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Diffstat (limited to 'src/pal/tests/palsuite/c_runtime/pow/test1/test1.cpp')
-rw-r--r-- | src/pal/tests/palsuite/c_runtime/pow/test1/test1.cpp | 230 |
1 files changed, 230 insertions, 0 deletions
diff --git a/src/pal/tests/palsuite/c_runtime/pow/test1/test1.cpp b/src/pal/tests/palsuite/c_runtime/pow/test1/test1.cpp new file mode 100644 index 0000000000..0a05cd5a47 --- /dev/null +++ b/src/pal/tests/palsuite/c_runtime/pow/test1/test1.cpp @@ -0,0 +1,230 @@ +// Licensed to the .NET Foundation under one or more agreements. +// The .NET Foundation licenses this file to you under the MIT license. +// See the LICENSE file in the project root for more information. + +/*===================================================================== +** +** Source: test1.c +** +** Purpose: Tests that atan2 returns correct values for a subset of values. +** Tests with positive and negative values of x and y to ensure +** atan2 is returning results from the correct quadrant. +** +**===================================================================*/ + +#include <palsuite.h> + +// binary64 (double) has a machine epsilon of 2^-52 (approx. 2.22e-16). However, this +// is slightly too accurate when writing tests meant to run against libm implementations +// for various platforms. 2^-50 (approx. 8.88e-16) seems to be as accurate as we can get. +// +// The tests themselves will take PAL_EPSILON and adjust it according to the expected result +// so that the delta used for comparison will compare the most significant digits and ignore +// any digits that are outside the double precision range (15-17 digits). + +// For example, a test with an expect result in the format of 0.xxxxxxxxxxxxxxxxx will use +// PAL_EPSILON for the variance, while an expected result in the format of 0.0xxxxxxxxxxxxxxxxx +// will use PAL_EPSILON / 10 and and expected result in the format of x.xxxxxxxxxxxxxxxx will +// use PAL_EPSILON * 10. +#define PAL_EPSILON 8.8817841970012523e-16 + +#define PAL_NAN sqrt(-1.0) +#define PAL_POSINF -log(0.0) +#define PAL_NEGINF log(0.0) + +/** + * Helper test structure + */ +struct test +{ + double x; /* first component of the value to test the function with */ + double y; /* second component of the value to test the function with */ + double expected; /* expected result */ + double variance; /* maximum delta between the expected and actual result */ +}; + +/** + * validate + * + * test validation function + */ +void __cdecl validate(double x, double y, double expected, double variance) +{ + double result = pow(x, y); + + /* + * The test is valid when the difference between result + * and expected is less than or equal to variance + */ + double delta = fabs(result - expected); + + if (delta > variance) + { + Fail("pow(%g, %g) returned %20.17g when it should have returned %20.17g", + x, y, result, expected); + } +} + +/** + * validate + * + * test validation function for values returning NaN + */ +void __cdecl validate_isnan(double x, double y) +{ + double result = pow(x, y); + + if (!_isnan(result)) + { + Fail("pow(%g, %g) returned %20.17g when it should have returned %20.17g", + x, y, result, PAL_NAN); + } +} + +/** + * main + * + * executable entry point + */ +int __cdecl main(int argc, char **argv) +{ + struct test tests[] = + { + /* x y expected variance */ + { PAL_NEGINF, PAL_NEGINF, 0, PAL_EPSILON }, + { PAL_NEGINF, PAL_POSINF, PAL_POSINF, 0 }, + + { -10, PAL_NEGINF, 0, PAL_EPSILON }, + { -10, -1, -0.1, PAL_EPSILON }, + { -10, 0, 1, PAL_EPSILON * 10 }, + { -10, 1, -10, PAL_EPSILON * 100 }, + { -10, PAL_POSINF, PAL_POSINF, 0 }, + + { -2.7182818284590452, PAL_NEGINF, 0, PAL_EPSILON }, // x: -(e) + { -2.7182818284590452, -1, -0.36787944117144232, PAL_EPSILON }, // x: -(e) + { -2.7182818284590452, 0, 1, PAL_EPSILON * 10 }, // x: -(e) + { -2.7182818284590452, 1, -2.7182818284590452, PAL_EPSILON * 10 }, // x: -(e) expected: e + { -2.7182818284590452, PAL_POSINF, PAL_POSINF, 0 }, // x: -(e) + + { -0.0, PAL_NEGINF, PAL_POSINF, 0 }, + { -0.0, -1, PAL_NEGINF, 0 }, + { -0.0, -0.0, 1, PAL_EPSILON * 10 }, + { -0.0, 0, 1, PAL_EPSILON * 10 }, + { -0.0, 1, -0.0, PAL_EPSILON }, + { -0.0, PAL_POSINF, 0, PAL_EPSILON }, + + { 0.0, PAL_NEGINF, PAL_POSINF, 0 }, + { 0.0, -1, PAL_POSINF, 0 }, + { 0, -0.0, 1, PAL_EPSILON * 10 }, + { 0, 0, 1, PAL_EPSILON * 10 }, + { 0.0, 1, 0, PAL_EPSILON }, + { 0.0, PAL_POSINF, 0, PAL_EPSILON }, + + { 1, PAL_NEGINF, 1, PAL_EPSILON * 10 }, + { 1, PAL_POSINF, 1, PAL_EPSILON * 10 }, + + { 2.7182818284590452, PAL_NEGINF, 0, PAL_EPSILON }, + { 2.7182818284590452, -3.1415926535897932, 0.043213918263772250, PAL_EPSILON / 10 }, // x: e y: -(pi) + { 2.7182818284590452, -2.7182818284590452, 0.065988035845312537, PAL_EPSILON / 10 }, // x: e y: -(e) + { 2.7182818284590452, -2.3025850929940457, 0.1, PAL_EPSILON }, // x: e y: -(ln(10)) + { 2.7182818284590452, -1.5707963267948966, 0.20787957635076191, PAL_EPSILON }, // x: e y: -(pi / 2) + { 2.7182818284590452, -1.4426950408889634, 0.23629008834452270, PAL_EPSILON }, // x: e y: -(log2(e)) + { 2.7182818284590452, -1.4142135623730950, 0.24311673443421421, PAL_EPSILON }, // x: e y: -(sqrt(2)) + { 2.7182818284590452, -1.1283791670955126, 0.32355726390307110, PAL_EPSILON }, // x: e y: -(2 / sqrt(pi)) + { 2.7182818284590452, -1, 0.36787944117144232, PAL_EPSILON }, // x: e y: -(1) + { 2.7182818284590452, -0.78539816339744831, 0.45593812776599624, PAL_EPSILON }, // x: e y: -(pi / 4) + { 2.7182818284590452, -0.70710678118654752, 0.49306869139523979, PAL_EPSILON }, // x: e y: -(1 / sqrt(2)) + { 2.7182818284590452, -0.69314718055994531, 0.5, PAL_EPSILON }, // x: e y: -(ln(2)) + { 2.7182818284590452, -0.63661977236758134, 0.52907780826773535, PAL_EPSILON }, // x: e y: -(2 / pi) + { 2.7182818284590452, -0.43429448190325183, 0.64772148514180065, PAL_EPSILON }, // x: e y: -(log10(e)) + { 2.7182818284590452, -0.31830988618379067, 0.72737734929521647, PAL_EPSILON }, // x: e y: -(1 / pi) + { 2.7182818284590452, 0, 1, PAL_EPSILON * 10 }, // x: e + { 2.7182818284590452, 0.31830988618379067, 1.3748022274393586, PAL_EPSILON * 10 }, // x: e y: 1 / pi + { 2.7182818284590452, 0.43429448190325183, 1.5438734439711811, PAL_EPSILON * 10 }, // x: e y: log10(e) + { 2.7182818284590452, 0.63661977236758134, 1.8900811645722220, PAL_EPSILON * 10 }, // x: e y: 2 / pi + { 2.7182818284590452, 0.69314718055994531, 2, PAL_EPSILON * 10 }, // x: e y: ln(2) + { 2.7182818284590452, 0.70710678118654752, 2.0281149816474725, PAL_EPSILON * 10 }, // x: e y: 1 / sqrt(2) + { 2.7182818284590452, 0.78539816339744831, 2.1932800507380155, PAL_EPSILON * 10 }, // x: e y: pi / 4 + { 2.7182818284590452, 1, 2.7182818284590452, PAL_EPSILON * 10 }, // x: e expected: e + { 2.7182818284590452, 1.1283791670955126, 3.0906430223107976, PAL_EPSILON * 10 }, // x: e y: 2 / sqrt(pi) + { 2.7182818284590452, 1.4142135623730950, 4.1132503787829275, PAL_EPSILON * 10 }, // x: e y: sqrt(2) + { 2.7182818284590452, 1.4426950408889634, 4.2320861065570819, PAL_EPSILON * 10 }, // x: e y: log2(e) + { 2.7182818284590452, 1.5707963267948966, 4.8104773809653517, PAL_EPSILON * 10 }, // x: e y: pi / 2 + { 2.7182818284590452, 2.3025850929940457, 10, PAL_EPSILON * 100 }, // x: e y: ln(10) + { 2.7182818284590452, 2.7182818284590452, 15.154262241479264, PAL_EPSILON * 100 }, // x: e y: e + { 2.7182818284590452, 3.1415926535897932, 23.140692632779269, PAL_EPSILON * 100 }, // x: e y: pi + { 2.7182818284590452, PAL_POSINF, PAL_POSINF, 0 }, // x: e + + { 10, PAL_NEGINF, 0, 0 }, + { 10, -3.1415926535897932, 0.00072178415907472774, PAL_EPSILON / 1000 }, // y: -(pi) + { 10, -2.7182818284590452, 0.0019130141022243176, PAL_EPSILON / 100 }, // y: -(e) + { 10, -2.3025850929940457, 0.0049821282964407206, PAL_EPSILON / 100 }, // y: -(ln(10)) + { 10, -1.5707963267948966, 0.026866041001136132, PAL_EPSILON / 10 }, // y: -(pi / 2) + { 10, -1.4426950408889634, 0.036083192820787210, PAL_EPSILON / 10 }, // y: -(log2(e)) + { 10, -1.4142135623730950, 0.038528884700322026, PAL_EPSILON / 10 }, // y: -(sqrt(2)) + { 10, -1.1283791670955126, 0.074408205860642723, PAL_EPSILON / 10 }, // y: -(2 / sqrt(pi)) + { 10, -1, 0.1, PAL_EPSILON }, // y: -(1) + { 10, -0.78539816339744831, 0.16390863613957665, PAL_EPSILON }, // y: -(pi / 4) + { 10, -0.70710678118654752, 0.19628775993505562, PAL_EPSILON }, // y: -(1 / sqrt(2)) + { 10, -0.69314718055994531, 0.20269956628651730, PAL_EPSILON }, // y: -(ln(2)) + { 10, -0.63661977236758134, 0.23087676451600055, PAL_EPSILON }, // y: -(2 / pi) + { 10, -0.43429448190325183, 0.36787944117144232, PAL_EPSILON }, // y: -(log10(e)) + { 10, -0.31830988618379067, 0.48049637305186868, PAL_EPSILON }, // y: -(1 / pi) + { 10, 0, 1, PAL_EPSILON * 10 }, + { 10, 0.31830988618379067, 2.0811811619898573, PAL_EPSILON * 10 }, // y: 1 / pi + { 10, 0.43429448190325183, 2.7182818284590452, PAL_EPSILON * 10 }, // y: log10(e) expected: e + { 10, 0.63661977236758134, 4.3313150290214525, PAL_EPSILON * 10 }, // y: 2 / pi + { 10, 0.69314718055994531, 4.9334096679145963, PAL_EPSILON * 10 }, // y: ln(2) + { 10, 0.70710678118654752, 5.0945611704512962, PAL_EPSILON * 10 }, // y: 1 / sqrt(2) + { 10, 0.78539816339744831, 6.1009598002416937, PAL_EPSILON * 10 }, // y: pi / 4 + { 10, 1, 10, PAL_EPSILON * 100 }, + { 10, 1.1283791670955126, 13.439377934644400, PAL_EPSILON * 100 }, // y: 2 / sqrt(pi) + { 10, 1.4142135623730950, 25.954553519470081, PAL_EPSILON * 100 }, // y: sqrt(2) + { 10, 1.4426950408889634, 27.713733786437790, PAL_EPSILON * 100 }, // y: log2(e) + { 10, 1.5707963267948966, 37.221710484165167, PAL_EPSILON * 100 }, // y: pi / 2 + { 10, 2.3025850929940457, 200.71743249053009, PAL_EPSILON * 1000 }, // y: ln(10) + { 10, 2.7182818284590452, 522.73529967043665, PAL_EPSILON * 1000 }, // y: e + { 10, 3.1415926535897932, 1385.4557313670111, PAL_EPSILON * 10000 }, // y: pi + { 10, PAL_POSINF, PAL_POSINF, 0 }, + + { PAL_POSINF, PAL_NEGINF, 0, PAL_EPSILON }, + { PAL_POSINF, PAL_POSINF, PAL_POSINF, 0 }, + }; + + if (PAL_Initialize(argc, argv) != 0) + { + return FAIL; + } + + for (int i = 0; i < (sizeof(tests) / sizeof(struct test)); i++) + { + validate(tests[i].x, tests[i].y, tests[i].expected, tests[i].variance); + } + + validate_isnan(-10, -1.5707963267948966); // y: -(pi / 2) + validate_isnan(-10, -0.78539816339744828); // y: -(pi / 4) + validate_isnan(-10, 0.78539816339744828); // y: pi / 4 + validate_isnan(-10, 1.5707963267948966); // y: pi / 2 + + validate_isnan(-2.7182818284590452, -1.5707963267948966); // x: -(e) y: -(pi / 2) + validate_isnan(-2.7182818284590452, -0.78539816339744828); // x: -(e) y: -(pi / 4) + validate_isnan(-2.7182818284590452, 0.78539816339744828); // x: -(e) y: pi / 4 + validate_isnan(-2.7182818284590452, 1.5707963267948966); // x: -(e) y: pi / 2 + + validate_isnan(-1, PAL_NEGINF); + validate_isnan(-1, PAL_POSINF); + + validate_isnan(PAL_NAN, -0.0); + validate_isnan(PAL_NAN, 0); + + validate_isnan(PAL_NEGINF, PAL_NAN); + validate_isnan(PAL_NAN, PAL_NEGINF); + + validate_isnan(PAL_POSINF, PAL_NAN); + validate_isnan(PAL_NAN, PAL_POSINF); + + validate_isnan(PAL_NAN, PAL_NAN); + + PAL_Terminate(); + return PASS; +} |