1*c8dee2aaSAndroid Build Coastguard Worker /* 2*c8dee2aaSAndroid Build Coastguard Worker * Copyright 2006 The Android Open Source Project 3*c8dee2aaSAndroid Build Coastguard Worker * 4*c8dee2aaSAndroid Build Coastguard Worker * Use of this source code is governed by a BSD-style license that can be 5*c8dee2aaSAndroid Build Coastguard Worker * found in the LICENSE file. 6*c8dee2aaSAndroid Build Coastguard Worker */ 7*c8dee2aaSAndroid Build Coastguard Worker 8*c8dee2aaSAndroid Build Coastguard Worker #ifndef SkRandom_DEFINED 9*c8dee2aaSAndroid Build Coastguard Worker #define SkRandom_DEFINED 10*c8dee2aaSAndroid Build Coastguard Worker 11*c8dee2aaSAndroid Build Coastguard Worker #include "include/private/base/SkAssert.h" 12*c8dee2aaSAndroid Build Coastguard Worker #include "include/private/base/SkFixed.h" 13*c8dee2aaSAndroid Build Coastguard Worker #include "src/base/SkFloatBits.h" 14*c8dee2aaSAndroid Build Coastguard Worker 15*c8dee2aaSAndroid Build Coastguard Worker #include <cstdint> 16*c8dee2aaSAndroid Build Coastguard Worker 17*c8dee2aaSAndroid Build Coastguard Worker typedef float SkScalar; 18*c8dee2aaSAndroid Build Coastguard Worker 19*c8dee2aaSAndroid Build Coastguard Worker /** \class SkRandom 20*c8dee2aaSAndroid Build Coastguard Worker 21*c8dee2aaSAndroid Build Coastguard Worker Utility class that implements pseudo random 32bit numbers using Marsaglia's 22*c8dee2aaSAndroid Build Coastguard Worker multiply-with-carry "mother of all" algorithm. Unlike rand(), this class holds 23*c8dee2aaSAndroid Build Coastguard Worker its own state, so that multiple instances can be used with no side-effects. 24*c8dee2aaSAndroid Build Coastguard Worker 25*c8dee2aaSAndroid Build Coastguard Worker Has a large period and all bits are well-randomized. 26*c8dee2aaSAndroid Build Coastguard Worker */ 27*c8dee2aaSAndroid Build Coastguard Worker class SkRandom { 28*c8dee2aaSAndroid Build Coastguard Worker public: SkRandom()29*c8dee2aaSAndroid Build Coastguard Worker SkRandom() { init(0); } SkRandom(uint32_t seed)30*c8dee2aaSAndroid Build Coastguard Worker SkRandom(uint32_t seed) { init(seed); } SkRandom(const SkRandom & rand)31*c8dee2aaSAndroid Build Coastguard Worker SkRandom(const SkRandom& rand) : fK(rand.fK), fJ(rand.fJ) {} 32*c8dee2aaSAndroid Build Coastguard Worker 33*c8dee2aaSAndroid Build Coastguard Worker SkRandom& operator=(const SkRandom& rand) { 34*c8dee2aaSAndroid Build Coastguard Worker fK = rand.fK; 35*c8dee2aaSAndroid Build Coastguard Worker fJ = rand.fJ; 36*c8dee2aaSAndroid Build Coastguard Worker 37*c8dee2aaSAndroid Build Coastguard Worker return *this; 38*c8dee2aaSAndroid Build Coastguard Worker } 39*c8dee2aaSAndroid Build Coastguard Worker 40*c8dee2aaSAndroid Build Coastguard Worker /** Return the next pseudo random number as an unsigned 32bit value. 41*c8dee2aaSAndroid Build Coastguard Worker */ nextU()42*c8dee2aaSAndroid Build Coastguard Worker uint32_t nextU() { 43*c8dee2aaSAndroid Build Coastguard Worker fK = kKMul*(fK & 0xffff) + (fK >> 16); 44*c8dee2aaSAndroid Build Coastguard Worker fJ = kJMul*(fJ & 0xffff) + (fJ >> 16); 45*c8dee2aaSAndroid Build Coastguard Worker return (((fK << 16) | (fK >> 16)) + fJ); 46*c8dee2aaSAndroid Build Coastguard Worker } 47*c8dee2aaSAndroid Build Coastguard Worker 48*c8dee2aaSAndroid Build Coastguard Worker /** Return the next pseudo random number as a signed 32bit value. 