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tests-lower.cpp
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#include "test.h"
#include "test_tensors.h"
#include <cmath>
#include "taco/lower/lower.h"
#include "taco/ir/ir.h"
#include "taco/index_notation/index_notation.h"
#include "taco/index_notation/index_notation_rewriter.h"
#include "taco/index_notation/index_notation_nodes.h"
#include "taco/index_notation/tensor_operator.h"
#include "taco/index_notation/kernel.h"
#include "taco/codegen/module.h"
#include "taco/storage/storage.h"
#include "taco/storage/pack.h"
#include "taco/lower/lower.h"
#include "taco/format.h"
#include "taco/util/strings.h"
#include "op_factory.h"
namespace taco {
namespace test {
static const Dimension n;
static const Type vectype(Float64, {n});
static const Type mattype(Float64, {n,n});
static const Type tentype(Float64, {n,n,n});
static TensorVar alpha("alpha", Float64);
static TensorVar beta("beta", Float64);
static TensorVar delta("delta", Float64);
static TensorVar zeta("zeta", Float64);
static TensorVar eta("eta", Float64);
static TensorVar t("t", Float64);
static TensorVar ti("ti", Float64);
static TensorVar tj("tj", Float64);
static TensorVar a("a", vectype, Format());
static TensorVar b("b", vectype, Format());
static TensorVar c("c", vectype, Format());
static TensorVar d("d", vectype, Format());
static const Type intvectype(Int32, {n});
static TensorVar ai("ai", intvectype, Format());
static TensorVar bi("bi", intvectype, Format());
static TensorVar ci("ci", intvectype, Format());
static TensorVar fill_10("fillA", vectype, Format(), Literal((double) 10));
static TensorVar w("w", vectype, dense);
static TensorVar A("A", mattype, Format());
static TensorVar B("B", mattype, Format());
static TensorVar C("C", mattype, Format());
static TensorVar D("D", mattype, Format());
static TensorVar S("S", tentype, Format());
static TensorVar T("T", tentype, Format());
static TensorVar U("U", tentype, Format());
static TensorVar V("V", tentype, Format());
const IndexVar i("i"), iw("iw");
const IndexVar j("j"), jw("jw");
const IndexVar k("k"), kw("kw");
struct TestCase {
TestCase(const map<TensorVar, vector<pair<vector<int>,double>>>& inputs,
const map<TensorVar, vector<pair<vector<int>,double>>>& expected,
const map<TensorVar, vector<int>>& dimensions = {})
: inputs(inputs), expected(expected), dimensions(dimensions) {}
map<TensorVar, vector<pair<vector<int>,double>>> inputs;
map<TensorVar, vector<pair<vector<int>,double>>> expected;
map<TensorVar, vector<int>> dimensions; // Shapes default to 5x5x...
vector<int> getDimensions(TensorVar var) const {
vector<int> dims;
if (contains(dimensions, var)) {
dims = dimensions.at(var);
}
else {
for (int i=0; i < var.getOrder(); ++i) {
dims.push_back(5);
}
}
return dims;
}
TensorStorage getResult(TensorVar var, Format format) const {
auto dimensions = getDimensions(var);
TensorStorage storage(type<double>(), dimensions, format, var.getFill());
// TODO: Get rid of this and lower to use dimensions instead
vector<taco::ModeIndex> modeIndices(format.getOrder());
for (int i = 0; i < format.getOrder(); ++i) {
if (format.getModeFormats()[i] == dense) {
