Major Function Groups Quick Reference

Quick reference of the most common MtxVec function groups organized by category. Features column: SSE = SIMD vectorized, SMP = multithreaded, RCX = mixed real/complex.

Basic vector math (class: TMtxVec — works on any vector or matrix):

Function	Formula	Features
Abs	a[i] = abs(b[i])	SSE
Add	a[i] = b[i] + c[i]	SSE, RCX
Sub	a[i] = b[i] - c[i]	SSE, RCX
Mul	a[i] = b[i] * c[i]	SSE, RCX
Divide	a[i] = b[i] / c[i]	SSE, RCX
Sin, Cos, Tan	trig functions	SSE, SMP
Exp, Exp2, Exp10	exponentials	SSE, SMP
Ln, Log2, Log10, LogN	logarithms	SSE, SMP
Sqrt, Sqr	square root, square	SSE, SMP
Power, IntPower	a[i] = b[i]^c	SSE, SMP
Sum, Mean, Min, Max	scalar reductions	SSE
Product	product of all elements	SSE
DotProd	S = Sum(a[i]*b[i])	SSE
Inv, InvSqrt	1/x, 1/sqrt(x)	SSE, SMP

Statistical (class: TDenseMtxVec): StdDev, Variance, RMS, Kurtosis, Skewness, Mean

Complex number operations (class: TMtxVec): Expj, Conj, ConjMul, RealPart, ImagPart, CplxToReal, RealToCplx, ExtendToComplex, CartToPolar, PolarToCart, PhaseSpectrum, PowerSpectrum

FFT (class: TDenseMtxVec/TVec/TMtx):

Function	Description	Features
FFT/IFFT	Complex-to-complex DFT	SSE, SMP
FFTFromReal	Real-to-complex (2x faster)	SSE, SMP
IFFTToReal	Complex-to-real (2x faster)	SSE, SMP
FFT2D	2D FFT on matrix	SSE, SMP
DCT/IDCT	Discrete cosine transform	SSE

Linear algebra (class: TMtx):

Function	Description	Features
LUSolve	Solve A*X = B	SSE, SMP
LQRSolve	Least squares solution	SSE, SMP
SVDSolve	SVD-based solution	SSE, SMP
Eig, EigGen	Eigenvalues/vectors	SSE, SMP
SVD	Singular value decomposition	SSE, SMP
LU, Cholesky, LQR	Matrix factorizations	SSE, SMP
Inverse, Determinant	Matrix inverse/det	SSE, SMP
Transp, Adjung	Transpose, adjungate	SSE

Matrix operations (class: TMtx): Diag, Eye, Concat, Kron, Rotate90, SetCol/SetRow, SumCols/SumRows, MeanCols/MeanRows, Norm1/NormFro/NormInf, Toeplitz, VanderMond, Pascl