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| author | Daniel Baumann <daniel.baumann@progress-linux.org> | 2024-04-07 17:32:43 +0000 |
|---|---|---|
| committer | Daniel Baumann <daniel.baumann@progress-linux.org> | 2024-04-07 17:32:43 +0000 |
| commit | 6bf0a5cb5034a7e684dcc3500e841785237ce2dd (patch) | |
| tree | a68f146d7fa01f0134297619fbe7e33db084e0aa /js/src/tests/non262/Math | |
| parent | Initial commit. (diff) | |
| download | thunderbird-6bf0a5cb5034a7e684dcc3500e841785237ce2dd.tar.xz thunderbird-6bf0a5cb5034a7e684dcc3500e841785237ce2dd.zip | |
Adding upstream version 1:115.7.0.upstream/1%115.7.0upstream
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
Diffstat (limited to 'js/src/tests/non262/Math')
45 files changed, 5090 insertions, 0 deletions
diff --git a/js/src/tests/non262/Math/15.8.1.js b/js/src/tests/non262/Math/15.8.1.js new file mode 100644 index 0000000000..269b602e5d --- /dev/null +++ b/js/src/tests/non262/Math/15.8.1.js @@ -0,0 +1,97 @@ +/* -*- tab-width: 2; indent-tabs-mode: nil; js-indent-level: 2 -*- */ +/* This Source Code Form is subject to the terms of the Mozilla Public + * License, v. 2.0. If a copy of the MPL was not distributed with this + * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ + + +/** + File Name: 15.8.1.js + ECMA Section: 15.8.1.js Value Properties of the Math Object + 15.8.1.1 E + 15.8.1.2 LN10 + 15.8.1.3 LN2 + 15.8.1.4 LOG2E + 15.8.1.5 LOG10E + 15.8.1.6 PI + 15.8.1.7 SQRT1_2 + 15.8.1.8 SQRT2 + Description: verify the values of some math constants + Author: christine@netscape.com + Date: 7 july 1997 + +*/ +var SECTION = "15.8.1" + var TITLE = "Value Properties of the Math Object"; + +writeHeaderToLog( SECTION + " "+ TITLE); + + +new TestCase( "Math.E", + 2.7182818284590452354, + Math.E ); + +new TestCase( "typeof Math.E", + "number", + typeof Math.E ); + +new TestCase( "Math.LN10", + 2.302585092994046, + Math.LN10 ); + +new TestCase( "typeof Math.LN10", + "number", + typeof Math.LN10 ); + +new TestCase( "Math.LN2", + 0.6931471805599453, + Math.LN2 ); + +new TestCase( "typeof Math.LN2", + "number", + typeof Math.LN2 ); + +new TestCase( "Math.LOG2E", + 1.4426950408889634, + Math.LOG2E ); + +new TestCase( "typeof Math.LOG2E", + "number", + typeof Math.LOG2E ); + +new TestCase( "Math.LOG10E", + 0.4342944819032518, + Math.LOG10E); + +new TestCase( "typeof Math.LOG10E", + "number", + typeof Math.LOG10E); + +new TestCase( "Math.PI", + 3.14159265358979323846, + Math.PI ); + +new TestCase( "typeof Math.PI", + "number", + typeof Math.PI ); + +new TestCase( "Math.SQRT1_2", + 0.7071067811865476, + Math.SQRT1_2); + +new TestCase( "typeof Math.SQRT1_2", + "number", + typeof Math.SQRT1_2); + +new TestCase( "Math.SQRT2", + 1.4142135623730951, + Math.SQRT2 ); + +new TestCase( "typeof Math.SQRT2", + "number", + typeof Math.SQRT2 ); + +new TestCase( "var MATHPROPS='';for( p in Math ){ MATHPROPS +=p; };MATHPROPS", + "", + eval("var MATHPROPS='';for( p in Math ){ MATHPROPS +=p; };MATHPROPS") ); + +test(); diff --git a/js/src/tests/non262/Math/15.8.2.13.js b/js/src/tests/non262/Math/15.8.2.13.js new file mode 100644 index 0000000000..10eeca88ab --- /dev/null +++ b/js/src/tests/non262/Math/15.8.2.13.js @@ -0,0 +1,350 @@ +/* -*- tab-width: 2; indent-tabs-mode: nil; js-indent-level: 2 -*- */ +/* This Source Code Form is subject to the terms of the Mozilla Public + * License, v. 2.0. If a copy of the MPL was not distributed with this + * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ + + +/** + File Name: 15.8.2.13.js + ECMA Section: 15.8.2.13 Math.pow(x, y) + Description: return an approximation to the result of x + to the power of y. there are many special cases; + refer to the spec. + Author: christine@netscape.com + Date: 9 july 1997 +*/ + +var SECTION = "15.8.2.13"; +var TITLE = "Math.pow(x, y)"; +var BUGNUMBER="77141"; + +printBugNumber(BUGNUMBER); + +writeHeaderToLog( SECTION + " "+ TITLE); + +new TestCase( + "Math.pow.length", + 2, + Math.pow.length ); + +new TestCase( + "Math.pow()", + Number.NaN, + Math.pow() ); + +new TestCase( + "Math.pow(null, null)", + 1, + Math.pow(null,null) ); + +new TestCase( + "Math.pow(void 0, void 0)", + Number.NaN, + Math.pow(void 0, void 0)); + +new TestCase( + "Math.pow(true, false)", + 1, + Math.pow(true, false) ); + +new TestCase( + "Math.pow(false,true)", + 0, + Math.pow(false,true) ); + +new TestCase( + "Math.pow('2','32')", + 4294967296, + Math.pow('2','32') ); + +new TestCase( + "Math.pow(1,NaN)", + Number.NaN, + Math.pow(1,Number.NaN) ); + +new TestCase( + "Math.pow(0,NaN)", + Number.NaN, + Math.pow(0,Number.NaN) ); + +new TestCase( + "Math.pow(NaN,0)", + 1, + Math.pow(Number.NaN,0) ); + +new TestCase( + "Math.pow(NaN,-0)", + 1, + Math.pow(Number.NaN,-0) ); + +new TestCase( + "Math.pow(NaN,1)", + Number.NaN, + Math.pow(Number.NaN, 1) ); + +new TestCase( + "Math.pow(NaN,.5)", + Number.NaN, + Math.pow(Number.NaN, .5) ); + +new TestCase( + "Math.pow(1.00000001, Infinity)", + Number.POSITIVE_INFINITY, + Math.pow(1.00000001, Number.POSITIVE_INFINITY) ); + +new TestCase( + "Math.pow(1.00000001, -Infinity)", + 0, + Math.pow(1.00000001, Number.NEGATIVE_INFINITY) ); + +new TestCase( + "Math.pow(-1.00000001, Infinity)", + Number.POSITIVE_INFINITY, + Math.pow(-1.00000001,Number.POSITIVE_INFINITY) ); + +new TestCase( + "Math.pow(-1.00000001, -Infinity)", + 0, + Math.pow(-1.00000001,Number.NEGATIVE_INFINITY) ); + +new TestCase( + "Math.pow(1, Infinity)", + Number.NaN, + Math.pow(1, Number.POSITIVE_INFINITY) ); + +new TestCase( + "Math.pow(1, -Infinity)", + Number.NaN, + Math.pow(1, Number.NEGATIVE_INFINITY) ); + +new TestCase( + "Math.pow(-1, Infinity)", + Number.NaN, + Math.pow(-1, Number.POSITIVE_INFINITY) ); + +new TestCase( + "Math.pow(-1, -Infinity)", + Number.NaN, + Math.pow(-1, Number.NEGATIVE_INFINITY) ); + +new TestCase( + "Math.pow(.0000000009, Infinity)", + 0, + Math.pow(.0000000009, Number.POSITIVE_INFINITY) ); + +new TestCase( + "Math.pow(-.0000000009, Infinity)", + 0, + Math.pow(-.0000000009, Number.POSITIVE_INFINITY) ); + +new TestCase( + "Math.pow(.0000000009, -Infinity)", + Number.POSITIVE_INFINITY, + Math.pow(-.0000000009, Number.NEGATIVE_INFINITY) ); + +new TestCase( + "Math.pow(Infinity, .00000000001)", + Number.POSITIVE_INFINITY, + Math.pow(Number.POSITIVE_INFINITY,.00000000001) ); + +new TestCase( + "Math.pow(Infinity, 1)", + Number.POSITIVE_INFINITY, + Math.pow(Number.POSITIVE_INFINITY, 1) ); + +new TestCase( + "Math.pow(Infinity, -.00000000001)", + 0, + Math.pow(Number.POSITIVE_INFINITY, -.00000000001) ); + +new TestCase( + "Math.pow(Infinity, -1)", + 0, + Math.pow(Number.POSITIVE_INFINITY, -1) ); + +new TestCase( + "Math.pow(-Infinity, 1)", + Number.NEGATIVE_INFINITY, + Math.pow(Number.NEGATIVE_INFINITY, 1) ); + +new TestCase( + "Math.pow(-Infinity, 333)", + Number.NEGATIVE_INFINITY, + Math.pow(Number.NEGATIVE_INFINITY, 333) ); + +new TestCase( + "Math.pow(Infinity, 2)", + Number.POSITIVE_INFINITY, + Math.pow(Number.POSITIVE_INFINITY, 2) ); + +new TestCase( + "Math.pow(-Infinity, 666)", + Number.POSITIVE_INFINITY, + Math.pow(Number.NEGATIVE_INFINITY, 666) ); + +new TestCase( + "Math.pow(-Infinity, 0.5)", + Number.POSITIVE_INFINITY, + Math.pow(Number.NEGATIVE_INFINITY, 0.5) ); + +new TestCase( + "Math.pow(-Infinity, Infinity)", + Number.POSITIVE_INFINITY, + Math.pow(Number.NEGATIVE_INFINITY, Number.POSITIVE_INFINITY) ); + +new TestCase( + "Math.pow(-Infinity, -1)", + -0, + Math.pow(Number.NEGATIVE_INFINITY, -1) ); + +new TestCase( + "Infinity/Math.pow(-Infinity, -1)", + -Infinity, + Infinity/Math.pow(Number.NEGATIVE_INFINITY, -1) ); + +new TestCase( + "Math.pow(-Infinity, -3)", + -0, + Math.pow(Number.NEGATIVE_INFINITY, -3) ); + +new TestCase( + "Math.pow(-Infinity, -2)", + 0, + Math.pow(Number.NEGATIVE_INFINITY, -2) ); + +new TestCase( + "Math.pow(-Infinity, -0.5)", + 0, + Math.pow(Number.NEGATIVE_INFINITY,-0.5) ); + +new TestCase( + "Math.pow(-Infinity, -Infinity)", + 0, + Math.pow(Number.NEGATIVE_INFINITY, Number.NEGATIVE_INFINITY) ); + +new TestCase( + "Math.pow(0, 1)", + 0, + Math.pow(0,1) ); + +new TestCase( + "Math.pow(0, 0)", + 1, + Math.pow(0,0) ); + +new TestCase( + "Math.pow(1, 0)", + 1, + Math.pow(1,0) ); + +new TestCase( + "Math.pow(-1, 0)", + 1, + Math.pow(-1,0) ); + +new TestCase( + "Math.pow(0, 0.5)", + 0, + Math.pow(0,0.5) ); + +new TestCase( + "Math.pow(0, 1000)", + 0, + Math.pow(0,1000) ); + +new TestCase( + "Math.pow(0, Infinity)", + 0, + Math.pow(0, Number.POSITIVE_INFINITY) ); + +new TestCase( + "Math.pow(0, -1)", + Number.POSITIVE_INFINITY, + Math.pow(0, -1) ); + +new TestCase( + "Math.pow(0, -0.5)", + Number.POSITIVE_INFINITY, + Math.pow(0, -0.5) ); + +new TestCase( + "Math.pow(0, -1000)", + Number.POSITIVE_INFINITY, + Math.pow(0, -1000) ); + +new TestCase( + "Math.pow(0, -Infinity)", + Number.POSITIVE_INFINITY, + Math.pow(0, Number.NEGATIVE_INFINITY) ); + +new TestCase( + "Math.pow(-0, 1)", + -0, + Math.pow(-0, 1) ); + +new TestCase( + "Math.pow(-0, 3)", + -0, + Math.pow(-0,3) ); + +new TestCase( + "Infinity/Math.pow(-0, 1)", + -Infinity, + Infinity/Math.pow(-0, 1) ); + +new TestCase( + "Infinity/Math.pow(-0, 3)", + -Infinity, + Infinity/Math.pow(-0,3) ); + +new TestCase( + "Math.pow(-0, 2)", + 0, + Math.pow(-0,2) ); + +new TestCase( + "Math.pow(-0, Infinity)", + 0, + Math.pow(-0, Number.POSITIVE_INFINITY) ); + +new TestCase( + "Math.pow(-0, -1)", + Number.NEGATIVE_INFINITY, + Math.pow(-0, -1) ); + +new TestCase( + "Math.pow(-0, -10001)", + Number.NEGATIVE_INFINITY, + Math.pow(-0, -10001) ); + +new TestCase( + "Math.pow(-0, -2)", + Number.POSITIVE_INFINITY, + Math.pow(-0, -2) ); + +new TestCase( + "Math.pow(-0, 0.5)", + 0, + Math.pow(-0, 0.5) ); + +new TestCase( + "Math.pow(-0, Infinity)", + 0, + Math.pow(-0, Number.POSITIVE_INFINITY) ); + +new TestCase( + "Math.pow(-1, 0.5)", + Number.NaN, + Math.pow(-1, 0.5) ); + +new TestCase( + "Math.pow(-1, NaN)", + Number.NaN, + Math.pow(-1, Number.NaN) ); + +new TestCase( + "Math.pow(-1, -0.5)", + Number.NaN, + Math.pow(-1, -0.5) ); + +test(); diff --git a/js/src/tests/non262/Math/15.8.2.16.js b/js/src/tests/non262/Math/15.8.2.16.js new file mode 100644 index 0000000000..1ad66d4e30 --- /dev/null +++ b/js/src/tests/non262/Math/15.8.2.16.js @@ -0,0 +1,96 @@ +/* -*- tab-width: 2; indent-tabs-mode: nil; js-indent-level: 2 -*- */ +/* This Source Code Form is subject to the terms of the Mozilla Public + * License, v. 2.0. If a copy of the MPL was not distributed with this + * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ + + +/** + File Name: 15.8.2.16.js + ECMA Section: 15.8.2.16 sin( x ) + Description: return an approximation to the sine of the + argument. argument is expressed in radians + Author: christine@netscape.com + Date: 7 july 1997 + +*/ +var SECTION = "15.8.2.16"; +var TITLE = "Math.sin(x)"; + +writeHeaderToLog( SECTION + " "+ TITLE); + +new TestCase( + "Math.sin.length", + 1, + Math.sin.length ); + +new TestCase( + "Math.sin()", + Number.NaN, + Math.sin() ); + +new TestCase( + "Math.sin(null)", + 0, + Math.sin(null) ); + +new TestCase( + "Math.sin(void 0)", + Number.NaN, + Math.sin(void 0) ); + +new TestCase( + "Math.sin(false)", + 0, + Math.sin(false) ); + +new TestCase( + "Math.sin('2.356194490192')", + 0.7071067811865, + Math.sin('2.356194490192') ); + +new TestCase( + "Math.sin(NaN)", + Number.NaN, + Math.sin(Number.NaN) ); + +new TestCase( + "Math.sin(0)", + 0, + Math.sin(0) ); + +new TestCase( + "Math.sin(-0)", + -0, + Math.sin(-0)); + +new TestCase( + "Math.sin(Infinity)", + Number.NaN, + Math.sin(Number.POSITIVE_INFINITY)); + +new TestCase( + "Math.sin(-Infinity)", + Number.NaN, + Math.sin(Number.NEGATIVE_INFINITY)); + +new TestCase( + "Math.sin(0.7853981633974)", + 0.7071067811865, + Math.sin(0.7853981633974)); + +new TestCase( + "Math.sin(1.570796326795)", + 1, + Math.sin(1.570796326795)); + +new TestCase( + "Math.sin(2.356194490192)", + 0.7071067811865, + Math.sin(2.356194490192)); + +new TestCase( + "Math.sin(3.14159265359)", + 0, + Math.sin(3.14159265359)); + +test(); diff --git a/js/src/tests/non262/Math/15.8.2.17.js b/js/src/tests/non262/Math/15.8.2.17.js new file mode 100644 index 0000000000..18b4a0a281 --- /dev/null +++ b/js/src/tests/non262/Math/15.8.2.17.js @@ -0,0 +1,181 @@ +/* -*- tab-width: 2; indent-tabs-mode: nil; js-indent-level: 2 -*- */ +/* This Source Code Form is subject to the terms of the Mozilla Public + * License, v. 2.0. If a copy of the MPL was not distributed with this + * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ + + +/** + File Name: 15.8.2.17.js + ECMA Section: 15.8.2.17 Math.sqrt(x) + Description: return an approximation to the squareroot of the argument. + special cases: + - if x is NaN return NaN + - if x < 0 return NaN + - if x == 0 return 0 + - if x == -0 return -0 + - if x == Infinity return Infinity + Author: christine@netscape.com + Date: 7 july 1997 +*/ + +var SECTION = "15.8.2.17"; +var TITLE = "Math.sqrt(x)"; + +writeHeaderToLog( SECTION + " "+ TITLE); + +new TestCase( + "Math.sqrt.length", + 1, + Math.sqrt.length ); + +new TestCase( + "Math.sqrt()", + Number.NaN, + Math.sqrt() ); + +new TestCase( + "Math.sqrt(void 0)", + Number.NaN, + Math.sqrt(void 0) ); + +new TestCase( + "Math.sqrt(null)", + 0, + Math.sqrt(null) ); + +new TestCase( + "Math.sqrt(true)", + 1, + Math.sqrt(1) ); + +new TestCase( + "Math.sqrt(false)", + 0, + Math.sqrt(false) ); + +new TestCase( + "Math.sqrt('225')", + 15, + Math.sqrt('225') ); + +new TestCase( + "Math.sqrt(NaN)", + Number.NaN, + Math.sqrt(Number.NaN) ); + +new TestCase( + "Math.sqrt(-Infinity)", + Number.NaN, + Math.sqrt(Number.NEGATIVE_INFINITY)); + +new TestCase( + "Math.sqrt(-1)", + Number.NaN, + Math.sqrt(-1)); + +new TestCase( + "Math.sqrt(-0.5)", + Number.NaN, + Math.sqrt(-0.5)); + +new TestCase( + "Math.sqrt(0)", + 0, + Math.sqrt(0)); + +new TestCase( + "Math.sqrt(-0)", + -0, + Math.sqrt(-0)); + +new TestCase( + "Infinity/Math.sqrt(-0)", + -Infinity, + Infinity/Math.sqrt(-0) ); + +new TestCase( + "Math.sqrt(Infinity)", + Number.POSITIVE_INFINITY, + Math.sqrt(Number.POSITIVE_INFINITY)); + +new TestCase( + "Math.sqrt(1)", + 1, + Math.sqrt(1)); + +new TestCase( + "Math.sqrt(2)", + Math.SQRT2, + Math.sqrt(2)); + +new TestCase( + "Math.sqrt(0.5)", + Math.SQRT1_2, + Math.sqrt(0.5)); + +new TestCase( + "Math.sqrt(4)", + 2, + Math.sqrt(4)); + +new TestCase( + "Math.sqrt(9)", + 3, + Math.sqrt(9)); + +new TestCase( + "Math.sqrt(16)", + 4, + Math.sqrt(16)); + +new TestCase( + "Math.sqrt(25)", + 5, + Math.sqrt(25)); + +new TestCase( + "Math.sqrt(36)", + 6, + Math.sqrt(36)); + +new TestCase( + "Math.sqrt(49)", + 7, + Math.sqrt(49)); + +new TestCase( + "Math.sqrt(64)", + 8, + Math.sqrt(64)); + +new TestCase( + "Math.sqrt(256)", + 16, + Math.sqrt(256)); + +new TestCase( + "Math.sqrt(10000)", + 100, + Math.sqrt(10000)); + +new TestCase( + "Math.sqrt(65536)", + 256, + Math.sqrt(65536)); + +new TestCase( + "Math.sqrt(0.09)", + 0.3, + Math.sqrt(0.09)); + +new TestCase( + "Math.sqrt(0.01)", + 0.1, + Math.sqrt(0.01)); + +new TestCase( + "Math.sqrt(0.00000001)", + 0.0001, + Math.sqrt(0.00000001)); + +test(); diff --git a/js/src/tests/non262/Math/15.8.2.18.js b/js/src/tests/non262/Math/15.8.2.18.js new file mode 100644 index 0000000000..574ec18b99 --- /dev/null +++ b/js/src/tests/non262/Math/15.8.2.18.js @@ -0,0 +1,111 @@ +/* -*- tab-width: 2; indent-tabs-mode: nil; js-indent-level: 2 -*- */ +/* This Source Code Form is subject to the terms of the Mozilla Public + * License, v. 2.0. If a copy of the MPL was not distributed with this + * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ + + +/** + File Name: 15.8.2.18.js + ECMA Section: 15.8.2.18 tan( x ) + Description: return an approximation to the tan of the + argument. argument is expressed in radians + special cases: + - if x is NaN result is NaN + - if x is 0 result is 0 + - if x is -0 result is -0 + - if x is Infinity or -Infinity result is NaN + Author: christine@netscape.com + Date: 7 july 1997 +*/ + +var SECTION = "15.8.2.18"; +var TITLE = "Math.tan(x)"; +var EXCLUDE = "true"; + +writeHeaderToLog( SECTION + " "+ TITLE); + +new TestCase( "Math.tan.length", + 1, + Math.tan.length ); + +new