isl_seq.c

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/*
 * Copyright 2008-2009 Katholieke Universiteit Leuven
 * Copyright 2011      INRIA Saclay
 *
 * Use of this software is governed by the MIT license
 *
 * Written by Sven Verdoolaege, K.U.Leuven, Departement
 * Computerwetenschappen, Celestijnenlaan 200A, B-3001 Leuven, Belgium
 */
 
#include <isl_ctx_private.h>
#include <isl_seq.h>
 
void isl_seq_clr(isl_int *p, unsigned len)
{
  int i;
  for (i = 0; i < len; ++i)
    isl_int_set_si(p[i], 0);
}
 
void isl_seq_set_si(isl_int *p, int v, unsigned len)
{
  int i;
  for (i = 0; i < len; ++i)
    isl_int_set_si(p[i], v);
}
 
void isl_seq_set(isl_int *p, isl_int v, unsigned len)
{
  int i;
  for (i = 0; i < len; ++i)
    isl_int_set(p[i], v);
}
 
void isl_seq_neg(isl_int *dst, isl_int *src, unsigned len)
{
  int i;
  for (i = 0; i < len; ++i)
    isl_int_neg(dst[i], src[i]);
}
 
void isl_seq_cpy(isl_int *dst, isl_int *src, unsigned len)
{
  int i;
  for (i = 0; i < len; ++i)
    isl_int_set(dst[i], src[i]);
}
 
/* Subtract the sequence "src" from the sequence "dst",
 * both of length "len".
 */
void isl_seq_sub(isl_int *dst, isl_int *src, unsigned len)
{
  int i;
 
  for (i = 0; i < len; ++i)
    isl_int_sub(dst[i], dst[i], src[i]);
}
 
void isl_seq_submul(isl_int *dst, isl_int f, isl_int *src, unsigned len)
{
  int i;
  for (i = 0; i < len; ++i)
    isl_int_submul(dst[i], f, src[i]);
}
 
void isl_seq_addmul(isl_int *dst, isl_int f, isl_int *src, unsigned len)
{
  int i;
  for (i = 0; i < len; ++i)
    isl_int_addmul(dst[i], f, src[i]);
}
 
void isl_seq_swp_or_cpy(isl_int *dst, isl_int *src, unsigned len)
{
  int i;
  for (i = 0; i < len; ++i)
    isl_int_swap_or_set(dst[i], src[i]);
}
 
void isl_seq_scale(isl_int *dst, isl_int *src, isl_int m, unsigned len)
{
  int i;
  for (i = 0; i < len; ++i)
    isl_int_mul(dst[i], src[i], m);
}
 
void isl_seq_scale_down(isl_int *dst, isl_int *src, isl_int m, unsigned len)
{
  int i;
  for (i = 0; i < len; ++i)
    isl_int_divexact(dst[i], src[i], m);
}
 
void isl_seq_cdiv_q(isl_int *dst, isl_int *src, isl_int m, unsigned len)
{
  int i;
  for (i = 0; i < len; ++i)
    isl_int_cdiv_q(dst[i], src[i], m);
}
 
void isl_seq_fdiv_q(isl_int *dst, isl_int *src, isl_int m, unsigned len)
{
  int i;
  for (i = 0; i < len; ++i)
    isl_int_fdiv_q(dst[i], src[i], m);
}
 
void isl_seq_fdiv_r(isl_int *dst, isl_int *src, isl_int m, unsigned len)
{
  int i;
  for (i = 0; i < len; ++i)
    isl_int_fdiv_r(dst[i], src[i], m);
}
 
void isl_seq_combine(isl_int *dst, isl_int m1, isl_int *src1,
      isl_int m2, isl_int *src2, unsigned len)
{
  int i;
  isl_int tmp;
 
  if (dst == src1 && isl_int_is_one(m1)) {
    if (isl_int_is_zero(m2))
      return;
    for (i = 0; i < len; ++i)
      isl_int_addmul(src1[i], m2, src2[i]);
    return;
  }
 
  isl_int_init(tmp);
  for (i = 0; i < len; ++i) {
    isl_int_mul(tmp, m1, src1[i]);
    isl_int_addmul(tmp, m2, src2[i]);
    isl_int_set(dst[i], tmp);
  }
  isl_int_clear(tmp);
}
 
