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      1 // Copyright 2012 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.
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     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
     19 // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
     20 // OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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     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: --allow-natives-syntax --nouse_inlining --enable_sudiv
     29 
     30 // Use this function as reference. Make sure it is not inlined.
     31 function div(a, b) {
     32   return a / b;
     33 }
     34 
     35 var limit = 0x1000000;
     36 var exhaustive_limit = 100;
     37 var step = 10;
     38 var values = [0x10000001,
     39               0x12345678,
     40               -0x789abcdf,  // 0x87654321
     41               0x01234567,
     42               0x76543210,
     43               -0x80000000,  // 0x80000000
     44               0x7fffffff,
     45               -0x0fffffff,  // 0xf0000001
     46               0x00000010,
     47               -0x01000000   // 0xff000000
     48               ];
     49 
     50 function test_div() {
     51   var c = 0;
     52   for (var k = 0; k <= limit; k++) {
     53     if (k > exhaustive_limit) { c += step; k += c; }
     54     assertEquals(Math.floor(div(k,   1)), Math.floor(k /   1));
     55     assertEquals(Math.floor(div(k,   -1)), Math.floor(k /   -1));
     56     assertEquals(Math.floor(div(k,   2)), Math.floor(k /   2));
     57     assertEquals(Math.floor(div(k,   -2)), Math.floor(k /   -2));
     58     assertEquals(Math.floor(div(k,   3)), Math.floor(k /   3));
     59     assertEquals(Math.floor(div(k,   -3)), Math.floor(k /   -3));
     60     assertEquals(Math.floor(div(k,   4)), Math.floor(k /   4));
     61     assertEquals(Math.floor(div(k,   -4)), Math.floor(k /   -4));
     62     assertEquals(Math.floor(div(k,   5)), Math.floor(k /   5));
     63     assertEquals(Math.floor(div(k,   -5)), Math.floor(k /   -5));
     64     assertEquals(Math.floor(div(k,   6)), Math.floor(k /   6));
     65     assertEquals(Math.floor(div(k,   -6)), Math.floor(k /   -6));
     66     assertEquals(Math.floor(div(k,   7)), Math.floor(k /   7));
     67     assertEquals(Math.floor(div(k,   -7)), Math.floor(k /   -7));
     68     assertEquals(Math.floor(div(k,   8)), Math.floor(k /   8));
     69     assertEquals(Math.floor(div(k,   -8)), Math.floor(k /   -8));
     70     assertEquals(Math.floor(div(k,   9)), Math.floor(k /   9));
     71     assertEquals(Math.floor(div(k,   -9)), Math.floor(k /   -9));
     72     assertEquals(Math.floor(div(k,  10)), Math.floor(k /  10));
     73     assertEquals(Math.floor(div(k,  -10)), Math.floor(k /  -10));
     74     assertEquals(Math.floor(div(k,  11)), Math.floor(k /  11));
     75     assertEquals(Math.floor(div(k,  -11)), Math.floor(k /  -11));
     76     assertEquals(Math.floor(div(k,  12)), Math.floor(k /  12));
     77     assertEquals(Math.floor(div(k,  -12)), Math.floor(k /  -12));
     78     assertEquals(Math.floor(div(k,  13)), Math.floor(k /  13));
     79     assertEquals(Math.floor(div(k,  -13)), Math.floor(k /  -13));
     80     assertEquals(Math.floor(div(k,  14)), Math.floor(k /  14));
     81     assertEquals(Math.floor(div(k,  -14)), Math.floor(k /  -14));
     82     assertEquals(Math.floor(div(k,  15)), Math.floor(k /  15));
     83     assertEquals(Math.floor(div(k,  -15)), Math.floor(k /  -15));
     84     assertEquals(Math.floor(div(k,  16)), Math.floor(k /  16));
     85     assertEquals(Math.floor(div(k,  -16)), Math.floor(k /  -16));
     86     assertEquals(Math.floor(div(k,  17)), Math.floor(k /  17));
     87     assertEquals(Math.floor(div(k,  -17)), Math.floor(k /  -17));
