Fix issue 4456 (BadNumberFormatException -> FormatException).

tests/corelib/math_test.dart

 // Copyright (c) 2011, the Dart project authors.  Please see the AUTHORS file
 // for details. All rights reserved. Use of this source code is governed by a
 // BSD-style license that can be found in the LICENSE file.
 
+// We temporarily test both the new math library and the old Math
+// class. This can easily be simplified once we get rid of the Math
+// class entirely.

[Lasse Reichstein Nielsen, 2012/08/14 10:27:12]

Which is Real Soon Now.
Otherwise I'd suggest parameterizing each test by a function and passing either
math.sin or Math.sin to it.

+#import('dart:math', prefix: 'math');
+
 class MathTest {
   static void testConstants() {
     // Source for mathematical constants is Wolfram Alpha.
     Expect.equals(2.7182818284590452353602874713526624977572470936999595749669,
                   Math.E);
     Expect.equals(2.3025850929940456840179914546843642076011014886287729760333,
                   Math.LN10);
     Expect.equals(0.6931471805599453094172321214581765680755001343602552541206,
                   Math.LN2);
     Expect.equals(1.4426950408889634073599246810018921374266459541529859341354,
@@ skipping 230 matching lines @@
     testAtan();
     testAtan2();
     testSqrt();
     testLog();
     testExp();
     testPow();
     testParseInt();
   }
 }
 
