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Working on breaking up the steps into manageable chunks

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Cynopolis
2026-08-17 15:33:33 -04:00
parent 6f91c96de8
commit f12625b41e
5 changed files with 1116 additions and 237 deletions
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unit-tests/matrix-tests.cpp
+28 -28
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@@ -390,7 +390,7 @@ TEST_CASE("Identity Matrix", "Matrix") {
if (oneColumnIndex == column) {
REQUIRE_THAT(value, Catch::Matchers::WithinRel(1.0f, 1e-6f));
} else {
REQUIRE_THAT(value, Catch::Matchers::WithinRel(0.0f, 1e-6f));
REQUIRE_THAT(value, Catch::Matchers::WithinAbs(0.0f, 1e-6f));
}
}
oneColumnIndex++;
@@ -407,7 +407,7 @@ TEST_CASE("Identity Matrix", "Matrix") {
if (oneColumnIndex == column && row < 3) {
REQUIRE_THAT(value, Catch::Matchers::WithinRel(1.0f, 1e-6f));
} else {
REQUIRE_THAT(value, Catch::Matchers::WithinRel(0.0f, 1e-6f));
REQUIRE_THAT(value, Catch::Matchers::WithinAbs(0.0f, 1e-6f));
}
}
oneColumnIndex++;
@@ -423,7 +423,7 @@ TEST_CASE("Identity Matrix", "Matrix") {
if (oneColumnIndex == column) {
REQUIRE_THAT(value, Catch::Matchers::WithinRel(1.0f, 1e-6f));
} else {
REQUIRE_THAT(value, Catch::Matchers::WithinRel(0.0f, 1e-6f));
REQUIRE_THAT(value, Catch::Matchers::WithinAbs(0.0f, 1e-6f));
}
}
oneColumnIndex++;
@@ -519,7 +519,7 @@ TEST_CASE("QR Decompositions", "Matrix") {
// check that all R values are correct
REQUIRE_THAT(R[0][0], Catch::Matchers::WithinRel(3.16228f, 1e-4f));
REQUIRE_THAT(R[0][1], Catch::Matchers::WithinRel(4.42719f, 1e-4f));
REQUIRE_THAT(R[1][0], Catch::Matchers::WithinRel(0.0f, 1e-4f));
REQUIRE_THAT(R[1][0], Catch::Matchers::WithinAbs(0.0f, 1e-4f));
REQUIRE_THAT(R[1][1], Catch::Matchers::WithinRel(0.63246f, 1e-4f));
}
@@ -635,7 +635,7 @@ TEST_CASE("Eigenvalues and Vectors", "Matrix") {
REQUIRE_THAT(vectors[1][0], Catch::Matchers::WithinRel(0.525322f, 1e-4f));
REQUIRE_THAT(vectors[2][0], Catch::Matchers::WithinRel(0.81867f, 1e-4f));
REQUIRE_THAT(values[0][0], Catch::Matchers::WithinRel(-1.11684f, 1e-4f));
REQUIRE_THAT(values[1][0], Catch::Matchers::WithinRel(0.0f, 1e-4f));
REQUIRE_THAT(values[1][0], Catch::Matchers::WithinAbs(0.0f, 1e-4f));
REQUIRE_THAT(values[2][0], Catch::Matchers::WithinRel(16.1168f, 1e-4f));
}
}
@@ -753,14 +753,14 @@ TEST_CASE("SVD: Simple 2x2 Matrix", "Matrix") {
REQUIRE(isSortedDescending(sigma, 2));
// Verify U is orthogonal: UᵀU ≈ I
REQUIRE_THAT(orthogonalityError(U), Catch::Matchers::WithinRel(0.0f, 1e-4f));
REQUIRE_THAT(orthogonalityError(U), Catch::Matchers::WithinAbs(0.0f, 1e-4f));
// Verify Vt is orthogonal: VtVᵀ ≈ I
REQUIRE_THAT(orthogonalityError(Vt), Catch::Matchers::WithinRel(0.0f, 1e-4f));
REQUIRE_THAT(orthogonalityError(Vt), Catch::Matchers::WithinAbs(0.0f, 1e-4f));
// Verify reconstruction: A ≈ U Σ Vᵀ
float reconErr = svdReconstructionError(A, U, sigma, Vt);
REQUIRE_THAT(reconErr, Catch::Matchers::WithinRel(0.0f, 1e-4f));
REQUIRE_THAT(reconErr, Catch::Matchers::WithinAbs(0.0f, 1e-4f));
}
TEST_CASE("SVD: Symmetric Positive Definite 2x2", "Matrix") {
