| /* |
| * 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 org.apache.harmony.tests.java.lang; |
| |
| public class MathTest extends junit.framework.TestCase { |
| |
| double HYP = Math.sqrt(2.0); |
| |
| double OPP = 1.0; |
| |
| double ADJ = 1.0; |
| |
| /* Required to make previous preprocessor flags work - do not remove */ |
| int unused = 0; |
| |
| /** |
| * java.lang.Math#abs(double) |
| */ |
| public void test_absD() { |
| // Test for method double java.lang.Math.abs(double) |
| |
| assertTrue("Incorrect double abs value", |
| (Math.abs(-1908.8976) == 1908.8976)); |
| assertTrue("Incorrect double abs value", |
| (Math.abs(1908.8976) == 1908.8976)); |
| } |
| |
| /** |
| * java.lang.Math#abs(float) |
| */ |
| public void test_absF() { |
| // Test for method float java.lang.Math.abs(float) |
| assertTrue("Incorrect float abs value", |
| (Math.abs(-1908.8976f) == 1908.8976f)); |
| assertTrue("Incorrect float abs value", |
| (Math.abs(1908.8976f) == 1908.8976f)); |
| } |
| |
| /** |
| * java.lang.Math#abs(int) |
| */ |
| public void test_absI() { |
| // Test for method int java.lang.Math.abs(int) |
| assertTrue("Incorrect int abs value", (Math.abs(-1908897) == 1908897)); |
| assertTrue("Incorrect int abs value", (Math.abs(1908897) == 1908897)); |
| } |
| |
| /** |
| * java.lang.Math#abs(long) |
| */ |
| public void test_absJ() { |
| // Test for method long java.lang.Math.abs(long) |
| assertTrue("Incorrect long abs value", |
| (Math.abs(-19088976000089L) == 19088976000089L)); |
| assertTrue("Incorrect long abs value", |
| (Math.abs(19088976000089L) == 19088976000089L)); |
| } |
| |
| /** |
| * java.lang.Math#acos(double) |
| */ |
| public void test_acosD() { |
| // Test for method double java.lang.Math.acos(double) |
| double r = Math.cos(Math.acos(ADJ / HYP)); |
| long lr = Double.doubleToLongBits(r); |
| long t = Double.doubleToLongBits(ADJ / HYP); |
| assertTrue("Returned incorrect arc cosine", lr == t || (lr + 1) == t |
| || (lr - 1) == t); |
| } |
| |
| /** |
| * java.lang.Math#asin(double) |
| */ |
| public void test_asinD() { |
| // Test for method double java.lang.Math.asin(double) |
| double r = Math.sin(Math.asin(OPP / HYP)); |
| long lr = Double.doubleToLongBits(r); |
| long t = Double.doubleToLongBits(OPP / HYP); |
| assertTrue("Returned incorrect arc sine", lr == t || (lr + 1) == t |
| || (lr - 1) == t); |
| } |
| |
| /** |
| * java.lang.Math#atan(double) |
| */ |
| public void test_atanD() { |
| // Test for method double java.lang.Math.atan(double) |
| double answer = Math.tan(Math.atan(1.0)); |
| assertTrue("Returned incorrect arc tangent: " + answer, answer <= 1.0 |
| && answer >= 9.9999999999999983E-1); |
| } |
| |
| /** |
| * java.lang.Math#atan2(double, double) |
| */ |
| public void test_atan2DD() { |
| // Test for method double java.lang.Math.atan2(double, double) |
| double answer = Math.atan(Math.tan(1.0)); |
| assertTrue("Returned incorrect arc tangent: " + answer, answer <= 1.0 |
| && answer >= 9.9999999999999983E-1); |
| } |
| |
| /** |
| * java.lang.Math#cbrt(double) |
| */ |
| public void test_cbrt_D() { |
| //Test for special situations |
| assertTrue(Double.isNaN(Math.cbrt(Double.NaN))); |
| assertEquals(Double.POSITIVE_INFINITY, Math.cbrt(Double.POSITIVE_INFINITY), 0D); |
| assertEquals(Double.NEGATIVE_INFINITY, Math.cbrt(Double.NEGATIVE_INFINITY), 0D); |
| assertEquals(Double.doubleToLongBits(0.0), Double.doubleToLongBits(Math.cbrt(0.0))); |
| assertEquals(Double.doubleToLongBits(+0.0), Double.doubleToLongBits(Math.cbrt(+0.0))); |
| assertEquals(Double.doubleToLongBits(-0.0), Double.doubleToLongBits(Math.cbrt(-0.0))); |
| |
| assertEquals(3.0, Math.cbrt(27.0), 0D); |
| assertEquals(23.111993172558684, Math.cbrt(12345.6), Math.ulp(23.111993172558684)); |
| assertEquals(5.643803094122362E102, Math.cbrt(Double.MAX_VALUE), 0D); |
| assertEquals(0.01, Math.cbrt(0.000001), 0D); |
| |
| assertEquals(-3.0, Math.cbrt(-27.0), 0D); |
| assertEquals(-23.111993172558684, Math.cbrt(-12345.6), Math.ulp(-23.111993172558684)); |
| assertEquals(1.7031839360032603E-108, Math.cbrt(Double.MIN_VALUE), 0D); |
| assertEquals(-0.01, Math.cbrt(-0.000001), 0D); |
| } |
| |
| /** |
| * java.lang.Math#ceil(double) |
| */ |
| public void test_ceilD() { |
| // Test for method double java.lang.Math.ceil(double) |
| assertEquals("Incorrect ceiling for double", |
| 79, Math.ceil(78.89), 0); |
| assertEquals("Incorrect ceiling for double", |
| -78, Math.ceil(-78.89), 0); |
| } |
| |
| /** |
| * cases for test_copySign_DD in MathTest/StrictMathTest |
| */ |
| static final double[] COPYSIGN_DD_CASES = new double[] { |
| Double.POSITIVE_INFINITY, Double.MAX_VALUE, 3.4E302, 2.3, |
| Double.MIN_NORMAL, Double.MIN_NORMAL / 2, Double.MIN_VALUE, +0.0, |
| 0.0, -0.0, -Double.MIN_VALUE, -Double.MIN_NORMAL / 2, |
| -Double.MIN_NORMAL, -4.5, -3.4E102, -Double.MAX_VALUE, |
| Double.NEGATIVE_INFINITY }; |
| |
| /** |
| * {@link java.lang.Math#copySign(double, double)} |
| * @since 1.6 |
| */ |
| @SuppressWarnings("boxing") |
| public void test_copySign_DD() { |
| for (int i = 0; i < COPYSIGN_DD_CASES.length; i++) { |
| final double magnitude = COPYSIGN_DD_CASES[i]; |
| final long absMagnitudeBits = Double.doubleToLongBits(Math |
| .abs(magnitude)); |
| final long negMagnitudeBits = Double.doubleToLongBits(-Math |
| .abs(magnitude)); |
| |
| // cases for NaN |
| assertEquals("If the sign is NaN, the result should be positive.", |
| absMagnitudeBits, Double.doubleToLongBits(Math.copySign( |
| magnitude, Double.NaN))); |
| assertTrue("The result should be NaN.", Double.isNaN(Math.copySign( |
| Double.NaN, magnitude))); |
| |
| for (int j = 0; j < COPYSIGN_DD_CASES.length; j++) { |
| final double sign = COPYSIGN_DD_CASES[j]; |
| final long resultBits = Double.doubleToLongBits(Math.copySign( |
| magnitude, sign)); |
| |
| if (sign > 0 || Double.valueOf(+0.0).equals(sign) |
| || Double.valueOf(0.0).equals(sign)) { |
| assertEquals( |
| "If the sign is positive, the result should be positive.", |
| absMagnitudeBits, resultBits); |
| } |
| if (sign < 0 || Double.valueOf(-0.0).equals(sign)) { |
| assertEquals( |
| "If the sign is negative, the result should be negative.", |
| negMagnitudeBits, resultBits); |
| } |
| } |
| } |
| |
| assertTrue("The result should be NaN.", Double.isNaN(Math.copySign( |
| Double.NaN, Double.NaN))); |
| |
| try { |
| Math.copySign((Double) null, 2.3); |
| fail("Should throw NullPointerException"); |
| } catch (NullPointerException e) { |
| // Expected |
| } |
| try { |
| Math.copySign(2.3, (Double) null); |
| fail("Should throw NullPointerException"); |
| } catch (NullPointerException e) { |
| // Expected |
| } |
| try { |
| Math.copySign((Double) null, (Double) null); |
| fail("Should throw NullPointerException"); |
| } catch (NullPointerException e) { |
| // Expected |
| } |
| } |
| |
| /** |
| * cases for test_copySign_FF in MathTest/StrictMathTest |
| */ |
| static final float[] COPYSIGN_FF_CASES = new float[] { |
| Float.POSITIVE_INFINITY, Float.MAX_VALUE, 3.4E12f, 2.3f, |
| Float.MIN_NORMAL, Float.MIN_NORMAL / 2, Float.MIN_VALUE, +0.0f, |
| 0.0f, -0.0f, -Float.MIN_VALUE, -Float.MIN_NORMAL / 2, |
| -Float.MIN_NORMAL, -4.5f, -5.6442E21f, -Float.MAX_VALUE, |
| Float.NEGATIVE_INFINITY }; |
| |
| /** |
| * {@link java.lang.Math#copySign(float, float)} |
| * @since 1.6 |
| */ |
| @SuppressWarnings("boxing") |
| public void test_copySign_FF() { |
| for (int i = 0; i < COPYSIGN_FF_CASES.length; i++) { |
| final float magnitude = COPYSIGN_FF_CASES[i]; |
| final int absMagnitudeBits = Float.floatToIntBits(Math |
| .abs(magnitude)); |
| final int negMagnitudeBits = Float.floatToIntBits(-Math |
| .abs(magnitude)); |
| |
| // cases for NaN |
| assertEquals("If the sign is NaN, the result should be positive.", |
| absMagnitudeBits, Float.floatToIntBits(Math.copySign( |
| magnitude, Float.NaN))); |
| assertTrue("The result should be NaN.", Float.isNaN(Math.copySign( |
| Float.NaN, magnitude))); |
| |
| for (int j = 0; j < COPYSIGN_FF_CASES.length; j++) { |
| final float sign = COPYSIGN_FF_CASES[j]; |
| final int resultBits = Float.floatToIntBits(Math.copySign( |
| magnitude, sign)); |
| if (sign > 0 || Float.valueOf(+0.0f).equals(sign) |
| || Float.valueOf(0.0f).equals(sign)) { |
| assertEquals( |
| "If the sign is positive, the result should be positive.", |
| absMagnitudeBits, resultBits); |
| } |
| if (sign < 0 || Float.valueOf(-0.0f).equals(sign)) { |
| assertEquals( |
| "If the sign is negative, the result should be negative.", |
| negMagnitudeBits, resultBits); |
| } |
| } |
| } |
| |
| assertTrue("The result should be NaN.", Float.isNaN(Math.copySign( |
| Float.NaN, Float.NaN))); |
| |
| try { |
| Math.copySign((Float) null, 2.3f); |
| fail("Should throw NullPointerException"); |
| } catch (NullPointerException e) { |
| // Expected |
| } |
| try { |
| Math.copySign(2.3f, (Float) null); |
| fail("Should throw NullPointerException"); |
| } catch (NullPointerException e) { |
| // Expected |
| } |
| try { |
| Math.copySign((Float) null, (Float) null); |
| fail("Should throw NullPointerException"); |
| } catch (NullPointerException e) { |
| // Expected |
| } |
| } |
| |
| /** |
| * java.lang.Math#cos(double) |
| */ |
| public void test_cosD() { |
| // Test for method double java.lang.Math.cos(double) |
| assertEquals("Incorrect answer", 1.0, Math.cos(0), 0D); |
