Implement hyperbolic math functions for ES6.

test/mjsunit/harmony/math-hyperbolic.js

+// Copyright 2013 the V8 project authors. All rights reserved.
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
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+//     * Redistributions in binary form must reproduce the above
+//       copyright notice, this list of conditions and the following
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+//       contributors may be used to endorse or promote products derived
+//       from this software without specific prior written permission.
+//
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+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+// Flags: --harmony-maths
+
+[Math.sinh, Math.cosh, Math.tanh, Math.asinh, Math.acosh, Math.atanh].
+    forEach(function(fun) {
+  assertTrue(isNaN(fun(NaN)));
+  assertTrue(isNaN(fun("abc")));
+  assertTrue(isNaN(fun({})));
+  assertEquals(fun(0), fun([]));
+  assertTrue(isNaN(fun([1, 1])));
+  assertEquals(fun(1.11), fun({ toString: function() { return "1.11"; } }));
+  assertEquals(fun(-3.1), fun({ toString: function() { return -3.1; } }));
+  assertEquals(fun(-1.1), fun({ valueOf: function() { return "-1.1"; } }));
+  assertEquals(fun(3.11), fun({ valueOf: function() { return 3.11; } }));
+});
+
+
+function test_id(fun, rev, value) {
+  assertEqualsDelta(1, rev(fun(value))/value, 1E-7);
+}
+
+[Math.PI, 2, 5, 1E-5, 0.3].forEach(function(x) {
+  test_id(Math.sinh, Math.asinh, x);
+  test_id(Math.sinh, Math.asinh, -x);
+  test_id(Math.cosh, Math.acosh, x);
+  test_id(Math.tanh, Math.atanh, x);
+  test_id(Math.tanh, Math.atanh, -x);
+});
+
+
+[Math.sinh, Math.asinh, Math.tanh, Math.atanh].forEach(function(fun) {
+  assertEquals("-Infinity", String(1/fun(-0)));
+  assertEquals("Infinity", String(1/fun(0)));
+});
+
+
+[Math.sinh, Math.asinh, Math.cosh].forEach(function(fun) {
+  assertEquals("-Infinity", String(fun(-Infinity)));
+  assertEquals("Infinity", String(fun(Infinity)));
+  assertEquals("-Infinity", String(fun("-Infinity")));
+  assertEquals("Infinity", String(fun("Infinity")));
+});
+
+
+assertEquals("-Infinity", String(Math.atanh(-1)));
+assertEquals("Infinity", String(Math.atanh(1)));
+
+// Math.atanh(x) is NaN for |x| > 1 and NaN
+[1.000000000001, Math.PI, 10000000, 2, Infinity, NaN].forEach(function(x) {
+  assertTrue(isNaN(Math.atanh(-x)));
+  assertTrue(isNaN(Math.atanh(x)));
+});
+
+
+assertEquals(1, Math.tanh(Infinity));
+assertEquals(-1, Math.tanh(-Infinity));
+assertEquals(1, Math.cosh(0));
+assertEquals(1, Math.cosh(-0));
+
+assertEquals(0, Math.acosh(1));
+assertEquals("Infinity", String(Math.acosh(Infinity)));
+
+// Math.acosh(x) is NaN for x < 1
+[0.99999999999, 0.2, -1000, 0, -0].forEach(function(x) {
+  assertTrue(isNaN(Math.acosh(x)));
+});
+
+
+// Some random samples.
+assertEqualsDelta(0.5210953054937, Math.sinh(0.5), 1E-12);
+assertEqualsDelta(74.203210577788, Math.sinh(5), 1E-12);
+assertEqualsDelta(-0.5210953054937, Math.sinh(-0.5), 1E-12);
+assertEqualsDelta(-74.203210577788, Math.sinh(-5), 1E-12);
+
+assertEqualsDelta(1.1276259652063, Math.cosh(0.5), 1E-12);
+assertEqualsDelta(74.209948524787, Math.cosh(5), 1E-12);
+assertEqualsDelta(1.1276259652063, Math.cosh(-0.5), 1E-12);
+assertEqualsDelta(74.209948524787, Math.cosh(-5), 1E-12);
+
+assertEqualsDelta(0.4621171572600, Math.tanh(0.5), 1E-12);
+assertEqualsDelta(0.9999092042625, Math.tanh(5), 1E-12);
+assertEqualsDelta(-0.4621171572600, Math.tanh(-0.5), 1E-12);
+assertEqualsDelta(-0.9999092042625, Math.tanh(-5), 1E-12);
+
+assertEqualsDelta(0.4812118250596, Math.asinh(0.5), 1E-12);
+assertEqualsDelta(2.3124383412727, Math.asinh(5), 1E-12);
+assertEqualsDelta(-0.4812118250596, Math.asinh(-0.5), 1E-12);
+assertEqualsDelta(-2.3124383412727, Math.asinh(-5), 1E-12);
+
+assertEqualsDelta(0.9624236501192, Math.acosh(1.5), 1E-12);
+assertEqualsDelta(2.2924316695612, Math.acosh(5), 1E-12);
+assertEqualsDelta(0.4435682543851, Math.acosh(1.1), 1E-12);
+assertEqualsDelta(1.3169578969248, Math.acosh(2), 1E-12);
+
+assertEqualsDelta(0.5493061443341, Math.atanh(0.5), 1E-12);
+assertEqualsDelta(0.1003353477311, Math.atanh(0.1), 1E-12);
+assertEqualsDelta(-0.5493061443341, Math.atanh(-0.5), 1E-12);
+assertEqualsDelta(-0.1003353477311, Math.atanh(-0.1), 1E-12);