 2.082192-1.514321L2.6401-3.716065Z'/>
+<path id='g2-59' d='M2.022416-.009963C2.022416-.667497 1.77335-1.05604 1.384807-1.05604C1.05604-1.05604 .856787-.806974 .856787-.52802C.856787-.259029 1.05604 0 1.384807 0C1.504359 0 1.633873-.039851 1.733499-.129514C1.763387-.14944 1.77335-.159402 1.783313-.159402S1.803238-.14944 1.803238-.009963C1.803238 .727273 1.454545 1.325031 1.125778 1.653798C1.016189 1.763387 1.016189 1.783313 1.016189 1.8132C1.016189 1.882939 1.066002 1.92279 1.115816 1.92279C1.225405 1.92279 2.022416 1.155666 2.022416-.009963Z'/>
+<path id='g2-99' d='M3.945205-3.785803C3.785803-3.785803 3.646326-3.785803 3.506849-3.646326C3.347447-3.496887 3.327522-3.327522 3.327522-3.257783C3.327522-3.01868 3.506849-2.909091 3.696139-2.909091C3.985056-2.909091 4.254047-3.148194 4.254047-3.5467C4.254047-4.034869 3.785803-4.403487 3.078456-4.403487C1.733499-4.403487 .408468-2.978829 .408468-1.574097C.408468-.67746 .986301 .109589 2.022416 .109589C3.447073 .109589 4.283935-.946451 4.283935-1.066002C4.283935-1.125778 4.224159-1.195517 4.164384-1.195517C4.11457-1.195517 4.094645-1.175592 4.034869-1.09589C3.247821-.109589 2.161893-.109589 2.042341-.109589C1.414695-.109589 1.145704-.597758 1.145704-1.195517C1.145704-1.603985 1.344956-2.570361 1.683686-3.188045C1.992528-3.755915 2.540473-4.184309 3.088418-4.184309C3.427148-4.184309 3.805729-4.054795 3.945205-3.785803Z'/>
+<path id='g2-100' d='M5.140722-6.804483C5.140722-6.814446 5.140722-6.914072 5.011208-6.914072C4.861768-6.914072 3.915318-6.824408 3.745953-6.804483C3.666252-6.794521 3.606476-6.744707 3.606476-6.615193C3.606476-6.495641 3.696139-6.495641 3.845579-6.495641C4.323786-6.495641 4.343711-6.425903 4.343711-6.326276L4.313823-6.127024L3.716065-3.765878C3.536737-4.134496 3.247821-4.403487 2.799502-4.403487C1.633873-4.403487 .398506-2.938979 .398506-1.484433C.398506-.547945 .946451 .109589 1.723537 .109589C1.92279 .109589 2.420922 .069738 3.01868-.637609C3.098381-.219178 3.447073 .109589 3.92528 .109589C4.273973 .109589 4.503113-.119552 4.662516-.438356C4.83188-.797011 4.961395-1.404732 4.961395-1.424658C4.961395-1.524284 4.871731-1.524284 4.841843-1.524284C4.742217-1.524284 4.732254-1.484433 4.702366-1.344956C4.533001-.697385 4.353674-.109589 3.945205-.109589C3.676214-.109589 3.646326-.368618 3.646326-.56787C3.646326-.806974 3.666252-.876712 3.706102-1.046077L5.140722-6.804483ZM3.068493-1.185554C3.01868-1.006227 3.01868-.986301 2.86924-.816936C2.430884-.268991 2.022416-.109589 1.743462-.109589C1.24533-.109589 1.105853-.657534 1.105853-1.046077C1.105853-1.544209 1.424658-2.769614 1.653798-3.227895C1.96264-3.815691 2.410959-4.184309 2.809465-4.184309C3.457036-4.184309 3.596513-3.367372 3.596513-3.307597S3.576588-3.188045 3.566625-3.138232L3.068493-1.185554Z'/>
