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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 asin 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 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 = asin(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("asin(%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 = asin(value);
+
+ if (!_isnan(result))
+ {
+ Fail("asin(%g) returned %20.17g when it should have returned %20.17g",
+ value, result, PAL_NAN);
+ }
+}
+
+/**
+ * validate
+ *
+ * test validation function for values returning +INF
+ */
+void __cdecl validate_isinf_positive(double value)
+{
+ double result = asin(value);
+
+ if (result != PAL_POSINF)
+ {
+ Fail("asin(%g) returned %20.17g when it should have returned %20.17g",
+ value, result, PAL_POSINF);
+ }
+}
+
+/**
+ * main
+ *
+ * executable entry point
+ */
+int __cdecl main(int argc, char **argv)
+{
+ struct test tests[] =
+ {
+ /* value expected variance */
+ { 0, 0, PAL_EPSILON },
+ { 0.31296179620778659, 0.31830988618379067, PAL_EPSILON }, // expected: 1 / pi
+ { 0.41078129050290870, 0.42331082513074800, PAL_EPSILON }, // expected: pi - e
+ { 0.42077048331375735, 0.43429448190325183, PAL_EPSILON }, // expected: log10(e)
+ { 0.59448076852482208, 0.63661977236758134, PAL_EPSILON }, // expected: 2 / pi
+ { 0.63896127631363480, 0.69314718055994531, PAL_EPSILON }, // expected: ln(2)
+ { 0.64963693908006244, 0.70710678118654752, PAL_EPSILON }, // expected: 1 / sqrt(2)
+ { 0.70710678118654752, 0.78539816339744831, PAL_EPSILON }, // expected: pi / 4, value: 1 / sqrt(2)
+ { 0.74398033695749319, 0.83900756059574755, PAL_EPSILON }, // expected: pi - ln(10)
+ { 0.84147098480789651, 1, PAL_EPSILON * 10 },
+ { 0.90371945743584630, 1.1283791670955126, PAL_EPSILON * 10 }, // expected: 2 / sqrt(pi)
+ { 0.98776594599273553, 1.4142135623730950, PAL_EPSILON * 10 }, // expected: sqrt(2)
+ { 0.99180624439366372, 1.4426950408889634, PAL_EPSILON * 10 }, // expected: log2(e)
+ { 1, 1.5707963267948966, PAL_EPSILON * 10 }, // expected: pi / 2
+ };
+
+ /* 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(-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;
+}