mirror of
https://github.com/dart-lang/sdk
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84e3c8b50f
Closes https://github.com/dart-lang/sdk/pull/50920 GitOrigin-RevId: fa87531bd0f52b69485c9d02ff9e44a4a29c6a91 Change-Id: I0ae8574a5b77087895e004079f221201bb550cf3 Reviewed-on: https://dart-review.googlesource.com/c/sdk/+/278535 Reviewed-by: Martin Kustermann <kustermann@google.com> Reviewed-by: Alexander Thomas <athom@google.com> Commit-Queue: Alexander Thomas <athom@google.com>
266 lines
10 KiB
Dart
266 lines
10 KiB
Dart
// Copyright (c) 2012, the Dart project authors. Please see the AUTHORS file
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// for details. All rights reserved. Use of this source code is governed by a
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// BSD-style license that can be found in the LICENSE file.
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// We temporarily test both the new math library and the old Math
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// class. This can easily be simplified once we get rid of the Math
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// class entirely.
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library math_test;
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import "package:expect/expect.dart";
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import 'dart:math' as math;
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class MathLibraryTest {
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static void testConstants() {
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// Source for mathematical constants is Wolfram Alpha.
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Expect.equals(
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2.7182818284590452353602874713526624977572470936999595749669, math.e);
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Expect.equals(2.3025850929940456840179914546843642076011014886287729760333,
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math.ln10);
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Expect.equals(
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0.6931471805599453094172321214581765680755001343602552541206, math.ln2);
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Expect.equals(1.4426950408889634073599246810018921374266459541529859341354,
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math.log2e);
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Expect.equals(0.4342944819032518276511289189166050822943970058036665661144,
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math.log10e);
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Expect.equals(
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3.1415926535897932384626433832795028841971693993751058209749, math.pi);
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Expect.equals(0.7071067811865475244008443621048490392848359376884740365883,
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math.sqrt1_2);
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Expect.equals(1.4142135623730950488016887242096980785696718753769480731766,
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math.sqrt2);
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}
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static checkClose(double a, double b, EPSILON) {
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Expect.equals(true, a - EPSILON <= b);
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Expect.equals(true, b <= a + EPSILON);
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}
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static void testSin() {
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// Given the imprecision of pi we can't expect better results than this.
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final double EPSILON = 1e-15;
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checkClose(0.0, math.sin(0.0), EPSILON);
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checkClose(0.0, math.sin(math.pi), EPSILON);
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checkClose(0.0, math.sin(2.0 * math.pi), EPSILON);
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checkClose(1.0, math.sin(math.pi / 2.0), EPSILON);
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checkClose(-1.0, math.sin(math.pi * (3.0 / 2.0)), EPSILON);
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}
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static void testCos() {
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// Given the imprecision of pi we can't expect better results than this.
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final double EPSILON = 1e-15;
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checkClose(1.0, math.cos(0.0), EPSILON);
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checkClose(-1.0, math.cos(math.pi), EPSILON);
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checkClose(1.0, math.cos(2.0 * math.pi), EPSILON);
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checkClose(0.0, math.cos(math.pi / 2.0), EPSILON);
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checkClose(0.0, math.cos(math.pi * (3.0 / 2.0)), EPSILON);
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}
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static void testTan() {
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// Given the imprecision of pi we can't expect better results than this.
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final double EPSILON = 1e-15;
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checkClose(0.0, math.tan(0.0), EPSILON);
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checkClose(0.0, math.tan(math.pi), EPSILON);
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checkClose(0.0, math.tan(2.0 * math.pi), EPSILON);
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checkClose(1.0, math.tan(math.pi / 4.0), EPSILON);
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}
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static void testAsin() {
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// Given the imprecision of pi we can't expect better results than this.
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final double EPSILON = 1e-15;
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checkClose(0.0, math.asin(0.0), EPSILON);
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checkClose(math.pi / 2.0, math.asin(1.0), EPSILON);
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checkClose(-math.pi / 2.0, math.asin(-1.0), EPSILON);
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}
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static void testAcos() {
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// Given the imprecision of pi we can't expect better results than this.
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final double EPSILON = 1e-15;
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checkClose(0.0, math.acos(1.0), EPSILON);
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checkClose(math.pi, math.acos(-1.0), EPSILON);
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checkClose(math.pi / 2.0, math.acos(0.0), EPSILON);
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}
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static void testAtan() {
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// Given the imprecision of pi we can't expect better results than this.
