test.jl

Most functions in PosDefManifold are tested, both for real and complex data input. This unit declares the function testall() that performs all tests.

Some functions are fully tested, the others are just executed. Unce you ran it, for each method of each function, a ⭐ sign is printed if the test is succesful, while a ⛔ sign is printed if the test is not succesful. A ☆ sign is printed if the function has been executed correctly.

Tests on functions for which a multi-threated version exist are indicated by symbol ( ⏩ ).

If there are fails, the concerned functions will be listed as warnings.

Note that the first time you execute the test it will take some time as the code will be compiled.

This here below is the output of the testall() function (v0.5.2) run on the 11th of May 2025:

⭐ PosDefManifold testing utility⭐

Starting tests...

• Unit 'linearAlgebra.jl'

typeofMatrix: ☆ dim: ☆ det1: ⭐ ⭐ tr1: ⭐ ⭐ nearestPosDef: ☆ ☆ normalizeCol!: ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ispos: ⭐ ⭐ colProd: ⭐ ⭐ ⭐ ⭐ colNorm: ⭐ ⭐ sumOfSqr: ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ sumOfSqrDiag: ⭐ ⭐ ⭐ sumOfSqrTril: ⭐ ⭐ tr: ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ quadraticForm: ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ fidelity: ☆ ☆ fDiag: ⭐ DiagOfProd: ⭐ ⭐ mgs: ⭐ ⭐ fVec: ⭐ ⭐ ⭐ ⭐ congruence (I): ⭐ congruence (II): ⭐ congruence (III): ⭐ congruence (IV): ⭐ evd: ⭐ ⭐ frf: ⭐ ⭐ invfrf: ⭐ ⭐ spectralFunctions: ☆ ☆ ☆ pow: ⭐ ⭐ ⭐ invsqrt: ⭐ ⭐ ⭐ sqr: ⭐ ⭐ ⭐ powerIterations: ⭐ ⭐ ⭐ ⭐ ⭐ choL: ⭐ ⭐ ⭐ choInv: ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐

• Unit 'signalProcessing.jl'

randλ: ☆ randΛ: ☆ ☆ randU: ⭐ ⭐ randP: ☆ ☆ regularize!: ⭐ ⭐ ⭐ ⭐ gram: ☆ ☆ trade: ☆ ☆

• Unit 'riemannianGeometry.jl'

geodesic: ☆ ☆ ☆ distanceSqr (I): ☆ ☆ ☆ ☆ distanceSqr (II): ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ distanceSqr (III): ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ distance (I): ☆ ☆ ☆ ☆ distance (II): ☆ ☆ distanceSqrMat (I): ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ distanceSqrMat (I ⏩ ): ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ distanceSqrMat (II): ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ distanceSqrMat (II ⏩ ):⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ distanceMat (I): ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ distanceMat (I ⏩ ): ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ distanceMat (II): ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ distanceMat (II ⏩ ): ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ laplacian: ☆ laplacianEigenMaps: ☆ spectralEmbedding: ☆ mean (I): ☆ ☆ ☆ ☆ ☆ mean (II): ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ mean (⏩ ): ☆ ☆ means: ☆ ☆ ☆ means (⏩ ): ☆ ☆ ☆ generalizedMean: ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ ⭐ generalizedMean: ☆ ☆ ☆ ☆ ☆ ☆ geometricMean(⏩ ): ☆ ☆ ☆ ☆ ☆ ☆ geometricMean: ☆ ☆ ☆ ☆ ☆ ☆ logdet0Mean: ⭐ ⭐ ⭐ ⭐ ⭐ logdet0Mean(⏩ ): ☆ ☆ ☆ ☆ ☆ ☆ wasMean(⏩ ): ☆ ☆ ☆ ☆ ☆ ☆ wasMean: ☆ ☆ ☆ ☆ ☆ ☆ powerMean(⏩ ): ☆ ☆ ☆ ☆ ☆ ☆ powerMean(⏩ ): ☆ ☆ ☆ ☆ ☆ ☆ logMap: ☆ ☆ expMap: ☆ ☆ vecP: ☆ ☆ matP: ☆ ☆ procrustes: ⭐ ⭐

• Unit 'statistics.jl'

softmax: ⭐ mean (scalar version): ☆ std (scalar version): ☆

Info: All tests were succesful!