const size_t idx = format.getModeOrdering()[i];
modeIndices[i] = taco::ModeIndex({taco::makeArray({dimensions[idx]})});
}
}
storage.setIndex(taco::Index(format, modeIndices));
return storage;
}
static
TensorStorage pack(Format format, const vector<int>& dims,
const vector<pair<vector<int>,double>>& components,
Literal fill){
size_t order = dims.size();
size_t num = components.size();
if (order == 0) {
TensorStorage storage = TensorStorage(type<double>(), {}, format, fill);
Array array = makeArray(type<double>(), 1);
*((double*)array.getData()) = components[0].second;
storage.setValues(array);
return storage;
}
else {
vector<TypedIndexVector> coords;
for (size_t i=0; i < order; ++i) {
coords.push_back(TypedIndexVector(type<int>(), num));
}
vector<double> values(num);
for (size_t i=0; i < components.size(); ++i) {
auto& coordinates = components[i].first;
std::vector<int> ordering = format.getModeOrdering();
for (size_t j=0; j < coordinates.size(); ++j) {
coords[j][i] = coordinates[j];
}
values[i] = components[i].second;
}
return taco::pack(type<double>(), dims, format, coords, values.data(), fill);
}
}
TensorStorage getArgument(TensorVar var, Format format) const {
taco_iassert(contains(inputs, var)) << var;
return pack(format, getDimensions(var), inputs.at(var), var.getFill());
}
TensorStorage getExpected(TensorVar var, Format format) const {
taco_iassert(contains(expected, var)) << var;
return pack(format, getDimensions(var), expected.at(var), var.getFill());
}
};
std::ostream& operator<<(std::ostream& os, const TestCase& testcase) {
os << endl << " Inputs:";
for (auto& input : testcase.inputs) {
os << endl << " " << input.first.getName() << ":";
for (auto& component : input.second) {
os << " (" << util::join(component.first) << "),"
<< component.second << " ";
}
}
os << endl << " Expected:";
for (auto& expected : testcase.expected) {
os << endl << " " << expected.first.getName() << ":";
for (auto& component : expected.second) {
os << " (" << util::join(component.first) << "),"
<< component.second << " ";
}
}
return os;
}
struct Test {
Test() = default;
Test(IndexStmt stmt, const vector<TestCase>& testCases)
: stmt(stmt), testCases(testCases) {}
IndexStmt stmt;
vector<TestCase> testCases;
};
ostream& operator<<(ostream& os, const Test& stmt) {
os << endl;
return os << " " << stmt.stmt;
}
struct Formats {
Formats() {}
Formats(map<TensorVar, Format> formats) : formats(formats) {}
map<TensorVar, Format> formats;
};
ostream& operator<<(ostream& os, const Formats& formats) {
for (auto& format : formats.formats) {
os << endl << " " << format.first.getName() << " : " << format.second;
}
return os << endl;
}
struct lower : public TestWithParam<::testing::tuple<Test,Formats>> {};
static
map<TensorVar,TensorVar> formatVars(const std::vector<TensorVar>& vars,
const map<TensorVar,Format>& formats) {
map<TensorVar,TensorVar> formatted;
for (auto& var : vars) {
Format format;
if (contains(formats, var)) {
format = formats.at(var);
}
else {
// Default format is dense in all dimensions
format = Format(vector<ModeFormatPack>(var.getOrder(), dense));
}
formatted.insert({var, TensorVar(var.getName(), var.getType(), format, var.getFill())});
}
return formatted;
}
