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author | Alan Mishchenko <alanmi@berkeley.edu> | 2007-09-30 08:01:00 -0700 |
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committer | Alan Mishchenko <alanmi@berkeley.edu> | 2007-09-30 08:01:00 -0700 |
commit | e54d9691616b9a0326e2fdb3156bb4eeb8abfcd7 (patch) | |
tree | de3ffe87c3e17950351e3b7d97fa18318bd5ea9a /abc70930/src/bdd/cudd/cuddAnneal.c | |
parent | 7d7e60f2dc84393cd4c5db22d2eaf7b1fb1a79b2 (diff) | |
download | abc-e54d9691616b9a0326e2fdb3156bb4eeb8abfcd7.tar.gz abc-e54d9691616b9a0326e2fdb3156bb4eeb8abfcd7.tar.bz2 abc-e54d9691616b9a0326e2fdb3156bb4eeb8abfcd7.zip |
Version abc70930
Diffstat (limited to 'abc70930/src/bdd/cudd/cuddAnneal.c')
-rw-r--r-- | abc70930/src/bdd/cudd/cuddAnneal.c | 788 |
1 files changed, 788 insertions, 0 deletions
diff --git a/abc70930/src/bdd/cudd/cuddAnneal.c b/abc70930/src/bdd/cudd/cuddAnneal.c new file mode 100644 index 00000000..3d8b56b9 --- /dev/null +++ b/abc70930/src/bdd/cudd/cuddAnneal.c @@ -0,0 +1,788 @@ +/**CFile*********************************************************************** + + FileName [cuddAnneal.c] + + PackageName [cudd] + + Synopsis [Reordering of DDs based on simulated annealing] + + Description [Internal procedures included in this file: + <ul> + <li> cuddAnnealing() + </ul> + Static procedures included in this file: + <ul> + <li> stopping_criterion() + <li> random_generator() + <li> ddExchange() + <li> ddJumpingAux() + <li> ddJumpingUp() + <li> ddJumpingDown() + <li> siftBackwardProb() + <li> copyOrder() + <li> restoreOrder() + </ul> + ] + + SeeAlso [] + + Author [Jae-Young Jang, Jorgen Sivesind] + + Copyright [This file was created at the University of Colorado at + Boulder. The University of Colorado at Boulder makes no warranty + about the suitability of this software for any purpose. It is + presented on an AS IS basis.] + +******************************************************************************/ + +#include "util_hack.h" +#include "cuddInt.h" + +/*---------------------------------------------------------------------------*/ +/* Constant declarations */ +/*---------------------------------------------------------------------------*/ + +/* Annealing parameters */ +#define BETA 0.6 +#define ALPHA 0.90 +#define EXC_PROB 0.4 +#define JUMP_UP_PROB 0.36 +#define MAXGEN_RATIO 15.0 +#define STOP_TEMP 1.0 + +/*---------------------------------------------------------------------------*/ +/* Stucture declarations */ +/*---------------------------------------------------------------------------*/ + + +/*---------------------------------------------------------------------------*/ +/* Type declarations */ +/*---------------------------------------------------------------------------*/ + + +/*---------------------------------------------------------------------------*/ +/* Variable declarations */ +/*---------------------------------------------------------------------------*/ + +#ifndef lint +static char rcsid[] DD_UNUSED = "$Id: cuddAnneal.c,v 1.1.1.1 2003/02/24 22:23:51 wjiang Exp $"; +#endif + +#ifdef DD_STATS +extern int ddTotalNumberSwapping; +extern int ddTotalNISwaps; +static int tosses; +static int acceptances; +#endif + +/*---------------------------------------------------------------------------*/ +/* Macro declarations */ +/*---------------------------------------------------------------------------*/ + + +/**AutomaticStart*************************************************************/ + +/*---------------------------------------------------------------------------*/ +/* Static function prototypes */ +/*---------------------------------------------------------------------------*/ + +static int stopping_criterion ARGS((int c1, int c2, int c3, int c4, double temp)); +static double random_generator ARGS(()); +static int ddExchange ARGS((DdManager *table, int x, int y, double temp)); +static int ddJumpingAux ARGS((DdManager *table, int x, int x_low, int x_high, double temp)); +static Move * ddJumpingUp ARGS((DdManager *table, int x, int x_low, int initial_size)); +static Move * ddJumpingDown ARGS((DdManager *table, int x, int x_high, int initial_size)); +static int siftBackwardProb ARGS((DdManager *table, Move *moves, int size, double