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_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(isl_int *p, isl_int v, unsigned len)
  21 {
  22         int i;
  23         for (i = 0; i < len; ++i)
  24                 isl_int_set(p[i], v);
  25 }
  26
  27 void isl_seq_neg(isl_int *dst, isl_int *src, unsigned len)
  28 {
  29         int i;
  30         for (i = 0; i < len; ++i)
  31                 isl_int_neg(dst[i], src[i]);
  32 }
  33
  34 void isl_seq_cpy(isl_int *dst, isl_int *src, unsigned len)
  35 {
  36         int i;
  37         for (i = 0; i < len; ++i)
  38                 isl_int_set(dst[i], src[i]);
  39 }
  40
  41 void isl_seq_submul(isl_int *dst, isl_int f, isl_int *src, unsigned len)
  42 {
  43         int i;
  44         for (i = 0; i < len; ++i)
  45                 isl_int_submul(dst[i], f, src[i]);
  46 }
  47
  48 void isl_seq_addmul(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_addmul(dst[i], f, src[i]);
  53 }
  54
  55 void isl_seq_swp_or_cpy(isl_int *dst, isl_int *src, unsigned len)
  56 {
  57         int i;
  58         for (i = 0; i < len; ++i)
  59                 isl_int_swap_or_set(dst[i], src[i]);
  60 }
  61
  62 void isl_seq_scale(isl_int *dst, isl_int *src, isl_int m, unsigned len)
  63 {
  64         int i;
  65         for (i = 0; i < len; ++i)
  66                 isl_int_mul(dst[i], src[i], m);
  67 }
  68
  69 void isl_seq_scale_down(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_divexact(dst[i], src[i], m);
  74 }
  75
  76 void isl_seq_cdiv_q(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_cdiv_q(dst[i], src[i], m);
  81 }
  82
  83 void isl_seq_fdiv_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_fdiv_q(dst[i], src[i], m);
  88 }
  89
  90 void isl_seq_fdiv_r(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_r(dst[i], src[i], m);
  95 }
  96
  97 void isl_seq_combine(isl_int *dst, isl_int m1, isl_int *src1,
  98                         isl_int m2, isl_int *src2, unsigned len)
  99 {
 100         int i;
 101         isl_int tmp;
 102
 103         isl_int_init(tmp);
 104         for (i = 0; i < len; ++i) {
 105                 isl_int_mul(tmp, m1, src1[i]);
 106                 isl_int_addmul(tmp, m2, src2[i]);
 107                 isl_int_set(dst[i], tmp);
 108         }
 109         isl_int_clear(tmp);
 110 }
 111
 112 /*
 113  * Let d = dst[pos] and s = src[pos]
 114  * dst is replaced by |s| dst - sgn(s)d src
 115  */
 116 void isl_seq_elim(isl_int *dst, isl_int *src, unsigned pos, unsigned len,
 117                   isl_int *m)
 118 {
 119         isl_int a;
 120         isl_int b;
 121
 122         if (isl_int_is_zero(dst[pos]))
 123                 return;
 124
 125         isl_int_init(a);
 126         isl_int_init(b);
 127
 128         isl_int_gcd(a, src[pos], dst[pos]);
 129         isl_int_divexact(b, dst[pos], a);
 130         if (isl_int_is_pos(src[pos]))
 131                 isl_int_neg(b, b);
 132         isl_int_divexact(a, src[pos], a);
 133         isl_int_abs(a, a);
 134         isl_seq_combine(dst, a, dst, b, src, len);
 135
 136         if (m)
 137                 isl_int_mul(*m, *m, a);
 138
 139         isl_int_clear(a);
 140         isl_int_clear(b);
 141 }
 142
 143 int isl_seq_eq(isl_int *p1, isl_int *p2, unsigned len)
 144 {
 145         int i;
 146         for (i = 0; i < len; ++i)
 147                 if (isl_int_ne(p1[i], p2[i]))
 148                         return 0;
 149         return 1;
 150 }
 151
 152 int isl_seq_cmp(isl_int *p1, isl_int *p2, unsigned len)
 153 {
 154         int i;
 155         int cmp;
 156         for (i = 0; i < len; ++i)
 157                 if ((cmp = isl_int_cmp(p1[i], p2[i])) != 0)
 158                         return cmp;
 159         return 0;
 160 }
 161
 162 int isl_seq_is_neg(isl_int *p1, isl_int *p2, unsigned len)
 163 {
 164         int i;
 165
