171 lines
6.2 KiB
C++
171 lines
6.2 KiB
C++
#include "maths.hpp"
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#include "debug.hpp"
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#include "tap.hpp"
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#include <cstdlib>
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#include <cmath>
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#include <limits>
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using std::sqrt;
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using std::numeric_limits;
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void
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test_comparisons (util::TAP::logger &tap)
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{
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// Check pos/neg zeroes
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tap.expect (util::almost_equal ( 0.f, 0.f), "equal float zeros +ve/+ve");
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tap.expect (util::almost_equal ( 0.f, -0.f), "equal float zeros +ve/-ve");
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tap.expect (util::almost_equal (-0.f, 0.f), "equal float zeros -ve/+ve");
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tap.expect (util::almost_equal (-0.f, -0.f), "equal float zeros -ve/-ve");
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tap.expect (util::almost_equal ( 0., 0.), "equal double zeroes +ve/+ve");
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tap.expect (util::almost_equal ( 0., -0.), "equal double zeroes +ve/+ve");
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tap.expect (util::almost_equal (-0., 0.), "equal double zeroes +ve/+ve");
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tap.expect (util::almost_equal (-0., -0.), "equal double zeroes +ve/+ve");
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// Check zero comparison with values near the expected cutoff
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tap.expect (util::almost_zero (1e-45f), "almost_zero with low value");
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tap.expect (!util::almost_zero (1e-40f), "not almost_zero with low value");
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tap.expect (!util::exactly_zero (1e-45f), "not exactly_zero with low value");
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// Compare values a little away from zero
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tap.expect (!util::almost_equal (-2.0, 0.0), "not equal floats");
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tap.expect (!util::almost_equal (-2.f, 0.f), "not equal doubles");
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// Compare values at the maximum extreme
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tap.expect (!util::almost_equal (-std::numeric_limits<float>::max (), 0.f), "not equal -max/0 float");
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tap.expect (!util::almost_equal (-std::numeric_limits<float>::max (),
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std::numeric_limits<float>::max ()),
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"not equal -max/max");
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// Compare infinity values
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tap.expect ( util::almost_equal (numeric_limits<double>::infinity (),
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numeric_limits<double>::infinity ()),
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"almost_equal +infinity");
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tap.expect (!util::almost_equal (numeric_limits<double>::infinity (), 0.0),
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"not almost_equal +inf/0");
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// Compare NaNs
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tap.expect (!util::almost_equal (0., numeric_limits<double>::quiet_NaN ()), "not almost_equal double 0/NaN");
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tap.expect (!util::almost_equal (numeric_limits<double>::quiet_NaN (), 0.), "not almost_equal double NaN/0");
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tap.expect (!util::almost_equal (numeric_limits<double>::quiet_NaN (),
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numeric_limits<double>::quiet_NaN ()),
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"not almost_equal NaN/NaN");
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// Compare reasonably close values that are wrong
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tap.expect (!util::almost_equal (1.0000f, 1.0001f), ".0001f difference inequality");
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tap.expect ( util::almost_equal (1.0000f, 1.00001f), ".00001f difference inequality");
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}
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void
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test_normalisations (util::TAP::logger &tap)
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{
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// u8 to float
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{
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auto a = util::renormalise<uint8_t,float> (255);
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tap.expect_eq (a, 1.f, "normalise uint8 max");
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auto b = util::renormalise<uint8_t,float> (0);
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tap.expect_eq (b, 0.f, "normalise uint8 min");
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}
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// float to u8
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{
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bool success = true;
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static const struct {
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float a;
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uint8_t b;
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} TESTS[] = {
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{ 1.f, 255 },
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{ 0.5f, 127 },
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{ 2.f, 255 },
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{ -1.f, 0 }
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};
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for (auto i: TESTS) {
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auto v = util::renormalise<decltype(i.a),decltype(i.b)> (i.a);
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success = success && util::almost_equal (unsigned{v}, unsigned{i.b});
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}
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tap.expect (success, "float-u8 normalisation");
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}
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// float to uint32
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// exercises an integer type that has more precision than float
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{
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bool success = true;
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static const struct {
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float a;
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uint32_t b;
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} TESTS[] {
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{ 0.f, 0x00000000 }, // lo range
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{ 1.f, 0xffffffff }, // hi range
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{ 0.5f, 0x7fffff7f }, // 31 bits
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{ 0.001953125f, 0x007fff00 }, // 23 bits
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};
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for (auto t: TESTS) {
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auto v = util::renormalise<float,uint32_t> (t.a);
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success = success && util::almost_equal (t.b, v);
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}
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tap.expect (success, "float-u32 normalisation");
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}
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tap.expect_eq (util::renormalise<uint8_t,uint32_t> (0xff), 0xffffffffu, "normalise hi u8-to-u32");
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tap.expect_eq (util::renormalise<uint8_t,uint32_t> (0x00), 0x00000000u, "normalise lo u8-to-u32");
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tap.expect_eq (util::renormalise<uint32_t,uint8_t> (0xffffffff), 0xffu, "normalise hi u32-to-u8");
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}
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int
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main (void)
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{
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util::TAP::logger tap;
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// Max out the precision in case we trigger debug output
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std::cerr.precision (std::numeric_limits<double>::digits10);
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std::cout.precision (std::numeric_limits<double>::digits10);
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test_comparisons (tap);
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test_normalisations (tap);
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tap.expect_eq (util::min (-2, 0, 2), -2, "variadic min");
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tap.expect_eq (util::max (-2, 0, 2), 2, "variadic max");
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tap.expect_eq (util::pow2 (4u), 16u, "pow2");
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static const double POS_ZERO = 1.0 / numeric_limits<double>::infinity ();
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static const double NEG_ZERO = -1.0 / numeric_limits<double>::infinity ();
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tap.expect_eq (util::sign (-1), -1, "sign(-1)");
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tap.expect_eq (util::sign ( 1), 1, "sign( 1)");
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tap.expect_eq (util::sign (POS_ZERO), 1., "sign (POS_ZERO)");
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tap.expect_eq (util::sign (NEG_ZERO), -1., "sign (NEG_ZERO)");
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tap.expect_eq (util::sign ( numeric_limits<double>::infinity ()), 1., "sign +inf");
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tap.expect_eq (util::sign (-numeric_limits<double>::infinity ()), -1., "sign -inf");
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tap.expect_eq (util::to_degrees (util::PI< float>), 180.f, "to_degrees float");
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tap.expect_eq (util::to_degrees (util::PI<double>), 180.0, "to_degrees double");
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tap.expect_eq (util::to_radians (180.f), util::PI<float>, "to_radians float");
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tap.expect_eq (util::to_radians (180.0), util::PI<double>, "to_radians double");
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tap.expect_eq (util::log2 (8u), 3u, "log2 +ve");
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tap.expect_eq (util::log2 (1u), 0u, "log2 zero");
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//tap.expect_eq (log2 (9u), 3, "log2up 9");
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tap.expect_eq (util::log2up (9u), 4u, "log2up 9");
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tap.expect_eq (util::log2up (8u), 3u, "log2up 9");
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tap.expect_eq (util::log2up (1u), 0u, "log2up 9");
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return tap.status ();
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}
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