| assertEquals("Incorrect answer", 0.5403023058681398, Math.cos(1), 0D); |
| } |
| |
| /** |
| * java.lang.Math#cosh(double) |
| */ |
| public void test_cosh_D() { |
| // Test for special situations |
| assertTrue(Double.isNaN(Math.cosh(Double.NaN))); |
| assertEquals("Should return POSITIVE_INFINITY", |
| Double.POSITIVE_INFINITY, Math.cosh(Double.POSITIVE_INFINITY), 0D); |
| assertEquals("Should return POSITIVE_INFINITY", |
| Double.POSITIVE_INFINITY, Math.cosh(Double.NEGATIVE_INFINITY), 0D); |
| assertEquals("Should return 1.0", 1.0, Math.cosh(+0.0), 0D); |
| assertEquals("Should return 1.0", 1.0, Math.cosh(-0.0), 0D); |
| |
| assertEquals("Should return POSITIVE_INFINITY", |
| Double.POSITIVE_INFINITY, Math.cosh(1234.56), 0D); |
| assertEquals("Should return POSITIVE_INFINITY", |
| Double.POSITIVE_INFINITY, Math.cosh(-1234.56), 0D); |
| assertEquals("Should return 1.0000000000005", 1.0000000000005, Math |
| .cosh(0.000001), 0D); |
| assertEquals("Should return 1.0000000000005", 1.0000000000005, Math |
| .cosh(-0.000001), 0D); |
| assertEquals("Should return 5.212214351945598", 5.212214351945598, Math |
| .cosh(2.33482), 0D); |
| |
| assertEquals("Should return POSITIVE_INFINITY", |
| Double.POSITIVE_INFINITY, Math.cosh(Double.MAX_VALUE), 0D); |
| assertEquals("Should return 1.0", 1.0, Math.cosh(Double.MIN_VALUE), 0D); |
| } |
| |
| /** |
| * java.lang.Math#exp(double) |
| */ |
| public void test_expD() { |
| // Test for method double java.lang.Math.exp(double) |
| assertTrue("Incorrect answer returned for simple power", Math.abs(Math |
| .exp(4D) |
| - Math.E * Math.E * Math.E * Math.E) < 0.1D); |
| assertTrue("Incorrect answer returned for larger power", Math.log(Math |
| .abs(Math.exp(5.5D)) - 5.5D) < 10.0D); |
| } |
| |
| /** |
| * java.lang.Math#expm1(double) |
| */ |
| public void test_expm1_D() { |
| // Test for special cases |
| assertTrue("Should return NaN", Double.isNaN(Math.expm1(Double.NaN))); |
| assertEquals("Should return POSITIVE_INFINITY", |
| Double.POSITIVE_INFINITY, Math.expm1(Double.POSITIVE_INFINITY), 0D); |
| assertEquals("Should return -1.0", -1.0, Math |
| .expm1(Double.NEGATIVE_INFINITY), 0D); |
| assertEquals(Double.doubleToLongBits(0.0), Double.doubleToLongBits(Math |
| .expm1(0.0))); |
| assertEquals(Double.doubleToLongBits(+0.0), Double |
| .doubleToLongBits(Math.expm1(+0.0))); |
| assertEquals(Double.doubleToLongBits(-0.0), Double |
| .doubleToLongBits(Math.expm1(-0.0))); |
| |
| assertEquals("Should return -9.999950000166666E-6", |
| -9.999950000166666E-6, Math.expm1(-0.00001), 0D); |
| assertEquals("Should return 1.0145103074469635E60", |
| 1.0145103074469635E60, Math.expm1(138.16951162), 0D); |
| assertEquals("Should return POSITIVE_INFINITY", |
| Double.POSITIVE_INFINITY, Math |
| .expm1(123456789123456789123456789.4521584223), 0D); |
| assertEquals("Should return POSITIVE_INFINITY", |
| Double.POSITIVE_INFINITY, Math.expm1(Double.MAX_VALUE), 0D); |
| assertEquals("Should return MIN_VALUE", Double.MIN_VALUE, Math |
| .expm1(Double.MIN_VALUE), 0D); |
| } |
| |
| /** |
| * java.lang.Math#floor(double) |
| */ |
| public void test_floorD() { |
| assertEquals("Incorrect floor for int", 42, Math.floor(42), 0); |
| assertEquals("Incorrect floor for -int", -2, Math.floor(-2), 0); |
| assertEquals("Incorrect floor for zero", 0d, Math.floor(0d), 0); |
| |
| assertEquals("Incorrect floor for +double", 78, Math.floor(78.89), 0); |
| assertEquals("Incorrect floor for -double", -79, Math.floor(-78.89), 0); |
| assertEquals("floor large +double", 3.7314645675925406E19, Math.floor(3.7314645675925406E19), 0); |
| assertEquals("floor large -double", -8.173521839218E12, Math.floor(-8.173521839218E12), 0); |
| assertEquals("floor small double", 0.0d, Math.floor(1.11895241315E-102), 0); |
| |
| // Compare toString representations here since -0.0 = +0.0, and |
| // NaN != NaN and we need to distinguish |
| assertEquals("Floor failed for NaN", |
| Double.toString(Double.NaN), Double.toString(Math.floor(Double.NaN))); |
| assertEquals("Floor failed for +0.0", |
| Double.toString(+0.0d), Double.toString(Math.floor(+0.0d))); |
| assertEquals("Floor failed for -0.0", |
| Double.toString(-0.0d), Double.toString(Math.floor(-0.0d))); |
| assertEquals("Floor failed for +infinity", |
| Double.toString(Double.POSITIVE_INFINITY), Double.toString(Math.floor(Double.POSITIVE_INFINITY))); |
| assertEquals("Floor failed for -infinity", |
| Double.toString(Double.NEGATIVE_INFINITY), Double.toString(Math.floor(Double.NEGATIVE_INFINITY))); |
| } |
| |
| /** |
| * cases for test_getExponent_D in MathTest/StrictMathTest |
| */ |
| static final double GETEXPONENT_D_CASES[] = new double[] { |
| Double.POSITIVE_INFINITY, Double.NEGATIVE_INFINITY, |
| Double.MAX_VALUE, -Double.MAX_VALUE, 2.342E231, -2.342E231, 2800.0, |
| -2800.0, 5.323, -5.323, 1.323, -1.323, 0.623, -0.623, 0.323, |
| -0.323, Double.MIN_NORMAL * 24, -Double.MIN_NORMAL * 24, |
| Double.MIN_NORMAL, -Double.MIN_NORMAL, Double.MIN_NORMAL / 2, |
| -Double.MIN_NORMAL / 2, Double.MIN_VALUE, -Double.MIN_VALUE, +0.0, |
| 0.0, -0.0, Double.NaN }; |
| |
| /** |
| * result for test_getExponent_D in MathTest/StrictMathTest |
| */ |
| static final int GETEXPONENT_D_RESULTS[] = new int[] { |
| Double.MAX_EXPONENT + 1, Double.MAX_EXPONENT + 1, |
| Double.MAX_EXPONENT, Double.MAX_EXPONENT, 768, 768, 11, 11, 2, 2, |
| 0, 0, -1, -1, -2, -2, -1018, -1018, Double.MIN_EXPONENT, |
| Double.MIN_EXPONENT, Double.MIN_EXPONENT - 1, |
| Double.MIN_EXPONENT - 1, Double.MIN_EXPONENT - 1, |
| Double.MIN_EXPONENT - 1, Double.MIN_EXPONENT - 1, |
| Double.MIN_EXPONENT - 1, Double.MIN_EXPONENT - 1, |
| Double.MAX_EXPONENT + 1 }; |
| |
| /** |
| * {@link java.lang.Math#getExponent(double)} |
| * @since 1.6 |
| */ |
| @SuppressWarnings("boxing") |
| public void test_getExponent_D() { |
| for (int i = 0; i < GETEXPONENT_D_CASES.length; i++) { |
| final double number = GETEXPONENT_D_CASES[i]; |
| final int result = GETEXPONENT_D_RESULTS[i]; |
| assertEquals("Wrong result of getExponent(double).", result, Math |
| .getExponent(number)); |
| } |
| |
| try { |
| Math.getExponent((Double) null); |
| fail("Should throw NullPointerException"); |
| } catch (NullPointerException e) { |
| // Expected |
| } |
| } |
| |
| /** |
| * cases for test_getExponent_F in MathTest/StrictMathTest |
| */ |
| static final float GETEXPONENT_F_CASES[] = new float[] { |
| Float.POSITIVE_INFINITY, Float.NEGATIVE_INFINITY, Float.MAX_VALUE, |
| -Float.MAX_VALUE, 3.4256E23f, -3.4256E23f, 2800.0f, -2800.0f, |
| 5.323f, -5.323f, 1.323f, -1.323f, 0.623f, -0.623f, 0.323f, -0.323f, |
| Float.MIN_NORMAL * 24, -Float.MIN_NORMAL * 24, Float.MIN_NORMAL, |
| -Float.MIN_NORMAL, Float.MIN_NORMAL / 2, -Float.MIN_NORMAL / 2, |
| Float.MIN_VALUE, -Float.MIN_VALUE, +0.0f, 0.0f, -0.0f, Float.NaN, 1, Float.MIN_NORMAL * 1.5f }; |
| |
| /** |
| * result for test_getExponent_F in MathTest/StrictMathTest |
| */ |
| static final int GETEXPONENT_F_RESULTS[] = new int[] { |
| Float.MAX_EXPONENT + 1, Float.MAX_EXPONENT + 1, Float.MAX_EXPONENT, |
| Float.MAX_EXPONENT, 78, 78, 11, 11, 2, 2, 0, 0, -1, -1, -2, -2, |
| -122, -122, Float.MIN_EXPONENT, Float.MIN_EXPONENT, |
| Float.MIN_EXPONENT - 1, Float.MIN_EXPONENT - 1, |
| Float.MIN_EXPONENT - 1, Float.MIN_EXPONENT - 1, |
| Float.MIN_EXPONENT - 1, Float.MIN_EXPONENT - 1, |
| Float.MIN_EXPONENT - 1, Float.MAX_EXPONENT + 1, 0, Float.MIN_EXPONENT }; |
| |
| /** |
| * {@link java.lang.Math#getExponent(float)} |
| * @since 1.6 |
| */ |
| @SuppressWarnings("boxing") |
| public void test_getExponent_F() { |
| for (int i = 0; i < GETEXPONENT_F_CASES.length; i++) { |
| final float number = GETEXPONENT_F_CASES[i]; |
| final int result = GETEXPONENT_F_RESULTS[i]; |
| assertEquals("Wrong result of getExponent(float).", result, Math |
| .getExponent(number)); |
| } |
| try { |
| Math.getExponent((Float) null); |
| fail("Should throw NullPointerException"); |
| } catch (NullPointerException e) { |
| // Expected |
| } |
| } |
| |
| /** |
| * java.lang.Math#hypot(double, double) |
| */ |
| public void test_hypot_DD() { |
| // Test for special cases |
| assertEquals("Should return POSITIVE_INFINITY", |
| Double.POSITIVE_INFINITY, Math.hypot(Double.POSITIVE_INFINITY, |
| 1.0), 0D); |
| assertEquals("Should return POSITIVE_INFINITY", |
| Double.POSITIVE_INFINITY, Math.hypot(Double.NEGATIVE_INFINITY, |
| 123.324), 0D); |
| assertEquals("Should return POSITIVE_INFINITY", |
| Double.POSITIVE_INFINITY, Math.hypot(-758.2587, |
| Double.POSITIVE_INFINITY), 0D); |
| assertEquals("Should return POSITIVE_INFINITY", |
| Double.POSITIVE_INFINITY, Math.hypot(5687.21, |
| Double.NEGATIVE_INFINITY), 0D); |
| assertEquals("Should return POSITIVE_INFINITY", |
| Double.POSITIVE_INFINITY, Math.hypot(Double.POSITIVE_INFINITY, |
| Double.NEGATIVE_INFINITY), 0D); |
| assertEquals("Should return POSITIVE_INFINITY", |
| Double.POSITIVE_INFINITY, Math.hypot(Double.NEGATIVE_INFINITY, |
| Double.POSITIVE_INFINITY), 0D); |
| assertTrue("Should be NaN", Double.isNaN(Math.hypot(Double.NaN, |
| 2342301.89843))); |
| assertTrue("Should be NaN", Double.isNaN(Math.hypot(-345.2680, |
| Double.NaN))); |
| |
| assertEquals("Should return 2396424.905416697", 2396424.905416697, Math |
| .hypot(12322.12, -2396393.2258), 0D); |
