| /** |
| * Licensed to the Apache Software Foundation (ASF) under one |
| * or more contributor license agreements. See the NOTICE file |
| * distributed with this work for additional information |
| * regarding copyright ownership. The ASF licenses this file |
| * to you under the Apache License, Version 2.0 (the |
| * "License"); you may not use this file except in compliance |
| * with the License. You may obtain a copy of the License at |
| * |
| * http://www.apache.org/licenses/LICENSE-2.0 |
| * |
| * Unless required by applicable law or agreed to in writing, software |
| * distributed under the License is distributed on an "AS IS" BASIS, |
| * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. |
| * See the License for the specific language governing permissions and |
| * limitations under the License. |
| */ |
| package org.apache.hadoop.examples.terasort; |
| |
| /** |
| * This class implements a 128-bit linear congruential generator. |
| * Specifically, if X0 is the most recently issued 128-bit random |
| * number (or a seed of 0 if no random number has already been generated, |
| * the next number to be generated, X1, is equal to: |
| * X1 = (a * X0 + c) mod 2**128 |
| * where a is 47026247687942121848144207491837523525 |
| * or 0x2360ed051fc65da44385df649fccf645 |
| * and c is 98910279301475397889117759788405497857 |
| * or 0x4a696d47726179524950202020202001 |
| * The coefficient "a" is suggested by: |
| * Pierre L'Ecuyer, "Tables of linear congruential generators of different |
| * sizes and good lattice structure", Mathematics of Computation, 68 |
| * pp. 249 - 260 (1999) |
| * http://www.ams.org/mcom/1999-68-225/S0025-5718-99-00996-5/S0025-5718-99-00996-5.pdf |
| * The constant "c" meets the simple suggestion by the same reference that |
| * it be odd. |
| * |
| * There is also a facility for quickly advancing the state of the |
| * generator by a fixed number of steps - this facilitates parallel |
| * generation. |
| * |
| * This is based on 1.0 of rand16.c from Chris Nyberg |
| * <chris.nyberg@ordinal.com>. |
| */ |
| class Random16 { |
| |
| /** |
| * The "Gen" array contain powers of 2 of the linear congruential generator. |
| * The index 0 struct contain the "a" coefficient and "c" constant for the |
| * generator. That is, the generator is: |
| * f(x) = (Gen[0].a * x + Gen[0].c) mod 2**128 |
| * |
| * All structs after the first contain an "a" and "c" that |
| * comprise the square of the previous function. |
| * |
| * f**2(x) = (Gen[1].a * x + Gen[1].c) mod 2**128 |
| * f**4(x) = (Gen[2].a * x + Gen[2].c) mod 2**128 |
| * f**8(x) = (Gen[3].a * x + Gen[3].c) mod 2**128 |
| * ... |
| |
| */ |
| private static class RandomConstant { |
| final Unsigned16 a; |
| final Unsigned16 c; |
| public RandomConstant(String left, String right) { |
| a = new Unsigned16(left); |
| c = new Unsigned16(right); |
| } |
| } |
| |
| private static final RandomConstant[] genArray = new RandomConstant[]{ |
| /* [ 0] */ new RandomConstant("2360ed051fc65da44385df649fccf645", |
| "4a696d47726179524950202020202001"), |