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final double EPSILON = 1e-15;
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checkClose(0.0, math.atan(0.0), EPSILON);
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checkClose(math.pi / 4.0, math.atan(1.0), EPSILON);
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checkClose(-math.pi / 4.0, math.atan(-1.0), EPSILON);
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}
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static void testAtan2() {
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// Given the imprecision of pi we can't expect better results than this.
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final double EPSILON = 1e-15;
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checkClose(0.0, math.atan2(0.0, 5.0), EPSILON);
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checkClose(math.pi / 4.0, math.atan2(2.0, 2.0), EPSILON);
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checkClose(3 * math.pi / 4.0, math.atan2(0.5, -0.5), EPSILON);
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checkClose(-3 * math.pi / 4.0, math.atan2(-2.5, -2.5), EPSILON);
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}
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static checkVeryClose(double a, num b) {
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// We find a ulp (unit in the last place) by shifting the original number
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// to the right. This only works if we are not too close to infinity or if
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// we work with denormals.
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// We special case or 0.0, but not for infinity.
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if (a == 0.0) {
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final minimalDouble = 4.9406564584124654e-324;
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Expect.equals(true, b.abs() <= minimalDouble);
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return;
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}
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if (b == 0.0) {
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// No need to look if they are close. Otherwise the check for 'a' above
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// would have triggered.
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Expect.equals(a, b);
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}
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final double shiftRightBy52 = 2.220446049250313080847263336181640625e-16;
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final double shiftedA = (a * shiftRightBy52).abs();
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// Compared to 'a', 'shiftedA' is now ~1-2 ulp.
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final double limitLow = a - shiftedA;
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final double limitHigh = a + shiftedA;
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Expect.equals(false, a == limitLow);
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Expect.equals(false, a == limitHigh);
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Expect.equals(true, limitLow <= b);
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Expect.equals(true, b <= limitHigh);
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}
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static void testSqrt() {
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checkVeryClose(2.0, math.sqrt(4.0));
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checkVeryClose(math.sqrt2, math.sqrt(2.0));
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checkVeryClose(math.sqrt1_2, math.sqrt(0.5));
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checkVeryClose(1e50, math.sqrt(1e100));
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checkVeryClose(1.1111111061110855443054405046358901279277111935183977e56,
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math.sqrt(12345678901234e99));
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}
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static void testExp() {
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checkVeryClose(math.e, math.exp(1.0));
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final EPSILON = 1e-15;
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checkClose(10.0, math.exp(math.ln10), EPSILON);
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checkClose(2.0, math.exp(math.ln2), EPSILON);
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}
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static void testLog() {
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// Even though E is imprecise, it is good enough to get really close to 1.
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// We still provide an epsilon.
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checkClose(1.0, math.log(math.e), 1e-16);
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checkVeryClose(math.ln10, math.log(10.0));
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checkVeryClose(math.ln2, math.log(2.0));
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}
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static void testPow() {
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checkVeryClose(16.0, math.pow(4.0, 2.0));
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checkVeryClose(math.sqrt2, math.pow(2.0, 0.5));
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checkVeryClose(math.sqrt1_2, math.pow(0.5, 0.5));
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}
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static bool parseIntThrowsFormatException(str) {
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try {
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int.parse(str);
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return false;
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} on FormatException catch (e) {
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return true;
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}
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}
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static void testParseInt() {
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Expect.equals(499, int.parse("499"));
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Expect.equals(499, int.parse("+499"));
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Expect.equals(-499, int.parse("-499"));
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Expect.equals(499, int.parse(" 499 "));
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Expect.equals(499, int.parse(" +499 "));
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Expect.equals(-499, int.parse(" -499 "));
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Expect.equals(0, int.parse("0"));
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Expect.equals(0, int.parse("+0"));
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Expect.equals(0, int.parse("-0"));
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Expect.equals(0, int.parse(" 0 "));
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Expect.equals(0, int.parse(" +0 "));
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Expect.equals(0, int.parse(" -0 "));
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Expect.equals(0x1234567890, int.parse("0x1234567890"));
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Expect.equals(-0x1234567890, int.parse("-0x1234567890"));
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Expect.equals(0x1234567890, int.parse(" 0x1234567890 "));