| assertEquals("Should return 138.16958070558556", 138.16958070558556, |
| Math.hypot(-138.16951162, 0.13817035864), 0D); |
| assertEquals("Should return 1.7976931348623157E308", |
| 1.7976931348623157E308, Math.hypot(Double.MAX_VALUE, 211370.35), 0D); |
| assertEquals("Should return 5413.7185", 5413.7185, Math.hypot( |
| -5413.7185, Double.MIN_VALUE), 0D); |
| } |
| |
| /** |
| * java.lang.Math#IEEEremainder(double, double) |
| */ |
| public void test_IEEEremainderDD() { |
| // Test for method double java.lang.Math.IEEEremainder(double, double) |
| assertEquals("Incorrect remainder returned", |
| 0.0, Math.IEEEremainder(1.0, 1.0), 0D); |
| assertTrue("Incorrect remainder returned", Math.IEEEremainder(1.32, |
| 89.765) >= 1.4705063220631647E-2 |
| || Math.IEEEremainder(1.32, 89.765) >= 1.4705063220631649E-2); |
| } |
| |
| /** |
| * java.lang.Math#log(double) |
| */ |
| public void test_logD() { |
| // Test for method double java.lang.Math.log(double) |
| for (double d = 10; d >= -10; d -= 0.5) { |
| double answer = Math.log(Math.exp(d)); |
| assertTrue("Answer does not equal expected answer for d = " + d |
| + " answer = " + answer, Math.abs(answer - d) <= Math |
| .abs(d * 0.00000001)); |
| } |
| } |
| |
| /** |
| * java.lang.Math#log10(double) |
| */ |
| @SuppressWarnings("boxing") |
| public void test_log10_D() { |
| // Test for special cases |
| assertTrue(Double.isNaN(Math.log10(Double.NaN))); |
| assertTrue(Double.isNaN(Math.log10(-2541.05745687234187532))); |
| assertTrue(Double.isNaN(Math.log10(-0.1))); |
| assertEquals(Double.POSITIVE_INFINITY, Math.log10(Double.POSITIVE_INFINITY)); |
| assertEquals(Double.NEGATIVE_INFINITY, Math.log10(0.0)); |
| assertEquals(Double.NEGATIVE_INFINITY, Math.log10(+0.0)); |
| assertEquals(Double.NEGATIVE_INFINITY, Math.log10(-0.0)); |
| |
| assertEquals(3.0, Math.log10(1000.0)); |
| assertEquals(14.0, Math.log10(Math.pow(10, 14))); |
| assertEquals(3.7389561269540406, Math.log10(5482.2158)); |
| assertEquals(14.661551142893833, Math.log10(458723662312872.125782332587)); |
| assertEquals(-0.9083828622192334, Math.log10(0.12348583358871)); |
| assertEquals(308.25471555991675, Math.log10(Double.MAX_VALUE)); |
| assertEquals(-323.3062153431158, Math.log10(Double.MIN_VALUE)); |
| } |
| |
| /** |
| * java.lang.Math#log1p(double) |
| */ |
| public void test_log1p_D() { |
| // Test for special cases |
| assertTrue("Should return NaN", Double.isNaN(Math.log1p(Double.NaN))); |
| assertTrue("Should return NaN", Double.isNaN(Math.log1p(-32.0482175))); |
| assertEquals("Should return POSITIVE_INFINITY", |
| Double.POSITIVE_INFINITY, Math.log1p(Double.POSITIVE_INFINITY), 0D); |
| assertEquals(Double.doubleToLongBits(0.0), Double.doubleToLongBits(Math |
| .log1p(0.0))); |
| assertEquals(Double.doubleToLongBits(+0.0), Double |
| .doubleToLongBits(Math.log1p(+0.0))); |
| assertEquals(Double.doubleToLongBits(-0.0), Double |
| .doubleToLongBits(Math.log1p(-0.0))); |
| |
| assertEquals("Should return -0.2941782295312541", -0.2941782295312541, |
| Math.log1p(-0.254856327), 0D); |
| assertEquals("Should return 7.368050685564151", 7.368050685564151, Math |
| .log1p(1583.542), 0D); |
| assertEquals("Should return 0.4633708685409921", 0.4633708685409921, |
| Math.log1p(0.5894227), 0D); |
| assertEquals("Should return 709.782712893384", 709.782712893384, Math |
| .log1p(Double.MAX_VALUE), 0D); |
| assertEquals("Should return Double.MIN_VALUE", Double.MIN_VALUE, Math |
| .log1p(Double.MIN_VALUE), 0D); |
| } |
| |
| /** |
| * java.lang.Math#max(double, double) |
| */ |
| public void test_maxDD() { |
| // Test for method double java.lang.Math.max(double, double) |
| assertEquals("Incorrect double max value", 1908897.6000089, Math.max(-1908897.6000089, |
| 1908897.6000089), 0D); |
| assertEquals("Incorrect double max value", |
| 1908897.6000089, Math.max(2.0, 1908897.6000089), 0D); |
| assertEquals("Incorrect double max value", -2.0, Math.max(-2.0, |
| -1908897.6000089), 0D); |
| |
| // Compare toString representations here since -0.0 = +0.0, and |
| // NaN != NaN and we need to distinguish |
| assertEquals("Max failed for NaN", |
| Double.toString(Double.NaN), Double.toString(Math.max(Double.NaN, 42.0d))); |
| assertEquals("Max failed for NaN", |
| Double.toString(Double.NaN), Double.toString(Math.max(42.0d, Double.NaN))); |
| assertEquals("Max failed for 0.0", |
| Double.toString(+0.0d), Double.toString(Math.max(+0.0d, -0.0d))); |
| assertEquals("Max failed for 0.0", |
| Double.toString(+0.0d), Double.toString(Math.max(-0.0d, +0.0d))); |
| assertEquals("Max failed for -0.0d", |
| Double.toString(-0.0d), Double.toString(Math.max(-0.0d, -0.0d))); |
| assertEquals("Max failed for 0.0", |
| Double.toString(+0.0d), Double.toString(Math.max(+0.0d, +0.0d))); |
| } |
| |
| /** |
| * java.lang.Math#max(float, float) |
| */ |
| public void test_maxFF() { |
| // Test for method float java.lang.Math.max(float, float) |
| assertTrue("Incorrect float max value", Math.max(-1908897.600f, |
| 1908897.600f) == 1908897.600f); |
| assertTrue("Incorrect float max value", |
| Math.max(2.0f, 1908897.600f) == 1908897.600f); |
| assertTrue("Incorrect float max value", |
| Math.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("Max failed for NaN", |
| Float.toString(Float.NaN), Float.toString(Math.max(Float.NaN, 42.0f))); |
| assertEquals("Max failed for NaN", |
| Float.toString(Float.NaN), Float.toString(Math.max(42.0f, Float.NaN))); |
| assertEquals("Max failed for 0.0", |
| Float.toString(+0.0f), Float.toString(Math.max(+0.0f, -0.0f))); |
| assertEquals("Max failed for 0.0", |
| Float.toString(+0.0f), Float.toString(Math.max(-0.0f, +0.0f))); |
| assertEquals("Max failed for -0.0f", |
| Float.toString(-0.0f), Float.toString(Math.max(-0.0f, -0.0f))); |
| assertEquals("Max failed for 0.0", |
| Float.toString(+0.0f), Float.toString(Math.max(+0.0f, +0.0f))); |
| } |
| |
| /** |
| * java.lang.Math#max(int, int) |
| */ |
| public void test_maxII() { |
| // Test for method int java.lang.Math.max(int, int) |
| assertEquals("Incorrect int max value", |
| 19088976, Math.max(-19088976, 19088976)); |
| assertEquals("Incorrect int max value", |
| 19088976, Math.max(20, 19088976)); |
| assertEquals("Incorrect int max value", -20, Math.max(-20, -19088976)); |
| } |
| |
| /** |
| * java.lang.Math#max(long, long) |
| */ |
| public void test_maxJJ() { |
| // Test for method long java.lang.Math.max(long, long) |
| assertEquals("Incorrect long max value", 19088976000089L, Math.max(-19088976000089L, |
| 19088976000089L)); |
| assertEquals("Incorrect long max value", |
| 19088976000089L, Math.max(20, 19088976000089L)); |
| assertEquals("Incorrect long max value", |
| -20, Math.max(-20, -19088976000089L)); |
| } |
| |
| /** |
| * java.lang.Math#min(double, double) |
| */ |
| public void test_minDD() { |
| // Test for method double java.lang.Math.min(double, double) |
| assertEquals("Incorrect double min value", -1908897.6000089, Math.min(-1908897.6000089, |
| 1908897.6000089), 0D); |
| assertEquals("Incorrect double min value", |
| 2.0, Math.min(2.0, 1908897.6000089), 0D); |
| assertEquals("Incorrect double min value", -1908897.6000089, Math.min(-2.0, |
| -1908897.6000089), 0D); |
| assertEquals("Incorrect double min value", 1.0d, Math.min(1.0d, 1.0d)); |
| |
| // Compare toString representations here since -0.0 = +0.0, and |
| // NaN != NaN and we need to distinguish |
| assertEquals("Min failed for NaN", |
| Double.toString(Double.NaN), Double.toString(Math.min(Double.NaN, 42.0d))); |
| assertEquals("Min failed for NaN", |
| Double.toString(Double.NaN), Double.toString(Math.min(42.0d, Double.NaN))); |
| assertEquals("Min failed for -0.0", |
| Double.toString(-0.0d), Double.toString(Math.min(+0.0d, -0.0d))); |
| assertEquals("Min failed for -0.0", |
| Double.toString(-0.0d), Double.toString(Math.min(-0.0d, +0.0d))); |
| assertEquals("Min failed for -0.0d", |
| Double.toString(-0.0d), Double.toString(Math.min(-0.0d, -0.0d))); |
| assertEquals("Min failed for 0.0", |
| Double.toString(+0.0d), Double.toString(Math.min(+0.0d, +0.0d))); |
| } |
| |
| /** |
| * java.lang.Math#min(float, float) |
| */ |
| public void test_minFF() { |
| // Test for method float java.lang.Math.min(float, float) |
| assertTrue("Incorrect float min value", Math.min(-1908897.600f, |
| 1908897.600f) == -1908897.600f); |
| assertTrue("Incorrect float min value", |
| Math.min(2.0f, 1908897.600f) == 2.0f); |
| assertTrue("Incorrect float min value", |
| Math.min(-2.0f, -1908897.600f) == -1908897.600f); |
| assertEquals("Incorrect float min value", 1.0f, Math.min(1.0f, 1.0f)); |
| |
| // Compare toString representations here since -0.0 = +0.0, and |
| // NaN != NaN and we need to distinguish |
| assertEquals("Min failed for NaN", |
| Float.toString(Float.NaN), Float.toString(Math.min(Float.NaN, 42.0f))); |
| assertEquals("Min failed for NaN", |
| Float.toString(Float.NaN), Float.toString(Math.min(42.0f, Float.NaN))); |
| assertEquals("Min failed for -0.0", |
| Float.toString(-0.0f), Float.toString(Math.min(+0.0f, -0.0f))); |
| assertEquals("Min failed for -0.0", |
| Float.toString(-0.0f), Float.toString(Math.min(-0.0f, +0.0f))); |
| assertEquals("Min failed for -0.0f", |
| Float.toString(-0.0f), Float.toString(Math.min(-0.0f, -0.0f))); |
| assertEquals("Min failed for 0.0", |
| Float.toString(+0.0f), Float.toString(Math.min(+0.0f, +0.0f))); |
