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Cardinal trigonometric interpolation: Implement squared l2 norm.

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This commit is contained in:
Nick Thompson
2019-07-27 21:21:33 -04:00
parent 27bc4146d9
commit efb53a3c43
3 changed files with 64 additions and 4 deletions
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10
test/cardinal_trigonometric_test.cpp
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@@ -31,6 +31,8 @@ void test_constant()
auto ct = cardinal_trigonometric<decltype(v)>(v, t0, h);
CHECK_ULP_CLOSE(c, ct(0.3), 3);
CHECK_ULP_CLOSE(c*h*n, ct.integrate(), 3);
CHECK_ULP_CLOSE(c*c*h*n, ct.squared_l2(), 3);
}
}
@@ -119,7 +121,12 @@ void test_bump()
// Wolfram Alpha:
// NIntegrate[Exp[-1/(1-x*x)],{x,-1,1}]
CHECK_ULP_CLOSE(Real(0.4439938161680794378), ct.integrate(), 3);
CHECK_ULP_CLOSE(Real(0.443993816168079437823L), ct.integrate(), 3);
// NIntegrate[Exp[-2/(1-x*x)],{x,-1,1}]
CHECK_ULP_CLOSE(Real(0.1330861208449942715569473279553285713625791551628130055345002588895389L), ct.squared_l2(), 1);
}
@@ -132,6 +139,7 @@ int main()
test_bump<float>();
#endif
#ifdef TEST2
test_constant<double>();
test_sampled_sine<double>();