temp)); +static void copyOrder ARGS((DdManager *table, int *array, int lower, int upper)); +static int restoreOrder ARGS((DdManager *table, int *array, int lower, int upper)); + +/**AutomaticEnd***************************************************************/ + + +/*---------------------------------------------------------------------------*/ +/* Definition of exported functions */ +/*---------------------------------------------------------------------------*/ + +/*---------------------------------------------------------------------------*/ +/* Definition of internal functions */ +/*---------------------------------------------------------------------------*/ + + +/**Function******************************************************************** + + Synopsis [Get new variable-order by simulated annealing algorithm.] + + Description [Get x, y by random selection. Choose either + exchange or jump randomly. In case of jump, choose between jump_up + and jump_down randomly. Do exchange or jump and get optimal case. + Loop until there is no improvement or temperature reaches + minimum. Returns 1 in case of success; 0 otherwise.] + + SideEffects [None] + + SeeAlso [] + +******************************************************************************/ +int +cuddAnnealing( + DdManager * table, + int lower, + int upper) +{ + int nvars; + int size; + int x,y; + int result; + int c1, c2, c3, c4; + int BestCost; + int *BestOrder; + double NewTemp, temp; + double rand1; + int innerloop, maxGen; + int ecount, ucount, dcount; + + nvars = upper - lower + 1; + + result = cuddSifting(table,lower,upper); +#ifdef DD_STATS + (void) fprintf(table->out,"\n"); +#endif + if (result == 0) return(0); + + size = table->keys - table->isolated; + + /* Keep track of the best order. */ + BestCost = size; + BestOrder = ALLOC(int,nvars); + if (BestOrder == NULL) { + table->errorCode = CUDD_MEMORY_OUT; + return(0); + } + copyOrder(table,BestOrder,lower,upper); + + temp = BETA * size; + maxGen = (int) (MAXGEN_RATIO * nvars); + + c1 = size + 10; + c2 = c1 + 10; + c3 = size; + c4 = c2 + 10; + ecount = ucount = dcount = 0; + + while (!stopping_criterion(c1, c2, c3, c4, temp)) { +#ifdef DD_STATS + (void) fprintf(table->out,"temp=%f\tsize=%d\tgen=%d\t", + temp,size,maxGen); + tosses = acceptances = 0; +#endif + for (innerloop = 0; innerloop < maxGen; innerloop++) { + /* Choose x, y randomly. */ + x = (int) Cudd_Random() % nvars; + do { + y = (int) Cudd_Random() % nvars; + } while (x == y); + x += lower; + y += lower; + if (x > y) { + int tmp = x; + x = y; + y = tmp; + } + + /* Choose move with roulette wheel. */ + rand1 = random_generator(); + if (rand1 < EXC_PROB) { + result = ddExchange(table,x,y,temp); /* exchange */ + ecount++; +#if 0 + (void) fprintf(table->out, + "Exchange of %d and %d: size = %d\n", + x,y,table->keys - table->isolated); +#endif + } else if (rand1 < EXC_PROB + JUMP_UP_PROB) { + result = ddJumpingAux(table,y,x,y,temp); /* jumping_up */ + ucount++; +#if 0 + (void) fprintf(table->out, + "Jump up of %d to %d: size = %d\n", + y,x,table->keys - table->isolated); +#endif + } else { + result = ddJumpingAux(table,x,x,y,temp); /* jumping_down */ + dcount++; +#if 0 + (void) fprintf(table->out, + "Jump down of %d to %d: size = %d\n", + x,y,table->keys - table->isolated); +#endif + } + + if (!result) { + FREE(BestOrder); + return(0); + } + + size = table->keys - table->isolated; /* keep current size */ + if (size < BestCost) { /* update best order */ + BestCost = size; + copyOrder(table,BestOrder,lower,upper); + } + } + c1 = c2; + c2 = c3; + c3 = c4; + c4 = size; + NewTemp = ALPHA * temp; + if (NewTemp >= 1.0) { + maxGen = (int)(log(NewTemp) / log(temp) * maxGen); + } + temp = NewTemp; /* control variable */ +#ifdef DD_STATS + (void) fprintf(table->out,"uphill = %d\taccepted = %d\n", + tosses,acceptances); + fflush(table->out); +#endif + } + + result = restoreOrder(table,BestOrder,lower,upper); + FREE(BestOrder); + if (!result) return(0); +#ifdef DD_STATS + fprintf(table->out,"#:N_EXCHANGE %8d : total exchanges\n",ecount); + fprintf(table->out,"#:N_JUMPUP %8d : total jumps up\n",ucount); + fprintf(table->out,"#:N_JUMPDOWN %8d : total jumps down",dcount); +#endif + return(1); + +} /* end of