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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 fmod return the correct values
+**
+** Dependencies: PAL_Initialize
+** PAL_Terminate
+** Fail
+** fabs
+**
+**===========================================================================*/
+
+#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 numerator; /* second component of the value to test the function with */
+ double denominator; /* first 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 numerator, double denominator, double expected, double variance)
+{
+ double result = fmod(numerator, denominator);
+
+ /*
+ * 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("fmod(%g, %g) returned %20.17g when it should have returned %20.17g",
+ numerator, denominator, result, expected);
+ }
+}
+
+/**
+ * validate
+ *
+ * test validation function for values returning NaN
+ */
+void __cdecl validate_isnan(double numerator, double denominator)
+{
+ double result = fmod(numerator, denominator);
+
+ if (!_isnan(result))
+ {
+ Fail("fmod(%g, %g) returned %20.17g when it should have returned %20.17g",
+ numerator, denominator, result, PAL_NAN);
+ }
+}
+
+/**
+ * main
+ *
+ * executable entry point
+ */
+INT __cdecl main(INT argc, CHAR **argv)
+{
+ struct test tests[] =
+ {
+ /* numerator denominator expected variance */
+ { 0, PAL_POSINF, 0, PAL_EPSILON },
+ { 0.31296179620778659, 0.94976571538163866, 0.31296179620778658, PAL_EPSILON },
+ { 0.42077048331375735, 0.90716712923909839, 0.42077048331375733, PAL_EPSILON },
+ { 0.59448076852482208, 0.80410982822879171, 0.59448076852482212, PAL_EPSILON },
+ { 0.63896127631363480, 0.76923890136397213, 0.63896127631363475, PAL_EPSILON },
+ { 0.64963693908006244, 0.76024459707563015, 0.64963693908006248, PAL_EPSILON },
+ { 0.70710678118654752, 0.70710678118654752, 0, PAL_EPSILON },
+ { 1, 1, 0, PAL_EPSILON },
+ { 0.84147098480789651, 0.54030230586813972, 0.30116867893975674, PAL_EPSILON },
+ { 0.90371945743584630, 0.42812514788535792, 0.047469161665130377, PAL_EPSILON / 10 },
+ { 0.98776594599273553, 0.15594369476537447, 0.052103777400488605, PAL_EPSILON / 10 },
+ { 0.99180624439366372, 0.12775121753523991, 0.097547721646984359, PAL_EPSILON / 10 },
+ { 0.74398033695749319, -0.66820151019031295, 0.075778826767180285, PAL_EPSILON / 10 },
+ { 0.41078129050290870, -0.91173391478696510, 0.41078129050290868, PAL_EPSILON },
+ { 0, -1, 0, PAL_EPSILON },
+ { 1, PAL_POSINF, 1, PAL_EPSILON * 10 },
+ };
+
+
+ // PAL initialization
+ if (PAL_Initialize(argc, argv) != 0)
+ {
+ return FAIL;
+ }
+
+ for (int i = 0; i < (sizeof(tests) / sizeof(struct test)); i++)
+ {
+ validate( tests[i].numerator, tests[i].denominator, tests[i].expected, tests[i].variance);
+ validate(-tests[i].numerator, tests[i].denominator, -tests[i].expected, tests[i].variance);
+ validate( tests[i].numerator, -tests[i].denominator, tests[i].expected, tests[i].variance);
+ validate(-tests[i].numerator, -tests[i].denominator, -tests[i].expected, tests[i].variance);
+ }
+
+ validate_isnan( 0, 0);
+ validate_isnan(-0.0, 0);
+ validate_isnan( 0, -0.0);
+ validate_isnan(-0.0, -0.0);
+
+ validate_isnan( 1, 0);
+ validate_isnan(-1.0, 0);
+ validate_isnan( 1, -0.0);
+ validate_isnan(-1.0, -0.0);
+
+ validate_isnan(PAL_POSINF, PAL_POSINF);
+ validate_isnan(PAL_NEGINF, PAL_POSINF);
+ validate_isnan(PAL_POSINF, PAL_NEGINF);
+ validate_isnan(PAL_NEGINF, PAL_NEGINF);
+
+ validate_isnan(PAL_POSINF, 0);
+ validate_isnan(PAL_NEGINF, 0);
+ validate_isnan(PAL_POSINF, -0.0);
+ validate_isnan(PAL_NEGINF, -0.0);
+
+ validate_isnan(PAL_POSINF, 1);
+ validate_isnan(PAL_NEGINF, 1);
+ validate_isnan(PAL_POSINF, -1.0);
+ validate_isnan(PAL_NEGINF, -1.0);
+
+ PAL_Terminate();
+ return PASS;
+}