static void verifyResults(const vector<TensorVar>& results,
const vector<TensorStorage>& arguments,
const map<TensorVar,TensorVar>& varsFormatted,
const map<TensorVar, TensorStorage>& expected) {
for (size_t i = 0; i < results.size(); i++) {
TensorVar result = results[i];
TensorStorage actualStorage = arguments[i];
TensorStorage expectedStorage = expected.at(result);
Format format = varsFormatted.at(result).getFormat();
Tensor<double> actual(actualStorage.getDimensions(), format);
Tensor<double> expected(expectedStorage.getDimensions(), format);
actual.setStorage(actualStorage);
expected.setStorage(expectedStorage);
ASSERT_TENSOR_EQ(expected, actual);
}
}
static void verifyResultsInt(const vector<TensorVar>& results,
const vector<TensorStorage>& arguments,
const map<TensorVar,TensorVar>& varsFormatted,
const map<TensorVar, TensorStorage>& expected) {
for (size_t i = 0; i < results.size(); i++) {
TensorVar result = results[i];
TensorStorage actualStorage = arguments[i];
TensorStorage expectedStorage = expected.at(result);
Format format = varsFormatted.at(result).getFormat();
Tensor<int> actual(actualStorage.getDimensions(), format);
Tensor<int> expected(expectedStorage.getDimensions(), format);
actual.setStorage(actualStorage);
expected.setStorage(expectedStorage);
ASSERT_TENSOR_EQ(expected, actual);
}
}
TEST_P(lower, compile) {
map<TensorVar,TensorVar> varsFormatted =
formatVars(getTensorVars(get<0>(GetParam()).stmt),
get<1>(GetParam()).formats);
IndexStmt stmt = replace(get<0>(GetParam()).stmt, varsFormatted);
ASSERT_TRUE(isLowerable(stmt)) << stmt;
Kernel kernel = compile(stmt);
for (auto& testCase : get<0>(GetParam()).testCases) {
vector<TensorStorage> arguments;
// Result tensors
vector<TensorVar> results = getResults(get<0>(GetParam()).stmt);
for (auto& result : results) {
Format format = varsFormatted.at(result).getFormat();
TensorStorage resultStorage = testCase.getResult(result, format);
arguments.push_back(resultStorage);
}
// Input tensors
for (auto& argument : getArguments(get<0>(GetParam()).stmt)) {
Format format = varsFormatted.at(argument).getFormat();
TensorStorage operandStorage = testCase.getArgument(argument, format);
arguments.push_back(operandStorage);
}
// Expected tensors values
map<TensorVar, TensorStorage> expected;
for (auto& result : results) {
Format format = varsFormatted.at(result).getFormat();
expected.insert({result, testCase.getExpected(result, format)});
}
{
SCOPED_TRACE("Separate Assembly and Compute\n");
ASSERT_TRUE(kernel.assemble(arguments));
ASSERT_TRUE(kernel.compute(arguments));
if (results[0].getType().getDataType().isInt())
verifyResultsInt(results, arguments, varsFormatted, expected);
else
verifyResults(results, arguments, varsFormatted, expected);
}
{
SCOPED_TRACE("Fused Assembly and Compute\n");
ASSERT_TRUE(kernel(arguments));
if (results[0].getType().getDataType().isInt())
verifyResultsInt(results, arguments, varsFormatted, expected);
else
verifyResults(results, arguments, varsFormatted, expected);
}
}
}
#define TEST_STMT(name, statement, formats, testcases) \
INSTANTIATE_TEST_CASE_P(name, lower, \
Combine(Values(Test(statement, testcases)), formats));
// Test scalar operations
TEST_STMT(scalar_copy,