@@ -777,7 +777,7 @@ TEST_CASE("SVD: Symmetric Positive Definite 2x2", "Matrix") {
// For symmetric PD matrices, U ≈ V (up to sign)
float reconErr = svdReconstructionError(A, U, sigma, Vt);
REQUIRE_THAT(reconErr, Catch::Matchers::WithinRel(0.0f, 1e-4f));
REQUIRE_THAT(reconErr, Catch::Matchers::WithinAbs(0.0f, 1e-4f));
}
TEST_CASE("SVD: Full-Rank 3x3 Matrix", "Matrix") {
@@ -797,11 +797,11 @@ TEST_CASE("SVD: Full-Rank 3x3 Matrix", "Matrix") {
Catch::Matchers::WithinRel(0.1968665211f, 1e-4f));
REQUIRE(isSortedDescending(sigma, 3));
REQUIRE_THAT(orthogonalityError(U), Catch::Matchers::WithinRel(0.0f, 1e-4f));
REQUIRE_THAT(orthogonalityError(Vt), Catch::Matchers::WithinRel(0.0f, 1e-4f));
REQUIRE_THAT(orthogonalityError(U), Catch::Matchers::WithinAbs(0.0f, 1e-4f));
REQUIRE_THAT(orthogonalityError(Vt), Catch::Matchers::WithinAbs(0.0f, 1e-4f));
float reconErr = svdReconstructionError(A, U, sigma, Vt);
REQUIRE_THAT(reconErr, Catch::Matchers::WithinRel(0.0f, 1e-3f));
REQUIRE_THAT(reconErr, Catch::Matchers::WithinAbs(0.0f, 1e-3f));
}
TEST_CASE("SVD: Rank-Deficient 3x3 Matrix", "Matrix") {
@@ -821,7 +821,7 @@ TEST_CASE("SVD: Rank-Deficient 3x3 Matrix", "Matrix") {
REQUIRE(sigma.Get(2, 0) < 1e-3f);
float reconErr = svdReconstructionError(A, U, sigma, Vt);
REQUIRE_THAT(reconErr, Catch::Matchers::WithinRel(0.0f, 1e-3f));
REQUIRE_THAT(reconErr, Catch::Matchers::WithinAbs(0.0f, 1e-3f));
}
TEST_CASE("SVD: Diagonal 3x3 Matrix", "Matrix") {
@@ -837,7 +837,7 @@ TEST_CASE("SVD: Diagonal 3x3 Matrix", "Matrix") {
REQUIRE_THAT(sigma.Get(2, 0), Catch::Matchers::WithinRel(2.0f, 1e-4f));
float reconErr = svdReconstructionError(A, U, sigma, Vt);
REQUIRE_THAT(reconErr, Catch::Matchers::WithinRel(0.0f, 1e-4f));
REQUIRE_THAT(reconErr, Catch::Matchers::WithinAbs(0.0f, 1e-4f));
}
TEST_CASE("SVD: Tall Matrix (4×3)", "Matrix") {
@@ -858,10 +858,10 @@ TEST_CASE("SVD: Tall Matrix (4×3)", "Matrix") {
REQUIRE(sigma.Get(2, 0) < 1e-3f);
// U should be 4×3 with orthonormal columns
REQUIRE_THAT(orthogonalityError(U), Catch::Matchers::WithinRel(0.0f, 1e-3f));
REQUIRE_THAT(orthogonalityError(U), Catch::Matchers::WithinAbs(0.0f, 1e-3f));
float reconErr = svdReconstructionError(A, U, sigma, Vt);
REQUIRE_THAT(reconErr, Catch::Matchers::WithinRel(0.0f, 1e-3f));
REQUIRE_THAT(reconErr, Catch::Matchers::WithinAbs(0.0f, 1e-3f));
}
TEST_CASE("SVD: Wide Matrix (3×5)", "Matrix") {
@@ -882,10 +882,10 @@ TEST_CASE("SVD: Wide Matrix (3×5)", "Matrix") {
REQUIRE(sigma.Get(2, 0) < 1e-3f);
// Vt should be 5×5 with orthonormal rows (first k)
REQUIRE_THAT(orthogonalityError(Vt), Catch::Matchers::WithinRel(0.0f, 1e-3f));
REQUIRE_THAT(orthogonalityError(Vt), Catch::Matchers::WithinAbs(0.0f, 1e-3f));
float reconErr = svdReconstructionError(A, U, sigma, Vt);
REQUIRE_THAT(reconErr, Catch::Matchers::WithinRel(0.0f, 1e-3f));
REQUIRE_THAT(reconErr, Catch::Matchers::WithinAbs(0.0f, 1e-3f));
}
TEST_CASE("SVD: 5×5 Symmetric Tridiagonal", "Matrix") {
@@ -908,11 +908,11 @@ TEST_CASE("SVD: 5×5 Symmetric Tridiagonal", "Matrix") {
Catch::Matchers::WithinRel(0.2679491924f, 1e-4f));
REQUIRE(isSortedDescending(sigma, 5));
