isl_test2.cc

   1 /*
   2  * Copyright 2008-2009 Katholieke Universiteit Leuven
   3  * Copyright 2010      INRIA Saclay
   4  * Copyright 2012-2013 Ecole Normale Superieure
   5  * Copyright 2014      INRIA Rocquencourt
   6  * Copyright 2021-2022 Cerebras Systems
   7  *
   8  * Use of this software is governed by the MIT license
   9  *
  10  * Written by Sven Verdoolaege, K.U.Leuven, Departement
  11  * Computerwetenschappen, Celestijnenlaan 200A, B-3001 Leuven, Belgium
  12  * and INRIA Saclay - Ile-de-France, Parc Club Orsay Universite,
  13  * ZAC des vignes, 4 rue Jacques Monod, 91893 Orsay, France
  14  * and Ecole Normale Superieure, 45 rue d'Ulm, 75230 Paris, France
  15  * and Inria Paris - Rocquencourt, Domaine de Voluceau - Rocquencourt,
  16  * B.P. 105 - 78153 Le Chesnay, France
  17  * and Cerebras Systems, 1237 E Arques Ave, Sunnyvale, CA, USA
  18  */
  19
  20 #include <assert.h>
  21 #include <stdlib.h>
  22
  23 #include <functional>
  24 #include <iostream>
  25 #include <sstream>
  26 #include <string>
  27 #include <type_traits>
  28 #include <utility>
  29 #include <vector>
  30
  31 #include <isl/cpp.h>
  32
  33 /* A binary isl function that appears in the C++ bindings
  34  * as a unary method in a class T, taking an extra argument
  35  * of type A1 and returning an object of type R.
  36  */
  37 template <typename A1, typename R, typename T>
  38 using binary_fn = R (T::*)(A1) const;
  39
  40 /* A function for selecting an overload of a pointer to a unary C++ method
  41  * based on the single argument type.
  42  * The object type and the return type are meant to be deduced.
  43  */
  44 template <typename A1, typename R, typename T>
  45 static binary_fn<A1, R, T> const arg(const binary_fn<A1, R, T> &fn)
  46 {
  47         return fn;
  48 }
  49
  50 /* A ternary isl function that appears in the C++ bindings
  51  * as a binary method in a class T, taking extra arguments
  52  * of type A1 and A2 and returning an object of type R.
  53  */
  54 template <typename A1, typename A2, typename R, typename T>
  55 using ternary_fn = R (T::*)(A1, A2) const;
  56
  57 /* A function for selecting an overload of a pointer to a binary C++ method
  58  * based on the (first) argument type(s).
  59  * The object type and the return type are meant to be deduced.
  60  */
  61 template <typename A1, typename A2, typename R, typename T>
  62 static ternary_fn<A1, A2, R, T> const arg(const ternary_fn<A1, A2, R, T> &fn)
  63 {
  64         return fn;
  65 }
  66
  67 /* A description of the input and the output of a unary operation.
  68  */
  69 struct unary {
  70         const char *arg;
  71         const char *res;
  72 };
  73
  74 /* A description of the inputs and the output of a binary operation.
  75  */
  76 struct binary {
  77         const char *arg1;
  78         const char *arg2;
  79         const char *res;
  80 };
  81
  82 /* A description of the inputs and the output of a ternary operation.
  83  */
  84 struct ternary {
  85         const char *arg1;
  86         const char *arg2;
  87         const char *arg3;
  88         const char *res;
  89 };
  90
  91 /* A template function for checking whether two objects
  92  * of the same (isl) type are (obviously) equal.
  93  * The spelling depends on the isl type and
  94  * in particular on whether an equality method is available or
  95  * whether only obvious equality can be tested.
  96  */
  97 template <typename T, typename std::decay<decltype(
  98         std::declval<T>().is_equal(std::declval<T>()))>::type = true>
  99 static bool is_equal(const T &a, const T &b)
 100 {
 101         return a.is_equal(b);
 102 }
 103 template <typename T, typename std::decay<decltype(
 104         std::declval<T>().plain_is_equal(std::declval<T>()))>::type = true>
 105 static bool is_equal(const T &a, const T &b)
 106 {
 107         return a.plain_is_equal(b);
 108 }
 109
 110 /* A helper macro for throwing an isl::exception_invalid with message "msg".
