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Add coverage to Daubechies wavelet and scaling functions. #1454

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Merged
NAThompson merged 1 commit into from
Sep 5, 2026
+30 −0
Merged

Add coverage to Daubechies wavelet and scaling functions. #1454

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15 changes: 15 additions & 0 deletions test/daubechies_scaling_test.cpp
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Original file line number Diff line number Diff line change
Expand Up @@ -16,6 +16,7 @@
#include <boost/hana/for_each.hpp>
#include <boost/hana/ext/std/integer_sequence.hpp>
#include <boost/math/tools/condition_numbers.hpp>
#include <boost/math/differentiation/finite_difference.hpp>
#include <boost/math/special_functions/daubechies_scaling.hpp>
#include <boost/math/filters/daubechies.hpp>
#include <boost/math/special_functions/detail/daubechies_scaling_integer_grid.hpp>
Expand Down Expand Up @@ -458,13 +459,27 @@ void test_quadratures()
}
}

void test_absolute_error_refinement_derivatives()
{
using boost::math::differentiation::finite_difference_derivative;
auto phi = boost::math::daubechies_scaling<float, 19>(-2);
auto value = [&](float x) { return phi(x); };
auto prime = [&](float x) { return phi.prime(x); };
float x = 9.03125f;
float finite_difference_prime = finite_difference_derivative<decltype(value), float, 2>(value, x);
float finite_difference_double_prime = finite_difference_derivative<decltype(prime), float, 2>(prime, x);
CHECK_MOLLIFIED_CLOSE(finite_difference_prime, phi.prime(x), 0.005f);
CHECK_MOLLIFIED_CLOSE(finite_difference_double_prime, phi.double_prime(x), 0.005f);
}

int main()
{
#ifndef __MINGW32__
boost::hana::for_each(std::make_index_sequence<18>(), [&](auto i){
test_quadratures<float, i+2>();
test_quadratures<double, i+2>();
});
test_absolute_error_refinement_derivatives();

test_agreement_with_ten_lectures();

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15 changes: 15 additions & 0 deletions test/daubechies_wavelet_test.cpp
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Original file line number Diff line number Diff line change
Expand Up @@ -17,6 +17,7 @@
#include <boost/hana/for_each.hpp>
#include <boost/hana/ext/std/integer_sequence.hpp>
#include <boost/math/tools/condition_numbers.hpp>
#include <boost/math/differentiation/finite_difference.hpp>
#include <boost/math/special_functions/daubechies_wavelet.hpp>
#include <boost/math/special_functions/next.hpp>
#include <boost/math/quadrature/trapezoidal.hpp>
Expand Down Expand Up @@ -118,6 +119,19 @@ void test_quadratures()
}
}

void test_absolute_error_refinement_derivatives()
{
using boost::math::differentiation::finite_difference_derivative;
auto psi = boost::math::daubechies_wavelet<float, 19>(-2);
auto value = [&](float x) { return psi(x); };
auto prime = [&](float x) { return psi.prime(x); };
float x = 0.1875f;
float finite_difference_prime = finite_difference_derivative<decltype(value), float, 2>(value, x);
float finite_difference_double_prime = finite_difference_derivative<decltype(prime), float, 2>(prime, x);
CHECK_MOLLIFIED_CLOSE(finite_difference_prime, psi.prime(x), 0.005f);
CHECK_MOLLIFIED_CLOSE(finite_difference_double_prime, psi.double_prime(x), 0.005f);
}

int main()
{
#ifndef __MINGW32__
Expand All @@ -129,6 +143,7 @@ int main()
test_quadratures<float, i + 3>();
test_quadratures<double, i + 3>();
});
test_absolute_error_refinement_derivatives();
}
catch (std::bad_alloc)
{
Expand Down
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