/* Eliminate element "pos" from "dst" using "src".
 * In particular, let d = dst[pos] and s = src[pos], then
 * dst is replaced by (|s| dst - sgn(s)d src)/gcd(s,d),
 * such that dst[pos] is zero after the elimination.
 * If "m" is not NULL, then *m is multiplied by |s|/gcd(s,d).
 * That is, it is multiplied by the same factor as "dst".
 */
void isl_seq_elim(isl_int *dst, isl_int *src, unsigned pos, unsigned len,
      isl_int *m)
{
  isl_int a;
  isl_int b;
 
  if (isl_int_is_zero(dst[pos]))
    return;
 
  isl_int_init(a);
  isl_int_init(b);
 
  isl_int_gcd(a, src[pos], dst[pos]);
  isl_int_divexact(b, dst[pos], a);
  if (isl_int_is_pos(src[pos]))
    isl_int_neg(b, b);
  isl_int_divexact(a, src[pos], a);
  isl_int_abs(a, a);
  isl_seq_combine(dst, a, dst, b, src, len);
 
  if (m)
    isl_int_mul(*m, *m, a);
 
  isl_int_clear(a);
  isl_int_clear(b);
}
 
int isl_seq_eq(isl_int *p1, isl_int *p2, unsigned len)
{
  int i;
  for (i = 0; i < len; ++i)
    if (isl_int_ne(p1[i], p2[i]))
      return 0;
  return 1;
}
 
int isl_seq_cmp(isl_int *p1, isl_int *p2, unsigned len)
{
  int i;
  int cmp;
  for (i = 0; i < len; ++i)
    if ((cmp = isl_int_cmp(p1[i], p2[i])) != 0)
      return cmp;
  return 0;
}
 
int isl_seq_is_neg(isl_int *p1, isl_int *p2, unsigned len)
{
  int i;
 
  for (i = 0; i < len; ++i) {
    if (isl_int_abs_ne(p1[i], p2[i]))
      return 0;
    if (isl_int_is_zero(p1[i]))
      continue;
    if (isl_int_eq(p1[i], p2[i]))
      return 0;
  }
  return 1;
}
 
int isl_seq_first_non_zero(isl_int *p, unsigned len)
{
  int i;
 
  for (i = 0; i < len; ++i)
    if (!isl_int_is_zero(p[i]))
      return i;
  return -1;
}
 
int isl_seq_last_non_zero(isl_int *p, unsigned len)
{
  int i;
 
  for (i = len - 1; i >= 0; --i)
    if (!isl_int_is_zero(p[i]))
      return i;
  return -1;
}
 
/* Does the sequence of length "len" starting at "p"
 * contain any non-zero element?
 */
int isl_seq_any_non_zero(isl_int *p, unsigned len)
{
  return isl_seq_first_non_zero(p, len) != -1;
}
 
void isl_seq_abs_max(isl_int *p, unsigned len, isl_int *max)
{
  int i;
 
  isl_int_set_si(*max, 0);
 
  for (i = 0; i < len; ++i)
    if (isl_int_abs_gt(p[i], *max))
      isl_int_abs(*max, p[i]);
}
 
int isl_seq_abs_min_non_zero(isl_int *p, unsigned len)
{
  int i, min = isl_seq_first_non_zero(p, len);
  if (min < 0)
    return -1;
  for (i = min + 1; i < len; ++i) {
    if (isl_int_is_zero(p[i]))
      continue;
    if (isl_int_abs_lt(p[i], p[min]))
      min = i;
  }
  return min;
}
 
