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v8/test/mjsunit/number-tostring.js
serya@chromium.org 9e76d99fb9 Percise rounding parsing octal and hexadecimal strings. 
Rounding happens when the number exceeds 53 bits of floating point mantissa. Current implemetation ignores digits after some limits. 0x1000000000000081 was rounded to 0x1000000000000100 while 0x100000000000008000001 was rounded to 0x100000000000000000000.

Review URL: http://codereview.chromium.org/1374005

git-svn-id: http://v8.googlecode.com/svn/branches/bleeding_edge@4309 ce2b1a6d-e550-0410-aec6-3dcde31c8c00
2010-03-29 15:46:58 +00:00

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JavaScript
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// Copyright 2008 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.
// ----------------------------------------------------------------------
// toString
assertEquals("NaN", (NaN).toString());
assertEquals("Infinity", (1/0).toString());
assertEquals("-Infinity", (-1/0).toString());
assertEquals("0", (0).toString());
assertEquals("9", (9).toString());
assertEquals("90", (90).toString());
assertEquals("90.12", (90.12).toString());
assertEquals("0.1", (0.1).toString());
assertEquals("0.01", (0.01).toString());
assertEquals("0.0123", (0.0123).toString());
assertEquals("111111111111111110000", (111111111111111111111).toString());
assertEquals("1.1111111111111111e+21", (1111111111111111111111).toString());
assertEquals("1.1111111111111111e+22", (11111111111111111111111).toString());
assertEquals("0.00001", (0.00001).toString());
assertEquals("0.000001", (0.000001).toString());
assertEquals("1e-7", (0.0000001).toString());
assertEquals("1.2e-7", (0.00000012).toString());
assertEquals("1.23e-7", (0.000000123).toString());
assertEquals("1e-8", (0.00000001).toString());
assertEquals("1.2e-8", (0.000000012).toString());
assertEquals("1.23e-8", (0.0000000123).toString());
assertEquals("0", (-0).toString());
assertEquals("-9", (-9).toString());
assertEquals("-90", (-90).toString());
assertEquals("-90.12", (-90.12).toString());
assertEquals("-0.1", (-0.1).toString());
assertEquals("-0.01", (-0.01).toString());
assertEquals("-0.0123", (-0.0123).toString())
assertEquals("-111111111111111110000", (-111111111111111111111).toString());
assertEquals("-1.1111111111111111e+21", (-1111111111111111111111).toString());
assertEquals("-1.1111111111111111e+22", (-11111111111111111111111).toString());
assertEquals("-0.00001", (-0.00001).toString());
assertEquals("-0.000001", (-0.000001).toString());
assertEquals("-1e-7", (-0.0000001).toString());
assertEquals("-1.2e-7", (-0.00000012).toString());
assertEquals("-1.23e-7", (-0.000000123).toString());
assertEquals("-1e-8", (-0.00000001).toString());
assertEquals("-1.2e-8", (-0.000000012).toString());
assertEquals("-1.23e-8", (-0.0000000123).toString());
assertEquals("NaN", (NaN).toString(16));
assertEquals("Infinity", (1/0).toString(16));
assertEquals("-Infinity", (-1/0).toString(16));
assertEquals("0", (0).toString(16));
assertEquals("9", (9).toString(16));
assertEquals("5a", (90).toString(16));
assertEquals("5a.1eb851eb852", (90.12).toString(16));
assertEquals("0.1999999999999a", (0.1).toString(16));
assertEquals("0.028f5c28f5c28f6", (0.01).toString(16));
assertEquals("0.032617c1bda511a", (0.0123).toString(16));
assertEquals("605f9f6dd18bc8000", (111111111111111111111).toString(16));
assertEquals("3c3bc3a4a2f75c0000", (1111111111111111111111).toString(16));
assertEquals("25a55a46e5da9a00000", (11111111111111111111111).toString(16));
