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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: Call the sqrt function on a positive value, a positive value
** with a decimal and on the maxium possible double value.
**
**
**===================================================================*/
#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 value; /* 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 value, double expected, double variance)
{
double result = sqrt(value);
/*
* 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("sqrt(%g) returned %20.17g when it should have returned %20.17g",
value, result, expected);
}
}
/**
* validate
*
* test validation function for values returning NaN
*/
void __cdecl validate_isnan(double value)
{
double result = sqrt(value);
if (!_isnan(result))
{
Fail("sqrt(%g) returned %20.17g when it should have returned %20.17g",
value, result, PAL_NAN);
}
}
int __cdecl main(int argc, char **argv)
{
struct test tests[] =
{
/* value expected variance */
{ 0.31830988618379067, 0.56418958354775629, PAL_EPSILON }, // value: 1 / pi
{ 0.43429448190325183, 0.65901022898226081, PAL_EPSILON }, // value: log10(e)
{ 0.63661977236758134, 0.79788456080286536, PAL_EPSILON }, // value: 2 / pi
{ 0.69314718055994531, 0.83255461115769776, PAL_EPSILON }, // value: ln(2)
{ 0.70710678118654752, 0.84089641525371454, PAL_EPSILON }, // value: 1 / sqrt(2)
{ 0.78539816339744831, 0.88622692545275801, PAL_EPSILON }, // value: pi / 4
{ 1, 1, PAL_EPSILON * 10 },
{ 1.1283791670955126, 1.0622519320271969, PAL_EPSILON * 10 }, // value: 2 / sqrt(pi)
{ 1.4142135623730950, 1.1892071150027211, PAL_EPSILON * 10 }, // value: sqrt(2)
{ 1.4426950408889634, 1.2011224087864498, PAL_EPSILON * 10 }, // value: log2(e)
{ 1.5707963267948966, 1.2533141373155003, PAL_EPSILON * 10 }, // value: pi / 2
{ 2.3025850929940457, 1.5174271293851464, PAL_EPSILON * 10 }, // value: ln(10)
{ 2.7182818284590452, 1.6487212707001281, PAL_EPSILON * 10 }, // value: e
{ 3.1415926535897932, 1.7724538509055160, PAL_EPSILON * 10 }, // value: pi
};
/* PAL initialization */
if (PAL_Initialize(argc, argv) != 0)
{
return FAIL;
}
validate(-0.0, -0.0, PAL_EPSILON);
validate( 0.0, 0.0, PAL_EPSILON);
for (int i = 0; i < (sizeof(tests) / sizeof(struct test)); i++)
{
validate(tests[i].value, tests[i].expected, tests[i].variance);
validate_isnan(-tests[i].value);
}
validate_isnan(PAL_NAN);
PAL_Terminate();
return PASS;
}
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