/* * Licensed to the Apache Software Foundation (ASF) under one or more * contributor license agreements. See the NOTICE file distributed with * this work for additional information regarding copyright ownership. * The ASF licenses this file to You under the Apache License, Version 2.0 * (the "License"); you may not use this file except in compliance with * the License. You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. */ package test.numbers.harmony_math import kotlin.math.* import kotlin.test.* class HarmonyMath { fun assertEquals(expected: Double, actual: Double, tolerance: Double? = null) = assertEquals(null, expected, actual, tolerance) fun assertEquals(expected: Float, actual: Float, tolerance: Float? = null) = assertEquals(null, expected, actual, tolerance) fun Double.Companion.isNaN(v: Double) = v.isNaN() fun Float.Companion.isNaN(v: Float) = v.isNaN() fun pow(a: Double, b: Double) = a.pow(b) fun pow(a: Float, b: Float) = a.pow(b) fun ulp(v: Double) = v.ulp fun ulp(v: Float) = v.ulp fun assertEquals(message: String?, expected: Int, actual: Int) = assertEquals(expected, actual, message) fun assertEquals(message: String?, expected: Long, actual: Long) = assertEquals(expected, actual, message) fun assertEquals(message: String?, expected: Double, actual: Double, tolerance: Double? = null) { val tolerance_ = tolerance?.let { abs(it) } ?: 0.000000000001 if (abs(expected - actual) > tolerance_) { assertEquals(expected, actual, message) } } fun assertEquals(message: String?, expected: Float, actual: Float, tolerance: Float? = null) { val tolerance_ = tolerance?.let { abs(it) } ?: 0.0000001f if (abs(expected - actual) > tolerance_) { assertEquals(expected, actual, message) } } fun assertTrue(message: String? = null, condition: Boolean) = assertTrue(condition, message) internal var HYP = sqrt(2.0) internal var OPP = 1.0 internal var ADJ = 1.0 /* Required to make previous preprocessor flags work - do not remove */ internal var unused = 0 /** * Tests kotlin.math.abs(Double) */ @Test fun absD() { // Test for abs(Double): Double assertTrue("Incorrect Double abs value", abs(-1908.8976) == 1908.8976) assertTrue("Incorrect Double abs value", abs(1908.8976) == 1908.8976) } /** * Tests kotlin.math.abs(float) */ @Test fun absF() { // Test for abs(float): float assertTrue("Incorrect float abs value", abs(-1908.8976f) == 1908.8976f) assertTrue("Incorrect float abs value", abs(1908.8976f) == 1908.8976f) } /** * Tests kotlin.math.abs(int) */ @Test fun absI() { // Test for abs(int): int assertTrue("Incorrect int abs value", abs(-1908897) == 1908897) assertTrue("Incorrect int abs value", abs(1908897) == 1908897) } /** * Tests kotlin.math.abs(long) */ @Test fun absJ() { // Test for abs(long): long assertTrue("Incorrect long abs value", abs(-19088976000089L) == 19088976000089L) assertTrue("Incorrect long abs value", abs(19088976000089L) == 19088976000089L) } /** * Tests kotlin.math.acos(Double) */ @Test fun acosD() { // Test for acos(Double): Double val r = cos(acos(ADJ / HYP)) val lr = r.toBits() val t = (ADJ / HYP).toBits() assertTrue("Returned incorrect arc cosine", lr == t || lr + 1 == t || lr - 1 == t) } /** * Tests kotlin.math.asin(Double) */ @Test fun asinD() { // Test for asin(Double): Double val r = sin(asin(OPP / HYP)) val lr = r.toBits() val t = (OPP / HYP).toBits() assertTrue("Returned incorrect arc sine", lr == t || lr + 1 == t || lr - 1 == t) } /** * Tests kotlin.math.atan(Double) */ @Test fun atanD() { // Test for atan(Double): Double val answer = tan(atan(1.0)) assertTrue("Returned incorrect arc tangent: " + answer, answer <= 1.0 && answer >= 9.9999999999999983E-1) } /** * Tests kotlin.math.atan2(Double, Double) */ @Test fun atan2DD() { // Test for