assertEquals("0.0000a7c5ac471b4788", (0.00001).toString(16));
assertEquals("0.000010c6f7a0b5ed8d", (0.000001).toString(16));
assertEquals("0.000001ad7f29abcaf48", (0.0000001).toString(16));
assertEquals("0.000002036565348d256", (0.00000012).toString(16));
assertEquals("0.0000021047ee22aa466", (0.000000123).toString(16));
assertEquals("0.0000002af31dc4611874", (0.00000001).toString(16));
assertEquals("0.000000338a23b87483be", (0.000000012).toString(16));
assertEquals("0.00000034d3fe36aaa0a2", (0.0000000123).toString(16));
assertEquals("0", (-0).toString(16));
assertEquals("-9", (-9).toString(16));
assertEquals("-5a", (-90).toString(16));
assertEquals("-5a.1eb851eb852", (-90.12).toString(16));
assertEquals("-0.1999999999999a", (-0.1).toString(16));
assertEquals("-0.028f5c28f5c28f6", (-0.01).toString(16));
assertEquals("-0.032617c1bda511a", (-0.0123).toString(16));
assertEquals("-605f9f6dd18bc8000", (-111111111111111111111).toString(16));
assertEquals("-3c3bc3a4a2f75c0000", (-1111111111111111111111).toString(16));
assertEquals("-25a55a46e5da9a00000", (-11111111111111111111111).toString(16));
assertEquals("-0.0000a7c5ac471b4788", (-0.00001).toString(16));
assertEquals("-0.000010c6f7a0b5ed8d", (-0.000001).toString(16));
assertEquals("-0.000001ad7f29abcaf48", (-0.0000001).toString(16));
assertEquals("-0.000002036565348d256", (-0.00000012).toString(16));
assertEquals("-0.0000021047ee22aa466", (-0.000000123).toString(16));
assertEquals("-0.0000002af31dc4611874", (-0.00000001).toString(16));
assertEquals("-0.000000338a23b87483be", (-0.000000012).toString(16));
assertEquals("-0.00000034d3fe36aaa0a2", (-0.0000000123).toString(16));
assertEquals("4294967296", Math.pow(2,32).toString());
assertEquals("ffffffff", (Math.pow(2,32)-1).toString(16));
assertEquals("11111111111111111111111111111111", (Math.pow(2,32)-1).toString(2));
assertEquals("5yc1z", (10000007).toString(36));
assertEquals("0", (0).toString(36));
assertEquals("0", (0).toString(16));
assertEquals("0", (0).toString(10));
assertEquals("0", (0).toString(8));
assertEquals("0", (0).toString(2));
assertEquals("100000000000000000000000000000000", Math.pow(2,32).toString(2));
assertEquals("100000000000000000000000000000001", (Math.pow(2,32) + 1).toString(2));
assertEquals("100000000000080", (0x100000000000081).toString(16));
assertEquals("1000000000000100", (-(-'0x1000000000000081')).toString(16));
assertEquals("1000000000000000", (-(-'0x1000000000000080')).toString(16));
assertEquals("1000000000000000", (-(-'0x100000000000007F')).toString(16));
assertEquals("100000000000000000000000000000000000000000000000010000000", (0x100000000000081).toString(2));
assertEquals("-11111111111111111111111111111111", (-(Math.pow(2,32)-1)).toString(2));
assertEquals("-5yc1z", (-10000007).toString(36));
assertEquals("-100000000000000000000000000000000", (-Math.pow(2,32)).toString(2));
assertEquals("-100000000000000000000000000000001", (-(Math.pow(2,32) + 1)).toString(2));
assertEquals("-100000000000080", (-0x100000000000081).toString(16));
assertEquals("-100000000000000000000000000000000000000000000000010000000", (-0x100000000000081).toString(2));
assertEquals("1000", (1000).toString());
assertEquals("0.00001", (0.00001).toString());
assertEquals("1000000000000000100", (1000000000000000128).toString());
assertEquals("1e+21", (1000000000000000012800).toString());
assertEquals("-1e+21", (-1000000000000000012800).toString());
assertEquals("1e-7", (0.0000001).toString());
assertEquals("-1e-7", (-0.0000001).toString());
assertEquals("1.0000000000000001e+21", (1000000000000000128000).toString());