| /* [ 1] */ new RandomConstant("17bce35bdf69743c529ed9eb20e0ae99", |
| "95e0e48262b3edfe04479485c755b646"), |
| /* [ 2] */ new RandomConstant("f4dd417327db7a9bd194dfbe42d45771", |
| "882a02c315362b60765f100068b33a1c"), |
| /* [ 3] */ new RandomConstant("6347af777a7898f6d1a2d6f33505ffe1", |
| "5efc4abfaca23e8ca8edb1f2dfbf6478"), |
| /* [ 4] */ new RandomConstant("b6a4239f3b315f84f6ef6d3d288c03c1", |
| "f25bd15439d16af594c1b1bafa6239f0"), |
| /* [ 5] */ new RandomConstant("2c82901ad1cb0cd182b631ba6b261781", |
| "89ca67c29c9397d59c612596145db7e0"), |
| /* [ 6] */ new RandomConstant("dab03f988288676ee49e66c4d2746f01", |
| "8b6ae036713bd578a8093c8eae5c7fc0"), |
| /* [ 7] */ new RandomConstant("602167331d86cf5684fe009a6d09de01", |
| "98a2542fd23d0dbdff3b886cdb1d3f80"), |
| /* [ 8] */ new RandomConstant("61ecb5c24d95b058f04c80a23697bc01", |
| "954db923fdb7933e947cd1edcecb7f00"), |
| /* [ 9] */ new RandomConstant("4a5c31e0654c28aa60474e83bf3f7801", |
| "00be4a36657c98cd204e8c8af7dafe00"), |
| /* [ 10] */ new RandomConstant("ae4f079d54fbece1478331d3c6bef001", |
| "991965329dccb28d581199ab18c5fc00"), |
| /* [ 11] */ new RandomConstant("101b8cb830c7cb927ff1ed50ae7de001", |
| "e1a8705b63ad5b8cd6c3d268d5cbf800"), |
| /* [ 12] */ new RandomConstant("f54a27fc056b00e7563f3505e0fbc001", |
| "2b657bbfd6ed9d632079e70c3c97f000"), |
| /* [ 13] */ new RandomConstant("df8a6fc1a833d201f98d719dd1f78001", |
| "59b60ee4c52fa49e9fe90682bd2fe000"), |
| /* [ 14] */ new RandomConstant("5480a5015f101a4ea7e3f183e3ef0001", |
| "cc099c88030679464fe86aae8a5fc000"), |
| /* [ 15] */ new RandomConstant("a498509e76e5d7925f539c28c7de0001", |
| "06b9abff9f9f33dd30362c0154bf8000"), |
| /* [ 16] */ new RandomConstant("0798a3d8b10dc72e60121cd58fbc0001", |
| "e296707121688d5a0260b293a97f0000"), |
| /* [ 17] */ new RandomConstant("1647d1e78ec02e665fafcbbb1f780001", |
| "189ffc4701ff23cb8f8acf6b52fe0000"), |
| /* [ 18] */ new RandomConstant("a7c982285e72bf8c0c8ddfb63ef00001", |
| "5141110ab208fb9d61fb47e6a5fc0000"), |
| /* [ 19] */ new RandomConstant("3eb78ee8fb8c56dbc5d4e06c7de00001", |
| "3c97caa62540f2948d8d340d4bf80000"), |
| /* [ 20] */ new RandomConstant("72d03b6f4681f2f9fe8e44d8fbc00001", |
| "1b25cb9cfe5a0c963174f91a97f00000"), |
| /* [ 21] */ new RandomConstant("ea85f81e4f502c9bc8ae99b1f7800001", |
| "0c644570b4a487103c5436352fe00000"), |
| /* [ 22] */ new RandomConstant("629c320db08b00c6bfa57363ef000001", |
| "3d0589c28869472bde517c6a5fc00000"), |
| /* [ 23] */ new RandomConstant("c5c4b9ce268d074a386be6c7de000001", |
| "bc95e5ab36477e65534738d4bf800000"), |
| /* [ 24] */ new RandomConstant("f30bbbbed1596187555bcd8fbc000001", |
| "ddb02ff72a031c01011f71a97f000000"), |
| /* [ 25] */ new RandomConstant("4a1000fb26c9eeda3cc79b1f78000001", |
| "2561426086d9acdb6c82e352fe000000"), |
| /* [ 26] */ new RandomConstant("89fb5307f6bf8ce2c1cf363ef0000001", |
| "64a788e3c118ed1c8215c6a5fc000000"), |
| /* [ 27] */ new RandomConstant("830b7b3358a5d67ea49e6c7de0000001", |
| "e65ea321908627cfa86b8d4bf8000000"), |
| /* [ 28] */ new RandomConstant("fd8a51da91a69fe1cd3cd8fbc0000001", |
| "53d27225604d85f9e1d71a97f0000000"), |
