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_swp_or_cpy(isl_int *dst, isl_int *src, unsigned len)
  49 {
  50         int i;
  51         for (i = 0; i < len; ++i)
  52                 isl_int_swap_or_set(dst[i], src[i]);
  53 }
  54
  55 void isl_seq_scale(isl_int *dst, isl_int *src, isl_int m, unsigned len)
  56 {
  57         int i;
  58         for (i = 0; i < len; ++i)
  59                 isl_int_mul(dst[i], src[i], m);
  60 }
  61
  62 void isl_seq_scale_down(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_divexact(dst[i], src[i], m);
  67 }
  68
  69 void isl_seq_cdiv_q(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_cdiv_q(dst[i], src[i], m);
  74 }
  75
  76 void isl_seq_fdiv_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_fdiv_q(dst[i], src[i], m);
  81 }
  82
  83 void isl_seq_fdiv_r(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_r(dst[i], src[i], m);
  88 }
  89
  90 void isl_seq_combine(isl_int *dst, isl_int m1, isl_int *src1,
  91                         isl_int m2, isl_int *src2, unsigned len)
  92 {
  93         int i;
  94         isl_int tmp;
  95
  96         isl_int_init(tmp);
  97         for (i = 0; i < len; ++i) {
  98                 isl_int_mul(tmp, m1, src1[i]);
  99                 isl_int_addmul(tmp, m2, src2[i]);
 100                 isl_int_set(dst[i], tmp);
 101         }
 102         isl_int_clear(tmp);
 103 }
 104
 105 /*
 106  * Let d = dst[pos] and s = src[pos]
 107  * dst is replaced by |s| dst - sgn(s)d src
 108  */
 109 void isl_seq_elim(isl_int *dst, isl_int *src, unsigned pos, unsigned len,
 110                   isl_int *m)
 111 {
 112         isl_int a;
 113         isl_int b;
 114
 115         if (isl_int_is_zero(dst[pos]))
 116                 return;
 117
 118         isl_int_init(a);
 119         isl_int_init(b);
 120
 121         isl_int_gcd(a, src[pos], dst[pos]);
 122         isl_int_divexact(b, dst[pos], a);
 123         if (isl_int_is_pos(src[pos]))
 124                 isl_int_neg(b, b);
 125         isl_int_divexact(a, src[pos], a);
 126         isl_int_abs(a, a);
 127         isl_seq_combine(dst, a, dst, b, src, len);
 128
 129         if (m)
 130                 isl_int_mul(*m, *m, a);
 131
 132         isl_int_clear(a);
 133         isl_int_clear(b);
 134 }
 135
 136 int isl_seq_eq(isl_int *p1, isl_int *p2, unsigned len)
 137 {
 138         int i;
 139         for (i = 0; i < len; ++i)
 140                 if (isl_int_ne(p1[i], p2[i]))
 141                         return 0;
 142         return 1;
 143 }
 144
 145 int isl_seq_cmp(isl_int *p1, isl_int *p2, unsigned len)
 146 {
 147         int i;
 148         int cmp;
 149         for (i = 0; i < len; ++i)
 150                 if ((cmp = isl_int_cmp(p1[i], p2[i])) != 0)
 151                         return cmp;
 152         return 0;
 153 }
 154
 155 int isl_seq_is_neg(isl_int *p1, isl_int *p2, unsigned len)
 156 {
 157         int i;
 158
 159         for (i = 0; i < len; ++i) {
 160                 if (isl_int_abs_ne(p1[i], p2[i]))
 161                         return 0;
 162                 if (isl_int_is_zero(p1[i]))
 163                         continue;
 164                 if (isl_int_eq(p1[i], p2[i]))
 165                         return 0;
 166         }
 167         return 1;
 168 }
 169
 170 int isl_seq_first_non_zero(isl_int *p, unsigned len)
 171 {
 172         int i;
 173
 174         for (i = 0; i < len; ++i)