atan2(Double, Double): Double val answer = atan(tan(1.0)) assertTrue("Returned incorrect arc tangent: " + answer, answer <= 1.0 && answer >= 9.9999999999999983E-1) } /** * Tests kotlin.math.ceil(Double) */ @Test fun ceilD() { // Test for ceil(Double): Double assertEquals("Incorrect ceiling for Double", 79.0, ceil(78.89), 0.0) assertEquals("Incorrect ceiling for Double", -78.0, ceil(-78.89), 0.0) } /** * Tests kotlin.math.withSign(Double) */ @Test fun withSign_D() { for (i in COPYSIGN_DD_CASES.indices) { val magnitude = COPYSIGN_DD_CASES[i] val absMagnitudeBits = abs(magnitude).toBits() val negMagnitudeBits = (-abs(magnitude)).toBits() assertTrue("The result should be NaN.", Double.isNaN(Double.NaN.withSign(magnitude))) for (j in COPYSIGN_DD_CASES.indices) { val sign = COPYSIGN_DD_CASES[j] val resultBits = magnitude.withSign(sign).toBits() if (sign > 0 || (+0.0).toBits() == sign.toBits() || 0.0.toBits() == sign.toBits()) { assertEquals( "If the sign is positive, the result should be positive.", absMagnitudeBits, resultBits) } if (sign < 0 || (-0.0).toBits() == sign.toBits()) { assertEquals( "If the sign is negative, the result should be negative.", negMagnitudeBits, resultBits) } } } assertTrue("The result should be NaN.", Double.isNaN(Double.NaN.withSign(Double.NaN))) } /** * Tests kotlin.math.withSign(Float) */ @Test fun withSign_F() { for (i in COPYSIGN_FF_CASES.indices) { val magnitude = COPYSIGN_FF_CASES[i] val absMagnitudeBits = abs(magnitude).toBits() val negMagnitudeBits = (-abs(magnitude)).toBits() assertTrue("The result should be NaN.", Float.isNaN(Float.NaN.withSign(magnitude))) for (j in COPYSIGN_FF_CASES.indices) { val sign = COPYSIGN_FF_CASES[j] val resultBits = magnitude.withSign(sign).toBits() if (sign > 0 || (+0.0f).toBits() == sign.toBits() || 0.0f.toBits() == sign.toBits()) { assertEquals( "If the sign is positive, the result should be positive.", absMagnitudeBits, resultBits) } if (sign < 0 || (-0.0f).toBits() == sign.toBits()) { assertEquals( "If the sign is negative, the result should be negative.", negMagnitudeBits, resultBits) } } } assertTrue("The result should be NaN.", Float.isNaN(Float.NaN.withSign(Float.NaN))) } /** * Tests kotlin.math.cos(Double) */ @Test fun cosD() { // Test for cos(Double): Double assertEquals("Incorrect answer", 1.0, cos(0.0), 0.0) assertEquals("Incorrect answer", 0.5403023058681398, cos(1.0), 0.0) } /** * Tests kotlin.math.cosh(Double) */ @Test fun cosh_D() { // Test for special situations assertTrue(Double.isNaN(cosh(Double.NaN))) assertEquals("Should return POSITIVE_INFINITY", Double.POSITIVE_INFINITY, cosh(Double.POSITIVE_INFINITY), 0.0) assertEquals("Should return POSITIVE_INFINITY", Double.POSITIVE_INFINITY, cosh(Double.NEGATIVE_INFINITY), 0.0) assertEquals("Should return 1.0", 1.0, cosh(+0.0), 0.0) assertEquals("Should return 1.0", 1.0, cosh(-0.0), 0.0) assertEquals("Should return POSITIVE_INFINITY", Double.POSITIVE_INFINITY, cosh(1234.56), 0.0) assertEquals("Should return POSITIVE_INFINITY", Double.POSITIVE_INFINITY, cosh(-1234.56), 0.0) assertEquals("Should return 1.0000000000005", 1.0000000000005, cosh(0.000001), 0.0) assertEquals("Should return 1.0000000000005", 1.0000000000005, cosh(-0.000001), 0.0) assertEquals("Should return 5.212214351945598", 5.212214351945598, cosh(2.33482), 0.0) assertEquals("Should return POSITIVE_INFINITY", Double.POSITIVE_INFINITY, cosh(Double.MAX_VALUE), 0.0) assertEquals("Should return 1.0", 1.0, cosh(Double.MIN_VALUE), 0.0) } /** * Tests kotlin.math.exp(Double) */ @Test fun expD() { // Test for exp(Double): Double assertTrue("Incorrect answer returned for simple power", abs(exp(4.0) - E * E * E * E) < 0.1) assertTrue("Incorrect answer returned for larger power", ln(abs(exp(5.5)) - 