+class MathLibraryTest {
+  static void testConstants() {
+    // Source for mathematical constants is Wolfram Alpha.
+    Expect.equals(2.7182818284590452353602874713526624977572470936999595749669,
+                  math.E);
+    Expect.equals(2.3025850929940456840179914546843642076011014886287729760333,
+                  math.LN10);
+    Expect.equals(0.6931471805599453094172321214581765680755001343602552541206,
+                  math.LN2);
+    Expect.equals(1.4426950408889634073599246810018921374266459541529859341354,
+                  math.LOG2E);
+    Expect.equals(0.4342944819032518276511289189166050822943970058036665661144,
+                  math.LOG10E);
+    Expect.equals(3.1415926535897932384626433832795028841971693993751058209749,
+                  math.PI);
+    Expect.equals(0.7071067811865475244008443621048490392848359376884740365883,
+                  math.SQRT1_2);
+    Expect.equals(1.4142135623730950488016887242096980785696718753769480731766,
+                  math.SQRT2);
+  }
+
+  static checkClose(double a, double b, EPSILON) {
+    Expect.equals(true, a - EPSILON <= b);
+    Expect.equals(true, b <= a + EPSILON);
+  }
+
+  static void testSin() {
+    // Given the imprecision of PI we can't expect better results than this.
+    final double EPSILON = 1e-15;
+    checkClose(0.0, math.sin(0.0), EPSILON);
+    checkClose(0.0, math.sin(math.PI), EPSILON);
+    checkClose(0.0, math.sin(2.0 * math.PI), EPSILON);
+    checkClose(1.0, math.sin(math.PI / 2.0), EPSILON);
+    checkClose(-1.0, math.sin(math.PI * (3.0 / 2.0)), EPSILON);
+  }
+
+  static void testCos() {
+    // Given the imprecision of PI we can't expect better results than this.
+    final double EPSILON = 1e-15;
+    checkClose(1.0, math.cos(0.0), EPSILON);
+    checkClose(-1.0, math.cos(math.PI), EPSILON);
+    checkClose(1.0, math.cos(2.0 * math.PI), EPSILON);
+    checkClose(0.0, math.cos(math.PI / 2.0), EPSILON);
+    checkClose(0.0, math.cos(math.PI * (3.0 / 2.0)), EPSILON);
+  }
+
+  static void testTan() {
+    // Given the imprecision of PI we can't expect better results than this.
+    final double EPSILON = 1e-15;
+    checkClose(0.0, math.tan(0.0), EPSILON);
+    checkClose(0.0, math.tan(math.PI), EPSILON);
+    checkClose(0.0, math.tan(2.0 * math.PI), EPSILON);
+    checkClose(1.0, math.tan(math.PI / 4.0), EPSILON);
+  }
+
+  static void testAsin() {
+    // Given the imprecision of PI we can't expect better results than this.
+    final double EPSILON = 1e-15;
+    checkClose(0.0, math.asin(0.0), EPSILON);
+    checkClose(math.PI / 2.0, math.asin(1.0), EPSILON);
+    checkClose(-math.PI / 2.0, math.asin(-1.0), EPSILON);
+  }
+
+
+  static void testAcos() {
+    // Given the imprecision of PI we can't expect better results than this.
+    final double EPSILON = 1e-15;
+    checkClose(0.0, math.acos(1.0), EPSILON);
+    checkClose(math.PI, math.acos(-1.0), EPSILON);
+    checkClose(math.PI / 2.0, math.acos(0.0), EPSILON);
+  }
+
+  static void testAtan() {
+    // Given the imprecision of PI we can't expect better results than this.
+    final double EPSILON = 1e-15;
+    checkClose(0.0, math.atan(0.0), EPSILON);
+    checkClose(math.PI / 4.0, math.atan(1.0), EPSILON);
+    checkClose(-math.PI / 4.0, math.atan(-1.0), EPSILON);
+  }
+
+  static void testAtan2() {
+    // Given the imprecision of PI we can't expect better results than this.
+    final double EPSILON = 1e-15;
+    checkClose(0.0, math.atan2(0.0, 5.0), EPSILON);
+    checkClose(math.PI / 4.0, math.atan2(2.0, 2.0), EPSILON);
+    checkClose(3 * math.PI / 4.0, math.atan2(0.5, -0.5), EPSILON);
+    checkClose(-3 * math.PI / 4.0, math.atan2(-2.5, -2.5), EPSILON);
+  }
+
+  static checkVeryClose(double a, double b) {
+    // We find a ulp (unit in the last place) by shifting the original number
+    // to the right. This only works if we are not too close to infinity or if
+    // we work with denormals.
+    // We special case or 0.0, but not for infinity.
+    if (a == 0.0) {
+      final minimalDouble = 4.9406564584124654e-324;
+      Expect.equals(true, b.abs() <= minimalDouble);
+      return;
+    }
+    if (b == 0.0) {
+      // No need to look if they are close. Otherwise the check for 'a' above
+      // whould have triggered.
+      Expect.equals(a, b);
+    }
+    final double shiftRightBy52 = 2.220446049250313080847263336181640625e-16;
+    final double shiftedA = (a * shiftRightBy52).abs();
+    // Compared to 'a', 'shiftedA' is now ~1-2 ulp.
+
+    final double limitLow = a - shiftedA;
+    final double limitHigh = a + shiftedA;
+    Expect.equals(false, a == limitLow);
+    Expect.equals(false, a == limitHigh);
+    Expect.equals(true, limitLow <= b);
+    Expect.equals(true, b <= limitHigh);
+  }
+
+  static void testSqrt() {
+    checkVeryClose(2.0, math.sqrt(4.0));
+    checkVeryClose(math.SQRT2, math.sqrt(2.0));
+    checkVeryClose(math.SQRT1_2, math.sqrt(0.5));
+    checkVeryClose(1e50, math.sqrt(1e100));
+    checkVeryClose(1.1111111061110855443054405046358901279277111935183977e56,
+                   math.sqrt(12345678901234e99));
+  }
+
+  static void testExp() {
+    checkVeryClose(math.E, math.exp(1.0));
+    final EPSILON = 1e-15;
+    checkClose(10.0, math.exp(math.LN10), EPSILON);
+    checkClose(2.0, math.exp(math.LN2), EPSILON);
+  }
+
+  static void testLog() {
+    // Even though E is imprecise, it is good enough to get really close to 1.
