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#include <cblas.h>
#include <cmath>
#include <halide_blas.h>
#include <iomanip>
#include <iostream>
#include <limits>
#include <random>
#include <string>
#define RUN_TEST(method) \
std::cout << std::setw(30) << ("Testing " #method ": ") << std::flush; \
if (test_##method(N)) { \
std::cout << "PASSED\n"; \
} else { \
std::cout << "FAILED\n"; \
}
#define L1_VECTOR_TEST(method, code) \
bool test_##method(int N) { \
Scalar alpha = random_scalar(); \
Vector ex(random_vector(N)); \
Vector ey(random_vector(N)); \
Vector ax(ex), ay(ey); \
\
{ \
Scalar *x = &(ex[0]); \
Scalar *y = &(ey[0]); \
cblas_##code; \
} \
\
{ \
Scalar *x = &(ax[0]); \
Scalar *y = &(ay[0]); \
hblas_##code; \
} \
\
return compareVectors(N, ey, ay); \
}
#define L1_SCALAR_TEST(method, code) \
bool test_##method(int N) { \
Scalar alpha = random_scalar(); \
Vector ex(random_vector(N)); \
Vector ey(random_vector(N)); \
Vector ax(ex), ay(ey); \
Scalar er, ar; \
\
{ \
Scalar *x = &(ex[0]); \
Scalar *y = &(ey[0]); \
er = cblas_##code; \
} \
\
{ \
Scalar *x = &(ax[0]); \
Scalar *y = &(ay[0]); \
ar = hblas_##code; \
} \
\
return compareScalars(er, ar); \
}
#define L2_TEST(method, cblas_code, hblas_code) \
bool test_##method(int N) { \
Scalar alpha = random_scalar(); \
Scalar beta = random_scalar(); \
Vector ex(random_vector(N)); \
Vector ey(random_vector(N)); \
Matrix eA(random_matrix(N)); \
Vector ax(ex), ay(ey); \
Matrix aA(eA); \
\
{ \
Scalar *x = &(ex[0]); \
Scalar *y = &(ey[0]); \
Scalar *A = &(eA[0]); \
cblas_code; \
} \
\
{ \
Scalar *x = &(ax[0]); \
Scalar *y = &(ay[0]); \
Scalar *A = &(aA[0]); \
hblas_code; \
} \
\
return compareVectors(N, ey, ay); \
}
#define L3_TEST(method, cblas_code, hblas_code) \
bool test_##method(int N) { \
Scalar alpha = random_scalar(); \
Scalar beta = random_scalar(); \
Matrix eA(random_matrix(N)); \
Matrix eB(random_matrix(N)); \
Matrix eC(random_matrix(N)); \
Matrix aA(eA), aB(eB), aC(eC); \
\
{ \
Scalar *A = &(eA[0]); \
Scalar *B = &(eB[0]); \
Scalar *C = &(eC[0]); \
cblas_code; \
} \
\
{ \
Scalar *A = &(aA[0]); \
Scalar *B = &(aB[0]); \
Scalar *C = &(aC[0]); \
hblas_code; \
} \
\
return compareMatrices(N, eC, aC); \
}
template<class T>
struct BLASTestBase {
typedef T Scalar;
typedef std::vector<T> Vector;
typedef std::vector<T> Matrix;
std::random_device rand_dev;
std::default_random_engine rand_eng;
BLASTestBase()
: rand_eng(rand_dev()) {
}
Scalar random_scalar() {
std::uniform_real_distribution<T> uniform_dist(0.0, 1.0);
return uniform_dist(rand_eng);
}
Vector random_vector(int N) {
Vector buff(N);
for (int i = 0; i < N; ++i) {
buff[i] = random_scalar();
}
return buff;
}
Matrix random_matrix(int N) {
Matrix buff(N * N);
for (int i = 0; i < N * N; ++i) {