5.5) < 10.0) } /** * Tests kotlin.math.expm1(Double) */ @Test fun expm1_D() { // Test for special cases assertTrue("Should return NaN", Double.isNaN(expm1(Double.NaN))) assertEquals("Should return POSITIVE_INFINITY", Double.POSITIVE_INFINITY, expm1(Double.POSITIVE_INFINITY), 0.0) assertEquals("Should return -1.0", -1.0, expm1(Double.NEGATIVE_INFINITY), 0.0) assertEquals(0.0.toBits(), expm1(0.0).toBits()) assertEquals(+0.0.toBits(), expm1(+0.0).toBits()) assertEquals((-0.0).toBits(), expm1(-0.0).toBits()) assertEquals("Should return -9.999950000166666E-6", -9.999950000166666E-6, expm1(-0.00001)) assertEquals("Should return 1.0145103074469635E60", 1.0145103074469635E60, expm1(138.16951162), 0.0) assertEquals("Should return POSITIVE_INFINITY", Double.POSITIVE_INFINITY, expm1(123456789123456789123456789.4521584223), 0.0) assertEquals("Should return POSITIVE_INFINITY", Double.POSITIVE_INFINITY, expm1(Double.MAX_VALUE), 0.0) assertEquals("Should return MIN_VALUE", Double.MIN_VALUE, expm1(Double.MIN_VALUE), 0.0) } /** * Tests kotlin.math.floor(Double) */ @Test fun floorD() { assertEquals("Incorrect floor for int", 42.0, floor(42.0), 0.0) assertEquals("Incorrect floor for -int", -2.0, floor(-2.0), 0.0) assertEquals("Incorrect floor for zero", 0.0, floor(0.0), 0.0) assertEquals("Incorrect floor for +Double", 78.0, floor(78.89), 0.0) assertEquals("Incorrect floor for -Double", -79.0, floor(-78.89), 0.0) assertEquals("floor large +Double", 3.7314645675925406E19, floor(3.7314645675925406E19), 0.0) assertEquals("floor large -Double", -8.173521839218E12, floor(-8.173521839218E12), 0.0) assertEquals("floor small Double", 0.0, floor(1.11895241315E-102), 0.0) // Compare toString representations here since -0.0 = +0.0, and // NaN != NaN and we need to distinguish assertEquals(Double.NaN.toString(), floor(Double.NaN).toString(), "Floor failed for NaN") assertEquals((+0.0).toString(), floor(+0.0).toString(), "Floor failed for +0.0") assertEquals((-0.0).toString(), floor(-0.0).toString(), "Floor failed for -0.0") assertEquals(Double.POSITIVE_INFINITY.toString(), floor(Double.POSITIVE_INFINITY).toString(), "Floor failed for +infinity") assertEquals(Double.NEGATIVE_INFINITY.toString(), floor(Double.NEGATIVE_INFINITY).toString(), "Floor failed for -infinity") } /** * Tests kotlin.math.hypot(Double, Double) */ @Test fun hypot_DD() { // Test for special cases assertEquals("Should return POSITIVE_INFINITY", Double.POSITIVE_INFINITY, hypot(Double.POSITIVE_INFINITY, 1.0), 0.0) assertEquals("Should return POSITIVE_INFINITY", Double.POSITIVE_INFINITY, hypot(Double.NEGATIVE_INFINITY, 123.324), 0.0) assertEquals("Should return POSITIVE_INFINITY", Double.POSITIVE_INFINITY, hypot(-758.2587, Double.POSITIVE_INFINITY), 0.0) assertEquals("Should return POSITIVE_INFINITY", Double.POSITIVE_INFINITY, hypot(5687.21, Double.NEGATIVE_INFINITY), 0.0) assertEquals("Should return POSITIVE_INFINITY", Double.POSITIVE_INFINITY, hypot(Double.POSITIVE_INFINITY, Double.NEGATIVE_INFINITY), 0.0) assertEquals("Should return POSITIVE_INFINITY", Double.POSITIVE_INFINITY, hypot(Double.NEGATIVE_INFINITY, Double.POSITIVE_INFINITY), 0.0) assertTrue("Should be NaN", Double.isNaN(hypot(Double.NaN, 2342301.89843))) assertTrue("Should be NaN", Double.isNaN(hypot(-345.2680, Double.NaN))) assertEquals("Should return 2396424.905416697", 2396424.905416697, hypot(12322.12, -2396393.2258), 0.0) assertEquals("Should return 138.16958070558556", 138.16958070558556, hypot(-138.16951162, 0.13817035864), 0.0) assertEquals("Should return 1.7976931348623157E308", 1.7976931348623157E308, hypot(Double.MAX_VALUE, 211370.35), 0.0) assertEquals("Should return 5413.7185", 5413.7185, hypot( -5413.7185, Double.MIN_VALUE), 0.0) } /** * Tests