isl_seq.c

   1 /*
   2  * Copyright 2008-2009 Katholieke Universiteit Leuven
   3  *
   4  * Use of this software is governed by the MIT license
   5  *
   6  * Written by Sven Verdoolaege, K.U.Leuven, Departement
   7  * Computerwetenschappen, Celestijnenlaan 200A, B-3001 Leuven, Belgium
   8  */
   9
  10 #include <isl_ctx_private.h>
  11 #include <isl_seq.h>
  12
  13 void isl_seq_clr(isl_int *p, unsigned len)
  14 {
  15         int i;
  16         for (i = 0; i < len; ++i)
  17                 isl_int_set_si(p[i], 0);
  18 }
  19
  20 void isl_seq_set_si(isl_int *p, int v, unsigned len)
  21 {
  22         int i;
  23         for (i = 0; i < len; ++i)
  24                 isl_int_set_si(p[i], v);
  25 }
  26
  27 void isl_seq_set(isl_int *p, isl_int v, unsigned len)
  28 {
  29         int i;
  30         for (i = 0; i < len; ++i)
  31                 isl_int_set(p[i], v);
  32 }
  33
  34 void isl_seq_neg(isl_int *dst, isl_int *src, unsigned len)
  35 {
  36         int i;
  37         for (i = 0; i < len; ++i)
  38                 isl_int_neg(dst[i], src[i]);
  39 }
  40
  41 void isl_seq_cpy(isl_int *dst, isl_int *src, unsigned len)
  42 {
  43         int i;
  44         for (i = 0; i < len; ++i)
  45                 isl_int_set(dst[i], src[i]);
  46 }
  47
  48 void isl_seq_submul(isl_int *dst, isl_int f, isl_int *src, unsigned len)
  49 {
  50         int i;
  51         for (i = 0; i < len; ++i)
  52                 isl_int_submul(dst[i], f, src[i]);
  53 }
  54
  55 void isl_seq_addmul(isl_int *dst, isl_int f, isl_int *src, unsigned len)
  56 {
  57         int i;
  58         for (i = 0; i < len; ++i)
  59                 isl_int_addmul(dst[i], f, src[i]);
  60 }
  61
  62 void isl_seq_swp_or_cpy(isl_int *dst, isl_int *src, unsigned len)
  63 {
  64         int i;
  65         for (i = 0; i < len; ++i)
  66                 isl_int_swap_or_set(dst[i], src[i]);
  67 }
  68
  69 void isl_seq_scale(isl_int *dst, isl_int *src, isl_int m, unsigned len)
  70 {
  71         int i;
  72         for (i = 0; i < len; ++i)
  73                 isl_int_mul(dst[i], src[i], m);
  74 }
  75
  76 void isl_seq_scale_down(isl_int *dst, isl_int *src, isl_int m, unsigned len)
  77 {
  78         int i;
  79         for (i = 0; i < len; ++i)
  80                 isl_int_divexact(dst[i], src[i], m);
  81 }
  82
  83 void isl_seq_cdiv_q(isl_int *dst, isl_int *src, isl_int m, unsigned len)
  84 {
  85         int i;
  86         for (i = 0; i < len; ++i)
  87                 isl_int_cdiv_q(dst[i], src[i], m);
  88 }
  89
  90 void isl_seq_fdiv_q(isl_int *dst, isl_int *src, isl_int m, unsigned len)
  91 {
  92         int i;
  93         for (i = 0; i < len; ++i)
  94                 isl_int_fdiv_q(dst[i], src[i], m);
  95 }
  96
  97 void isl_seq_fdiv_r(isl_int *dst, isl_int *src, isl_int m, unsigned len)
  98 {
  99         int i;
 100         for (i = 0; i < len; ++i)
 101                 isl_int_fdiv_r(dst[i], src[i], m);
 102 }
 103
 104 void isl_seq_combine(isl_int *dst, isl_int m1, isl_int *src1,
 105                         isl_int m2, isl_int *src2, unsigned len)
 106 {
 107         int i;
 108         isl_int tmp;
 109
 110         isl_int_init(tmp);
 111         for (i = 0; i < len; ++i) {
 112                 isl_int_mul(tmp, m1, src1[i]);
 113                 isl_int_addmul(tmp, m2, src2[i]);
 114                 isl_int_set(dst[i], tmp);
 115         }
 116         isl_int_clear(tmp);
 117 }
 118
 119 /*
 120  * Let d = dst[pos] and s = src[pos]
 121  * dst is replaced by |s| dst - sgn(s)d src
 122  */
 123 void isl_seq_elim(isl_int *dst, isl_int *src, unsigned pos, unsigned len,
 124                   isl_int *m)
 125 {
 126         isl_int a;
 127         isl_int b;
 128
 129         if (isl_int_is_zero(dst[pos]))
 130                 return;
 131
 132         isl_int_init(a);
 133         isl_int_init(b);
 134
 135         isl_int_gcd(a, src[pos], dst[pos]);
 136         isl_int_divexact(b, dst[pos], a);
 137         if (isl_int_is_pos(src[pos]))
 138                 isl_int_neg(b, b);
 139         isl_int_divexact(a, src[pos], a);
 140         isl_int_abs(a, a);
 141         isl_seq_combine(dst, a, dst, b, src, len);
 142
 143         if (m)
 144                 isl_int_mul(*m, *m, a);
 145
 146         isl_int_clear(a);
 147         isl_int_clear(b);
 148 }
 149
 150 int isl_seq_eq(isl_int *p1, isl_int *p2, unsigned len)
 151 {
 152         int i;
 153         for (i = 0; i < len; ++i)
 154                 if (isl_int_ne(p1[i], p2[i]))
 155                         return 0;
 156         return 1;
 157 }
 158
 159 int isl_seq_cmp(isl_int *p1, isl_int *p2, unsigned len)
 160 {
 161         int i;
 162         int cmp;
 163         for (i = 0; i < len; ++i)
