// Protocol Buffers - Google's data interchange format // Copyright 2008 Google Inc. All rights reserved. // https://developers.google.com/protocol-buffers/ // // Redistribution and use in source and binary forms, with or without // modification, are permitted provided that the following conditions are // met: // // * Redistributions of source code must retain the above copyright // notice, this list of conditions and the following disclaimer. // * Redistributions in binary form must reproduce the above // copyright notice, this list of conditions and the following disclaimer // in the documentation and/or other materials provided with the // distribution. // * Neither the name of Google Inc. nor the names of its // contributors may be used to endorse or promote products derived from // this software without specific prior written permission. // // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS // "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. /** * @fileoverview Test cases for Int64-manipulation functions. * * Test suite is written using Jasmine -- see http://jasmine.github.io/ * * @author cfallin@google.com (Chris Fallin) */ goog.require('goog.testing.asserts'); goog.require('jspb.arith.Int64'); goog.require('jspb.arith.UInt64'); describe('binaryArithTest', function() { /** * Tests comparison operations. */ it('testCompare', function() { var a = new jspb.arith.UInt64(1234, 5678); var b = new jspb.arith.UInt64(1234, 5678); assertEquals(a.cmp(b), 0); assertEquals(b.cmp(a), 0); b.lo -= 1; assertEquals(a.cmp(b), 1); assertEquals(b.cmp(a), -1); b.lo += 2; assertEquals(a.cmp(b), -1); assertEquals(b.cmp(a), 1); b.lo = a.lo; b.hi = a.hi - 1; assertEquals(a.cmp(b), 1); assertEquals(b.cmp(a), -1); assertEquals(a.zero(), false); assertEquals(a.msb(), false); assertEquals(a.lsb(), false); a.hi = 0; a.lo = 0; assertEquals(a.zero(), true); a.hi = 0x80000000; assertEquals(a.zero(), false); assertEquals(a.msb(), true); a.lo = 0x00000001; assertEquals(a.lsb(), true); }); /** * Tests shifts. */ it('testShifts', function() { var a = new jspb.arith.UInt64(1, 0); assertEquals(a.lo, 1); assertEquals(a.hi, 0); var orig = a; a = a.leftShift(); assertEquals(orig.lo, 1); // original unmodified. assertEquals(orig.hi, 0); assertEquals(a.lo, 2); assertEquals(a.hi, 0); a = a.leftShift(); assertEquals(a.lo, 4); assertEquals(a.hi, 0); for (var i = 0; i < 29; i++) { a = a.leftShift(); } assertEquals(a.lo, 0x80000000); assertEquals(a.hi, 0); a = a.leftShift(); assertEquals(a.lo, 0); assertEquals(a.hi, 1); a = a.leftShift(); assertEquals(a.lo, 0); assertEquals(a.hi, 2); a = a.rightShift(); a = a.rightShift(); assertEquals(a.lo, 0x80000000); assertEquals(a.hi, 0); a = a.rightShift(); assertEquals(a.lo, 0x40000000); assertEquals(a.hi, 0); }); /** * Tests additions. */ it('testAdd', function() { var a = new jspb.arith.UInt64(/* lo = */ 0x89abcdef, /* hi = */ 0x01234567); var b = new jspb.arith.UInt64(/* lo = */ 0xff52ab91, /* hi = */ 0x92fa2123); // Addition with carry. var c = a.add(b); assertEquals(a.lo, 0x89abcdef); // originals unmodified. assertEquals(a.hi, 0x01234567); assertEquals(b.lo, 0xff52ab91); assertEquals(b.hi, 0x92fa2123); assertEquals(c.lo, 0x88fe7980); assertEquals(c.hi, 0x941d668b); // Simple addition without carry. a.lo = 2; a.hi = 0; b.lo = 3; b.hi = 0; c = a.add(b); assertEquals(c.lo, 5); assertEquals(c.hi, 0); }); /** * Test subtractions. */ it('testSub', function() { var kLength = 10; var hiValues = [0x1682ef32, 0x583902f7, 0xb62f5955, 0x6ea99bbf, 0x25a39c20, 0x0700a08b, 0x00f7304d, 0x91a5b5af, 0x89077fd2, 0xe09e347c]; var loValues = [0xe1538b18, 0xbeacd556, 0x74100758, 0x96e3cb26, 0x56c37c3f, 0xe00b3f7d, 0x859f25d7, 0xc2ee614a, 0xe1d21cd7, 0x30aae6a4]; for (var i = 0; i < kLength; i++) { for (var j = 0; j < kLength; j++) { var a = new jspb.arith.UInt64(loValues[i], hiValues[j]); var b = new jspb.arith.UInt64(loValues[j], hiValues[i]); var c = a.add(b).sub(b); assertEquals(c.hi, a.hi); assertEquals(c.lo, a.lo); } } }); /** * Tests 32-by-32 multiplication. */ it('testMul32x32', function() { var testData = [ // a b low(a*b) high(a*b) [0xc0abe2f8, 0x1607898a, 0x5de711b0, 0x109471b8], [0x915eb3cb, 0x4fb66d0e, 0xbd0d441a, 0x2d43d0bc], [0xfe4efe70, 0x80b48c37, 0xbcddea10, 0x7fdada0c], [0xe222fd4a, 0xe43d524a, 0xd5e0eb64, 0xc99d549c], [0xd171f469, 0xb94ebd01, 0x4be17969, 0x979bc4fa], [0x829cc1df, 0xe2598b38, 0xf4157dc8, 0x737c12ad], [0xf10c3767, 0x8382881e, 0x942b3612, 0x7bd428b8], [0xb0f6dd24, 0x232597e1, 0x079c98a4, 0x184bbce7], [0xfcdb05a7, 0x902f55bc, 0x636199a4, 0x8e69f412], [0x0dd0bfa9, 0x916e27b1, 0x6e2542d9, 0x07d92e65] ]; for (var i = 0; i < testData.length; i++) { var a = testData[i][0] >>> 0; var b = testData[i][1] >>> 0; var cLow = testData[i][2] >>> 0; var cHigh = testData[i][3] >>> 0; var c = jspb.arith.UInt64.mul32x32(a, b); assertEquals(c.lo, cLow); assertEquals(c.hi, cHigh); } }); /** * Tests 64-by-32 multiplication. */ it('testMul', function() { // 64x32 bits produces 96 bits of product. The multiplication function under // test truncates the top 32 bits, so we compare against a 64-bit expected // product. var testData = [ // low(a) high(a) low(a*b) high(a*b) [0xec10955b, 0x360eb168, 0x4b7f3f5b, 0xbfcb7c59, 0x9517da5f], [0x42b000fc, 0x9d101642, 0x6fa1ab72, 0x2584c438, 0x6a9e6d2b], [0xf42d4fb4, 0xae366403, 0xa65a1000, 0x92434000, 0x1ff978df], [0x17e2f56b, 0x25487693, 0xf13f98c7, 0x73794e2d, 0xa96b0c6a], [0x492f241f, 0x76c0eb67, 0x7377ac44, 0xd4336c3c, 0xfc4b1ebe], [0xd6b92321, 0xe184fa48, 0xd6e76904, 0x93141584, 0xcbf44da1], [0x4bf007ea, 0x968c0a9e, 0xf5e4026a, 0x4fdb1ae4, 0x61b9fb7d], [0x10a83be7, 0x2d685ba6, 0xc9e5fb7f, 0x2ad43499, 0x3742473d], [0x2f261829, 0x1aca681a, 0x3d3494e3, 0x8213205b, 0x283719f8], [0xe4f2ce21, 0x2e74b7bd, 0xd801b38b, 0xbc17feeb, 0xc6c44e0f] ]; for (var i = 0; i < testData.length; i++) { var a = new jspb.arith.UInt64(testData[i][0], testData[i][1]); var prod = a.mul(testData[i][2]); assertEquals(prod.lo, testData[i][3]); assertEquals(prod.hi, testData[i][4]); } }); /** * Tests 64-div-by-32 division. */ it('testDiv', function() { // Compute a/b, yielding quot = a/b and rem = a%b. var testData = [ // --- divisors in (0, 2^32-1) to test full divisor range // low(a) high(a) b low(quot) high(quot) rem [0x712443f1, 0xe85cefcc, 0xc1a7050b, 0x332c79ad, 0x00000001, 0x92ffa882], [0x11912915, 0xb2699eb5, 0x30467cbe, 0xb21b4be4, 0x00000003, 0x283465dd], [0x0d917982, 0x201f2a6e, 0x3f35bf03, 0x8217c8e4, 0x00000000, 0x153402d6], [0xa072c108, 0x74020c96, 0xc60568fd, 0x95f9613e, 0x00000000, 0x3f4676c2], [0xd845d5d8, 0xcdd235c4, 0x20426475, 0x6154e78b, 0x00000006, 0x202fb751], [0xa4dbf71f, 0x9e90465e, 0xf08e022f, 0xa8be947f, 0x00000000, 0xbe43b5ce], [0x3dbe627f, 0xa791f4b9, 0x28a5bd89, 0x1f5dfe93, 0x00000004, 0x02bf9ed4], [0x5c1c53ee, 0xccf5102e, 0x198576e7, 0x07e3ae31, 0x00000008, 0x02ea8fb7], [0xfef1e581, 0x04714067, 0xca6540c1, 0x059e73ec, 0x00000000, 0x31658095], [0x1e2dd90c, 