alpha = beta(),
Values(Formats()),
{
TestCase({{beta, {{{}, 42.0}}}},
{{alpha, {{{}, 42.0}}}})
}
)
TEST_STMT(scalar_neg,
alpha = -beta,
Values(Formats()),
{
TestCase({{beta, {{{}, 42.0}}}},
{{alpha, {{{}, -42.0}}}})
}
)
TEST_STMT(scalar_add,
alpha = beta + delta,
Values(Formats()),
{
TestCase({{beta, {{{}, 2.0}}},
{delta, {{{}, 30.0}}}},
{{alpha, {{{}, 32.0}}}})
}
)
TEST_STMT(scalar_sub,
alpha = beta - delta,
Values(Formats()),
{
TestCase({{beta, {{{}, 2.0}}},
{delta, {{{}, 30.0}}}},
{{alpha, {{{}, -28.0}}}})
}
)
TEST_STMT(scalar_mul,
alpha = beta * delta,
Values(Formats()),
{
TestCase({{beta, {{{}, 2.0}}},
{delta, {{{}, 30.0}}}},
{{alpha, {{{}, 60.0}}}})
}
)
TEST_STMT(scalar_div,
alpha = beta / delta,
Values(Formats()),
{
TestCase({{beta, {{{}, 2.0}}},
{delta, {{{}, 30.0}}}},
{{alpha, {{{}, 0.06666666667}}}})
}
)
TEST_STMT(scalar_sqr,
alpha = sqrt(beta),
Values(Formats()),
{
TestCase({{beta, {{{}, 4.0}}}},
{{alpha, {{{}, 2.0}}}})
}
)
// Test vector operations
TEST_STMT(vector_neg,
forall(i,
a(i) = -b(i)
),
Values(
Formats({{a,dense}, {b,dense}}),
Formats({{a,dense}, {b,sparse}}),
Formats({{a,sparse}, {b,dense}}),
Formats({{a,sparse}, {b,sparse}})
),
{
TestCase({{b, {{{0}, 42.0}, {{3}, 4.0}}}},
{{a, {{{0}, -42.0}, {{3}, -4.0}}}})
}
)
TEST_STMT(vector_mul,
forall(i,
a(i) = b(i) * c(i)
),
Values(
Formats({{a, dense}, {b, dense}, {c, dense}}),
Formats({{a, dense}, {b,sparse}, {c, dense}}),
Formats({{a, dense}, {b, dense}, {c, sparse}}),
Formats({{a, dense}, {b,sparse}, {c, sparse}}),
Formats({{a,sparse}, {b,sparse}, {c, sparse}})
),
{
TestCase({{b, {{{0}, 1.0}, {{1}, 2.0}, {{3}, 3.0}}},
{c, {{{1}, 10.0}, {{2}, 20.0}, {{4}, 30.0}}}},
{{a, {{{1}, 20.0}}}})
}
)
TEST_STMT(vector_div,
forall(i,
a(i) = b(i) / c(i)
),
Values(
Formats({{a, dense}, {b, dense}, {c, dense}}),
Formats({{a, dense}, {b,sparse}, {c, dense}}),
Formats({{a, dense}, {b, dense}, {c, sparse}}),
Formats({{a, dense}, {b,sparse}, {c, sparse}}),
Formats({{a,sparse}, {b,sparse}, {c, sparse}})
),
{
TestCase({{b, {{{0}, 2.0}, {{1}, 1.0}, {{3}, 6.0}}},
{c, {{{0}, 1.0}, {{1}, 2.0}, {{2}, 3.0}, {{3}, 4.0},
{{4}, 5.0}}}},
{{a, {{{0}, 2.0}, {{1}, 0.5}, {{3}, 1.5}}}})
}
)
TEST_STMT(vector_intdiv,
forall(i,
a(i) = Cast(Cast(b(i), Int64) / Cast(c(i), Int64), Float64)
),
Values(
Formats({{a, dense}, {b, dense}, {c, dense}}),
Formats({{a, dense}, {b,sparse}, {c, dense}}),
Formats({{a, dense}, {b, dense}, {c, sparse}}),
Formats({{a, dense}, {b,sparse}, {c, sparse}}),
Formats({{a,sparse}, {b,sparse}, {c, sparse}})
),
{
TestCase({{b, {{{0}, 2.0}, {{1}, 1.0}, {{3}, 6.0}}},
{c, {{{0}, 1.0}, {{1}, 2.0}, {{2}, 3.0}, {{3}, 4.0},
{{4}, 5.0}}}},
{{a, {{{0}, 2.0}, {{3}, 1.0}}}})
}
)
TEST_STMT(vector_add,
forall(i,
a(i) = b(i) + c(i)
),
Values(
Formats({{a,dense}, {b,dense}, {c,dense}}),
Formats({{a,dense}, {b,dense}, {c,sparse}}),
Formats({{a,dense}, {b,sparse}, {c,dense}}),
Formats({{a,dense}, {b,sparse}, {c,sparse}}),
Formats({{a,sparse}, {b,sparse}, {c,sparse}})
),
{
TestCase({{b, {{{0}, 1.0}, {{3}, 2.0}}},
{c, {{{0}, 10.0}, {{2}, 20.0}, {{4}, 30.0}}}},
{{a, {{{0}, 11.0}, {{2}, 20.0}, {{3}, 2.0}, {{4}, 30.0}}}})
}
)
TEST_STMT(vector_sub,
forall(i,
a(i) = b(i) - c(i)
),
Values(
Formats({{a,dense}, {b,dense}}),