TestCase( "Math.tan()", + Number.NaN, + Math.tan() ); + +new TestCase( "Math.tan(void 0)", + Number.NaN, + Math.tan(void 0)); + +new TestCase( "Math.tan(null)", + 0, + Math.tan(null) ); + +new TestCase( "Math.tan(false)", + 0, + Math.tan(false) ); + +new TestCase( "Math.tan(NaN)", + Number.NaN, + Math.tan(Number.NaN) ); + +new TestCase( "Math.tan(0)", + 0, + Math.tan(0)); + +new TestCase( "Math.tan(-0)", + -0, + Math.tan(-0)); + +new TestCase( "Math.tan(Infinity)", + Number.NaN, + Math.tan(Number.POSITIVE_INFINITY)); + +new TestCase( "Math.tan(-Infinity)", + Number.NaN, + Math.tan(Number.NEGATIVE_INFINITY)); + +new TestCase( "Math.tan(Math.PI/4)", + 1, + Math.tan(Math.PI/4)); + +new TestCase( "Math.tan(3*Math.PI/4)", + -1, + Math.tan(3*Math.PI/4)); + +new TestCase( "Math.tan(Math.PI)", + -0, + Math.tan(Math.PI)); + +new TestCase( "Math.tan(5*Math.PI/4)", + 1, + Math.tan(5*Math.PI/4)); + +new TestCase( "Math.tan(7*Math.PI/4)", + -1, + Math.tan(7*Math.PI/4)); + +new TestCase( "Infinity/Math.tan(-0)", + -Infinity, + Infinity/Math.tan(-0) ); + +/* + Arctan (x) ~ PI/2 - 1/x for large x. For x = 1.6x10^16, 1/x is about the last binary digit of double precision PI/2. + That is to say, perturbing PI/2 by this much is about the smallest rounding error possible. + + This suggests that the answer Christine is getting and a real Infinity are "adjacent" results from the tangent function. I + suspect that tan (PI/2 + one ulp) is a negative result about the same size as tan (PI/2) and that this pair are the closest + results to infinity that the algorithm can deliver. + + In any case, my call is that the answer we're seeing is "right". I suggest the test pass on any result this size or larger. + = C = +*/ + +new TestCase( "Math.tan(3*Math.PI/2) >= 5443000000000000", + true, + Math.tan(3*Math.PI/2) >= 5443000000000000 ); + +new TestCase( "Math.tan(Math.PI/2) >= 5443000000000000", + true, + Math.tan(Math.PI/2) >= 5443000000000000 ); + +test(); diff --git a/js/src/tests/non262/Math/15.8.2.2.js b/js/src/tests/non262/Math/15.8.2.2.js new file mode 100644 index 0000000000..fef32b9e41 --- /dev/null +++ b/js/src/tests/non262/Math/15.8.2.2.js @@ -0,0 +1,120 @@ +/* -*- tab-width: 2; indent-tabs-mode: nil; js-indent-level: 2 -*- */ +/* This Source Code Form is subject to the terms of the Mozilla Public + * License, v. 2.0. If a copy of the MPL was not distributed with this + * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ + + +/** + File Name: 15.8.2.2.js + ECMA Section: 15.8.2.2 acos( x ) + Description: return an approximation to the arc cosine of the + argument. the result is expressed in radians and + range is from +0 to +PI. special cases: + - if x is NaN, return NaN + - if x > 1, the result is NaN + - if x < -1, the result is NaN + - if x == 1, the result is +0 + Author: christine@netscape.com + Date: 7 july 1997 +*/ +var SECTION = "15.8.2.2"; +var TITLE = "Math.acos()"; + +writeHeaderToLog( SECTION + " "+ TITLE); + +new TestCase( + "Math.acos.length", + 1, + Math.acos.length ); + +new TestCase( + "Math.acos(void 0)", + Number.NaN, + Math.acos(void 0) ); + +new TestCase( + "Math.acos()", + Number.NaN, + Math.acos() ); + +new TestCase( + "Math.acos(null)", + Math.PI/2, + Math.acos(null) ); + +new TestCase( + "Math.acos(NaN)", + Number.NaN, + Math.acos(Number.NaN) ); + +new TestCase( + "Math.acos(a string)", + Number.NaN, + Math.acos("a string") ); + +new TestCase( + "Math.acos('0')", + Math.PI/2, + Math.acos('0') ); + +new TestCase( + "Math.acos('1')", + 0, + Math.acos('1') ); + +new TestCase( + "Math.acos('-1')", + Math.PI, + Math.acos('-1') ); + +new TestCase( + "Math.acos(1.00000001)", + Number.NaN, + Math.acos(1.00000001) ); + +new TestCase( + "Math.acos(11.00000001)", + Number.NaN, + Math.acos(-1.00000001) ); + +new TestCase( + "Math.acos(1)", + 0, + Math.acos(1) ); + +new TestCase( + "Math.acos(-1)", + Math.PI, + Math.acos(-1) ); + +new TestCase( + "Math.acos(0)", + Math.PI/2, + Math.acos(0) ); + +new TestCase( + "Math.acos(-0)", + Math.PI/2, + Math.acos(-0) ); + +new TestCase( + "Math.acos(Math.SQRT1_2)", + Math.PI/4, + Math.acos(Math.SQRT1_2)); + +new TestCase( + "Math.acos(-Math.SQRT1_2)", + Math.PI/4*3, + Math.acos(-Math.SQRT1_2)); + +new TestCase( + "Math.acos(0.9999619230642)", + Math.PI/360, + Math.acos(0.9999619230642)); + +new TestCase( + "Math.acos(-3.0)", + Number.NaN, + Math.acos(-3.0)); + +test(); diff --git a/js/src/tests/non262/Math/15.8.2.3.js b/js/src/tests/non262/Math/15.8.2.3.js new file mode 100644 index 0000000000..750f22bb60 --- /dev/null +++ b/js/src/tests/non262/Math/15.8.2.3.js @@ -0,0 +1,122 @@ +/* -*- tab-width: 2; indent-tabs-mode: nil; js-indent-level: 2 -*- */ +/* This Source Code Form is subject to the terms of the Mozilla Public + * License, v. 2.0. If a copy of the MPL was not distributed with this + * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ + + +/** + File Name: 15.8.2.3.js + ECMA Section: 15.8.2.3 asin( x ) + Description: return an approximation to the arc sine of the + argument. the result is expressed in radians and + range is from -PI/2 to +PI/2. special cases: + - if x is NaN, the result is NaN + - if x > 1, the result is NaN + - if x < -1, the result is NaN + - if x == +0, the result is +0 + - if x == -0, the result is -0 + Author: christine@netscape.com + Date: 7 july 1997 + +*/ +var SECTION = "15.8.2.3"; +var TITLE = "Math.asin()"; + +writeHeaderToLog( SECTION + " "+ TITLE); + +new TestCase( + "Math.asin()", + Number.NaN, + Math.asin() ); + +new TestCase( + "Math.asin(void 0)", + Number.NaN, + Math.asin(void 0) ); + +new TestCase( + "Math.asin(null)", + 0, + Math.asin(null) ); + +new TestCase( + "Math.asin(NaN)", + Number.NaN, + Math.asin(Number.NaN) ); + +new TestCase( + "Math.asin('string')", + Number.NaN, + Math.asin("string") ); + +new TestCase( + "Math.asin('0')", + 0, + Math.asin("0") ); + +new TestCase( + "Math.asin('1')", + Math.PI/2, + Math.asin("1") ); + +new TestCase( + "Math.asin('-1')", + -Math.PI/2, + Math.asin("-1") ); + +new TestCase( + "Math.asin(Math.SQRT1_2+'')", + Math.PI/4, + Math.asin(Math.SQRT1_2+'') ); + +new TestCase( + "Math.asin(-Math.SQRT1_2+'')", + -Math.PI/4, + Math.asin(-Math.SQRT1_2+'') ); + +new TestCase( + "Math.asin(1.000001)", + Number.NaN, + Math.asin(1.000001) ); + +new TestCase( + "Math.asin(-1.000001)", + Number.NaN, + Math.asin(-1.000001) ); + +new TestCase( + "Math.asin(0)", + 0, + Math.asin(0) ); + +new TestCase( + "Math.asin(-0)", + -0, + Math.asin(-0) ); + +new TestCase( + "Infinity/Math.asin(-0)", + -Infinity, + Infinity/Math.asin(-0) ); + +new TestCase( + "Math.asin(1)", + Math.PI/2, + Math.asin(1) ); + +new TestCase( + "Math.asin(-1)", + -Math.PI/2, + Math.asin(-1) ); + +new TestCase( + "Math.asin(Math.SQRT1_2))", + Math.PI/4, + Math.asin(Math.SQRT1_2) ); + +new TestCase( + "Math.asin(-Math.SQRT1_2))", + -Math.PI/4, + Math.asin(-Math.SQRT1_2)); + +test(); diff --git a/js/src/tests/non262/Math/15.8.2.4.js b/js/src/tests/non262/Math/15.8.2.4.js new file mode 100644 index 0000000000..ee957aa93e --- /dev/null +++ b/js/src/tests/non262/Math/15.8.2.4.js @@ -0,0 +1,121 @@ +/* -*- tab-width: 2; indent-tabs-mode: nil; js-indent-level: 2 -*- */ +/* This Source Code Form is subject to the terms of the Mozilla Public + * License, v. 2.0. If a copy of the MPL was not distributed with this + * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ + + +/** + File Name: 15.8.2.4.js + ECMA Section: 15.8.2.4 atan( x ) + Description: return an approximation to the arc tangent of the + argument. the result is expressed in radians and + range is from -PI/2 to +PI/2. special cases: + - if x is NaN, the result is NaN + - if x == +0, the result is +0 + - if x == -0, the result is -0 + - if x == +Infinity, the result is approximately +PI/2 + - if x == -Infinity, the result is approximately -PI/2 + Author: christine@netscape.com + Date: 7 july 1997 + +*/ + +var SECTION = "15.8.2.4"; +var TITLE = "Math.atan()"; +var BUGNUMBER="77391"; + +printBugNumber(BUGNUMBER); + +writeHeaderToLog( SECTION + " "+ TITLE); + +new TestCase( + "Math.atan.length", + 1, + Math.atan.length ); + +new TestCase( + "Math.atan()", + Number.NaN, + Math.atan() ); + +new TestCase( + "Math.atan(void 0)", + Number.NaN, + Math.atan(void 0) ); + +new TestCase( + "Math.atan(null)", + 0, + Math.atan(null) ); + +new TestCase( + "Math.atan(NaN)", + Number.NaN, + Math.atan(Number.NaN) ); + +new TestCase( + "Math.atan('a string')", + Number.NaN, + Math.atan("a string") ); + +new TestCase( + "Math.atan('0')", + 0, + Math.atan('0') ); + +new TestCase( + "Math.atan('1')", + Math.PI/4, + Math.atan('1') ); + +new TestCase( + "Math.atan('-1')", + -Math.PI/4, + Math.atan('-1') ); + +new TestCase( + "Math.atan('Infinity)", + Math.PI/2, + Math.atan('Infinity') ); + +new TestCase( + "Math.atan('-Infinity)", + -Math.PI/2, + Math.atan('-Infinity') ); + +new TestCase( + "Math.atan(0)", + 0, + Math.atan(0) ); + +new TestCase( + "Math.atan(-0)", + -0, + Math.atan(-0) ); + +new TestCase( + "Infinity/Math.atan(-0)", + -Infinity, + Infinity/Math.atan(-0) ); + +new TestCase( + "Math.atan(Infinity)", + Math.PI/2, + Math.atan(Number.POSITIVE_INFINITY) ); + +new TestCase( + "Math.atan(-Infinity)", + -Math.PI/2, + Math.atan(Number.NEGATIVE_INFINITY) ); + +new TestCase( + "Math.atan(1)", + Math.PI/4, + Math.atan(1) ); + +new TestCase( + "Math.atan(-1)", + -Math.PI/4, + Math.atan(-1) ); + +test(); diff --git a/js/src/tests/non262/Math/15.8.2.5.js b/js/src/tests/non262/Math/15.8.2.5.js new file mode 100644 index 0000000000..0f1cf7182e --- /dev/null +++ b/js/src/tests/non262/Math/15.8.2.5.js @@ -0,0 +1,209 @@ +/* -*- tab-width: 2; indent-tabs-mode: nil; js-indent-level: 2 -*- */ +/* This Source Code Form is subject to the terms of the Mozilla Public + * License, v. 2.0. If a copy of the MPL was not distributed with this + * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ + + +/** + File Name: 15.8.2.5.js + ECMA Section: 15.8.2.5 atan2( y, x ) + Description: + + Author: christine@netscape.com + Date: 7 july 1997 + +*/ +var SECTION = "15.8.2.5"; +var TITLE = "Math.atan2(x,y)"; +var BUGNUMBER="76111"; + +printBugNumber(BUGNUMBER); + +writeHeaderToLog( SECTION + " "+ TITLE); + +new TestCase( + "Math.atan2.length", + 2, + Math.atan2.length ); + +new TestCase( + "Math.atan2(NaN, 0)", + Number.NaN, + Math.atan2(Number.NaN,0) ); + +new TestCase( + "Math.atan2(null, null)", + 0, + Math.atan2(null, null) ); + +new TestCase( + "Math.atan2(void 0, void 0)", + Number.NaN, + Math.atan2(void 0, void 0) ); + +new TestCase( + "Math.atan2()", + Number.NaN, + Math.atan2() ); + +new TestCase( + "Math.atan2(0, NaN)", + Number.NaN, + Math.atan2(0,Number.NaN) ); + +new TestCase( + "Math.atan2(1, 0)", + Math.PI/2, + Math.atan2(1,0) ); + +new TestCase( + "Math.atan2(1,-0)", + Math.PI/2, + Math.atan2(1,-0) ); + +new TestCase( + "Math.atan2(0,0.001)", + 0, + Math.atan2(0,0.001) ); + +new TestCase( + "Math.atan2(0,0)", + 0, + Math.atan2(0,0) ); + +new TestCase( + "Math.atan2(0, -0)", + Math.PI, + Math.atan2(0,-0) ); + +new TestCase( + "Math.atan2(0, -1)", + Math.PI, + Math.atan2(0, -1) ); + +new TestCase( + "Math.atan2(-0, 1)", + -0, + Math.atan2(-0, 1) ); + +new TestCase( + "Infinity/Math.atan2(-0, 1)", + -Infinity, + Infinity/Math.atan2(-0,1) ); + +new TestCase( + "Math.atan2(-0, 0)", + -0, + Math.atan2(-0,0) ); + +new TestCase( + "Math.atan2(-0, -0)", + -Math.PI, + Math.atan2(-0, -0) ); + +new TestCase( + "Math.atan2(-0, -1)", + -Math.PI, + Math.atan2(-0, -1) ); + +new TestCase( + "Math.atan2(-1, 0)", + -Math.PI/2, + Math.atan2(-1, 0) ); + +new TestCase( + "Math.atan2(-1, -0)", + -Math.PI/2, + Math.atan2(-1, -0) ); + +new TestCase( + "Math.atan2(1, Infinity)", + 0, + Math.atan2(1, Number.POSITIVE_INFINITY) ); + +new TestCase( + "Math.atan2(1,-Infinity)", + Math.PI, + Math.atan2(1, Number.NEGATIVE_INFINITY) ); + +new TestCase( + "Math.atan2(-1, Infinity)", + -0, + Math.atan2(-1,Number.POSITIVE_INFINITY) ); + +new TestCase( + "Infinity/Math.atan2(-1, Infinity)", + -Infinity, + Infinity/Math.atan2(-1,Infinity) ); + +new TestCase( + "Math.atan2(-1,-Infinity)", + -Math.PI, + Math.atan2(-1,Number.NEGATIVE_INFINITY) ); + +new TestCase( + "Math.atan2(Infinity, 0)", + Math.PI/2, + Math.atan2(Number.POSITIVE_INFINITY, 0) ); + +new TestCase( + "Math.atan2(Infinity, 1)", + Math.PI/2, + Math.atan2(Number.POSITIVE_INFINITY, 1) ); + +new TestCase( + "Math.atan2(Infinity,-1)", + Math.PI/2, + Math.atan2(Number.POSITIVE_INFINITY,-1) ); + +new TestCase( + "Math.atan2(Infinity,-0)", + Math.PI/2, + Math.atan2(Number.POSITIVE_INFINITY,-0) ); + +new TestCase( + "Math.atan2(-Infinity, 0)", + -Math.PI/2, + Math.atan2(Number.NEGATIVE_INFINITY, 0) ); + +new TestCase( + "Math.atan2(-Infinity,-0)", + -Math.PI/2, + Math.atan2(Number.NEGATIVE_INFINITY,-0) ); + +new TestCase( + "Math.atan2(-Infinity, 1)", + -Math.PI/2, + Math.atan2(Number.NEGATIVE_INFINITY, 1) ); + +new TestCase( + "Math.atan2(-Infinity, -1)", + -Math.PI/2, + Math.atan2(Number.NEGATIVE_INFINITY,-1) ); + +new TestCase( + "Math.atan2(Infinity, Infinity)", + Math.PI/4, + Math.atan2(Number.POSITIVE_INFINITY, Number.POSITIVE_INFINITY) ); + +new TestCase( + "Math.atan2(Infinity, -Infinity)", + 3*Math.PI/4, + Math.atan2(Number.POSITIVE_INFINITY, Number.NEGATIVE_INFINITY) ); + +new TestCase( + "Math.atan2(-Infinity, Infinity)", + -Math.PI/4, + Math.atan2(Number.NEGATIVE_INFINITY, Number.POSITIVE_INFINITY) ); + +new TestCase( + "Math.atan2(-Infinity, -Infinity)", + -3*Math.PI/4, + Math.atan2(Number.NEGATIVE_INFINITY, Number.NEGATIVE_INFINITY) ); + +new TestCase( + "Math.atan2(-1, 1)", + -Math.PI/4, + Math.atan2( -1, 1) ); + +test(); diff --git a/js/src/tests/non262/Math/15.8.2.7.js b/js/src/tests/non262/Math/15.8.2.7.js new file mode 100644 index 0000000000..70af7e679f --- /dev/null +++ b/js/src/tests/non262/Math/15.8.2.7.js @@ -0,0 +1,247 @@ +/* -*- tab-width: 2; indent-tabs-mode: nil; js-indent-level: 2 -*- */ +/* This Source Code Form is subject to the terms of the Mozilla Public + * License, v. 2.0. If a copy of the MPL was not distributed with this + * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ + + +/** + File Name: 15.8.2.7.js + ECMA Section: 15.8.2.7 cos( x ) + Description: return an approximation to the cosine of the + argument. argument is expressed in radians + Author: christine@netscape.com + Date: 7 july 1997 + +*/ + +var SECTION = "15.8.2.7"; +var TITLE = "Math.cos(x)"; + +writeHeaderToLog( SECTION + " "+ TITLE); + +new TestCase( + "Math.cos.length", + 1, + Math.cos.length ); + +new TestCase( + "Math.cos()", + Number.NaN, + Math.cos() ); + +new TestCase( + "Math.cos(void 0)", + Number.NaN, + Math.cos(void 0) ); + +new TestCase( + "Math.cos(false)", + 1, + Math.cos(false) ); + +new TestCase( + "Math.cos(null)", + 1, + Math.cos(null) ); + +new TestCase( + "Math.cos('0')", + 1, + Math.cos('0') ); + +new TestCase( + "Math.cos('Infinity')", + Number.NaN, + Math.cos("Infinity") ); + +new TestCase( + "Math.cos('3.14159265359')", + -1, + Math.cos('3.14159265359') ); + +new TestCase( + "Math.cos(NaN)", + Number.NaN, + Math.cos(Number.NaN) ); + +new TestCase( + "Math.cos(0)", + 1, + Math.cos(0) ); + +new TestCase( + "Math.cos(-0)", + 1, + Math.cos(-0) ); + +new TestCase( + "Math.cos(Infinity)", + Number.NaN, + Math.cos(Number.POSITIVE_INFINITY) ); + +new TestCase( + "Math.cos(-Infinity)", + Number.NaN, + Math.cos(Number.NEGATIVE_INFINITY) ); + +new TestCase( + "Math.cos(0.7853981633974)", + 0.7071067811865, + Math.cos(0.7853981633974) ); + +new TestCase( + "Math.cos(1.570796326795)", + 0, + Math.cos(1.570796326795) ); + +new TestCase( + "Math.cos(2.356194490192)", + -0.7071067811865, + Math.cos(2.356194490192) ); + +new TestCase( + "Math.cos(3.14159265359)", + -1, + Math.cos(3.14159265359) ); + +new TestCase( + "Math.cos(3.926990816987)", + -0.7071067811865, + Math.cos(3.926990816987) ); + +new TestCase( + "Math.cos(4.712388980385)", + 0, + Math.cos(4.712388980385) ); + +new TestCase( + "Math.cos(5.497787143782)", + 0.7071067811865, + Math.cos(5.497787143782) ); + +new TestCase( + "Math.cos(Math.PI*2)", + 1, + Math.cos(Math.PI*2) ); + +new TestCase( + "Math.cos(Math.PI/4)", + Math.SQRT2/2, + Math.cos(Math.PI/4) ); + +new