aff.c

   1 /*
   2  * Copyright 2011      Leiden University. All rights reserved.
   3  * Copyright 2012-2014 Ecole Normale Superieure. All rights reserved.
   4  *
   5  * Redistribution and use in source and binary forms, with or without
   6  * modification, are permitted provided that the following conditions
   7  * are met:
   8  *
   9  *    1. Redistributions of source code must retain the above copyright
  10  *       notice, this list of conditions and the following disclaimer.
  11  *
  12  *    2. Redistributions in binary form must reproduce the above
  13  *       copyright notice, this list of conditions and the following
  14  *       disclaimer in the documentation and/or other materials provided
  15  *       with the distribution.
  16  *
  17  * THIS SOFTWARE IS PROVIDED BY LEIDEN UNIVERSITY ''AS IS'' AND ANY
  18  * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
  19  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
  20  * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL LEIDEN UNIVERSITY OR
  21  * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
  22  * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
  23  * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA,
  24  * OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
  25  * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
  26  * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
  27  * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
  28  *
  29  * The views and conclusions contained in the software and documentation
  30  * are those of the authors and should not be interpreted as
  31  * representing official policies, either expressed or implied, of
  32  * Leiden University.
  33  */
  34
  35 #include "aff.h"
  36
  37 /* If the isl_pw_aff on which isl_pw_aff_foreach_piece is called
  38  * has a constant expression on its only domain, then replace
  39  * the isl_val in *user by this constant.
  40  * The caller is assumed to have checked that this function will
  41  * be called exactly once.
  42  */
  43 static int extract_cst(__isl_take isl_set *set, __isl_take isl_aff *aff,
  44         void *user)
  45 {
  46         isl_val **inc = (isl_val **)user;
  47
  48         if (isl_aff_is_cst(aff)) {
  49                 isl_val_free(*inc);
  50                 *inc = isl_aff_get_constant_val(aff);
  51         }
  52
  53         isl_set_free(set);
  54         isl_aff_free(aff);
  55
  56         return 0;
  57 }
  58
  59 /* If "pa" represents a constant value over a single domain,
  60  * then return this constant.
  61  * Otherwise return NaN.
  62  */
  63 __isl_give isl_val *pet_extract_cst(__isl_keep isl_pw_aff *pa)
  64 {
  65         isl_val *v;
  66
  67         if (!pa)
  68                 return NULL;
  69         v = isl_val_nan(isl_pw_aff_get_ctx(pa));
  70         if (isl_pw_aff_n_piece(pa) != 1)
  71                 return v;
  72         if (isl_pw_aff_foreach_piece(pa, &extract_cst, &v) < 0)
  73                 v = isl_val_free(v);
  74         return v;
  75 }
  76
  77 /* Return the piecewise affine expression "set ? 1 : 0" defined on "dom".
  78  */
  79 static __isl_give isl_pw_aff *indicator_function(__isl_take isl_set *set,
  80         __isl_take isl_set *dom)
  81 {
  82         isl_pw_aff *pa;
  83         pa = isl_set_indicator_function(set);
  84         pa = isl_pw_aff_intersect_domain(pa, isl_set_coalesce(dom));
  85         return pa;
  86 }
  87
  88 /* Return "lhs && rhs", defined on the shared definition domain.
  89  */
  90 __isl_give isl_pw_aff *pet_and(__isl_take isl_pw_aff *lhs,
  91         __isl_take isl_pw_aff *rhs)
  92 {
  93         isl_set *cond;
  94         isl_set *dom;
  95
  96         dom = isl_set_intersect(isl_pw_aff_domain(isl_pw_aff_copy(lhs)),
  97                                  isl_pw_aff_domain(isl_pw_aff_copy(rhs)));
  98         cond = isl_set_intersect(isl_pw_aff_non_zero_set(lhs),
  99                                  isl_pw_aff_non_zero_set(rhs));
 100         return indicator_function(cond, dom);
 101 }
 102
 103 /* Return "!pa", defined on the domain of "pa".
 104  *
 105  * If "pa" involves any NaN, then return NaN.
 106  */
 107 __isl_give isl_pw_aff *pet_not(__isl_take isl_pw_aff *pa)
 108 {
 109         isl_set *cond, *dom;
 110
 111         if (!pa)
 112                 return NULL;
 113         if (isl_pw_aff_involves_nan(pa)) {
 114                 isl_space *space = isl_pw_aff_get_domain_space(pa);
 115                 isl_local_space *ls = isl_local_space_from_space(space);
 116                 isl_pw_aff_free(pa);
 117                 return isl_pw_aff_nan_on_domain(ls);
 118         }
 119
 120         dom = isl_pw_aff_domain(isl_pw_aff_copy(pa));
 121         cond = isl_pw_aff_zero_set(pa);
 122         pa = indicator_function(cond, dom);
 123
 124         return pa;
 125 }
 126
 127 /* Return "!!pa", i.e., a function that is equal to 1 when "pa"
 128  * is non-zero and equal to 0 when "pa" is equal to zero,
 129  * on the domain of "pa".
 130  *
 131  * If "pa" involves any NaN, then return NaN.
