// Copyright 2013 the V8 project authors. All rights reserved. // Redistribution and use in source and binary forms, with or without // modification, are permitted provided that the following conditions are // met: // // * Redistributions of source code must retain the above copyright // notice, this list of conditions and the following disclaimer. // * Redistributions in binary form must reproduce the above // copyright notice, this list of conditions and the following // disclaimer in the documentation and/or other materials provided // with the distribution. // * Neither the name of Google Inc. nor the names of its // contributors may be used to endorse or promote products derived // from this software without specific prior written permission. // // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT // OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, // SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT // LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, // DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY // THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT // (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. // Flags: --allow-natives-syntax [Math.log10, Math.log2].forEach( function(fun) { assertTrue(isNaN(fun(NaN))); assertTrue(isNaN(fun(fun))); assertTrue(isNaN(fun({ toString: function() { return NaN; } }))); assertTrue(isNaN(fun({ valueOf: function() { return -1; } }))); assertTrue(isNaN(fun({ valueOf: function() { return "abc"; } }))); assertTrue(isNaN(fun(-0.1))); assertTrue(isNaN(fun(-1))); assertEquals("-Infinity", String(fun(0))); assertEquals("-Infinity", String(fun(-0))); assertEquals(0, fun(1)); assertEquals("Infinity", String(fun(Infinity))); }); for (var i = -310; i <= 308; i += 0.5) { assertEquals(i, Math.log10(Math.pow(10, i))); // Square roots are tested below. if (i != -0.5 && i != 0.5) assertEquals(i, Math.log2(Math.pow(2, i))); } // Test denormals. assertEquals(-307.77759430519706, Math.log10(1.5 * Math.pow(2, -1023))); // Issue 4025. Remove delta once issue 4029 has been fixed. assertEqualsDelta(-9.643274665532873e-17, Math.log10(1-Number.EPSILON), 3e-32); // Test Math.log2(2^k) for -1074 <= k <= 1023. var n = -1074; // This loop covers n from -1074 to -1043 for (var lowbits = 1; lowbits <= 0x80000000; lowbits *= 2) { var x = %_ConstructDouble(0, lowbits); assertEquals(n, Math.log2(x)); n++; } // This loop covers n from -1042 to -1023 for (var hibits = 1; hibits <= 0x80000; hibits *= 2) { var x = %_ConstructDouble(hibits, 0); assertEquals(n, Math.log2(x)); n++; } // The rest of the normal values of 2^n var x = 1; for (var n = -1022; n <= 1023; ++n) { var x = Math.pow(2, n); assertEquals(n, Math.log2(x)); } // Test special values. // Expectation isn't exactly 1/2 because Math.SQRT2 isn't exactly sqrt(2). assertEquals(0.5000000000000001, Math.log2(Math.SQRT2)); // Expectation isn't exactly -1/2 because Math.SQRT1_2 isn't exactly sqrt(1/2). assertEquals(-0.4999999999999999, Math.log2(Math.SQRT1_2)); assertEquals(3.321928094887362, Math.log2(10)); assertEquals(6.643856189774724, Math.log2(100)); // Test relationships x = 1; for (var k = 0; k < 1000; ++k) { var y = Math.abs(Math.log2(x) + Math.log2(1/x)); assertEqualsDelta(0, y, 1.5e-14); x *= 1.1; } x = Math.pow(2, -100); for (var k = 0; k < 1000; ++k) { var y = Math.log2(x); var expected = Math.log(x) / Math.LN2; var err = Math.abs(y - expected) / expected; assertEqualsDelta(0, err, 1e-15); x *= 1.1; }