diff --git a/mlir/test/Dialect/Affine/simplify-affine-structures.mlir b/mlir/test/Dialect/Affine/simplify-affine-structures.mlir --- a/mlir/test/Dialect/Affine/simplify-affine-structures.mlir +++ b/mlir/test/Dialect/Affine/simplify-affine-structures.mlir @@ -1,76 +1,12 @@ // RUN: mlir-opt -allow-unregistered-dialect %s -split-input-file -simplify-affine-structures | FileCheck %s -// CHECK-DAG: [[SET_EMPTY_2D:#set[0-9]+]] = affine_set<(d0, d1) : (1 == 0)> -// CHECK-DAG: #set1 = affine_set<(d0, d1) : (d0 - 100 == 0, d1 - 10 == 0, -d0 + 100 >= 0, d1 >= 0)> -// CHECK-DAG: #set2 = affine_set<(d0, d1)[s0, s1] : (1 == 0)> -// CHECK-DAG: #set3 = affine_set<(d0, d1)[s0, s1] : (d0 * 7 + d1 * 5 + s0 * 11 + s1 == 0, d0 * 5 - d1 * 11 + s0 * 7 + s1 == 0, d0 * 11 + d1 * 7 - s0 * 5 + s1 == 0, d0 * 7 + d1 * 5 + s0 * 11 + s1 == 0)> -// CHECK-DAG: [[SET_EMPTY_1D:#set[0-9]+]] = affine_set<(d0) : (1 == 0)> -// CHECK-DAG: [[SET_EMPTY_1D_2S:#set[0-9]+]] = affine_set<(d0)[s0, s1] : (1 == 0)> -// CHECK-DAG: [[SET_EMPTY_3D:#set[0-9]+]] = affine_set<(d0, d1, d2) : (1 == 0)> - -// Set for test case: test_gaussian_elimination_non_empty_set2 -// #set2 = affine_set<(d0, d1) : (d0 - 100 == 0, d1 - 10 == 0, -d0 + 100 >= 0, d1 >= 0, d1 + 101 >= 0)> -#set2 = affine_set<(d0, d1) : (d0 - 100 == 0, d1 - 10 == 0, -d0 + 100 >= 0, d1 >= 0, d1 + 101 >= 0)> - -// Set for test case: test_gaussian_elimination_empty_set3 -// #set3 = affine_set<(d0, d1)[s0, s1] : (1 == 0)> -#set3 = affine_set<(d0, d1)[s0, s1] : (d0 - s0 == 0, d0 + s0 == 0, s0 - 1 == 0)> - -// Set for test case: test_gaussian_elimination_non_empty_set4 -#set4 = affine_set<(d0, d1)[s0, s1] : (d0 * 7 + d1 * 5 + s0 * 11 + s1 == 0, - d0 * 5 - d1 * 11 + s0 * 7 + s1 == 0, - d0 * 11 + d1 * 7 - s0 * 5 + s1 == 0, - d0 * 7 + d1 * 5 + s0 * 11 + s1 == 0)> - -// Add invalid constraints to previous non-empty set to make it empty. -// Set for test case: test_gaussian_elimination_empty_set5 -#set5 = affine_set<(d0, d1)[s0, s1] : (d0 * 7 + d1 * 5 + s0 * 11 + s1 == 0, - d0 * 5 - d1 * 11 + s0 * 7 + s1 == 0, - d0 * 11 + d1 * 7 - s0 * 5 + s1 == 0, - d0 * 7 + d1 * 5 + s0 * 11 + s1 == 0, - d0 - 1 == 0, d0 + 2 == 0)> - -// This is an artificially created system to exercise the worst case behavior of -// FM elimination - as a safeguard against improperly constructed constraint -// systems or fuzz input. -#set_fuzz_virus = affine_set<(d0, d1, d2, d3, d4, d5) : ( - 1089234*d0 + 203472*d1 + 82342 >= 0, - -55*d0 + 24*d1 + 238*d2 - 234*d3 - 9743 >= 0, - -5445*d0 - 284*d1 + 23*d2 + 34*d3 - 5943 >= 0, - -5445*d0 + 284*d1 + 238*d2 - 34*d3 >= 0, - 445*d0 + 284*d1 + 238*d2 + 39*d3 >= 0, - -545*d0 + 214*d1 + 218*d2 - 94*d3 >= 0, - 44*d0 - 184*d1 - 231*d2 + 14*d3 >= 0, - -45*d0 + 284*d1 + 138*d2 - 39*d3 >= 0, - 154*d0 - 84*d1 + 238*d2 - 34*d3 >= 0, - 54*d0 - 284*d1 - 223*d2 + 384*d3 >= 0, - -55*d0 + 284*d1 + 23*d2 + 34*d3 >= 0, - 54*d0 - 84*d1 + 28*d2 - 34*d3 >= 0, - 54*d0 - 24*d1 - 23*d2 + 34*d3 >= 0, - -55*d0 + 24*d1 + 23*d2 + 4*d3 >= 0, - 15*d0 - 84*d1 + 238*d2 - 3*d3 >= 0, - 5*d0 - 24*d1 - 223*d2 + 84*d3 >= 0, - -5*d0 + 284*d1 + 23*d2 - 4*d3 >= 0, - 14*d0 + 4*d2 + 7234 >= 0, - -174*d0 - 534*d2 + 9834 >= 0, - 194*d0 - 954*d2 + 9234 >= 0, - 47*d0 - 534*d2 + 9734 >= 0, - -194*d0 - 934*d2 + 984 >= 0, - -947*d0 - 953*d2 + 234 >= 0, - 184*d0 - 884*d2 + 884 >= 0, - -174*d0 + 834*d2 + 234 >= 0, - 844*d0 + 634*d2 + 9874 >= 0, - -797*d2 - 79*d3 + 257 >= 0, - 2039*d0 + 793*d2 - 99*d3 - 24*d4 + 234*d5 >= 0, - 78*d2 - 788*d5 + 257 >= 0, - d3 - (d5 + 97*d0) floordiv 423 >= 0, - 234* (d0 + d3 mod 5 floordiv 2342) mod 2309 - + (d0 + 2038*d3) floordiv 208 >= 0, - 239* (d0 + 2300 * d3) floordiv 2342 - mod 2309 mod 239423 == 0, - d0 + d3 mod 2642 + (d3 + 2*d0) mod 1247 - mod 2038 mod 2390 mod 2039 floordiv 55 >= 0 -)> +// CHECK-DAG: #[[SET_EMPTY_2D:.*]] = affine_set<(d0, d1) : (1 == 0)> +// CHECK-DAG: #[[SET_2D:.*]] = affine_set<(d0, d1) : (d0 - 100 == 0, d1 - 10 == 0, -d0 + 100 >= 0, d1 >= 0)> +// CHECK-DAG: #[[SET_EMPTY_2D_2S:.*]] = affine_set<(d0, d1)[s0, s1] : (1 == 0)> +// CHECK-DAG: #[[SET_2D_2S:.*]] = affine_set<(d0, d1)[s0, s1] : (d0 * 7 + d1 * 5 + s0 * 11 + s1 == 0, d0 * 5 - d1 * 11 + s0 * 7 + s1 == 0, d0 * 11 + d1 * 7 - s0 * 5 + s1 == 0, d0 * 7 + d1 * 5 + s0 * 11 + s1 == 0)> +// CHECK-DAG: #[[SET_EMPTY_1D:.*]] = affine_set<(d0) : (1 == 0)> +// CHECK-DAG: #[[SET_EMPTY_1D_2S:.*]] = affine_set<(d0)[s0, s1] : (1 == 0)> +// CHECK-DAG: #[[SET_EMPTY_3D:.*]] = affine_set<(d0, d1, d2) : (1 == 0)> // CHECK-LABEL: func @test_gaussian_elimination_empty_set0() { func @test_gaussian_elimination_empty_set0() { @@ -100,8 +36,8 @@ func @test_gaussian_elimination_non_empty_set2() { affine.for %arg0 = 1 to 10 { affine.for %arg1 = 1 to 100 { - // CHECK: #set1(%arg0, %arg1) - affine.if #set2(%arg0, %arg1) { + // CHECK: #[[SET_2D]](%arg0, %arg1) + affine.if affine_set<(d0, d1) : (d0 - 100 == 0, d1 - 10 == 0, -d0 + 100 >= 0, d1 >= 0, d1 + 101 >= 0)>(%arg0, %arg1) { } } } @@ -114,42 +50,98 @@ %c11 = constant 11 : index affine.for %arg0 = 1 to 10 { affine.for %arg1 = 1 to 100 { - // CHECK: #set2(%arg0, %arg1)[%c7, %c11] - affine.if #set3(%arg0, %arg1)[%c7, %c11] { + // CHECK: #[[SET_EMPTY_2D_2S]](%arg0, %arg1)[%c7, %c11] + affine.if