 175                 if (!isl_int_is_zero(p[i]))
 176                         return i;
 177         return -1;
 178 }
 179
 180 int isl_seq_last_non_zero(isl_int *p, unsigned len)
 181 {
 182         int i;
 183
 184         for (i = len - 1; i >= 0; --i)
 185                 if (!isl_int_is_zero(p[i]))
 186                         return i;
 187         return -1;
 188 }
 189
 190 int isl_seq_abs_min_non_zero(isl_int *p, unsigned len)
 191 {
 192         int i, min = isl_seq_first_non_zero(p, len);
 193         if (min < 0)
 194                 return -1;
 195         for (i = min + 1; i < len; ++i) {
 196                 if (isl_int_is_zero(p[i]))
 197                         continue;
 198                 if (isl_int_abs_lt(p[i], p[min]))
 199                         min = i;
 200         }
 201         return min;
 202 }
 203
 204 void isl_seq_gcd(isl_int *p, unsigned len, isl_int *gcd)
 205 {
 206         int i, min = isl_seq_abs_min_non_zero(p, len);
 207
 208         if (min < 0) {
 209                 isl_int_set_si(*gcd, 0);
 210                 return;
 211         }
 212         isl_int_abs(*gcd, p[min]);
 213         for (i = 0; isl_int_cmp_si(*gcd, 1) > 0 && i < len; ++i) {
 214                 if (i == min)
 215                         continue;
 216                 if (isl_int_is_zero(p[i]))
 217                         continue;
 218                 isl_int_gcd(*gcd, *gcd, p[i]);
 219         }
 220 }
 221
 222 void isl_seq_normalize(struct isl_ctx *ctx, isl_int *p, unsigned len)
 223 {
 224         if (len == 0)
 225                 return;
 226         isl_seq_gcd(p, len, &ctx->normalize_gcd);
 227         if (!isl_int_is_zero(ctx->normalize_gcd) &&
 228             !isl_int_is_one(ctx->normalize_gcd))
 229                 isl_seq_scale_down(p, p, ctx->normalize_gcd, len);
 230 }
 231
 232 void isl_seq_lcm(isl_int *p, unsigned len, isl_int *lcm)
 233 {
 234         int i;
 235
 236         if (len == 0) {
 237                 isl_int_set_si(*lcm, 1);
 238                 return;
 239         }
 240         isl_int_set(*lcm, p[0]);
 241         for (i = 1; i < len; ++i)
 242                 isl_int_lcm(*lcm, *lcm, p[i]);
 243 }
 244
 245 void isl_seq_inner_product(isl_int *p1, isl_int *p2, unsigned len,
 246                            isl_int *prod)
 247 {
 248         int i;
 249         if (len == 0) {
 250                 isl_int_set_si(*prod, 0);
 251                 return;
 252         }
 253         isl_int_mul(*prod, p1[0], p2[0]);
 254         for (i = 1; i < len; ++i)
 255                 isl_int_addmul(*prod, p1[i], p2[i]);
 256 }
 257
 258 uint32_t isl_seq_hash(isl_int *p, unsigned len, uint32_t hash)
 259 {
 260         int i;
 261         for (i = 0; i < len; ++i) {
 262                 if (isl_int_is_zero(p[i]))
 263                         continue;
 264                 hash *= 16777619;
 265                 hash ^= (i & 0xFF);
 266                 hash = isl_int_hash(p[i], hash);
 267         }
 268         return hash;
 269 }
 270
 271 uint32_t isl_seq_get_hash(isl_int *p, unsigned len)
 272 {
 273         uint32_t hash = isl_hash_init();
 274
 275         return isl_seq_hash(p, len, hash);
 276 }
 277
 278 uint32_t isl_seq_get_hash_bits(isl_int *p, unsigned len, unsigned bits)
 279 {
 280         uint32_t hash;
 281
 282         hash = isl_seq_get_hash(p, len);
 283         return isl_hash_bits(hash, bits);
 284 }