| /* [ 29] */ new RandomConstant("901a48b642b90b55aa79b1f780000001", |
| "ca5ec7a3ed1fe55e07ae352fe0000000"), |
| /* [ 30] */ new RandomConstant("118cdefdf32144f394f363ef00000001", |
| "4daebb2e085330651f5c6a5fc0000000"), |
| /* [ 31] */ new RandomConstant("0a88c0a91cff430829e6c7de00000001", |
| "9d6f1a00a8f3f76e7eb8d4bf80000000"), |
| /* [ 32] */ new RandomConstant("433bef4314f16a9453cd8fbc00000001", |
| "158c62f2b31e496dfd71a97f00000000"), |
| /* [ 33] */ new RandomConstant("c294b02995ae6738a79b1f7800000001", |
| "290e84a2eb15fd1ffae352fe00000000"), |
| /* [ 34] */ new RandomConstant("913575e0da8b16b14f363ef000000001", |
| "e3dc1bfbe991a34ff5c6a5fc00000000"), |
| /* [ 35] */ new RandomConstant("2f61b9f871cf4e629e6c7de000000001", |
| "ddf540d020b9eadfeb8d4bf800000000"), |
| /* [ 36] */ new RandomConstant("78d26ccbd68320c53cd8fbc000000001", |
| "8ee4950177ce66bfd71a97f000000000"), |
| /* [ 37] */ new RandomConstant("8b7ebd037898518a79b1f78000000001", |
| "39e0f787c907117fae352fe000000000"), |
| /* [ 38] */ new RandomConstant("0b5507b61f78e314f363ef0000000001", |
| "659d2522f7b732ff5c6a5fc000000000"), |
| /* [ 39] */ new RandomConstant("4f884628f812c629e6c7de0000000001", |
| "9e8722938612a5feb8d4bf8000000000"), |
| /* [ 40] */ new RandomConstant("be896744d4a98c53cd8fbc0000000001", |
| "e941a65d66b64bfd71a97f0000000000"), |
| /* [ 41] */ new RandomConstant("daf63a553b6318a79b1f780000000001", |
| "7b50d19437b097fae352fe0000000000"), |
| /* [ 42] */ new RandomConstant("2d7a23d8bf06314f363ef00000000001", |
| "59d7b68e18712ff5c6a5fc0000000000"), |
| /* [ 43] */ new RandomConstant("392b046a9f0c629e6c7de00000000001", |
| "4087bab2d5225feb8d4bf80000000000"), |
| /* [ 44] */ new RandomConstant("eb30fbb9c218c53cd8fbc00000000001", |
| "b470abc03b44bfd71a97f00000000000"), |
| /* [ 45] */ new RandomConstant("b9cdc30594318a79b1f7800000000001", |
| "366630eaba897fae352fe00000000000"), |
| /* [ 46] */ new RandomConstant("014ab453686314f363ef000000000001", |
| "a2dfc77e8512ff5c6a5fc00000000000"), |
| /* [ 47] */ new RandomConstant("395221c7d0c629e6c7de000000000001", |
| "1e0d25a14a25feb8d4bf800000000000"), |
| /* [ 48] */ new RandomConstant("4d972813a18c53cd8fbc000000000001", |
| "9d50a5d3944bfd71a97f000000000000"), |
| /* [ 49] */ new RandomConstant("06f9e2374318a79b1f78000000000001", |
| "bf7ab5eb2897fae352fe000000000000"), |
| /* [ 50] */ new RandomConstant("bd220cae86314f363ef0000000000001", |
| "925b14e6512ff5c6a5fc000000000000"), |
| /* [ 51] */ new RandomConstant("36fd3a5d0c629e6c7de0000000000001", |
| "724cce0ca25feb8d4bf8000000000000"), |
| /* [ 52] */ new RandomConstant("60def8ba18c53cd8fbc0000000000001", |
| "1af42d1944bfd71a97f0000000000000"), |
| /* [ 53] */ new RandomConstant("8d500174318a79b1f780000000000001", |
| "0f529e32897fae352fe0000000000000"), |
| /* [ 54] */ new RandomConstant("48e842e86314f363ef00000000000001", |
| "844e4c6512ff5c6a5fc0000000000000"), |
| /* [ 55] */ new RandomConstant("4af185d0c629e6c7de00000000000001", |
| "9f40d8ca25feb8d4bf80000000000000"), |
| /* [ 56] */ new RandomConstant("7a670ba18c53cd8fbc00000000000001", |