assertEquals("0.000001", (0.000001).toString());
assertEquals("1e-7", (0.0000001).toString());
assertEquals("8.8", (8.5).toString(16));
assertEquals("-8.8", (-8.5).toString(16));
// ----------------------------------------------------------------------
// toFixed
assertEquals("NaN", (NaN).toFixed(2));
assertEquals("Infinity", (1/0).toFixed(2));
assertEquals("-Infinity", (-1/0).toFixed(2));
assertEquals("1.1111111111111111e+21", (1111111111111111111111).toFixed(8));
assertEquals("0.1", (0.1).toFixed(1));
assertEquals("0.10", (0.1).toFixed(2));
assertEquals("0.100", (0.1).toFixed(3));
assertEquals("0.01", (0.01).toFixed(2));
assertEquals("0.010", (0.01).toFixed(3));
assertEquals("0.0100", (0.01).toFixed(4));
assertEquals("0.00", (0.001).toFixed(2));
assertEquals("0.001", (0.001).toFixed(3));
assertEquals("0.0010", (0.001).toFixed(4));
assertEquals("1.0000", (1).toFixed(4));
assertEquals("1.0", (1).toFixed(1));
assertEquals("1", (1).toFixed(0));
assertEquals("12", (12).toFixed(0));
assertEquals("1", (1.1).toFixed(0));
assertEquals("12", (12.1).toFixed(0));
assertEquals("1", (1.12).toFixed(0));
assertEquals("12", (12.12).toFixed(0));
assertEquals("0.0000006", (0.0000006).toFixed(7));
assertEquals("0.00000006", (0.00000006).toFixed(8));
assertEquals("0.000000060", (0.00000006).toFixed(9));
assertEquals("0.0000000600", (0.00000006).toFixed(10));
assertEquals("0", (0).toFixed(0));
assertEquals("0.0", (0).toFixed(1));
assertEquals("0.00", (0).toFixed(2));
assertEquals("-1.1111111111111111e+21", (-1111111111111111111111).toFixed(8));
assertEquals("-0.1", (-0.1).toFixed(1));
assertEquals("-0.10", (-0.1).toFixed(2));
assertEquals("-0.100", (-0.1).toFixed(3));
assertEquals("-0.01", (-0.01).toFixed(2));
assertEquals("-0.010", (-0.01).toFixed(3));
assertEquals("-0.0100", (-0.01).toFixed(4));
assertEquals("-0.00", (-0.001).toFixed(2));
assertEquals("-0.001", (-0.001).toFixed(3));
assertEquals("-0.0010", (-0.001).toFixed(4));
assertEquals("-1.0000", (-1).toFixed(4));
assertEquals("-1.0", (-1).toFixed(1));
assertEquals("-1", (-1).toFixed(0));
assertEquals("-1", (-1.1).toFixed(0));
assertEquals("-12", (-12.1).toFixed(0));
assertEquals("-1", (-1.12).toFixed(0));
assertEquals("-12", (-12.12).toFixed(0));
assertEquals("-0.0000006", (-0.0000006).toFixed(7));
assertEquals("-0.00000006", (-0.00000006).toFixed(8));
assertEquals("-0.000000060", (-0.00000006).toFixed(9));
assertEquals("-0.0000000600", (-0.00000006).toFixed(10));
assertEquals("0", (-0).toFixed(0));
assertEquals("0.0", (-0).toFixed(1));
assertEquals("0.00", (-0).toFixed(2));
assertEquals("1000", (1000).toFixed());
assertEquals("0", (0.00001).toFixed());
assertEquals("0.00001", (0.00001).toFixed(5));
assertEquals("0.00000000000000000010", (0.0000000000000000001).toFixed(20));
assertEquals("0.00001000000000000", (0.00001).toFixed(17));
assertEquals("1.00000000000000000", (1).toFixed(17));
assertEquals("1000000000000000128", (1000000000000000128).toFixed());
assertEquals("100000000000000128.0", (100000000000000128).toFixed(1));
assertEquals("10000000000000128.00", (10000000000000128).toFixed(2));
assertEquals("10000000000000128.00000000000000000000", (10000000000000128).toFixed(20));
assertEquals("0", (0).toFixed());
assertEquals("-42.000", ((-42).toFixed(3)));
assertEquals("-1000000000000000128", (-1000000000000000128).toFixed());
assertEquals("-0.00000000000000000010", (-0.0000000000000000001).toFixed(20));
assertEquals("0.12312312312312299889", (0.123123123123123).toFixed(20));
// Test that we round up even when the last digit generated is even.