49*c8dee2aaSAndroid Build Coastguard Worker */ nextS()50*c8dee2aaSAndroid Build Coastguard Worker int32_t nextS() { return (int32_t)this->nextU(); } 51*c8dee2aaSAndroid Build Coastguard Worker 52*c8dee2aaSAndroid Build Coastguard Worker /** 53*c8dee2aaSAndroid Build Coastguard Worker * Returns value [0...1) as an IEEE float 54*c8dee2aaSAndroid Build Coastguard Worker */ nextF()55*c8dee2aaSAndroid Build Coastguard Worker float nextF() { 56*c8dee2aaSAndroid Build Coastguard Worker uint32_t floatint = 0x3f800000 | (this->nextU() >> 9); 57*c8dee2aaSAndroid Build Coastguard Worker float f = SkBits2Float(floatint) - 1.0f; 58*c8dee2aaSAndroid Build Coastguard Worker return f; 59*c8dee2aaSAndroid Build Coastguard Worker } 60*c8dee2aaSAndroid Build Coastguard Worker 61*c8dee2aaSAndroid Build Coastguard Worker /** 62*c8dee2aaSAndroid Build Coastguard Worker * Returns value [min...max) as a float 63*c8dee2aaSAndroid Build Coastguard Worker */ nextRangeF(float min,float max)64*c8dee2aaSAndroid Build Coastguard Worker float nextRangeF(float min, float max) { 65*c8dee2aaSAndroid Build Coastguard Worker return min + this->nextF() * (max - min); 66*c8dee2aaSAndroid Build Coastguard Worker } 67*c8dee2aaSAndroid Build Coastguard Worker 68*c8dee2aaSAndroid Build Coastguard Worker /** Return the next pseudo random number, as an unsigned value of 69*c8dee2aaSAndroid Build Coastguard Worker at most bitCount bits. 70*c8dee2aaSAndroid Build Coastguard Worker @param bitCount The maximum number of bits to be returned 71*c8dee2aaSAndroid Build Coastguard Worker */ nextBits(unsigned bitCount)72*c8dee2aaSAndroid Build Coastguard Worker uint32_t nextBits(unsigned bitCount) { 73*c8dee2aaSAndroid Build Coastguard Worker SkASSERT(bitCount > 0 && bitCount <= 32); 74*c8dee2aaSAndroid Build Coastguard Worker return this->nextU() >> (32 - bitCount); 75*c8dee2aaSAndroid Build Coastguard Worker } 76*c8dee2aaSAndroid Build Coastguard Worker 77*c8dee2aaSAndroid Build Coastguard Worker /** Return the next pseudo random unsigned number, mapped to lie within 78*c8dee2aaSAndroid Build Coastguard Worker [min, max] inclusive. 79*c8dee2aaSAndroid Build Coastguard Worker */ nextRangeU(uint32_t min,uint32_t max)80*c8dee2aaSAndroid Build Coastguard Worker uint32_t nextRangeU(uint32_t min, uint32_t max) { 81*c8dee2aaSAndroid Build Coastguard Worker SkASSERT(min <= max); 82*c8dee2aaSAndroid Build Coastguard Worker uint32_t range = max - min + 1; 83*c8dee2aaSAndroid Build Coastguard Worker if (0 == range) { 84*c8dee2aaSAndroid Build Coastguard Worker return this->nextU(); 85*c8dee2aaSAndroid Build Coastguard Worker } else { 86*c8dee2aaSAndroid Build Coastguard Worker return min + this->nextU() % range; 87*c8dee2aaSAndroid Build Coastguard Worker } 88*c8dee2aaSAndroid Build Coastguard Worker } 89*c8dee2aaSAndroid Build Coastguard Worker 90*c8dee2aaSAndroid Build Coastguard Worker /** Return the next pseudo random unsigned number, mapped to lie within 91*c8dee2aaSAndroid Build Coastguard Worker [0, count). 