Formats({{a,dense}, {b,sparse}}),
Formats({{a,sparse}, {b,dense}}),
Formats({{a,sparse}, {b,sparse}})
),
{
TestCase({{b, {{{0}, 1.0}, {{3}, 2.0}}},
{c, {{{0}, 10.0}, {{2}, 20.0}, {{4}, 30.0}}}},
{{a, {{{0}, -9.0}, {{2}, -20.0}, {{3}, 2.0}, {{4}, -30.0}}}})
}
)
TEST_STMT(vector_inner_product,
forall(i,
alpha += b(i) * c(i)
),
Values(
Formats({{b,dense}, {c,dense}}),
Formats({{b,dense}, {c,sparse}}),
Formats({{b,sparse}, {c,dense}}),
Formats({{b,sparse}, {c,sparse}})
),
{
TestCase({{b, {{{0}, 1.0}, {{2}, 2.0}, {{3}, 3.0}}},
{c, {{{0}, 10.0}, {{3}, 20.0}, {{4}, 30.0}}}},
{{alpha, {{{}, 70.0}}}})
}
)
TEST_STMT(vector_or,
forall(i,
a(i) = Cast(Cast(b(i), taco::Bool) + Cast(c(i), taco::Bool), Float64)
),
Values(
Formats({{a,dense}, {b,dense}, {c,dense}}),
Formats({{a,dense}, {b,sparse}, {c,sparse}})
),
{
TestCase({{b, {{{0}, 1.0}, {{3}, 1.0}}},
{c, {{{0}, 0.0}, {{2}, 1.0}, {{4}, 1.0}}}},
{{a, {{{0}, 1.0}, {{2}, 1.0}, {{3}, 1.0}, {{4}, 1.0}}}})
}
)
TEST_STMT(vector_and,
forall(i,
a(i) = Cast(Cast(b(i), taco::Bool) * Cast(c(i), taco::Bool), Float64)
),
Values(
Formats({{a,dense}, {b,dense}, {c,dense}}),
Formats({{a,dense}, {b,sparse}, {c,sparse}})
),
{
TestCase({{b, {{{1}, 1.0}, {{2}, 0.0}, {{3}, 1.0}}},
{c, {{{1}, 1.0}, {{2}, 1.0}, {{4}, 1.0}}}},
{{a, {{{1}, 1.0}}}})
}
)
// Test matrix operations
TEST_STMT(matrix_neg,
forall(i,
forall(j,
A(i,j) = -B(i,j)
)),
Values(
Formats({{A,Format({ dense, dense})}, {B,Format({ dense, dense})}}),
Formats({{A,Format({ dense, dense})}, {B,Format({ dense,sparse})}}),
Formats({{A,Format({ dense, dense})}, {B,Format({sparse, dense})}}),
Formats({{A,Format({ dense, dense})}, {B,Format({sparse,sparse})}}),
Formats({{A,Format({ dense,sparse})}, {B,Format({ dense, dense})}}),
Formats({{A,Format({ dense,sparse})}, {B,Format({ dense,sparse})}}),
Formats({{A,Format({ dense,sparse})}, {B,Format({sparse, dense})}}),
Formats({{A,Format({ dense,sparse})}, {B,Format({sparse,sparse})}}),
Formats({{A,Format({sparse, dense})}, {B,Format({ dense, dense})}}),
Formats({{A,Format({sparse, dense})}, {B,Format({ dense,sparse})}}),
Formats({{A,Format({sparse, dense})}, {B,Format({sparse, dense})}}),
Formats({{A,Format({sparse, dense})}, {B,Format({sparse,sparse})}}),
Formats({{A,Format({sparse,sparse})}, {B,Format({ dense, dense})}}),
Formats({{A,Format({sparse,sparse})}, {B,Format({ dense,sparse})}}),
Formats({{A,Format({sparse,sparse})}, {B,Format({sparse, dense})}}),
Formats({{A,Format({sparse,sparse})}, {B,Format({sparse,sparse})}})
),
{
TestCase({{B, {{{0,0}, 42.0}, {{0,2}, 2.0}, {{1,1}, 3.0}, {{3,3}, 4.0}}}},
{{A, {{{0,0}, -42.0}, {{0,2}, -2.0}, {{1,1}, -3.0}, {{3,3}, -4.0}}}})
}
)
TEST_STMT(matrix_sum,
forall(i,
forall(j,
alpha() += B(i,j)
)),
Values(
Formats({{B,Format({ dense, dense})}}),
Formats({{B,Format({ dense,sparse})}}),
Formats({{B,Format({sparse, dense})}}),
Formats({{B,Format({sparse,sparse})}})
),
{
TestCase({{B, {{{0,0},42.0}, {{0,2},2.0}, {{1,1},3.0}, {{3,3},4.0}}}},
{{alpha, {{{}, 51.0}}}})
}
)
TEST_STMT(matrix_rowsum,
forall(i,
forall(j,
a(i) += B(i,j)
)),
Values(
Formats({{a,dense}, {B,Format({ dense, dense})}}),
Formats({{a,dense}, {B,Format({ dense,sparse})}}),
Formats({{a,dense}, {B,Format({sparse, dense})}}),