| "9912b1944bfd71a97f00000000000000"), |
| /* [ 57] */ new RandomConstant("86de174318a79b1f7800000000000001", |
| "9c69632897fae352fe00000000000000"), |
| /* [ 58] */ new RandomConstant("55fc2e86314f363ef000000000000001", |
| "e1e2c6512ff5c6a5fc00000000000000"), |
| /* [ 59] */ new RandomConstant("ccf85d0c629e6c7de000000000000001", |
| "68058ca25feb8d4bf800000000000000"), |
| /* [ 60] */ new RandomConstant("1df0ba18c53cd8fbc000000000000001", |
| "610b1944bfd71a97f000000000000000"), |
| /* [ 61] */ new RandomConstant("4be174318a79b1f78000000000000001", |
| "061632897fae352fe000000000000000"), |
| /* [ 62] */ new RandomConstant("d7c2e86314f363ef0000000000000001", |
| "1c2c6512ff5c6a5fc000000000000000"), |
| /* [ 63] */ new RandomConstant("af85d0c629e6c7de0000000000000001", |
| "7858ca25feb8d4bf8000000000000000"), |
| /* [ 64] */ new RandomConstant("5f0ba18c53cd8fbc0000000000000001", |
| "f0b1944bfd71a97f0000000000000000"), |
| /* [ 65] */ new RandomConstant("be174318a79b1f780000000000000001", |
| "e1632897fae352fe0000000000000000"), |
| /* [ 66] */ new RandomConstant("7c2e86314f363ef00000000000000001", |
| "c2c6512ff5c6a5fc0000000000000000"), |
| /* [ 67] */ new RandomConstant("f85d0c629e6c7de00000000000000001", |
| "858ca25feb8d4bf80000000000000000"), |
| /* [ 68] */ new RandomConstant("f0ba18c53cd8fbc00000000000000001", |
| "0b1944bfd71a97f00000000000000000"), |
| /* [ 69] */ new RandomConstant("e174318a79b1f7800000000000000001", |
| "1632897fae352fe00000000000000000"), |
| /* [ 70] */ new RandomConstant("c2e86314f363ef000000000000000001", |
| "2c6512ff5c6a5fc00000000000000000"), |
| /* [ 71] */ new RandomConstant("85d0c629e6c7de000000000000000001", |
| "58ca25feb8d4bf800000000000000000"), |
| /* [ 72] */ new RandomConstant("0ba18c53cd8fbc000000000000000001", |
| "b1944bfd71a97f000000000000000000"), |
| /* [ 73] */ new RandomConstant("174318a79b1f78000000000000000001", |
| "632897fae352fe000000000000000000"), |
| /* [ 74] */ new RandomConstant("2e86314f363ef0000000000000000001", |
| "c6512ff5c6a5fc000000000000000000"), |
| /* [ 75] */ new RandomConstant("5d0c629e6c7de0000000000000000001", |
| "8ca25feb8d4bf8000000000000000000"), |
| /* [ 76] */ new RandomConstant("ba18c53cd8fbc0000000000000000001", |
| "1944bfd71a97f0000000000000000000"), |
| /* [ 77] */ new RandomConstant("74318a79b1f780000000000000000001", |
| "32897fae352fe0000000000000000000"), |
| /* [ 78] */ new RandomConstant("e86314f363ef00000000000000000001", |
| "6512ff5c6a5fc0000000000000000000"), |
| /* [ 79] */ new RandomConstant("d0c629e6c7de00000000000000000001", |
| "ca25feb8d4bf80000000000000000000"), |
| /* [ 80] */ new RandomConstant("a18c53cd8fbc00000000000000000001", |
| "944bfd71a97f00000000000000000000"), |
| /* [ 81] */ new RandomConstant("4318a79b1f7800000000000000000001", |
| "2897fae352fe00000000000000000000"), |
| /* [ 82] */ new RandomConstant("86314f363ef000000000000000000001", |
| "512ff5c6a5fc00000000000000000000"), |
| /* [ 83] */ new RandomConstant("0c629e6c7de000000000000000000001", |
| "a25feb8d4bf800000000000000000000"), |
| /* [ 84] */ new RandomConstant("18c53cd8fbc000000000000000000001", |