+    // We still provide an epsilon.
+    checkClose(1.0, math.log(math.E), 1e-16);
+    checkVeryClose(math.LN10, math.log(10.0));
+    checkVeryClose(math.LN2, math.log(2.0));
+  }
+
+  static void testPow() {
+    checkVeryClose(16.0, math.pow(4.0, 2.0));
+    checkVeryClose(math.SQRT2, math.pow(2.0, 0.5));
+    checkVeryClose(math.SQRT1_2, math.pow(0.5, 0.5));
+  }
+
+  static bool parseIntThrowsFormatException(str) {
+    try {
+      math.parseInt(str);
+      return false;
+    } catch (FormatException e) {
+      return true;
+    }
+  }
+
+  static void testParseInt() {
+    Expect.equals(499, math.parseInt("499"));
+    Expect.equals(499, math.parseInt("+499"));
+    Expect.equals(-499, math.parseInt("-499"));
+    Expect.equals(499, math.parseInt("   499   "));
+    Expect.equals(499, math.parseInt("   +499   "));
+    Expect.equals(-499, math.parseInt("   -499   "));
+    Expect.equals(0, math.parseInt("0"));
+    Expect.equals(0, math.parseInt("+0"));
+    Expect.equals(0, math.parseInt("-0"));
+    Expect.equals(0, math.parseInt("   0   "));
+    Expect.equals(0, math.parseInt("   +0   "));
+    Expect.equals(0, math.parseInt("   -0   "));
+    Expect.equals(0x1234567890, math.parseInt("0x1234567890"));
+    Expect.equals(-0x1234567890, math.parseInt("-0x1234567890"));
+    Expect.equals(0x1234567890, math.parseInt("   0x1234567890   "));
+    Expect.equals(-0x1234567890, math.parseInt("   -0x1234567890   "));
+    Expect.equals(256, math.parseInt("0x100"));
+    Expect.equals(-256, math.parseInt("-0x100"));
+    Expect.equals(256, math.parseInt("   0x100   "));
+    Expect.equals(-256, math.parseInt("   -0x100   "));
+    Expect.equals(0xabcdef, math.parseInt("0xabcdef"));
+    Expect.equals(0xABCDEF, math.parseInt("0xABCDEF"));
+    Expect.equals(0xabcdef, math.parseInt("0xabCDEf"));
+    Expect.equals(-0xabcdef, math.parseInt("-0xabcdef"));
+    Expect.equals(-0xABCDEF, math.parseInt("-0xABCDEF"));
+    Expect.equals(0xabcdef, math.parseInt("   0xabcdef   "));
+    Expect.equals(0xABCDEF, math.parseInt("   0xABCDEF   "));
+    Expect.equals(-0xabcdef, math.parseInt("   -0xabcdef   "));
+    Expect.equals(-0xABCDEF, math.parseInt("   -0xABCDEF   "));
+    Expect.equals(0xabcdef, math.parseInt("0x00000abcdef"));
+    Expect.equals(0xABCDEF, math.parseInt("0x00000ABCDEF"));
+    Expect.equals(-0xabcdef, math.parseInt("-0x00000abcdef"));
+    Expect.equals(-0xABCDEF, math.parseInt("-0x00000ABCDEF"));
+    Expect.equals(0xabcdef, math.parseInt("   0x00000abcdef   "));
+    Expect.equals(0xABCDEF, math.parseInt("   0x00000ABCDEF   "));
+    Expect.equals(-0xabcdef, math.parseInt("   -0x00000abcdef   "));
+    Expect.equals(-0xABCDEF, math.parseInt("   -0x00000ABCDEF   "));
+    Expect.equals(10, math.parseInt("010"));
+    Expect.equals(-10, math.parseInt("-010"));
+    Expect.equals(10, math.parseInt("   010   "));
+    Expect.equals(-10, math.parseInt("   -010   "));
+    Expect.equals(9, math.parseInt("09"));
+    Expect.equals(9, math.parseInt(" 09 "));
+    Expect.equals(-9, math.parseInt("-09"));
+    Expect.equals(true, parseIntThrowsFormatException("1b"));
+    Expect.equals(true, parseIntThrowsFormatException(" 1b "));
+    Expect.equals(true, parseIntThrowsFormatException(" 1 b "));
+    Expect.equals(true, parseIntThrowsFormatException("1e2"));
+    Expect.equals(true, parseIntThrowsFormatException(" 1e2 "));
+    Expect.equals(true, parseIntThrowsFormatException("00x12"));
+    Expect.equals(true, parseIntThrowsFormatException(" 00x12 "));
+    Expect.equals(true, parseIntThrowsFormatException("-1b"));
+    Expect.equals(true, parseIntThrowsFormatException(" -1b "));
+    Expect.equals(true, parseIntThrowsFormatException(" -1 b "));
+    Expect.equals(true, parseIntThrowsFormatException("-1e2"));
+    Expect.equals(true, parseIntThrowsFormatException(" -1e2 "));
+    Expect.equals(true, parseIntThrowsFormatException("-00x12"));
+    Expect.equals(true, parseIntThrowsFormatException(" -00x12 "));
+    Expect.equals(true, parseIntThrowsFormatException("  -00x12 "));
+    Expect.equals(true, parseIntThrowsFormatException("0x0x12"));
+    Expect.equals(true, parseIntThrowsFormatException("0.1"));
+    Expect.equals(true, parseIntThrowsFormatException("0x3.1"));
+    Expect.equals(true, parseIntThrowsFormatException("5."));
+    Expect.equals(true, parseIntThrowsFormatException("+-5"));
+    Expect.equals(true, parseIntThrowsFormatException("-+5"));
+    Expect.equals(true, parseIntThrowsFormatException("--5"));
+    Expect.equals(true, parseIntThrowsFormatException("++5"));
+    Expect.equals(true, parseIntThrowsFormatException("+ 5"));
+    Expect.equals(true, parseIntThrowsFormatException("- 5"));
+    Expect.equals(true, parseIntThrowsFormatException(""));
+    Expect.equals(true, parseIntThrowsFormatException("  "));
+    Expect.equals(true, parseIntThrowsFormatException("+0x1234567890"));
+    Expect.equals(true, parseIntThrowsFormatException("   +0x1234567890   "));
+    Expect.equals(true, parseIntThrowsFormatException("+0x100"));
+    Expect.equals(true, parseIntThrowsFormatException("   +0x100   "));
+  }
+
+  static testMain() {
+    testConstants();
+    testSin();
+    testCos();
+    testTan();
+    testAsin();
+    testAcos();
+    testAtan();
+    testAtan2();
+    testSqrt();
+    testLog();
+    testExp();
+    testPow();
+    testParseInt();
+  }
+}
+
 main() {
   MathTest.testMain();
+  MathLibraryTest.testMain();
 }