Formats({{a,dense}, {B,Format({sparse,sparse})}}),
Formats({{a,sparse}, {B,Format({ dense, dense})}}),
Formats({{a,sparse}, {B,Format({ dense,sparse})}}),
Formats({{a,sparse}, {B,Format({sparse, dense})}}),
Formats({{a,sparse}, {B,Format({sparse,sparse})}})
),
{
TestCase({{B, {{{0,0},42.0}, {{0,2},2.0}, {{1,1},3.0}, {{3,3},4.0}}}},
{{a, {{{0}, 44.0}, {{1}, 3.0}, {{3}, 4.0}}}})
}
)
TEST_STMT(matrix_vector_mul,
forall(i,
forall(j,
a(i) += B(i,j) * c(j)
)),
Values(
Formats({{a,Format({ dense})},
{B,Format({ dense, dense})}, {c,Format({ dense})}}),
Formats({{a,Format({ dense})},
{B,Format({ dense, sparse})}, {c,Format({ dense})}}),
Formats({{a,Format({ dense})},
{B,Format({sparse, dense})}, {c,Format({ dense})}}),
Formats({{a,Format({ dense})},
{B,Format({sparse, sparse})}, {c,Format({ dense})}})
),
{
TestCase({{B, {{{0,0}, 42.0}, {{0,2}, 2.0}, {{1,1}, 3.0}, {{3,3}, 4.0}}},
{c, {{{2}, 1.0}, {{3}, 2.0}}}},
{{a, {{{0}, 2.0}, {{3}, 8.0}}}})
}
)
// Test tensor operations
TEST_STMT(tensor_slicesum,
forall(i,
forall(j,
forall(k,
A(i,j) += T(i,j,k)
))),
Values(
Formats({{A,Format({ dense, dense})}, {T,Format({ dense, dense,dense})}}),
Formats({{A,Format({ dense, dense})}, {T,Format({ dense,sparse,dense})}}),
Formats({{A,Format({ dense, dense})}, {T,Format({sparse, dense,dense})}}),
Formats({{A,Format({ dense, dense})}, {T,Format({sparse,sparse,dense})}}),
Formats({{A,Format({ dense,sparse})}, {T,Format({ dense, dense,dense})}}),
Formats({{A,Format({ dense,sparse})}, {T,Format({ dense,sparse,dense})}}),
Formats({{A,Format({ dense,sparse})}, {T,Format({sparse, dense,dense})}}),
Formats({{A,Format({ dense,sparse})}, {T,Format({sparse,sparse,dense})}}),
Formats({{A,Format({sparse, dense})}, {T,Format({ dense, dense,dense})}}),
Formats({{A,Format({sparse, dense})}, {T,Format({ dense,sparse,dense})}}),
Formats({{A,Format({sparse, dense})}, {T,Format({sparse, dense,dense})}}),
Formats({{A,Format({sparse, dense})}, {T,Format({sparse,sparse,dense})}}),
Formats({{A,Format({sparse,sparse})}, {T,Format({ dense, dense,dense})}}),
Formats({{A,Format({sparse,sparse})}, {T,Format({ dense,sparse,dense})}}),
Formats({{A,Format({sparse,sparse})}, {T,Format({sparse, dense,dense})}}),
Formats({{A,Format({sparse,sparse})}, {T,Format({sparse,sparse,dense})}})
),
{
TestCase({{T, {{{0,0,0},1.0}, {{0,0,1},7.0}, {{0,2,1},5.0}, {{2,0,1},2.0}, {{2,2,0},4.0}, {{2,2,1},8.0}, {{2,3,0},3.0}, {{2,3,1},9.0}}}},
{{A, {{{0,0},8.0}, {{0,2},5.0}, {{2,0},2.0}, {{2,2},12.0}, {{2,3},12.0}}}})
}
)
// Test where statements
TEST_STMT(where_scalar,
where(alpha = beta * delta, delta = zeta + eta),
Values(Formats()),
{
TestCase({{beta, {{{}, 2.0}}},
{zeta, {{{}, 400.0}}},
{eta, {{{}, 5000.0}}}},
{{alpha, {{{}, 10800.0}}}})
}
)
TEST_STMT(where_vector_sum,
where(alpha = t(),
forall(i,
t += b(i))),
Values(Formats({{b,dense}}),
Formats({{b,sparse}})
),
{
TestCase({{b, {{{0}, 1.0}, {{2}, 2.0}, {{3}, 3.0}}}},
{{alpha, {{{}, 6.0}}}})
}
)
TEST_STMT(where_matrix_sum,
where(alpha = ti(),
forall(i,
where(ti += tj(),
forall(j, tj += B(i,j))))),
Values(
Formats({{B,Format({ dense, dense})}}),
Formats({{B,Format({ dense,sparse})}}),
Formats({{B,Format({sparse, dense})}}),