 164                 if ((cmp = isl_int_cmp(p1[i], p2[i])) != 0)
 165                         return cmp;
 166         return 0;
 167 }
 168
 169 int isl_seq_is_neg(isl_int *p1, isl_int *p2, unsigned len)
 170 {
 171         int i;
 172
 173         for (i = 0; i < len; ++i) {
 174                 if (isl_int_abs_ne(p1[i], p2[i]))
 175                         return 0;
 176                 if (isl_int_is_zero(p1[i]))
 177                         continue;
 178                 if (isl_int_eq(p1[i], p2[i]))
 179                         return 0;
 180         }
 181         return 1;
 182 }
 183
 184 int isl_seq_first_non_zero(isl_int *p, unsigned len)
 185 {
 186         int i;
 187
 188         for (i = 0; i < len; ++i)
 189                 if (!isl_int_is_zero(p[i]))
 190                         return i;
 191         return -1;
 192 }
 193
 194 int isl_seq_last_non_zero(isl_int *p, unsigned len)
 195 {
 196         int i;
 197
 198         for (i = len - 1; i >= 0; --i)
 199                 if (!isl_int_is_zero(p[i]))
 200                         return i;
 201         return -1;
 202 }
 203
 204 void isl_seq_abs_max(isl_int *p, unsigned len, isl_int *max)
 205 {
 206         int i;
 207
 208         isl_int_set_si(*max, 0);
 209
 210         for (i = 0; i < len; ++i)
 211                 if (isl_int_abs_gt(p[i], *max))
 212                         isl_int_abs(*max, p[i]);
 213 }
 214
 215 int isl_seq_abs_min_non_zero(isl_int *p, unsigned len)
 216 {
 217         int i, min = isl_seq_first_non_zero(p, len);
 218         if (min < 0)
 219                 return -1;
 220         for (i = min + 1; i < len; ++i) {
 221                 if (isl_int_is_zero(p[i]))
 222                         continue;
 223                 if (isl_int_abs_lt(p[i], p[min]))
 224                         min = i;
 225         }
 226         return min;
 227 }
 228
 229 void isl_seq_gcd(isl_int *p, unsigned len, isl_int *gcd)
 230 {
 231         int i, min = isl_seq_abs_min_non_zero(p, len);
 232
 233         if (min < 0) {
 234                 isl_int_set_si(*gcd, 0);
 235                 return;
 236         }
 237         isl_int_abs(*gcd, p[min]);
 238         for (i = 0; isl_int_cmp_si(*gcd, 1) > 0 && i < len; ++i) {
 239                 if (i == min)
 240                         continue;
 241                 if (isl_int_is_zero(p[i]))
 242                         continue;
 243                 isl_int_gcd(*gcd, *gcd, p[i]);
 244         }
 245 }
 246
 247 void isl_seq_normalize(struct isl_ctx *ctx, isl_int *p, unsigned len)
 248 {
 249         if (len == 0)
 250                 return;
 251         isl_seq_gcd(p, len, &ctx->normalize_gcd);
 252         if (!isl_int_is_zero(ctx->normalize_gcd) &&
 253             !isl_int_is_one(ctx->normalize_gcd))
 254                 isl_seq_scale_down(p, p, ctx->normalize_gcd, len);
 255 }
 256
 257 void isl_seq_lcm(isl_int *p, unsigned len, isl_int *lcm)
 258 {
 259         int i;
 260
 261         if (len == 0) {
 262                 isl_int_set_si(*lcm, 1);
 263                 return;
 264         }
 265         isl_int_set(*lcm, p[0]);
 266         for (i = 1; i < len; ++i)
 267                 isl_int_lcm(*lcm, *lcm, p[i]);
 268 }
 269
 270 void isl_seq_inner_product(isl_int *p1, isl_int *p2, unsigned len,
 271                            isl_int *prod)
 272 {
 273         int i;
 274         if (len == 0) {
 275                 isl_int_set_si(*prod, 0);
 276                 return;
 277         }
 278         isl_int_mul(*prod, p1[0], p2[0]);
 279         for (i = 1; i < len; ++i)
 280                 isl_int_addmul(*prod, p1[i], p2[i]);
 281 }
 282
 283 uint32_t isl_seq_hash(isl_int *p, unsigned len, uint32_t hash)
 284 {
 285         int i;
 286         for (i = 0; i < len; ++i) {
 287                 if (isl_int_is_zero(p[i]))
 288                         continue;
 289                 hash *= 16777619;
 290                 hash ^= (i & 0xFF);
 291                 hash = isl_int_hash(p[i], hash);
 292         }
 293         return hash;
 294 }
 295
 296 uint32_t isl_seq_get_hash(isl_int *p, unsigned len)
 297 {
 298         uint32_t hash = isl_hash_init();
 299
 300         return isl_seq_hash(p, len, hash);
 301 }
 302
 303 uint32_t isl_seq_get_hash_bits(isl_int *p, unsigned len, unsigned bits)
 304 {
 305         uint32_t hash;
 306
 307         hash = isl_seq_get_hash(p, len);
 308         return isl_hash_bits(hash, bits);
 309 }
 310
 311 void isl_seq_dump(isl_int *p, unsigned len)
 312 {
 313         int i;
 314
 315         for (i = 0; i < len; ++i) {
 316                 if (i)
 317                         fprintf(stderr, " ");
 318                 isl_int_print(stderr, p[i], 0);
 319         }
 320         fprintf(stderr, "\n");
 321 }