1f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org// Copyright 2014 the V8 project authors. All rights reserved.
2f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org// Use of this source code is governed by a BSD-style license that can be
3f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org// found in the LICENSE file.
4f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org
5dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.org// Flags: --allow-natives-syntax
6dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.org
7f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org// Monkey-patch Float32Array.
8f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.orgFloat32Array = function(x) { this[0] = 0; };
9f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org
10f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.orgassertTrue(isNaN(Math.fround(NaN)));
11f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.orgassertTrue(isNaN(Math.fround(function() {})));
12f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.orgassertTrue(isNaN(Math.fround({ toString: function() { return NaN; } })));
13f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.orgassertTrue(isNaN(Math.fround({ valueOf: function() { return "abc"; } })));
14dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.orgassertTrue(isNaN(Math.fround(NaN)));
15dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.orgassertTrue(isNaN(Math.fround(function() {})));
16dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.orgassertTrue(isNaN(Math.fround({ toString: function() { return NaN; } })));
17dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.orgassertTrue(isNaN(Math.fround({ valueOf: function() { return "abc"; } })));
18f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org
19dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.orgfunction unopt(x) { return Math.fround(x); }
20dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.orgfunction opt(y) { return Math.fround(y); }
21dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.org
22dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.orgopt(0.1);
23dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.orgopt(0.1);
24dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.orgunopt(0.1);
25dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.org%NeverOptimizeFunction(unopt);
26dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.org%OptimizeFunctionOnNextCall(opt);
27dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.org
28dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.orgfunction test(f) {
29dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.org  assertEquals("Infinity", String(1/f(0)));
30dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.org  assertEquals("-Infinity", String(1/f(-0)));
31dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.org  assertEquals("Infinity", String(f(Infinity)));
32dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.org  assertEquals("-Infinity", String(f(-Infinity)));
33dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.org  assertEquals("Infinity", String(f(1E200)));
34dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.org  assertEquals("-Infinity", String(f(-1E200)));
35dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.org  assertEquals("Infinity", String(1/f(1E-300)));
36dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.org  assertEquals("-Infinity", String(1/f(-1E-300)));
37dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.org}
38dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.org
39dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.orgtest(opt);
40dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.orgtest(unopt);
41f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org
42f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.orgmantissa_23_shift = Math.pow(2, -23);
43f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.orgmantissa_29_shift = Math.pow(2, -23-29);
44f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org
45f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org// Javascript implementation of IEEE 754 to test double to single conversion.
46f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.orgfunction ieee754float(sign_bit,
47f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org                      exponent_bits,
48f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org                      mantissa_23_bits,
49f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org                      mantissa_29_bits) {
50f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  this.sign_bit = sign_bit & 1;
51f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  this.exponent_bits = exponent_bits & ((1 << 11) - 1);
52f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  this.mantissa_23_bits = mantissa_23_bits & ((1 << 23) - 1);
53f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  this.mantissa_29_bits = mantissa_29_bits & ((1 << 29) - 1);
54f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org}
55f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org
56f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.orgieee754float.prototype.returnSpecial = function() {
57f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  if (mantissa_23_bits == 0 && mantissa_29_bits == 0) return sign * Infinity;
58f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  return NaN;
59f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org}
60f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org
61f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.orgieee754float.prototype.toDouble = function() {
62f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  var sign = this.sign_bit ? -1 : 1;
63f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  var exponent = this.exponent_bits - 1023;
64f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  if (exponent == -1023) returnSpecial();
65f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  var mantissa = 1 + this.mantissa_23_bits * mantissa_23_shift +
66f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org                     this.mantissa_29_bits * mantissa_29_shift;
67f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  return sign * Math.pow(2, exponent) * mantissa;
68f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org}
69f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org
70f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.orgieee754float.prototype.toSingle = function() {
71f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  var sign = this.sign_bit ? -1 : 1;
72f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  var exponent = this.exponent_bits - 1023;
73f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  if (exponent == -1023) returnSpecial();
74f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  if (exponent > 127) return sign * Infinity;
75f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  if (exponent < -126) return this.toSingleSubnormal(sign, exponent);
76f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  var round = this.mantissa_29_bits >> 28;
77f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  var mantissa = 1 + (this.mantissa_23_bits + round) * mantissa_23_shift;
78f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  return sign * Math.pow(2, exponent) * mantissa;
79f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org}
80f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org
81f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.orgieee754float.prototype.toSingleSubnormal = function(sign, exponent) {
82f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  var shift = -126 - exponent;
83f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  if (shift > 24) return sign * 0;
84f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  var round_mask = 1 << (shift - 1);
85f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  var mantissa_23_bits = this.mantissa_23_bits + (1 << 23);
86f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  var round = ((mantissa_23_bits & round_mask) != 0) | 0;
87f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  if (round) {  // Round to even if tied.
88f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org    var tied_mask = round_mask - 1;
89f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org    var result_last_bit_mask = 1 << shift;
90f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org    var tied = this.mantissa_29_bits == 0 &&
91f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org               (mantissa_23_bits & tied_mask ) == 0;
92f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org    var result_already_even = (mantissa_23_bits & result_last_bit_mask) == 0;
93f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org    if (tied && result_already_even) round = 0;
94f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  }
95f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  mantissa_23_bits >>= shift;
96f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  var mantissa = (mantissa_23_bits + round) * mantissa_23_shift;
97f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  return sign * Math.pow(2, -126) * mantissa;
98f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org}
99f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org
100f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org
101f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.orgvar pi = new ieee754float(0, 0x400, 0x490fda, 0x14442d18);
102dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.orgassertEquals(pi.toSingle(), opt(pi.toDouble()));
103dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.orgassertEquals(pi.toSingle(), unopt(pi.toDouble()));
104dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.org
105f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org
106f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.orgfunction fuzz_mantissa(sign, exp, m1inc, m2inc) {
107f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  for (var m1 = 0; m1 < (1 << 23); m1 += m1inc) {
108f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org    for (var m2 = 0; m2 < (1 << 29); m2 += m2inc) {
109f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org      var float = new ieee754float(sign, exp, m1, m2);
110dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.org      assertEquals(float.toSingle(), unopt(float.toDouble()));
111dc207d99f9dbff76065405b65f3d88e1fb49fc1cmachenbach@chromium.org      assertEquals(float.toSingle(), opt(float.toDouble()));
112f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org    }
113f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  }
114f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org}
115f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org
116f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.orgfor (var sign = 0; sign < 2; sign++) {
117f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  for (var exp = 1024 - 170; exp < 1024 + 170; exp++) {
118f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org    fuzz_mantissa(sign, exp, 1337 * exp - sign, 127913 * exp - sign);
119f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org  }
120f5a24546072ecdbbd6372c85c42157e01e913561titzer@chromium.org}
121