kotlin.math.IEEEremainder(Double, Double) */ @Test fun IEEEremainderDD() { // Test for IEEEremainder(Double, Double): Double assertEquals("Incorrect remainder returned", 0.0, 1.0.IEEErem(1.0), 0.0) assertTrue("Incorrect remainder returned", 1.32.IEEErem(89.765) >= 1.4705063220631647E-2 || 1.32.IEEErem(89.765) >= 1.4705063220631649E-2) } /** * Tests kotlin.math.ln(Double) */ @Test fun lnD() { // Test for log(Double): Double var d = 10.0 while (d >= -10) { val answer = ln(exp(d)) assertTrue("Answer does not equal expected answer for d = " + d + " answer = " + answer, abs(answer - d) <= abs(d * 0.00000001)) d -= 0.5 } } /** * Tests kotlin.math.log10(Double) */ @Test fun log10_D() { // Test for special cases assertTrue(Double.isNaN(log10(Double.NaN))) assertTrue(Double.isNaN(log10(-2541.05745687234187532))) assertTrue(Double.isNaN(log10(-0.1))) assertEquals(Double.POSITIVE_INFINITY, log10(Double.POSITIVE_INFINITY)) assertEquals(Double.NEGATIVE_INFINITY, log10(0.0)) assertEquals(Double.NEGATIVE_INFINITY, log10(+0.0)) assertEquals(Double.NEGATIVE_INFINITY, log10(-0.0)) assertEquals(3.0, log10(1000.0)) assertEquals(14.0, log10(10.0.pow(14.0))) assertEquals(3.7389561269540406, log10(5482.2158)) assertEquals(14.661551142893833, log10(458723662312872.125782332587)) assertEquals(-0.9083828622192334, log10(0.12348583358871)) assertEquals(308.25471555991675, log10(Double.MAX_VALUE)) assertEquals(-323.3062153431158, log10(Double.MIN_VALUE)) } /** * Tests kotlin.math.ln1p(Double) */ @Test fun ln1p_D() { // Test for special cases assertTrue("Should return NaN", Double.isNaN(ln1p(Double.NaN))) assertTrue("Should return NaN", Double.isNaN(ln1p(-32.0482175))) assertEquals("Should return POSITIVE_INFINITY", Double.POSITIVE_INFINITY, ln1p(Double.POSITIVE_INFINITY), 0.0) assertEquals(0.0.toBits(), ln1p(0.0).toBits()) assertEquals(+0.0.toBits(), ln1p(+0.0).toBits()) assertEquals((-0.0).toBits(), ln1p(-0.0).toBits()) assertEquals("Should return -0.2941782295312541", -0.2941782295312541, ln1p(-0.254856327), 0.0) assertEquals("Should return 7.368050685564151", 7.368050685564151, ln1p(1583.542), 0.0) assertEquals("Should return 0.4633708685409921", 0.4633708685409921, ln1p(0.5894227), 0.0) assertEquals("Should return 709.782712893384", 709.782712893384, ln1p(Double.MAX_VALUE), 0.0) assertEquals("Should return Double.MIN_VALUE", Double.MIN_VALUE, ln1p(Double.MIN_VALUE), 0.0) } /** * Tests kotlin.math.max(Double, Double) */ @Test fun maxDD() { // Test for max(Double, Double): Double assertEquals("Incorrect Double max value", 1908897.6000089, max(-1908897.6000089, 1908897.6000089), 0.0) assertEquals("Incorrect Double max value", 1908897.6000089, max(2.0, 1908897.6000089), 0.0) assertEquals("Incorrect Double max value", -2.0, max(-2.0, -1908897.6000089), 0.0) // Compare toString representations here since -0.0 = +0.0, and // NaN != NaN and we need to distinguish assertEquals((Double.NaN).toString(), max(Double.NaN, 42.0).toString(), "Max failed for NaN") assertEquals((Double.NaN).toString(), max(42.0, Double.NaN).toString(), "Max failed for NaN") assertEquals((+0.0).toString(), max(+0.0, -0.0).toString(), "Max failed for 0.0") assertEquals((+0.0).toString(), max(-0.0, +0.0).toString(), "Max failed for 0.0") assertEquals((-0.0).toString(), max(-0.0, -0.0).toString(), "Max failed for -0.0d") assertEquals((+0.0).toString(), max(+0.0, +0.0).toString(), "Max failed for 0.0") } /** * Tests kotlin.math.max(float, float) */ @Test fun maxFF() { // Test for max(float, float): float assertTrue("Incorrect float max value", max(-1908897.600f, 1908897.600f) == 1908897.600f) assertTrue("Incorrect float max value", max(2.0f, 1908897.600f) == 1908897.600f) assertTrue("Incorrect float max