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// 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: Test to ensure that acosf return the correct values
**
** Dependencies: PAL_Initialize
** PAL_Terminate
** Fail
** fabs
**
**===========================================================================*/
#include <palsuite.h>
// binary32 (float) has a machine epsilon of 2^-23 (approx. 1.19e-07). However, this
// is slightly too accurate when writing tests meant to run against libm implementations
// for various platforms. 2^-21 (approx. 4.76e-07) 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 (6-9 digits).
// For example, a test with an expect result in the format of 0.xxxxxxxxx will use PAL_EPSILON
// for the variance, while an expected result in the format of 0.0xxxxxxxxx will use
// PAL_EPSILON / 10 and and expected result in the format of x.xxxxxx will use PAL_EPSILON * 10.
#define PAL_EPSILON 4.76837158e-07
#define PAL_NAN sqrtf(-1.0f)
#define PAL_POSINF -logf(0.0f)
#define PAL_NEGINF logf(0.0f)
/**
* Helper test structure
*/
struct test
{
float value; /* value to test the function with */
float expected; /* expected result */
float variance; /* maximum delta between the expected and actual result */
};
/**
* validate
*
* test validation function
*/
void __cdecl validate(float value, float expected, float variance)
{
float result = acosf(value);
/*
* The test is valid when the difference between result
* and expected is less than or equal to variance
*/
float delta = fabsf(result - expected);
if (delta > variance)
{
Fail("acosf(%g) returned %10.9g when it should have returned %10.9g",
value, result, expected);
}
}
/**
* validate
*
* test validation function for values returning NaN
*/
void __cdecl validate_isnan(float value)
{
float result = acosf(value);
if (!_isnanf(result))
{
Fail("acosf(%g) returned %10.9g when it should have returned %10.9g",
value, result, PAL_NAN);
}
}
/**
* main
*
* executable entry point
*/
int __cdecl main(int argc, char **argv)
{
struct test tests[] =
{
/* value expected variance */
{ -1, 3.14159265f, PAL_EPSILON * 10 }, // expected: pi
{ -0.911733915f, 2.71828183f, PAL_EPSILON * 10 }, // expected: e
{ -0.668201510f, 2.30258509f, PAL_EPSILON * 10 }, // expected: ln(10)
{ 0, 1.57079633f, PAL_EPSILON * 10 }, // expected: pi / 2
{ 0.127751218f, 1.44269504f, PAL_EPSILON * 10 }, // expected: logf2(e)
{ 0.155943695f, 1.41421356f, PAL_EPSILON * 10 }, // expected: sqrtf(2)
{ 0.428125148f, 1.12837917f, PAL_EPSILON * 10 }, // expected: 2 / sqrtf(pi)
{ 0.540302306f, 1, PAL_EPSILON * 10 },
{ 0.707106781f, 0.785398163f, PAL_EPSILON }, // expected: pi / 4, value: 1 / sqrtf(2)
{ 0.760244597f, 0.707106781f, PAL_EPSILON }, // expected: 1 / sqrtf(2)
{ 0.769238901f, 0.693147181f, PAL_EPSILON }, // expected: ln(2)
{ 0.804109828f, 0.636619772f, PAL_EPSILON }, // expected: 2 / pi
{ 0.907167129f, 0.434294482f, PAL_EPSILON }, // expected: logf10f(e)
{ 0.949765715f, 0.318309886f, PAL_EPSILON }, // expected: 1 / pi
{ 1, 0, PAL_EPSILON },
};
/* PAL initialization */
if (PAL_Initialize(argc, argv) != 0)
{
return FAIL;
}
for (int i = 0; i < (sizeof(tests) / sizeof(struct test)); i++)
{
validate(tests[i].value, tests[i].expected, tests[i].variance);
}
validate_isnan(PAL_NEGINF);
validate_isnan(PAL_NAN);
validate_isnan(PAL_POSINF);
PAL_Terminate();
return PASS;
}
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