 111  */
 112 #define THROW_INVALID(msg) \
 113         isl::exception::throw_error(isl_error_invalid, msg, __FILE__, __LINE__)
 114
 115 /* Run a sequence of tests of method "fn" with stringification "name" and
 116  * with input and output described by "test",
 117  * throwing an exception when an unexpected result is produced.
 118  */
 119 template <typename R, typename T>
 120 static void test(isl::ctx ctx, R (T::*fn)() const, const std::string &name,
 121         const std::vector<unary> &tests)
 122 {
 123         for (const auto &test : tests) {
 124                 T obj(ctx, test.arg);
 125                 R expected(ctx, test.res);
 126                 const auto &res = (obj.*fn)();
 127                 std::ostringstream ss;
 128
 129                 if (is_equal(expected, res))
 130                         continue;
 131
 132                 ss << name << "(" << test.arg << ") =\n"
 133                    << res << "\n"
 134                    << "expecting:\n"
 135                    << expected;
 136                 THROW_INVALID(ss.str().c_str());
 137         }
 138 }
 139
 140 /* Run a sequence of tests of method "fn" with stringification "name" and
 141  * with inputs and output described by "test",
 142  * throwing an exception when an unexpected result is produced.
 143  */
 144 template <typename R, typename T, typename A1>
 145 static void test(isl::ctx ctx, R (T::*fn)(A1) const, const std::string &name,
 146         const std::vector<binary> &tests)
 147 {
 148         for (const auto &test : tests) {
 149                 T obj(ctx, test.arg1);
 150                 A1 arg1(ctx, test.arg2);
 151                 R expected(ctx, test.res);
 152                 const auto &res = (obj.*fn)(arg1);
 153                 std::ostringstream ss;
 154
 155                 if (is_equal(expected, res))
 156                         continue;
 157
 158                 ss << name << "(" << test.arg1 << ", " << test.arg2 << ") =\n"
 159                    << res << "\n"
 160                    << "expecting:\n"
 161                    << expected;
 162                 THROW_INVALID(ss.str().c_str());
 163         }
 164 }
 165
 166 /* Run a sequence of tests of method "fn" with stringification "name" and
 167  * with inputs and output described by "test",
 168  * throwing an exception when an unexpected result is produced.
 169  */
 170 template <typename R, typename T, typename A1, typename A2>
 171 static void test(isl::ctx ctx, R (T::*fn)(A1, A2) const,
 172         const std::string &name, const std::vector<ternary> &tests)
 173 {
 174         for (const auto &test : tests) {
 175                 T obj(ctx, test.arg1);
 176                 A1 arg1(ctx, test.arg2);
 177                 A2 arg2(ctx, test.arg3);
 178                 R expected(ctx, test.res);
 179                 const auto &res = (obj.*fn)(arg1, arg2);
 180                 std::ostringstream ss;
 181
 182                 if (is_equal(expected, res))
 183                         continue;
 184
 185                 ss << name << "(" << test.arg1 << ", " << test.arg2 << ", "
 186                    << test.arg3 << ") =\n"
 187                    << res << "\n"
 188                    << "expecting:\n"
 189                    << expected;
 190                 THROW_INVALID(ss.str().c_str());
 191         }
 192 }
 193
 194 /* A helper macro that calls test with as implicit initial argument "ctx" and
 195  * as extra argument a stringification of "FN".
 196  */
 197 #define C(FN, ...) test(ctx, FN, #FN, __VA_ARGS__)
 198
 199 /* Perform some basic isl::space tests.