| "44bfd71a97f000000000000000000000"), |
| /* [ 85] */ new RandomConstant("318a79b1f78000000000000000000001", |
| "897fae352fe000000000000000000000"), |
| /* [ 86] */ new RandomConstant("6314f363ef0000000000000000000001", |
| "12ff5c6a5fc000000000000000000000"), |
| /* [ 87] */ new RandomConstant("c629e6c7de0000000000000000000001", |
| "25feb8d4bf8000000000000000000000"), |
| /* [ 88] */ new RandomConstant("8c53cd8fbc0000000000000000000001", |
| "4bfd71a97f0000000000000000000000"), |
| /* [ 89] */ new RandomConstant("18a79b1f780000000000000000000001", |
| "97fae352fe0000000000000000000000"), |
| /* [ 90] */ new RandomConstant("314f363ef00000000000000000000001", |
| "2ff5c6a5fc0000000000000000000000"), |
| /* [ 91] */ new RandomConstant("629e6c7de00000000000000000000001", |
| "5feb8d4bf80000000000000000000000"), |
| /* [ 92] */ new RandomConstant("c53cd8fbc00000000000000000000001", |
| "bfd71a97f00000000000000000000000"), |
| /* [ 93] */ new RandomConstant("8a79b1f7800000000000000000000001", |
| "7fae352fe00000000000000000000000"), |
| /* [ 94] */ new RandomConstant("14f363ef000000000000000000000001", |
| "ff5c6a5fc00000000000000000000000"), |
| /* [ 95] */ new RandomConstant("29e6c7de000000000000000000000001", |
| "feb8d4bf800000000000000000000000"), |
| /* [ 96] */ new RandomConstant("53cd8fbc000000000000000000000001", |
| "fd71a97f000000000000000000000000"), |
| /* [ 97] */ new RandomConstant("a79b1f78000000000000000000000001", |
| "fae352fe000000000000000000000000"), |
| /* [ 98] */ new RandomConstant("4f363ef0000000000000000000000001", |
| "f5c6a5fc000000000000000000000000"), |
| /* [ 99] */ new RandomConstant("9e6c7de0000000000000000000000001", |
| "eb8d4bf8000000000000000000000000"), |
| /* [100] */ new RandomConstant("3cd8fbc0000000000000000000000001", |
| "d71a97f0000000000000000000000000"), |
| /* [101] */ new RandomConstant("79b1f780000000000000000000000001", |
| "ae352fe0000000000000000000000000"), |
| /* [102] */ new RandomConstant("f363ef00000000000000000000000001", |
| "5c6a5fc0000000000000000000000000"), |
| /* [103] */ new RandomConstant("e6c7de00000000000000000000000001", |
| "b8d4bf80000000000000000000000000"), |
| /* [104] */ new RandomConstant("cd8fbc00000000000000000000000001", |
| "71a97f00000000000000000000000000"), |
| /* [105] */ new RandomConstant("9b1f7800000000000000000000000001", |
| "e352fe00000000000000000000000000"), |
| /* [106] */ new RandomConstant("363ef000000000000000000000000001", |
| "c6a5fc00000000000000000000000000"), |
| /* [107] */ new RandomConstant("6c7de000000000000000000000000001", |
| "8d4bf800000000000000000000000000"), |
| /* [108] */ new RandomConstant("d8fbc000000000000000000000000001", |
| "1a97f000000000000000000000000000"), |
| /* [109] */ new RandomConstant("b1f78000000000000000000000000001", |
| "352fe000000000000000000000000000"), |
| /* [110] */ new RandomConstant("63ef0000000000000000000000000001", |
| "6a5fc000000000000000000000000000"), |
| /* [111] */ new RandomConstant("c7de0000000000000000000000000001", |
| "d4bf8000000000000000000000000000"), |