// dtoa does not do this in its original form.
assertEquals("1", 0.5.toFixed(0), "0.5.toFixed(0)");
assertEquals("-1", -0.5.toFixed(0), "-0.5.toFixed(0)");
assertEquals("1.3", 1.25.toFixed(1), "1.25.toFixed(1)");
// This is bizare, but Spidermonkey and KJS behave the same.
assertEquals("234.2040", (234.20405).toFixed(4), "234.2040.toFixed(4)");
assertEquals("234.2041", (234.2040506).toFixed(4));
// ----------------------------------------------------------------------
// toExponential
assertEquals("1e+0", (1).toExponential());
assertEquals("1.1e+1", (11).toExponential());
assertEquals("1.12e+2", (112).toExponential());
assertEquals("1e+0", (1).toExponential(0));
assertEquals("1e+1", (11).toExponential(0));
assertEquals("1e+2", (112).toExponential(0));
assertEquals("1.0e+0", (1).toExponential(1));
assertEquals("1.1e+1", (11).toExponential(1));
assertEquals("1.1e+2", (112).toExponential(1));
assertEquals("1.00e+0", (1).toExponential(2));
assertEquals("1.10e+1", (11).toExponential(2));
assertEquals("1.12e+2", (112).toExponential(2));
assertEquals("1.000e+0", (1).toExponential(3));
assertEquals("1.100e+1", (11).toExponential(3));
assertEquals("1.120e+2", (112).toExponential(3));
assertEquals("1e-1", (0.1).toExponential());
assertEquals("1.1e-1", (0.11).toExponential());
assertEquals("1.12e-1", (0.112).toExponential());
assertEquals("1e-1", (0.1).toExponential(0));
assertEquals("1e-1", (0.11).toExponential(0));
assertEquals("1e-1", (0.112).toExponential(0));
assertEquals("1.0e-1", (0.1).toExponential(1));
assertEquals("1.1e-1", (0.11).toExponential(1));
assertEquals("1.1e-1", (0.112).toExponential(1));
assertEquals("1.00e-1", (0.1).toExponential(2));
assertEquals("1.10e-1", (0.11).toExponential(2));
assertEquals("1.12e-1", (0.112).toExponential(2));
assertEquals("1.000e-1", (0.1).toExponential(3));
assertEquals("1.100e-1", (0.11).toExponential(3));
assertEquals("1.120e-1", (0.112).toExponential(3));
assertEquals("-1e+0", (-1).toExponential());
assertEquals("-1.1e+1", (-11).toExponential());
assertEquals("-1.12e+2", (-112).toExponential());
assertEquals("-1e+0", (-1).toExponential(0));
assertEquals("-1e+1", (-11).toExponential(0));
assertEquals("-1e+2", (-112).toExponential(0));
assertEquals("-1.0e+0", (-1).toExponential(1));
assertEquals("-1.1e+1", (-11).toExponential(1));
assertEquals("-1.1e+2", (-112).toExponential(1));
assertEquals("-1.00e+0", (-1).toExponential(2));
assertEquals("-1.10e+1", (-11).toExponential(2));
assertEquals("-1.12e+2", (-112).toExponential(2));
assertEquals("-1.000e+0", (-1).toExponential(3));
assertEquals("-1.100e+1", (-11).toExponential(3));
assertEquals("-1.120e+2", (-112).toExponential(3));
assertEquals("-1e-1", (-0.1).toExponential());
assertEquals("-1.1e-1", (-0.11).toExponential());
assertEquals("-1.12e-1", (-0.112).toExponential());
assertEquals("-1e-1", (-0.1).toExponential(0));
assertEquals("-1e-1", (-0.11).toExponential(0));
assertEquals("-1e-1", (-0.112).toExponential(0));
assertEquals("-1.0e-1", (-0.1).toExponential(1));