| } |
| |
| /** |
| * java.lang.Math#min(int, int) |
| */ |
| public void test_minII() { |
| // Test for method int java.lang.Math.min(int, int) |
| assertEquals("Incorrect int min value", |
| -19088976, Math.min(-19088976, 19088976)); |
| assertEquals("Incorrect int min value", 20, Math.min(20, 19088976)); |
| assertEquals("Incorrect int min value", |
| -19088976, Math.min(-20, -19088976)); |
| |
| } |
| |
| /** |
| * java.lang.Math#min(long, long) |
| */ |
| public void test_minJJ() { |
| // Test for method long java.lang.Math.min(long, long) |
| assertEquals("Incorrect long min value", -19088976000089L, Math.min(-19088976000089L, |
| 19088976000089L)); |
| assertEquals("Incorrect long min value", |
| 20, Math.min(20, 19088976000089L)); |
| assertEquals("Incorrect long min value", |
| -19088976000089L, Math.min(-20, -19088976000089L)); |
| } |
| |
| /** |
| * start number cases for test_nextAfter_DD in MathTest/StrictMathTest |
| * 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 |
| */ |
| static final double NEXTAFTER_DD_START_CASES[][] = new double[][] { |
| { 3.4, 3.4000000000000004, 3.3999999999999995 }, |
| { -3.4, -3.3999999999999995, -3.4000000000000004 }, |
| { 3.4233E109, 3.4233000000000005E109, 3.4232999999999996E109 }, |
| { -3.4233E109, -3.4232999999999996E109, -3.4233000000000005E109 }, |
| { +0.0, Double.MIN_VALUE, -Double.MIN_VALUE }, |
| { 0.0, Double.MIN_VALUE, -Double.MIN_VALUE }, |
| { -0.0, Double.MIN_VALUE, -Double.MIN_VALUE }, |
| { Double.MIN_VALUE, 1.0E-323, +0.0 }, |
| { -Double.MIN_VALUE, -0.0, -1.0E-323 }, |
| { Double.MIN_NORMAL, 2.225073858507202E-308, 2.225073858507201E-308 }, |
| { -Double.MIN_NORMAL, -2.225073858507201E-308, |
| -2.225073858507202E-308 }, |
| { Double.MAX_VALUE, Double.POSITIVE_INFINITY, |
| 1.7976931348623155E308 }, |
| { -Double.MAX_VALUE, -1.7976931348623155E308, |
| Double.NEGATIVE_INFINITY }, |
| { Double.POSITIVE_INFINITY, Double.POSITIVE_INFINITY, |
| Double.MAX_VALUE }, |
| { Double.NEGATIVE_INFINITY, -Double.MAX_VALUE, |
| Double.NEGATIVE_INFINITY } }; |
| |
| /** |
| * direction number cases for test_nextAfter_DD/test_nextAfter_FD in |
| * MathTest/StrictMathTest |
| */ |
| static final double NEXTAFTER_DD_FD_DIRECTION_CASES[] = new double[] { |
| Double.POSITIVE_INFINITY, Double.MAX_VALUE, 8.8, 3.4, 1.4, |
| Double.MIN_NORMAL, Double.MIN_NORMAL / 2, Double.MIN_VALUE, +0.0, |
| 0.0, -0.0, -Double.MIN_VALUE, -Double.MIN_NORMAL / 2, |
| -Double.MIN_NORMAL, -1.4, -3.4, -8.8, -Double.MAX_VALUE, |
| Double.NEGATIVE_INFINITY }; |
| |
| /** |
| * {@link java.lang.Math#nextAfter(double, double)} |
| * @since 1.6 |
| */ |
| @SuppressWarnings("boxing") |
| public void test_nextAfter_DD() { |
| // test for most cases without exception |
| for (int i = 0; i < NEXTAFTER_DD_START_CASES.length; i++) { |
| final double start = NEXTAFTER_DD_START_CASES[i][0]; |
| final long nextUpBits = Double |
| .doubleToLongBits(NEXTAFTER_DD_START_CASES[i][1]); |
| final long nextDownBits = Double |
| .doubleToLongBits(NEXTAFTER_DD_START_CASES[i][2]); |
| |
| for (int j = 0; j < NEXTAFTER_DD_FD_DIRECTION_CASES.length; j++) { |
| final double direction = NEXTAFTER_DD_FD_DIRECTION_CASES[j]; |
| final long resultBits = Double.doubleToLongBits(Math.nextAfter( |
| start, direction)); |
| final long directionBits = Double.doubleToLongBits(direction); |
| if (direction > start) { |
| assertEquals("Result should be next up-number.", |
| nextUpBits, resultBits); |
| } else if (direction < start) { |
| assertEquals("Result should be next down-number.", |
| nextDownBits, resultBits); |
| } else { |
| assertEquals("Result should be direction.", directionBits, |
| resultBits); |
| } |
| } |
| } |
| |
| // test for cases with NaN |
| for (int i = 0; i < NEXTAFTER_DD_START_CASES.length; i++) { |
| assertTrue("The result should be NaN.", Double.isNaN(Math |
| .nextAfter(NEXTAFTER_DD_START_CASES[i][0], Double.NaN))); |
| } |
| for (int i = 0; i < NEXTAFTER_DD_FD_DIRECTION_CASES.length; i++) { |
| assertTrue("The result should be NaN.", Double.isNaN(Math |
| .nextAfter(Double.NaN, NEXTAFTER_DD_FD_DIRECTION_CASES[i]))); |
| } |
| assertTrue("The result should be NaN.", Double.isNaN(Math.nextAfter( |
| Double.NaN, Double.NaN))); |
| |
| // test for exception |
| try { |
| Math.nextAfter((Double) null, 2.3); |
| fail("Should throw NullPointerException"); |
| } catch (NullPointerException e) { |
| // Expected |
| } |
| try { |
| Math.nextAfter(2.3, (Double) null); |
| fail("Should throw NullPointerException"); |
| } catch (NullPointerException e) { |
| // Expected |
| } |
| try { |
| Math.nextAfter((Double) null, (Double) null); |
| fail("Should throw NullPointerException"); |
| } catch (NullPointerException e) { |
| // Expected |
| } |
| } |
| |
| /** |
| * start number cases for test_nextAfter_FD in MathTest/StrictMathTest |
| * 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 |
| */ |
| static final float NEXTAFTER_FD_START_CASES[][] = new float[][] { |
| { 3.4f, 3.4000003f, 3.3999999f }, |
| { -3.4f, -3.3999999f, -3.4000003f }, |
| { 3.4233E19f, 3.4233002E19f, 3.4232998E19f }, |
| { -3.4233E19f, -3.4232998E19f, -3.4233002E19f }, |
| { +0.0f, Float.MIN_VALUE, -Float.MIN_VALUE }, |
| { 0.0f, Float.MIN_VALUE, -Float.MIN_VALUE }, |
| { -0.0f, Float.MIN_VALUE, -Float.MIN_VALUE }, |
| { Float.MIN_VALUE, 2.8E-45f, +0.0f }, |
| { -Float.MIN_VALUE, -0.0f, -2.8E-45f }, |
| { Float.MIN_NORMAL, 1.1754945E-38f, 1.1754942E-38f }, |
| { -Float.MIN_NORMAL, -1.1754942E-38f, -1.1754945E-38f }, |
| { Float.MAX_VALUE, Float.POSITIVE_INFINITY, 3.4028233E38f }, |
| { -Float.MAX_VALUE, -3.4028233E38f, Float.NEGATIVE_INFINITY }, |
| { Float.POSITIVE_INFINITY, Float.POSITIVE_INFINITY, Float.MAX_VALUE }, |
| { Float.NEGATIVE_INFINITY, -Float.MAX_VALUE, |
| Float.NEGATIVE_INFINITY } }; |
| |
| /** |
| * {@link java.lang.Math#nextAfter(float, double)} |
| * @since 1.6 |
| */ |
| @SuppressWarnings("boxing") |
| public void test_nextAfter_FD() { |
| // test for most cases without exception |
| for (int i = 0; i < NEXTAFTER_FD_START_CASES.length; i++) { |
| final float start = NEXTAFTER_FD_START_CASES[i][0]; |
| final int nextUpBits = Float |
| .floatToIntBits(NEXTAFTER_FD_START_CASES[i][1]); |
| final int nextDownBits = Float |
| .floatToIntBits(NEXTAFTER_FD_START_CASES[i][2]); |
| |
| for (int j = 0; j < NEXTAFTER_DD_FD_DIRECTION_CASES.length; j++) { |
| final double direction = NEXTAFTER_DD_FD_DIRECTION_CASES[j]; |
| final int resultBits = Float.floatToIntBits(Math.nextAfter( |
| start, direction)); |
| if (direction > start) { |
| assertEquals("Result should be next up-number.", |
| nextUpBits, resultBits); |
| } else if (direction < start) { |
| assertEquals("Result should be next down-number.", |
| nextDownBits, resultBits); |
| } else { |
| final int equivalentBits = Float.floatToIntBits(new Float( |
| direction)); |
| assertEquals( |
| "Result should be a number equivalent to direction.", |
| equivalentBits, resultBits); |
| } |
| } |
| } |
| |
| // test for cases with NaN |
| for (int i = 0; i < NEXTAFTER_FD_START_CASES.length; i++) { |
| assertTrue("The result should be NaN.", Float.isNaN(Math.nextAfter( |
| NEXTAFTER_FD_START_CASES[i][0], Float.NaN))); |
| } |
| for (int i = 0; i < NEXTAFTER_DD_FD_DIRECTION_CASES.length; i++) { |
| assertTrue("The result should be NaN.", Float.isNaN(Math.nextAfter( |
| Float.NaN, NEXTAFTER_DD_FD_DIRECTION_CASES[i]))); |
| } |
| assertTrue("The result should be NaN.", Float.isNaN(Math.nextAfter( |
| Float.NaN, Float.NaN))); |
| |
| // test for exception |
| try { |
| Math.nextAfter((Float) null, 2.3); |
| fail("Should throw NullPointerException"); |
| } catch (NullPointerException e) { |
| // Expected |
| } |
| try { |
| Math.nextAfter(2.3, (Float) null); |
| fail("Should throw NullPointerException"); |
| } catch (NullPointerException e) { |
| // Expected |
| } |
| try { |
| Math.nextAfter((Float) null, (Float) null); |
| fail("Should throw NullPointerException"); |
| } catch (NullPointerException e) { |
| // Expected |
| } |
| } |
| |
| /** |
| * {@link java.lang.Math#nextUp(double)} |
| * @since 1.6 |
| */ |
| @SuppressWarnings("boxing") |
| public void test_nextUp_D() { |
| // This method is semantically equivalent to nextAfter(d, |
| // Double.POSITIVE_INFINITY), |
| // so we use the data of test_nextAfter_DD |
| for (int i = 0; i < NEXTAFTER_DD_START_CASES.length; i++) { |
| final double start = NEXTAFTER_DD_START_CASES[i][0]; |
| final long nextUpBits = Double |
| .doubleToLongBits(NEXTAFTER_DD_START_CASES[i][1]); |
| final long resultBits = Double.doubleToLongBits(Math.nextUp(start)); |
| assertEquals("Result should be next up-number.", nextUpBits, |
| resultBits); |
| } |
| |
| // test for cases with NaN |
| assertTrue("The result should be NaN.", Double.isNaN(Math |
| .nextUp(Double.NaN))); |
| |
| // test for exception |
| try { |
| Math.nextUp((Double) null); |
| fail("Should throw NullPointerException"); |
| } catch (NullPointerException e) { |
| // Expected |
| } |
| } |
| |
| /** |
| * {@link java.lang.Math#nextUp(float)} |
| * @since 1.6 |
| */ |
| @SuppressWarnings("boxing") |
| public void test_nextUp_F() { |
| // This method is semantically equivalent to nextAfter(f, |
| // Float.POSITIVE_INFINITY), |
| // so we use the data of test_nextAfter_FD |