cuddAnnealing */ + + +/*---------------------------------------------------------------------------*/ +/* Definition of static functions */ +/*---------------------------------------------------------------------------*/ + +/**Function******************************************************************** + + Synopsis [Checks termination condition.] + + Description [If temperature is STOP_TEMP or there is no improvement + then terminates. Returns 1 if the termination criterion is met; 0 + otherwise.] + + SideEffects [None] + + SeeAlso [] + +******************************************************************************/ +static int +stopping_criterion( + int c1, + int c2, + int c3, + int c4, + double temp) +{ + if (STOP_TEMP < temp) { + return(0); + } else if ((c1 == c2) && (c1 == c3) && (c1 == c4)) { + return(1); + } else { + return(0); + } + +} /* end of stopping_criterion */ + + +/**Function******************************************************************** + + Synopsis [Random number generator.] + + Description [Returns a double precision value between 0.0 and 1.0.] + + SideEffects [None] + + SeeAlso [] + +******************************************************************************/ +static double +random_generator( + ) +{ + return((double)(Cudd_Random() / 2147483561.0)); + +} /* end of random_generator */ + + +/**Function******************************************************************** + + Synopsis [This function is for exchanging two variables, x and y.] + + Description [This is the same funcion as ddSwapping except for + comparison expression. Use probability function, exp(-size_change/temp).] + + SideEffects [None] + + SeeAlso [] + +******************************************************************************/ +static int +ddExchange( + DdManager * table, + int x, + int y, + double temp) +{ + Move *move,*moves; + int tmp; + int x_ref,y_ref; + int x_next,y_next; + int size, result; + int initial_size, limit_size; + + x_ref = x; + y_ref = y; + + x_next = cuddNextHigh(table,x); + y_next = cuddNextLow(table,y); + moves = NULL; + initial_size = limit_size = table->keys - table->isolated; + + for (;;) { + if (x_next == y_next) { + size = cuddSwapInPlace(table,x,x_next); + if (size == 0) goto ddExchangeOutOfMem; + move = (Move *)cuddDynamicAllocNode(table); + if (move == NULL) goto ddExchangeOutOfMem; + move->x = x; + move->y = x_next; + move->size = size; + move->next = moves; + moves = move; + size = cuddSwapInPlace(table,y_next,y); + if (size == 0) goto ddExchangeOutOfMem; + move = (Move *)cuddDynamicAllocNode(table); + if (move == NULL) goto ddExchangeOutOfMem; + move->x = y_next; + move->y = y; + move->size = size; + move->next = moves; + moves = move; + size = cuddSwapInPlace(table,x,x_next); + if (size == 0) goto ddExchangeOutOfMem; + move = (Move *)cuddDynamicAllocNode(table); + if (move == NULL) goto ddExchangeOutOfMem; + move->x = x; + move->y = x_next; + move->size = size; + move->next = moves; + moves = move; + + tmp = x; + x = y; + y = tmp; + } else if (x == y_next) { + size = cuddSwapInPlace(table,x,x_next); + if (size == 0) goto ddExchangeOutOfMem; + move = (Move *)cuddDynamicAllocNode(table); + if (move == NULL) goto ddExchangeOutOfMem; + move->x = x; + move->y = x_next; + move->size = size; + move->next = moves; + moves = move; + tmp = x; + x = y; + y = tmp; + } else { + size = cuddSwapInPlace(table,x,x_next); + if (size == 0) goto ddExchangeOutOfMem; + move = (Move *)cuddDynamicAllocNode(table); + if (move == NULL) goto ddExchangeOutOfMem; + move->x = x; + move->y = x_next; + move->size = size; + move->next = moves; + moves = move; + size = cuddSwapInPlace(table,y_next,y); + if (size == 0) goto ddExchangeOutOfMem; + move = (Move *)cuddDynamicAllocNode(table); + if (move == NULL) goto ddExchangeOutOfMem; + move->x = y_next; + move->y = y; + move->size = size; + move->next = moves; + moves = move; + x = x_next; + y = y_next; + } + + x_next = cuddNextHigh(table,x); + y_next = cuddNextLow(table,y); + if (x_next > y_ref) break; + + if ((double) size > DD_MAX_REORDER_GROWTH * (double) limit_size) { + break; + } else if (size < limit_size) { + limit_size = size; + } + } + + if (y_next>=x_ref) { + size = cuddSwapInPlace(table,y_next,y); + if (size == 0) goto ddExchangeOutOfMem; + move = (Move *)cuddDynamicAllocNode(table); + if (move == NULL) goto ddExchangeOutOfMem; + move->x = y_next; + move->y = y; + move->size = size; + move->next = moves; + moves = move; + } + + /* move backward and stop at best position or accept uphill move */ + result = siftBackwardProb(table,moves,initial_size,temp); + if (!result) goto ddExchangeOutOfMem; + + while (moves != NULL) { + move = moves->next; + cuddDeallocNode(table, (DdNode *) moves); + moves = move; + } + return(1); + +ddExchangeOutOfMem: + while (moves != NULL) { + move = moves->next; + cuddDeallocNode(table,(DdNode *) moves); + moves = move; + } + return(0); + +} /* end of ddExchange */ + + +/**Function******************************************************************** + + Synopsis [Moves a variable to a specified position.] + + Description [If x==x_low, it executes jumping_down. If x==x_high, it + executes jumping_up. This funcion is similar to ddSiftingAux. Returns + 1 in case of success; 0 otherwise.] + + SideEffects [None] + + SeeAlso [] + +******************************************************************************/ +static int +ddJumpingAux( + DdManager * table, + int x, + int x_low, + int x_high, + double temp) +{ + Move *move; + Move *moves; /* list of moves */ + int initial_size; + int result; + + initial_size = table->keys - table->isolated; + +#ifdef DD_DEBUG + assert(table->subtables[x].keys > 0); +#endif + + moves = NULL; + + if (cuddNextLow(table,x) < x_low) { + if (cuddNextHigh(table,x) > x_high) return(1); + moves = ddJumpingDown(table,x,x_high,initial_size); + /* after that point x --> x_high unless early termination */ + if (moves == NULL) goto ddJumpingAuxOutOfMem; + /* move backward and stop at best position or accept uphill move */ + result = siftBackwardProb(table,moves,initial_size,temp); + if (!result) goto ddJumpingAuxOutOfMem; + } else if (cuddNextHigh(table,x) > x_high) { + moves = ddJumpingUp(table,x,x_low,initial_size); + /* after that point x --> x_low unless early termination */ + if (moves == NULL) goto ddJumpingAuxOutOfMem; + /* move backward and stop at best position or accept uphill move */ + result = siftBackwardProb(table,moves,initial_size,temp); + if (!result) goto ddJumpingAuxOutOfMem; + } else { + (void) fprintf(table->err,"Unexpected condition in ddJumping\n"); + goto ddJumpingAuxOutOfMem; + } + while (moves != NULL) { + move = moves->next; + cuddDeallocNode(table, (DdNode *) moves); + moves = move; + } + return(1); + +ddJumpingAuxOutOfMem: + while (moves != NULL) { + move = moves->next; + cuddDeallocNode(table, (DdNode *) moves); + moves = move; + } + return(0); + +} /* end of ddJumpingAux */ + + +/**Function******************************************************************** + + Synopsis [This function is for jumping up.] + + Description [This is a simplified version of ddSiftingUp. It does not + use lower bounding. Returns the set of moves in case of success; NULL + if memory is full.] + + SideEffects [None] + + SeeAlso [] + +******************************************************************************/ +static Move * +ddJumpingUp( + DdManager * table, + int x, + int x_low, + int initial_size) +{ + Move *moves; + Move *move; + int y; + int size; + int limit_size = initial_size; + + moves = NULL; + y = cuddNextLow(table,x); + while (y >= x_low) { + size = cuddSwapInPlace(table,y,x); + if (size == 0) goto ddJumpingUpOutOfMem; + move = (Move *)cuddDynamicAllocNode(table); + if (move == NULL) goto ddJumpingUpOutOfMem; + move->x = y; + move->y = x; + move->size = size; + move->next = moves; + moves = move; + if ((double) size > table->maxGrowth * (double) limit_size) { + break; + } else if (size < limit_size) { + limit_size = size; + } + x = y; + y = cuddNextLow(table,x); + } + return(moves); + +ddJumpingUpOutOfMem: + while (moves != NULL) { + move = moves->next; + cuddDeallocNode(table, (DdNode *) moves); + moves = move; + } + return(NULL); + +} /* end of ddJumpingUp */ + + +/**Function******************************************************************** + + Synopsis [This function is for jumping down.] + + Description [This is a simplified version of ddSiftingDown. It does not + use lower bounding. Returns