Presburger/test: increase coverage of parser (#95705)

In preparation to write a free-standing parser for Presburger, improve
the test coverage of the existing parser.

Author: artagnon

mlir/unittests/Analysis/Presburger/ParserTest.cpp

@@ -45,6 +45,18 @@ static bool parseAndCompare(StringRef str, const IntegerPolyhedron &ex) {
 }
 
 TEST(ParseFACTest, ParseAndCompareTest) {
+  // constant-fold addition
+  EXPECT_TRUE(parseAndCompare("() : (4 + 3 >= 0)",
+                              makeFACFromConstraints(0, 0, {}, {})));
+
+  // constant-fold addition + multiplication
+  EXPECT_TRUE(parseAndCompare("()[a] : (4 * 3 == 10 + 2)",
+                              makeFACFromConstraints(0, 1, {}, {})));
+
+  // constant-fold ceildiv + floordiv
+  EXPECT_TRUE(parseAndCompare("(x) : (11 ceildiv 3 == 13 floordiv 3)",
+                              makeFACFromConstraints(1, 0, {}, {})));
+
   // simple ineq
   EXPECT_TRUE(parseAndCompare("(x)[] : (x >= 0)",
                               makeFACFromConstraints(1, 0, {{1, 0}})));
@@ -57,6 +69,11 @@ TEST(ParseFACTest, ParseAndCompareTest) {
   EXPECT_TRUE(parseAndCompare("(x)[] : (7 * x >= 0, -7 * x + 5 >= 0)",
                               makeFACFromConstraints(1, 0, {{7, 0}, {-7, 5}})));
 
+  // multiplication distribution
+  EXPECT_TRUE(
+      parseAndCompare("(x) : (2 * x >= 2, (-7 + x * 9) * 5 >= 0)",
+                      makeFACFromConstraints(1, 0, {{2, -2}, {45, -35}})));
+
   // multiple dimensions
   EXPECT_TRUE(parseAndCompare("(x,y,z)[] : (x + y - z >= 0)",
                               makeFACFromConstraints(3, 0, {{1, 1, -1, 0}})));
@@ -70,20 +87,61 @@ TEST(ParseFACTest, ParseAndCompareTest) {
   EXPECT_TRUE(parseAndCompare("()[a] : (2 * a - 4 == 0)",
                               makeFACFromConstraints(0, 1, {}, {{2, -4}})));
 
+  // no linear terms
+  EXPECT_TRUE(parseAndCompare(
+      "(x, y) : (26 * (x floordiv 6) == y floordiv 3)",
+      makeFACFromConstraints(2, 0, {}, {{0, 0, 26, -1, 0}},
+                             {{{1, 0, 0}, 6}, {{0, 1, 0, 0}, 3}})));
+
   // simple floordiv
   EXPECT_TRUE(parseAndCompare(
       "(x, y) : (y - 3 * ((x + y - 13) floordiv 3) - 42 == 0)",
       makeFACFromConstraints(2, 0, {}, {{0, 1, -3, -42}}, {{{1, 1, -13}, 3}})));
 
+  // simple ceildiv
+  EXPECT_TRUE(parseAndCompare(
+      "(x, y) : (y - 3 * ((x + y - 13) ceildiv 3) - 42 == 0)",
+      makeFACFromConstraints(2, 0, {}, {{0, 1, -3, -42}}, {{{1, 1, -11}, 3}})));
+
+  // simple mod
+  EXPECT_TRUE(parseAndCompare(
+      "(x, y) : (y - 3 * ((x + y - 13) mod 3) - 42 == 0)",
+      makeFACFromConstraints(2, 0, {}, {{-3, -2, 9, -3}}, {{{1, 1, -13}, 3}})));
+
   // multiple floordiv
   EXPECT_TRUE(parseAndCompare(
       "(x, y) : (y - x floordiv 3 - y floordiv 2 == 0)",
       makeFACFromConstraints(2, 0, {}, {{0, 1, -1, -1, 0}},
                              {{{1, 0, 0}, 3}, {{0, 1, 0, 0}, 2}})));
 
+  // multiple ceildiv
+  EXPECT_TRUE(parseAndCompare(
+      "(x, y) : (y - x ceildiv 3 - y ceildiv 2 == 0)",
+      makeFACFromConstraints(2, 0, {}, {{0, 1, -1, -1, 0}},
+                             {{{1, 0, 2}, 3}, {{0, 1, 0, 1}, 2}})));
+
+  // multiple mod
+  EXPECT_TRUE(parseAndCompare(
+      "(x, y) : (y - x mod 3 - y mod 2 == 0)",
+      makeFACFromConstraints(2, 0, {}, {{-1, 0, 3, 2, 0}},
+                             {{{1, 0, 0}, 3}, {{0, 1, 0, 0}, 2}})));
+
   // nested floordiv
   EXPECT_TRUE(parseAndCompare(
       "(x, y) : (y - (x + y floordiv 2) floordiv 3 == 0)",
       makeFACFromConstraints(2, 0, {}, {{0, 1, 0, -1, 0}},
                              {{{0, 1, 0}, 2}, {{1, 0, 1, 0}, 3}})));
+
+  // nested mod
+  EXPECT_TRUE(parseAndCompare(
+      "(x, y) : (y - (x + y mod 2) mod 3 == 0)",
+      makeFACFromConstraints(2, 0, {}, {{-1, 0, 2, 3, 0}},
+                             {{{0, 1, 0}, 2}, {{1, 1, -2, 0}, 3}})));
+
+  // nested floordiv + ceildiv + mod
+  EXPECT_TRUE(parseAndCompare(
+      "(x, y) : ((2 * x + 3 * (y floordiv 2) + x mod 7 + 1) ceildiv 3 == 42)",
+      makeFACFromConstraints(
+          2, 0, {}, {{0, 0, 0, 0, 1, -42}},
+          {{{0, 1, 0}, 2}, {{1, 0, 0, 0}, 7}, {{3, 0, 3, -7, 3}, 3}})));
 }