 200  */
 201 static void test_space(isl::ctx ctx)
 202 {
 203         C(&isl::space::domain, {
 204         { "{ A[] -> B[] }", "{ A[] }" },
 205         { "{ A[C[] -> D[]] -> B[E[] -> F[]] }", "{ A[C[] -> D[]] }" },
 206         });
 207
 208         C(&isl::space::range, {
 209         { "{ A[] -> B[] }", "{ B[] }" },
 210         { "{ A[C[] -> D[]] -> B[E[] -> F[]] }", "{ B[E[] -> F[]] }" },
 211         });
 212
 213         C(&isl::space::params, {
 214         { "{ A[] -> B[] }", "{ : }" },
 215         { "{ A[C[] -> D[]] -> B[E[] -> F[]] }", "{ : }" },
 216         });
 217 }
 218
 219 /* Perform some basic conversion tests.
 220  */
 221 static void test_conversion(isl::ctx ctx)
 222 {
 223         C(&isl::multi_pw_aff::as_set, {
 224         { "[n] -> { [] : n >= 0 } ",
 225           "[n] -> { [] : n >= 0 } " },
 226         });
 227 }
 228
 229 /* Perform some basic preimage tests.
 230  */
 231 static void test_preimage(isl::ctx ctx)
 232 {
 233         C(arg<isl::multi_aff>(&isl::set::preimage), {
 234         { "{ B[i,j] : 0 <= i < 10 and 0 <= j < 100 }",
 235           "{ A[j,i] -> B[i,j] }",
 236           "{ A[j,i] : 0 <= i < 10 and 0 <= j < 100 }" },
 237         { "{ rat: B[i,j] : 0 <= i, j and 3 i + 5 j <= 100 }",
 238           "{ A[a,b] -> B[a/2,b/6] }",
 239           "{ rat: A[a,b] : 0 <= a, b and 9 a + 5 b <= 600 }" },
 240         { "{ B[i,j] : 0 <= i, j and 3 i + 5 j <= 100 }",
 241           "{ A[a,b] -> B[a/2,b/6] }",
 242           "{ A[a,b] : 0 <= a, b and 9 a + 5 b <= 600 and "
 243                     "exists i,j : a = 2 i and b = 6 j }" },
 244         { "[n] -> { S[i] : 0 <= i <= 100 }", "[n] -> { S[n] }",
 245           "[n] -> { : 0 <= n <= 100 }" },
 246         { "{ B[i] : 0 <= i < 100 and exists a : i = 4 a }",
 247           "{ A[a] -> B[2a] }",
 248           "{ A[a] : 0 <= a < 50 and exists b : a = 2 b }" },
 249         { "{ B[i] : 0 <= i < 100 and exists a : i = 4 a }",
 250           "{ A[a] -> B[([a/2])] }",
 251           "{ A[a] : 0 <= a < 200 and exists b : [a/2] = 4 b }" },
 252         { "{ B[i,j,k] : 0 <= i,j,k <= 100 }",
 253           "{ A[a] -> B[a,a,a/3] }",
 254           "{ A[a] : 0 <= a <= 100 and exists b : a = 3 b }" },
 255         { "{ B[i,j] : j = [(i)/2] } ", "{ A[i,j] -> B[i/3,j] }",
 256           "{ A[i,j] : j = [(i)/6] and exists a : i = 3 a }" },
 257         });
 258
 259         C(arg<isl::multi_aff>(&isl::union_map::preimage_domain), {
 260         { "{ B[i,j] -> C[2i + 3j] : 0 <= i < 10 and 0 <= j < 100 }",
 261           "{ A[j,i] -> B[i,j] }",
 262           "{ A[j,i] -> C[2i + 3j] : 0 <= i < 10 and 0 <= j < 100 }" },
 263         { "{ B[i] -> C[i]; D[i] -> E[i] }",
 264           "{ A[i] -> B[i + 1] }",
 265           "{ A[i] -> C[i + 1] }" },
 266         { "{ B[i] -> C[i]; B[i] -> E[i] }",
 267           "{ A[i] -> B[i + 1] }",
