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_set(isl_int *p, isl_int v, unsigned len)
  20 {
  21         int i;
  22         for (i = 0; i < len; ++i)
  23                 isl_int_set(p[i], v);
  24 }
  25
  26 void isl_seq_neg(isl_int *dst, isl_int *src, unsigned len)
  27 {
  28         int i;
  29         for (i = 0; i < len; ++i)
  30                 isl_int_neg(dst[i], src[i]);
  31 }
  32
  33 void isl_seq_cpy(isl_int *dst, isl_int *src, unsigned len)
  34 {
  35         int i;
  36         for (i = 0; i < len; ++i)
  37                 isl_int_set(dst[i], src[i]);
  38 }
  39
  40 void isl_seq_submul(isl_int *dst, isl_int f, isl_int *src, unsigned len)
  41 {
  42         int i;
  43         for (i = 0; i < len; ++i)
  44                 isl_int_submul(dst[i], f, src[i]);
  45 }
  46
  47 void isl_seq_swp_or_cpy(isl_int *dst, isl_int *src, unsigned len)
  48 {
  49         int i;
  50         for (i = 0; i < len; ++i)
  51                 isl_int_swap_or_set(dst[i], src[i]);
  52 }
  53
  54 void isl_seq_scale(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_mul(dst[i], src[i], m);
  59 }
  60
  61 void isl_seq_scale_down(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_divexact(dst[i], src[i], m);
  66 }
  67
  68 void isl_seq_cdiv_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_cdiv_q(dst[i], src[i], m);
  73 }
  74
  75 void isl_seq_fdiv_q(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_q(dst[i], src[i], m);
  80 }
  81
  82 void isl_seq_fdiv_r(isl_int *dst, isl_int *src, isl_int m, unsigned len)
  83 {
  84         int i;
  85         for (i = 0; i < len; ++i)
  86                 isl_int_fdiv_r(dst[i], src[i], m);
  87 }
  88
  89 void isl_seq_combine(isl_int *dst, isl_int m1, isl_int *src1,
  90                         isl_int m2, isl_int *src2, unsigned len)
  91 {
  92         int i;
  93         isl_int tmp;
  94
  95         isl_int_init(tmp);
  96         for (i = 0; i < len; ++i) {
  97                 isl_int_mul(tmp, m1, src1[i]);
  98                 isl_int_addmul(tmp, m2, src2[i]);
  99                 isl_int_set(dst[i], tmp);
 100         }
 101         isl_int_clear(tmp);
 102 }
 103
 104 /*
 105  * Let d = dst[pos] and s = src[pos]
 106  * dst is replaced by |s| dst - sgn(s)d src
 107  */
 108 void isl_seq_elim(isl_int *dst, isl_int *src, unsigned pos, unsigned len,
 109                   isl_int *m)
 110 {
 111         isl_int a;
 112         isl_int b;
 113
 114         if (isl_int_is_zero(dst[pos]))
 115                 return;
 116
 117         isl_int_init(a);
 118         isl_int_init(b);
 119
 120         isl_int_gcd(a, src[pos], dst[pos]);
 121         isl_int_divexact(b, dst[pos], a);
 122         if (isl_int_is_pos(src[pos]))
 123                 isl_int_neg(b, b);
 124         isl_int_divexact(a, src[pos], a);
 125         isl_int_abs(a, a);
 126         isl_seq_combine(dst, a, dst, b, src, len);
 127
 128         if (m)
 129                 isl_int_mul(*m, *m, a);
 130
 131         isl_int_clear(a);
 132         isl_int_clear(b);
 133 }
 134
 135 int isl_seq_eq(isl_int *p1, isl_int *p2, unsigned len)
 136 {
 137         int i;
 138         for (i = 0; i < len; ++i)
 139                 if (isl_int_ne(p1[i], p2[i]))
 140                         return 0;
 141         return 1;
 142 }
 143
 144 int isl_seq_cmp(isl_int *p1, isl_int *p2, unsigned len)
 145 {
 146         int i;
 147         int cmp;
 148         for (i = 0; i < len; ++i)
 149                 if ((cmp = isl_int_cmp(p1[i], p2[i])) != 0)
 150                         return cmp;
 151         return 0;
 152 }
 153
 154 int isl_seq_is_neg(isl_int *p1, isl_int *p2, unsigned len)
 155 {
 156         int i;
 157
 158         for (i = 0; i < len; ++i) {
 159                 if (isl_int_abs_ne(p1[i], p2[i]))