92*c8dee2aaSAndroid Build Coastguard Worker */ nextULessThan(uint32_t count)93*c8dee2aaSAndroid Build Coastguard Worker uint32_t nextULessThan(uint32_t count) { 94*c8dee2aaSAndroid Build Coastguard Worker SkASSERT(count > 0); 95*c8dee2aaSAndroid Build Coastguard Worker return this->nextRangeU(0, count - 1); 96*c8dee2aaSAndroid Build Coastguard Worker } 97*c8dee2aaSAndroid Build Coastguard Worker 98*c8dee2aaSAndroid Build Coastguard Worker /** Return the next pseudo random number expressed as a SkScalar 99*c8dee2aaSAndroid Build Coastguard Worker in the range [0..SK_Scalar1). 100*c8dee2aaSAndroid Build Coastguard Worker */ nextUScalar1()101*c8dee2aaSAndroid Build Coastguard Worker SkScalar nextUScalar1() { return SkFixedToScalar(this->nextUFixed1()); } 102*c8dee2aaSAndroid Build Coastguard Worker 103*c8dee2aaSAndroid Build Coastguard Worker /** Return the next pseudo random number expressed as a SkScalar 104*c8dee2aaSAndroid Build Coastguard Worker in the range [min..max). 105*c8dee2aaSAndroid Build Coastguard Worker */ nextRangeScalar(SkScalar min,SkScalar max)106*c8dee2aaSAndroid Build Coastguard Worker SkScalar nextRangeScalar(SkScalar min, SkScalar max) { 107*c8dee2aaSAndroid Build Coastguard Worker return this->nextUScalar1() * (max - min) + min; 108*c8dee2aaSAndroid Build Coastguard Worker } 109*c8dee2aaSAndroid Build Coastguard Worker 110*c8dee2aaSAndroid Build Coastguard Worker /** Return the next pseudo random number expressed as a SkScalar 111*c8dee2aaSAndroid Build Coastguard Worker in the range [-SK_Scalar1..SK_Scalar1). 112*c8dee2aaSAndroid Build Coastguard Worker */ nextSScalar1()113*c8dee2aaSAndroid Build Coastguard Worker SkScalar nextSScalar1() { return SkFixedToScalar(this->nextSFixed1()); } 114*c8dee2aaSAndroid Build Coastguard Worker 115*c8dee2aaSAndroid Build Coastguard Worker /** Return the next pseudo random number as a bool. 116*c8dee2aaSAndroid Build Coastguard Worker */ nextBool()117*c8dee2aaSAndroid Build Coastguard Worker bool nextBool() { return this->nextU() >= 0x80000000; } 118*c8dee2aaSAndroid Build Coastguard Worker 119*c8dee2aaSAndroid Build Coastguard Worker /** A biased version of nextBool(). 120*c8dee2aaSAndroid Build Coastguard Worker */ nextBiasedBool(SkScalar fractionTrue)121*c8dee2aaSAndroid Build Coastguard Worker bool nextBiasedBool(SkScalar fractionTrue) { 122*c8dee2aaSAndroid Build Coastguard Worker SkASSERT(fractionTrue >= 0 && fractionTrue <= 1); 123*c8dee2aaSAndroid Build Coastguard Worker return this->nextUScalar1() <= fractionTrue; 124*c8dee2aaSAndroid Build Coastguard Worker } 125*c8dee2aaSAndroid Build Coastguard Worker 126*c8dee2aaSAndroid Build Coastguard Worker /** Reset the random object. 