Editing 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): [http://reproducibility.org/RSF/sfspike.html spike]
* Mathematical operations on data files: [http://reproducibility.org/RSF/sfmath.html math]
* Add, multiply, or divide  RSF datasets: [http://reproducibility.org/RSF/sfadd.html add]
* Add, multiply, or divide  RSF datasets (fast, OMP-enabled): [http://reproducibility.org/RSF/sfparadd.html paradd]
* Create a mask: [http://reproducibility.org/RSF/sfmask.html mask]
* Scale data: [http://reproducibility.org/RSF/sfscale.html scale]
* Rotate a portion of one or more axes in the data hypercube: [http://reproducibility.org/RSF/sfrotate.html rotate]
* Zero a portion of the dataset: [http://reproducibility.org/RSF/sfcut.html cut]
* Extend a dataset by duplicating in the specified axis dimension: [http://reproducibility.org/RSF/sfspray.html spray]

==Complex number operations==
* Convert real data to complex (by adding zero imaginary part): [http://reproducibility.org/RSF/sfrtoc.html rtoc]
* Extract real part of a complex dataset: [http://reproducibility.org/RSF/sfreal.html real]
* Extract imaginary part of a complex dataset: [http://reproducibility.org/RSF/sfreal.html imag]
* Create a complex dataset from its real and imaginary parts: [http://reproducibility.org/RSF/sfcmplx.html cmplx]

=Statistical operations on files=
==Single-file==
* Display dataset attributes: [http://reproducibility.org/RSF/sfattr.html attr]
* 1-D histogram: [http://reproducibility.org/RSF/sfhistogram.html histogram]
* Computes what clip value corresponds to a given pclip: [http://reproducibility.org/RSF/sfquantile.html quantile]
* Clip the data: [http://reproducibility.org/RSF/sfclip.html clip]
* One- or two-sided data clipping: [http://reproducibility.org/RSF/sfclip2.html clip2]
* Percentile clip: [http://reproducibility.org/RSF/sfpclip.html pclip]
* Threshold float/complex inputs given a constant/varying threshold level: [http://reproducibility.org/RSF/sfthr.html thr]
* Soft thresholding: [http://reproducibility.org/RSF/sfthreshold.html threshold]
* Construct incremental minimum or maximum lists from an RSF file: [http://reproducibility.org/RSF/sflistminmax.html listminmax]
* Sort a float/complex vector by absolute values: [http://reproducibility.org/RSF/sfsort.html sort]

==Multi-file==
* Element by element minimum or maximum of two RSF files: [http://reproducibility.org/RSF/sfminmax.html minmax]
* Similarity measure between two datasets: [http://reproducibility.org/RSF/sfsimilarity.html similarity]
* 2-D histogram (inputs from 2 files): [http://reproducibility.org/RSF/sfhist2.html hist2]

= Mathematics algorithms =

==Basic mathematical processes==

* Causal integration on the first axis: [http://reproducibility.org/RSF/sfcausint.html causint]
* Derivative along the first axis: [http://reproducibility.org/RSF/sfigrad.html igrad]
* Fast Fourier Transform along the first axis (from real to complex): [http://reproducibility.org/RSF/sffft1.html fft1]
* FFT transform on extra axis (from complex to complex): [http://reproducibility.org/RSF/sffft1.html fft3]
* 3D FFT with centering and Hermitian scaling: [http://reproducibility.org/RSF/sffft1.html fft3d]
* Frequency spectra: [http://reproducibility.org/RSF/sfspectra.html spectra]
* Frequency spectra in 2-D: [http://reproducibility.org/RSF/sfspectra2.html spectra2]
* 1-D Digital Wavelet Transform: [http://reproducibility.org/RSF/sfdwt.html dwt]
* Multi-dimensional cosine transform: [http://reproducibility.org/RSF/sfcosft.html cosft]

==Linear Algebra==

* Simple matrix multiplication: [http://reproducibility.org/RSF/sfmatmult.html matmult]
* Simple matrix multiplication for complex matrices: [http://reproducibility.org/RSF/sfcmatmult.html cmatmult]
* Find eigenvalues and eigenvectors of a symmetric positive definite matrix: [http://reproducibility.org/RSF/sfdmeig.html dmeig]
* Kroneker product with square matrices: [http://reproducibility.org/RSF/sfkron.html kron]
* Generic conjugate-gradient solver for linear inversion: [http://reproducibility.org/RSF/sfconjgrad.html conjgrad]
* Generic dot-product test for linear operators with adjoints: [http://reproducibility.org/RSF/sfdottest.html dottest]
* Generic conjugate-gradient solver for linear inversion with complex data: [http://reproducibility.org/RSF/sfcconjgrad.html cconjgrad]
* Generic dot-product test for complex linear operators with adjoints: [http://reproducibility.org/RSF/sfcdottest.html cdottest]
* Stack a dataset over one of the dimensions: [http://reproducibility.org/RSF/sfstack.html stack]
* Transpose two axes in a dataset: [http://reproducibility.org/RSF/sftransp.html transp]

== Interpolation ==
* 1-D ENO (Essentiallly Non Oscillatory) interpolation: [http://reproducibility.org/RSF/sfremap1.html remap1]
* 1-D sinc interpolation: [http://reproducibility.org/RSF/sfsinc.html sinc]