| for (int i = 0; i < NEXTAFTER_FD_START_CASES.length; i++) { |
| final float start = NEXTAFTER_FD_START_CASES[i][0]; |
| final int nextUpBits = Float |
| .floatToIntBits(NEXTAFTER_FD_START_CASES[i][1]); |
| final int resultBits = Float.floatToIntBits(Math.nextUp(start)); |
| assertEquals("Result should be next up-number.", nextUpBits, |
| resultBits); |
| } |
| |
| // test for cases with NaN |
| assertTrue("The result should be NaN.", Float.isNaN(Math |
| .nextUp(Float.NaN))); |
| |
| // test for exception |
| try { |
| Math.nextUp((Float) null); |
| fail("Should throw NullPointerException"); |
| } catch (NullPointerException e) { |
| // Expected |
| } |
| } |
| |
| /** |
| * java.lang.Math#pow(double, double) |
| */ |
| public void test_powDD() { |
| // Test for method double java.lang.Math.pow(double, double) |
| double NZERO = longTodouble(doubleTolong(0.0) ^ 0x8000000000000000L); |
| double p1 = 1.0; |
| double p2 = 2.0; |
| double p3 = 3.0; |
| double p4 = 4.0; |
| double p5 = 5.0; |
| double p6 = 6.0; |
| double p7 = 7.0; |
| double p8 = 8.0; |
| double p9 = 9.0; |
| double p10 = 10.0; |
| double p11 = 11.0; |
| double p12 = 12.0; |
| double p13 = 13.0; |
| double p14 = 14.0; |
| double p15 = 15.0; |
| double p16 = 16.0; |
| double[] values = { p1, p2, p3, p4, p5, p6, p7, p8, p9, p10, p11, p12, |
| p13, p14, p15, p16 }; |
| |
| for (int x = 0; x < values.length; x++) { |
| double dval = values[x]; |
| double nagateDval = negateDouble(dval); |
| if (nagateDval == Double.NaN) { |
| continue; |
| } |
| |
| // If the second argument is positive or negative zero, then the |
| // result is 1.0. |
| assertEquals("Result should be Math.pow(" + dval |
| + ",-0.0)=+1.0", 1.0, Math.pow(dval, NZERO)); |
| assertEquals("Result should be Math.pow(" + nagateDval |
| + ",-0.0)=+1.0", 1.0, Math.pow(nagateDval, NZERO)); |
| assertEquals("Result should be Math.pow(" + dval |
| + ",+0.0)=+1.0", 1.0, Math.pow(dval, +0.0)); |
| assertEquals("Result should be Math.pow(" + nagateDval |
| + ",+0.0)=+1.0", 1.0, Math.pow(nagateDval, +0.0)); |
| |
| // If the second argument is 1.0, then the result is the same as the |
| // first argument. |
| assertEquals("Result should be Math.pow(" + dval + "," + 1.0 + ")=" |
| + dval, dval, Math.pow(dval, 1.0)); |
| assertEquals("Result should be Math.pow(" + nagateDval + "," + 1.0 |
| + ")=" + nagateDval, nagateDval, Math.pow(nagateDval, 1.0)); |
| |
| // If the second argument is NaN, then the result is NaN. |
| assertEquals("Result should be Math.pow(" + dval + "," + Double.NaN |
| + ")=" + Double.NaN, Double.NaN, Math.pow(dval, Double.NaN)); |
| assertEquals("Result should be Math.pow(" + nagateDval + "," |
| + Double.NaN + ")=" + Double.NaN, Double.NaN, Math.pow(nagateDval, |
| Double.NaN)); |
| |
| if (dval > 1) { |
| // If the first argument is NaN and the second argument is |
| // nonzero, |
| // then the result is NaN. |
| assertEquals("Result should be Math.pow(" + Double.NaN + "," |
| + dval + ")=" + Double.NaN, Double.NaN, Math.pow(Double.NaN, dval)); |
| assertEquals("Result should be Math.pow(" + Double.NaN + "," |
| + nagateDval + ")=" + Double.NaN, Double.NaN, Math.pow(Double.NaN, |
| nagateDval)); |
| |
| /* |
| * If the first argument is positive zero and the second |
| * argument is greater than zero, or the first argument is |
| * positive infinity and the second argument is less than zero, |
| * then the result is positive zero. |
| */ |
| assertEquals("Result should be Math.pow(" + 0.0 + "," + dval |
| + ")=" + 0.0, +0.0, Math.pow(0.0, dval)); |
| assertEquals("Result should be Math.pow(" |
| + Double.POSITIVE_INFINITY + "," + nagateDval + ")=" |
| + 0.0, +0.0, Math.pow(Double.POSITIVE_INFINITY, nagateDval)); |
| |
| /* |
| * If the first argument is positive zero and the second |
| * argument is less than zero, or the first argument is positive |
| * infinity and the second argument is greater than zero, then |
| * the result is positive infinity. |
| */ |
| assertEquals("Result should be Math.pow(" + 0.0 + "," |
| + nagateDval + ")=" + Double.POSITIVE_INFINITY, Double.POSITIVE_INFINITY, |
| Math.pow(0.0, nagateDval)); |
| assertEquals("Result should be Math.pow(" |
| + Double.POSITIVE_INFINITY + "," + dval + ")=" |
| + Double.POSITIVE_INFINITY, Double.POSITIVE_INFINITY, Math.pow( |
| Double.POSITIVE_INFINITY, dval)); |
| |
| // Not a finite odd integer |
| if (dval % 2 == 0) { |
| /* |
| * If the first argument is negative zero and the second |
| * argument is greater than zero but not a finite odd |
| * integer, or the first argument is negative infinity and |
| * the second argument is less than zero but not a finite |
| * odd integer, then the result is positive zero. |
| */ |
| assertEquals("Result should be Math.pow(" + NZERO + "," |
| + dval + ")=" + 0.0, +0.0, Math.pow(NZERO, dval)); |
| assertEquals("Result should be Math.pow(" |
| + Double.NEGATIVE_INFINITY + "," + nagateDval |
| + ")=" + 0.0, +0.0, Math.pow(Double.NEGATIVE_INFINITY, |
| nagateDval)); |
| |
| /* |
| * If the first argument is negative zero and the second |
| * argument is less than zero but not a finite odd integer, |
| * or the first argument is negative infinity and the second |
| * argument is greater than zero but not a finite odd |
| * integer, then the result is positive infinity. |
| */ |
| assertEquals("Result should be Math.pow(" + NZERO + "," |
| + nagateDval + ")=" + Double.POSITIVE_INFINITY, Double.POSITIVE_INFINITY, |
| Math.pow(NZERO, nagateDval)); |
| assertEquals("Result should be Math.pow(" |
| + Double.NEGATIVE_INFINITY + "," + dval + ")=" |
| + Double.POSITIVE_INFINITY, Double.POSITIVE_INFINITY, Math.pow( |
| Double.NEGATIVE_INFINITY, dval)); |
| } |
| |
| // finite odd integer |
| if (dval % 2 != 0) { |
| /* |
| * If the first argument is negative zero and the second |
| * argument is a positive finite odd integer, or the first |
| * argument is negative infinity and the second argument is |
| * a negative finite odd integer, then the result is |
| * negative zero. |
| */ |
| assertEquals("Result should be Math.pow(" + NZERO + "," |
| + dval + ")=" + NZERO, NZERO, Math.pow(NZERO, dval)); |
| assertEquals("Result should be Math.pow(" |
| + Double.NEGATIVE_INFINITY + "," + nagateDval |
| + ")=" + NZERO, NZERO, Math.pow(Double.NEGATIVE_INFINITY, |
| nagateDval)); |
| /* |
| * If the first argument is negative zero and the second |
| * argument is a negative finite odd integer, or the first |
| * argument is negative infinity and the second argument is |
| * a positive finite odd integer then the result is negative |
| * infinity. |
| */ |
| assertEquals("Result should be Math.pow(" + NZERO + "," |
| + nagateDval + ")=" + Double.NEGATIVE_INFINITY, Double.NEGATIVE_INFINITY, |
| Math.pow(NZERO, nagateDval)); |
| assertEquals("Result should be Math.pow(" |
| + Double.NEGATIVE_INFINITY + "," + dval + ")=" |
| + Double.NEGATIVE_INFINITY, Double.NEGATIVE_INFINITY, Math.pow( |
| Double.NEGATIVE_INFINITY, dval)); |
| } |
| |
| /** |
| * 1. If the first argument is finite and less than zero if the |
| * second argument is a finite even integer, the result is equal |
| * to the result of raising the absolute value of the first |
| * argument to the power of the second argument |
| * |
| * 2. if the second argument is a finite odd integer, the result is equal to the |
| * negative of the result of raising the absolute value of the |
| * first argument to the power of the second argument |
| * |
| * 3. if the second argument is finite and not an integer, then the result |
| * is NaN. |
| */ |
| for (int j = 1; j < values.length; j++) { |
| double jval = values[j]; |
| if (jval % 2.0 == 0.0) { |
| assertEquals("" + nagateDval + " " + jval, Math.pow( |
| dval, jval), Math.pow(nagateDval, jval)); |
| } else { |
| assertEquals("" + nagateDval + " " + jval, -1.0 |
| * Math.pow(dval, jval), Math.pow(nagateDval, |
| jval)); |
| } |
| assertEquals(Double.NaN, Math |
| .pow(nagateDval, jval / 0.5467)); |
| assertEquals(Double.NaN, Math.pow(nagateDval, -1.0 * jval |
| / 0.5467)); |
| } |
| } |
| |
| // If the absolute value of the first argument equals 1 and the |
| // second argument is infinite, then the result is NaN. |
| if (dval == 1) { |
| assertEquals("Result should be Math.pow(" + dval + "," |
| + Double.POSITIVE_INFINITY + ")=" + Double.NaN, Double.NaN, Math |
| .pow(dval, Double.POSITIVE_INFINITY)); |
| assertEquals("Result should be Math.pow(" + dval + "," |
| + Double.NEGATIVE_INFINITY + ")=" + Double.NaN, Double.NaN, Math |
| .pow(dval, Double.NEGATIVE_INFINITY)); |
| |
| assertEquals("Result should be Math.pow(" + nagateDval + "," |
| + Double.POSITIVE_INFINITY + ")=" + Double.NaN, Double.NaN, Math |
| .pow(nagateDval, Double.POSITIVE_INFINITY)); |
| assertEquals("Result should be Math.pow(" + nagateDval + "," |
| + Double.NEGATIVE_INFINITY + ")=" + Double.NaN, Double.NaN, Math |
| .pow(nagateDval, Double.NEGATIVE_INFINITY)); |
| } |
| |
| if (dval > 1) { |
| /* |
| * If the absolute value of the first argument is greater than 1 |
| * and the second argument is positive infinity, or the absolute |
| * value of the first argument is less than 1 and the second |
| * argument is negative infinity, then the result is positive |
| * infinity. |
| */ |
| assertEquals("Result should be Math.pow(" + dval + "," |
| + Double.POSITIVE_INFINITY + ")=" |