+<path id='g2-102' d='M3.656289-3.985056H4.513076C4.712329-3.985056 4.811955-3.985056 4.811955-4.184309C4.811955-4.293898 4.712329-4.293898 4.542964-4.293898H3.716065L3.92528-5.429639C3.965131-5.638854 4.104608-6.346202 4.164384-6.465753C4.254047-6.655044 4.423412-6.804483 4.632628-6.804483C4.672478-6.804483 4.931507-6.804483 5.120797-6.625156C4.682441-6.585305 4.582814-6.236613 4.582814-6.087173C4.582814-5.858032 4.762142-5.738481 4.951432-5.738481C5.210461-5.738481 5.499377-5.957659 5.499377-6.336239C5.499377-6.794521 5.041096-7.023661 4.632628-7.023661C4.293898-7.023661 3.666252-6.844334 3.367372-5.858032C3.307597-5.648817 3.277709-5.549191 3.038605-4.293898H2.351183C2.161893-4.293898 2.052304-4.293898 2.052304-4.104608C2.052304-3.985056 2.141968-3.985056 2.331258-3.985056H2.988792L2.241594-.049813C2.062267 .916563 1.892902 1.823163 1.374844 1.823163C1.334994 1.823163 1.085928 1.823163 .896638 1.643836C1.354919 1.613948 1.444583 1.255293 1.444583 1.105853C1.444583 .876712 1.265255 .757161 1.075965 .757161C.816936 .757161 .52802 .976339 .52802 1.354919C.52802 1.803238 .966376 2.042341 1.374844 2.042341C1.92279 2.042341 2.321295 1.454545 2.500623 1.075965C2.819427 .448319 3.048568-.757161 3.058531-.826899L3.656289-3.985056Z'/>
+<path id='g2-116' d='M2.052304-3.985056H2.988792C3.188045-3.985056 3.287671-3.985056 3.287671-4.184309C3.287671-4.293898 3.188045-4.293898 3.008717-4.293898H2.132005C2.49066-5.708593 2.540473-5.907846 2.540473-5.967621C2.540473-6.136986 2.420922-6.236613 2.251557-6.236613C2.221669-6.236613 1.942715-6.22665 1.853051-5.877958L1.464508-4.293898H.52802C.328767-4.293898 .229141-4.293898 .229141-4.104608C.229141-3.985056 .308842-3.985056 .508095-3.985056H1.384807C.667497-1.155666 .627646-.986301 .627646-.806974C.627646-.268991 1.006227 .109589 1.544209 .109589C2.560399 .109589 3.128269-1.344956 3.128269-1.424658C3.128269-1.524284 3.048568-1.524284 3.008717-1.524284C2.919054-1.524284 2.909091-1.494396 2.859278-1.384807C2.430884-.348692 1.902864-.109589 1.564134-.109589C1.354919-.109589 1.255293-.239103 1.255293-.56787C1.255293-.806974 1.275218-.876712 1.315068-1.046077L2.052304-3.985056Z'/>
+<path id='g2-120' d='M3.327522-3.008717C3.387298-3.267746 3.616438-4.184309 4.313823-4.184309C4.363636-4.184309 4.60274-4.184309 4.811955-4.054795C4.533001-4.004981 4.333748-3.755915 4.333748-3.516812C4.333748-3.35741 4.443337-3.16812 4.712329-3.16812C4.931507-3.16812 5.250311-3.347447 5.250311-3.745953C5.250311-4.26401 4.662516-4.403487 4.323786-4.403487C3.745953-4.403487 3.39726-3.875467 3.277709-3.646326C3.028643-4.303861 2.49066-4.403487 2.201743-4.403487C1.165629-4.403487 .597758-3.118306 .597758-2.86924C.597758-2.769614 .697385-2.769614 .71731-2.769614C.797011-2.769614 .826899-2.789539 .846824-2.879203C1.185554-3.935243 1.843088-4.184309 2.181818-4.184309C2.371108-4.184309 2.719801-4.094645 2.719801-3.516812C2.719801-3.20797 2.550436-2.540473 2.181818-1.145704C2.022416-.52802 1.673724-.109589 1.235367-.109589C1.175592-.109589 .946451-.109589 .737235-.239103C.986301-.288917 1.205479-.498132 1.205479-.777086C1.205479-1.046077 .986301-1.125778 .836862-1.125778C.537983-1.125778 .288917-.86675 .288917-.547945C.288917-.089664 .787049 .109589 1.225405 .109589C1.882939 .109589 2.241594-.587796 2.271482-.647572C2.391034-.278954 2.749689 .109589 3.347447 .109589C4.373599 .109589 4.941469-1.175592 4.941469-1.424658C4.941469-1.524284 4.851806-1.524284 4.821918-1.524284C4.732254-1.524284 4.712329-1.484433 4.692403-1.414695C4.363636-.348692 3.686177-.109589 3.367372-.109589C2.978829-.109589 2.819427-.428394 2.819427-.767123C2.819427-.986301 2.879203-1.205479 2.988792-1.643836L3.327522-3.008717Z'/>
+<path id='g5-18' d='M6.973848 23.402242C6.973848 23.362391 6.953923 23.342466 6.933998 23.312578C6.56538 22.94396 5.897883 22.276463 5.230386 21.200498C3.626401 18.630137 2.899128 15.392279 2.899128 11.556663C2.899128 8.876712 3.257783 5.419676 4.901619 2.450809C5.688667 1.036115 6.505604 .219178 6.94396-.219178C6.973848-.249066 6.973848-.268991 6.973848-.298879C6.973848-.398506 6.90411-.398506 6.764633-.398506S6.60523-.398506 6.455791-.249066C3.118306 2.789539 2.072229 7.352428 2.072229 11.5467C2.072229 15.462017 2.968867 19.407223 5.499377 22.386052C5.69863 22.615193 6.07721 23.023661 6.485679 23.382316C6.60523 23.501868 6.625156 23.501868 6.764633 23.501868S6.973848 23.501868 6.973848 23.402242Z'/>
+<path id='g5-19' d='M5.250311 11.556663C5.250311 7.641345 4.353674 3.696139 1.823163 .71731C1.62391 .488169 1.24533 .079701 .836862-.278954C.71731-.398506 .697385-.398506 .557908-.398506C.438356-.398506 .348692-.398506 .348692-.298879C.348692-.259029 .388543-.219178 .408468-.199253C.757161 .159402 1.424658 .826899 2.092154 1.902864C3.696139 4.473225 4.423412 7.711083 4.423412 11.5467C4.423412 14.22665 4.064757 17.683686 2.420922 20.652553C1.633873 22.067248 .806974 22.894147 .388543 23.312578C.368618 23.342466 .348692 23.372354 .348692 23.402242C.348692 23.501868 .438356 23.501868 .557908 23.501868C.697385 23.501868 .71731 23.501868 .86675 23.352428C4.204234 20.313823 5.250311 15.750934 5.250311 11.556663Z'/>
+<path id='g5-90' d='M1.036115 21.688667C1.354919 21.668742 1.524284 21.449564 1.524284 21.200498C1.524284 20.871731 1.275218 20.712329 1.046077 20.712329C.806974 20.712329 .557908 20.861768 .557908 21.210461C.557908 21.718555 1.05604 22.136986 1.663761 22.136986C3.178082 22.136986 3.745953 19.805729 4.4533 16.916563C5.220423 13.768369 5.867995 10.590286 6.405978 7.392279C6.774595 5.270237 7.143213 3.277709 7.481943 1.992528C7.601494 1.504359 7.940224 .219178 8.328767 .219178C8.637609 .219178 8.886675 .408468 8.926526 .448319C8.597758 .468244 8.428394 .687422 8.428394 .936488C8.428394 1.265255 8.67746 1.424658 8.9066 1.424658C9.145704 1.424658 9.39477 1.275218 9.39477 .926526C9.39477 .388543 8.856787 0 8.308842 0C7.551681 0 6.993773 1.085928 6.445828 3.118306C6.41594 3.227895 5.061021 8.229141 3.965131 14.744707C3.706102 16.268991 3.417186 17.932752 3.088418 19.317559C2.909091 20.044832 2.450809 21.917808 1.643836 21.917808C1.285181 21.917808 1.046077 21.688667 1.036115 21.688667Z'/>
+</defs>
+<g id='page1'>