 268           "{ A[i] -> C[i + 1]; A[i] -> E[i + 1] }" },
 269         { "{ B[i] -> C[([i/2])] }",
 270           "{ A[i] -> B[2i] }",
 271           "{ A[i] -> C[i] }" },
 272         { "{ B[i,j] -> C[([i/2]), ([(i+j)/3])] }",
 273           "{ A[i] -> B[([i/5]), ([i/7])] }",
 274           "{ A[i] -> C[([([i/5])/2]), ([(([i/5])+([i/7]))/3])] }" },
 275         { "[N] -> { B[i] -> C[([N/2]), i, ([N/3])] }",
 276           "[N] -> { A[] -> B[([N/5])] }",
 277           "[N] -> { A[] -> C[([N/2]), ([N/5]), ([N/3])] }" },
 278         { "{ B[i] -> C[i] : exists a : i = 5 a }",
 279           "{ A[i] -> B[2i] }",
 280           "{ A[i] -> C[2i] : exists a : 2i = 5 a }" },
 281         { "{ B[i] -> C[i] : exists a : i = 2 a; "
 282             "B[i] -> D[i] : exists a : i = 2 a + 1 }",
 283           "{ A[i] -> B[2i] }",
 284           "{ A[i] -> C[2i] }" },
 285         { "{ A[i] -> B[i] }", "{ C[i] -> A[(i + floor(i/3))/2] }",
 286           "{ C[i] -> B[j] : 2j = i + floor(i/3) }" },
 287         });
 288
 289         C(arg<isl::multi_aff>(&isl::union_map::preimage_range), {
 290         { "[M] -> { A[a] -> B[a] }", "[M] -> { C[] -> B[floor(M/2)] }",
 291           "[M] -> { A[floor(M/2)] -> C[] }" },
 292         });
 293 }
 294
 295 /* Perform some basic fixed power tests.
 296  */
 297 static void test_fixed_power(isl::ctx ctx)
 298 {
 299         C(arg<isl::val>(&isl::map::fixed_power), {
 300         { "{ [i] -> [i + 1] }", "23",
 301           "{ [i] -> [i + 23] }" },
 302         { "{ [a = 0:1, b = 0:15, c = 0:1, d = 0:1, 0] -> [a, b, c, d, 1]; "
 303             "[a = 0:1, b = 0:15, c = 0:1, 0, 1] -> [a, b, c, 1, 0];  "
 304             "[a = 0:1, b = 0:15, 0, 1, 1] -> [a, b, 1, 0, 0];  "
 305             "[a = 0:1, b = 0:14, 1, 1, 1] -> [a, 1 + b, 0, 0, 0];  "
 306             "[0, 15, 1, 1, 1] -> [1, 0, 0, 0, 0] }",
 307           "128",
 308           "{ [0, b = 0:15, c = 0:1, d = 0:1, e = 0:1] -> [1, b, c, d, e] }" },
 309         });
 310 }
 311
 312 /* Perform some basic intersection tests.
 313  */
 314 static void test_intersect(isl::ctx ctx)
 315 {
 316         C(&isl::union_map::intersect_domain_wrapped_domain, {
 317         { "{ [A[x] -> B[y]] -> C[z]; [D[x] -> A[y]] -> E[z] }",
 318           "{ A[0] }",
 319           "{ [A[0] -> B[y]] -> C[z] }" },
 320         { "{ C[z] -> [A[x] -> B[y]]; E[z] -> [D[x] -> A[y]] }",
 321           "{ A[0] }",
 322           "{ }" },
 323         });
 324
 325         C(&isl::union_map::intersect_range_wrapped_domain, {
 326         { "{ [A[x] -> B[y]] -> C[z]; [D[x] -> A[y]] -> E[z] }",
 327           "{ A[0] }",
 328           "{ }" },
 329         { "{ C[z] -> [A[x] -> B[y]]; E[z] -> [D[x] -> A[y]] }",
 330           "{ A[0] }",
 331           "{ C[z] -> [A[0] -> B[y]] }" },
 332         });
 333 }
 334
 335 /* Perform some basic gist tests.