| + Double.POSITIVE_INFINITY, Double.POSITIVE_INFINITY, Math.pow(dval, |
| Double.POSITIVE_INFINITY)); |
| |
| assertEquals("Result should be Math.pow(" + nagateDval + "," |
| + Double.NEGATIVE_INFINITY + ")=" |
| + Double.POSITIVE_INFINITY, Double.POSITIVE_INFINITY, Math.pow(-0.13456, |
| Double.NEGATIVE_INFINITY)); |
| |
| /* |
| * If the absolute value of the first argument is greater than 1 |
| * and the second argument is negative infinity, or the absolute |
| * value of the first argument is less than 1 and the second |
| * argument is positive infinity, then the result is positive |
| * zero. |
| */ |
| assertEquals("Result should be Math.pow(" + dval + "," |
| + Double.NEGATIVE_INFINITY + ")= +0.0", +0.0, Math.pow(dval, |
| Double.NEGATIVE_INFINITY)); |
| assertEquals("Result should be Math.pow(" + nagateDval + "," |
| + Double.POSITIVE_INFINITY + ")= +0.0", +0.0, Math.pow( |
| -0.13456, Double.POSITIVE_INFINITY)); |
| } |
| |
| assertEquals("Result should be Math.pow(" + 0.0 + "," + dval + ")=" |
| + 0.0, 0.0, Math.pow(0.0, dval)); |
| assertEquals("Result should be Math.pow(" + Double.NaN + "," + dval |
| + ")=" + Double.NaN, Double.NaN, Math.pow(Double.NaN, dval)); |
| } |
| assertTrue("pow returned incorrect value", |
| (long) Math.pow(2, 8) == 256l); |
| assertTrue("pow returned incorrect value", |
| Math.pow(2, -8) == 0.00390625d); |
| assertEquals("Incorrect root returned1", |
| 2, Math.sqrt(Math.pow(Math.sqrt(2), 4)), 0); |
| |
| assertEquals(Double.NEGATIVE_INFINITY, Math.pow(-10.0, 3.093403029238847E15)); |
| assertEquals(Double.POSITIVE_INFINITY, Math.pow(10.0, 3.093403029238847E15)); |
| } |
| |
| private double longTodouble(long longvalue) { |
| return Double.longBitsToDouble(longvalue); |
| } |
| |
| private long doubleTolong(double doublevalue) { |
| return Double.doubleToLongBits(doublevalue); |
| } |
| |
| private double negateDouble(double doublevalue) { |
| return doublevalue * -1.0; |
| } |
| |
| /** |
| * java.lang.Math#rint(double) |
| */ |
| public void test_rintD() { |
| // Test for method double java.lang.Math.rint(double) |
| assertEquals("Failed to round properly - up to odd", |
| 3.0, Math.rint(2.9), 0D); |
| assertTrue("Failed to round properly - NaN", Double.isNaN(Math |
| .rint(Double.NaN))); |
| assertEquals("Failed to round properly down to even", |
| 2.0, Math.rint(2.1), 0D); |
| assertTrue("Failed to round properly " + 2.5 + " to even", Math |
| .rint(2.5) == 2.0); |
| assertTrue("Failed to round properly " + (+0.0d), |
| Math.rint(+0.0d) == +0.0d); |
| assertTrue("Failed to round properly " + (-0.0d), |
| Math.rint(-0.0d) == -0.0d); |
| } |
| |
| /** |
| * java.lang.Math#round(double) |
| */ |
| public void test_roundD() { |
| // Test for method long java.lang.Math.round(double) |
| assertEquals("Incorrect rounding of a float", -91, Math.round(-90.89d)); |
| } |
| |
| /** |
| * java.lang.Math#round(float) |
| */ |
| public void test_roundF() { |
| // Test for method int java.lang.Math.round(float) |
| assertEquals("Incorrect rounding of a float", -91, Math.round(-90.89f)); |
| } |
| |
| /** |
| * {@link java.lang.Math#scalb(double, int)} |
| * @since 1.6 |
| */ |
| @SuppressWarnings("boxing") |
| public void test_scalb_DI() { |
| // result is normal |
| assertEquals(4.1422946304E7, Math.scalb(1.2345, 25)); |
| assertEquals(3.679096698760986E-8, Math.scalb(1.2345, -25)); |
| assertEquals(1.2345, Math.scalb(1.2345, 0)); |
| assertEquals(7868514.304, Math.scalb(0.2345, 25)); |
| |
| double normal = Math.scalb(0.2345, -25); |
| assertEquals(6.98864459991455E-9, normal); |
| // precision kept |
| assertEquals(0.2345, Math.scalb(normal, 25)); |
| |
| assertEquals(0.2345, Math.scalb(0.2345, 0)); |
| assertEquals(-4.1422946304E7, Math.scalb(-1.2345, 25)); |
| assertEquals(-6.98864459991455E-9, Math.scalb(-0.2345, -25)); |
| assertEquals(2.0, Math.scalb(Double.MIN_NORMAL / 2, 1024)); |
| assertEquals(64.0, Math.scalb(Double.MIN_VALUE, 1080)); |
| assertEquals(234, Math.getExponent(Math.scalb(1.0, 234))); |
| assertEquals(3.9999999999999996, Math.scalb(Double.MAX_VALUE, |
| Double.MIN_EXPONENT)); |
| |
| // result is near infinity |
| double halfMax = Math.scalb(1.0, Double.MAX_EXPONENT); |
| assertEquals(8.98846567431158E307, halfMax); |
| assertEquals(Double.MAX_VALUE, halfMax - Math.ulp(halfMax) + halfMax); |
| assertEquals(Double.POSITIVE_INFINITY, halfMax + halfMax); |
| assertEquals(1.7976931348623155E308, Math.scalb(1.0 - Math.ulp(1.0), |
| Double.MAX_EXPONENT + 1)); |
| assertEquals(Double.POSITIVE_INFINITY, Math.scalb(1.0 - Math.ulp(1.0), |
| Double.MAX_EXPONENT + 2)); |
| |
| halfMax = Math.scalb(-1.0, Double.MAX_EXPONENT); |
| assertEquals(-8.98846567431158E307, halfMax); |
| assertEquals(-Double.MAX_VALUE, halfMax + Math.ulp(halfMax) + halfMax); |
| assertEquals(Double.NEGATIVE_INFINITY, halfMax + halfMax); |
| |
| assertEquals(Double.POSITIVE_INFINITY, Math.scalb(0.345, 1234)); |
| assertEquals(Double.POSITIVE_INFINITY, Math.scalb(44.345E102, 934)); |
| assertEquals(Double.NEGATIVE_INFINITY, Math.scalb(-44.345E102, 934)); |
| |
| assertEquals(Double.POSITIVE_INFINITY, Math.scalb( |
| Double.MIN_NORMAL / 2, 4000)); |
| assertEquals(Double.POSITIVE_INFINITY, Math.scalb(Double.MIN_VALUE, |
| 8000)); |
| assertEquals(Double.POSITIVE_INFINITY, Math.scalb(Double.MAX_VALUE, 1)); |
| assertEquals(Double.POSITIVE_INFINITY, Math.scalb( |
| Double.POSITIVE_INFINITY, 0)); |
| assertEquals(Double.POSITIVE_INFINITY, Math.scalb( |
| Double.POSITIVE_INFINITY, -1)); |
| assertEquals(Double.NEGATIVE_INFINITY, Math.scalb( |
| Double.NEGATIVE_INFINITY, -1)); |
| assertEquals(Double.NEGATIVE_INFINITY, Math.scalb( |
| Double.NEGATIVE_INFINITY, Double.MIN_EXPONENT)); |
| |
| // result is subnormal/zero |
| long posZeroBits = Double.doubleToLongBits(+0.0); |
| long negZeroBits = Double.doubleToLongBits(-0.0); |
| assertEquals(posZeroBits, Double.doubleToLongBits(Math.scalb(+0.0, |
| Integer.MAX_VALUE))); |
| assertEquals(posZeroBits, Double.doubleToLongBits(Math |
| .scalb(+0.0, -123))); |
| assertEquals(posZeroBits, Double.doubleToLongBits(Math.scalb(+0.0, 0))); |
| assertEquals(negZeroBits, Double |
| .doubleToLongBits(Math.scalb(-0.0, 123))); |
| assertEquals(negZeroBits, Double.doubleToLongBits(Math.scalb(-0.0, |
| Integer.MIN_VALUE))); |
| |
| assertEquals(Double.MIN_VALUE, Math.scalb(1.0, -1074)); |
| assertEquals(posZeroBits, Double.doubleToLongBits(Math |
| .scalb(1.0, -1075))); |
| assertEquals(negZeroBits, Double.doubleToLongBits(Math.scalb(-1.0, |
| -1075))); |
| |
| // precision lost |
| assertEquals(Math.scalb(21.405, -1078), Math.scalb(21.405, -1079)); |
| assertEquals(Double.MIN_VALUE, Math.scalb(21.405, -1079)); |
| assertEquals(-Double.MIN_VALUE, Math.scalb(-21.405, -1079)); |
| assertEquals(posZeroBits, Double.doubleToLongBits(Math.scalb(21.405, |
| -1080))); |
| assertEquals(negZeroBits, Double.doubleToLongBits(Math.scalb(-21.405, |
| -1080))); |
| assertEquals(posZeroBits, Double.doubleToLongBits(Math.scalb( |
| Double.MIN_VALUE, -1))); |
| assertEquals(negZeroBits, Double.doubleToLongBits(Math.scalb( |
| -Double.MIN_VALUE, -1))); |
| assertEquals(Double.MIN_VALUE, Math.scalb(Double.MIN_NORMAL, -52)); |
| assertEquals(posZeroBits, Double.doubleToLongBits(Math.scalb( |
| Double.MIN_NORMAL, -53))); |
| assertEquals(negZeroBits, Double.doubleToLongBits(Math.scalb( |
| -Double.MIN_NORMAL, -53))); |
| assertEquals(Double.MIN_VALUE, Math.scalb(Double.MAX_VALUE, -2098)); |
| assertEquals(posZeroBits, Double.doubleToLongBits(Math.scalb( |
| Double.MAX_VALUE, -2099))); |
| assertEquals(negZeroBits, Double.doubleToLongBits(Math.scalb( |
| -Double.MAX_VALUE, -2099))); |
| assertEquals(Double.MIN_VALUE, Math.scalb(Double.MIN_NORMAL / 3, -51)); |
| assertEquals(posZeroBits, Double.doubleToLongBits(Math.scalb( |
| Double.MIN_NORMAL / 3, -52))); |
| assertEquals(negZeroBits, Double.doubleToLongBits(Math.scalb( |
| -Double.MIN_NORMAL / 3, -52))); |
| double subnormal = Math.scalb(Double.MIN_NORMAL / 3, -25); |
| assertEquals(2.2104123E-316, subnormal); |
| // precision lost |
| assertFalse(Double.MIN_NORMAL / 3 == Math.scalb(subnormal, 25)); |
| |
| // NaN |
| assertTrue(Double.isNaN(Math.scalb(Double.NaN, 1))); |
| assertTrue(Double.isNaN(Math.scalb(Double.NaN, 0))); |
| assertTrue(Double.isNaN(Math.scalb(Double.NaN, -120))); |
| |
| assertEquals(1283457024, Double.doubleToLongBits(Math.scalb( |
| Double.MIN_VALUE * 153, 23))); |
| assertEquals(-9223372035571318784L, Double.doubleToLongBits(Math.scalb( |
| -Double.MIN_VALUE * 153, 23))); |
| assertEquals(36908406321184768L, Double.doubleToLongBits(Math.scalb( |
| Double.MIN_VALUE * 153, 52))); |
| assertEquals(-9186463630533591040L, Double.doubleToLongBits(Math.scalb( |
| -Double.MIN_VALUE * 153, 52))); |
| |
| // test for exception |
| try { |
| Math.scalb((Double) null, (Integer) null); |
| fail("Should throw NullPointerException"); |
| } catch (NullPointerException e) { |
| // Expected |
| } |
| try { |
| Math.scalb(1.0, (Integer) null); |
| fail("Should throw NullPointerException"); |
| } catch (NullPointerException e) { |
| // Expected |
| } |
| try { |
| Math.scalb((Double) null, 1); |
| fail("Should throw NullPointerException"); |
| } catch (NullPointerException e) { |
| // Expected |
| } |
| |
| long b1em1022 = 0x0010000000000000L; // bit representation of |