+<use x='98.97879' y='78.206831' xlink:href='#g2-102'/>
+<use x='104.928737' y='78.206831' xlink:href='#g3-40'/>
+<use x='108.803111' y='78.206831' xlink:href='#g2-120'/>
+<use x='114.497043' y='78.206831' xlink:href='#g3-59'/>
+<use x='118.924851' y='78.206831' xlink:href='#g2-22'/>
+<use x='124.927835' y='78.206831' xlink:href='#g2-59'/>
+<use x='129.355643' y='78.206831' xlink:href='#g2-99'/>
+<use x='133.66704' y='78.206831' xlink:href='#g3-41'/>
+<use x='140.308746' y='78.206831' xlink:href='#g3-61'/>
+<use x='154.703576' y='71.46703' xlink:href='#g3-49'/>
+<rect x='152.02034' y='75.516921' height='.398484' width='10.347808'/>
+<use x='152.02034' y='85.040701' xlink:href='#g2-25'/>
+<use x='158.056757' y='85.040701' xlink:href='#g2-99'/>
+<use x='165.224061' y='64.646461' xlink:href='#g5-90'/>
+<use x='175.186716' y='67.109424' xlink:href='#g1-49'/>
+<use x='170.758878' y='87.284013' xlink:href='#g4-48'/>
+<use x='185.287707' y='78.206831' xlink:href='#g3-101'/>
+<use x='189.715559' y='78.206831' xlink:href='#g3-120'/>
+<use x='194.973647' y='78.206831' xlink:href='#g3-112'/>
+<use x='200.508446' y='78.206831' xlink:href='#g3-40'/>
+<use x='204.38282' y='78.206831' xlink:href='#g0-0'/>
+<use x='212.131568' y='78.206831' xlink:href='#g2-116'/>
+<use x='215.729203' y='78.206831' xlink:href='#g3-41'/>
+<use x='221.263976' y='78.206831' xlink:href='#g3-99'/>
+<use x='225.691827' y='78.206831' xlink:href='#g3-111'/>
+<use x='230.673166' y='78.206831' xlink:href='#g3-115'/>
+<use x='236.263255' y='64.159381' xlink:href='#g5-18'/>
+<use x='243.596899' y='78.206831' xlink:href='#g2-116'/>
+<use x='248.854933' y='64.159381' xlink:href='#g5-18'/>
+<use x='257.384091' y='71.46703' xlink:href='#g2-120'/>
+<use x='265.291889' y='71.46703' xlink:href='#g0-0'/>
+<use x='275.254503' y='71.46703' xlink:href='#g2-22'/>
+<rect x='257.384091' y='75.516921' height='.398484' width='23.873366'/>
+<use x='267.165085' y='85.040701' xlink:href='#g2-99'/>
+<use x='282.45297' y='64.159381' xlink:href='#g5-19'/>
+<use x='292.00048' y='78.206831' xlink:href='#g3-43'/>
+<use x='303.158607' y='71.46703' xlink:href='#g3-50'/>
+<use x='308.139946' y='71.46703' xlink:href='#g2-116'/>
+<rect x='303.158607' y='75.516921' height='.398484' width='8.578959'/>
+<use x='304.429887' y='85.040701' xlink:href='#g2-25'/>
+<use x='314.593479' y='78.206831' xlink:href='#g3-108'/>
+<use x='317.360888' y='78.206831' xlink:href='#g3-111'/>
+<use x='322.342227' y='78.206831' xlink:href='#g3-103'/>
+<use x='329.122309' y='64.159381' xlink:href='#g5-18'/>
+<use x='338.008359' y='71.46703' xlink:href='#g2-116'/>
+<rect x='337.651467' y='75.516921' height='.398484' width='4.311393'/>
+<use x='337.651467' y='85.040701' xlink:href='#g2-99'/>
+<use x='343.158373' y='64.159381' xlink:href='#g5-19'/>
+<use x='350.492017' y='64.159381' xlink:href='#g5-19'/>
+<use x='359.486045' y='78.206831' xlink:href='#g2-100'/>
+<use x='364.671478' y='78.206831' xlink:href='#g2-116'/>
+</g>
+</svg>