value", max(-2.0f, -1908897.600f) == -2.0f) // Compare toString representations here since -0.0 = +0.0, and // NaN != NaN and we need to distinguish assertEquals(Float.NaN.toString(), max(Float.NaN, 42.0f).toString(), "Max failed for NaN") assertEquals(Float.NaN.toString(), max(42.0f, Float.NaN).toString(), "Max failed for NaN") assertEquals((+0.0f).toString(), max(+0.0f, -0.0f).toString(), "Max failed for 0.0") assertEquals((+0.0f).toString(), max(-0.0f, +0.0f).toString(), "Max failed for 0.0") assertEquals((-0.0f).toString(), max(-0.0f, -0.0f).toString(), "Max failed for -0.0f") assertEquals((+0.0f).toString(), max(+0.0f, +0.0f).toString(), "Max failed for 0.0") } /** * Tests kotlin.math.max(int, int) */ @Test fun maxII() { // Test for max(int, int): int assertEquals("Incorrect int max value", 19088976, max(-19088976, 19088976)) assertEquals("Incorrect int max value", 19088976, max(20, 19088976)) assertEquals("Incorrect int max value", -20, max(-20, -19088976)) } /** * Tests kotlin.math.max(long, long) */ @Test fun maxJJ() { // Test for max(long, long): long assertEquals("Incorrect long max value", 19088976000089L, max(-19088976000089L, 19088976000089L)) assertEquals("Incorrect long max value", 19088976000089L, max(20, 19088976000089L)) assertEquals("Incorrect long max value", -20, max(-20, -19088976000089L)) } /** * Tests kotlin.math.min(Double, Double) */ @Test fun minDD() { // Test for min(Double, Double): Double assertEquals("Incorrect Double min value", -1908897.6000089, min(-1908897.6000089, 1908897.6000089), 0.0) assertEquals("Incorrect Double min value", 2.0, min(2.0, 1908897.6000089), 0.0) assertEquals("Incorrect Double min value", -1908897.6000089, min(-2.0, -1908897.6000089), 0.0) assertEquals("Incorrect Double min value", 1.0, min(1.0, 1.0)) // Compare toString representations here since -0.0 = +0.0, and // NaN != NaN and we need to distinguish assertEquals(Double.NaN.toString(), min(Double.NaN, 42.0).toString(), "Min failed for NaN") assertEquals(Double.NaN.toString(), min(42.0, Double.NaN).toString(), "Min failed for NaN") assertEquals((-0.0).toString(), min(+0.0, -0.0).toString(), "Min failed for -0.0") assertEquals((-0.0).toString(), min(-0.0, +0.0).toString(), "Min failed for -0.0") assertEquals((-0.0).toString(), min(-0.0, -0.0).toString(), "Min failed for -0.0d") assertEquals((+0.0).toString(), min(+0.0, +0.0).toString(), "Min failed for 0.0") } /** * Tests kotlin.math.min(float, float) */ @Test fun minFF() { // Test for min(float, float): float assertTrue("Incorrect float min value", min(-1908897.600f, 1908897.600f) == -1908897.600f) assertTrue("Incorrect float min value", min(2.0f, 1908897.600f) == 2.0f) assertTrue("Incorrect float min value", min(-2.0f, -1908897.600f) == -1908897.600f) assertEquals("Incorrect float min value", 1.0f, min(1.0f, 1.0f)) // Compare toString representations here since -0.0 = +0.0, and // NaN != NaN and we need to distinguish assertEquals(Float.NaN.toString(), min(Float.NaN, 42.0f).toString(), "Min failed for NaN") assertEquals(Float.NaN.toString(), min(42.0f, Float.NaN).toString(), "Min failed for NaN") assertEquals((-0.0f).toString(), min(+0.0f, -0.0f).toString(), "Min failed for -0.0") assertEquals((-0.0f).toString(), min(-0.0f, +0.0f).toString(), "Min failed for -0.0") assertEquals((-0.0f).toString(), min(-0.0f, -0.0f).toString(), "Min failed for -0.0f") assertEquals((+0.0f).toString(), min(+0.0f, +0.0f).toString(), "Min failed for 0.0") } /** * Tests kotlin.math.min(int, int) */ @Test fun minII() { // Test for min(int, int): int assertEquals("Incorrect int min value", -19088976, min(-19088976, 19088976)) assertEquals("Incorrect int min value", 20, min(20, 19088976)) assertEquals("Incorrect int min