     88     assertEquals(Math.floor(div(k,  18)), Math.floor(k /  18));
     89     assertEquals(Math.floor(div(k,  -18)), Math.floor(k /  -18));
     90     assertEquals(Math.floor(div(k,  19)), Math.floor(k /  19));
     91     assertEquals(Math.floor(div(k,  -19)), Math.floor(k /  -19));
     92     assertEquals(Math.floor(div(k,  20)), Math.floor(k /  20));
     93     assertEquals(Math.floor(div(k,  -20)), Math.floor(k /  -20));
     94     assertEquals(Math.floor(div(k,  21)), Math.floor(k /  21));
     95     assertEquals(Math.floor(div(k,  -21)), Math.floor(k /  -21));
     96     assertEquals(Math.floor(div(k,  22)), Math.floor(k /  22));
     97     assertEquals(Math.floor(div(k,  -22)), Math.floor(k /  -22));
     98     assertEquals(Math.floor(div(k,  23)), Math.floor(k /  23));
     99     assertEquals(Math.floor(div(k,  -23)), Math.floor(k /  -23));
    100     assertEquals(Math.floor(div(k,  24)), Math.floor(k /  24));
    101     assertEquals(Math.floor(div(k,  -24)), Math.floor(k /  -24));
    102     assertEquals(Math.floor(div(k,  25)), Math.floor(k /  25));
    103     assertEquals(Math.floor(div(k,  -25)), Math.floor(k /  -25));
    104     assertEquals(Math.floor(div(k, 125)), Math.floor(k / 125));
    105     assertEquals(Math.floor(div(k, -125)), Math.floor(k / -125));
    106     assertEquals(Math.floor(div(k, 625)), Math.floor(k / 625));
    107     assertEquals(Math.floor(div(k, -625)), Math.floor(k / -625));
    108   }
    109   c = 0;
    110   for (var k = 0; k <= limit; k++) {
    111     if (k > exhaustive_limit) { c += step; k += c; }
    112     assertEquals(Math.floor(div(-k,   1)), Math.floor(-k /   1));
    113     assertEquals(Math.floor(div(-k,   -1)), Math.floor(-k /   -1));
    114     assertEquals(Math.floor(div(-k,   2)), Math.floor(-k /   2));
    115     assertEquals(Math.floor(div(-k,   -2)), Math.floor(-k /   -2));
    116     assertEquals(Math.floor(div(-k,   3)), Math.floor(-k /   3));
    117     assertEquals(Math.floor(div(-k,   -3)), Math.floor(-k /   -3));
    118     assertEquals(Math.floor(div(-k,   4)), Math.floor(-k /   4));
    119     assertEquals(Math.floor(div(-k,   -4)), Math.floor(-k /   -4));
    120     assertEquals(Math.floor(div(-k,   5)), Math.floor(-k /   5));
    121     assertEquals(Math.floor(div(-k,   -5)), Math.floor(-k /   -5));
    122     assertEquals(Math.floor(div(-k,   6)), Math.floor(-k /   6));
    123     assertEquals(Math.floor(div(-k,   -6)), Math.floor(-k /   -6));
    124     assertEquals(Math.floor(div(-k,   7)), Math.floor(-k /   7));
    125     assertEquals(Math.floor(div(-k,   -7)), Math.floor(-k /   -7));
    126     assertEquals(Math.floor(div(-k,   8)), Math.floor(-k /   8));
    127     assertEquals(Math.floor(div(-k,   -8)), Math.floor(-k /   -8));
    128     assertEquals(Math.floor(div(-k,   9)), Math.floor(-k /   9));
    129     assertEquals(Math.floor(div(-k,   -9)), Math.floor(-k /   -9));
    130     assertEquals(Math.floor(div(-k,  10)), Math.floor(-k /  10));
    131     assertEquals(Math.floor(div(-k,  -10)), Math.floor(-k /  -10));
    132     assertEquals(Math.floor(div(-k,  11)), Math.floor(-k /  11));
    133     assertEquals(Math.floor(div(-k,  -11)), Math.floor(-k /  -11));
    134     assertEquals(Math.floor(div(-k,  12)), Math.floor(-k /  12));
    135     assertEquals(Math.floor(div(-k,  -12)), Math.floor(-k /  -12));
    136     assertEquals(Math.floor(div(-k,  13)), Math.floor(-k /  13));
    137     assertEquals(Math.floor(div(-k,  -13)), Math.floor(-k /  -13));
    138     assertEquals(Math.floor(div(-k,  14)), Math.floor(-k /  14));
    139     assertEquals(Math.floor(div(-k,  -14)), Math.floor(-k /  -14));
    140     assertEquals(Math.floor(div(-k,  15)), Math.floor(-k /  15));
    141     assertEquals(Math.floor(div(-k,  -15)), Math.floor(-k /  -15));