Formats({{B,Format({sparse,sparse})}})
),
{
TestCase({{B, {{{0,0},42.0}, {{0,2},2.0}, {{1,1},3.0}, {{3,3},4.0}}}},
{{alpha, {{{}, 51.0}}}})
}
)
TEST_STMT(where_matrix_vector_mul,
forall(i,
where(a(i) = tj,
forall(j,
tj += B(i,j) * c(j)))),
Values(
Formats({{a,Format({ dense})},
{B,Format({ dense, dense})}, {c,Format({ dense})}}),
Formats({{a,Format({ dense})},
{B,Format({ dense, sparse})}, {c,Format({ dense})}}),
Formats({{a,Format({ dense})},
{B,Format({sparse, dense})}, {c,Format({ dense})}}),
Formats({{a,Format({ dense})},
{B,Format({sparse, sparse})}, {c,Format({ dense})}})
),
{
TestCase({{B, {{{0,0}, 42.0}, {{0,2}, 2.0}, {{1,1}, 3.0}, {{3,3}, 4.0}}},
{c, {{{2}, 1.0}, {{3}, 2.0}}}},
{{a, {{{0}, 2.0}, {{3}, 8.0}}}})
}
)
TEST_STMT(DISABLED_where_spmm,
forall(i,
where(forall(j,
A(i,j) = w(j)),
forall(k,
forall(j,
w(j) += B(i,k) * C(k,j))))),
Values(
// Formats({{A,Format({dense,dense})},
// {B,Format({dense,dense})}, {C,Format({dense,dense})}}),
Formats({{A,Format({dense,sparse})},
{B,Format({dense,sparse})}, {C,Format({dense,sparse})}})
),
{
TestCase({{B, { {{0,1}, 2.0}, {{2,0}, 3.0}, {{2,2}, 4.0}} },
{C, { {{0,0},10.0}, {{0,1}, 20.0}, {{2,1},30.0}} }},
{{A, { {{2,0},30.0}, {{2,1},180.0} }}})
}
)
// Test sequence statements
TEST_STMT(sequence_scalar,
sequence(alpha = beta * delta, alpha += zeta + eta),
Values(Formats()),
{
TestCase({{beta, {{{}, 2.0}}},
{delta, {{{}, 30.0}}},
{zeta, {{{}, 400.0}}},
{eta, {{{}, 5000.0}}}},
{{alpha, {{{}, 5460.0}}}})
}
)
// Test multi statements
TEST_STMT(multi_scalar,
multi(alpha = delta * zeta, beta = zeta + eta),
Values(Formats()),
{
TestCase({{delta, {{{}, 30.0}}},
{zeta, {{{}, 400.0}}},
{eta, {{{}, 5000.0}}}},
{{alpha, {{{}, 12000.0}}},
{beta, {{{}, 5400.0}}}})
}
)
// Test transpose operations
TEST_STMT(matrix_transposed_output,
forall(i,
forall(j,
A(j,i) = -B(i,j)
)),
Values(
Formats({{A,Format({ dense, dense})}, {B,Format({ dense, dense})}}),
Formats({{A,Format({ dense, dense})}, {B,Format({ dense,sparse})}}),
Formats({{A,Format({ dense, dense})}, {B,Format({sparse, dense})}}),
Formats({{A,Format({ dense, dense})}, {B,Format({sparse,sparse})}})
),
{
TestCase({{B, {{{0,0}, 42.0}, {{0,2}, 2.0}, {{1,3}, 3.0}, {{3,2}, 4.0}}}},
{{A, {{{0,0}, -42.0}, {{2,0}, -2.0}, {{2,3}, -4.0}, {{3,1}, -3.0}}}})
}
)
TEST_STMT(matrix_transposed_input,
forall(i,
forall(j,
A(i,j) = B(i,j) + C(j,i)
)),
Values(
Formats({{A,Format({ dense, dense})}, {B,Format({ dense, dense})},
{C,Format({dense,dense})}}),
Formats({{A,Format({ dense,sparse})}, {B,Format({ dense,sparse})},
{C,Format({dense,dense})}}),
Formats({{A,Format({sparse, dense})}, {B,Format({sparse, dense})},
{C,Format({dense,dense})}}),
Formats({{A,Format({sparse,sparse})}, {B,Format({sparse,sparse})},
{C,Format({dense,dense})}})
),
{
TestCase({{B, {{{0,0}, 42.0}, {{0,2}, 2.0}, {{1,3}, 3.0}, {{3,2}, 4.0}}},
{C, {{{0,0}, 42.0}, {{0,2}, 2.0}, {{1,3}, 3.0}, {{3,2}, 4.0}}}},
{{A, {{{0,0}, 84.0}, {{0,2}, 2.0}, {{1,3}, 3.0}, {{2,0}, 2.0}, {{2,3}, 4.0}, {{3,1}, 3.0}, {{3,2}, 4.0}}}})
}
)
// Test broadcast operations
TEST_STMT(broadcast_vector_mul_scalar,
forall(i,
a(i) = beta * c(i)
),
Values(
Formats({{a,dense}, {c,dense}}),
Formats({{a,dense}, {c,sparse}}),
Formats({{a,sparse}, {c,dense}}),