| /* [112] */ new RandomConstant("8fbc0000000000000000000000000001", |
| "a97f0000000000000000000000000000"), |
| /* [113] */ new RandomConstant("1f780000000000000000000000000001", |
| "52fe0000000000000000000000000000"), |
| /* [114] */ new RandomConstant("3ef00000000000000000000000000001", |
| "a5fc0000000000000000000000000000"), |
| /* [115] */ new RandomConstant("7de00000000000000000000000000001", |
| "4bf80000000000000000000000000000"), |
| /* [116] */ new RandomConstant("fbc00000000000000000000000000001", |
| "97f00000000000000000000000000000"), |
| /* [117] */ new RandomConstant("f7800000000000000000000000000001", |
| "2fe00000000000000000000000000000"), |
| /* [118] */ new RandomConstant("ef000000000000000000000000000001", |
| "5fc00000000000000000000000000000"), |
| /* [119] */ new RandomConstant("de000000000000000000000000000001", |
| "bf800000000000000000000000000000"), |
| /* [120] */ new RandomConstant("bc000000000000000000000000000001", |
| "7f000000000000000000000000000000"), |
| /* [121] */ new RandomConstant("78000000000000000000000000000001", |
| "fe000000000000000000000000000000"), |
| /* [122] */ new RandomConstant("f0000000000000000000000000000001", |
| "fc000000000000000000000000000000"), |
| /* [123] */ new RandomConstant("e0000000000000000000000000000001", |
| "f8000000000000000000000000000000"), |
| /* [124] */ new RandomConstant("c0000000000000000000000000000001", |
| "f0000000000000000000000000000000"), |
| /* [125] */ new RandomConstant("80000000000000000000000000000001", |
| "e0000000000000000000000000000000"), |
| /* [126] */ new RandomConstant("00000000000000000000000000000001", |
| "c0000000000000000000000000000000"), |
| /* [127] */ new RandomConstant("00000000000000000000000000000001", |
| "80000000000000000000000000000000")}; |
| |
| /** |
| * generate the random number that is "advance" steps |
| * from an initial random number of 0. This is done by |
| * starting with 0, and then advancing the by the |
| * appropriate powers of 2 of the linear congruential |
| * generator. |
| */ |
| public static Unsigned16 skipAhead(Unsigned16 advance) { |
| Unsigned16 result = new Unsigned16(); |
| long bit_map; |
| |
| bit_map = advance.getLow8(); |
| for (int i = 0; bit_map != 0 && i < 64; i++) { |
| if ((bit_map & (1L << i)) != 0) { |
| /* advance random number by f**(2**i) (x) |
| */ |
| result.multiply(genArray[i].a); |
| result.add(genArray[i].c); |
| bit_map &= ~(1L << i); |
| } |
| } |
| bit_map = advance.getHigh8(); |
| for (int i = 0; bit_map != 0 && i < 64; i++) |
| { |
| if ((bit_map & (1L << i)) != 0) { |
| /* advance random number by f**(2**(i + 64)) (x) |
| */ |
| result.multiply(genArray[i+64].a); |
| result.add(genArray[i+64].c); |
| bit_map &= ~(1L << i); |
| } |
| } |
| return result; |
| } |
| |
| /** |
| * Generate the next 16 byte random number. |
| */ |
| public static void nextRand(Unsigned16 rand) { |
| /* advance the random number forward once using the linear congruential |
| * generator, and then return the new random number |
| */ |
| rand.multiply(genArray[0].a); |
| rand.add(genArray[0].c); |
| } |
| } |