value", -19088976, min(-20, -19088976)) } /** * @tests java.lang.Math#pow(double, double) */ fun test_powDD() { // Test for method double java.lang.Math.pow(double, double) assertTrue("pow returned incorrect value", 2.0.pow(8.0).toLong() == 256L) assertTrue("pow returned incorrect value", 2.0.pow(-8.0) == 0.00390625) assertEquals("Incorrect root returned1", 2.0, sqrt(sqrt(2.0).pow(4.0)), 0.0) } /** * Tests kotlin.math.round(Double) */ @Test fun roundD() { // Test for round(Double): Double assertEquals("Failed to round properly - up to odd", 3.0, round(2.9), 0.0) assertTrue("Failed to round properly - NaN", Double.isNaN(round(Double.NaN))) assertEquals("Failed to round properly down to even", 2.0, round(2.1), 0.0) assertTrue("Failed to round properly " + 2.5 + " to even", round(2.5) == 2.0) assertTrue("Failed to round properly " + +0.0, round(+0.0) == +0.0) assertTrue("Failed to round properly " + -0.0, round(-0.0) == -0.0) } /** * Tests kotlin.math.sign(Double) */ @Test fun sign_D() { assertTrue(Double.isNaN(sign(Double.NaN))) assertTrue(Double.isNaN(sign(Double.NaN))) assertEquals(0.0.toBits(), sign(0.0).toBits()) assertEquals(+0.0.toBits(), sign(+0.0).toBits()) assertEquals((-0.0).toBits(), sign(-0.0).toBits()) assertEquals(1.0, sign(253681.2187962), 0.0) assertEquals(-1.0, sign(-125874693.56), 0.0) assertEquals(1.0, sign(1.2587E-308), 0.0) assertEquals(-1.0, sign(-1.2587E-308), 0.0) assertEquals(1.0, sign(Double.MAX_VALUE), 0.0) assertEquals(1.0, sign(Double.MIN_VALUE), 0.0) assertEquals(-1.0, sign(-Double.MAX_VALUE), 0.0) assertEquals(-1.0, sign(-Double.MIN_VALUE), 0.0) assertEquals(1.0, sign(Double.POSITIVE_INFINITY), 0.0) assertEquals(-1.0, sign(Double.NEGATIVE_INFINITY), 0.0) } /** * Tests kotlin.math.sign(float) */ @Test fun sign_F() { assertTrue(Float.isNaN(sign(Float.NaN))) assertEquals(0.0f.toBits(), sign(0.0f).toBits()) assertEquals(+0.0f.toBits(), sign(+0.0f).toBits()) assertEquals((-0.0f).toBits(), sign(-0.0f).toBits()) assertEquals(1.0f, sign(253681.2187962f), 0f) assertEquals(-1.0f, sign(-125874693.56f), 0f) assertEquals(1.0f, sign(1.2587E-11f), 0f) assertEquals(-1.0f, sign(-1.2587E-11f), 0f) assertEquals(1.0f, sign(Float.MAX_VALUE), 0f) assertEquals(1.0f, sign(Float.MIN_VALUE), 0f) assertEquals(-1.0f, sign(-Float.MAX_VALUE), 0f) assertEquals(-1.0f, sign(-Float.MIN_VALUE), 0f) assertEquals(1.0f, sign(Float.POSITIVE_INFINITY), 0f) assertEquals(-1.0f, sign(Float.NEGATIVE_INFINITY), 0f) } /** * Tests kotlin.math.sin(Double) */ @Test fun sinD() { // Test for sin(Double): Double assertEquals("Incorrect answer", 0.0, sin(0.0), 0.0) assertEquals("Incorrect answer", 0.8414709848078965, sin(1.0), 0.0) } /** * Tests kotlin.math.sinh(Double) */ @Test fun sinh_D() { // Test for special situations assertTrue("Should return NaN", Double.isNaN(sinh(Double.NaN))) assertEquals("Should return POSITIVE_INFINITY", Double.POSITIVE_INFINITY, sinh(Double.POSITIVE_INFINITY), 0.0) assertEquals("Should return NEGATIVE_INFINITY", Double.NEGATIVE_INFINITY, sinh(Double.NEGATIVE_INFINITY), 0.0) assertEquals(0.0.toBits(), sinh(0.0).toBits()) assertEquals(+0.0.toBits(), sinh(+0.0).toBits()) assertEquals((-0.0).toBits(), sinh(-0.0).toBits()) assertEquals("Should return POSITIVE_INFINITY", Double.POSITIVE_INFINITY, sinh(1234.56), 0.0) assertEquals("Should return NEGATIVE_INFINITY", Double.NEGATIVE_INFINITY, sinh(-1234.56), 0.0) assertEquals("Should return 1.0000000000001666E-6", 1.0000000000001666E-6, sinh(0.000001), 0.0) assertEquals("Should return -1.0000000000001666E-6", -1.0000000000001666E-6, sinh(-0.000001), 0.0) assertEquals("Should return 5.115386441963859", 5.115386441963859, sinh(2.33482)) assertEquals("Should return POSITIVE_INFINITY", Double.POSITIVE_INFINITY, sinh(Double.MAX_VALUE), 