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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
     19 // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
     20 // OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
     21 // SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
     22 // LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
     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 assertTrue(isNaN(Math.hypot({})));
     29 assertTrue(isNaN(Math.hypot(undefined, 1)));
     30 assertTrue(isNaN(Math.hypot(1, undefined)));
     31 assertTrue(isNaN(Math.hypot(Math.hypot, 1)));
     32 assertEquals(1, Math.hypot(1));
     33 assertEquals(Math.PI, Math.hypot(Math.PI));
     34 assertEquals(5, Math.hypot(3, 4));
     35 assertEquals(13, Math.hypot(3, 4, 12));
     36 assertEquals(15, Math.hypot(" 2 ",
     37                             "0x5",
     38                             { valueOf: function() { return "0xe"; } }));
     39 assertEquals(17, Math.hypot({ valueOf: function() { return 1; } },
     40                             { toString: function() { return 12; } },
     41                             { toString: function() { return "12"; } }));
     42 
     43 // Check function length.
     44 assertEquals(2, Math.hypot.length);
     45 
     46 // Check that 0 is returned for no arguments.
     47 assertEquals(0, Math.hypot());
     48 
     49 // Check that Infinity is returned if any of the arguments is +/-Infinity.
     50 assertEquals("Infinity", String(Math.hypot(NaN, Infinity)));
     51 assertEquals("Infinity", String(Math.hypot(1, -Infinity, 2)));
     52 
     53 // Check that NaN is returned if any argument is NaN and none is +/-Infinity/
     54 assertTrue(isNaN(Math.hypot(1, 2, NaN)));
     55 assertTrue(isNaN(Math.hypot(NaN, NaN, 4)));
     56 
     57 // Check that +0 is returned if all arguments are +/-0.
     58 assertEquals("Infinity", String(1/Math.hypot(-0)));
     59 assertEquals("Infinity", String(1/Math.hypot(0)));
     60 assertEquals("Infinity", String(1/Math.hypot(-0, -0)));
     61 assertEquals("Infinity", String(1/Math.hypot(-0, 0)));
     62 
     63 // Check that we avoid overflows and underflows.
     64 assertEqualsDelta(5E300, Math.hypot(3E300, 4E300), 1E285);
     65 assertEqualsDelta(17E-300, Math.hypot(8E-300, 15E-300), 1E-315);
     66 assertEqualsDelta(19E300, Math.hypot(6E300, 6E300, 17E300), 1E285);
     67 
     68 // Check that we sufficiently account for rounding errors when summing up.
     69 // For this, we calculate a simple fractal square that recurses in the
     70 // fourth quarter.
     71 var fractals = [];
     72 var edge_length = Math.E * 1E20;
     73 
     74 var fractal_length = edge_length;
     75 while(fractal_length >= 1) {
     76   fractal_length *= 0.5;
     77   fractals.push(fractal_length);
     78   fractals.push(fractal_length);
     79   fractals.push(fractal_length);
     80 }
     81 
     82 fractals.push(fractal_length);
     83 assertEqualsDelta(edge_length, Math.hypot.apply(Math, fractals), 1E-15);
     84 fractals.reverse();
     85 assertEqualsDelta(edge_length, Math.hypot.apply(Math, fractals), 1E-15);
     86 // Also shuffle the array.
     87 var c = 0;
     88 function random_sort(a, b) { c++; return (c & 3) - 1.5; }
     89 fractals.sort(random_sort);
     90 assertEqualsDelta(edge_length, Math.hypot.apply(Math, fractals), 1E-15);
     91 fractals.sort(random_sort);
     92 assertEqualsDelta(edge_length, Math.hypot.apply(Math, fractals), 1E-15);
     93