 160                         return 0;
 161                 if (isl_int_is_zero(p1[i]))
 162                         continue;
 163                 if (isl_int_eq(p1[i], p2[i]))
 164                         return 0;
 165         }
 166         return 1;
 167 }
 168
 169 int isl_seq_first_non_zero(isl_int *p, unsigned len)
 170 {
 171         int i;
 172
 173         for (i = 0; i < len; ++i)
 174                 if (!isl_int_is_zero(p[i]))
 175                         return i;
 176         return -1;
 177 }
 178
 179 int isl_seq_last_non_zero(isl_int *p, unsigned len)
 180 {
 181         int i;
 182
 183         for (i = len - 1; i >= 0; --i)
 184                 if (!isl_int_is_zero(p[i]))
 185                         return i;
 186         return -1;
 187 }
 188
 189 int isl_seq_abs_min_non_zero(isl_int *p, unsigned len)
 190 {
 191         int i, min = isl_seq_first_non_zero(p, len);
 192         if (min < 0)
 193                 return -1;
 194         for (i = min + 1; i < len; ++i) {
 195                 if (isl_int_is_zero(p[i]))
 196                         continue;
 197                 if (isl_int_abs_lt(p[i], p[min]))
 198                         min = i;
 199         }
 200         return min;
 201 }
 202
 203 void isl_seq_gcd(isl_int *p, unsigned len, isl_int *gcd)
 204 {
 205         int i, min = isl_seq_abs_min_non_zero(p, len);
 206
 207         if (min < 0) {
 208                 isl_int_set_si(*gcd, 0);
 209                 return;
 210         }
 211         isl_int_abs(*gcd, p[min]);
 212         for (i = 0; isl_int_cmp_si(*gcd, 1) > 0 && i < len; ++i) {
 213                 if (i == min)
 214                         continue;
 215                 if (isl_int_is_zero(p[i]))
 216                         continue;
 217                 isl_int_gcd(*gcd, *gcd, p[i]);
 218         }
 219 }
 220
 221 void isl_seq_normalize(struct isl_ctx *ctx, isl_int *p, unsigned len)
 222 {
 223         if (len == 0)
 224                 return;
 225         isl_seq_gcd(p, len, &ctx->normalize_gcd);
 226         if (!isl_int_is_zero(ctx->normalize_gcd) &&
 227             !isl_int_is_one(ctx->normalize_gcd))
 228                 isl_seq_scale_down(p, p, ctx->normalize_gcd, len);
 229 }
 230
 231 void isl_seq_lcm(isl_int *p, unsigned len, isl_int *lcm)
 232 {
 233         int i;
 234
 235         if (len == 0) {
 236                 isl_int_set_si(*lcm, 1);
 237                 return;
 238         }
 239         isl_int_set(*lcm, p[0]);
 240         for (i = 1; i < len; ++i)
 241                 isl_int_lcm(*lcm, *lcm, p[i]);
 242 }
 243
 244 void isl_seq_inner_product(isl_int *p1, isl_int *p2, unsigned len,
 245                            isl_int *prod)
 246 {
 247         int i;
 248         if (len == 0) {
 249                 isl_int_set_si(*prod, 0);
 250                 return;
 251         }
 252         isl_int_mul(*prod, p1[0], p2[0]);
 253         for (i = 1; i < len; ++i)
 254                 isl_int_addmul(*prod, p1[i], p2[i]);
 255 }
 256
 257 uint32_t isl_seq_hash(isl_int *p, unsigned len, uint32_t hash)
 258 {
 259         int i;
 260         for (i = 0; i < len; ++i) {
 261                 if (isl_int_is_zero(p[i]))
 262                         continue;
 263                 hash *= 16777619;
 264                 hash ^= (i & 0xFF);
 265                 hash = isl_int_hash(p[i], hash);
 266         }
 267         return hash;
 268 }
 269
 270 uint32_t isl_seq_get_hash(isl_int *p, unsigned len)
 271 {
 272         uint32_t hash = isl_hash_init();
 273
 274         return isl_seq_hash(p, len, hash);
 275 }
 276
 277 uint32_t isl_seq_get_hash_bits(isl_int *p, unsigned len, unsigned bits)
 278 {
 279         uint32_t hash;
 280
 281         hash = isl_seq_get_hash(p, len);
 282         return isl_hash_bits(hash, bits);
 283 }