0x13dd6667, 0x8b2184c3, 0x248d1a42, 0x00000000, 0x4ca6d0c6], // --- divisors in (0, 2^16-1) to test larger quotient high-words // low(a) high(a) b low(quot) high(quot) rem [0x86722b47, 0x2cd57c9a, 0x00003123, 0x2ae41b7a, 0x0000e995, 0x00000f99], [0x1dd7884c, 0xf5e839bc, 0x00009eeb, 0x5c886242, 0x00018c21, 0x000099b6], [0x5c53d625, 0x899fc7e5, 0x000087d7, 0xd625007a, 0x0001035c, 0x000019af], [0x6932d932, 0x9d0a5488, 0x000051fb, 0x9d976143, 0x0001ea63, 0x00004981], [0x4d18bb85, 0x0c92fb31, 0x00001d9f, 0x03265ab4, 0x00006cac, 0x000001b9], [0xbe756768, 0xdea67ccb, 0x00008a03, 0x58add442, 0x00019cff, 0x000056a2], [0xe2466f9a, 0x2521f114, 0x0000c350, 0xa0c0860d, 0x000030ab, 0x0000a48a], [0xf00ddad1, 0xe2f5446a, 0x00002cfc, 0x762697a6, 0x00050b96, 0x00000b69], [0xa879152a, 0x0a70e0a5, 0x00007cdf, 0xb44151b3, 0x00001567, 0x0000363d], [0x7179a74c, 0x46083fff, 0x0000253c, 0x4d39ba6e, 0x0001e17f, 0x00000f84] ]; for (var i = 0; i < testData.length; i++) { var a = new jspb.arith.UInt64(testData[i][0], testData[i][1]); var result = a.div(testData[i][2]); var quotient = result[0]; var remainder = result[1]; assertEquals(quotient.lo, testData[i][3]); assertEquals(quotient.hi, testData[i][4]); assertEquals(remainder.lo, testData[i][5]); } }); /** * Tests .toString() and .fromString(). */ it('testStrings', function() { var testData = [ [0x5e84c935, 0xcae33d0e, '14619595947299359029'], [0x62b3b8b8, 0x93480544, '10612738313170434232'], [0x319bfb13, 0xc01c4172, '13843011313344445203'], [0x5b8a65fb, 0xa5885b31, '11927883880638080507'], [0x6bdb80f1, 0xb0d1b16b, '12741159895737008369'], [0x4b82b442, 0x2e0d8c97, '3318463081876730946'], [0x780d5208, 0x7d76752c, '9040542135845999112'], [0x2e46800f, 0x0993778d, '690026616168284175'], [0xf00a7e32, 0xcd8e3931, '14811839111111540274'], [0x1baeccd6, 0x923048c4, '10533999535534820566'], [0x03669d29, 0xbff3ab72, '13831587386756603177'], [0x2526073e, 0x01affc81, '121593346566522686'], [0xc24244e0, 0xd7f40d0e, '15561076969511732448'], [0xc56a341e, 0xa68b66a7, '12000798502816461854'], [0x8738d64d, 0xbfe78604, '13828168534871037517'], [0x5baff03b, 0xd7572aea, '15516918227177304123'], [0x4a843d8a, 0x864e132b, '9677693725920476554'], [0x25b4e94d, 0x22b54dc6, '2500990681505655117'], [0x6bbe664b, 0x55a5cc0e, '6171563226690381387'], [0xee916c81, 0xb00aabb3, '12685140089732426881'] ]; for (var i = 0; i < testData.length; i++) { var a = new jspb.arith.UInt64(testData[i][0], testData[i][1]); var roundtrip = jspb.arith.UInt64.fromString(a.toString()); assertEquals(roundtrip.lo, a.lo); assertEquals(roundtrip.hi, a.hi); assertEquals(a.toString(), testData[i][2]); } }); /** * Tests signed Int64s. These are built on UInt64s, so we only need to test * the explicit overrides: .toString() and .fromString(). */ it('testSignedInt64', function() { var testStrings = [ '-7847499644178593666', '3771946501229139523', '2872856549054995060', '-5780049594274350904', '3383785956695105201', '2973055184857072610', '-3879428459215627206', '4589812431064156631', '8484075557333689940', '1075325817098092407', '-4346697501012292314', '2488620459718316637', '6112655187423520672', '-3655278273928612104', '3439154019435803196', '1004112478843763757', '-6587790776614368413', '664320065099714586', '4760412909973292912', '-7911903989602274672' ]; for (var i = 0; i < testStrings.length; i++) { var roundtrip = jspb.arith.Int64.fromString(testStrings[i]).toString(); assertEquals(roundtrip, testStrings[i]); } }); });