TestCase( + "Math.cos(Math.PI/2)", + 0, + Math.cos(Math.PI/2) ); + +new TestCase( + "Math.cos(3*Math.PI/4)", + -Math.SQRT2/2, + Math.cos(3*Math.PI/4) ); + +new TestCase( + "Math.cos(Math.PI)", + -1, + Math.cos(Math.PI) ); + +new TestCase( + "Math.cos(5*Math.PI/4)", + -Math.SQRT2/2, + Math.cos(5*Math.PI/4) ); + +new TestCase( + "Math.cos(3*Math.PI/2)", + 0, + Math.cos(3*Math.PI/2) ); + +new TestCase( + "Math.cos(7*Math.PI/4)", + Math.SQRT2/2, + Math.cos(7*Math.PI/4) ); + +new TestCase( + "Math.cos(Math.PI*2)", + 1, + Math.cos(2*Math.PI) ); + +new TestCase( + "Math.cos(-0.7853981633974)", + 0.7071067811865, + Math.cos(-0.7853981633974) ); + +new TestCase( + "Math.cos(-1.570796326795)", + 0, + Math.cos(-1.570796326795) ); + +new TestCase( + "Math.cos(-2.3561944901920)", + -.7071067811865, + Math.cos(2.3561944901920) ); + +new TestCase( + "Math.cos(-3.14159265359)", + -1, + Math.cos(3.14159265359) ); + +new TestCase( + "Math.cos(-3.926990816987)", + -0.7071067811865, + Math.cos(3.926990816987) ); + +new TestCase( + "Math.cos(-4.712388980385)", + 0, + Math.cos(4.712388980385) ); + +new TestCase( + "Math.cos(-5.497787143782)", + 0.7071067811865, + Math.cos(5.497787143782) ); + +new TestCase( + "Math.cos(-6.28318530718)", + 1, + Math.cos(6.28318530718) ); + +new TestCase( + "Math.cos(-Math.PI/4)", + Math.SQRT2/2, + Math.cos(-Math.PI/4) ); + +new TestCase( + "Math.cos(-Math.PI/2)", + 0, + Math.cos(-Math.PI/2) ); + +new TestCase( + "Math.cos(-3*Math.PI/4)", + -Math.SQRT2/2, + Math.cos(-3*Math.PI/4) ); + +new TestCase( + "Math.cos(-Math.PI)", + -1, + Math.cos(-Math.PI) ); + +new TestCase( + "Math.cos(-5*Math.PI/4)", + -Math.SQRT2/2, + Math.cos(-5*Math.PI/4) ); + +new TestCase( + "Math.cos(-3*Math.PI/2)", + 0, + Math.cos(-3*Math.PI/2) ); + +new TestCase( + "Math.cos(-7*Math.PI/4)", + Math.SQRT2/2, + Math.cos(-7*Math.PI/4) ); + +new TestCase( + "Math.cos(-Math.PI*2)", + 1, + Math.cos(-Math.PI*2) ); + +test(); diff --git a/js/src/tests/non262/Math/15.8.2.8.js b/js/src/tests/non262/Math/15.8.2.8.js new file mode 100644 index 0000000000..78f7eb7898 --- /dev/null +++ b/js/src/tests/non262/Math/15.8.2.8.js @@ -0,0 +1,84 @@ +/* -*- tab-width: 2; indent-tabs-mode: nil; js-indent-level: 2 -*- */ +/* This Source Code Form is subject to the terms of the Mozilla Public + * License, v. 2.0. If a copy of the MPL was not distributed with this + * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ + + +/** + File Name: 15.8.2.8.js + ECMA Section: 15.8.2.8 Math.exp(x) + Description: return an approximation to the exponential function of + the argument (e raised to the power of the argument) + special cases: + - if x is NaN return NaN + - if x is 0 return 1 + - if x is -0 return 1 + - if x is Infinity return Infinity + - if x is -Infinity return 0 + Author: christine@netscape.com + Date: 7 july 1997 +*/ + + +var SECTION = "15.8.2.8"; +var TITLE = "Math.exp(x)"; + +writeHeaderToLog( SECTION + " "+ TITLE); + +new TestCase( "Math.exp.length", + 1, + Math.exp.length ); + +new TestCase( "Math.exp()", + Number.NaN, + Math.exp() ); + +new TestCase( "Math.exp(null)", + 1, + Math.exp(null) ); + +new TestCase( "Math.exp(void 0)", + Number.NaN, + Math.exp(void 0) ); + +new TestCase( "Math.exp(1)", + Math.E, + Math.exp(1) ); + +new TestCase( "Math.exp(true)", + Math.E, + Math.exp(true) ); + +new TestCase( "Math.exp(false)", + 1, + Math.exp(false) ); + +new TestCase( "Math.exp('1')", + Math.E, + Math.exp('1') ); + +new TestCase( "Math.exp('0')", + 1, + Math.exp('0') ); + +new TestCase( "Math.exp(NaN)", + Number.NaN, + Math.exp(Number.NaN) ); + +new TestCase( "Math.exp(0)", + 1, + Math.exp(0) ); + +new TestCase( "Math.exp(-0)", + 1, + Math.exp(-0) ); + +new TestCase( "Math.exp(Infinity)", + Number.POSITIVE_INFINITY, + Math.exp(Number.POSITIVE_INFINITY) ); + +new TestCase( "Math.exp(-Infinity)", + 0, + Math.exp(Number.NEGATIVE_INFINITY) ); + +test(); diff --git a/js/src/tests/non262/Math/20.2.2.ToNumber.js b/js/src/tests/non262/Math/20.2.2.ToNumber.js new file mode 100644 index 0000000000..de1f4e612c --- /dev/null +++ b/js/src/tests/non262/Math/20.2.2.ToNumber.js @@ -0,0 +1,112 @@ +/* + * Any copyright is dedicated to the Public Domain. + * http://creativecommons.org/licenses/publicdomain/ + */ + +/* + * ECMA-262 6th Edition / Draft November 8, 2013 + * + * 20.2.2 Function Properties of the Math Object + */ + +/* + * This custom object will allow us to check if valueOf() is called + */ + +TestNumber.prototype = new Number(); + +function TestNumber(value) { + this.value = value; + this.valueOfCalled = false; +} + +TestNumber.prototype = { + valueOf: function() { + this.valueOfCalled = true; + return this.value; + } +} + +// Verify that each TestNumber's flag is set after calling Math func +function test(func /*, args */) { + var args = Array.prototype.slice.call(arguments, 1); + func.apply(null, args); + + for (var i = 0; i < args.length; ++i) + assertEq(args[i].valueOfCalled, true); +} + +// Note that we are not testing these functions' return values +// We only test whether valueOf() is called for each argument + +// 1. Test Math.atan2() +var x = new TestNumber(1); +test(Math.atan2, x); + +var x = new TestNumber(1); +var y = new TestNumber(2); +test(Math.atan2, y, x); + +// Remove comment block once patch for bug 896264 is approved +/* +// 2. Test Math.hypot() +var x = new TestNumber(1); +test(Math.hypot, x); + +var x = new TestNumber(1); +var y = new TestNumber(2); +test(Math.hypot, x, y); + +var x = new TestNumber(1); +var y = new TestNumber(2); +var z = new TestNumber(3); +test(Math.hypot, x, y, z); +*/ + +// Remove comment block once patch for bug 808148 is approved +/* +// 3. Test Math.imul() +var x = new TestNumber(1); +test(Math.imul, x); + +var x = new TestNumber(1); +var y = new TestNumber(2); +test(Math.imul, x, y); +*/ + +// 4. Test Math.max() +var x = new TestNumber(1); +test(Math.max, x); + +var x = new TestNumber(1); +var y = new TestNumber(2); +test(Math.max, x, y); + +var x = new TestNumber(1); +var y = new TestNumber(2); +var z = new TestNumber(3); +test(Math.max, x, y, z); + +// 5. Test Math.min() +var x = new TestNumber(1); +test(Math.min, x); + +var x = new TestNumber(1); +var y = new TestNumber(2); +test(Math.min, x, y); + +var x = new TestNumber(1); +var y = new TestNumber(2); +var z = new TestNumber(3); +test(Math.min, x, y, z); + +// 6. Test Math.pow() +var x = new TestNumber(1); +test(Math.pow, x); + +var x = new TestNumber(1); +var y = new TestNumber(2); +test(Math.pow, x, y); + +reportCompare(0, 0, "ok"); + diff --git a/js/src/tests/non262/Math/Pow.js b/js/src/tests/non262/Math/Pow.js new file mode 100644 index 0000000000..281c716a76 --- /dev/null +++ b/js/src/tests/non262/Math/Pow.js @@ -0,0 +1,117 @@ +// |reftest| skip-if(!xulRuntime.shell) +/* + * Any copyright is dedicated to the Public Domain. + * http://creativecommons.org/licenses/publicdomain/ + */ + +var BUGNUMBER = 1135708; +var summary = "Implement the exponentiation operator"; + +print(BUGNUMBER + ": " + summary); + +// Constant folding +assertEq(2 ** 2 ** 3, 256); +assertEq(1 ** 1 ** 4, 1); + +// No folding +var two = 2; +var three = 3; +var four = 4; +assertEq(two ** two ** three, 256); +assertEq(1 ** 1 ** four, 1); + +// Operator precedence +assertEq(2 ** 3 / 2 ** 3, 1); +assertEq(2 ** 3 * 2 ** 3, 64); +assertEq(2 ** 3 + 2 ** 3, 16); + +// With parentheses +assertEq((2 ** 3) ** 2, 64); +assertEq(2 ** (3 ** 2), 512); + +// Assignment operator +var x = 2; +assertEq(x **= 2 ** 3, 256); +assertEq(x, 256); + +// Loop to test baseline and ION +for (var i=0; i<10000; i++) { + assertEq((2 ** 3) ** 2, 64); + assertEq(2 ** (3 ** 2), 512); + var x = 2; + assertEq(x **= 2 ** 3, 256); + assertEq(x, 256); +} + +// Comments should not be confused with exp operator +var a, c, e; +a = c = e = 2; +assertEq(a**/**b**/c/**/**/**d**/e, 16); + +// Two stars separated should not parse as exp operator +assertThrowsInstanceOf(function() { return Reflect.parse("2 * * 3"); }, SyntaxError); + +// Left-hand side expression must not be a unary expression. +for (let unaryOp of ["delete", "typeof", "void", "+", "-", "!", "~"]) { + assertThrowsInstanceOf(() => eval(unaryOp + " a ** 2"), SyntaxError); + assertThrowsInstanceOf(() => eval(unaryOp + " " + unaryOp + " a ** 2"), SyntaxError); +} + +// Test the other |delete| operators (DELETENAME and DELETEEXPR are already tested above). +assertThrowsInstanceOf(() => eval("delete a.name ** 2"), SyntaxError); +assertThrowsInstanceOf(() => eval("delete a[0] ** 2"), SyntaxError); + +// Unary expression lhs is valid if parenthesized. +for (let unaryOp of ["delete", "void", "+", "-", "!", "~"]) { + let a = 0; + eval("(" + unaryOp + " a) ** 2"); + eval("(" + unaryOp + " " + unaryOp + " a) ** 2"); +} +{ + let a = {}; + (delete a.name) ** 2; + (delete a[0]) ** 2; +} + +// Check if error propagation works +var thrower = { + get value() { + throw new Error(); + } +}; + +assertThrowsInstanceOf(function() { return thrower.value ** 2; }, Error); +assertThrowsInstanceOf(function() { return 2 ** thrower.value; }, Error); +assertThrowsInstanceOf(function() { return 2 ** thrower.value ** 2; }, Error); + +var convertibleToPrimitive = { + valueOf: function() { + throw new Error("oops"); + } +}; + +assertThrowsInstanceOf(function() { return convertibleToPrimitive ** 3; }, Error); +assertThrowsInstanceOf(function() { return 3 ** convertibleToPrimitive; }, Error); + +assertEq(NaN ** 2, NaN); +assertEq(2 ** NaN, NaN); +assertEq(2 ** "3", 8); +assertEq("2" ** 3, 8); + +// Reflect.parse generates a correct parse tree for simplest case +var parseTree = Reflect.parse("a ** b"); +assertEq(parseTree.body[0].type, "ExpressionStatement"); +assertEq(parseTree.body[0].expression.operator, "**"); +assertEq(parseTree.body[0].expression.left.name, "a"); +assertEq(parseTree.body[0].expression.right.name, "b"); + +// Reflect.parse generates a tree following the right-associativity rule +var parseTree = Reflect.parse("a ** b ** c"); +assertEq(parseTree.body[0].type, "ExpressionStatement"); +assertEq(parseTree.body[0].expression.left.name, "a"); +assertEq(parseTree.body[0].expression.right.operator, "**"); +assertEq(parseTree.body[0].expression.right.left.name, "b"); +assertEq(parseTree.body[0].expression.right.right.name, "c"); + +if (typeof reportCompare === "function") + reportCompare(true, true); diff --git a/js/src/tests/non262/Math/acosh-approx.js b/js/src/tests/non262/Math/acosh-approx.js new file mode 100644 index 0000000000..3854a5909d --- /dev/null +++ b/js/src/tests/non262/Math/acosh-approx.js @@ -0,0 +1,283 @@ +var cosh_data = [ + [1.0000014305114746, 0.0016914556651292944], + [1.0000019073486328, 0.001953124689559275], + [1.000007152557373, 0.003782208044661295], + [1.000013828277588, 0.005258943946801101], + [1.0000171661376953, 0.005859366618129203], + [1.0000600814819336, 0.010961831992188852], + [1.0001168251037598, 0.015285472131830425], + [1.0001487731933594, 0.017249319093529877], + [1.0003981590270996, 0.028218171738655373], + [1.000638484954834, 0.03573281468231457], + [1.0010714530944824, 0.046287402472878776], + [1.0030217170715332, 0.07771996527168971], + [1.0049939155578613, 0.0998975930860278], + [1.0092840194702148, 0.13615938768032465], + [1.024169921875, 0.21942279004958354], + [1.0622773170471191, 0.3511165938166055], + 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If x is NaN, the result is NaN. +assertEq(Math.acosh(NaN), NaN); + +// If x is less than 1, the result is NaN. +assertEq(Math.acosh(ONE_MINUS_EPSILON), NaN); +assertEq(Math.acosh(Number.MIN_VALUE), NaN); +assertEq(Math.acosh(+0), NaN); +assertEq(Math.acosh(-0), NaN); +assertEq(Math.acosh(-Number.MIN_VALUE), NaN); +assertEq(Math.acosh(-1), NaN); +assertEq(Math.acosh(-Number.MAX_VALUE), NaN); +assertEq(Math.acosh(-Infinity), NaN); + +for (var i = -20; i < 1; i++) + assertEq(Math.acosh(i), NaN); + +// If x is 1, the result is +0. +assertEq(Math.acosh(1), +0); + +// If x is +∞, the result is +∞. +assertEq(Math.acosh(Number.POSITIVE_INFINITY), Number.POSITIVE_INFINITY); + + +reportCompare(0, 0, "ok"); diff --git a/js/src/tests/non262/Math/asinh-approx.js b/js/src/tests/non262/Math/asinh-approx.js new file mode 100644 index 0000000000..354454fb40 --- /dev/null +++ b/js/src/tests/non262/Math/asinh-approx.js @@ -0,0 +1,303 @@ +var sinh_data = [ + [-497.181640625, -6.902103625349695], + 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+ [1581915832320, 28.78280496108106] +]; + +for (var [x, y] of sinh_data) + assertNear(Math.asinh(x), y); + +assertNear(Math.asinh(1e300), 691.4686750787737); +assertNear(Math.asinh(1e-300), 1e-300); +assertNear(Math.asinh(1e-5), 0.000009999999999833334); +assertNear(Math.asinh(0.3), 0.29567304756342244); +assertNear(Math.asinh(1), 0.881373587019543); + +for (var i = 0; i <= 80; i++) { + var x = (i - 40) / 4; + assertNear(Math.asinh(Math.sinh(x)), x); +} + +for (var i = -20; i < 20; i++) + assertNear(Math.asinh(Math.sinh(i)), i); + +reportCompare(0, 0, "ok"); + diff --git a/js/src/tests/non262/Math/asinh-exact.js b/js/src/tests/non262/Math/asinh-exact.js new file mode 100644 index 0000000000..49463d01fc --- /dev/null +++ b/js/src/tests/non262/Math/asinh-exact.js @@ -0,0 +1,19 @@ +// Properties of Math.asinh that are guaranteed by the spec. + +// If x is NaN, the result is NaN. +assertEq(Math.asinh(NaN), NaN); + +// If x is +0, the result is +0. +assertEq(Math.asinh(+0), +0); + +// If x is −0, the result is −0. +assertEq(Math.asinh(-0), -0); + +// If x is +∞, the result is +∞. +assertEq(Math.asinh(Infinity), Infinity); + +// If x is −∞, the result is −∞. +assertEq(Math.asinh(-Infinity), -Infinity); + + +reportCompare(0, 0, "ok"); diff --git a/js/src/tests/non262/Math/atanh-approx.js b/js/src/tests/non262/Math/atanh-approx.js new file mode 100644 index 0000000000..fcf61892db --- /dev/null +++ b/js/src/tests/non262/Math/atanh-approx.js @@ -0,0 +1,280 @@ +var tanh_data = [ + [-0.9999983310699463, -6.998237084679027], + [-0.9999978542327881, -6.87257975132917], + [-0.999992847442627, -6.2705920974657525], + [-0.9999861717224121, -5.940967614084813], + [-0.9999828338623047, -5.832855225378502], + [-0.9999399185180664, -5.20646301208756], + [-0.9998834133148193, -4.8749821841810785], + [-0.9998509883880615, -4.752279497280338], + [-0.9996016025543213, -4.260504202858904], + [-0.9993612766265869, -4.0244334353203115], + [-0.9989283084869385, -3.7655641082999236], + 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[0.6813662052154541, 0.8316597473423232], + [0.6968657970428467, 0.8611812790659296], + [0.6981887817382812, 0.8637579113749143], + [0.7447831630706787, 0.9611360201710216], + [0.7518312931060791, 0.9771540941752986], + [0.7534394264221191, 0.9808634133542229], + [0.7567856311798096, 0.9886489208209699], + [0.7817282676696777, 1.0497991719828956], + [0.8115026950836182, 1.1314141444187586], + [0.814647912979126, 1.1406947755584418], + [0.8266689777374268, 1.1775230833699681], + [0.8313877582550049, 1.1926138225701433], + [0.8343038558959961, 1.2021323323039612], + [0.8416652679443359, 1.2268570644335162], + [0.8584413528442383, 1.2873896671573652], + [0.8678996562957764, 1.3245040433929398], + [0.8679344654083252, 1.3246451309261607], + [0.8800599575042725, 1.3760334877782177], + [0.9003539085388184, 1.4740852961194106], + [0.9099440574645996, 1.5271990851861994], + [0.9142425060272217, 1.5527768948273004], + [0.9149219989776611, 1.556931837197936], + [0.9184908866882324, 1.5792896628381612], + [0.9188928604125977, 1.5818663359427627], + [0.919395923614502, 1.5851082843320008], + [0.9296839237213135, 1.6560555223295368], + [0.9298396110534668, 1.6572041418041492], + [0.9352962970733643, 1.6990986433619266], + [0.9376416206359863, 1.718164398807965], + [0.9410912990570068, 1.7475084077246632], + [0.962122917175293, 1.9737180163455101], + [0.9748215675354004, 2.1811227771083783], + [0.9769454002380371, 2.2257214499698255], + [0.985663890838623, 2.4654635601650536], + [0.9880380630493164, 2.5565869228142004], + [0.9928233623504639, 2.8132383539094192], + [1e-300, 1e-300], + [0.00001, 0.000010000000000333334], + [0.3, 