    142     assertEquals(Math.floor(div(-k,  16)), Math.floor(-k /  16));
    143     assertEquals(Math.floor(div(-k,  -16)), Math.floor(-k /  -16));
    144     assertEquals(Math.floor(div(-k,  17)), Math.floor(-k /  17));
    145     assertEquals(Math.floor(div(-k,  -17)), Math.floor(-k /  -17));
    146     assertEquals(Math.floor(div(-k,  18)), Math.floor(-k /  18));
    147     assertEquals(Math.floor(div(-k,  -18)), Math.floor(-k /  -18));
    148     assertEquals(Math.floor(div(-k,  19)), Math.floor(-k /  19));
    149     assertEquals(Math.floor(div(-k,  -19)), Math.floor(-k /  -19));
    150     assertEquals(Math.floor(div(-k,  20)), Math.floor(-k /  20));
    151     assertEquals(Math.floor(div(-k,  -20)), Math.floor(-k /  -20));
    152     assertEquals(Math.floor(div(-k,  21)), Math.floor(-k /  21));
    153     assertEquals(Math.floor(div(-k,  -21)), Math.floor(-k /  -21));
    154     assertEquals(Math.floor(div(-k,  22)), Math.floor(-k /  22));
    155     assertEquals(Math.floor(div(-k,  -22)), Math.floor(-k /  -22));
    156     assertEquals(Math.floor(div(-k,  23)), Math.floor(-k /  23));
    157     assertEquals(Math.floor(div(-k,  -23)), Math.floor(-k /  -23));
    158     assertEquals(Math.floor(div(-k,  24)), Math.floor(-k /  24));
    159     assertEquals(Math.floor(div(-k,  -24)), Math.floor(-k /  -24));
    160     assertEquals(Math.floor(div(-k,  25)), Math.floor(-k /  25));
    161     assertEquals(Math.floor(div(-k,  -25)), Math.floor(-k /  -25));
    162     assertEquals(Math.floor(div(-k, 125)), Math.floor(-k / 125));
    163     assertEquals(Math.floor(div(-k, -125)), Math.floor(-k / -125));
    164     assertEquals(Math.floor(div(-k, 625)), Math.floor(-k / 625));
    165     assertEquals(Math.floor(div(-k, -625)), Math.floor(-k / -625));
    166   }
    167   // Test for edge cases.
    168   // Use (values[key] | 0) to force the integer type.
    169   for (var i = 0; i < values.length; i++) {
    170     for (var j = 0; j < values.length; j++) {
    171       assertEquals(Math.floor(div((values[i] | 0), (values[j] | 0))),
    172                    Math.floor((values[i] | 0) / (values[j] | 0)));
    173       assertEquals(Math.floor(div(-(values[i] | 0), (values[j] | 0))),
    174                    Math.floor(-(values[i] | 0) / (values[j] | 0)));
    175       assertEquals(Math.floor(div((values[i] | 0), -(values[j] | 0))),
    176                    Math.floor((values[i] | 0) / -(values[j] | 0)));
    177       assertEquals(Math.floor(div(-(values[i] | 0), -(values[j] | 0))),
    178                    Math.floor(-(values[i] | 0) / -(values[j] | 0)));
    179     }
    180   }
    181 }
    182 
    183 test_div();
    184 %OptimizeFunctionOnNextCall(test_div);
    185 test_div();
    186 
    187 // Test for flooring correctness.
    188 var values2 = [1, 3, 10, 99, 100, 101, 0x7fffffff];
    189 function test_div2() {
    190   for (var i = 0; i < values2.length; i++) {
    191     for (var j = 0; j < values2.length; j++) {
    192       assertEquals(Math.floor(div((values2[i] | 0), (values2[j] | 0))),
    193                    Math.floor((values2[i] | 0) / (values2[j] | 0)));
    194       assertEquals(Math.floor(div(-(values2[i] | 0), (values2[j] | 0))),
    195                    Math.floor(-(values2[i] | 0) / (values2[j] | 0)));
    196       assertEquals(Math.floor(div((values2[i] | 0), -(values2[j] | 0))),
    197                    Math.floor((values2[i] | 0) / -(values2[j] | 0)));
    198       assertEquals(Math.floor(div(-(values2[i] | 0), -(values2[j] | 0))),
    199                    Math.floor(-(values2[i] | 0) / -(values2[j] | 0)));
    200     }
    201   }
    202 }
    203 
    204 test_div2();
    205 %OptimizeFunctionOnNextCall(test_div2);
    206 test_div2();
    207 
    208 
    209 // Test for negative zero, overflow and division by 0.