buff[i] = random_scalar();
}
return buff;
}
bool compareScalars(Scalar x, Scalar y, Scalar epsilon = 32 * std::numeric_limits<Scalar>::epsilon()) {
if (x == y) {
return true;
} else {
const Scalar min_normal = std::numeric_limits<Scalar>::min();
Scalar ax = std::abs(x);
Scalar ay = std::abs(y);
Scalar diff = std::abs(x - y);
bool equal = false;
if (x == 0.0 || y == 0.0 || diff < min_normal) {
equal = diff < (epsilon * min_normal);
} else {
equal = diff / (ax + ay) < epsilon;
}
if (!equal) {
std::cerr << "FAIL! expected = " << x << ", actual = " << y << "\n";
}
return equal;
}
}
bool compareVectors(int N, const Vector &x, const Vector &y,
Scalar epsilon = 16 * std::numeric_limits<Scalar>::epsilon()) {
bool equal = true;
for (int i = 0; i < N; ++i) {
if (!compareScalars(x[i], y[i], epsilon)) {
std::cerr << "Vectors differ at index: " << i << "\n";
equal = false;
break;
}
}
return equal;
}
bool compareMatrices(int N, const Matrix &A, const Matrix &B,
Scalar epsilon = 16 * std::numeric_limits<Scalar>::epsilon()) {
bool equal = true;
for (int i = 0; i < N * N; ++i) {
if (!compareScalars(A[i], B[i], epsilon)) {
std::cerr << "Matrices differ at coords: (" << i % N << ", " << i / N << ")\n";
equal = false;
break;
}
}
return equal;
}
};
struct BLASFloatTests : public BLASTestBase<float> {
void run_tests(int N) {
RUN_TEST(scopy);
RUN_TEST(sscal);
RUN_TEST(saxpy);
RUN_TEST(sdot);
RUN_TEST(sasum);
RUN_TEST(sgemv_notrans);
RUN_TEST(sgemv_trans);
RUN_TEST(sger);
RUN_TEST(sgemm_notrans);
RUN_TEST(sgemm_transA);
RUN_TEST(sgemm_transB);
RUN_TEST(sgemm_transAB);
}
L1_VECTOR_TEST(scopy, scopy(N, x, 1, y, 1))
L1_VECTOR_TEST(sscal, sscal(N, alpha, y, 1))
L1_VECTOR_TEST(saxpy, saxpy(N, alpha, x, 1, y, 1))
L1_SCALAR_TEST(sdot, sdot(N, x, 1, y, 1))
L1_SCALAR_TEST(sasum, sasum(N, x, 1))
L2_TEST(sgemv_notrans,
cblas_sgemv(CblasColMajor, CblasNoTrans, N, N, alpha, A, N, x, 1, beta, y, 1),
hblas_sgemv(HblasColMajor, HblasNoTrans, N, N, alpha, A, N, x, 1, beta, y, 1));
L2_TEST(sgemv_trans,
cblas_sgemv(CblasColMajor, CblasTrans, N, N, alpha, A, N, x, 1, beta, y, 1),
hblas_sgemv(HblasColMajor, HblasTrans, N, N, alpha, A, N, x, 1, beta, y, 1));
L2_TEST(sger,
cblas_sger(CblasColMajor, N, N, alpha, x, 1, y, 1, A, N),
hblas_sger(HblasColMajor, N, N, alpha, x, 1, y, 1, A, N));
L3_TEST(sgemm_notrans,
cblas_sgemm(CblasColMajor, CblasNoTrans, CblasNoTrans, N, N, N, alpha, A, N, B, N, beta, C, N),
hblas_sgemm(HblasColMajor, HblasNoTrans, HblasNoTrans, N, N, N, alpha, A, N, B, N, beta, C, N));
L3_TEST(sgemm_transA,
cblas_sgemm(CblasColMajor, CblasTrans, CblasNoTrans, N, N, N, alpha, A, N, B, N, beta, C, N),
hblas_sgemm(HblasColMajor, HblasTrans, HblasNoTrans, N, N, N, alpha, A, N, B, N, beta, C, N));
L3_TEST(sgemm_transB,
