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/*-------------------------------------------------------------------------
*
* geqo_selection.c
* linear selection scheme for the genetic query optimizer
*
* Portions Copyright (c) 1996-2022, PostgreSQL Global Development Group
* Portions Copyright (c) 1994, Regents of the University of California
*
* src/backend/optimizer/geqo/geqo_selection.c
*
*-------------------------------------------------------------------------
*/
/* contributed by:
=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=
* Martin Utesch * Institute of Automatic Control *
= = University of Mining and Technology =
* utesch@aut.tu-freiberg.de * Freiberg, Germany *
=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=
*/
/* this is adopted from D. Whitley's Genitor algorithm */
/*************************************************************/
/* */
/* Copyright (c) 1990 */
/* Darrell L. Whitley */
/* Computer Science Department */
/* Colorado State University */
/* */
/* Permission is hereby granted to copy all or any part of */
/* this program for free distribution. The author's name */
/* and this copyright notice must be included in any copy. */
/* */
/*************************************************************/
#include "postgres.h"
#include <math.h>
#include "optimizer/geqo_copy.h"
#include "optimizer/geqo_random.h"
#include "optimizer/geqo_selection.h"
static int linear_rand(PlannerInfo *root, int max, double bias);
/*
* geqo_selection
* according to bias described by input parameters,
* first and second genes are selected from the pool
*/
void
geqo_selection(PlannerInfo *root, Chromosome *momma, Chromosome *daddy,
Pool *pool, double bias)
{
int first,
second;
first = linear_rand(root, pool->size, bias);
second = linear_rand(root, pool->size, bias);
/*
* Ensure we have selected different genes, except if pool size is only
* one, when we can't.
*/
if (pool->size > 1)
{
while (first == second)
second = linear_rand(root, pool->size, bias);
}
geqo_copy(root, momma, &pool->data[first], pool->string_length);
geqo_copy(root, daddy, &pool->data[second], pool->string_length);
}
/*
* linear_rand
* generates random integer between 0 and input max number
* using input linear bias
*
* bias is y-intercept of linear distribution
*
* probability distribution function is: f(x) = bias - 2(bias - 1)x
* bias = (prob of first rule) / (prob of middle rule)
*/
static int
linear_rand(PlannerInfo *root, int pool_size, double bias)
{
double index; /* index between 0 and pool_size */
double max = (double) pool_size;
/*
* geqo_rand() is not supposed to return 1.0, but if it does then we will
* get exactly max from this equation, whereas we need 0 <= index < max.
* Also it seems possible that roundoff error might deliver values
* slightly outside the range; in particular avoid passing a value
* slightly less than 0 to sqrt(). If we get a bad value just try again.
*/
do
{
double sqrtval;
sqrtval = (bias * bias) - 4.0 * (bias - 1.0) * geqo_rand(root);
if (sqrtval > 0.0)
sqrtval = sqrt(sqrtval);
index = max * (bias - sqrtval) / 2.0 / (bias - 1.0);
} while (index < 0.0 || index >= max);
return (int) index;
}
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