// Copyright © 2024 Apple Inc. #include "doctest/doctest.h" #include "mlx/mlx.h" using namespace mlx::core; TEST_CASE("test einsum path") { std::vector> expected = {{1, 2}, {0, 1}}; auto path = einsum_path("ij,jk,kl", {ones({2, 2}), ones({2, 4}), ones({4, 2})}).first; CHECK_EQ(path, expected); expected = {{0}}; path = einsum_path("jki", {ones({2, 3, 4})}).first; CHECK_EQ(path, expected); expected = {{0, 1}}; path = einsum_path("i,i", {ones({2}), ones({1})}).first; CHECK_EQ(path, expected); expected = {{0, 1}}; path = einsum_path("ij,jk", {ones({2, 2}), ones({2, 2})}).first; CHECK_EQ(path, expected); expected = {{0, 1}}; path = einsum_path("ijk,jil->kl", {ones({3, 4, 5}), ones({4, 3, 2})}).first; CHECK_EQ(path, expected); expected = {{0, 3}, {1, 3}, {0, 2}, {0, 1}}; path = einsum_path( "ijk,ilm,njm,nlk,abc->", {ones({2, 6, 8}), ones({2, 4, 5}), ones({3, 6, 5}), ones({3, 4, 8}), ones({9, 4, 7})}) .first; CHECK_EQ(path, expected); expected = {{0, 2}, {0, 3}, {0, 2}, {0, 1}}; path = einsum_path( "ea,fb,abcd,gc,hd->efgh", {ones({10, 10}), ones({10, 10}), ones({10, 10, 10, 10}), ones({10, 10}), ones({10, 10})}) .first; CHECK_EQ(path, expected); } TEST_CASE("test einsum") { CHECK_THROWS(einsum("i,j", {array({1.0})})); CHECK_THROWS(einsum("ijk", {full({2, 2}, 2.0f)})); CHECK_THROWS(einsum("", {})); CHECK_THROWS(einsum("ij", {array({1, 2})})); CHECK_THROWS(einsum("", {array({1, 2})})); CHECK_THROWS(einsum("i,ij", {array({1, 2}), array({2, 3})})); CHECK_THROWS(einsum("i,i", {array({1, 2}), array({2, 3, 4})})); CHECK_THROWS(einsum("i->ii", {array({1, 2})})); CHECK_THROWS(einsum("12", {zeros({4, 4})})); CHECK_THROWS(einsum("ii->i", {zeros({3, 2})})); auto x = einsum("jki", {full({2, 3, 4}, 3.0f)}); auto expected = full({4, 2, 3}, 3.0f); CHECK_EQ(allclose(x, expected).item(), true); x = einsum("ij,jk->ik", {full({2, 2}, 2.0f), full({2, 2}, 3.0f)}); expected = array({12.0f, 12.0f, 12.0f, 12.0f}, {2, 2}); CHECK_EQ(allclose(x, expected).item(), true); x = einsum("i,j->ij", {full({2}, 15.0f), full({4}, 20.0f)}); expected = full({2, 4}, 300.0f); CHECK_EQ(allclose(x, expected).item(), true); }