 336  */
 337 static void test_gist(isl::ctx ctx)
 338 {
 339         C(&isl::pw_aff::gist_params, {
 340         { "[N] -> { D[x] -> [x] : N >= 0; D[x] -> [0] : N < 0 }",
 341           "[N] -> { : N >= 0 }",
 342           "[N] -> { D[x] -> [x] }" },
 343         });
 344
 345         C(arg<isl::set>(&isl::multi_aff::gist), {
 346         { "{ A[i] -> B[i, i] }", "{ A[0] }",
 347           "{ A[i] -> B[0, 0] }" },
 348         { "[N] -> { A[i] -> B[i, N] }", "[N] -> { A[0] : N = 5 }",
 349           "[N] -> { A[i] -> B[0, 5] }" },
 350         { "[N] -> { B[N + 1, N] }", "[N] -> { : N = 5 }",
 351           "[N] -> { B[6, 5] }" },
 352         { "[N] -> { A[i] -> B[] }", "[N] -> { A[0] : N = 5 }",
 353           "[N] -> { A[i] -> B[] }" },
 354         { "[N] -> { B[] }", "[N] -> { : N = 5 }",
 355           "[N] -> { B[] }" },
 356         });
 357
 358         C(&isl::multi_aff::gist_params, {
 359         { "[N] -> { A[i] -> B[i, N] }", "[N] -> { : N = 5 }",
 360           "[N] -> { A[i] -> B[i, 5] }" },
 361         { "[N] -> { B[N + 1, N] }", "[N] -> { : N = 5 }",
 362           "[N] -> { B[6, 5] }" },
 363         { "[N] -> { A[i] -> B[] }", "[N] -> { : N = 5 }",
 364           "[N] -> { A[i] -> B[] }" },
 365         { "[N] -> { B[] }", "[N] -> { : N = 5 }",
 366           "[N] -> { B[] }" },
 367         });
 368
 369         C(arg<isl::set>(&isl::multi_pw_aff::gist), {
 370         { "{ A[i] -> B[i, i] : i >= 0 }", "{ A[0] }",
 371           "{ A[i] -> B[0, 0] }" },
 372         { "[N] -> { A[i] -> B[i, N] : N >= 0 }", "[N] -> { A[0] : N = 5 }",
 373           "[N] -> { A[i] -> B[0, 5] }" },
 374         { "[N] -> { B[N + 1, N] }", "[N] -> { : N = 5 }",
 375           "[N] -> { B[6, 5] }" },
 376         { "[N] -> { A[i] -> B[] }", "[N] -> { A[0] : N = 5 }",
 377           "[N] -> { A[i] -> B[] }" },
 378         { "[N] -> { B[] }", "[N] -> { : N = 5 }",
 379           "[N] -> { B[] }" },
 380         { "{ A[i=0:10] -> B[i] }", "{ A[5] }",
 381           "{ A[i] -> B[5] }" },
 382         { "{ A[0:10] -> B[] }", "{ A[0:10] }",
 383           "{ A[i] -> B[] }" },
 384         { "[N] -> { A[i] -> B[] : N >= 0 }", "[N] -> { A[0] : N = 5 }",
 385           "[N] -> { A[i] -> B[] }" },
 386         { "[N] -> { B[] : N >= 0 }", "[N] -> { : N = 5 }",
 387           "[N] -> { B[] }" },
 388         { "[N] -> { B[] : N = 5 }", "[N] -> { : N >= 0 }",
 389           "[N] -> { B[] : N = 5 }" },
 390         });
 391
 392         C(&isl::multi_pw_aff::gist_params, {
 393         { "[N] -> { A[i] -> B[i, N] : N >= 0 }", "[N] -> { : N = 5 }",
 394           "[N] -> { A[i] -> B[i, 5] }" },
 395         { "[N] -> { B[N + 1, N] }", "[N] -> { : N = 5 }",
 396           "[N] -> { B[6, 5] }" },
