isl_seq.c

   1 /*
   2  * Copyright 2008-2009 Katholieke Universiteit Leuven
   3  *
   4  * Use of this software is governed by the GNU LGPLv2.1 license
   5  *
   6  * Written by Sven Verdoolaege, K.U.Leuven, Departement
   7  * Computerwetenschappen, Celestijnenlaan 200A, B-3001 Leuven, Belgium
   8  */
   9
  10 #include "isl_seq.h"
  11
  12 void isl_seq_clr(isl_int *p, unsigned len)
  13 {
  14         int i;
  15         for (i = 0; i < len; ++i)
  16                 isl_int_set_si(p[i], 0);
  17 }
  18
  19 void isl_seq_neg(isl_int *dst, isl_int *src, unsigned len)
  20 {
  21         int i;
  22         for (i = 0; i < len; ++i)
  23                 isl_int_neg(dst[i], src[i]);
  24 }
  25
  26 void isl_seq_cpy(isl_int *dst, isl_int *src, unsigned len)
  27 {
  28         int i;
  29         for (i = 0; i < len; ++i)
  30                 isl_int_set(dst[i], src[i]);
  31 }
  32
  33 void isl_seq_submul(isl_int *dst, isl_int f, isl_int *src, unsigned len)
  34 {
  35         int i;
  36         for (i = 0; i < len; ++i)
  37                 isl_int_submul(dst[i], f, src[i]);
  38 }
  39
  40 void isl_seq_swp_or_cpy(isl_int *dst, isl_int *src, unsigned len)
  41 {
  42         int i;
  43         for (i = 0; i < len; ++i)
  44                 isl_int_swap_or_set(dst[i], src[i]);
  45 }
  46
  47 void isl_seq_scale(isl_int *dst, isl_int *src, isl_int m, unsigned len)
  48 {
  49         int i;
  50         for (i = 0; i < len; ++i)
  51                 isl_int_mul(dst[i], src[i], m);
  52 }
  53
  54 void isl_seq_scale_down(isl_int *dst, isl_int *src, isl_int m, unsigned len)
  55 {
  56         int i;
  57         for (i = 0; i < len; ++i)
  58                 isl_int_divexact(dst[i], src[i], m);
  59 }
  60
  61 void isl_seq_cdiv_q(isl_int *dst, isl_int *src, isl_int m, unsigned len)
  62 {
  63         int i;
  64         for (i = 0; i < len; ++i)
  65                 isl_int_cdiv_q(dst[i], src[i], m);
  66 }
  67
  68 void isl_seq_fdiv_q(isl_int *dst, isl_int *src, isl_int m, unsigned len)
  69 {
  70         int i;
  71         for (i = 0; i < len; ++i)
  72                 isl_int_fdiv_q(dst[i], src[i], m);
  73 }
  74
  75 void isl_seq_fdiv_r(isl_int *dst, isl_int *src, isl_int m, unsigned len)
  76 {
  77         int i;
  78         for (i = 0; i < len; ++i)
  79                 isl_int_fdiv_r(dst[i], src[i], m);
  80 }
  81
  82 void isl_seq_combine(isl_int *dst, isl_int m1, isl_int *src1,
  83                         isl_int m2, isl_int *src2, unsigned len)
  84 {
  85         int i;
  86         isl_int tmp;
  87
  88         isl_int_init(tmp);
  89         for (i = 0; i < len; ++i) {
  90                 isl_int_mul(tmp, m1, src1[i]);
  91                 isl_int_addmul(tmp, m2, src2[i]);
  92                 isl_int_set(dst[i], tmp);
  93         }
  94         isl_int_clear(tmp);
  95 }
  96
  97 /*
  98  * Let d = dst[pos] and s = src[pos]
  99  * dst is replaced by |s| dst - sgn(s)d src
 100  */
 101 void isl_seq_elim(isl_int *dst, isl_int *src, unsigned pos, unsigned len,
 102                   isl_int *m)
 103 {
 104         isl_int a;
 105         isl_int b;
 106
 107         if (isl_int_is_zero(dst[pos]))
 108                 return;
 109
 110         isl_int_init(a);
 111         isl_int_init(b);
 112
 113         isl_int_gcd(a, src[pos], dst[pos]);
 114         isl_int_divexact(b, dst[pos], a);
 115         if (isl_int_is_pos(src[pos]))
 116                 isl_int_neg(b, b);
 117         isl_int_divexact(a, src[pos], a);
 118         isl_int_abs(a, a);
 119         isl_seq_combine(dst, a, dst, b, src, len);
 120
 121         if (m)
 122                 isl_int_mul(*m, *m, a);
 123
 124         isl_int_clear(a);
 125         isl_int_clear(b);
 126 }
 127
 128 int isl_seq_eq(isl_int *p1, isl_int *p2, unsigned len)
 129 {
 130         int i;
 131         for (i = 0; i < len; ++i)
 132                 if (isl_int_ne(p1[i], p2[i]))
 133                         return 0;
 134         return 1;
 135 }
 136
 137 int isl_seq_cmp(isl_int *p1, isl_int *p2, unsigned len)
 138 {
 139         int i;
 140         int cmp;
 141         for (i = 0; i < len; ++i)