cblas_sgemm(CblasColMajor, CblasNoTrans, CblasTrans, N, N, N, alpha, A, N, B, N, beta, C, N),
hblas_sgemm(HblasColMajor, HblasNoTrans, HblasTrans, N, N, N, alpha, A, N, B, N, beta, C, N));
L3_TEST(sgemm_transAB,
cblas_sgemm(CblasColMajor, CblasTrans, CblasTrans, N, N, N, alpha, A, N, B, N, beta, C, N),
hblas_sgemm(HblasColMajor, HblasTrans, HblasTrans, N, N, N, alpha, A, N, B, N, beta, C, N));
};
struct BLASDoubleTests : public BLASTestBase<double> {
void run_tests(int N) {
RUN_TEST(dcopy);
RUN_TEST(dscal);
RUN_TEST(daxpy);
RUN_TEST(ddot);
RUN_TEST(dasum);
RUN_TEST(dgemv_notrans);
RUN_TEST(dgemv_trans);
RUN_TEST(dger);
RUN_TEST(dgemm_notrans);
RUN_TEST(dgemm_transA);
RUN_TEST(dgemm_transB);
RUN_TEST(dgemm_transAB);
}
L1_VECTOR_TEST(dcopy, dcopy(N, x, 1, y, 1))
L1_VECTOR_TEST(dscal, dscal(N, alpha, y, 1))
L1_VECTOR_TEST(daxpy, daxpy(N, alpha, x, 1, y, 1))
L1_SCALAR_TEST(ddot, ddot(N, x, 1, y, 1))
L1_SCALAR_TEST(dasum, dasum(N, x, 1))
L2_TEST(dgemv_notrans,
cblas_dgemv(CblasColMajor, CblasNoTrans, N, N, alpha, A, N, x, 1, beta, y, 1),
hblas_dgemv(HblasColMajor, HblasNoTrans, N, N, alpha, A, N, x, 1, beta, y, 1));
L2_TEST(dgemv_trans,
cblas_dgemv(CblasColMajor, CblasTrans, N, N, alpha, A, N, x, 1, beta, y, 1),
hblas_dgemv(HblasColMajor, HblasTrans, N, N, alpha, A, N, x, 1, beta, y, 1));
L2_TEST(dger,
cblas_dger(CblasColMajor, N, N, alpha, x, 1, y, 1, A, N),
hblas_dger(HblasColMajor, N, N, alpha, x, 1, y, 1, A, N));
L3_TEST(dgemm_notrans,
cblas_dgemm(CblasColMajor, CblasNoTrans, CblasNoTrans, N, N, N, alpha, A, N, B, N, beta, C, N),
hblas_dgemm(HblasColMajor, HblasNoTrans, HblasNoTrans, N, N, N, alpha, A, N, B, N, beta, C, N));
L3_TEST(dgemm_transA,
cblas_dgemm(CblasColMajor, CblasTrans, CblasNoTrans, N, N, N, alpha, A, N, B, N, beta, C, N),
hblas_dgemm(HblasColMajor, HblasTrans, HblasNoTrans, N, N, N, alpha, A, N, B, N, beta, C, N));
L3_TEST(dgemm_transB,
cblas_dgemm(CblasColMajor, CblasNoTrans, CblasTrans, N, N, N, alpha, A, N, B, N, beta, C, N),
hblas_dgemm(HblasColMajor, HblasNoTrans, HblasTrans, N, N, N, alpha, A, N, B, N, beta, C, N));
L3_TEST(dgemm_transAB,
cblas_dgemm(CblasColMajor, CblasTrans, CblasTrans, N, N, N, alpha, A, N, B, N, beta, C, N),
hblas_dgemm(HblasColMajor, HblasTrans, HblasTrans, N, N, N, alpha, A, N, B, N, beta, C, N));
};
int main(int argc, char *argv[]) {
BLASFloatTests s;
BLASDoubleTests d;
if (argc > 1) {
for (int i = 1; i < argc; ++i) {
int size = std::stoi(argv[i]);
std::cout << "Testing halide_blas with N = " << size << ":\n";
s.run_tests(size);
d.run_tests(size);
}
} else {
int size = 768;
std::cout << "Testing halide_blas with N = " << size << ":\n";
s.run_tests(size);
d.run_tests(size);
}
std::cout << "Success!\n";
}
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