the set of moves in case of success; NULL + if memory is full.] + + SideEffects [None] + + SeeAlso [] + +******************************************************************************/ +static Move * +ddJumpingDown( + DdManager * table, + int x, + int x_high, + int initial_size) +{ + Move *moves; + Move *move; + int y; + int size; + int limit_size = initial_size; + + moves = NULL; + y = cuddNextHigh(table,x); + while (y <= x_high) { + size = cuddSwapInPlace(table,x,y); + if (size == 0) goto ddJumpingDownOutOfMem; + move = (Move *)cuddDynamicAllocNode(table); + if (move == NULL) goto ddJumpingDownOutOfMem; + move->x = x; + move->y = y; + move->size = size; + move->next = moves; + moves = move; + if ((double) size > table->maxGrowth * (double) limit_size) { + break; + } else if (size < limit_size) { + limit_size = size; + } + x = y; + y = cuddNextHigh(table,x); + } + return(moves); + +ddJumpingDownOutOfMem: + while (moves != NULL) { + move = moves->next; + cuddDeallocNode(table, (DdNode *) moves); + moves = move; + } + return(NULL); + +} /* end of ddJumpingDown */ + + +/**Function******************************************************************** + + Synopsis [Returns the DD to the best position encountered during + sifting if there was improvement.] + + Description [Otherwise, "tosses a coin" to decide whether to keep + the current configuration or return the DD to the original + one. Returns 1 in case of success; 0 otherwise.] + + SideEffects [None] + + SeeAlso [] + +******************************************************************************/ +static int +siftBackwardProb( + DdManager * table, + Move * moves, + int size, + double temp) +{ + Move *move; + int res; + int best_size = size; + double coin, threshold; + + /* Look for best size during the last sifting */ + for (move = moves; move != NULL; move = move->next) { + if (move->size < best_size) { + best_size = move->size; + } + } + + /* If best_size equals size, the last sifting did not produce any + ** improvement. We now toss a coin to decide whether to retain + ** this change or not. + */ + if (best_size == size) { + coin = random_generator(); +#ifdef DD_STATS + tosses++; +#endif + threshold = exp(-((double)(table->keys - table->isolated - size))/temp); + if (coin < threshold) { +#ifdef DD_STATS + acceptances++; +#endif + return(1); + } + } + + /* Either there was improvement, or we have decided not to + ** accept the uphill move. Go to best position. + */ + res = table->keys - table->isolated; + for (move = moves; move != NULL; move = move->next) { + if (res == best_size) return(1); + res = cuddSwapInPlace(table,(int)move->x,(int)move->y); + if (!res) return(0); + } + + return(1); + +} /* end of sift_backward_prob */ + + +/**Function******************************************************************** + + Synopsis [Copies the current variable order to array.] + + Description [Copies the current variable order to array. + At the same time inverts the permutation.] + + SideEffects [None] + + SeeAlso [] + +******************************************************************************/ +static void +copyOrder( + DdManager * table, + int * array, + int lower, + int upper) +{ + int i; + int nvars; + + nvars = upper - lower + 1; + for (i = 0; i < nvars; i++) { + array[i] = table->invperm[i+lower]; + } + +} /* end of copyOrder */ + + +/**Function******************************************************************** + + Synopsis [Restores the variable order in array by a series of sifts up.] + + Description [Restores the variable order in array by a series of sifts up. + Returns 1 in case of success; 0 otherwise.] + + SideEffects [None] + + SeeAlso [] + +******************************************************************************/ +static int +restoreOrder( + DdManager * table, + int * array, + int lower, + int upper) +{ + int i, x, y, size; + int nvars = upper - lower + 1; + + for (i = 0; i < nvars; i++) { + x = table->perm[array[i]]; +#ifdef DD_DEBUG + assert(x >= lower && x <= upper); +#endif + y = cuddNextLow(table,x); + while (y >= i + lower) { + size = cuddSwapInPlace(table,y,x); + if (size == 0) return(0); + x = y; + y = cuddNextLow(table,x); + } + } + + return(1); + +} /* end of restoreOrder */ + |