 142                 if ((cmp = isl_int_cmp(p1[i], p2[i])) != 0)
 143                         return cmp;
 144         return 0;
 145 }
 146
 147 int isl_seq_is_neg(isl_int *p1, isl_int *p2, unsigned len)
 148 {
 149         int i;
 150
 151         for (i = 0; i < len; ++i) {
 152                 if (isl_int_abs_ne(p1[i], p2[i]))
 153                         return 0;
 154                 if (isl_int_is_zero(p1[i]))
 155                         continue;
 156                 if (isl_int_eq(p1[i], p2[i]))
 157                         return 0;
 158         }
 159         return 1;
 160 }
 161
 162 int isl_seq_first_non_zero(isl_int *p, unsigned len)
 163 {
 164         int i;
 165
 166         for (i = 0; i < len; ++i)
 167                 if (!isl_int_is_zero(p[i]))
 168                         return i;
 169         return -1;
 170 }
 171
 172 int isl_seq_last_non_zero(isl_int *p, unsigned len)
 173 {
 174         int i;
 175
 176         for (i = len - 1; i >= 0; --i)
 177                 if (!isl_int_is_zero(p[i]))
 178                         return i;
 179         return -1;
 180 }
 181
 182 int isl_seq_abs_min_non_zero(isl_int *p, unsigned len)
 183 {
 184         int i, min = isl_seq_first_non_zero(p, len);
 185         if (min < 0)
 186                 return -1;
 187         for (i = min + 1; i < len; ++i) {
 188                 if (isl_int_is_zero(p[i]))
 189                         continue;
 190                 if (isl_int_abs_lt(p[i], p[min]))
 191                         min = i;
 192         }
 193         return min;
 194 }
 195
 196 void isl_seq_gcd(isl_int *p, unsigned len, isl_int *gcd)
 197 {
 198         int i, min = isl_seq_abs_min_non_zero(p, len);
 199
 200         if (min < 0) {
 201                 isl_int_set_si(*gcd, 0);
 202                 return;
 203         }
 204         isl_int_abs(*gcd, p[min]);
 205         for (i = 0; isl_int_cmp_si(*gcd, 1) > 0 && i < len; ++i) {
 206                 if (i == min)
 207                         continue;
 208                 if (isl_int_is_zero(p[i]))
 209                         continue;
 210                 isl_int_gcd(*gcd, *gcd, p[i]);
 211         }
 212 }
 213
 214 void isl_seq_normalize(struct isl_ctx *ctx, isl_int *p, unsigned len)
 215 {
 216         if (len == 0)
 217                 return;
 218         isl_seq_gcd(p, len, &ctx->normalize_gcd);
 219         if (!isl_int_is_zero(ctx->normalize_gcd) &&
 220             !isl_int_is_one(ctx->normalize_gcd))
 221                 isl_seq_scale_down(p, p, ctx->normalize_gcd, len);
 222 }
 223
 224 void isl_seq_lcm(isl_int *p, unsigned len, isl_int *lcm)
 225 {
 226         int i;
 227
 228         if (len == 0) {
 229                 isl_int_set_si(*lcm, 1);
 230                 return;
 231         }
 232         isl_int_set(*lcm, p[0]);
 233         for (i = 1; i < len; ++i)
 234                 isl_int_lcm(*lcm, *lcm, p[i]);
 235 }
 236
 237 void isl_seq_inner_product(isl_int *p1, isl_int *p2, unsigned len,
 238                            isl_int *prod)
 239 {
 240         int i;
 241         if (len == 0) {
 242                 isl_int_set_si(*prod, 0);
 243                 return;
 244         }
 245         isl_int_mul(*prod, p1[0], p2[0]);
 246         for (i = 1; i < len; ++i)
 247                 isl_int_addmul(*prod, p1[i], p2[i]);
 248 }
 249
 250 uint32_t isl_seq_hash(isl_int *p, unsigned len, uint32_t hash)
 251 {
 252         int i;
 253         for (i = 0; i < len; ++i) {
 254                 if (isl_int_is_zero(p[i]))
 255                         continue;
 256                 hash *= 16777619;
 257                 hash ^= (i & 0xFF);
 258                 hash = isl_int_hash(p[i], hash);
 259         }
 260         return hash;
 261 }
 262
 263 uint32_t isl_seq_get_hash(isl_int *p, unsigned len)
 264 {
 265         uint32_t hash = isl_hash_init();
 266
 267         return isl_seq_hash(p, len, hash);
 268 }
 269
 270 uint32_t isl_seq_get_hash_bits(isl_int *p, unsigned len, unsigned bits)
 271 {
 272         uint32_t hash;
 273
 274         hash = isl_seq_get_hash(p, len);
 275         return isl_hash_bits(hash, bits);
 276 }