 397         { "[N] -> { A[i] -> B[] : N >= 0 }", "[N] -> { : N = 5 }",
 398           "[N] -> { A[i] -> B[] }" },
 399         { "[N] -> { B[] : N >= 0 }", "[N] -> { : N = 5 }",
 400           "[N] -> { B[] }" },
 401         { "[N] -> { B[] : N >= 5 }", "[N] -> { : N >= 0 }",
 402           "[N] -> { B[] : N >= 5 }" },
 403         });
 404
 405         C(&isl::multi_union_pw_aff::gist, {
 406         { "C[{ B[i,i] -> [3i] }]", "{ B[i,i] }",
 407           "C[{ B[i,j] -> [3i] }]" },
 408         { "(C[] : { B[i,i] })", "{ B[i,i] }",
 409           "(C[] : { B[i,j] })" },
 410         { "[N] -> (C[] : { B[N,N] })", "[N] -> { B[N,N] }",
 411           "[N] -> (C[] : { B[i,j] })" },
 412         { "C[]", "{ B[i,i] }",
 413           "C[]" },
 414         { "[N] -> (C[] : { B[i,i] : N >= 0 })", "{ B[i,i] }",
 415           "[N] -> (C[] : { B[i,j] : N >= 0 })" },
 416         { "[N] -> (C[] : { : N >= 0 })", "{ B[i,i] }",
 417           "[N] -> (C[] : { : N >= 0 })" },
 418         { "[N] -> (C[] : { : N >= 0 })", "[N] -> { B[i,i] : N >= 0 }",
 419           "[N] -> C[]" },
 420         });
 421
 422         C(&isl::multi_union_pw_aff::gist_params, {
 423         { "[N] -> C[{ B[i,i] -> [3i + N] }]", "[N] -> { : N = 1 }",
 424           "[N] -> C[{ B[i,i] -> [3i + 1] }]" },
 425         { "C[{ B[i,i] -> [3i] }]", "[N] -> { : N >= 0 }",
 426           "[N] -> C[{ B[i,i] -> [3i] }]" },
 427         { "[N] -> C[{ B[i,i] -> [3i] : N >= 0 }]", "[N] -> { : N >= 0 }",
 428           "[N] -> C[{ B[i,i] -> [3i] }]" },
 429         { "[N] -> C[{ B[i,i] -> [3i] : N >= 1 }]", "[N] -> { : N >= 0 }",
 430           "[N] -> C[{ B[i,i] -> [3i] : N >= 1 }]" },
 431         { "[N] -> (C[] : { B[i,i] : N >= 0 })", "[N] -> { : N >= 0 }",
 432           "[N] -> (C[] : { B[i,i] })" },
 433         { "[N] -> (C[] : { : N >= 0 })", "[N] -> { : N >= 0 }",
 434           "[N] -> C[]" },
 435         { "C[{ B[i,i] -> [3i] }]", "[N] -> { : N >= 0 }",
 436           "[N] -> C[{ B[i,i] -> [3i] }]" },
 437         });
 438 }
 439
 440 /* Perform tests that project out parameters.
 441  */
 442 static void test_project(isl::ctx ctx)
 443 {
 444         C(arg<isl::id>(&isl::union_map::project_out_param), {
 445         { "[N] -> { D[i] -> A[0:N-1]; D[i] -> B[i] }", "N",
 446           "{ D[i] -> A[0:]; D[i] -> B[i] }" },
 447         { "[N] -> { D[i] -> A[0:N-1]; D[i] -> B[i] }", "M",
 448           "[N] -> { D[i] -> A[0:N-1]; D[i] -> B[i] }" },
 449         });
 450
 451         C(arg<isl::id_list>(&isl::union_map::project_out_param), {
 452         { "[M, N, O] -> { D[i] -> A[j] : i <= j < M, N, O }", "(M, N)",
 453           "[O] -> { D[i] -> A[j] : i <= j < O }" },
 454         });
 455 }
 456
 457 /* Perform some basic reverse tests.
