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      1 // Copyright 2013 the V8 project authors. All rights reserved.
      2 // Redistribution and use in source and binary forms, with or without
      3 // modification, are permitted provided that the following conditions are
      4 // met:
      5 //
      6 //     * Redistributions of source code must retain the above copyright
      7 //       notice, this list of conditions and the following disclaimer.
      8 //     * Redistributions in binary form must reproduce the above
      9 //       copyright notice, this list of conditions and the following
     10 //       disclaimer in the documentation and/or other materials provided
     11 //       with the distribution.
     12 //     * Neither the name of Google Inc. nor the names of its
     13 //       contributors may be used to endorse or promote products derived
     14 //       from this software without specific prior written permission.
     15 //
     16 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
     17 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
     18 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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     20 // OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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     23 // DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
     24 // THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
     25 // (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
     26 // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
     27 
     28 // Flags: --harmony-maths
     29 
     30 [Math.sinh, Math.cosh, Math.tanh, Math.asinh, Math.acosh, Math.atanh].
     31     forEach(function(fun) {
     32   assertTrue(isNaN(fun(NaN)));
     33   assertTrue(isNaN(fun("abc")));
     34   assertTrue(isNaN(fun({})));
     35   assertEquals(fun(0), fun([]));
     36   assertTrue(isNaN(fun([1, 1])));
     37   assertEquals(fun(1.11), fun({ toString: function() { return "1.11"; } }));
     38   assertEquals(fun(-3.1), fun({ toString: function() { return -3.1; } }));
     39   assertEquals(fun(-1.1), fun({ valueOf: function() { return "-1.1"; } }));
     40   assertEquals(fun(3.11), fun({ valueOf: function() { return 3.11; } }));
     41 });
     42 
     43 
     44 function test_id(fun, rev, value) {
     45   assertEqualsDelta(1, rev(fun(value))/value, 1E-7);
     46 }
     47 
     48 [Math.PI, 2, 5, 1E-5, 0.3].forEach(function(x) {
     49   test_id(Math.sinh, Math.asinh, x);
     50   test_id(Math.sinh, Math.asinh, -x);
     51   test_id(Math.cosh, Math.acosh, x);
     52   test_id(Math.tanh, Math.atanh, x);
     53   test_id(Math.tanh, Math.atanh, -x);
     54 });
     55 
     56 
     57 [Math.sinh, Math.asinh, Math.tanh, Math.atanh].forEach(function(fun) {
     58   assertEquals("-Infinity", String(1/fun(-0)));
     59   assertEquals("Infinity", String(1/fun(0)));
     60 });
     61 
     62 
     63 [Math.sinh, Math.asinh].forEach(function(fun) {
     64   assertEquals("-Infinity", String(fun(-Infinity)));
     65   assertEquals("Infinity", String(fun(Infinity)));
     66   assertEquals("-Infinity", String(fun("-Infinity")));
     67   assertEquals("Infinity", String(fun("Infinity")));
     68 });
     69 
     70 
     71 assertEquals("Infinity", String(Math.cosh(-Infinity)));
     72 assertEquals("Infinity", String(Math.cosh(Infinity)));
     73 assertEquals("Infinity", String(Math.cosh("-Infinity")));
     74 assertEquals("Infinity", String(Math.cosh("Infinity")));
     75 
     76 
     77 assertEquals("-Infinity", String(Math.atanh(-1)));
     78 assertEquals("Infinity", String(Math.atanh(1)));
     79 
     80 // Math.atanh(x) is NaN for |x| > 1 and NaN
     81 [1.000000000001, Math.PI, 10000000, 2, Infinity, NaN].forEach(function(x) {
     82   assertTrue(isNaN(Math.atanh(-x)));
     83   assertTrue(isNaN(Math.atanh(x)));
     84 });
     85 
     86 
     87 assertEquals(1, Math.tanh(Infinity));
     88 assertEquals(-1, Math.tanh(-Infinity));
     89 assertEquals(1, Math.cosh(0));
     90 assertEquals(1, Math.cosh(-0));
     91 
     92 assertEquals(0, Math.acosh(1));
     93 assertEquals("Infinity", String(Math.acosh(Infinity)));
     94 
     95 // Math.acosh(x) is NaN for x < 1
     96 [0.99999999999, 0.2, -1000, 0, -0].forEach(function(x) {
     97   assertTrue(isNaN(Math.acosh(x)));
     98 });
     99 
    100 
    101 // Some random samples.
    102 assertEqualsDelta(0.5210953054937, Math.sinh(0.5), 1E-12);
    103 assertEqualsDelta(74.203210577788, Math.sinh(5), 1E-12);
    104 assertEqualsDelta(-0.5210953054937, Math.sinh(-0.5), 1E-12);
    105 assertEqualsDelta(-74.203210577788, Math.sinh(-5), 1E-12);
    106 
    107 assertEqualsDelta(1.1276259652063, Math.cosh(0.5), 1E-12);
    108 assertEqualsDelta(74.209948524787, Math.cosh(5), 1E-12);
    109 assertEqualsDelta(1.1276259652063, Math.cosh(-0.5), 1E-12);
    110 assertEqualsDelta(74.209948524787, Math.cosh(-5), 1E-12);
    111 
    112 assertEqualsDelta(0.4621171572600, Math.tanh(0.5), 1E-12);
    113 assertEqualsDelta(0.9999092042625, Math.tanh(5), 1E-12);
    114 assertEqualsDelta(-0.4621171572600, Math.tanh(-0.5), 1E-12);
    115 assertEqualsDelta(-0.9999092042625, Math.tanh(-5), 1E-12);
    116 
    117 assertEqualsDelta(0.4812118250596, Math.asinh(0.5), 1E-12);
    118 assertEqualsDelta(2.3124383412727, Math.asinh(5), 1E-12);
    119 assertEqualsDelta(-0.4812118250596, Math.asinh(-0.5), 1E-12);
    120 assertEqualsDelta(-2.3124383412727, Math.asinh(-5), 1E-12);
    121 
    122 assertEqualsDelta(0.9624236501192, Math.acosh(1.5), 1E-12);
    123 assertEqualsDelta(2.2924316695612, Math.acosh(5), 1E-12);
    124 assertEqualsDelta(0.4435682543851, Math.acosh(1.1), 1E-12);
    125 assertEqualsDelta(1.3169578969248, Math.acosh(2), 1E-12);
    126 
    127 assertEqualsDelta(0.5493061443341, Math.atanh(0.5), 1E-12);
    128 assertEqualsDelta(0.1003353477311, Math.atanh(0.1), 1E-12);
    129 assertEqualsDelta(-0.5493061443341, Math.atanh(-0.5), 1E-12);
    130 assertEqualsDelta(-0.1003353477311, Math.atanh(-0.1), 1E-12);
    131 
    132 [0, 1E-50, 1E-10, 1E10, 1E50, 1E100, 1E150].forEach(function(x) {
    133   assertEqualsDelta(Math.asinh(x), -Math.asinh(-x), 1E-12);
    134 });
    135 
    136 [1-(1E-16), 0, 1E-10, 1E-50].forEach(function(x) {
    137   assertEqualsDelta(Math.atanh(x), -Math.atanh(-x), 1E-12);
    138 });
    139