0.3095196042031117], + [1e-30, 1e-30], + [1e-10, 1e-10], +]; + +var sloppy_tolerance = 2; // FIXME + +for (var [x, y] of tanh_data) + assertNear(Math.atanh(x), y, sloppy_tolerance); + +assertNear(Math.atanh(+3 / 5), +Math.log(2), sloppy_tolerance); +assertNear(Math.atanh(-3 / 5), -Math.log(2), sloppy_tolerance); + +for (var i = -1; i < 1; i += 0.05) + assertNear(Math.atanh(Math.tanh(i)), i, sloppy_tolerance); + +reportCompare(0, 0, "ok"); diff --git a/js/src/tests/non262/Math/atanh-exact.js b/js/src/tests/non262/Math/atanh-exact.js new file mode 100644 index 0000000000..f49bdb1ac4 --- /dev/null +++ b/js/src/tests/non262/Math/atanh-exact.js @@ -0,0 +1,35 @@ +// Properties of Math.atanh that are guaranteed by the spec. + +// If x is NaN, the result is NaN. +assertEq(Math.atanh(NaN), NaN); + +// If x is less than −1, the result is NaN. +assertEq(Math.atanh(-ONE_PLUS_EPSILON), NaN); +assertEq(Math.atanh(-Number.MAX_VALUE), NaN); +assertEq(Math.atanh(-Infinity), NaN); + +for (var i = -5; i < -1; i += 0.1) + assertEq(Math.atanh(i), NaN); + +// If x is greater than 1, the result is NaN. +assertEq(Math.atanh(ONE_PLUS_EPSILON), NaN); +assertEq(Math.atanh(Number.MAX_VALUE), NaN); +assertEq(Math.atanh(Infinity), NaN); + +for (var i = +5; i > +1; i -= 0.1) + assertEq(Math.atanh(i), NaN); + +// If x is −1, the result is −∞. +assertEq(Math.atanh(-1), -Infinity); + +// If x is +1, the result is +∞. +assertEq(Math.atanh(+1), Infinity); + +// If x is +0, the result is +0. +assertEq(Math.atanh(+0), +0); + +// If x is −0, the result is −0. +assertEq(Math.atanh(-0), -0); + + +reportCompare(0, 0, "ok"); diff --git a/js/src/tests/non262/Math/browser.js b/js/src/tests/non262/Math/browser.js new file mode 100644 index 0000000000..e69de29bb2 --- /dev/null +++ b/js/src/tests/non262/Math/browser.js diff --git a/js/src/tests/non262/Math/cbrt-approx.js b/js/src/tests/non262/Math/cbrt-approx.js new file mode 100644 index 0000000000..1f54bb5a62 --- /dev/null +++ b/js/src/tests/non262/Math/cbrt-approx.js @@ -0,0 +1,17 @@ +assertEq(Math.cbrt(1), 1); +assertEq(Math.cbrt(-1), -1); + +assertNear(Math.cbrt(1e-300), 1e-100); +assertNear(Math.cbrt(-1e-300), -1e-100); + +var cbrt_data = [ + [ Math.E, 1.3956124250860895 ], + [ Math.PI, 1.4645918875615231 ], + [ Math.LN2, 0.8849970445005177 ], + [ Math.SQRT2, 1.1224620483093728 ] +]; + +for (var [x, y] of cbrt_data) + assertNear(Math.cbrt(x), y); + +reportCompare(0, 0, "ok"); diff --git a/js/src/tests/non262/Math/cbrt-exact.js b/js/src/tests/non262/Math/cbrt-exact.js new file mode 100644 index 0000000000..e0b7289f03 --- /dev/null +++ b/js/src/tests/non262/Math/cbrt-exact.js @@ -0,0 +1,19 @@ +// Properties of Math.cbrt that are guaranteed by the spec. + +// If x is NaN, the result is NaN. +assertEq(Math.cbrt(NaN), NaN); + +// If x is +0, the result is +0. +assertEq(Math.cbrt(+0), +0); + +// If x is −0, the result is −0. +assertEq(Math.cbrt(-0), -0); + +// If x is +∞, the result is +∞. +assertEq(Math.cbrt(Infinity), Infinity); + +// If x is −∞, the result is −∞. +assertEq(Math.cbrt(-Infinity), -Infinity); + + +reportCompare(0, 0, "ok"); diff --git a/js/src/tests/non262/Math/clz32.js b/js/src/tests/non262/Math/clz32.js new file mode 100644 index 0000000000..0062676365 --- /dev/null +++ b/js/src/tests/non262/Math/clz32.js @@ -0,0 +1,40 @@ +// Undefined and NaN end up as zero after ToUint32 +assertEq(Math.clz32(), 32); +assertEq(Math.clz32(NaN), 32); +assertEq(Math.clz32.call(), 32); +// 0 +assertEq(Math.clz32(null), 32); +assertEq(Math.clz32(false), 32); +// 1 +assertEq(Math.clz32(true), 31); +// 3 +assertEq(Math.clz32(3.5), 30); +// NaN -> 0 +assertEq(Math.clz32({}), 32); +// 2 +assertEq(Math.clz32({valueOf: function() { return 2; }}), 30); +// 0 -> 0 +assertEq(Math.clz32([]), 32); +assertEq(Math.clz32(""), 32); +// NaN -> 0 +assertEq(Math.clz32([1, 2, 3]), 32); +assertEq(Math.clz32("bar"), 32); +// 15 +assertEq(Math.clz32("15"), 28); + + +assertEq(Math.clz32(0x80000000), 0); +assertEq(Math.clz32(0xF0FF1000), 0); +assertEq(Math.clz32(0x7F8F0001), 1); +assertEq(Math.clz32(0x3FFF0100), 2); +assertEq(Math.clz32(0x1FF50010), 3); +assertEq(Math.clz32(0x00800000), 8); +assertEq(Math.clz32(0x00400000), 9); +assertEq(Math.clz32(0x00008000), 16); +assertEq(Math.clz32(0x00004000), 17); +assertEq(Math.clz32(0x00000080), 24); +assertEq(Math.clz32(0x00000040), 25); +assertEq(Math.clz32(0x00000001), 31); +assertEq(Math.clz32(0), 32); + +reportCompare(0, 0, 'ok'); diff --git a/js/src/tests/non262/Math/cosh-approx.js b/js/src/tests/non262/Math/cosh-approx.js new file mode 100644 index 0000000000..d724aa2946 --- /dev/null +++ b/js/src/tests/non262/Math/cosh-approx.js @@ -0,0 +1,276 @@ +assertEq(Math.cosh(1000), Infinity); +assertEq(Math.cosh(Number.MAX_VALUE), Infinity); +assertNear(Math.cosh(1e-30), 1); +assertNear(Math.cosh(1e-10), 1); + +var cosh_data = [ + [0.0016914556651292944, 1.0000014305114746], + [0.001953124689559275, 1.0000019073486328], + [0.003782208044661295, 1.000007152557373], + [0.005258943946801101, 1.000013828277588], + [0.005859366618129203, 1.0000171661376953], + [0.010961831992188852, 1.0000600814819336], + [0.015285472131830425, 1.0001168251037598], + [0.017249319093529877, 1.0001487731933594], + [0.028218171738655373, 1.0003981590270996], + [0.03573281468231457, 1.000638484954834], + [0.046287402472878776, 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389.8044433593749], + [6.675345858154136, 396.3114013671875], + [6.677094789236718, 397.00512695312494], + [6.6775691166680895, 397.1934814453124], + [6.679106750673113, 397.80468749999994], + [6.681712590609845, 398.84265136718744], + [6.682523938576487, 399.16638183593744], + [6.68274532345516, 399.2547607421874], + [6.685459416477178, 400.3398437499999], + [6.694456277839498, 403.9578857421875], + [6.6952522228540765, 404.27954101562517], + [6.6971746771142415, 405.05749511718744], + [6.702764738337774, 407.328125], + [6.7033022311799595, 407.54711914062506], + [6.710763953621196, 410.59948730468756], + [6.711256159037373, 410.8016357421876], + [6.712054288828399, 411.12963867187494], + [6.713939407502346, 411.9053955078124], + [6.722828986708716, 415.5833740234374], + [6.727835453862132, 417.66918945312506], + [6.734632628835641, 420.51782226562506], + [6.743787740494532, 424.38537597656233], + [6.744565219553757, 424.71545410156244], + [6.7715720212680655, 436.3419189453125], + [6.776510146304201, 438.50195312500017], + [6.778412462065226, 439.33691406250017], + [6.79247934060035, 445.5606689453126], + [6.809016260337229, 452.9901123046875], + [6.810747231716348, 453.7749023437499], + [6.817335895109251, 456.7745361328125], + [6.819910421197311, 457.9520263671875], + [6.821497844004013, 458.6795654296874], + [6.8254946428721475, 460.51647949218767], + [6.828433164406687, 461.87170410156256], + [6.834543470287694, 464.70251464843756], + [6.839609377592375, 467.06262207031267], + [6.839627933844213, 467.0712890625001], + [6.846084943645239, 470.09692382812494], + [6.856799276049143, 475.16076660156233], + [6.861822721577315, 477.5537109374998], + [6.864066049482581, 478.62622070312517], + [6.864420497333681, 478.79589843750017], + [6.866278653973069, 479.68640136718733], + [6.866487814627139, 479.7867431640625], + [6.8667493311188395, 479.9122314453126], + [6.872084270243208, 482.4793701171875], + [6.872164723177875, 482.5181884765627], + [6.874982560453874, 483.87976074218767], + [6.876191234145179, 484.46496582031233], + [6.877966548833207, 485.3258056640624], + [6.888721726428236, 490.57373046875006], + [6.89515989558997, 493.74230957031244], + [6.896232568812718, 494.2722167968751], + [6.900624415355815, 496.44775390624983], + [6.901816998553275, 497.0401611328125], + [6.9042162822876465, 498.23413085937483], + [7.193052598670793, 665.0791015625001], + [7.758155143419732, 1170.29150390625], + [8.323023697145112, 2058.795898437501], + [9.36298131161099, 5824.533203125004], + [9.810748008110926, 9114.308593750004], + [11.047341056314202, 31388.40624999998], + [11.584925435512535, 53732.765624999956], + [12.366958539207397, 117455.0937500001], + [13.107089828327874, 246210.62499999983], + [13.84248373881162, 513670.1250000003], + [14.27084873575108, 788353.2499999999], + [15.060339852215408, 1736170.999999999], + [15.835873313657556, 3770530.0000000005], + [15.977474039173265, 4344089.999999998], + [16.943967899150145, 11419360.000000006], + [17.943394339560967, 31023239.99999997], + [18.214035936745432, 40665424.00000006], + [19.374560581709215, 129788063.99999991], + [19.927723623778547, 225668224.00000027], + [20.619308638400597, 450631936.0000006], + [21.129986093026698, 750941952.0000008], + [22.05159150215413, 1887358976.0000033], + [22.734966842639743, 3738011648.0000052], + [23.42954051928097, 7486695423.99999], + [23.955498471391667, 12668080127.99998], + [24.591055724582848, 23918272512], + [25.305424481799395, 48862560256.00005], + [26.150535181949436, 113763549183.99998], + [26.499894449532565, 161334755328.00018], + [27.19075733422632, 321933279232.0004], + [27.989721778208146, 715734122496], + [28.953212876533797, 1875817529343.9976], +]; + +for (var [x, y] of cosh_data) + assertNear(Math.cosh(x), y); + +for (var i = -20; i < 20; i++) + assertNear(Math.cosh(i), (Math.exp(i) + Math.exp(-i)) / 2); + +reportCompare(0, 0, "ok"); diff --git a/js/src/tests/non262/Math/cosh-exact.js b/js/src/tests/non262/Math/cosh-exact.js new file mode 100644 index 0000000000..a302776c4f --- /dev/null +++ b/js/src/tests/non262/Math/cosh-exact.js @@ -0,0 +1,19 @@ +// Properties of Math.cosh that are guaranteed by the spec. + +// If x is NaN, the result is NaN. +assertEq(Math.cosh(NaN), NaN); + +// If x is +0, the result is 1. +assertEq(Math.cosh(+0), 1); + +// If x is −0, the result is 1. +assertEq(Math.cosh(-0), 1); + +// If x is +∞, the result is +∞. +assertEq(Math.cosh(Infinity), Infinity); + +// If x is −∞, the result is +∞. +assertEq(Math.cosh(-Infinity), Infinity); + + +reportCompare(0, 0, "ok"); diff --git a/js/src/tests/non262/Math/exp-exact.js b/js/src/tests/non262/Math/exp-exact.js new file mode 100644 index 0000000000..e004f74718 --- /dev/null +++ b/js/src/tests/non262/Math/exp-exact.js @@ -0,0 +1,29 @@ +// Properties of Math.exp that are guaranteed by the spec. + +// If x is NaN, the result is NaN. +assertEq(Math.exp(NaN), NaN); + +// If x is +0, the result is 1. +assertEq(Math.exp(+0), 1); + +// If x is −0, the result is 1. +assertEq(Math.exp(-0), 1); + +// If x is +∞, the result is +∞. +assertEq(Math.exp(Infinity), Infinity); + +// If x is −∞, the result is +0. +assertEq(Math.exp(-Infinity), +0); + + +// Not guaranteed by the specification, but generally assumed to hold. + +// If x is 1, the result is Math.E. +assertEq(Math.exp(1), Math.E); + +// If x is -1, the result is 1/Math.E. +assertEq(Math.exp(-1), 1 / Math.E); + + +if (typeof reportCompare === "function") + reportCompare(0, 0); diff --git a/js/src/tests/non262/Math/expm1-approx.js b/js/src/tests/non262/Math/expm1-approx.js new file mode 100644 index 0000000000..397ab97ebf --- /dev/null +++ b/js/src/tests/non262/Math/expm1-approx.js @@ -0,0 +1,62 @@ +assertNear(Math.expm1(1e-300), 1e-300); +assertNear(Math.expm1(1e-100), 1e-100); +assertNear(Math.expm1(1e-14), 1.000000000000005e-14); +assertNear(Math.expm1(1e-6), 0.0000010000005000001665); + +var expm1_data = [ + [ -1.875817529344e-70, -1.875817529344e-70 ], + [ -7.09962844069878e-15, -7.099628440698755e-15 ], + [ -2.114990849122478e-10, -2.1149908488988187e-10 ], + [ -0.0000031404608812881633, -0.000003140455950046052 ], + + [ -0.0000011039855962733358, -0.0000011039849868814618 ], + [ -0.000015114666893502755, -0.0000151145526675006 ], + [ -0.000033870281179478836, -0.000033869707587981166 ], + [ -0.00043952149320897676, -0.00043942491778698985 ], + [ -0.005553725496786973, -0.005538332073473123 ], + [ -0.05122020579778827, -0.049930563302241604 ], + [ -0.4721357117742938, -0.3763311320344197 ], + [ -1.2781607348262256, -0.7214508446489242 ], + + [ 1.875817529344e-70, 1.875817529344e-70 ], + [ 6.261923313140869e-30, 6.261923313140869e-30 ], + [ 7.09962844069878e-15, 7.099628440698805e-15 ], + [ 1.3671879628418538e-12, 1.3671879628427884e-12 ], + [ 2.114990849122478e-10, 2.1149908493461373e-10 ], + [ 1.6900931765206906e-8, 1.6900931908027652e-8 ], + [ 0.0000031404608812881633, 0.0000031404658125405988 ], + + [ 0.0000011039855962733358, 0.0000011039862056656584 ], + [ 0.000015114666893502755, 0.000015114781120655907 ], + [ 0.000033870281179478836, 0.00003387085478392845 ], + [ 0.00043952149320897676, 0.0004396180969330924 ], + [ 0.005553725496786973, 0.005569176019645543 ], + [ 0.05122020579778827, 0.05255464640120383 ], + [ 0.4721357117742938, 0.6034149712523235 ], + [ 1.2781607348262256, 2.590030631181154 ], + + [ 3.0693960800487883, 20.528897017773147 ], + [ 5.560441648750136, 258.9376120972927 ], + [ 7.4227656046482595, 1672.6557833191303 ], + [ 11.378926299184645, 87458.07941992789 ], +]; + +for (var [x, y] of expm1_data) + assertNear(Math.expm1(x), y); + +var sloppy_tolerance = 34; + +var expm1_data_sloppy = [ + [ 20.11881628179155, 546375092.2355127 ], + [ 33.45034324980283, 336743709091858.2 ], + [ 46.43974518513109, 147409364838076710000 ], + [ 54.60105936314322, 5.163435870507142e+23 ], + [ 84.29619209850242, 4.067907545704549e+36 ], + [ 125.38131800315817, 2.8340959047812913e+54 ], + [ 216.85489905212918, 1.5096839294759775e+94 ], +]; + +for (var [x, y] of expm1_data_sloppy) + assertNear(Math.expm1(x), y, sloppy_tolerance); + +reportCompare(0, 0, "ok"); diff --git a/js/src/tests/non262/Math/expm1-exact.js b/js/src/tests/non262/Math/expm1-exact.js new file mode 100644 index 0000000000..57b94ed225 --- /dev/null +++ b/js/src/tests/non262/Math/expm1-exact.js @@ -0,0 +1,20 @@ +// Properties of Math.expm1 that are guaranteed by the spec. + +// If x is NaN, the result is NaN. +assertEq(Math.expm1(NaN), NaN); + +// If x is +0, the result is +0. +assertEq(Math.expm1(+0), +0); + +// If x is −0, the result is −0. +assertEq(Math.expm1(-0), -0); + +// If x is +∞, the result is +∞. +assertEq(Math.expm1(Infinity), Infinity); + +// If x is −∞, the result is -1. +assertEq(Math.expm1(-Infinity), -1); + + +reportCompare(0, 0, "ok"); + diff --git a/js/src/tests/non262/Math/expm1-monotonicity.js b/js/src/tests/non262/Math/expm1-monotonicity.js new file mode 100644 index 0000000000..2ae25708d1 --- /dev/null +++ b/js/src/tests/non262/Math/expm1-monotonicity.js @@ -0,0 +1,94 @@ +var BUGNUMBER = 897634; +var summary = "expm1 should be monotonically increasing"; + +print(BUGNUMBER + ": " + summary); + +function test(x, prev, next) { + assertEq(Math.expm1(prev) <= Math.expm1(x), true); + assertEq(Math.expm1(x) <= Math.expm1(next), true); +} + +// Thresholds in fdlibm expm1 implementation. + +// |hx| == 0x40862E42 or not +test(-709.7822265625, -709.7822265625001, -709.7822265624999); +test(709.7822265625, 709.7822265624999, 709.7822265625001); + +// |hx| == 0x4043687A or not +test(-38.81622314453125, -38.81622314453126, -38.81622314453124); +test(38.81622314453125, 38.81622314453124, 38.81622314453126); + +// |hx| == 0x7ff00000 or not +test(-1.7976931348623157e+308, -Infinity, -1.7976931348623155e+308); +test(1.7976931348623157e+308, 1.7976931348623155e+308, Infinity); + +// |hx| == 0x3fd62e42 or not +test(-0.3465733528137207, -0.34657335281372076, -0.34657335281372065); +test(0.3465733528137207, 0.34657335281372065, 0.34657335281372076); + +// |hx| == 0x3FF0A2B2 or not +test(-1.0397205352783203, -1.0397205352783205, -1.03972053527832); +test(1.0397205352783203, 1.03972053527832, 1.0397205352783205); + +// |hx| == 0x3c900000 or not +test(-5.551115123125783e-17, -5.551115123125784e-17, -5.551115123125782e-17); +test(5.551115123125783e-17, 5.551115123125782e-17, 5.551115123125784e-17); + +// x < -0.25 or not +test(-0.25, -0.25000000000000006, -0.24999999999999997); + +// k == -1 or k == -2 +test(-1.0397207708399179, -1.039720770839918, -1.0397207708399177); + +// k == -1 or k == 0 +test(-0.3465735912322998, -0.34657359123229986, -0.34657359123229975); + +// k == 0 or k == 1 +test(0.3465735912322998, 0.34657359123229975, 0.34657359123229986); + +// k == 1 or k == 2 +test(1.039720770839918, 1.0397207708399179, 1.0397207708399183); + +// k == 19 or k == 20 +test(13.516370020918933, 13.51637002091893, 13.516370020918934); + +// k == 56 or k == 57 +test(39.16281570163691, 39.1628157016369, 39.162815701636916); + +// k == 1023 or k == 1024 +test(709.436139303104, 709.4361393031039, 709.4361393031041); + +// k == 1024 or more +test(709.7827128933841, 709.782712893384, 709.7827128933842); + +// Some more random cases. +test(-1.7976931348623157e+308, -Infinity, -1.7976931348623155e+308); +test(-1e+223, -1.0000000000000002e+223, -9.999999999999999e+222); +test(-1e+100, -1.0000000000000002e+100, -9.999999999999998e+99); +test(-10000000000, -10000000000.000002, -9999999999.999998); +test(-100000, -100000.00000000001, -99999.99999999999); +test(-100, -100.00000000000001, -99.99999999999999); +test(-10, -10.000000000000002, -9.999999999999998); +test(-1, -1, -0.9999999999999999); +test(-0.01, -0.010000000000000002, -0.009999999999999998); +test(-0.00001, -0.000010000000000000003, -0.000009999999999999999); +test(-1e-10, -1.0000000000000002e-10, -9.999999999999999e-11); +test(-1e-100, -1.0000000000000001e-100, -9.999999999999999e-101); +test(-5e-324, -1e-323, 0); +test(0, -5e-324, 5e-324); +test(5e-324, 0, 1e-323); +test(1e-100, 9.999999999999999e-101, 1.0000000000000001e-100); +test(1e-10, 9.999999999999999e-11, 1.0000000000000002e-10); +test(0.00001, 0.000009999999999999999, 0.000010000000000000003); +test(0.01, 0.009999999999999998, 0.010000000000000002); +test(1, 0.9999999999999999, 1); +test(10, 9.999999999999998, 10.000000000000002); +test(100, 99.99999999999999, 100.00000000000001); +test(100000, 99999.99999999999, 100000.00000000001); +test(10000000000, 9999999999.999998, 10000000000.000002); +test(1e+100, 9.999999999999998e+99, 1.0000000000000002e+100); +test(1e+223, 9.999999999999999e+222, 1.0000000000000002e+223); +test(1.7976931348623157e+308, 1.7976931348623155e+308, Infinity); + +if (typeof reportCompare === "function") + reportCompare(true, true); diff --git a/js/src/tests/non262/Math/fround.js b/js/src/tests/non262/Math/fround.js new file mode 100644 index 0000000000..353f798d5d --- /dev/null +++ b/js/src/tests/non262/Math/fround.js @@ -0,0 +1,81 @@ +/* + * Any copyright is dedicated to the Public Domain. + * http://creativecommons.org/licenses/publicdomain/ + */ + +// Some tests regarding conversion to Float32 +assertEq(Math.fround(), NaN); + +// Special values +assertEq(Math.fround(NaN), NaN); +assertEq(Math.fround(-Infinity), -Infinity); +assertEq(Math.fround(Infinity), Infinity); +assertEq(Math.fround(-0), -0); +assertEq(Math.fround(+0), +0); + +// Polyfill function for Float32 conversion +var toFloat32 = (function() { + var f32 = new Float32Array(1); + function f(x) { + f32[0] = x; + return f32[0]; + } + return f; +})(); + +// A test on a certain range of numbers, including big numbers, so that +// we get a loss in precision for some of them. +for (var i = 0; i < 64; ++i) { + var p = Math.pow(2, i) + 1; + assertEq(Math.fround(p), toFloat32(p)); + assertEq(Math.fround(-p), toFloat32(-p)); +} + +/******************************************** +/* Tests on maximal Float32 / Double values * +/*******************************************/ +function maxValue(exponentWidth, significandWidth) { + var n = 0; + var maxExp = Math.pow(2, exponentWidth - 1) - 1; + for (var i = significandWidth; i >= 0; i--) + n += Math.pow(2, maxExp - i); + return n; +} + +var DBL_MAX = maxValue(11, 52); +assertEq(DBL_MAX, Number.MAX_VALUE); // sanity check + +// Finite as a double, too big for a float +assertEq(Math.fround(DBL_MAX), Infinity); + +var FLT_MAX = maxValue(8, 23); +assertEq(Math.fround(FLT_MAX), FLT_MAX); +assertEq(Math.fround(FLT_MAX + Math.pow(2, Math.pow(2, 8 - 1) - 1 - 23 - 2)), FLT_MAX); // round-nearest rounds down to FLT_MAX +assertEq(Math.fround(FLT_MAX + Math.pow(2, Math.pow(2, 8 - 1) - 1 - 23 - 1)), Infinity); // no longer rounds down to FLT_MAX + +/********************************************************* +/******* Tests on denormalizations and roundings ********* +/********************************************************/ + +function minValue(exponentWidth, significandWidth) { + return Math.pow(2, -(Math.pow(2, exponentWidth - 1) - 2) - significandWidth); +} + +var DBL_MIN = Math.pow(2, -1074); +assertEq(DBL_MIN, Number.MIN_VALUE); // sanity check + +// Too small for a float +assertEq(Math.fround(DBL_MIN), 0); + +var FLT_MIN = minValue(8, 23); +assertEq(Math.fround(FLT_MIN), FLT_MIN); + +assertEq(Math.fround(FLT_MIN / 2), 0); // halfway, round-nearest rounds down to 0 (even) +assertEq(Math.fround(FLT_MIN / 2 + Math.pow(2, -202)), FLT_MIN); // first double > FLT_MIN / 2, rounds up to FLT_MIN + +assertEq(Math.fround(-FLT_MIN), -FLT_MIN); + +assertEq(Math.fround(-FLT_MIN / 2), -0); // halfway, round-nearest rounds up to -0 (even) +assertEq(Math.fround(-FLT_MIN / 2 - Math.pow(2, -202)), -FLT_MIN); // first double < -FLT_MIN / 2, rounds down to -FLT_MIN + +reportCompare(0, 0, "ok"); diff --git a/js/src/tests/non262/Math/log10-approx.js b/js/src/tests/non262/Math/log10-approx.js new file mode 100644 index 0000000000..0489448513 --- /dev/null +++ b/js/src/tests/non262/Math/log10-approx.js @@ -0,0 +1,9 @@ +assertNear(Math.log10(2), 0.3010299956639812); +assertNear(Math.log10(7), 0.8450980400142568); +assertNear(Math.log10(Math.E), Math.LOG10E); + +for (var i = -10; i < 10; i++) + assertNear(Math.log10(Math.pow(10, i)), i); + +reportCompare(0, 0, 'ok'); + diff --git a/js/src/tests/non262/Math/log10-exact.js b/js/src/tests/non262/Math/log10-exact.js new file mode 100644 index 0000000000..0c125306bf --- /dev/null +++ b/js/src/tests/non262/Math/log10-exact.js @@ -0,0 +1,30 @@ +// Properties of Math.log10 that are guaranteed by the spec. + +// If x is NaN, the result is NaN. +assertEq(Math.log10(NaN), NaN); + +// If x is less than 0, the result is NaN. +assertEq(Math.log10(-1e-10), NaN); +assertEq(Math.log10(-1e-5), NaN); +assertEq(Math.log10(-1e-1), NaN); +assertEq(Math.log10(-Number.MIN_VALUE), NaN); +assertEq(Math.log10(-Number.MAX_VALUE), NaN); +assertEq(Math.log10(-Infinity), NaN); + +for (var i = -1; i > -10; i--) + assertEq(Math.log10(i), NaN); + +// If x is +0, the result is −∞. +assertEq(Math.log10(+0), -Infinity); + +// If x is −0, the result is −∞. +assertEq(Math.log10(-0), -Infinity); + +// If x is 1, the result is +0. +assertEq(Math.log10(1), +0); + +// If x is +∞, the result is +∞. +assertEq(Math.log10(Infinity), Infinity); + + +reportCompare(0, 0, 'ok'); diff --git a/js/src/tests/non262/Math/log1p-approx.js b/js/src/tests/non262/Math/log1p-approx.js new file mode 100644 index 0000000000..f1d120af68 --- /dev/null +++ b/js/src/tests/non262/Math/log1p-approx.js @@ -0,0 +1,20 @@ +assertNear(Math.log1p(1e-300), 1e-300); +assertNear(Math.log1p(1e-15), 9.999999999999995e-16); +assertNear(Math.log1p(1e-6), 9.999995000003334e-7); + +var log1p_data = [ + [ 1.875817529344e-70, 1.875817529344e-70 ], + [ 6.261923313140869e-30, 6.261923313140869e-30 ], + [ 7.09962844069878e-15, 7.099628440698755e-15 ], + [ 1.3671879628418538e-12, 1.3671879628409192e-12 ], + [ 2.114990849122478e-10, 2.1149908488988187e-10 ], + [ 1.6900931765206906e-8, 1.690093162238616e-8 ], + [ 0.0000709962844069878, 0.00007099376429006658 ], + [ 0.0016793412882520897, 0.00167793277137076 ], + [ 0.011404608812881634, 0.011340066517988035 ], +]; + +for (var [x, y] of log1p_data) + assertNear(Math.log1p(x), y); + +reportCompare(0, 0, "ok"); diff --git a/js/src/tests/non262/Math/log1p-exact.js b/js/src/tests/non262/Math/log1p-exact.js new file mode 100644 index 0000000000..bec11b6597 --- /dev/null +++ b/js/src/tests/non262/Math/log1p-exact.js @@ -0,0 +1,29 @@ +// Properties of Math.log1p that are guaranteed by the spec. + +// If x is NaN, the result is NaN. +assertEq(Math.log1p(NaN), NaN); + +// If x is less than -1, the result is NaN. +assertEq(Math.log1p(-1 - 1e-10), NaN); +assertEq(Math.log1p(-1 - 1e-5), NaN); +assertEq(Math.log1p(-1 - 1e-1), NaN); +assertEq(Math.log1p(-ONE_PLUS_EPSILON), NaN); + +for (var i = -2; i > -20; i--) + assertEq(Math.log1p(i), NaN); + +// If x is -1, the result is -∞. +assertEq(Math.log1p(-1), -Infinity); + +// If x is +0, the result is +0. +assertEq(Math.log1p(+0), +0); + +// If x is −0, the result is −0. +assertEq(Math.log1p(-0), -0); + +// If x is +∞, the result is +∞. +assertEq(Math.log1p(Infinity), Infinity); + + +reportCompare(0, 0, "ok"); + diff --git a/js/src/tests/non262/Math/log2-approx.js b/js/src/tests/non262/Math/log2-approx.js new file mode 100644 index 0000000000..954f4c1cf9 --- /dev/null +++ b/js/src/tests/non262/Math/log2-approx.js @@ -0,0 +1,8 @@ +for (var i = -1074; i < 1023; i++) + assertNear(Math.log2(Math.pow(2, i)), i); + +assertNear(Math.log2(5), 2.321928094887362); +assertNear(Math.log2(7), 2.807354922057604); +assertNear(Math.log2(Math.E), Math.LOG2E); + +reportCompare(0, 0, "ok"); diff --git a/js/src/tests/non262/Math/log2-exact.js b/js/src/tests/non262/Math/log2-exact.js new file mode 100644 index 0000000000..160034ddb8 --- /dev/null +++ b/js/src/tests/non262/Math/log2-exact.js @@ -0,0 +1,30 @@ +// Properties of Math.log2 that are guaranteed by the spec. + +// If x is NaN, the result is NaN. +assertEq(Math.log2(NaN), NaN); + +// If x is less than 0, the result is NaN. +assertEq(Math.log2(-1e-10), NaN); +assertEq(Math.log2(-1e-5), NaN); +assertEq(Math.log2(-1e-1), NaN); +assertEq(Math.log2(-Number.MIN_VALUE), NaN); +assertEq(Math.log2(-Number.MAX_VALUE), NaN); +assertEq(Math.log2(-Infinity), NaN); + +for (var i = -1; i > -10; i--) + assertEq(Math.log2(i), NaN); + +// If x is +0, the result is −∞. +assertEq(Math.log2(+0), -Infinity); + +// If x is −0, the result is −∞. +assertEq(Math.log2(-0), -Infinity); + +// If x is 1, the result is +0. +assertEq(Math.log2(1), +0); + +// If x is +∞, the result is +∞. +assertEq(Math.log2(Infinity), Infinity); + + +reportCompare(0, 0, 'ok'); diff --git a/js/src/tests/non262/Math/pow-approx-pow10.js b/js/src/tests/non262/Math/pow-approx-pow10.js new file mode 100644 index 0000000000..c95eeab428 --- /dev/null +++ b/js/src/tests/non262/Math/pow-approx-pow10.js @@ -0,0 +1,51 @@ +if (typeof fdlibm === "undefined") { + var fdlibm = SpecialPowers.Cu.getJSTestingFunctions().fdlibm; +} + +const f64 = new Float64Array(1); +const ui64 = new BigUint64Array(f64.buffer); + +function toBits(n) { + f64[0] = n; + return ui64[0]; +} + +function errorInULP(actual, expected) { + // Handle NaN and +0/-0. + if (Object.is(actual, expected)) { + return 0; + } + + let x = toBits(actual); + let y = toBits(expected); + return x <= y ? Number(y - x) : Number(x - y); +} + +const maxExponent = Math.trunc(Math.log10(Number.MAX_VALUE)); +const minExponent = Math.trunc(Math.log10(Number.MIN_VALUE)); + +assertEq(Math.pow(10, maxExponent + 1), Infinity); +assertEq(Math.pow(10, minExponent - 1), 0); + +// Ensure the error is less than 2 ULP when compared to fdlibm. +for (let i = minExponent; i <= maxExponent; ++i) { + let actual = Math.pow(10, i); + let expected = fdlibm.pow(10, i); + let error = errorInULP(actual, expected); + + assertEq(error < 2, true, + `${10} ** ${i}: ${actual} (${toBits(actual).toString(16)}) != ${expected} (${toBits(expected).toString(16)})`); +} + +// Ensure the error is less than 2 ULP when compared to parsed string |1ep|. +for (let i = minExponent; i <= maxExponent; ++i) { + let actual = Math.pow(10, i); + let expected = Number("1e" + i); + let error = errorInULP(actual, expected); + + assertEq(error < 2, true, + `${10} ** ${i}: ${actual} (${toBits(actual).toString(16)}) != ${expected} (${toBits(expected).toString(16)})`); +} + +if (typeof reportCompare === "function") + reportCompare(true, true); diff --git a/js/src/tests/non262/Math/pow-approx.js b/js/src/tests/non262/Math/pow-approx.js new file mode 100644 index 0000000000..02e761d9c9 --- /dev/null +++ b/js/src/tests/non262/Math/pow-approx.js @@ -0,0 +1,568 @@ +if (typeof fdlibm === "undefined") { + var fdlibm = SpecialPowers.Cu.getJSTestingFunctions().fdlibm; +} + +if (typeof getBuildConfiguration === "undefined") { + var getBuildConfiguration = SpecialPowers.Cu.getJSTestingFunctions().getBuildConfiguration; +} + +const f64 = new Float64Array(1); +const ui64 = new BigUint64Array(f64.buffer); + +function toBits(n) { + f64[0] = n; + return ui64[0]; +} + +function errorInULP(actual, expected) { + // Handle NaN and +0/-0. + if (Object.is(actual, expected)) { + return 0; + } + + let x = toBits(actual); + let y = toBits(expected); + return x <= y ? Number(y - x) : Number(x - y); +} + +// Test methodology: +// +// Generate test cases for inputs where the original js::powi implementation +// returns a different result than std::pow. If such inputs where found, compare +// them against fdlibm::pow to find inputs where the error is larger than 1 ULP. +// +// Compile with: +// -std=c++17 -O3 -msse -msse2 -mfpmath=sse -fno-math-errno -fno-exceptions -fno-rtti -march=native +// +// static bool test(double x, int32_t y) { +// if (std::isnan(x)) { +// return true; +// } +// +// double t = js::powi(x, y); +// double u = std::pow(x, static_cast<double>(y)); +// if (t == u) { +// return true; +// } +// +// uint64_t a; +// std::memcpy(&a, &t, sizeof(double)); +// +// uint64_t b; +// std::memcpy(&b, &u, sizeof(double)); +// +// double v = fdlibm::pow(x, y); +// +// uint64_t c; +// std::memcpy(&c, &v, sizeof(double)); +// +// double w = musl::pow(x, y); +// +// uint64_t d; +// std::memcpy(&d, &w, sizeof(double)); +// +// // Expect at most 1 ULP difference between std::pow and fdlibm::pow. +// if ((b < c && c - b > 1) || (b > c && b - c > 1)) { +// printf("!!! [fdlibm] %.53f ** %d: 0x%" PRIx64 " != 0x%" PRIx64 "\n", x, y, b, c); +// exit(1); +// } +// +// // Expect at most 1 ULP difference between std::pow and musl::pow. +// if ((b < d && d - b > 1) || (b > d && b - d > 1)) { +// printf("!!! [musl] %.53f ** %d: 0x%" PRIx64 " != 0x%" PRIx64 "\n", x, y, b, d); +// exit(1); +// } +// +// // Accept 1 ULP difference between js::powi and fdlibm::pow. +// if ((a <= c && c - a <= 1) || (a >= c && a - c <= 1)) { +// return true; +// } +// +// // Output if a larger error was found. +// printf("%.53f ** %d: 0x%" PRIx64 " != 0x%" PRIx64 " (0x%" PRIx64 ") (0x%" PRIx64 ")\n", x, y, a, b, c, d); +// return false; +// } +// +// int main() { +// // Use mt19937 for reproducible results. +// std::mt19937_64 gen64; +// std::mt19937 gen32; +// +// for (uint64_t i = 0; i < 100'000'000'000; ++i) { +// uint64_t x = gen64(); +// int32_t y = gen32(); +// +// double f; +// std::memcpy(&f, &x, sizeof(double)); +// +// test(f, y); +// } +// } + +// Raw output: +// +// 0.99998738156596089776684266325901262462139129638671875 ** 38583256: 0x140854811fb319e7 != 0x140854811fe4d778 (0x140854811fe4d778) (0x140854811fe4d778) +// -0.99843469603485224261874009243911132216453552246093750 ** 326215: 0x91dad4716de6fc4b != 0x91dad4716de5e587 (0x91dad4716de5e588) (0x91dad4716de5e587) +// 0.00003722856305626354357250426541092735988058848306537 ** -33: 0x5e47357c3582e49e != 0x5e47357c3582e4a3 (0x5e47357c3582e4a3) (0x5e47357c3582e4a3) +// -0.99996909838479330900895547529216855764389038085937500 ** 17078527: 0x9058409e5ea3b80a != 0x9058409e5eb11ef4 (0x9058409e5eb11ef4) (0x9058409e5eb11ef4) +// 0.99992690642006631929206150743993930518627166748046875 ** -6725291: 0x6c42a167a8b7c0b2 != 0x6c42a167a8b81d0e (0x6c42a167a8b81d0e) (0x6c42a167a8b81d0e) +// -0.99879181217764612110698863034485839307308197021484375 ** 485128: 0xb0d9c6f2f710d24 != 0xb0d9c6f2f71708d (0xb0d9c6f2f71708d) (0xb0d9c6f2f71708d) +// -1.00560838484317760510577954846667125821113586425781250 ** 92252: 0x6e744b727536056b != 0x6e744b72753599a4 (0x6e744b72753599a4) (0x6e744b72753599a4) +// 0.99999532655875444930870798998512327671051025390625000 ** 93511912: 0x1886c29a53ed9332 != 0x1886c29a53cba724 (0x1886c29a53cba724) (0x1886c29a53cba724) +// -0.99989751779212987514711130643263459205627441406250000 ** -2864087: 0xda664b586d48712f != 0xda664b586d437e8c (0xda664b586d437e8c) (0xda664b586d437e8c) +// -239.35307289280868303649185691028833389282226562500000000 ** -90: 0x137a8b43006c4438 != 0x137a8b43006c443e (0x137a8b43006c443e) (0x137a8b43006c443e) +// 0.96128212369452570307259975379565730690956115722656250 ** -9670: 0x625d7eb275191f6f != 0x625d7eb2751920bf (0x625d7eb2751920c0) (0x625d7eb2751920bf) +// 0.99996078564218904283222855156054720282554626464843750 ** 10583765: 0x1a829de67930f619 != 0x1a829de67951cc2d (0x1a829de67951cc2d) (0x1a829de67951cc2d) +// -953.14032530394126752071315422654151916503906250000000000 ** 22: 0x4d8a6d863703112c != 0x4d8a6d863703112e (0x4d8a6d863703112e) (0x4d8a6d863703112e) +// 0.99857985216514444370972114484175108373165130615234375 ** 335918: 0x14e345eb84f09d46 != 0x14e345eb84f036f4 (0x14e345eb84f036f4) (0x14e345eb84f036f4) +// -1.20521595553711002857255607523256912827491760253906250 ** -2760: 0x117b0064dd165101 != 0x117b0064dd16511a (0x117b0064dd16511a) (0x117b0064dd16511a) +// -1.19074911947068473594413262617308646440505981445312500 ** 3884: 0x7d132c80ed6973f6 != 0x7d132c80ed697072 (0x7d132c80ed697072) (0x7d132c80ed697072) +// -0.99999908129426284819629699995857663452625274658203125 ** -172780371: 0xce400f20e4a13b1a != 0xce400f20e3e56454 (0xce400f20e3e56454) (0xce400f20e3e56454) +// -0.00000000000000000000000000007930552628950037082519209 ** 8: 0x1142888ad3062fc1 != 0x1142888ad3062fbe (0x1142888ad3062fbe) (0x1142888ad3062fbe) +// -0.99998583604065760521706351937609724700450897216796875 ** -5861784: 0x476b83d92617a928 != 0x476b83d9261b0d4e (0x476b83d9261b0d4e) (0x476b83d9261b0d4e) +// 0.99989915564587761309667257592082023620605468750000000 ** 5468367: 0xe34d25f36eef64b != 0xe34d25f36f555ca (0xe34d25f36f555ca) (0xe34d25f36f555ca) +// 0.99977805581863743444870351595454849302768707275390625 ** -130493: 0x428ba17ba9286df6 != 0x428ba17ba9282f94 (0x428ba17ba9282f94) (0x428ba17ba9282f94) +// 29.19821057723854806909002945758402347564697265625000000 ** -20: 0x39d8ffec76e30251 != 0x39d8ffec76e3024a (0x39d8ffec76e3024a) (0x39d8ffec76e3024a) +// 0.99985373283040668290766461723251268267631530761718750 ** 2345687: 0x20ff8c2fd8e5b4e0 != 0x20ff8c2fd8e00564 (0x20ff8c2fd8e00564) (0x20ff8c2fd8e00564) +// -0.88383265987178571965188211834174580872058868408203125 ** -841: 0xc94c6878de27b17c != 0xc94c6878de27b20d (0xc94c6878de27b20d) (0xc94c6878de27b20d) +// 0.99999589815682188298495702838408760726451873779296875 ** 72449292: 0x25233af2e809c6a6 != 0x25233af2e87ddc61 (0x25233af2e87ddc61) (0x25233af2e87ddc61) +// 345736476.13618659973144531250000000000000000000000000000000000 ** -16: 0x2391db755176ac1b != 0x2391db755176ac19 (0x2391db755176ac19) (0x2391db755176ac19) +// -0.99999307321818442506611290809814818203449249267578125 ** -55045397: 0xe250f3d69f25ec86 != 0xe250f3d69f03e875 (0xe250f3d69f03e875) (0xe250f3d69f03e875) +// 1419676.56599932140670716762542724609375000000000000000000000 ** 25: 0x5fde72aa74287c2d != 0x5fde72aa74287c30 (0x5fde72aa74287c30) (0x5fde72aa74287c30) +// 0.95797249286536323431562323094112798571586608886718750 ** -11483: 0x6c63b79e88c07b6f != 0x6c63b79e88c07a3f (0x6c63b79e88c07a3f) (0x6c63b79e88c07a3f) +// 0.99998135132609855535434917328529991209506988525390625 ** 5682278: 0x3661650feb28b969 != 0x3661650feb22b7ed (0x3661650feb22b7ed) (0x3661650feb22b7ed) +// -1.02020595459010832151136582979233935475349426269531250 ** -1668: 0x3ced0e90ddfec9a3 != 0x3ced0e90ddfecabc (0x3ced0e90ddfecabc) (0x3ced0e90ddfecabc) +// 0.97281701550260646360612781791132874786853790283203125 ** 13717: 0x1dd88a88f24fc0d5 != 0x1dd88a88f24fb801 (0x1dd88a88f24fb801) (0x1dd88a88f24fb801) +// -0.88724290003841266294415390802896581590175628662109375 ** -3437: 0xe502ab8ea591420d != 0xe502ab8ea5914139 (0xe502ab8ea5914139) (0xe502ab8ea5914139) +// -0.99998630320599690701754980182158760726451873779296875 ** -11251995: 0xcdd44ff462cfbf32 != 0xcdd44ff462dbdcb2 (0xcdd44ff462dbdcb2) (0xcdd44ff462dbdcb2) +// -0.99995743703658013235013868325040675699710845947265625 ** 13995099: 0x8a38604324e009d5 != 0x8a38604324c2ec7d (0x8a38604324c2ec7d) (0x8a38604324c2ec7d) +// 0.99991090354494038816568490801728330552577972412109375 ** 7116340: 0x6c2ca56237c8161 != 0x6c2ca562366c00b (0x6c2ca562366c00b) (0x6c2ca562366c00b) +// 0.00000022955540324908999561342678487341206761129797087 ** 27: 0x1ab703277bbb112d != 0x1ab703277bbb1131 (0x1ab703277bbb1130) (0x1ab703277bbb1131) +// -1.00000041289256280663266807096078991889953613281250000 ** -365287834: 0x3255339a24caec8a != 0x3255339a26f00dc8 (0x3255339a26f00dc8) (0x3255339a26f00dc8) +// -1.38949508997780957209045027411775663495063781738281250 ** 1996: 0x7b22ad71344bbd0b != 0x7b22ad71344bbddf (0x7b22ad71344bbddf) (0x7b22ad71344bbddf) +// 0.99999867528282249118376512342365458607673645019531250 ** 164253172: 0x2c50f93fbc72a2b4 != 0x2c50f93fbb2d2fd4 (0x2c50f93fbb2d2fd4) (0x2c50f93fbb2d2fd4) +// 1.00356688770562074708436739456374198198318481445312500 ** -141698: 0x12717fb35c5fd169 != 0x12717fb35c5ff8c8 (0x12717fb35c5ff8c8) (0x12717fb35c5ff8c8) +// 368710687472107.18750000000000000000000000000000000000000000000000000 ** -20: 0x37282f0ae9be13c != 0x37282f0ae9be138 (0x37282f0ae9be138) (0x37282f0ae9be138) +// 0.99246668780181890312519499275367707014083862304687500 ** -44617: 0x5e5ad2c000333e50 != 0x5e5ad2c0003351f5 (0x5e5ad2c0003351f5) (0x5e5ad2c0003351f5) +// 1.13820783188362395499382273555966094136238098144531250 ** 1411: 0x506701df16f3a891 != 0x506701df16f3a70d (0x506701df16f3a70d) (0x506701df16f3a70d) +// -0.99671841783028414241130121808964759111404418945312500 ** 97041: 0xa32c44e6e77f8d3b != 0xa32c44e6e77f6a7a (0xa32c44e6e77f6a7a) (0xa32c44e6e77f6a7a) +// -0.57021831816264889614132016504299826920032501220703125 ** -802: 0x688ef2cc36fa60b3 != 0x688ef2cc36fa6064 (0x688ef2cc36fa6064) (0x688ef2cc36fa6064) +// -0.97423450510790443601649712945800274610519409179687500 ** 23570: 0x874c760d601ec94 != 0x874c760d601e66f (0x874c760d601e66f) (0x874c760d601e66f) +// -0.98067196425761504752216524138930253684520721435546875 ** -19882: 0x62ec606ceb9af0ae != 0x62ec606ceb9ae89c (0x62ec606ceb9ae89c) (0x62ec606ceb9ae89c) +// 0.99683039770073134100414335989626124501228332519531250 ** -29823: 0x487816b919332b03 != 0x487816b919333fe4 (0x487816b919333fe4) (0x487816b919333fe4) +// 0.99882797644578258378089685720624402165412902832031250 ** -540990: 0x792372efd5ca5ad2 != 0x792372efd5c92857 (0x792372efd5c92857) (0x792372efd5c92857) + +const testCases = [ + [0.99998738156596089776684266325901262462139129638671875 , 38583256], + [-0.99843469603485224261874009243911132216453552246093750 , 326215], + [0.00003722856305626354357250426541092735988058848306537 , -33], + [-0.99996909838479330900895547529216855764389038085937500 , 17078527], + [0.99992690642006631929206150743993930518627166748046875 , -6725291], + [-0.99879181217764612110698863034485839307308197021484375 , 485128], + [-1.00560838484317760510577954846667125821113586425781250 , 92252], + [0.99999532655875444930870798998512327671051025390625000 , 93511912], + [-0.99989751779212987514711130643263459205627441406250000 , -2864087], + [-239.35307289280868303649185691028833389282226562500000000 , -90], + [0.96128212369452570307259975379565730690956115722656250 , -9670], + [0.99996078564218904283222855156054720282554626464843750 , 10583765], + [-953.14032530394126752071315422654151916503906250000000000 , 22], + [0.99857985216514444370972114484175108373165130615234375 , 335918], + [-1.20521595553711002857255607523256912827491760253906250 , -2760], + [-1.19074911947068473594413262617308646440505981445312500 , 3884], + [-0.99999908129426284819629699995857663452625274658203125 , -172780371], + [-0.00000000000000000000000000007930552628950037082519209 , 8], + [-0.99998583604065760521706351937609724700450897216796875 , -5861784], + [0.99989915564587761309667257592082023620605468750000000 , 5468367], + [0.99977805581863743444870351595454849302768707275390625 , -130493], + [29.19821057723854806909002945758402347564697265625000000 , -20], + [0.99985373283040668290766461723251268267631530761718750 , 2345687], + [-0.88383265987178571965188211834174580872058868408203125 , -841], + [0.99999589815682188298495702838408760726451873779296875 , 72449292], + [345736476.13618659973144531250000000000000000000000000000000000 , -16], + [-0.99999307321818442506611290809814818203449249267578125 , -55045397], + [1419676.56599932140670716762542724609375000000000000000000000 , 25], + [0.95797249286536323431562323094112798571586608886718750 , -11483], + [0.99998135132609855535434917328529991209506988525390625 , 5682278], + [-1.02020595459010832151136582979233935475349426269531250 , -1668], + [0.97281701550260646360612781791132874786853790283203125 , 13717], + [-0.88724290003841266294415390802896581590175628662109375 , -3437], + [-0.99998630320599690701754980182158760726451873779296875 , -11251995], + [-0.99995743703658013235013868325040675699710845947265625 , 13995099], + [0.99991090354494038816568490801728330552577972412109375 , 7116340], + [0.00000022955540324908999561342678487341206761129797087 , 27], + [-1.00000041289256280663266807096078991889953613281250000 , -365287834], + [-1.38949508997780957209045027411775663495063781738281250 , 1996], + [0.99999867528282249118376512342365458607673645019531250 , 164253172], + [1.00356688770562074708436739456374198198318481445312500 , -141698], + [368710687472107.18750000000000000000000000000000000000000000000000000 , -20], + [0.99246668780181890312519499275367707014083862304687500 , -44617], + [1.13820783188362395499382273555966094136238098144531250 , 1411], + [-0.99671841783028414241130121808964759111404418945312500 , 97041], + [-0.57021831816264889614132016504299826920032501220703125 , -802], + [-0.97423450510790443601649712945800274610519409179687500 , 23570], + [-0.98067196425761504752216524138930253684520721435546875 , -19882], + [0.99683039770073134100414335989626124501228332519531250 , -29823], + [0.99882797644578258378089685720624402165412902832031250 , -540990], +]; + +// Test program modified to avoid bases with |abs(x) < 1| and large exponents. +// +// ```cpp +// // Skip over likely denormals. +// if (-1 < f && f < 0) { +// f -= 1; +// } else if (0 < f && f < 1) { +// f += 1; +// } +// +// // Keep the power small. +// y &= 63; +// ``` +// +// 7.86990183266223297664510027971118688583374023437500000 ** 54: 0x49fa67548289784a != 0x49fa675482897851 (0x49fa675482897850) (0x49fa675482897851) +// -1.00000018751738117828153917798772454261779785156250000 ** 25: 0xbff00004ea6921f6 != 0xbff00004ea6921fc (0xbff00004ea6921fc) (0xbff00004ea6921fc) +// 1.19908234423429393977755808009533211588859558105468750 ** 58: 0x40e246fe7b30c6ec != 0x40e246fe7b30c6e6 (0x40e246fe7b30c6e6) (0x40e246fe7b30c6e6) +// 1.00000649317438283780745678086532279849052429199218750 ** 42: 0x3ff0011dffabb95c != 0x3ff0011dffabb950 (0x3ff0011dffabb950) (0x3ff0011dffabb950) +// 863370098.16819441318511962890625000000000000000000000000000000 ** 27: 0x7206b860614eb6df != 0x7206b860614eb6d9 (0x7206b860614eb6d9) (0x7206b860614eb6d9) +// -1.00011928123711690830077714053913950920104980468750000 ** 57: 0xbff01bf129d0ffab != 0xbff01bf129d0ffbf (0xbff01bf129d0ffbf) (0xbff01bf129d0ffbf) +// -1.14006037237328494704513559554470703005790710449218750 ** 30: 0x404983fd4d57c4aa != 0x404983fd4d57c4a0 (0x404983fd4d57c4a0) (0x404983fd4d57c4a0) +// -447.11057737163486081044538877904415130615234375000000000 ** 8: 0x4455a4e4be220fce != 0x4455a4e4be220fd0 (0x4455a4e4be220fd0) (0x4455a4e4be220fd0) +// -1.03656507831253685836259137431625276803970336914062500 ** 20: 0x4000681e0886d6db != 0x4000681e0886d6d9 (0x4000681e0886d6d9) (0x4000681e0886d6d9) +// -1.00000465330344945336094042431795969605445861816406250 ** 41: 0xbff000c81257efc1 != 0xbff000c81257efc6 (0xbff000c81257efc6) (0xbff000c81257efc6) +// -1.00002726631492944164847358479164540767669677734375000 ** 14: 0x3ff00190579a2f93 != 0x3ff00190579a2f90 (0x3ff00190579a2f90) (0x3ff00190579a2f90) +// 2512068.57641875604167580604553222656250000000000000000000000 ** 26: 0x627b50512391a46e != 0x627b50512391a46c (0x627b50512391a46c) (0x627b50512391a46c) +// 3309586784.85019683837890625000000000000000000000000000000000000 ** 30: 0x7b3a5b69a3a40717 != 0x7b3a5b69a3a40719 (0x7b3a5b69a3a40719) (0x7b3a5b69a3a40719) +// 1.40742719307547781149025922786677256226539611816406250 ** 19: 0x4084a6ad66b5f1ce != 0x4084a6ad66b5f1d1 (0x4084a6ad66b5f1d0) (0x4084a6ad66b5f1d1) +// 1.00035740860596344958821646287105977535247802734375000 ** 36: 0x3ff0350873b3189e != 0x3ff0350873b318a0 (0x3ff0350873b318a0) (0x3ff0350873b318a0) +testCases.push( + [7.86990183266223297664510027971118688583374023437500000 , 54], + [-1.00000018751738117828153917798772454261779785156250000 , 25], + [1.19908234423429393977755808009533211588859558105468750 , 58], + [1.00000649317438283780745678086532279849052429199218750 , 42], + [863370098.16819441318511962890625000000000000000000000000000000 , 27], + [-1.00011928123711690830077714053913950920104980468750000 , 57], + [-1.14006037237328494704513559554470703005790710449218750 , 30], + [-447.11057737163486081044538877904415130615234375000000000 , 8], + [-1.03656507831253685836259137431625276803970336914062500 , 20], + [-1.00000465330344945336094042431795969605445861816406250 , 41], + [-1.00002726631492944164847358479164540767669677734375000 , 14], + [2512068.57641875604167580604553222656250000000000000000000000 , 26], + [3309586784.85019683837890625000000000000000000000000000000000000 , 30], + [1.40742719307547781149025922786677256226539611816406250 , 19], + [1.00035740860596344958821646287105977535247802734375000 , 36], +); + +// Test program modified to only use small integer bases (< 20) and positive exponents. +// +// ```cpp +// f = static_cast<double>(x); +// f = std::fmod(f, 20); +// y &= 63; +// ``` +// +// 13.00000000000000000000000000000000000000000000000000000 ** 31: 0x471a3d23b248d522 != 0x471a3d23b248d520 (0x471a3d23b248d520) (0x471a3d23b248d520) +// 13.00000000000000000000000000000000000000000000000000000 ** 41: 0x496a51a4d0054bb2 != 0x496a51a4d0054bb1 (0x496a51a4d0054bb0) (0x496a51a4d0054bb1) +// 13.00000000000000000000000000000000000000000000000000000 ** 51: 0x4bba6635f3af40fa != 0x4bba6635f3af40f8 (0x4bba6635f3af40f8) (0x4bba6635f3af40f8) +// 13.00000000000000000000000000000000000000000000000000000 ** 58: 0x4d58af19e7576d60 != 0x4d58af19e7576d5e (0x4d58af19e7576d5e) (0x4d58af19e7576d5e) +// 13.00000000000000000000000000000000000000000000000000000 ** 63: 0x4e817b180a97c789 != 0x4e817b180a97c787 (0x4e817b180a97c787) (0x4e817b180a97c787) +// 11.00000000000000000000000000000000000000000000000000000 ** 63: 0x4d8ec9288a0088ce != 0x4d8ec9288a0088d0 (0x4d8ec9288a0088d0) (0x4d8ec9288a0088d0) +// 13.00000000000000000000000000000000000000000000000000000 ** 47: 0x4ace49afd4c20163 != 0x4ace49afd4c20161 (0x4ace49afd4c20161) (0x4ace49afd4c20161) +// 13.00000000000000000000000000000000000000000000000000000 ** 41: 0x496a51a4d0054bb2 != 0x496a51a4d0054bb1 (0x496a51a4d0054bb0) (0x496a51a4d0054bb1) +// 13.00000000000000000000000000000000000000000000000000000 ** 63: 0x4e817b180a97c789 != 0x4e817b180a97c787 (0x4e817b180a97c787) (0x4e817b180a97c787) +// 13.00000000000000000000000000000000000000000000000000000 ** 31: 0x471a3d23b248d522 != 0x471a3d23b248d520 (0x471a3d23b248d520) (0x471a3d23b248d520) +// 13.00000000000000000000000000000000000000000000000000000 ** 49: 0x4b43fea5137412eb != 0x4b43fea5137412e9 (0x4b43fea5137412e9) (0x4b43fea5137412e9) +// 13.00000000000000000000000000000000000000000000000000000 ** 58: 0x4d58af19e7576d60 != 0x4d58af19e7576d5e (0x4d58af19e7576d5e) (0x4d58af19e7576d5e) +// 13.00000000000000000000000000000000000000000000000000000 ** 31: 0x471a3d23b248d522 != 0x471a3d23b248d520 (0x471a3d23b248d520) (0x471a3d23b248d520) +// 11.00000000000000000000000000000000000000000000000000000 ** 63: 0x4d8ec9288a0088ce != 0x4d8ec9288a0088d0 (0x4d8ec9288a0088d0) (0x4d8ec9288a0088d0) +// 13.00000000000000000000000000000000000000000000000000000 ** 31: 0x471a3d23b248d522 != 0x471a3d23b248d520 (0x471a3d23b248d520) (0x471a3d23b248d520) +testCases.push( + [13.00000000000000000000000000000000000000000000000000000 , 31], + [13.00000000000000000000000000000000000000000000000000000 , 41], + [13.00000000000000000000000000000000000000000000000000000 , 