 458  */
 459 static void test_reverse(isl::ctx ctx)
 460 {
 461         C(&isl::aff::domain_reverse, {
 462         { "{ T[A[] -> B[*]] -> [0] }",
 463           "{ [B[*] -> A[]] -> [0] }" },
 464         { "{ T[A[] -> A[]] -> [0] }",
 465           "{ T[A[] -> A[]] -> [0] }" },
 466         { "{ [A[x] -> B[y]] -> [5*(x // 2) + 7*(y // 3)] }",
 467           "{ [B[y] -> A[x]] -> [5*(x // 2) + 7*(y // 3)] }" },
 468         });
 469
 470         C(&isl::multi_aff::domain_reverse, {
 471         { "{ [A[x] -> B[y]] -> [5*(x // 2) + 7*(y // 3)] }",
 472           "{ [B[y] -> A[x]] -> [5*(x // 2) + 7*(y // 3)] }" },
 473         { "{ [A[x] -> B[y]] -> T[5*(x // 2) + 7*(y // 3), 0] }",
 474           "{ [B[y] -> A[x]] -> T[5*(x // 2) + 7*(y // 3), 0] }" },
 475         });
 476
 477         C(&isl::set::wrapped_reverse, {
 478         { "{ T[A[] -> B[*]] }",
 479           "{ [B[*] -> A[]] }" },
 480         { "{ T[A[] -> A[]] }",
 481           "{ T[A[] -> A[]] }" },
 482         { "{ [A[x] -> B[2x]] }",
 483           "{ [B[y] -> A[x]] : y = 2x }" },
 484         });
 485
 486         C(&isl::pw_aff::domain_reverse, {
 487         { "{ [A[x] -> B[y]] -> [5*(x // 2) + 7*(y // 3)] }",
 488           "{ [B[y] -> A[x]] -> [5*(x // 2) + 7*(y // 3)] }" },
 489         { "{ [A[x] -> B[y]] -> [5*(x // 2) + 7*(y // 3)] : x > y }",
 490           "{ [B[y] -> A[x]] -> [5*(x // 2) + 7*(y // 3)] : x > y }" },
 491         { "{ [A[i] -> B[i + 1]] -> [i + 2] }",
 492           "{ [B[i] -> A[i - 1]] -> [i + 1] }" },
 493         });
 494
 495         C(&isl::pw_multi_aff::domain_reverse, {
 496         { "{ [A[x] -> B[y]] -> T[5*(x // 2) + 7*(y // 3), 0] : x > y }",
 497           "{ [B[y] -> A[x]] -> T[5*(x // 2) + 7*(y // 3), 0] : x > y }" },
 498         { "{ [A[i] -> B[i + 1]] -> T[0, i + 2] }",
 499           "{ [B[i] -> A[i - 1]] -> T[0, i + 1] }" },
 500         });
 501
 502         C(&isl::multi_pw_aff::domain_reverse, {
 503         { "{ [A[x] -> B[y]] -> T[5*(x // 2) + 7*(y // 3) : x > y, 0] }",
 504           "{ [B[y] -> A[x]] -> T[5*(x // 2) + 7*(y // 3) : x > y, 0] }" },
 505         });
 506
 507         C(&isl::map::domain_reverse, {
 508         { "{ [A[] -> B[]] -> [C[] -> D[]] }",
 509           "{ [B[] -> A[]] -> [C[] -> D[]] }" },
 510         { "{ N[B[] -> C[]] -> A[] }",
 511           "{ [C[] -> B[]] -> A[] }" },
 512         { "{ N[B[x] -> B[y]] -> A[] }",
 513           "{ N[B[*] -> B[*]] -> A[] }" },
 514         });
 515
 516         C(&isl::union_map::domain_reverse, {
 517         { "{ [A[] -> B[]] -> [C[] -> D[]] }",
 518           "{ [B[] -> A[]] -> [C[] -> D[]] }" },
 519         { "{ A[] -> [B[] -> C[]]; A[] -> B[]; A[0] -> N[B[1] -> B[2]] }",
 520           "{ }" },
 521         { "{ N[B[] -> C[]] -> A[] }",
 522           "{ [C[] -> B[]] -> A[] }" },
 523         { "{ N[B[x] -> B[y]] -> A[] }",
 524           "{ N[B[*] -> B[*]] -> A[] }" },
 525         });
 526
 527         C(&isl::union_map::range_reverse, {
 528         { "{ A[] -> [B[] -> C[]]; A[] -> B[]; A[0] -> N[B[1] -> B[2]] }",
 529           "{ A[] -> [C[] -> B[]]; A[0] -> N[B[2] -> B[1]] }" },
 530         { "{ A[] -> N[B[] -> C[]] }",
 531           "{ A[] -> [C[] -> B[]] }" },
 532         { "{ A[] -> N[B[x] -> B[y]] }",
 533           "{ A[] -> N[B[*] -> B[*]] }" },
 534         });
 535 }
 536
 537 /* Perform some basic scaling tests.