    210 // Separate the tests to prevent deoptimizations from making the other optimized
    211 // test unreachable.
    212 
    213 // We box the value in an array to avoid constant propagation.
    214 var neg_one_in_array = [-1];
    215 var zero_in_array = [0];
    216 var min_int_in_array = [-2147483648];
    217 
    218 // Test for dividing by constant.
    219 function IsNegativeZero(x) {
    220   assertTrue(x == 0);  // Is 0 or -0.
    221   var y = 1 / x;
    222   assertFalse(isFinite(y));
    223   return y < 0;
    224 }
    225 
    226 function test_div_deopt_minus_zero() {
    227   for (var i = 0; i < 2; ++i) {
    228     assertTrue(IsNegativeZero(Math.floor((zero_in_array[0] | 0) / -1)));
    229   }
    230 }
    231 
    232 function test_div_deopt_overflow() {
    233   for (var i = 0; i < 2; ++i) {
    234     // We use '| 0' to force the representation to int32.
    235     assertEquals(-min_int_in_array[0],
    236                  Math.floor((min_int_in_array[0] | 0) / -1));
    237   }
    238 }
    239 
    240 function test_div_deopt_div_by_zero() {
    241   for (var i = 0; i < 2; ++i) {
    242     assertEquals(div(i, 0),
    243                  Math.floor(i / 0));
    244   }
    245 }
    246 
    247 test_div_deopt_minus_zero();
    248 test_div_deopt_overflow();
    249 test_div_deopt_div_by_zero();
    250 %OptimizeFunctionOnNextCall(test_div_deopt_minus_zero);
    251 %OptimizeFunctionOnNextCall(test_div_deopt_overflow);
    252 %OptimizeFunctionOnNextCall(test_div_deopt_div_by_zero);
    253 test_div_deopt_minus_zero();
    254 test_div_deopt_overflow();
    255 test_div_deopt_div_by_zero();
    256 
    257 // Test for dividing by variable.
    258 function test_div_deopt_minus_zero_v() {
    259   for (var i = 0; i < 2; ++i) {
    260     assertTrue(IsNegativeZero(Math.floor((zero_in_array[0] | 0) /
    261                neg_one_in_array[0])));
    262   }
    263 }
    264 
    265 function test_div_deopt_overflow_v() {
    266   for (var i = 0; i < 2; ++i) {
    267     // We use '| 0' to force the representation to int32.
    268     assertEquals(-min_int_in_array[0],
    269                  Math.floor((min_int_in_array[0] | 0) / neg_one_in_array[0]));
    270   }
    271 }
    272 
    273 function test_div_deopt_div_by_zero_v() {
    274   for (var i = 0; i < 2; ++i) {
    275     assertEquals(div(i, 0),
    276                  Math.floor(i / zero_in_array[0]));
    277   }
    278 }
    279 
    280 test_div_deopt_minus_zero_v();
    281 test_div_deopt_overflow_v();
    282 test_div_deopt_div_by_zero_v();
    283 %OptimizeFunctionOnNextCall(test_div_deopt_minus_zero_v);
    284 %OptimizeFunctionOnNextCall(test_div_deopt_overflow_v);
    285 %OptimizeFunctionOnNextCall(test_div_deopt_div_by_zero_v);
    286 test_div_deopt_minus_zero_v();
    287 test_div_deopt_overflow_v();
    288 test_div_deopt_div_by_zero_v();
    289 
    290 
    291 // Test for flooring division with negative dividend.
    292 function flooring_div_by_3(y) {
    293   return Math.floor(y / 3);
    294 }
    295 
    296 assertEquals(-1, flooring_div_by_3(-2));
    297 assertEquals(-1, flooring_div_by_3(-2));
    298 %OptimizeFunctionOnNextCall(flooring_div_by_3);
    299 assertEquals(-1, flooring_div_by_3(-2));
    300