void isl_seq_gcd(isl_int *p, unsigned len, isl_int *gcd)
{
  int i, min = isl_seq_abs_min_non_zero(p, len);
 
  if (min < 0) {
    isl_int_set_si(*gcd, 0);
    return;
  }
  isl_int_abs(*gcd, p[min]);
  for (i = 0; isl_int_cmp_si(*gcd, 1) > 0 && i < len; ++i) {
    if (i == min)
      continue;
    if (isl_int_is_zero(p[i]))
      continue;
    isl_int_gcd(*gcd, *gcd, p[i]);
  }
}
 
void isl_seq_normalize(struct isl_ctx *ctx, isl_int *p, unsigned len)
{
  if (len == 0)
    return;
  isl_seq_gcd(p, len, &ctx->normalize_gcd);
  if (!isl_int_is_zero(ctx->normalize_gcd) &&
      !isl_int_is_one(ctx->normalize_gcd))
    isl_seq_scale_down(p, p, ctx->normalize_gcd, len);
}
 
void isl_seq_lcm(isl_int *p, unsigned len, isl_int *lcm)
{
  int i;
 
  if (len == 0) {
    isl_int_set_si(*lcm, 1);
    return;
  }
  isl_int_set(*lcm, p[0]);
  for (i = 1; i < len; ++i)
    isl_int_lcm(*lcm, *lcm, p[i]);
}
 
void isl_seq_inner_product(isl_int *p1, isl_int *p2, unsigned len,
         isl_int *prod)
{
  int i;
  if (len == 0) {
    isl_int_set_si(*prod, 0);
    return;
  }
  isl_int_mul(*prod, p1[0], p2[0]);
  for (i = 1; i < len; ++i)
    isl_int_addmul(*prod, p1[i], p2[i]);
}
 
uint32_t isl_seq_hash(isl_int *p, unsigned len, uint32_t hash)
{
  int i;
  for (i = 0; i < len; ++i) {
    if (isl_int_is_zero(p[i]))
      continue;
    hash *= 16777619;
    hash ^= (i & 0xFF);
    hash = isl_int_hash(p[i], hash);
  }
  return hash;
}
 
/* Given two affine expressions "p" of length p_len (including the
 * denominator and the constant term) and "subs" of length subs_len,
 * plug in "subs" for the variable at position "pos".
 * The variables of "subs" and "p" are assumed to match up to subs_len,
 * but "p" may have additional variables.
 * "v" is an initialized isl_int that can be used internally.
 *
 * In particular, if "p" represents the expression
 *
 *  (a i + g)/m
 *
 * with i the variable at position "pos" and "subs" represents the expression
 *
 *  f/d
 *
 * then the result represents the expression
 *
 *  (a f + d g)/(m d)
 *
 */
void isl_seq_substitute(isl_int *p, int pos, isl_int *subs,
  int p_len, int subs_len, isl_int v)
{
  isl_int_set(v, p[1 + pos]);
  isl_int_set_si(p[1 + pos], 0);
  isl_seq_combine(p + 1, subs[0], p + 1, v, subs + 1, subs_len - 1);
  isl_seq_scale(p + subs_len, p + subs_len, subs[0], p_len - subs_len);
  isl_int_mul(p[0], p[0], subs[0]);
}
 
uint32_t isl_seq_get_hash(isl_int *p, unsigned len)
{
  uint32_t hash = isl_hash_init();
 
  return isl_seq_hash(p, len, hash);
}
 
uint32_t isl_seq_get_hash_bits(isl_int *p, unsigned len, unsigned bits)
{
  uint32_t hash;
 
  hash = isl_seq_get_hash(p, len);
  return isl_hash_bits(hash, bits);
}
 
void isl_seq_dump(isl_int *p, unsigned len)
{
  int i;
 
  for (i = 0; i < len; ++i) {
    if (i)
      fprintf(stderr, " ");
    isl_int_print(stderr, p[i], 0);
  }
  fprintf(stderr, "\n");
}