// RUN: mlir-opt %s -test-lower-to-llvm | \ // RUN: mlir-runner -e entry -entry-point-result=void \ // RUN: -shared-libs=%mlir_c_runner_utils | \ // RUN: FileCheck %s // Illustrates an 8x8 Sparse Matrix x Vector implemented with only operations // of the vector dialect (and some std/scf). Essentially, this example performs // the following multiplication: // // 0 1 2 3 4 5 6 7 // +------------------------+ // 0 | 1 0 2 0 0 1 0 1 | | 1 | | 21 | // 1 | 1 8 0 0 3 0 1 0 | | 2 | | 39 | // 2 | 0 0 1 0 0 2 6 2 | | 3 | | 73 | // 3 | 0 3 0 1 0 1 0 1 | x | 4 | = | 24 | // 4 | 5 0 0 1 1 1 0 0 | | 5 | | 20 | // 5 | 0 3 0 0 2 1 2 0 | | 6 | | 36 | // 6 | 4 0 7 0 1 0 1 0 | | 7 | | 37 | // 7 | 0 3 0 2 0 0 1 1 | | 8 | | 29 | // +------------------------+ // // The sparse storage scheme used is an extended column scheme (also referred // to as jagged diagonal, which is essentially a vector friendly variant of // the general sparse row-wise scheme (also called compressed row storage), // using fixed length vectors and no explicit pointer indexing into the // value array to find the rows. // // The extended column storage for the matrix shown above is as follows. // // VALUE INDEX // +---------+ +---------+ // 0 | 1 2 1 1 | | 0 2 5 7 | // 1 | 1 8 3 1 | | 0 1 4 6 | // 2 | 1 2 6 2 | | 2 5 6 7 | // 3 | 3 1 1 1 | | 1 3 5 7 | // 4 | 5 1 1 1 | | 0 3 4 5 | // 5 | 3 2 1 2 | | 1 4 5 6 | // 6 | 4 7 1 1 | | 0 2 4 6 | // 7 | 3 2 1 1 | | 1 3 6 7 | // +---------+ +---------+ // // This example illustrates an effective SAXPY version that operates // on the transposed jagged diagonal storage to obtain higher vector // lengths. Another example in this directory illustrates a DOT // version of the operation. func.func @spmv8x8(%AVAL: memref<4xvector<8xf32>>, %AIDX: memref<4xvector<8xi32>>, %X: memref, %B: memref<1xvector<8xf32>>) { %c0 = arith.constant 0 : index %c1 = arith.constant 1 : index %cn = arith.constant 4 : index %f0 = arith.constant 0.0 : f32 %mask = vector.constant_mask [8] : vector<8xi1> %pass = vector.broadcast %f0 : f32 to vector<8xf32> %b = memref.load %B[%c0] : memref<1xvector<8xf32>> %b_out = scf.for %k = %c0 to %cn step %c1 iter_args(%b_iter = %b) -> (vector<8xf32>) { %aval = memref.load %AVAL[%k] : memref<4xvector<8xf32>> %aidx = memref.load %AIDX[%k] : memref<4xvector<8xi32>> %0 = vector.gather %X[%c0][%aidx], %mask, %pass : memref, vector<8xi32>, vector<8xi1>, vector<8xf32> into vector<8xf32> %b_new = vector.fma %aval, %0, %b_iter : vector<8xf32> scf.yield %b_new : vector<8xf32> } memref.store %b_out, %B[%c0] : memref<1xvector<8xf32>> return } func.func @entry() { %c0 = arith.constant 0 : index %c1 = arith.constant 1 : index %c2 = arith.constant 2 : index %c3 = arith.constant 3 : index %c4 = arith.constant 4 : index %c5 = arith.constant 5 : index %c6 = arith.constant 6 : index %c7 = arith.constant 7 : index %c8 = arith.constant 8 : index %f0 = arith.constant 0.0 : f32 %f1 = arith.constant 1.0 : f32 %f2 = arith.constant 2.0 : f32 %f3 = arith.constant 3.0 : f32 %f4 = arith.constant 4.0 : f32 %f5 = arith.constant 5.0 : f32 %f6 = arith.constant 6.0 : f32 %f7 = arith.constant 7.0 : f32 %f8 = arith.constant 8.0 : f32 %i0 = arith.constant 0 : i32 %i1 = arith.constant 1 : i32 %i2 = arith.constant 2 : i32 %i3 = arith.constant 3 : i32 %i4 = arith.constant 4 : i32 %i5 = arith.constant 5 : i32 %i6 = arith.constant 6 : i32 %i7 = arith.constant 7 : i32 // // Allocate. // %AVAL = memref.alloc() {alignment = 64} : memref<4xvector<8xf32>> %AIDX = memref.alloc() {alignment = 64} : memref<4xvector<8xi32>> %X = memref.alloc(%c8) {alignment = 64} : memref %B = memref.alloc() {alignment = 64} : memref<1xvector<8xf32>> // // Initialize. // %vf1 = vector.broadcast %f1 : f32 to vector<8xf32> %0 = vector.insert %f3, %vf1[3] : f32 into vector<8xf32> %1 = vector.insert %f5, %0[4] : f32 into vector<8xf32> %2 = vector.insert %f3, %1[5] : f32 into vector<8xf32> %3 = vector.insert %f4, %2[6] : f32 into vector<8xf32> %4 = vector.insert %f3, %3[7] : f32 into vector<8xf32> memref.store %4, %AVAL[%c0] : memref<4xvector<8xf32>> %5 = vector.insert %f2, %vf1[0] : f32 into vector<8xf32> %6 = vector.insert %f8, %5[1] : f32 into vector<8xf32> %7 = vector.insert %f2, %6[2] : f32 into vector<8xf32> %8 = vector.insert %f2, %7[5] : f32 into vector<8xf32> %9 = vector.insert %f7, %8[6] : f32 into vector<8xf32> %10 = vector.insert %f2, %9[7] : f32 into vector<8xf32> memref.store %10, %AVAL[%c1] : memref<4xvector<8xf32>> %11 = vector.insert %f3, %vf1[1] : f32 into vector<8xf32> %12 = vector.insert %f6, %11[2] : f32 into vector<8xf32> memref.store %12, %AVAL[%c2] : memref<4xvector<8xf32>> %13 = vector.insert %f2, %vf1[2] : f32 into vector<8xf32> %14 = vector.insert %f2, %13[5] : f32 into vector<8xf32> memref.store %14, %AVAL[%c3] : memref<4xvector<8xf32>> %vi0 = vector.broadcast %i0 : i32 to vector<8xi32> %20 = vector.insert %i2, %vi0[2] : i32 into vector<8xi32> %21 = vector.insert %i1, %20[3] : i32 into vector<8xi32> %22 = vector.insert %i1, %21[5] : i32 into vector<8xi32> %23 = vector.insert %i1, %22[7] : i32 into vector<8xi32> memref.store %23, %AIDX[%c0] : memref<4xvector<8xi32>> %24 = vector.insert %i2, %vi0[0] : i32 into vector<8xi32> %25 = vector.insert %i1, %24[1] : i32 into vector<8xi32> %26 = vector.insert %i5, %25[2] : i32 into vector<8xi32> %27 = vector.insert %i3, %26[3] : i32 into vector<8xi32> %28 = vector.insert %i3, %27[4] : i32 into vector<8xi32> %29 = vector.insert %i4, %28[5] : i32 into vector<8xi32> %30 = vector.insert %i2, %29[6] : i32 into vector<8xi32> %31 = vector.insert %i3, %30[7] : i32 into vector<8xi32> memref.store %31, %AIDX[%c1] : memref<4xvector<8xi32>> %32 = vector.insert %i5, %vi0[0] : i32 into vector<8xi32> %33 = vector.insert %i4, %32[1] : i32 into vector<8xi32> %34 = vector.insert %i6, %33[2] : i32 into vector<8xi32> %35 = vector.insert %i5, %34[3] : i32 into vector<8xi32> %36 = vector.insert %i4, %35[4] : i32 into vector<8xi32> %37 = vector.insert %i5, %36[5] : i32 into vector<8xi32> %38 = vector.insert %i4, %37[6] : i32 into vector<8xi32> %39 = vector.insert %i6, %38[7] : i32 into vector<8xi32> memref.store %39, %AIDX[%c2] : memref<4xvector<8xi32>> %40 = vector.insert %i7, %vi0[0] : i32 into vector<8xi32> %41 = vector.insert %i6, %40[1] : i32 into vector<8xi32> %42 = vector.insert %i7, %41[2] : i32 into vector<8xi32> %43 = vector.insert %i7, %42[3] : i32 into vector<8xi32> %44 = vector.insert %i5, %43[4] : i32 into vector<8xi32> %45 = vector.insert %i6, %44[5] : i32 into vector<8xi32> %46 = vector.insert %i6, %45[6] : i32 into vector<8xi32> %47 = vector.insert %i7, %46[7] : i32 into vector<8xi32> memref.store %47, %AIDX[%c3] : memref<4xvector<8xi32>> %vf0 = vector.broadcast %f0 : f32 to vector<8xf32> memref.store %vf0, %B[%c0] : memref<1xvector<8xf32>> scf.for %i = %c0 to %c8 step %c1 { %ix = arith.addi %i, %c1 : index %kx = arith.index_cast %ix : index to i32 %fx = arith.sitofp %kx : i32 to f32 memref.store %fx, %X[%i] : memref } // // Multiply. // call @spmv8x8(%AVAL, %AIDX, %X, %B) : (memref<4xvector<8xf32>>, memref<4xvector<8xi32>>, memref, memref<1xvector<8xf32>>) -> () // // Print and verify. // scf.for %i = %c0 to %c4 step %c1 { %aval = memref.load %AVAL[%i] : memref<4xvector<8xf32>> vector.print %aval : vector<8xf32> } scf.for %i = %c0 to %c4 step %c1 { %aidx = memref.load %AIDX[%i] : memref<4xvector<8xi32>> vector.print %aidx : vector<8xi32> } %ldb = memref.load %B[%c0] : memref<1xvector<8xf32>> vector.print %ldb : vector<8xf32> // // CHECK: ( 1, 1, 1, 3, 5, 3, 4, 3 ) // CHECK-NEXT: ( 2, 8, 2, 1, 1, 2, 7, 2 ) // CHECK-NEXT: ( 1, 3, 6, 1, 1, 1, 1, 1 ) // CHECK-NEXT: ( 1, 1, 2, 1, 1, 2, 1, 1 ) // // CHECK-NEXT: ( 0, 0, 2, 1, 0, 1, 0, 1 ) // CHECK-NEXT: ( 2, 1, 5, 3, 3, 4, 2, 3 ) // CHECK-NEXT: ( 5, 4, 6, 5, 4, 5, 4, 6 ) // CHECK-NEXT: ( 7, 6, 7, 7, 5, 6, 6, 7 ) // // CHECK-NEXT: ( 21, 39, 73, 24, 20, 36, 37, 29 ) // // // Free. // memref.dealloc %AVAL : memref<4xvector<8xf32>> memref.dealloc %AIDX : memref<4xvector<8xi32>> memref.dealloc %X : memref memref.dealloc %B : memref<1xvector<8xf32>> return }