 538  */
 539 static void test_scale(isl::ctx ctx)
 540 {
 541         C(arg<isl::multi_val>(&isl::pw_multi_aff::scale), {
 542         { "{ A[a] -> B[a, a + 1, a - 1] : a >= 0 }", "{ B[2, 7, 0] }",
 543           "{ A[a] -> B[2a, 7a + 7, 0] : a >= 0 }" },
 544         });
 545         C(arg<isl::multi_val>(&isl::pw_multi_aff::scale), {
 546         { "{ A[a] -> B[1, a - 1] : a >= 0 }", "{ B[1/2, 7] }",
 547           "{ A[a] -> B[1/2, 7a - 7] : a >= 0 }" },
 548         });
 549
 550         C(arg<isl::multi_val>(&isl::pw_multi_aff::scale_down), {
 551         { "{ A[a] -> B[a, a + 1] : a >= 0 }", "{ B[2, 7] }",
 552           "{ A[a] -> B[a/2, (a + 1)/7] : a >= 0 }" },
 553         });
 554         C(arg<isl::multi_val>(&isl::pw_multi_aff::scale_down), {
 555         { "{ A[a] -> B[a, a - 1] : a >= 0 }", "{ B[2, 1/7] }",
 556           "{ A[a] -> B[a/2, 7a - 7] : a >= 0 }" },
 557         });
 558 }
 559
 560 /* Perform some basic isl::id_to_id tests.
 561  */
 562 static void test_id_to_id(isl::ctx ctx)
 563 {
 564         C((arg<isl::id, isl::id>(&isl::id_to_id::set)), {
 565         { "{ }", "a", "b",
 566           "{ a: b }" },
 567         { "{ a: b }", "a", "b",
 568           "{ a: b }" },
 569         { "{ a: c }", "a", "b",
 570           "{ a: b }" },
 571         { "{ a: b }", "b", "a",
 572           "{ a: b, b: a }" },
 573         { "{ a: b }", "b", "a",
 574           "{ b: a, a: b }" },
 575         });
 576 }
 577
 578 /* The list of tests to perform.
 579  */
 580 static std::vector<std::pair<const char *, void (*)(isl::ctx)>> tests =
 581 {
 582         { "space", &test_space },
 583         { "conversion", &test_conversion },
 584         { "preimage", &test_preimage },
 585         { "fixed power", &test_fixed_power },
 586         { "intersect", &test_intersect },
 587         { "gist", &test_gist },
 588         { "project out parameters", &test_project },
 589         { "reverse", &test_reverse },
 590         { "scale", &test_scale },
 591         { "id-to-id", &test_id_to_id },
 592 };
 593
 594 /* Perform some basic checks by means of the C++ bindings.
 595  */
 596 int main(int argc, char **argv)
 597 {
 598         int ret = EXIT_SUCCESS;
 599         struct isl_ctx *ctx;
 600         struct isl_options *options;
 601
 602         options = isl_options_new_with_defaults();
 603         assert(options);
 604         argc = isl_options_parse(options, argc, argv, ISL_ARG_ALL);
 605         ctx = isl_ctx_alloc_with_options(&isl_options_args, options);
 606
 607         try {
 608                 for (const auto &f : tests) {
 609                         std::cout << f.first << "\n";
 610                         f.second(ctx);
 611                 }
 612         } catch (const isl::exception &e) {
 613                 std::cerr << e.what() << "\n";
 614                 ret = EXIT_FAILURE;
 615         }
 616
 617         isl_ctx_free(ctx);
 618         return ret;
 619 }