| // Double.MIN_NORMAL |
| long b1em1023 = 0x0008000000000000L; // bit representation of half of |
| // Double.MIN_NORMAL |
| // assert exact identity |
| assertEquals(b1em1023, Double.doubleToLongBits(Math.scalb(Double |
| .longBitsToDouble(b1em1022), -1))); |
| } |
| |
| /** |
| * {@link java.lang.Math#scalb(float, int)} |
| * @since 1.6 |
| */ |
| @SuppressWarnings("boxing") |
| public void test_scalb_FI() { |
| // result is normal |
| assertEquals(4.1422946304E7f, Math.scalb(1.2345f, 25)); |
| assertEquals(3.679096698760986E-8f, Math.scalb(1.2345f, -25)); |
| assertEquals(1.2345f, Math.scalb(1.2345f, 0)); |
| assertEquals(7868514.304f, Math.scalb(0.2345f, 25)); |
| |
| float normal = Math.scalb(0.2345f, -25); |
| assertEquals(6.98864459991455E-9f, normal); |
| // precision kept |
| assertEquals(0.2345f, Math.scalb(normal, 25)); |
| |
| assertEquals(0.2345f, Math.scalb(0.2345f, 0)); |
| assertEquals(-4.1422946304E7f, Math.scalb(-1.2345f, 25)); |
| assertEquals(-6.98864459991455E-9f, Math.scalb(-0.2345f, -25)); |
| assertEquals(2.0f, Math.scalb(Float.MIN_NORMAL / 2, 128)); |
| assertEquals(64.0f, Math.scalb(Float.MIN_VALUE, 155)); |
| assertEquals(34, Math.getExponent(Math.scalb(1.0f, 34))); |
| assertEquals(3.9999998f, Math |
| .scalb(Float.MAX_VALUE, Float.MIN_EXPONENT)); |
| |
| // result is near infinity |
| float halfMax = Math.scalb(1.0f, Float.MAX_EXPONENT); |
| assertEquals(1.7014118E38f, halfMax); |
| assertEquals(Float.MAX_VALUE, halfMax - Math.ulp(halfMax) + halfMax); |
| assertEquals(Float.POSITIVE_INFINITY, halfMax + halfMax); |
| assertEquals(3.4028233E38f, Math.scalb(1.0f - Math.ulp(1.0f), |
| Float.MAX_EXPONENT + 1)); |
| assertEquals(Float.POSITIVE_INFINITY, Math.scalb(1.0f - Math.ulp(1.0f), |
| Float.MAX_EXPONENT + 2)); |
| |
| halfMax = Math.scalb(-1.0f, Float.MAX_EXPONENT); |
| assertEquals(-1.7014118E38f, halfMax); |
| assertEquals(-Float.MAX_VALUE, halfMax + Math.ulp(halfMax) + halfMax); |
| assertEquals(Float.NEGATIVE_INFINITY, halfMax + halfMax); |
| |
| assertEquals(Float.POSITIVE_INFINITY, Math.scalb(0.345f, 1234)); |
| assertEquals(Float.POSITIVE_INFINITY, Math.scalb(44.345E10f, 934)); |
| assertEquals(Float.NEGATIVE_INFINITY, Math.scalb(-44.345E10f, 934)); |
| |
| assertEquals(Float.POSITIVE_INFINITY, Math.scalb(Float.MIN_NORMAL / 2, |
| 400)); |
| assertEquals(Float.POSITIVE_INFINITY, Math.scalb(Float.MIN_VALUE, 800)); |
| assertEquals(Float.POSITIVE_INFINITY, Math.scalb(Float.MAX_VALUE, 1)); |
| assertEquals(Float.POSITIVE_INFINITY, Math.scalb( |
| Float.POSITIVE_INFINITY, 0)); |
| assertEquals(Float.POSITIVE_INFINITY, Math.scalb( |
| Float.POSITIVE_INFINITY, -1)); |
| assertEquals(Float.NEGATIVE_INFINITY, Math.scalb( |
| Float.NEGATIVE_INFINITY, -1)); |
| assertEquals(Float.NEGATIVE_INFINITY, Math.scalb( |
| Float.NEGATIVE_INFINITY, Float.MIN_EXPONENT)); |
| |
| // result is subnormal/zero |
| int posZeroBits = Float.floatToIntBits(+0.0f); |
| int negZeroBits = Float.floatToIntBits(-0.0f); |
| assertEquals(posZeroBits, Float.floatToIntBits(Math.scalb(+0.0f, |
| Integer.MAX_VALUE))); |
| assertEquals(posZeroBits, Float.floatToIntBits(Math.scalb(+0.0f, -123))); |
| assertEquals(posZeroBits, Float.floatToIntBits(Math.scalb(+0.0f, 0))); |
| assertEquals(negZeroBits, Float.floatToIntBits(Math.scalb(-0.0f, 123))); |
| assertEquals(negZeroBits, Float.floatToIntBits(Math.scalb(-0.0f, |
| Integer.MIN_VALUE))); |
| |
| assertEquals(Float.MIN_VALUE, Math.scalb(1.0f, -149)); |
| assertEquals(posZeroBits, Float.floatToIntBits(Math.scalb(1.0f, -150))); |
| assertEquals(negZeroBits, Float.floatToIntBits(Math.scalb(-1.0f, -150))); |
| |
| // precision lost |
| assertEquals(Math.scalb(21.405f, -154), Math.scalb(21.405f, -153)); |
| assertEquals(Float.MIN_VALUE, Math.scalb(21.405f, -154)); |
| assertEquals(-Float.MIN_VALUE, Math.scalb(-21.405f, -154)); |
| assertEquals(posZeroBits, Float.floatToIntBits(Math |
| .scalb(21.405f, -155))); |
| assertEquals(negZeroBits, Float.floatToIntBits(Math.scalb(-21.405f, |
| -155))); |
| assertEquals(posZeroBits, Float.floatToIntBits(Math.scalb( |
| Float.MIN_VALUE, -1))); |
| assertEquals(negZeroBits, Float.floatToIntBits(Math.scalb( |
| -Float.MIN_VALUE, -1))); |
| assertEquals(Float.MIN_VALUE, Math.scalb(Float.MIN_NORMAL, -23)); |
| assertEquals(posZeroBits, Float.floatToIntBits(Math.scalb( |
| Float.MIN_NORMAL, -24))); |
| assertEquals(negZeroBits, Float.floatToIntBits(Math.scalb( |
| -Float.MIN_NORMAL, -24))); |
| assertEquals(Float.MIN_VALUE, Math.scalb(Float.MAX_VALUE, -277)); |
| assertEquals(posZeroBits, Float.floatToIntBits(Math.scalb( |
| Float.MAX_VALUE, -278))); |
| assertEquals(negZeroBits, Float.floatToIntBits(Math.scalb( |
| -Float.MAX_VALUE, -278))); |
| assertEquals(Float.MIN_VALUE, Math.scalb(Float.MIN_NORMAL / 3, -22)); |
| assertEquals(posZeroBits, Float.floatToIntBits(Math.scalb( |
| Float.MIN_NORMAL / 3, -23))); |
| assertEquals(negZeroBits, Float.floatToIntBits(Math.scalb( |
| -Float.MIN_NORMAL / 3, -23))); |
| float subnormal = Math.scalb(Float.MIN_NORMAL / 3, -11); |
| assertEquals(1.913E-42f, subnormal); |
| // precision lost |
| assertFalse(Float.MIN_NORMAL / 3 == Math.scalb(subnormal, 11)); |
| |
| assertEquals(68747264, Float.floatToIntBits(Math.scalb( |
| Float.MIN_VALUE * 153, 23))); |
| assertEquals(-2078736384, Float.floatToIntBits(Math.scalb( |
| -Float.MIN_VALUE * 153, 23))); |
| |
| assertEquals(4896, Float.floatToIntBits(Math.scalb( |
| Float.MIN_VALUE * 153, 5))); |
| assertEquals(-2147478752, Float.floatToIntBits(Math.scalb( |
| -Float.MIN_VALUE * 153, 5))); |
| |
| // NaN |
| assertTrue(Float.isNaN(Math.scalb(Float.NaN, 1))); |
| assertTrue(Float.isNaN(Math.scalb(Float.NaN, 0))); |
| assertTrue(Float.isNaN(Math.scalb(Float.NaN, -120))); |
| |
| // test for exception |
| try { |
| Math.scalb((Float) null, (Integer) null); |
| fail("Should throw NullPointerException"); |
| } catch (NullPointerException e) { |
| // Expected |
| } |
| try { |
| Math.scalb(1.0f, (Integer) null); |
| fail("Should throw NullPointerException"); |
| } catch (NullPointerException e) { |
| // Expected |
| } |
| try { |
| Math.scalb((Float) null, 1); |
| fail("Should throw NullPointerException"); |
| } catch (NullPointerException e) { |
| // Expected |
| } |
| |
| int b1em126 = 0x00800000; // bit representation of Float.MIN_NORMAL |
| int b1em127 = 0x00400000; // bit representation of half |
| // Float.MIN_NORMAL |
| // assert exact identity |
| assertEquals(b1em127, Float.floatToIntBits(Math.scalb(Float |
| .intBitsToFloat(b1em126), -1))); |
| } |
| |
| /** |
| * java.lang.Math#signum(double) |
| */ |
| public void test_signum_D() { |
| assertTrue(Double.isNaN(Math.signum(Double.NaN))); |
| assertTrue(Double.isNaN(Math.signum(Double.NaN))); |
| assertEquals(Double.doubleToLongBits(0.0), Double.doubleToLongBits(Math |
| .signum(0.0))); |
| assertEquals(Double.doubleToLongBits(+0.0), Double |
| .doubleToLongBits(Math.signum(+0.0))); |
| assertEquals(Double.doubleToLongBits(-0.0), Double |
| .doubleToLongBits(Math.signum(-0.0))); |
| |
| assertEquals(1.0, Math.signum(253681.2187962), 0D); |
| assertEquals(-1.0, Math.signum(-125874693.56), 0D); |
| assertEquals(1.0, Math.signum(1.2587E-308), 0D); |
| assertEquals(-1.0, Math.signum(-1.2587E-308), 0D); |
| |
| assertEquals(1.0, Math.signum(Double.MAX_VALUE), 0D); |
| assertEquals(1.0, Math.signum(Double.MIN_VALUE), 0D); |
| assertEquals(-1.0, Math.signum(-Double.MAX_VALUE), 0D); |
| assertEquals(-1.0, Math.signum(-Double.MIN_VALUE), 0D); |
| assertEquals(1.0, Math.signum(Double.POSITIVE_INFINITY), 0D); |
| assertEquals(-1.0, Math.signum(Double.NEGATIVE_INFINITY), 0D); |
| } |
| |
| /** |
| * java.lang.Math#signum(float) |
| */ |
| public void test_signum_F() { |
| assertTrue(Float.isNaN(Math.signum(Float.NaN))); |
| assertEquals(Float.floatToIntBits(0.0f), Float |
| .floatToIntBits(Math.signum(0.0f))); |
| assertEquals(Float.floatToIntBits(+0.0f), Float |
| .floatToIntBits(Math.signum(+0.0f))); |
| assertEquals(Float.floatToIntBits(-0.0f), Float |
| .floatToIntBits(Math.signum(-0.0f))); |
| |
| assertEquals(1.0f, Math.signum(253681.2187962f), 0f); |
| assertEquals(-1.0f, Math.signum(-125874693.56f), 0f); |
| assertEquals(1.0f, Math.signum(1.2587E-11f), 0f); |
| assertEquals(-1.0f, Math.signum(-1.2587E-11f), 0f); |
| |
| assertEquals(1.0f, Math.signum(Float.MAX_VALUE), 0f); |
| assertEquals(1.0f, Math.signum(Float.MIN_VALUE), 0f); |
| assertEquals(-1.0f, Math.signum(-Float.MAX_VALUE), 0f); |
| assertEquals(-1.0f, Math.signum(-Float.MIN_VALUE), 0f); |
| assertEquals(1.0f, Math.signum(Float.POSITIVE_INFINITY), 0f); |
| assertEquals(-1.0f, Math.signum(Float.NEGATIVE_INFINITY), 0f); |
| } |
| |
| /** |
| * java.lang.Math#sin(double) |
| */ |
| public void test_sinD() { |
| // Test for method double java.lang.Math.sin(double) |
| assertEquals("Incorrect answer", 0.0, Math.sin(0), 0D); |
| assertEquals("Incorrect answer", 0.8414709848078965, Math.sin(1), 0D); |
| } |
| |
| /** |
| * java.lang.Math#sinh(double) |
| */ |
| public void test_sinh_D() { |
| // Test for special situations |
| assertTrue(Double.isNaN(Math.sinh(Double.NaN))); |
| assertEquals(Double.POSITIVE_INFINITY, Math.sinh(Double.POSITIVE_INFINITY), 0D); |
| assertEquals(Double.NEGATIVE_INFINITY, Math.sinh(Double.NEGATIVE_INFINITY), 0D); |