51], + [13.00000000000000000000000000000000000000000000000000000 , 58], + [13.00000000000000000000000000000000000000000000000000000 , 63], + [11.00000000000000000000000000000000000000000000000000000 , 63], + [13.00000000000000000000000000000000000000000000000000000 , 47], + [13.00000000000000000000000000000000000000000000000000000 , 41], + [13.00000000000000000000000000000000000000000000000000000 , 63], + [13.00000000000000000000000000000000000000000000000000000 , 31], + [13.00000000000000000000000000000000000000000000000000000 , 49], + [13.00000000000000000000000000000000000000000000000000000 , 58], + [13.00000000000000000000000000000000000000000000000000000 , 31], + [11.00000000000000000000000000000000000000000000000000000 , 63], + [13.00000000000000000000000000000000000000000000000000000 , 31], +); + +// Test program modified to only use small integer bases (< 20) and negative exponents. +// +// ```cpp +// f = static_cast<double>(x); +// f = std::fmod(f, 20); +// y &= 63; +// y = -y; +// ``` +// +// 14.00000000000000000000000000000000000000000000000000000 ** -57: 0x325f938745f05e58 != 0x325f938745f05e5a (0x325f938745f05e5a) (0x325f938745f05e5a) +// 11.00000000000000000000000000000000000000000000000000000 ** -53: 0x34791bddc7b3025a != 0x34791bddc7b30259 (0x34791bddc7b30258) (0x34791bddc7b30259) +// 7.00000000000000000000000000000000000000000000000000000 ** -57: 0x35ef938745f05e58 != 0x35ef938745f05e5a (0x35ef938745f05e5a) (0x35ef938745f05e5a) +// 15.00000000000000000000000000000000000000000000000000000 ** -50: 0x33b933babb6d9cd8 != 0x33b933babb6d9cda (0x33b933babb6d9cda) (0x33b933babb6d9cda) +// 14.00000000000000000000000000000000000000000000000000000 ** -57: 0x325f938745f05e58 != 0x325f938745f05e5a (0x325f938745f05e5a) (0x325f938745f05e5a) +// 13.00000000000000000000000000000000000000000000000000000 ** -33: 0x384d8ee9f0edfd7c != 0x384d8ee9f0edfd7d (0x384d8ee9f0edfd7e) (0x384d8ee9f0edfd7d) +// 19.00000000000000000000000000000000000000000000000000000 ** -53: 0x31dd0994e8aaf4e0 != 0x31dd0994e8aaf4e1 (0x31dd0994e8aaf4e2) (0x31dd0994e8aaf4e1) +// 15.00000000000000000000000000000000000000000000000000000 ** -50: 0x33b933babb6d9cd8 != 0x33b933babb6d9cda (0x33b933babb6d9cda) (0x33b933babb6d9cda) +// 14.00000000000000000000000000000000000000000000000000000 ** -57: 0x325f938745f05e58 != 0x325f938745f05e5a (0x325f938745f05e5a) (0x325f938745f05e5a) +// 13.00000000000000000000000000000000000000000000000000000 ** -63: 0x315d4a0a2c8d4bd8 != 0x315d4a0a2c8d4bdb (0x315d4a0a2c8d4bdb) (0x315d4a0a2c8d4bdb) +// 11.00000000000000000000000000000000000000000000000000000 ** -53: 0x34791bddc7b3025a != 0x34791bddc7b30259 (0x34791bddc7b30258) (0x34791bddc7b30259) +// 15.00000000000000000000000000000000000000000000000000000 ** -50: 0x33b933babb6d9cd8 != 0x33b933babb6d9cda (0x33b933babb6d9cda) (0x33b933babb6d9cda) +// 13.00000000000000000000000000000000000000000000000000000 ** -53: 0x33ad60ed868e2926 != 0x33ad60ed868e2928 (0x33ad60ed868e2928) (0x33ad60ed868e2928) +// 19.00000000000000000000000000000000000000000000000000000 ** -53: 0x31dd0994e8aaf4e0 != 0x31dd0994e8aaf4e1 (0x31dd0994e8aaf4e2) (0x31dd0994e8aaf4e1) +// 13.00000000000000000000000000000000000000000000000000000 ** -33: 0x384d8ee9f0edfd7c != 0x384d8ee9f0edfd7d (0x384d8ee9f0edfd7e) (0x384d8ee9f0edfd7d) +testCases.push( + [14.00000000000000000000000000000000000000000000000000000 , -57], + [11.00000000000000000000000000000000000000000000000000000 , -53], + [7.00000000000000000000000000000000000000000000000000000 , -57], + [15.00000000000000000000000000000000000000000000000000000 , -50], + [14.00000000000000000000000000000000000000000000000000000 , -57], + [13.00000000000000000000000000000000000000000000000000000 , -33], + [19.00000000000000000000000000000000000000000000000000000 , -53], + [15.00000000000000000000000000000000000000000000000000000 , -50], + [14.00000000000000000000000000000000000000000000000000000 , -57], + [13.00000000000000000000000000000000000000000000000000000 , -63], + [11.00000000000000000000000000000000000000000000000000000 , -53], + [15.00000000000000000000000000000000000000000000000000000 , -50], + [13.00000000000000000000000000000000000000000000000000000 , -53], + [19.00000000000000000000000000000000000000000000000000000 , -53], + [13.00000000000000000000000000000000000000000000000000000 , -33], +); + +// std::pow is less precise on Windows. +const maxError = getBuildConfiguration().windows ? 3 : 1; + +// Ensure the error is less-or-equal to |maxError| ULP when compared to fdlibm. +for (let [x, y] of testCases) { + let actual = Math.pow(x, y); + let expected = fdlibm.pow(x, y); + let error = errorInULP(actual, expected); + + assertEq(error <= maxError, true, + `${x} ** ${y}: ${actual} (${toBits(actual).toString(16)}) != ${expected} (${toBits(expected).toString(16)})`); +} + +// Test program modified to use 4 as the exponent: +// +// ```cpp +// y = 4; +// ``` +// +// -0.00000000000000000000000000000749666789562697097993956 ** 4: 0x27bfdbe3cf0b7e1d != 0x27bfdbe3cf0b7e1b (0x27bfdbe3cf0b7e1b) (0x27bfdbe3cf0b7e1b) +// 0.00000000000000000000000000000000000000000000000000000 ** 4: 0xd3e1e77bd0d8f5d != 0xd3e1e77bd0d8f5f (0xd3e1e77bd0d8f5f) (0xd3e1e77bd0d8f5f) +// -0.00000000000000000000000000023705601542216470968966009 ** 4: 0x28fe60d2f5131d02 != 0x28fe60d2f5131d04 (0x28fe60d2f5131d04) (0x28fe60d2f5131d04) +// 0.00000000000000000000000000000000000000000000000000441 ** 4: 0x161dad0fa681c66c != 0x161dad0fa681c66b (0x161dad0fa681c66a) (0x161dad0fa681c66b) +// 0.00000000000000537255761599995092558925668894011631095 ** 4: 0x3414eb4baea214b6 != 0x3414eb4baea214b5 (0x3414eb4baea214b4) (0x3414eb4baea214b5) +// 0.01225688384384779339164595057809492573142051696777344 ** 4: 0x3e583bd550871dfc != 0x3e583bd550871dfd (0x3e583bd550871dfe) (0x3e583bd550871dfd) +// -0.00000000000000000000000000000000000000000000000000000 ** 4: 0xa59292360f6d326 != 0xa59292360f6d324 (0xa59292360f6d324) (0xa59292360f6d324) +// -0.00000000000000000000000000000000000000000000000000000 ** 4: 0x109fb7a8459811ec != 0x109fb7a8459811ed (0x109fb7a8459811ee) (0x109fb7a8459811ed) +// -120834175976112453093144522854609799898808186321228136949237230085114691584.00000000000000000000000000000000000000000000000000000 ** 4: 0x7d74dcc37a2d7dc2 != 0x7d74dcc37a2d7dc3 (0x7d74dcc37a2d7dc4) (0x7d74dcc37a2d7dc3) +// -6676.83140968165753292851150035858154296875000000000000000 ** 4: 0x431c3e0ef48fe66a != 0x431c3e0ef48fe66c (0x431c3e0ef48fe66c) (0x431c3e0ef48fe66c) +// -0.00000000000000000000000000000000000000000000039753861 ** 4: 0x1a3a87f39f288766 != 0x1a3a87f39f288764 (0x1a3a87f39f288764) (0x1a3a87f39f288764) +// 129749516186492032220917661696.00000000000000000000000000000000000000000000000000000 ** 4: 0x581cc58a512bdd10 != 0x581cc58a512bdd12 (0x581cc58a512bdd12) (0x581cc58a512bdd12) +// -1888635225450734959219733085647207705818299180319259746124169216.00000000000000000000000000000000000000000000000000000 ** 4: 0x747bc423aba49de6 != 0x747bc423aba49de5 (0x747bc423aba49de4) (0x747bc423aba49de5) +// 7934926680560039158281691725824.00000000000000000000000000000000000000000000000000000 ** 4: 0x5997fceb5eed5c94 != 0x5997fceb5eed5c93 (0x5997fceb5eed5c92) (0x5997fceb5eed5c93) +// -0.00000000000000579868166379701264244398310517312073637 ** 4: 0x341c635a1a764ef2 != 0x341c635a1a764ef0 (0x341c635a1a764ef0) (0x341c635a1a764ef0) +// +// +// Test program modified to avoid bases with |abs(x) < 1| and large exponents. +// +// ```cpp +// // Skip over likely denormals. +// if (-1 < f && f < 0) { +// f -= 1; +// } else if (0 < f && f < 1) { +// f += 1; +// } +// +// f = std::fmod(f, 20); +// +// y = 4; +// ``` +// +// 4.73347349464893341064453125000000000000000000000000000 ** 4: 0x407f604c239c2323 != 0x407f604c239c2321 (0x407f604c239c2321) (0x407f604c239c2321) +// -12.35635152040049433708190917968750000000000000000000000 ** 4: 0x40d6c3c0652f0948 != 0x40d6c3c0652f0949 (0x40d6c3c0652f094a) (0x40d6c3c0652f0949) +// -1.50385549572482823954544528533006086945533752441406250 ** 4: 0x40147581145bc6e6 != 0x40147581145bc6e7 (0x40147581145bc6e8) (0x40147581145bc6e7) +// -8.93048901623114943504333496093750000000000000000000000 ** 4: 0x40b8d8a463c28bd6 != 0x40b8d8a463c28bd7 (0x40b8d8a463c28bd8) (0x40b8d8a463c28bd7) +// 19.02711385915608843788504600524902343750000000000000000 ** 4: 0x40ffffa7d5df2562 != 0x40ffffa7d5df2560 (0x40ffffa7d5df2560) (0x40ffffa7d5df2560) +// 17.83878016096969076897948980331420898437500000000000000 ** 4: 0x40f8b914a6acb498 != 0x40f8b914a6acb497 (0x40f8b914a6acb496) (0x40f8b914a6acb497) +// 12.90541613101959228515625000000000000000000000000000000 ** 4: 0x40db16b4c2dafa0a != 0x40db16b4c2dafa0c (0x40db16b4c2dafa0c) (0x40db16b4c2dafa0c) +// -18.34655402903445065021514892578125000000000000000000000 ** 4: 0x40fba90e5b7bbc6a != 0x40fba90e5b7bbc6b (0x40fba90e5b7bbc6c) (0x40fba90e5b7bbc6b) +// -13.28634420270100235939025878906250000000000000000000000 ** 4: 0x40de6e70b9ed821a != 0x40de6e70b9ed821c (0x40de6e70b9ed821c) (0x40de6e70b9ed821c) +// 18.52965961024165153503417968750000000000000000000000000 ** 4: 0x40fcc800b850b01a != 0x40fcc800b850b018 (0x40fcc800b850b018) (0x40fcc800b850b018) +// 13.32226210648514097556471824645996093750000000000000000 ** 4: 0x40dec3063a559350 != 0x40dec3063a55934e (0x40dec3063a55934e) (0x40dec3063a55934e) +// 1.09174693829848346027233674249146133661270141601562500 ** 4: 0x3ff6bafe5bbe7532 != 0x3ff6bafe5bbe7533 (0x3ff6bafe5bbe7534) (0x3ff6bafe5bbe7533) +// 9.35059530444141273619607090950012207031250000000000000 ** 4: 0x40bddca3dd9f5c8f != 0x40bddca3dd9f5c91 (0x40bddca3dd9f5c91) (0x40bddca3dd9f5c91) +// 17.59552449546754360198974609375000000000000000000000000 ** 4: 0x40f766db2706f434 != 0x40f766db2706f435 (0x40f766db2706f436) (0x40f766db2706f435) +// 17.94561576098203659057617187500000000000000000000000000 ** 4: 0x40f952110041965c != 0x40f952110041965a (0x40f952110041965a) (0x40f952110041965a) +const testCases4 = [ + [-0.00000000000000000000000000000749666789562697097993956 , 4], + [0.00000000000000000000000000000000000000000000000000000 , 4], + [-0.00000000000000000000000000023705601542216470968966009 , 4], + [0.00000000000000000000000000000000000000000000000000441 , 4], + [0.00000000000000537255761599995092558925668894011631095 , 4], + [0.01225688384384779339164595057809492573142051696777344 , 4], + [-0.00000000000000000000000000000000000000000000000000000 , 4], + [-0.00000000000000000000000000000000000000000000000000000 , 4], + [-120834175976112453093144522854609799898808186321228136949237230085114691584.00000000000000000000000000000000000000000000000000000 , 4], + [-6676.83140968165753292851150035858154296875000000000000000 , 4], + [-0.00000000000000000000000000000000000000000000039753861 , 4], + [129749516186492032220917661696.00000000000000000000000000000000000000000000000000000 , 4], + [-1888635225450734959219733085647207705818299180319259746124169216.00000000000000000000000000000000000000000000000000000 , 4], + [7934926680560039158281691725824.00000000000000000000000000000000000000000000000000000 , 4], + [-0.00000000000000579868166379701264244398310517312073637 , 4], + + [4.73347349464893341064453125000000000000000000000000000 , 4], + [-12.35635152040049433708190917968750000000000000000000000 , 4], + [-1.50385549572482823954544528533006086945533752441406250 , 4], + [-8.93048901623114943504333496093750000000000000000000000 , 4], + [19.02711385915608843788504600524902343750000000000000000 , 4], + [17.83878016096969076897948980331420898437500000000000000 , 4], + [12.90541613101959228515625000000000000000000000000000000 , 4], + [-18.34655402903445065021514892578125000000000000000000000 , 4], + [-13.28634420270100235939025878906250000000000000000000000 , 4], + [18.52965961024165153503417968750000000000000000000000000 , 4], + [13.32226210648514097556471824645996093750000000000000000 , 4], + [1.09174693829848346027233674249146133661270141601562500 , 4], + [9.35059530444141273619607090950012207031250000000000000 , 4], + [17.59552449546754360198974609375000000000000000000000000 , 4], + [17.94561576098203659057617187500000000000000000000000000 , 4], +]; + +// Ensure the error is less-or-equal to 2 ULP when compared to fdlibm. +// +// This can produce a larger error than std::pow, because we evaluate +// |x ** 4| as |(x * x) * (x * x)| to match Ion. +for (let [x, y] of testCases4) { + let actual = Math.pow(x, y); + let expected = fdlibm.pow(x, y); + let error = errorInULP(actual, expected); + assertEq(error <= 2, true, + `${x} ** ${y}: ${actual} (${toBits(actual).toString(16)}) != ${expected} (${toBits(expected).toString(16)})`); +} + +for (let [x, y] of testCases4) { + // Replace |y| with a constant to trigger Ion optimisations. + let actual = Math.pow(x, 4); + let expected = fdlibm.pow(x, y); + let error = errorInULP(actual, expected); + assertEq(error <= 2, true, + `${x} ** ${y}: ${actual} (${toBits(actual).toString(16)}) != ${expected} (${toBits(expected).toString(16)})`); +} + +// Test program modified to use 3 as the exponent: +// +// ```cpp +// y = 3; +// ``` +// +// 196194373276.42089843750000000000000000000000000000000000000000000 ** 3: 0x46f745720bc58e22 != 0x46f745720bc58e23 (0x46f745720bc58e24) (0x46f745720bc58e23) +// 17260025115986696435331651385474892363490876322742272.00000000000000000000000000000000000000000000000000000 ** 3: 0x6077f8040eb542fc != 0x6077f8040eb542fb (0x6077f8040eb542fa) (0x6077f8040eb542fb) +// -0.00000000000000000000000000000000000000000000000000000 ** 3: 0x9307c17ddf2c4af6 != 0x9307c17ddf2c4af7 (0x9307c17ddf2c4af8) (0x9307c17ddf2c4af7) +// 2359506498398344427475761591701240715936602989985583832867274752.00000000000000000000000000000000000000000000000000000 ** 3: 0x6767960b1076dc24 != 0x6767960b1076dc25 (0x6767960b1076dc26) (0x6767960b1076dc25) +// 22724457948673043906745552566513068013978508710758109286797554897659283949989408425377792.00000000000000000000000000000000000000000000000000000 ** 3: 0x76f74ab82115b372 != 0x76f74ab82115b373 (0x76f74ab82115b374) (0x76f74ab82115b373) +// -1024872849611580448634200763411882795753013248.00000000000000000000000000000000000000000000000000000 ** 3: 0xdbf7b2694dce1d6c != 0xdbf7b2694dce1d6b (0xdbf7b2694dce1d6a) (0xdbf7b2694dce1d6b) +// -918435268181356203923125447950336.00000000000000000000000000000000000000000000000000000 ** 3: 0xd476ab3173dbfcc0 != 0xd476ab3173dbfcbf (0xd476ab3173dbfcbe) (0xd476ab3173dbfcbf) +// 558545783776545344834655968246618719333738303286453207040.00000000000000000000000000000000000000000000000000000 ** 3: 0x634716045b3ee61c != 0x634716045b3ee61b (0x634716045b3ee61a) (0x634716045b3ee61b) +// 0.00000000000000000000000000000000000000000000000000000 ** 3: 0x1c6f3bddc90315c != 0x1c6f3bddc90315b (0x1c6f3bddc90315a) (0x1c6f3bddc90315b) +// -0.00000000000261062225071774409619236799548496917242058 ** 3: 0xb8b7a667f8b6344e != 0xb8b7a667f8b6344f (0xb8b7a667f8b63450) (0xb8b7a667f8b6344f) +// 0.00000000000000000000000000000000000000000000012475377 ** 3: 0x23571f25316bb01e != 0x23571f25316bb01f (0x23571f25316bb020) (0x23571f25316bb01f) +// -0.00000000000000000000000000000000000000000000000000000 ** 3: 0x93f6c04c12acc76c != 0x93f6c04c12acc76d (0x93f6c04c12acc76e) (0x93f6c04c12acc76d) +// 0.00000000000000000000000000000000000000000000000000000 ** 3: 0x676eb3aa0a63236 != 0x676eb3aa0a63237 (0x676eb3aa0a63238) (0x676eb3aa0a63237) +// 0.00000000000000000000000007454937961610833261396029146 ** 3: 0x3047fcbe59481112 != 0x3047fcbe59481111 (0x3047fcbe59481110) (0x3047fcbe59481111) +// 0.00000000000000000000000000000000000003326770580987513 ** 3: 0x2896aaec8bb845c8 != 0x2896aaec8bb845c9 (0x2896aaec8bb845ca) (0x2896aaec8bb845c9) +// +// +// Test program modified to avoid bases with |abs(x) < 1| and large exponents. +// +// ```cpp +// // Skip over likely denormals. +// if (-1 < f && f < 0) { +// f -= 1; +// } else if (0 < f && f < 1) { +// f += 1; +// } +// +// f = std::fmod(f, 20); +// +// y = 3; +// ``` +// +// -11.40858423709869384765625000000000000000000000000000000 ** 3: 0xc0973392c88cadcc != 0xc0973392c88cadcd (0xc0973392c88cadce) (0xc0973392c88cadcd) +// 11.42477834224700927734375000000000000000000000000000000 ** 3: 0x40974ce701d58518 != 0x40974ce701d58519 (0x40974ce701d5851a) (0x40974ce701d58519) +// -11.46123231985238533070514677092432975769042968750000000 ** 3: 0xc097862ed0211e58 != 0xc097862ed0211e59 (0xc097862ed0211e5a) (0xc097862ed0211e59) +// -11.40183842182159423828125000000000000000000000000000000 ** 3: 0xc097290b23fe8cdc != 0xc097290b23fe8cdd (0xc097290b23fe8cde) (0xc097290b23fe8cdd) +// 2.87109172078278795936512324260547757148742675781250000 ** 3: 0x4037aab95517cdd0 != 0x4037aab95517cdcf (0x4037aab95517cdce) (0x4037aab95517cdcf) +// -0.72109144181013107299804687500000000000000000000000000 ** 3: 0xbfd7ff25d4fd46bc != 0xbfd7ff25d4fd46bd (0xbfd7ff25d4fd46be) (0xbfd7ff25d4fd46bd) +// 5.70116788148880004882812500000000000000000000000000000 ** 3: 0x406729d1c53687b4 != 0x406729d1c53687b5 (0x406729d1c53687b6) (0x406729d1c53687b5) +// -11.32285048566092200417187996208667755126953125000000000 ** 3: 0xc096aeac14d25c0e != 0xc096aeac14d25c0f (0xc096aeac14d25c10) (0xc096aeac14d25c0f) +// 1.41961999237537384033203125000000000000000000000000000 ** 3: 0x4006e34ea8957732 != 0x4006e34ea8957733 (0x4006e34ea8957734) (0x4006e34ea8957733) +// -11.52091628707762538397219032049179077148437500000000000 ** 3: 0xc097e4c12ab5e96e != 0xc097e4c12ab5e96f (0xc097e4c12ab5e970) (0xc097e4c12ab5e96f) +// -5.73415940999984741210937500000000000000000000000000000 ** 3: 0xc067915c3febbeba != 0xc067915c3febbebb (0xc067915c3febbebc) (0xc067915c3febbebb) +// 1.41478560105390638312883311300538480281829833984375000 ** 3: 0x4006a7a69b402738 != 0x4006a7a69b402737 (0x4006a7a69b402736) (0x4006a7a69b402737) +// -2.88328036665916442871093750000000000000000000000000000 ** 3: 0xc037f8371e1d17ce != 0xc037f8371e1d17cf (0xc037f8371e1d17d0) (0xc037f8371e1d17cf) +// 1.42408178602072932328326260176254436373710632324218750 ** 3: 0x40071aba43b3bcea != 0x40071aba43b3bceb (0x40071aba43b3bcec) (0x40071aba43b3bceb) +// 11.48128501093015074729919433593750000000000000000000000 ** 3: 0x4097a5d8fdac3954 != 0x4097a5d8fdac3955 (0x4097a5d8fdac3956) (0x4097a5d8fdac3955) +const testCases3 = [ + [196194373276.42089843750000000000000000000000000000000000000000000 , 3], + [17260025115986696435331651385474892363490876322742272.00000000000000000000000000000000000000000000000000000 , 3], + [-0.00000000000000000000000000000000000000000000000000000 , 3], + [2359506498398344427475761591701240715936602989985583832867274752.00000000000000000000000000000000000000000000000000000 , 3], + [22724457948673043906745552566513068013978508710758109286797554897659283949989408425377792.00000000000000000000000000000000000000000000000000000 , 3], + [-1024872849611580448634200763411882795753013248.00000000000000000000000000000000000000000000000000000 , 3], + [-918435268181356203923125447950336.00000000000000000000000000000000000000000000000000000 , 3], + [558545783776545344834655968246618719333738303286453207040.00000000000000000000000000000000000000000000000000000 , 3], + [0.00000000000000000000000000000000000000000000000000000 , 3], + [-0.00000000000261062225071774409619236799548496917242058 , 3], + [0.00000000000000000000000000000000000000000000012475377 , 3], + [-0.00000000000000000000000000000000000000000000000000000 , 3], + [0.00000000000000000000000000000000000000000000000000000 , 3], + [0.00000000000000000000000007454937961610833261396029146 , 3], + [0.00000000000000000000000000000000000003326770580987513 , 3], + + [-11.40858423709869384765625000000000000000000000000000000 , 3], + [11.42477834224700927734375000000000000000000000000000000 , 3], + [-11.46123231985238533070514677092432975769042968750000000 , 3], + [-11.40183842182159423828125000000000000000000000000000000 , 3], + [2.87109172078278795936512324260547757148742675781250000 , 3], + [-0.72109144181013107299804687500000000000000000000000000 , 3], + [5.70116788148880004882812500000000000000000000000000000 , 3], + [-11.32285048566092200417187996208667755126953125000000000 , 3], + [1.41961999237537384033203125000000000000000000000000000 , 3], + [-11.52091628707762538397219032049179077148437500000000000 , 3], + [-5.73415940999984741210937500000000000000000000000000000 , 3], + [1.41478560105390638312883311300538480281829833984375000 , 3], + [-2.88328036665916442871093750000000000000000000000000000 , 3], + [1.42408178602072932328326260176254436373710632324218750 , 3], + [11.48128501093015074729919433593750000000000000000000000 , 3], +]; + +// Ensure the error is less-or-equal to 2 ULP when compared to fdlibm. +// +// This can produce a larger error than std::pow, because we evaluate +// |x ** 3| as |(x * x) * x| to match Ion. +for (let [x, y] of testCases3) { + let actual = Math.pow(x, y); + let expected = fdlibm.pow(x, y); + let error = errorInULP(actual, expected); + assertEq(error <= 2, true, + `${x} ** ${y}: ${actual} (${toBits(actual).toString(16)}) != ${expected} (${toBits(expected).toString(16)})`); +} + +for (let [x, y] of testCases3) { + // Replace |y| with a constant to trigger Ion optimisations. + let actual = Math.pow(x, 3); + let expected = fdlibm.pow(x, y); + let error = errorInULP(actual, expected); + assertEq(error <= 2, true, + `${x} ** ${y}: ${actual} (${toBits(actual).toString(16)}) != ${expected} (${toBits(expected).toString(16)})`); +} + +if (typeof reportCompare === "function") + reportCompare(true, true); diff --git a/js/src/tests/non262/Math/shell.js b/js/src/tests/non262/Math/shell.js new file mode 100644 index 0000000000..7a64eccac9 --- /dev/null +++ b/js/src/tests/non262/Math/shell.js @@ -0,0 +1,74 @@ +// The nearest representable values to +1.0. +const ONE_PLUS_EPSILON = 1 + Math.pow(2, -52); // 0.9999999999999999 +const ONE_MINUS_EPSILON = 1 - Math.pow(2, -53); // 1.0000000000000002 + +{ + const fail = function (msg) { + var exc = new Error(msg); + try { + // Try to improve on exc.fileName and .lineNumber; leave exc.stack + // alone. We skip two frames: fail() and its caller, an assertX() + // function. + var frames = exc.stack.trim().split("\n"); + if (frames.length > 2) { + var m = /@([^@:]*):([0-9]+)$/.exec(frames[2]); + if (m) { + exc.fileName = m[1]; + exc.lineNumber = +m[2]; + } + } + } catch (ignore) { throw ignore;} + throw exc; + }; + + let ENDIAN; // 0 for little-endian, 1 for big-endian. + + // Return the difference between the IEEE 754 bit-patterns for a and b. + // + // This is meaningful when a and b are both finite and have the same + // sign. Then the following hold: + // + // * If a === b, then diff(a, b) === 0. + // + // * If a !== b, then diff(a, b) === 1 + the number of representable values + // between a and b. + // + const f = new Float64Array([0, 0]); + const u = new Uint32Array(f.buffer); + const diff = function (a, b) { + f[0] = a; + f[1] = b; + //print(u[1].toString(16) + u[0].toString(16) + " " + u[3].toString(16) + u[2].toString(16)); + return Math.abs((u[3-ENDIAN] - u[1-ENDIAN]) * 0x100000000 + u[2+ENDIAN] - u[0+ENDIAN]); + }; + + // Set ENDIAN to the platform's endianness. + ENDIAN = 0; // try little-endian first + if (diff(2, 4) === 0x100000) // exact wrong answer we'll get on a big-endian platform + ENDIAN = 1; + assertEq(diff(2,4), 0x10000000000000); + assertEq(diff(0, Number.MIN_VALUE), 1); + assertEq(diff(1, ONE_PLUS_EPSILON), 1); + assertEq(diff(1, ONE_MINUS_EPSILON), 1); + + var assertNear = function assertNear(a, b, tolerance=1) { + if (!Number.isFinite(b)) { + fail("second argument to assertNear (expected value) must be a finite number"); + } else if (Number.isNaN(a)) { + fail("got NaN, expected a number near " + b); + } else if (!Number.isFinite(a)) { + if (b * Math.sign(a) < Number.MAX_VALUE) + fail("got " + a + ", expected a number near " + b); + } else { + // When the two arguments do not have the same sign bit, diff() + // returns some huge number. So if b is positive or negative 0, + // make target the zero that has the same sign bit as a. + var target = b === 0 ? a * 0 : b; + var err = diff(a, target); + if (err > tolerance) { + fail("got " + a + ", expected a number near " + b + + " (relative error: " + err + ")"); + } + } + }; +} diff --git a/js/src/tests/non262/Math/sign.js b/js/src/tests/non262/Math/sign.js new file mode 100644 index 0000000000..5552dfc3d4 --- /dev/null +++ b/js/src/tests/non262/Math/sign.js @@ -0,0 +1,34 @@ +// If x is NaN, the result is NaN. +assertEq(Math.sign(NaN), NaN); + +// If x is −0, the result is −0. +assertEq(Math.sign(-0), -0); + +// If x is +0, the result is +0. +assertEq(Math.sign(+0), +0); + +// If x is negative and not −0, the result is −1. +assertEq(Math.sign(-Number.MIN_VALUE), -1); +assertEq(Math.sign(-Number.MAX_VALUE), -1); +assertEq(Math.sign(-Infinity), -1); + +for (var i = -1; i > -20; i--) + assertEq(Math.sign(i), -1); + +assertEq(Math.sign(-1e-300), -1); +assertEq(Math.sign(-0x80000000), -1); + +// If x is positive and not +0, the result is +1. +assertEq(Math.sign(Number.MIN_VALUE), +1); +assertEq(Math.sign(Number.MAX_VALUE), +1); +assertEq(Math.sign(Infinity), +1); + +for (var i = 1; i < 20; i++) + assertEq(Math.sign(i), +1); + +assertEq(Math.sign(+1e-300), +1); +assertEq(Math.sign(0x80000000), +1); +assertEq(Math.sign(0xffffffff), +1); + + +reportCompare(0, 0, "ok"); diff --git a/js/src/tests/non262/Math/sinh-approx.js b/js/src/tests/non262/Math/sinh-approx.js new file mode 100644 index 0000000000..15170dc666 --- /dev/null +++ b/js/src/tests/non262/Math/sinh-approx.js @@ -0,0 +1,297 @@ +for (var i = -20; i < 20; i++) + assertNear(Math.sinh(i), (Math.exp(i) - Math.exp(-i)) / 2); + +assertEq(Math.sinh(1000), Infinity); +assertEq(Math.sinh(Number.MAX_VALUE), Infinity); +assertNear(Math.sinh(1e-30), 1e-30); +assertNear(Math.sinh(1e-10), 1e-10); + +var sinh_data = [ + [-6.902103625349695, -497.1816406250001], + [-6.898143347143859, 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[22.780591462699917, 3912507392.0000005], + [23.401438520318692, 7279233024.000007], + [23.684949498080787, 9665245184.000017], + [24.5355829820426, 22627590144.000004], + [25.520740767599584, 60601991168.00004], + [26.31438890085422, 134018236416.00002], + [26.73876398039979, 204864946175.99973], + [27.06660583008718, 284346286080.00024], + [28.234874284944635, 914576637951.9989], + [28.78280496108106, 1581915832319.9973] +]; + +for (var [x, y] of sinh_data) + assertNear(Math.sinh(x), y); + +reportCompare(0, 0, "ok"); + diff --git a/js/src/tests/non262/Math/sinh-exact.js b/js/src/tests/non262/Math/sinh-exact.js new file mode 100644 index 0000000000..bfae1f7524 --- /dev/null +++ b/js/src/tests/non262/Math/sinh-exact.js @@ -0,0 +1,19 @@ +// Properties of Math.sinh that are guaranteed by the spec. + +// If x is NaN, the result is NaN. +assertEq(Math.sinh(NaN), NaN); + +// If x is +0, the result is +0. +assertEq(Math.sinh(+0), +0); + +// If x is −0, the result is −0. +assertEq(Math.sinh(-0), -0); + +// If x is +∞, the result is +∞. +assertEq(Math.sinh(Infinity), Infinity); + +// If x is −∞, the result is −∞. +assertEq(Math.sinh(-Infinity), -Infinity); + + +reportCompare(0, 0, "ok"); diff --git a/js/src/tests/non262/Math/tanh-approx.js b/js/src/tests/non262/Math/tanh-approx.js new file mode 100644 index 0000000000..252322a099 --- /dev/null +++ b/js/src/tests/non262/Math/tanh-approx.js @@ -0,0 +1,282 @@ +var sloppy_tolerance = 2; + +for (var i = -20; i < 20; i++) { + assertNear(Math.tanh(i), + (Math.exp(i) - Math.exp(-i)) / (Math.exp(i) + Math.exp(-i)), + sloppy_tolerance); +} + +assertEq(Math.tanh(1e300), 1); + +var tanh_data = [ + [-0.9999983310699463, -6.998237084679027], + [-0.9999978542327881, -6.87257975132917], + [-0.999992847442627, -6.2705920974657525], + [-0.9999861717224121, -5.940967614084813], + [-0.9999828338623047, -5.832855225378502], + [-0.9999399185180664, -5.20646301208756], + [-0.9998834133148193, -4.8749821841810785], + [-0.9998509883880615, -4.752279497280338], + [-0.9996016025543213, -4.260504202858904], + [-0.9993612766265869, -4.0244334353203115], + [-0.9989283084869385, -3.7655641082999236], + [-0.9969782829284668, -3.246782610980921], + [-0.9950058460235596, -2.9950671179940938], + [-0.9942638874053955, -2.9256242749609536], + [-0.990715742111206, -2.6839646283308363], + [-0.9903340339660645, -2.663723350226518], + [-0.9760982990264893, -2.207464998348322], + [-0.975830078125, -2.201817459680556], + [-0.9728245735168457, -2.1424542308291437], + [-0.9643559455871582, -2.0046686756020917], + [-0.9377224445343018, -1.7188337346177065], + [-0.9362406730651855, -1.7066940482565154], + [-0.9310147762298584, -1.6659543005533146], + [-0.9284839630126953, -1.6472838718760747], + [-0.9270248413085938, -1.6368067340881562], + [-0.9075665473937988, -1.5135473477311114], + [-0.897477388381958, -1.4590986086331497], + [-0.8920106887817383, -1.431681573516303], + [-0.8776559829711914, -1.365471286049011], + 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[0.9099440574645996, 1.5271990851861994], + [0.9142425060272217, 1.5527768948273004], + [0.9149219989776611, 1.556931837197936], + [0.9184908866882324, 1.5792896628381612], + [0.9188928604125977, 1.5818663359427627], + [0.919395923614502, 1.5851082843320008], + [0.9296839237213135, 1.6560555223295368], + [0.9298396110534668, 1.6572041418041492], + [0.9352962970733643, 1.6990986433619266], + [0.9376416206359863, 1.718164398807965], + [0.9410912990570068, 1.7475084077246632], + [0.962122917175293, 1.9737180163455101], + [0.9748215675354004, 2.1811227771083783], + [0.9769454002380371, 2.2257214499698255], + [0.985663890838623, 2.4654635601650536], + [0.9880380630493164, 2.5565869228142004], + [0.9928233623504639, 2.8132383539094192], + [1e-300, 1e-300], + [0.00001, 0.000010000000000333334], + [0.3, 0.3095196042031117], + [1e-30, 1e-30], + [1e-10, 1e-10], +]; + +for (var [x, y] of tanh_data) + assertNear(Math.tanh(y), x, sloppy_tolerance); + +reportCompare(0, 0, "ok"); diff --git a/js/src/tests/non262/Math/tanh-exact.js b/js/src/tests/non262/Math/tanh-exact.js new file mode 100644 index 0000000000..bfd9ac4def --- /dev/null +++ b/js/src/tests/non262/Math/tanh-exact.js @@ -0,0 +1,19 @@ +// Properties of Math.tanh that are guaranteed by the spec. + +// If x is NaN, the result is NaN. +assertEq(Math.tanh(NaN), NaN); + +// If x is +0, the result is +0. +assertEq(Math.tanh(+0), +0); + +// If x is −0, the result is −0. +assertEq(Math.tanh(-0), -0); + +// If x is +∞, the result is +1. +assertEq(Math.tanh(Number.POSITIVE_INFINITY), +1); + +// If x is −∞, the result is -1. +assertEq(Math.tanh(Number.NEGATIVE_INFINITY), -1); + + +reportCompare(0, 0, "ok"); diff --git a/js/src/tests/non262/Math/trunc.js b/js/src/tests/non262/Math/trunc.js new file mode 100644 index 0000000000..4cadfd9224 --- /dev/null +++ b/js/src/tests/non262/Math/trunc.js @@ -0,0 +1,50 @@ +// If x is NaN, the result is NaN. +assertEq(Math.trunc(NaN), NaN); + +// If x is −0, the result is −0. +assertEq(Math.trunc(-0), -0); + +// If x is +0, the result is +0. +assertEq(Math.trunc(+0), +0); + +// If x is +∞, the result is +∞. +assertEq(Math.trunc(Infinity), Infinity); + +// If x is −∞, the result is −∞. +assertEq(Math.trunc(-Infinity), -Infinity); + +// Other boundary cases. +var MAX_NONINTEGER_VALUE = 4503599627370495.5; +var TRUNC_MAX_NONINTEGER_VALUE = 4503599627370495; + +assertEq(Math.trunc(Number.MIN_VALUE), +0); +assertEq(Math.trunc(ONE_MINUS_EPSILON), +0); +assertEq(Math.trunc(ONE_PLUS_EPSILON), 1); +assertEq(Math.trunc(MAX_NONINTEGER_VALUE), TRUNC_MAX_NONINTEGER_VALUE); +assertEq(Math.trunc(Number.MAX_VALUE), Number.MAX_VALUE); + +assertEq(Math.trunc(-Number.MIN_VALUE), -0); +assertEq(Math.trunc(-ONE_MINUS_EPSILON), -0); +assertEq(Math.trunc(-ONE_PLUS_EPSILON), -1); +assertEq(Math.trunc(-MAX_NONINTEGER_VALUE), -TRUNC_MAX_NONINTEGER_VALUE); +assertEq(Math.trunc(-Number.MAX_VALUE), -Number.MAX_VALUE); + +// Other cases. +for (var i = 1, f = 1.1; i < 20; i++, f += 1.0) + assertEq(Math.trunc(f), i); + +for (var i = -1, f = -1.1; i > -20; i--, f -= 1.0) + assertEq(Math.trunc(f), i); + +assertEq(Math.trunc(1e40 + 0.5), 1e40); + +assertEq(Math.trunc(1e300), 1e300); +assertEq(Math.trunc(-1e300), -1e300); +assertEq(Math.trunc(1e-300), 0); +assertEq(Math.trunc(-1e-300), -0); + +assertEq(Math.trunc(+0.9999), +0); +assertEq(Math.trunc(-0.9999), -0); + + +reportCompare(0, 0, "ok"); |