affine_set<(d0, d1)[s0, s1] : (d0 - s0 == 0, d0 + s0 == 0, s0 - 1 == 0)>(%arg0, %arg1)[%c7, %c11] { } } } return } +// Set for test case: test_gaussian_elimination_non_empty_set4 +#set_2d_non_empty = affine_set<(d0, d1)[s0, s1] : (d0 * 7 + d1 * 5 + s0 * 11 + s1 == 0, + d0 * 5 - d1 * 11 + s0 * 7 + s1 == 0, + d0 * 11 + d1 * 7 - s0 * 5 + s1 == 0, + d0 * 7 + d1 * 5 + s0 * 11 + s1 == 0)> + // CHECK-LABEL: func @test_gaussian_elimination_non_empty_set4() { func @test_gaussian_elimination_non_empty_set4() { %c7 = constant 7 : index %c11 = constant 11 : index affine.for %arg0 = 1 to 10 { affine.for %arg1 = 1 to 100 { - // CHECK: #set3(%arg0, %arg1)[%c7, %c11] - affine.if #set4(%arg0, %arg1)[%c7, %c11] { + // CHECK: #[[SET_2D_2S]](%arg0, %arg1)[%c7, %c11] + affine.if #set_2d_non_empty(%arg0, %arg1)[%c7, %c11] { } } } return } +// Add invalid constraints to previous non-empty set to make it empty. +// Set for test case: test_gaussian_elimination_empty_set5 +#set_2d_empty = affine_set<(d0, d1)[s0, s1] : (d0 * 7 + d1 * 5 + s0 * 11 + s1 == 0, + d0 * 5 - d1 * 11 + s0 * 7 + s1 == 0, + d0 * 11 + d1 * 7 - s0 * 5 + s1 == 0, + d0 * 7 + d1 * 5 + s0 * 11 + s1 == 0, + d0 - 1 == 0, d0 + 2 == 0)> + // CHECK-LABEL: func @test_gaussian_elimination_empty_set5() { func @test_gaussian_elimination_empty_set5() { %c7 = constant 7 : index %c11 = constant 11 : index affine.for %arg0 = 1 to 10 { affine.for %arg1 = 1 to 100 { - // CHECK: #set2(%arg0, %arg1)[%c7, %c11] - affine.if #set5(%arg0, %arg1)[%c7, %c11] { + // CHECK: #[[SET_EMPTY_2D_2S]](%arg0, %arg1)[%c7, %c11] + affine.if #set_2d_empty(%arg0, %arg1)[%c7, %c11] { } } } return } +// This is an artificially created system to exercise the worst case behavior of +// FM elimination - as a safeguard against improperly constructed constraint +// systems or fuzz input. +#set_fuzz_virus = affine_set<(d0, d1, d2, d3, d4, d5) : ( + 1089234*d0 + 203472*d1 + 82342 >= 0, + -55*d0 + 24*d1 + 238*d2 - 234*d3 - 9743 >= 0, + -5445*d0 - 284*d1 + 23*d2 + 34*d3 - 5943 >= 0, + -5445*d0 + 284*d1 + 238*d2 - 34*d3 >= 0, + 445*d0 + 284*d1 + 238*d2 + 39*d3 >= 0, + -545*d0 + 214*d1 + 218*d2 - 94*d3 >= 0, + 44*d0 - 184*d1 - 231*d2 + 14*d3 >= 0, + -45*d0 + 284*d1 + 138*d2 - 39*d3 >= 0, + 154*d0 - 84*d1 + 238*d2 - 34*d3 >= 0, + 54*d0 - 284*d1 - 223*d2 + 384*d3 >= 0, + -55*d0 + 284*d1 + 23*d2 + 34*d3 >= 0, + 54*d0 - 84*d1 + 28*d2 - 34*d3 >= 0, + 54*d0 - 24*d1 - 23*d2 + 34*d3 >= 0, + -55*d0 + 24*d1 + 23*d2 + 4*d3 >= 0, + 15*d0 - 84*d1 + 238*d2 - 3*d3 >= 0, + 5*d0 - 24*d1 - 223*d2 + 84*d3 >= 0, + -5*d0 + 284*d1 + 23*d2 - 4*d3 >= 0, + 14*d0 + 4*d2 + 7234 >= 0, + -174*d0 - 534*d2 + 9834 >= 0, + 194*d0 - 954*d2 + 9234 >= 0, + 47*d0 - 534*d2 + 9734 >= 0, + -194*d0 - 934*d2 + 984 >= 0, + -947*d0 - 953*d2 + 234 >= 0, + 184*d0 - 884*d2 + 884 >= 0, + -174*d0 + 834*d2 + 234 >= 0, + 844*d0 + 634*d2 + 9874 >= 0, + -797*d2 - 79*d3 + 257 >= 0, + 2039*d0 + 793*d2 - 99*d3 - 24*d4 + 234*d5 >= 0, + 78*d2 - 788*d5 + 257 >= 0, + d3 - (d5 + 97*d0) floordiv 423 >= 0, + 234* (d0 + d3 mod 5 floordiv 2342) mod 2309 + + (d0 + 2038*d3) floordiv 208 >= 0, + 239* (d0 + 2300 * d3) floordiv 2342 + mod 2309 mod 239423 == 0, + d0 + d3 mod 2642 + (d3 + 2*d0) mod 1247 + mod 2038 mod 2390 mod 2039 floordiv 55 >= 0 +)> + // CHECK-LABEL: func @test_fuzz_explosion func @test_fuzz_explosion(%arg0 : index, %arg1 : index, %arg2 : index, %arg3 : index) { affine.for %arg4 = 1 to 10 { @@ -161,38 +153,37 @@ return } - // CHECK-LABEL: func @test_empty_set(%arg0: index) { func @test_empty_set(%N : index) { affine.for %i = 0 to 10 { affine.for %j = 0 to 10 { - // CHECK: affine.if [[SET_EMPTY_2D]](%arg1, %arg2) + // CHECK: affine.if #[[SET_EMPTY_2D]](%arg1, %arg2) affine.if affine_set<(d0, d1) : (d0 - d1 >= 0, d1 - d0 - 1 >= 0)>(%i, %j) { "foo"() : () -> () } - // CHECK: affine.if [[SET_EMPTY_1D]](%arg1) + // CHECK: affine.if #[[SET_EMPTY_1D]](%arg1) affine.if affine_set<(d0) : (d0 >= 0, -d0 - 1 >= 0)>(%i) { "bar"() : () -> () } - // CHECK: affine.if [[SET_EMPTY_1D]](%arg1) + // CHECK: affine.if #[[SET_EMPTY_1D]](%arg1) affine.if affine_set<(d0) : (d0 >= 0, -d0 - 1 >= 0)>(%i) { "foo"() : () -> () } - // CHECK: affine.if [[SET_EMPTY_1D_2S]](%arg1)[%arg0, %arg0] + // CHECK: affine.if #[[SET_EMPTY_1D_2S]](%arg1)[%arg0, %arg0] affine.if affine_set<(d0)[s0, s1] : (d0 >= 0, -d0 + s0 - 1 >= 0, -s0 >= 0)>(%i)[%N, %N] { "bar"() : () -> () } - // CHECK: affine.if [[SET_EMPTY_3D]](%arg1, %arg2, %arg0) + // CHECK: affine.if #[[SET_EMPTY_3D]](%arg1, %arg2, %arg0) // The set below implies d0 = d1; so d1 >= d0, but d0 >= d1 + 1. affine.if affine_set<(d0, d1, d2) : (d0 - d1 == 0, d2 - d0 >= 0, d0 - d1 - 1 >= 0)>(%i, %j, %N) { "foo"() : () -> () } - // CHECK: affine.if [[SET_EMPTY_2D]](%arg1, %arg2) + // CHECK: affine.if #[[SET_EMPTY_2D]](%arg1, %arg2) // The set below has rational solutions but no integer solutions; GCD test catches it. affine.if affine_set<(d0, d1) : (d0*2 -d1*2 - 1 == 0, d0 >= 0, -d0 + 100 >= 0, d1 >= 0, -d1 + 100 >= 0)>(%i, %j) { "foo"() : () -> () } - // CHECK: affine.if [[SET_EMPTY_2D]](%arg1, %arg2) + // CHECK: affine.if #[[SET_EMPTY_2D]](%arg1, %arg2) affine.if affine_set<(d0, d1) : (d1 == 0, d0 - 1 >= 0, - d0 - 1 >= 