Formats({{a,sparse}, {c,sparse}})
),
{
TestCase({{beta, {{{}, 42.0}}},
{c, {{{0}, 1.0}, {{2}, 2.0}, {{4}, 3.0}}}},
{{a, {{{0}, 42.0}, {{2}, 84.0}, {{4}, 126.0}}}})
}
)
TEST_STMT(broadcast_vector_add_scalar,
forall(i,
a(i) = beta + c(i)
),
Values(
Formats({{a,dense}, {c,dense}}),
Formats({{a,dense}, {c,sparse}}),
Formats({{a,sparse}, {c,dense}}),
Formats({{a,sparse}, {c,sparse}})
),
{
TestCase({{beta, {{{}, 42.0}}},
{c, {{{0}, 1.0}, {{2}, 2.0}, {{4}, 3.0}}}},
{{a, {{{0}, 43.0}, {{1}, 42.0}, {{2}, 44.0},
{{3}, 42.0}, {{4}, 45.0}}}})
}
)
TEST_STMT(broadcast_vector_mul_constant,
forall(i,
a(i) = 42.0 * c(i)
),
Values(
Formats({{a,dense}, {c,dense}}),
Formats({{a,dense}, {c,sparse}}),
Formats({{a,sparse}, {c,dense}}),
Formats({{a,sparse}, {c,sparse}})
),
{
TestCase({{c, {{{0}, 1.0}, {{2}, 2.0}, {{4}, 3.0}}}},
{{a, {{{0}, 42.0}, {{2}, 84.0}, {{4}, 126.0}}}})
}
)
TEST_STMT(broadcast_vector_add_constant,
forall(i,
a(i) = 42.0 + c(i)
),
Values(
Formats({{a,dense}, {c,dense}}),
Formats({{a,dense}, {c,sparse}}),
Formats({{a,sparse}, {c,dense}}),
Formats({{a,sparse}, {c,sparse}})
),
{
TestCase({{c, {{{0}, 1.0}, {{2}, 2.0}, {{4}, 3.0}}}},
{{a, {{{0}, 43.0}, {{1}, 42.0}, {{2}, 44.0},
{{3}, 42.0}, {{4}, 45.0}}}})
}
)
// Test intrinsics
TEST_STMT(vector_mod,
forall(i,
a(i) = mod(b(i), c(i))
),
Values(
Formats({{a,dense}, {b,dense}, {c,dense}}),
Formats({{a,dense}, {b,dense}, {c,sparse}}),
Formats({{a,dense}, {b,sparse}, {c,dense}}),
Formats({{a,dense}, {b,sparse}, {c,sparse}})
),
{
TestCase({{b, {{{0}, 1.0}, {{2}, 2.0}, {{4}, 6.0}}},
{c, {{{0}, 1.0}, {{1}, 2.0}, {{2}, 3.0}, {{3}, 4.0},
{{4}, 5.0}}}},
{{a, {{{2}, 2.0}, {{4}, 1.0}}}})
}
)
TEST_STMT(vector_abs,
forall(i,
a(i) = abs(b(i))
),
Values(
Formats({{a,dense}, {b,dense}}),
Formats({{a,dense}, {b,sparse}})
),
{
TestCase({{b, {{{0}, 1.0}, {{2}, -2.0}, {{4}, -4.0}}}},
{{a, {{{0}, 1.0}, {{2}, 2.0}, {{4}, 4.0}}}})
}
)
TEST_STMT(vector_pow_constant,
forall(i,
a(i) = pow(b(i), 5.0)
),
Values(
Formats({{a,dense}, {b,dense}}),
Formats({{a,dense}, {b,sparse}})
),
{
TestCase({{b, {{{0}, 1.0}, {{2}, -2.0}, {{4}, 1.0}}}},
{{a, {{{0}, 1.0}, {{2}, -32.0}, {{4}, 1.0}}}})
}
)
TEST_STMT(vector_pow_vector,
forall(i,
a(i) = pow(b(i), c(i))
),
Values(
Formats({{a,dense}, {b,dense}, {c,dense}}),
Formats({{a,dense}, {b,dense}, {c,sparse}}),
Formats({{a,dense}, {b,sparse}, {c,dense}}),
Formats({{a,dense}, {b,sparse}, {c,sparse}})
),
{
TestCase({{b, {{{0}, 1.0}, {{2}, 2.0}, {{4}, 4.0}}},
{c, {{{0}, 1.0}, {{1}, 2.0}, {{2}, 3.0}, {{3}, 4.0},
{{4}, 5.0}}}},
{{a, {{{0}, 1.0}, {{2}, 8.0}, {{4}, 1024.0}}}})
}
)
TEST_STMT(vector_square,
forall(i,
a(i) = square(b(i))
),
Values(
Formats({{a,dense}, {b,dense}}),
Formats({{a,dense}, {b,sparse}})
),
{
TestCase({{b, {{{0}, 1.0}, {{2}, -2.0}, {{4}, -4.0}}}},
{{a, {{{0}, 1.0}, {{2}, 4.0}, {{4}, 16.0}}}})
}
)
TEST_STMT(vector_cube,
forall(i,
a(i) = cube(b(i))
),
Values(
Formats({{a,dense}, {b,dense}}),
Formats({{a,dense}, {b,sparse}})
),
{
TestCase({{b, {{{0}, 1.0}, {{2}, -2.0}, {{4}, -4.0}}}},
{{a, {{{0}, 1.0}, {{2}, -8.0}, {{4}, -64.0}}}})
}
)
TEST_STMT(vector_sqrt,
forall(i,
a(i) = sqrt(b(i))
),
Values(
Formats({{a,dense}, {b,dense}}),
Formats({{a,dense}, {b,sparse}})
),