 166         for (i = 0; i < len; ++i) {
 167                 if (isl_int_abs_ne(p1[i], p2[i]))
 168                         return 0;
 169                 if (isl_int_is_zero(p1[i]))
 170                         continue;
 171                 if (isl_int_eq(p1[i], p2[i]))
 172                         return 0;
 173         }
 174         return 1;
 175 }
 176
 177 int isl_seq_first_non_zero(isl_int *p, unsigned len)
 178 {
 179         int i;
 180
 181         for (i = 0; i < len; ++i)
 182                 if (!isl_int_is_zero(p[i]))
 183                         return i;
 184         return -1;
 185 }
 186
 187 int isl_seq_last_non_zero(isl_int *p, unsigned len)
 188 {
 189         int i;
 190
 191         for (i = len - 1; i >= 0; --i)
 192                 if (!isl_int_is_zero(p[i]))
 193                         return i;
 194         return -1;
 195 }
 196
 197 int isl_seq_abs_min_non_zero(isl_int *p, unsigned len)
 198 {
 199         int i, min = isl_seq_first_non_zero(p, len);
 200         if (min < 0)
 201                 return -1;
 202         for (i = min + 1; i < len; ++i) {
 203                 if (isl_int_is_zero(p[i]))
 204                         continue;
 205                 if (isl_int_abs_lt(p[i], p[min]))
 206                         min = i;
 207         }
 208         return min;
 209 }
 210
 211 void isl_seq_gcd(isl_int *p, unsigned len, isl_int *gcd)
 212 {
 213         int i, min = isl_seq_abs_min_non_zero(p, len);
 214
 215         if (min < 0) {
 216                 isl_int_set_si(*gcd, 0);
 217                 return;
 218         }
 219         isl_int_abs(*gcd, p[min]);
 220         for (i = 0; isl_int_cmp_si(*gcd, 1) > 0 && i < len; ++i) {
 221                 if (i == min)
 222                         continue;
 223                 if (isl_int_is_zero(p[i]))
 224                         continue;
 225                 isl_int_gcd(*gcd, *gcd, p[i]);
 226         }
 227 }
 228
 229 void isl_seq_normalize(struct isl_ctx *ctx, isl_int *p, unsigned len)
 230 {
 231         if (len == 0)
 232                 return;
 233         isl_seq_gcd(p, len, &ctx->normalize_gcd);
 234         if (!isl_int_is_zero(ctx->normalize_gcd) &&
 235             !isl_int_is_one(ctx->normalize_gcd))
 236                 isl_seq_scale_down(p, p, ctx->normalize_gcd, len);
 237 }
 238
 239 void isl_seq_lcm(isl_int *p, unsigned len, isl_int *lcm)
 240 {
 241         int i;
 242
 243         if (len == 0) {
 244                 isl_int_set_si(*lcm, 1);
 245                 return;
 246         }
 247         isl_int_set(*lcm, p[0]);
 248         for (i = 1; i < len; ++i)
 249                 isl_int_lcm(*lcm, *lcm, p[i]);
 250 }
 251
 252 void isl_seq_inner_product(isl_int *p1, isl_int *p2, unsigned len,
 253                            isl_int *prod)
 254 {
 255         int i;
 256         if (len == 0) {
 257                 isl_int_set_si(*prod, 0);
 258                 return;
 259         }
 260         isl_int_mul(*prod, p1[0], p2[0]);
 261         for (i = 1; i < len; ++i)
 262                 isl_int_addmul(*prod, p1[i], p2[i]);
 263 }
 264
 265 uint32_t isl_seq_hash(isl_int *p, unsigned len, uint32_t hash)
 266 {
 267         int i;
 268         for (i = 0; i < len; ++i) {
 269                 if (isl_int_is_zero(p[i]))
 270                         continue;
 271                 hash *= 16777619;
 272                 hash ^= (i & 0xFF);
 273                 hash = isl_int_hash(p[i], hash);
 274         }
 275         return hash;
 276 }
 277
 278 uint32_t isl_seq_get_hash(isl_int *p, unsigned len)
 279 {
 280         uint32_t hash = isl_hash_init();
 281
 282         return isl_seq_hash(p, len, hash);
 283 }
 284
 285 uint32_t isl_seq_get_hash_bits(isl_int *p, unsigned len, unsigned bits)
 286 {
 287         uint32_t hash;
 288
 289         hash = isl_seq_get_hash(p, len);
 290         return isl_hash_bits(hash, bits);
 291 }