0)>(%i, %j) { "foo"() : () -> () } @@ -202,12 +193,12 @@ affine.for %k = 0 to 10 { affine.for %l = 0 to 10 { // Empty because no multiple of 8 lies between 4 and 7. - // CHECK: affine.if [[SET_EMPTY_1D]](%arg1) + // CHECK: affine.if #[[SET_EMPTY_1D]](%arg1) affine.if affine_set<(d0) : (8*d0 - 4 >= 0, -8*d0 + 7 >= 0)>(%k) { "foo"() : () -> () } // Same as above but with equalities and inequalities. - // CHECK: affine.if [[SET_EMPTY_2D]](%arg1, %arg2) + // CHECK: affine.if #[[SET_EMPTY_2D]](%arg1, %arg2) affine.if affine_set<(d0, d1) : (d0 - 4*d1 == 0, 4*d1 - 5 >= 0, -4*d1 + 7 >= 0)>(%k, %l) { "foo"() : () -> () } @@ -215,12 +206,12 @@ // 8*d1 here is a multiple of 4, and so can't lie between 9 and 11. GCD // tightening will tighten constraints to 4*d0 + 8*d1 >= 12 and 4*d0 + // 8*d1 <= 8; hence infeasible. - // CHECK: affine.if [[SET_EMPTY_2D]](%arg1, %arg2) + // CHECK: affine.if #[[SET_EMPTY_2D]](%arg1, %arg2) affine.if affine_set<(d0, d1) : (4*d0 + 8*d1 - 9 >= 0, -4*d0 - 8*d1 + 11 >= 0)>(%k, %l) { "foo"() : () -> () } // Same as above but with equalities added into the mix. - // CHECK: affine.if [[SET_EMPTY_3D]](%arg1, %arg1, %arg2) + // CHECK: affine.if #[[SET_EMPTY_3D]](%arg1, %arg1, %arg2) affine.if affine_set<(d0, d1, d2) : (d0 - 4*d2 == 0, d0 + 8*d1 - 9 >= 0, -d0 - 8*d1 + 11 >= 0)>(%k, %k, %l) { "foo"() : () -> () } @@ -228,7 +219,7 @@ } affine.for %m = 0 to 10 { - // CHECK: affine.if [[SET_EMPTY_1D]](%arg{{[0-9]+}}) + // CHECK: affine.if #[[SET_EMPTY_1D]](%arg{{[0-9]+}}) affine.if affine_set<(d0) : (d0 mod 2 - 3 == 0)> (%m) { "foo"() : () -> () } @@ -239,19 +230,19 @@ // ----- -// CHECK-DAG: #[[SET1:.*]] = affine_set<(d0, d1) : (d0 >= 0, -d0 + 50 >= 0) -// CHECK-DAG: #[[SET2:.*]] = affine_set<(d0, d1) : (1 == 0) -// CHECK-DAG: #[[SET3:.*]] = affine_set<(d0, d1) : (0 == 0) +// CHECK-DAG: #[[SET_2D:.*]] = affine_set<(d0, d1) : (d0 >= 0, -d0 + 50 >= 0) +// CHECK-DAG: #[[SET_EMPTY:.*]] = affine_set<(d0, d1) : (1 == 0) +// CHECK-DAG: #[[SET_UNIV:.*]] = affine_set<(d0, d1) : (0 == 0) // CHECK-LABEL: func @simplify_set func @simplify_set(%a : index, %b : index) { - // CHECK: affine.if #[[SET1]] + // CHECK: affine.if #[[SET_2D]] affine.if affine_set<(d0, d1) : (d0 - d1 + d1 + d0 >= 0, 2 >= 0, d0 >= 0, -d0 + 50 >= 0, -d0 + 100 >= 0)>(%a, %b) { } - // CHECK: affine.if #[[SET2]] + // CHECK: affine.if #[[SET_EMPTY]] affine.if affine_set<(d0, d1) : (d0 mod 2 - 1 == 0, d0 - 2 * (d0 floordiv 2) == 0)>(%a, %b) { } - // CHECK: affine.if #[[SET3]] + // CHECK: affine.if #[[SET_UNIV]] affine.if affine_set<(d0, d1) : (1 >= 0, 3 >= 0)>(%a, %b) { } return