REQUIRE_THAT(orthogonalityError(U), Catch::Matchers::WithinRel(0.0f, 1e-3f));
REQUIRE_THAT(orthogonalityError(Vt), Catch::Matchers::WithinRel(0.0f, 1e-3f));
REQUIRE_THAT(orthogonalityError(U), Catch::Matchers::WithinAbs(0.0f, 1e-3f));
REQUIRE_THAT(orthogonalityError(Vt), Catch::Matchers::WithinAbs(0.0f, 1e-3f));
float reconErr = svdReconstructionError(A, U, sigma, Vt);
REQUIRE_THAT(reconErr, Catch::Matchers::WithinRel(0.0f, 1e-3f));
REQUIRE_THAT(reconErr, Catch::Matchers::WithinAbs(0.0f, 1e-3f));
}
TEST_CASE("SVD: Non-Square with Negative Values (2×3)", "Matrix") {
@@ -931,7 +931,7 @@ TEST_CASE("SVD: Non-Square with Negative Values (2×3)", "Matrix") {
Catch::Matchers::WithinRel(0.6646227432f, 1e-4f));
float reconErr = svdReconstructionError(A, U, sigma, Vt);
REQUIRE_THAT(reconErr, Catch::Matchers::WithinRel(0.0f, 1e-4f));
REQUIRE_THAT(reconErr, Catch::Matchers::WithinAbs(0.0f, 1e-4f));
}
TEST_CASE("SVD: Near-Singular 2×2 Matrix", "Matrix") {
@@ -948,7 +948,7 @@ TEST_CASE("SVD: Near-Singular 2×2 Matrix", "Matrix") {
REQUIRE_THAT(sigma.Get(1, 0), Catch::Matchers::WithinRel(1e-6f, 1e-2f));
float reconErr = svdReconstructionError(A, U, sigma, Vt);
REQUIRE_THAT(reconErr, Catch::Matchers::WithinRel(0.0f, 1e-6f));
REQUIRE_THAT(reconErr, Catch::Matchers::WithinAbs(0.0f, 1e-6f));
}
TEST_CASE("SVD: Orthogonal Matrix (3×3)", "Matrix") {
@@ -968,7 +968,7 @@ TEST_CASE("SVD: Orthogonal Matrix (3×3)", "Matrix") {
REQUIRE_THAT(sigma.Get(2, 0), Catch::Matchers::WithinRel(1.0f, 1e-4f));
float reconErr = svdReconstructionError(A, U, sigma, Vt);
REQUIRE_THAT(reconErr, Catch::Matchers::WithinRel(0.0f, 1e-4f));
REQUIRE_THAT(reconErr, Catch::Matchers::WithinAbs(0.0f, 1e-4f));
}
TEST_CASE("SVD: Identity Matrix", "Matrix") {
@@ -984,7 +984,7 @@ TEST_CASE("SVD: Identity Matrix", "Matrix") {
REQUIRE_THAT(sigma.Get(2, 0), Catch::Matchers::WithinRel(1.0f, 1e-4f));
float reconErr = svdReconstructionError(A, U, sigma, Vt);
REQUIRE_THAT(reconErr, Catch::Matchers::WithinRel(0.0f, 1e-6f));
REQUIRE_THAT(reconErr, Catch::Matchers::WithinAbs(0.0f, 1e-6f));
}
TEST_CASE("SVD: Zero Matrix", "Matrix") {
@@ -1000,7 +1000,7 @@ TEST_CASE("SVD: Zero Matrix", "Matrix") {
REQUIRE(sigma.Get(2, 0) < 1e-6f);
float reconErr = svdReconstructionError(A, U, sigma, Vt);
REQUIRE_THAT(reconErr, Catch::Matchers::WithinRel(0.0f, 1e-6f));
REQUIRE_THAT(reconErr, Catch::Matchers::WithinAbs(0.0f, 1e-6f));
}
TEST_CASE("SVD: 2×1 Column Vector", "Matrix") {
@@ -1016,7 +1016,7 @@ TEST_CASE("SVD: 2×1 Column Vector", "Matrix") {
REQUIRE_THAT(sigma.Get(0, 0), Catch::Matchers::WithinRel(5.0f, 1e-4f));
float reconErr = svdReconstructionError(A, U, sigma, Vt);
REQUIRE_THAT(reconErr, Catch::Matchers::WithinRel(0.0f, 1e-4f));
REQUIRE_THAT(reconErr, Catch::Matchers::WithinAbs(0.0f, 1e-4f));
}
TEST_CASE("SVD: 1×2 Row Vector", "Matrix") {
@@ -1032,5 +1032,5 @@ TEST_CASE("SVD: 1×2 Row Vector", "Matrix") {
REQUIRE_THAT(sigma.Get(0, 0), Catch::Matchers::WithinRel(5.0f, 1e-4f));
float reconErr = svdReconstructionError(A, U, sigma, Vt);
REQUIRE_THAT(reconErr, Catch::Matchers::WithinRel(0.0f, 1e-4f));
REQUIRE_THAT(reconErr, Catch::Matchers::WithinAbs(0.0f, 1e-4f));
}