| assertEquals(Double.doubleToLongBits(0.0), Double.doubleToLongBits(Math.sinh(0.0))); |
| assertEquals(Double.doubleToLongBits(+0.0), Double.doubleToLongBits(Math.sinh(+0.0))); |
| assertEquals(Double.doubleToLongBits(-0.0), Double.doubleToLongBits(Math.sinh(-0.0))); |
| |
| assertEquals(Double.POSITIVE_INFINITY, Math.sinh(1234.56), 0D); |
| assertEquals(Double.NEGATIVE_INFINITY, Math.sinh(-1234.56), 0D); |
| assertEquals(1.0000000000001666E-6, Math.sinh(0.000001), 0D); |
| assertEquals(-1.0000000000001666E-6, Math.sinh(-0.000001), 0D); |
| assertEquals(5.115386441963859, Math.sinh(2.33482), Math.ulp(5.115386441963859)); |
| assertEquals(Double.POSITIVE_INFINITY, Math.sinh(Double.MAX_VALUE), 0D); |
| assertEquals(4.9E-324, Math.sinh(Double.MIN_VALUE), 0D); |
| } |
| |
| /** |
| * java.lang.Math#sqrt(double) |
| */ |
| public void test_sqrtD() { |
| // Test for method double java.lang.Math.sqrt(double) |
| assertEquals("Incorrect root returned2", 7, Math.sqrt(49), 0); |
| } |
| |
| /** |
| * java.lang.Math#tan(double) |
| */ |
| public void test_tanD() { |
| // Test for method double java.lang.Math.tan(double) |
| assertEquals("Incorrect answer", 0.0, Math.tan(0), 0D); |
| assertEquals("Incorrect answer", 1.5574077246549023, Math.tan(1), 0D); |
| |
| } |
| |
| /** |
| * java.lang.Math#tanh(double) |
| */ |
| public void test_tanh_D() { |
| // Test for special situations |
| assertTrue("Should return NaN", Double.isNaN(Math.tanh(Double.NaN))); |
| assertEquals("Should return +1.0", +1.0, Math |
| .tanh(Double.POSITIVE_INFINITY), 0D); |
| assertEquals("Should return -1.0", -1.0, Math |
| .tanh(Double.NEGATIVE_INFINITY), 0D); |
| assertEquals(Double.doubleToLongBits(0.0), Double.doubleToLongBits(Math |
| .tanh(0.0))); |
| assertEquals(Double.doubleToLongBits(+0.0), Double |
| .doubleToLongBits(Math.tanh(+0.0))); |
| assertEquals(Double.doubleToLongBits(-0.0), Double |
| .doubleToLongBits(Math.tanh(-0.0))); |
| |
| assertEquals("Should return 1.0", 1.0, Math.tanh(1234.56), 0D); |
| assertEquals("Should return -1.0", -1.0, Math.tanh(-1234.56), 0D); |
| assertEquals("Should return 9.999999999996666E-7", |
| 9.999999999996666E-7, Math.tanh(0.000001), 0D); |
| assertEquals("Should return 0.981422884124941", 0.981422884124941, Math |
| .tanh(2.33482), 0D); |
| assertEquals("Should return 1.0", 1.0, Math.tanh(Double.MAX_VALUE), 0D); |
| assertEquals("Should return 4.9E-324", 4.9E-324, Math |
| .tanh(Double.MIN_VALUE), 0D); |
| } |
| |
| /** |
| * java.lang.Math#random() |
| */ |
| public void test_random() { |
| // There isn't a place for these tests so just stick them here |
| assertEquals("Wrong value E", |
| 4613303445314885481L, Double.doubleToLongBits(Math.E)); |
| assertEquals("Wrong value PI", |
| 4614256656552045848L, Double.doubleToLongBits(Math.PI)); |
| |
| for (int i = 500; i >= 0; i--) { |
| double d = Math.random(); |
| assertTrue("Generated number is out of range: " + d, d >= 0.0 |
| && d < 1.0); |
| } |
| } |
| |
| /** |
| * java.lang.Math#toRadians(double) |
| */ |
| public void test_toRadiansD() { |
| for (double d = 500; d >= 0; d -= 1.0) { |
| double converted = Math.toDegrees(Math.toRadians(d)); |
| assertTrue("Converted number not equal to original. d = " + d, |
| converted >= d * 0.99999999 && converted <= d * 1.00000001); |
| } |
| } |
| |
| /** |
| * java.lang.Math#toDegrees(double) |
| */ |
| public void test_toDegreesD() { |
| for (double d = 500; d >= 0; d -= 1.0) { |
| double converted = Math.toRadians(Math.toDegrees(d)); |
| assertTrue("Converted number not equal to original. d = " + d, |
| converted >= d * 0.99999999 && converted <= d * 1.00000001); |
| } |
| } |
| |
| /** |
| * java.lang.Math#ulp(double) |
| */ |
| @SuppressWarnings("boxing") |
| public void test_ulp_D() { |
| // Test for special cases |
| assertTrue("Should return NaN", Double.isNaN(Math.ulp(Double.NaN))); |
| assertEquals("Returned incorrect value", Double.POSITIVE_INFINITY, Math |
| .ulp(Double.POSITIVE_INFINITY), 0D); |
| assertEquals("Returned incorrect value", Double.POSITIVE_INFINITY, Math |
| .ulp(Double.NEGATIVE_INFINITY), 0D); |
| assertEquals("Returned incorrect value", Double.MIN_VALUE, Math |
| .ulp(0.0), 0D); |
| assertEquals("Returned incorrect value", Double.MIN_VALUE, Math |
| .ulp(+0.0), 0D); |
| assertEquals("Returned incorrect value", Double.MIN_VALUE, Math |
| .ulp(-0.0), 0D); |
| assertEquals("Returned incorrect value", Math.pow(2, 971), Math |
| .ulp(Double.MAX_VALUE), 0D); |
| assertEquals("Returned incorrect value", Math.pow(2, 971), Math |
| .ulp(-Double.MAX_VALUE), 0D); |
| |
| assertEquals("Returned incorrect value", Double.MIN_VALUE, Math |
| .ulp(Double.MIN_VALUE), 0D); |
| assertEquals("Returned incorrect value", Double.MIN_VALUE, Math |
| .ulp(-Double.MIN_VALUE), 0D); |
| |
| assertEquals("Returned incorrect value", 2.220446049250313E-16, Math |
| .ulp(1.0), 0D); |
| assertEquals("Returned incorrect value", 2.220446049250313E-16, Math |
| .ulp(-1.0), 0D); |
| assertEquals("Returned incorrect value", 2.2737367544323206E-13, Math |
| .ulp(1153.0), 0D); |
| } |
| |
| /** |
| * java.lang.Math#ulp(float) |
| */ |
| @SuppressWarnings("boxing") |
| public void test_ulp_f() { |
| // Test for special cases |
| assertTrue("Should return NaN", Float.isNaN(Math.ulp(Float.NaN))); |
| assertEquals("Returned incorrect value", Float.POSITIVE_INFINITY, Math |
| .ulp(Float.POSITIVE_INFINITY), 0f); |
| assertEquals("Returned incorrect value", Float.POSITIVE_INFINITY, Math |
| .ulp(Float.NEGATIVE_INFINITY), 0f); |
| assertEquals("Returned incorrect value", Float.MIN_VALUE, Math |
| .ulp(0.0f), 0f); |
| assertEquals("Returned incorrect value", Float.MIN_VALUE, Math |
| .ulp(+0.0f), 0f); |
| assertEquals("Returned incorrect value", Float.MIN_VALUE, Math |
| .ulp(-0.0f), 0f); |
| assertEquals("Returned incorrect value", 2.028241E31f, Math |
| .ulp(Float.MAX_VALUE), 0f); |
| assertEquals("Returned incorrect value", 2.028241E31f, Math |
| .ulp(-Float.MAX_VALUE), 0f); |
| |
| assertEquals("Returned incorrect value", 1.4E-45f, Math |
| .ulp(Float.MIN_VALUE), 0f); |
| assertEquals("Returned incorrect value", 1.4E-45f, Math |
| .ulp(-Float.MIN_VALUE), 0f); |
| |
| assertEquals("Returned incorrect value", 1.1920929E-7f, Math.ulp(1.0f), |
| 0f); |
| assertEquals("Returned incorrect value", 1.1920929E-7f, |
| Math.ulp(-1.0f), 0f); |
| assertEquals("Returned incorrect value", 1.2207031E-4f, Math |
| .ulp(1153.0f), 0f); |
| assertEquals("Returned incorrect value", 5.6E-45f, Math |
| .ulp(9.403954E-38f), 0f); |
| } |
| |
| /** |
| * {@link java.lang.Math#shiftIntBits(int, int)} |
| * @since 1.6 |
| */ |
| public void test_shiftIntBits_II() { |
| class Tuple { |
| public int result; |
| |
| public int value; |
| |
| public int factor; |
| |
| public Tuple(int result, int value, int factor) { |
| this.result = result; |
| this.value = value; |
| this.factor = factor; |
| } |
| } |
| final Tuple[] TUPLES = new Tuple[] { |
| // sub-normal to sub-normal |
| new Tuple(0x00000000, 0x00000001, -1), |
| // round to even |
| new Tuple(0x00000002, 0x00000003, -1), |
| // round to even |
| new Tuple(0x00000001, 0x00000005, -3), |
| // round to infinity |
| new Tuple(0x00000002, 0x0000000d, -3), |
| // round to infinity |
| |
| // normal to sub-normal |
| new Tuple(0x00000002, 0x01a00000, -24), |
| // round to even |
| new Tuple(0x00000004, 0x01e00000, -24), |
| // round to even |
| new Tuple(0x00000003, 0x01c80000, -24), |
| // round to infinity |
| new Tuple(0x00000004, 0x01e80000, -24), |
| // round to infinity |
| }; |
| for (int i = 0; i < TUPLES.length; ++i) { |
| Tuple tuple = TUPLES[i]; |
| assertEquals(tuple.result, Float.floatToIntBits(Math.scalb(Float |
| .intBitsToFloat(tuple.value), tuple.factor))); |
| assertEquals(tuple.result, Float.floatToIntBits(-Math.scalb(-Float |
| .intBitsToFloat(tuple.value), tuple.factor))); |
| } |
| } |
| |
| /** |
| * {@link java.lang.Math#shiftLongBits(long, long)} |
| * <p/> |
| * Round result to nearest value on precision lost. |
| * @since 1.6 |
| */ |
| public void test_shiftLongBits_LL() { |
| class Tuple { |
| public long result; |
| |
| public long value; |
| |
| public int factor; |
| |
| public Tuple(long result, long value, int factor) { |
| this.result = result; |
| this.value = value; |
| this.factor = factor; |
| } |
| } |
| final Tuple[] TUPLES = new Tuple[] { |
| // sub-normal to sub-normal |
| new Tuple(0x00000000L, 0x00000001L, -1), |
| //round to even |
| new Tuple(0x00000002L, 0x00000003L, -1), |
| //round to even |
| new Tuple(0x00000001L, 0x00000005L, -3), |
| //round to infinity |
| new Tuple(0x00000002L, 0x0000000dL, -3), |
| //round to infinity |
| |
| // normal to sub-normal |
| new Tuple(0x0000000000000002L, 0x0034000000000000L, -53), // round to even |
| new Tuple(0x0000000000000004L, 0x003c000000000000L, -53), // round to even |
| new Tuple(0x0000000000000003L, 0x0035000000000000L, -53), // round to infinity |
| new Tuple(0x0000000000000004L, 0x003d000000000000L, -53), // round to infinity |
| }; |
| for (int i = 0; i < TUPLES.length; ++i) { |
| Tuple tuple = TUPLES[i]; |
| assertEquals(tuple.result, Double.doubleToLongBits(Math.scalb( |
| Double.longBitsToDouble(tuple.value), tuple.factor))); |
| assertEquals(tuple.result, Double.doubleToLongBits(-Math.scalb( |
| -Double.longBitsToDouble(tuple.value), tuple.factor))); |
| } |
| } |
| } |