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Expect.equals(-0x1234567890, int.parse(" -0x1234567890 "));
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Expect.equals(256, int.parse("0x100"));
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Expect.equals(-256, int.parse("-0x100"));
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Expect.equals(256, int.parse(" 0x100 "));
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Expect.equals(-256, int.parse(" -0x100 "));
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Expect.equals(0xabcdef, int.parse("0xabcdef"));
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Expect.equals(0xABCDEF, int.parse("0xABCDEF"));
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Expect.equals(0xabcdef, int.parse("0xabCDEf"));
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Expect.equals(-0xabcdef, int.parse("-0xabcdef"));
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Expect.equals(-0xABCDEF, int.parse("-0xABCDEF"));
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Expect.equals(0xabcdef, int.parse(" 0xabcdef "));
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Expect.equals(0xABCDEF, int.parse(" 0xABCDEF "));
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Expect.equals(-0xabcdef, int.parse(" -0xabcdef "));
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Expect.equals(-0xABCDEF, int.parse(" -0xABCDEF "));
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Expect.equals(0xabcdef, int.parse("0x00000abcdef"));
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Expect.equals(0xABCDEF, int.parse("0x00000ABCDEF"));
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Expect.equals(-0xabcdef, int.parse("-0x00000abcdef"));
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Expect.equals(-0xABCDEF, int.parse("-0x00000ABCDEF"));
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Expect.equals(0xabcdef, int.parse(" 0x00000abcdef "));
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Expect.equals(0xABCDEF, int.parse(" 0x00000ABCDEF "));
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Expect.equals(-0xabcdef, int.parse(" -0x00000abcdef "));
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Expect.equals(-0xABCDEF, int.parse(" -0x00000ABCDEF "));
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Expect.equals(10, int.parse("010"));
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Expect.equals(-10, int.parse("-010"));
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Expect.equals(10, int.parse(" 010 "));
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Expect.equals(-10, int.parse(" -010 "));
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Expect.equals(9, int.parse("09"));
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Expect.equals(9, int.parse(" 09 "));
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Expect.equals(-9, int.parse("-09"));
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Expect.equals(0x1234567890, int.parse("+0x1234567890"));
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Expect.equals(0x1234567890, int.parse(" +0x1234567890 "));
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Expect.equals(0x100, int.parse("+0x100"));
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Expect.equals(0x100, int.parse(" +0x100 "));
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Expect.equals(true, parseIntThrowsFormatException("1b"));
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Expect.equals(true, parseIntThrowsFormatException(" 1b "));
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Expect.equals(true, parseIntThrowsFormatException(" 1 b "));
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Expect.equals(true, parseIntThrowsFormatException("1e2"));
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Expect.equals(true, parseIntThrowsFormatException(" 1e2 "));
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Expect.equals(true, parseIntThrowsFormatException("00x12"));
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Expect.equals(true, parseIntThrowsFormatException(" 00x12 "));
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Expect.equals(true, parseIntThrowsFormatException("-1b"));
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Expect.equals(true, parseIntThrowsFormatException(" -1b "));
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Expect.equals(true, parseIntThrowsFormatException(" -1 b "));
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Expect.equals(true, parseIntThrowsFormatException("-1e2"));
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Expect.equals(true, parseIntThrowsFormatException(" -1e2 "));
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Expect.equals(true, parseIntThrowsFormatException("-00x12"));
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Expect.equals(true, parseIntThrowsFormatException(" -00x12 "));
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Expect.equals(true, parseIntThrowsFormatException(" -00x12 "));
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Expect.equals(true, parseIntThrowsFormatException("0x0x12"));
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Expect.equals(true, parseIntThrowsFormatException("0.1"));
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Expect.equals(true, parseIntThrowsFormatException("0x3.1"));
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Expect.equals(true, parseIntThrowsFormatException("5."));
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Expect.equals(true, parseIntThrowsFormatException("+-5"));
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Expect.equals(true, parseIntThrowsFormatException("-+5"));
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Expect.equals(true, parseIntThrowsFormatException("--5"));
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Expect.equals(true, parseIntThrowsFormatException("++5"));
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Expect.equals(true, parseIntThrowsFormatException("+ 5"));
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Expect.equals(true, parseIntThrowsFormatException("- 5"));
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Expect.equals(true, parseIntThrowsFormatException(""));
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Expect.equals(true, parseIntThrowsFormatException(" "));
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}
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static testMain() {
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testConstants();
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testSin();
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testCos();
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testTan();
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testAsin();
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testAcos();
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testAtan();
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testAtan2();
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testSqrt();
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testLog();
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testExp();
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testPow();
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testParseInt();
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}
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}
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main() {
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MathLibraryTest.testMain();
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}
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