then it is assigned the local space that lies at the basis of
the lifting applied.
+ #include <isl/aff.h>
+ __isl_give isl_multi_aff *isl_multi_aff_pullback_multi_aff(
+ __isl_take isl_multi_aff *ma1,
+ __isl_take isl_multi_aff *ma2);
+
+The function C<isl_multi_aff_pullback_multi_aff> precomposes C<ma1> by C<ma2>.
+In other words, C<ma2> is plugged
+into C<ma1>.
+
__isl_give isl_set *isl_multi_aff_lex_le_set(
__isl_take isl_multi_aff *ma1,
__isl_take isl_multi_aff *ma2);
return NULL;
}
+/* Compute the pullback of "ma1" by the function represented by "ma2".
+ * In other words, plug in "ma2" in "ma1".
+ */
+__isl_give isl_multi_aff *isl_multi_aff_pullback_multi_aff(
+ __isl_take isl_multi_aff *ma1, __isl_take isl_multi_aff *ma2)
+{
+ int i;
+ isl_space *space = NULL;
+
+ ma2 = isl_multi_aff_align_divs(ma2);
+ ma1 = isl_multi_aff_cow(ma1);
+ if (!ma1 || !ma2)
+ goto error;
+
+ space = isl_space_join(isl_multi_aff_get_space(ma2),
+ isl_multi_aff_get_space(ma1));
+
+ for (i = 0; i < ma1->n; ++i) {
+ ma1->p[i] = isl_aff_pullback_multi_aff(ma1->p[i],
+ isl_multi_aff_copy(ma2));
+ if (!ma1->p[i])
+ goto error;
+ }
+
+ ma1 = isl_multi_aff_reset_space(ma1, space);
+ isl_multi_aff_free(ma2);
+ return ma1;
+error:
+ isl_space_free(space);
+ isl_multi_aff_free(ma2);
+ isl_multi_aff_free(ma1);
+ return NULL;
+}
+
/* Extend the local space of "dst" to include the divs
* in the local space of "src".
*/
}
struct {
+ const char *ma1;
+ const char *ma;
+ const char *res;
+} pullback_tests[] = {
+ { "{ B[i,j] -> C[i + 2j] }" , "{ A[a,b] -> B[b,a] }",
+ "{ A[a,b] -> C[b + 2a] }" },
+ { "{ B[i] -> C[2i] }", "{ A[a] -> B[(a)/2] }", "{ A[a] -> C[a] }" },
+ { "{ B[i] -> C[(i)/2] }", "{ A[a] -> B[2a] }", "{ A[a] -> C[a] }" },
+ { "{ B[i] -> C[(i)/2] }", "{ A[a] -> B[(a)/3] }",
+ "{ A[a] -> C[(a)/6] }" },
+ { "{ B[i] -> C[2i] }", "{ A[a] -> B[5a] }", "{ A[a] -> C[10a] }" },
+ { "{ B[i] -> C[2i] }", "{ A[a] -> B[(a)/3] }",
+ "{ A[a] -> C[(2a)/3] }" },
+ { "{ B[i,j] -> C[i + j] }", "{ A[a] -> B[a,a] }", "{ A[a] -> C[2a] }"},
+ { "{ B[a] -> C[a,a] }", "{ A[i,j] -> B[i + j] }",
+ "{ A[i,j] -> C[i + j, i + j] }"},
+ { "{ B[i] -> C[([i/2])] }", "{ B[5] }", "{ C[2] }" },
+ { "[n] -> { B[i,j] -> C[([i/2]) + 2j] }",
+ "[n] -> { B[n,[n/3]] }", "[n] -> { C[([n/2]) + 2*[n/3]] }", },
+};
+
+static int test_pullback(isl_ctx *ctx)
+{
+ int i;
+ isl_multi_aff *ma1, *ma2;
+ isl_multi_aff *ma;
+ int equal;
+
+ for (i = 0; i < ARRAY_SIZE(pullback_tests); ++i) {
+ ma1 = isl_multi_aff_read_from_str(ctx, pullback_tests[i].ma1);
+ ma = isl_multi_aff_read_from_str(ctx, pullback_tests[i].ma);
+ ma2 = isl_multi_aff_read_from_str(ctx, pullback_tests[i].res);
+ ma1 = isl_multi_aff_pullback_multi_aff(ma1, ma);
+ equal = isl_multi_aff_plain_is_equal(ma1, ma2);
+ isl_multi_aff_free(ma1);
+ isl_multi_aff_free(ma2);
+ if (equal < 0)
+ return -1;
+ if (!equal)
+ isl_die(ctx, isl_error_unknown, "bad pullback",
+ return -1);
+ }
+
+ return 0;
+}
+
+struct {
const char *name;
int (*fn)(isl_ctx *ctx);
} tests [] = {
{ "list", &test_list },
{ "align parameters", &test_align_parameters },
{ "preimage", &test_preimage },
+ { "pullback", &test_pullback },
{ "eliminate", &test_eliminate },
{ "reisdue class", &test_residue_class },
{ "div", &test_div },