0.0) assertEquals("Should return 4.9E-324", 4.9E-324, sinh(Double.MIN_VALUE), 0.0) } /** * Tests kotlin.math.sqrt(Double) */ @Test fun sqrt_D() { // Test for sqrt(Double): Double assertEquals("Incorrect root returned2", 7.0, sqrt(49.0), 0.0) } /** * Tests kotlin.math.tan(Double) */ @Test fun tan_D() { // Test for tan(Double): Double assertEquals("Incorrect answer", 0.0, tan(0.0), 0.0) assertEquals("Incorrect answer", 1.5574077246549023, tan(1.0)) } /** * Tests kotlin.math.tanh(Double) */ @Test fun tanh_D() { // Test for special situations assertTrue("Should return NaN", Double.isNaN(tanh(Double.NaN))) assertEquals("Should return +1.0", +1.0, tanh(Double.POSITIVE_INFINITY), 0.0) assertEquals("Should return -1.0", -1.0, tanh(Double.NEGATIVE_INFINITY), 0.0) assertEquals(0.0.toBits(), tanh(0.0).toBits()) assertEquals(+0.0.toBits(), tanh(+0.0).toBits()) assertEquals((-0.0).toBits(), tanh(-0.0).toBits()) assertEquals("Should return 1.0", 1.0, tanh(1234.56), 0.0) assertEquals("Should return -1.0", -1.0, tanh(-1234.56), 0.0) assertEquals("Should return 9.999999999996666E-7", 9.999999999996666E-7, tanh(0.000001), 0.0) assertEquals("Should return 0.981422884124941", 0.981422884124941, tanh(2.33482), 0.0) assertEquals("Should return 1.0", 1.0, tanh(Double.MAX_VALUE), 0.0) assertEquals("Should return 4.9E-324", 4.9E-324, tanh(Double.MIN_VALUE), 0.0) } /** * Tests kotlin.Double.ulp */ fun test_ulp_D() { // Test for special cases assertTrue("Should return NaN", Double.isNaN(ulp(Double.NaN))) assertEquals("Returned incorrect value", Double.POSITIVE_INFINITY, ulp(Double.POSITIVE_INFINITY), 0.0) assertEquals("Returned incorrect value", Double.POSITIVE_INFINITY, ulp(Double.NEGATIVE_INFINITY), 0.0) assertEquals("Returned incorrect value", Double.MIN_VALUE, ulp(0.0), 0.0) assertEquals("Returned incorrect value", Double.MIN_VALUE, ulp(+0.0), 0.0) assertEquals("Returned incorrect value", Double.MIN_VALUE, ulp(-0.0), 0.0) assertEquals("Returned incorrect value", pow(2.0, 971.0), ulp(Double.MAX_VALUE), 0.0) assertEquals("Returned incorrect value", pow(2.0, 971.0), ulp(-Double.MAX_VALUE), 0.0) assertEquals("Returned incorrect value", Double.MIN_VALUE, ulp(Double.MIN_VALUE), 0.0) assertEquals("Returned incorrect value", Double.MIN_VALUE, ulp(-Double.MIN_VALUE), 0.0) assertEquals("Returned incorrect value", 2.220446049250313E-16, ulp(1.0), 0.0) assertEquals("Returned incorrect value", 2.220446049250313E-16, ulp(-1.0), 0.0) assertEquals("Returned incorrect value", 2.2737367544323206E-13, ulp(1153.0), 0.0) } /** * Tests kotlin.Float.ulp */ fun test_ulp_f() { // Test for special cases assertTrue("Should return NaN", Float.isNaN(ulp(Float.NaN))) assertEquals("Returned incorrect value", Float.POSITIVE_INFINITY, ulp(Float.POSITIVE_INFINITY), 0f) assertEquals("Returned incorrect value", Float.POSITIVE_INFINITY, ulp(Float.NEGATIVE_INFINITY), 0f) assertEquals("Returned incorrect value", Float.MIN_VALUE, ulp(0.0f), 0f) assertEquals("Returned incorrect value", Float.MIN_VALUE, ulp(+0.0f), 0f) assertEquals("Returned incorrect value", Float.MIN_VALUE, ulp(-0.0f), 0f) assertEquals("Returned incorrect value", 2.028241E31f, ulp(Float.MAX_VALUE), 0f) assertEquals("Returned incorrect value", 2.028241E31f, ulp(-Float.MAX_VALUE), 0f) assertEquals("Returned incorrect value", 1.4E-45f, ulp(Float.MIN_VALUE), 0f) assertEquals("Returned incorrect value", 1.4E-45f, ulp(-Float.MIN_VALUE), 0f) assertEquals("Returned incorrect value", 1.1920929E-7f, ulp(1.0f), 0f) assertEquals("Returned incorrect value", 1.1920929E-7f, ulp(-1.0f), 0f) assertEquals("Returned incorrect value", 1.2207031E-4f, ulp(1153.0f), 0f) assertEquals("Returned incorrect value", 5.6E-45f, ulp(9.403954E-38f), 0f) } companion object { const val