127*c8dee2aaSAndroid Build Coastguard Worker */ setSeed(uint32_t seed)128*c8dee2aaSAndroid Build Coastguard Worker void setSeed(uint32_t seed) { init(seed); } 129*c8dee2aaSAndroid Build Coastguard Worker 130*c8dee2aaSAndroid Build Coastguard Worker private: 131*c8dee2aaSAndroid Build Coastguard Worker // Initialize state variables with LCG. 132*c8dee2aaSAndroid Build Coastguard Worker // We must ensure that both J and K are non-zero, otherwise the 133*c8dee2aaSAndroid Build Coastguard Worker // multiply-with-carry step will forevermore return zero. init(uint32_t seed)134*c8dee2aaSAndroid Build Coastguard Worker void init(uint32_t seed) { 135*c8dee2aaSAndroid Build Coastguard Worker fK = NextLCG(seed); 136*c8dee2aaSAndroid Build Coastguard Worker if (0 == fK) { 137*c8dee2aaSAndroid Build Coastguard Worker fK = NextLCG(fK); 138*c8dee2aaSAndroid Build Coastguard Worker } 139*c8dee2aaSAndroid Build Coastguard Worker fJ = NextLCG(fK); 140*c8dee2aaSAndroid Build Coastguard Worker if (0 == fJ) { 141*c8dee2aaSAndroid Build Coastguard Worker fJ = NextLCG(fJ); 142*c8dee2aaSAndroid Build Coastguard Worker } 143*c8dee2aaSAndroid Build Coastguard Worker SkASSERT(0 != fK && 0 != fJ); 144*c8dee2aaSAndroid Build Coastguard Worker } NextLCG(uint32_t seed)145*c8dee2aaSAndroid Build Coastguard Worker static uint32_t NextLCG(uint32_t seed) { return kMul*seed + kAdd; } 146*c8dee2aaSAndroid Build Coastguard Worker 147*c8dee2aaSAndroid Build Coastguard Worker /** Return the next pseudo random number expressed as an unsigned SkFixed 148*c8dee2aaSAndroid Build Coastguard Worker in the range [0..SK_Fixed1). 149*c8dee2aaSAndroid Build Coastguard Worker */ nextUFixed1()150*c8dee2aaSAndroid Build Coastguard Worker SkFixed nextUFixed1() { return this->nextU() >> 16; } 151*c8dee2aaSAndroid Build Coastguard Worker 152*c8dee2aaSAndroid Build Coastguard Worker /** Return the next pseudo random number expressed as a signed SkFixed 153*c8dee2aaSAndroid Build Coastguard Worker in the range [-SK_Fixed1..SK_Fixed1). 154*c8dee2aaSAndroid Build Coastguard Worker */ nextSFixed1()155*c8dee2aaSAndroid Build Coastguard Worker SkFixed nextSFixed1() { return this->nextS() >> 15; } 156*c8dee2aaSAndroid Build Coastguard Worker 157*c8dee2aaSAndroid Build Coastguard Worker // See "Numerical Recipes in C", 1992 page 284 for these constants 158*c8dee2aaSAndroid Build Coastguard Worker // For the LCG that sets the initial state from a seed 159*c8dee2aaSAndroid Build Coastguard Worker enum { 160*c8dee2aaSAndroid Build Coastguard Worker kMul = 1664525, 161*c8dee2aaSAndroid Build Coastguard Worker kAdd = 1013904223 162*c8dee2aaSAndroid Build Coastguard Worker }; 163*c8dee2aaSAndroid Build Coastguard Worker // Constants for the multiply-with-carry steps 164*c8dee2aaSAndroid Build Coastguard Worker enum { 165*c8dee2aaSAndroid Build Coastguard Worker kKMul = 30345, 166*c8dee2aaSAndroid Build Coastguard Worker kJMul = 18000, 167*c8dee2aaSAndroid Build Coastguard Worker }; 168*c8dee2aaSAndroid Build Coastguard Worker 169*c8dee2aaSAndroid Build Coastguard Worker uint32_t fK; 170*c8dee2aaSAndroid Build Coastguard Worker uint32_t fJ; 171*c8dee2aaSAndroid Build Coastguard Worker }; 172*c8dee2aaSAndroid Build Coastguard Worker 173*c8dee2aaSAndroid Build Coastguard Worker #endif 174