 132  */
 133 __isl_give isl_pw_aff *pet_to_bool(__isl_take isl_pw_aff *pa)
 134 {
 135         isl_set *cond, *dom;
 136
 137         if (!pa)
 138                 return NULL;
 139         if (isl_pw_aff_involves_nan(pa)) {
 140                 isl_space *space = isl_pw_aff_get_domain_space(pa);
 141                 isl_local_space *ls = isl_local_space_from_space(space);
 142                 isl_pw_aff_free(pa);
 143                 return isl_pw_aff_nan_on_domain(ls);
 144         }
 145
 146         dom = isl_pw_aff_domain(isl_pw_aff_copy(pa));
 147         cond = isl_pw_aff_non_zero_set(pa);
 148         pa = indicator_function(cond, dom);
 149
 150         return pa;
 151 }
 152
 153 /* Return the result of applying the comparison operator "type"
 154  * to "pa1" and "pa2".
 155  *
 156  * In particular, construct an isl_pw_aff that is equal to 1
 157  * on the subset of the shared domain of "pa1" and "pa2" where
 158  * the comparison holds and 0 on the other part of the shared domain.
 159  *
 160  * If "pa1" or "pa2" involve any NaN, then return NaN.
 161  */
 162 __isl_give isl_pw_aff *pet_comparison(enum pet_op_type type,
 163         __isl_take isl_pw_aff *pa1, __isl_take isl_pw_aff *pa2)
 164 {
 165         isl_set *dom;
 166         isl_set *cond;
 167         isl_pw_aff *res;
 168
 169         if (!pa1 || !pa2)
 170                 goto error;
 171         if (isl_pw_aff_involves_nan(pa1) || isl_pw_aff_involves_nan(pa2)) {
 172                 isl_space *space = isl_pw_aff_get_domain_space(pa1);
 173                 isl_local_space *ls = isl_local_space_from_space(space);
 174                 isl_pw_aff_free(pa1);
 175                 isl_pw_aff_free(pa2);
 176                 return isl_pw_aff_nan_on_domain(ls);
 177         }
 178
 179         dom = isl_pw_aff_domain(isl_pw_aff_copy(pa1));
 180         dom = isl_set_intersect(dom, isl_pw_aff_domain(isl_pw_aff_copy(pa2)));
 181
 182         switch (type) {
 183         case pet_op_lt:
 184                 cond = isl_pw_aff_lt_set(pa1, pa2);
 185                 break;
 186         case pet_op_le:
 187                 cond = isl_pw_aff_le_set(pa1, pa2);
 188                 break;
 189         case pet_op_gt:
 190                 cond = isl_pw_aff_gt_set(pa1, pa2);
 191                 break;
 192         case pet_op_ge:
 193                 cond = isl_pw_aff_ge_set(pa1, pa2);
 194                 break;
 195         case pet_op_eq:
 196                 cond = isl_pw_aff_eq_set(pa1, pa2);
 197                 break;
 198         case pet_op_ne:
 199                 cond = isl_pw_aff_ne_set(pa1, pa2);
 200                 break;
 201         default:
 202                 isl_die(isl_pw_aff_get_ctx(pa1), isl_error_internal,
 203                         "not a comparison operator", cond = NULL);
 204                 isl_pw_aff_free(pa1);
 205                 isl_pw_aff_free(pa2);
 206         }
 207
 208         cond = isl_set_coalesce(cond);
 209         res = indicator_function(cond, dom);
 210
 211         return res;
 212 error:
 213         isl_pw_aff_free(pa1);
 214         isl_pw_aff_free(pa2);
 215         return NULL;
 216 }
 217
 218 /* Return "lhs && rhs", with shortcut semantics.
 219  * That is, if lhs is false, then the result is defined even if rhs is not.
 220  * In practice, we compute lhs ? rhs : lhs.
 221  */
 222 static __isl_give isl_pw_aff *pw_aff_and_then(__isl_take isl_pw_aff *lhs,
 223         __isl_take isl_pw_aff *rhs)
 224 {
 225         return isl_pw_aff_cond(isl_pw_aff_copy(lhs), rhs, lhs);
 226 }
 227
 228 /* Return "lhs || rhs", with shortcut semantics.
 229  * That is, if lhs is true, then the result is defined even if rhs is not.
 230  * In practice, we compute lhs ? lhs : rhs.
 231  */
 232 static __isl_give isl_pw_aff *pw_aff_or_else(__isl_take isl_pw_aff *lhs,
 233         __isl_take isl_pw_aff *rhs)
 234 {
 235         return isl_pw_aff_cond(isl_pw_aff_copy(lhs), lhs, rhs);
 236 }
 237
 238 /* Return the result of applying the boolean operator "type"
 239  * to "pa1" and "pa2".
 240  */
 241 __isl_give isl_pw_aff *pet_boolean(enum pet_op_type type,
 242         __isl_take isl_pw_aff *pa1, __isl_take isl_pw_aff *pa2)
 243 {
 244         isl_ctx *ctx;
 245
 246         switch (type) {
 247         case pet_op_land:
 248                 return pw_aff_and_then(pa1, pa2);
 249         case pet_op_lor:
 250                 return pw_aff_or_else(pa1, pa2);
 251         default:
 252                 ctx = isl_pw_aff_get_ctx(pa1);
 253                 isl_pw_aff_free(pa1);
 254                 isl_pw_aff_free(pa2);
 255                 isl_die(ctx, isl_error_internal,
 256                         "not a boolean operator", return NULL);
 257         }
 258 }