MIN_NORMAL_D: Double = 2.2250738585072014E-308 const val MIN_NORMAL_F: Float = 1.1754943508222875E-38f /** * cases for test_copySign_DD in est/Strictest */ internal val COPYSIGN_DD_CASES = doubleArrayOf(Double.POSITIVE_INFINITY, Double.MAX_VALUE, 3.4E302, 2.3, MIN_NORMAL_D, MIN_NORMAL_D / 2, Double.MIN_VALUE, +0.0, 0.0, -0.0, -Double.MIN_VALUE, -MIN_NORMAL_D / 2, -MIN_NORMAL_D, -4.5, -3.4E102, -Double.MAX_VALUE, Double.NEGATIVE_INFINITY) /** * cases for test_copySign_FF in est/Strictest */ internal val COPYSIGN_FF_CASES = floatArrayOf(Float.POSITIVE_INFINITY, Float.MAX_VALUE, 3.4E12f, 2.3f, MIN_NORMAL_F, MIN_NORMAL_F / 2, Float.MIN_VALUE, +0.0f, 0.0f, -0.0f, -Float.MIN_VALUE, -MIN_NORMAL_F / 2, -MIN_NORMAL_F, -4.5f, -5.6442E21f, -Float.MAX_VALUE, Float.NEGATIVE_INFINITY) /** * start number cases for test_nextTowards_DD in est/Strictest * NEXTAFTER_DD_START_CASES[i][0] is the start number * NEXTAFTER_DD_START_CASES[i][1] is the nextUp of start number * NEXTAFTER_DD_START_CASES[i][2] is the nextDown of start number */ internal val NEXTAFTER_DD_START_CASES = arrayOf( doubleArrayOf(3.4, 3.4000000000000004, 3.3999999999999995), doubleArrayOf(-3.4, -3.3999999999999995, -3.4000000000000004), doubleArrayOf(3.4233E109, 3.4233000000000005E109, 3.4232999999999996E109), doubleArrayOf(-3.4233E109, -3.4232999999999996E109, -3.4233000000000005E109), doubleArrayOf(+0.0, Double.MIN_VALUE, -Double.MIN_VALUE), doubleArrayOf(0.0, Double.MIN_VALUE, -Double.MIN_VALUE), doubleArrayOf(-0.0, Double.MIN_VALUE, -Double.MIN_VALUE), doubleArrayOf(Double.MIN_VALUE, 1.0E-323, +0.0), doubleArrayOf(-Double.MIN_VALUE, -0.0, -1.0E-323), doubleArrayOf(MIN_NORMAL_D, 2.225073858507202E-308, 2.225073858507201E-308), doubleArrayOf(-MIN_NORMAL_D, -2.225073858507201E-308, -2.225073858507202E-308), doubleArrayOf(Double.MAX_VALUE, Double.POSITIVE_INFINITY, 1.7976931348623155E308), doubleArrayOf(-Double.MAX_VALUE, -1.7976931348623155E308, Double.NEGATIVE_INFINITY), doubleArrayOf(Double.POSITIVE_INFINITY, Double.POSITIVE_INFINITY, Double.MAX_VALUE), doubleArrayOf(Double.NEGATIVE_INFINITY, -Double.MAX_VALUE, Double.NEGATIVE_INFINITY) ) /** * direction number cases for test_nextTowards_DD/test_nextTowards_FD in * est/Strictest */ internal val NEXTAFTER_DD_FD_DIRECTION_CASES = doubleArrayOf(Double.POSITIVE_INFINITY, Double.MAX_VALUE, 8.8, 3.4, 1.4, MIN_NORMAL_D, MIN_NORMAL_D / 2, Double.MIN_VALUE, +0.0, 0.0, -0.0, -Double.MIN_VALUE, -MIN_NORMAL_D / 2, -MIN_NORMAL_D, -1.4, -3.4, -8.8, -Double.MAX_VALUE, Double.NEGATIVE_INFINITY) /** * start number cases for test_nextTowards_FD in est/Strictest * NEXTAFTER_FD_START_CASES[i][0] is the start number * NEXTAFTER_FD_START_CASES[i][1] is the nextUp of start number * NEXTAFTER_FD_START_CASES[i][2] is the nextDown of start number */ internal val NEXTAFTER_FD_START_CASES = arrayOf(floatArrayOf(3.4f, 3.4000003f, 3.3999999f), floatArrayOf(-3.4f, -3.3999999f, -3.4000003f), floatArrayOf(3.4233E19f, 3.4233002E19f, 3.4232998E19f), floatArrayOf(-3.4233E19f, -3.4232998E19f, -3.4233002E19f), floatArrayOf(+0.0f, Float.MIN_VALUE, -Float.MIN_VALUE), floatArrayOf(0.0f, Float.MIN_VALUE, -Float.MIN_VALUE), floatArrayOf(-0.0f, Float.MIN_VALUE, -Float.MIN_VALUE), floatArrayOf(Float.MIN_VALUE, 2.8E-45f, +0.0f), floatArrayOf(-Float.MIN_VALUE, -0.0f, -2.8E-45f), floatArrayOf(MIN_NORMAL_F, 1.1754945E-38f, 1.1754942E-38f), floatArrayOf(-MIN_NORMAL_F, -1.1754942E-38f, -1.1754945E-38f), floatArrayOf(Float.MAX_VALUE, Float.POSITIVE_INFINITY, 3.4028233E38f), floatArrayOf(-Float.MAX_VALUE, -3.4028233E38f, Float.NEGATIVE_INFINITY), floatArrayOf(Float.POSITIVE_INFINITY, Float.POSITIVE_INFINITY, Float.MAX_VALUE), floatArrayOf(Float.NEGATIVE_INFINITY, -Float.MAX_VALUE, Float.NEGATIVE_INFINITY)) } }