assertEquals("-1.1e-1", (-0.11).toExponential(1));
assertEquals("-1.1e-1", (-0.112).toExponential(1));
assertEquals("-1.00e-1", (-0.1).toExponential(2));
assertEquals("-1.10e-1", (-0.11).toExponential(2));
assertEquals("-1.12e-1", (-0.112).toExponential(2));
assertEquals("-1.000e-1", (-0.1).toExponential(3));
assertEquals("-1.100e-1", (-0.11).toExponential(3));
assertEquals("-1.120e-1", (-0.112).toExponential(3));
assertEquals("NaN", (NaN).toExponential(2));
assertEquals("Infinity", (Infinity).toExponential(2));
assertEquals("-Infinity", (-Infinity).toExponential(2));
assertEquals("1e+0", (1).toExponential(0));
assertEquals("0e+0", (0).toExponential());
assertEquals("0.00e+0", (0).toExponential(2));
assertEquals("1e+1", (11.2356).toExponential(0));
assertEquals("1.1236e+1", (11.2356).toExponential(4));
assertEquals("1.1236e-4", (0.000112356).toExponential(4));
assertEquals("-1.1236e-4", (-0.000112356).toExponential(4));
assertEquals("1.12356e-4", (0.000112356).toExponential());
assertEquals("-1.12356e-4", (-0.000112356).toExponential());
// ----------------------------------------------------------------------
// toPrecision
assertEquals("NaN", (NaN).toPrecision(1));
assertEquals("Infinity", (Infinity).toPrecision(2));
assertEquals("-Infinity", (-Infinity).toPrecision(2));
assertEquals("0.000555000000000000", (0.000555).toPrecision(15));
assertEquals("5.55000000000000e-7", (0.000000555).toPrecision(15));
assertEquals("-5.55000000000000e-7", (-0.000000555).toPrecision(15));
assertEquals("1e+8", (123456789).toPrecision(1));
assertEquals("123456789", (123456789).toPrecision(9));
assertEquals("1.2345679e+8", (123456789).toPrecision(8));
assertEquals("1.234568e+8", (123456789).toPrecision(7));
assertEquals("-1.234568e+8", (-123456789).toPrecision(7));
assertEquals("-1.2e-9", Number(-.0000000012345).toPrecision(2));
assertEquals("-1.2e-8", Number(-.000000012345).toPrecision(2));
assertEquals("-1.2e-7", Number(-.00000012345).toPrecision(2));
assertEquals("-0.0000012", Number(-.0000012345).toPrecision(2));
assertEquals("-0.000012", Number(-.000012345).toPrecision(2));
assertEquals("-0.00012", Number(-.00012345).toPrecision(2));
assertEquals("-0.0012", Number(-.0012345).toPrecision(2));
assertEquals("-0.012", Number(-.012345).toPrecision(2));
assertEquals("-0.12", Number(-.12345).toPrecision(2));
assertEquals("-1.2", Number(-1.2345).toPrecision(2));
assertEquals("-12", Number(-12.345).toPrecision(2));
assertEquals("-1.2e+2", Number(-123.45).toPrecision(2));
assertEquals("-1.2e+3", Number(-1234.5).toPrecision(2));
assertEquals("-1.2e+4", Number(-12345).toPrecision(2));
assertEquals("-1.235e+4", Number(-12345.67).toPrecision(4));
assertEquals("-1.234e+4", Number(-12344.67).toPrecision(4));
// Test that we round up even when the last digit generated is even.
// dtoa does not do this in its original form.
assertEquals("1.3", 1.25.toPrecision(2), "1.25.toPrecision(2)");
assertEquals("1.4", 1.35.toPrecision(2), "1.35.toPrecision(2)");
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