NM task-centric program program list

List of Numerical Methods programs in Madagascar. An overview of all task-centric pages can be found in the main Task-centric program list.

All program names below should be prefixed with "sf".

Operation on file content

• Generate simple data (spikes, boxes, planes, constants): spike
• Mathematical operations on data files: math
• Add, multiply, or divide RSF datasets: add
• Add, multiply, or divide RSF datasets (fast, OMP-enabled): paradd
• Create a mask: mask
• Scale data: scale
• Rotate a portion of one or more axes in the data hypercube: rotate
• Zero a portion of the dataset: cut
• Extend a dataset by duplicating in the specified axis dimension: spray

Complex number operations

• Convert real data to complex (by adding zero imaginary part): rtoc
• Extract real part of a complex dataset: real
• Extract imaginary part of a complex dataset: imag
• Create a complex dataset from its real and imaginary parts: cmplx

Statistical operations on files

Single-file

• Display dataset attributes: attr
• 1-D histogram: histogram
• Computes what clip value corresponds to a given pclip: quantile
• Clip the data: clip
• One- or two-sided data clipping: clip2
• Percentile clip: pclip
• Threshold float/complex inputs given a constant/varying threshold level: thr
• Soft thresholding: threshold
• Construct incremental minimum or maximum lists from an RSF file: listminmax
• Sort a float/complex vector by absolute values: sort

Multi-file

• Element by element minimum or maximum of two RSF files: minmax
• Similarity measure between two datasets: similarity
• 2-D histogram (inputs from 2 files): hist2

Mathematics algorithms

Basic mathematical processes

• Causal integration on the first axis: causint
• Derivative along the first axis: igrad
• Fast Fourier Transform along the first axis (from real to complex): fft1
• FFT transform on extra axis (from complex to complex): fft3
• 3D FFT with centering and Hermitian scaling: fft3d
• Frequency spectra: spectra
• Frequency spectra in 2-D: spectra2
• 1-D Digital Wavelet Transform: dwt
• Multi-dimensional cosine transform: cosft

Linear Algebra

• Simple matrix multiplication: matmult
• Simple matrix multiplication for complex matrices: cmatmult
• Find eigenvalues and eigenvectors of a symmetric positive definite matrix: dmeig
• Kroneker product with square matrices: kron
• Generic conjugate-gradient solver for linear inversion: conjgrad
• Generic dot-product test for linear operators with adjoints: dottest
• Generic conjugate-gradient solver for linear inversion with complex data: cconjgrad
• Generic dot-product test for complex linear operators with adjoints: cdottest
• Stack a dataset over one of the dimensions: stack
• Transpose two axes in a dataset: transp

Interpolation

• 1-D ENO (Essentiallly Non Oscillatory) interpolation: remap1
• 1-D sinc interpolation: sinc