The IMSL Libraries are a comprehensive set of mathematical and statistical functions that programmers can embed into their software applications. The libraries save development time by providing optimized mathematical and statistical algorithms that can be embedded into C, C++, .NET, Java™ and Fortran applications, enhancing return on investment and programmer productivity. The IMSL Libraries can also be used from Python using PyIMSL Studio or the PyIMSL wrappers. Beyond choice of programming language, the IMSL Libraries are supported across a wide range of hardware and operating system environments including Windows, Linux, Apple and many UNIX platforms.

Functional areas included in the IMSL Numerical Libraries

C / C++ Numerical Library
Embeddable Numerical Analysis Functions for C/C++ Applications
The IMSL C Numerical Library provides advanced mathematical and statistical functionality for programmers to embed in their existing or new applications. Written in standard C, the IMSL C Library can be embedded into any C or C++ application as well as any existing application that can reference a C library.

Using PyIMSL, developers also have the option to write programs in Python that leverage algorithms in the IMSL C Library. PyIMSL is a collection of Python wrappers to the mathematics and statistical algorithms in the IMSL C Library and is available either as a separate download or as part of the PyIMSL Studio product.

Fortran Numerical Library
Embeddable Numerical Analysis Functions for Fortran Applications
The IMSL Fortran Numerical Library is the standard for high performance computing commercial mathematics and statistics libraries, providing:

• Superior accuracy and reliability through 40 years of refinement
• A comprehensive set of 1000+ algorithms
• Supporting parallel processing architectures since 1990
• Evolves easily with software and hardware upgrades
• Easier use of popular open source technology

Java™ Numerical Library
Advanced Numerical Analysis and Charting for Java
JMSL Library The JMSL Numerical Library is the broadest collection of mathematical, statistical, financial, data mining and charting classes available in 100% Java. It is the only Java programming solution that combines integrated charting with the reliable mathematical and statistical functionality of the industry-leading IMSL® Numerical Library algorithms. This blend of advanced numerical analysis and visualization on the Java platform allows organizations to gain insight into valuable data and share analysis results across the enterprise quickly.

C# & .NET Numerical Library
Advanced Numerical Analysis
As the only numerical library of its kind to offer unprecedented analytic capabilities and charting, the IMSL .NET / C# Numerical Library can be referenced from any .NET Framework language including C#, F# and Visual Basic .NET. Version 6.5 of the IMSL .NET / C# Numerical Libraries provides the most comprehensive, high-performing and accessible mathematical, statistical and financial algorithms for the .NET Framework and Microsoft Silverlight.
 

PV-WAVE

Array-based language

• Loosely-typed and extensible 4GL with an interactive command line interface to an event-driven interpreter
• Commands can be interactively interpreted or compiled into programs
• Sessions can be saved and restored
• Support for functions, subroutines, global, and local variables
• Complete set of data types for constants and variables (byte, integer, long integer, floating point, complex, double precision, double precision complex, string, date/time) in a variety of structures (scalar, array, table, structure, list, associative array)
• Arrays of up to eight dimensions
• Operators work on both scalars and arrays
• Looping and branching constructs
• Arrays can be subscripted conventionally or subscripted with other arrays
• Execute commands contained in strings
• Debugging utilities
• Powerful and convenient array creation/manipulation functions
• Complete set of utilities for processing string and date/time variables
• Trap and handle errors
• SQL-like query functions for tables
• Context-sensitive online help
• Full online documentation set

Numerics

• Operators (array-enabled): numeric, relational, Boolean
• Common functions (array-enabled): abs, min, max, trigonometric, hyperbolic, and more
• Special functions (array-enabled): Bessel, error, gamma, and more
• Tensor functions: generalized tensor products, traces, transpositions
• Filters: multidimensional, convolution, parametric, polynomial, relational, Boolean
• Linear systems: inversion, determinants, decomposition, roots, least-squares, full and sparse matrix support, generalized eigensystems
• Nonlinear equations: systems, roots of polynomials, and functions
• Transforms: Laplace, multidimensional FFT
• Quadrature: multivariate differentiation and integration
• Differential equations: systems, ODEs, PDEs
• Optimization: multivariate, linear and nonlinear, constrained and unconstrained
• Interpolation and approximation: multidimensional gridding, n-linear interpolation, multivariate polynomials, multivariate splines
• Regression: multivariate, linear, polynomial, nonlinear
• Basic statistics: simple summary statistics, histograms, nonparametric statistics, goodness-of-fit tests, tabulation, sorting, ranking
• Correlation and covariance
• Analysis of variance
• Categorical and discrete data analysis
• Time series and forecasting: autocorrelation, autoregression, lack-of-fit, GARCH
• Multivariate cluster and factor analysis
• Survival analysis
• Probability distribution functions and random number generation

Graphics

• Plotting: 2D and 3D line, 2D and 3D scatter, 2D and 3D vector, 2D and 3D bar, 2D and 3D contours, meshed and shaded surfaces
• Basic image processing: equalize, scale, shrink, expand, warp, zoom, pan, copy, rotate, threshold, profile, smooth, convolve, erode, and dilate images; filters (predefined and user-defined); define and analyze irregular regions of interest; algebraic operations; 3D projection
• Animation
• Polygonal rendering: 3D mesh generation, iso-surfaces, light source control
• Volume rendering: isosurfaces, opacity, diffusivity, shading, slicing, light source control
• Mapping: comprehensive geopolitical world database; wide variety of projections; overlay lines, images, contours, and vectors; support for user-supplied databases and projections
• Annotation: flexible axis, line and symbol styles; scalable/rotatable software/hardware fonts
• Comprehensive colortable control
• 3D view control
• VRML support

Data import / export

• Formatted and unformatted read/write, XDR read/write, HDF read/write, HDF5 read/write, powerful ASCII read/write, XML, 8- and 24-bit image import/export (support for wide variety of image formats)

Open architecture

• Spawn sub-tasks, transfer data via bi-directional pipes
• Call PV-WAVE from a C or Fortran program
• Call C or Fortran code from PV-WAVE
• Communicate between PV-WAVE and another application via remote procedure calls
• Create an optional PV-WAVE module using the options programming interface

Graphical user interface development

• Comprehensive set of high-level and low-level widgets
• Resource file support and string services

Visual data analysis tools

• Super-widgets allow non-programmers to do animation, image analysis, line plots, scatter plots, surface plots, contour plots, histogram plots, color table manipulation, variable manipulation, and data import/export

Signal processing toolkit

• Filter analysis: complex frequency response, analog and digital transfer functions
• Classical filter design: bilinear transform, windowed FIR and IIR
• Advanced filter design: least squares and optimal FIR and IIR
• Multirate filter functions: decimation, interpolation, quadrature
• Filter realization: FIR/IIR causal and anticausal, multi-rate
• Statistical signal processing: filter design, Toeplitz matrix factorization, autocorrelation
• Transforms and spectral analysis: spectogram, power spectrum analysis, wavelet transforms
• Polynomial manipulation: spectral factorization, stabilization, algebraic operations
• Specialized plotting routines: zero-pole plot of filter, comb plot of digital signal

Advanced image processing toolkit

• Graphical user interface (GUI)
• Image file formats: import/export, most common formats
• Support for multi-layered images, volumes, signals, animation, and regions of interest
• Point operations: algebraic, Boolean, trigonometric, logarithmic, thresholding, slicing
• General filtering: edge, noise removal/generation, linear (convolutions, user-defined)
• Advanced filtering: spatial (nonlinear, adaptive), frequency (butterworth, ideal, and more)
• Morphological image processing: erode/dilate, open/close, outline, skeletonize
• Mensuration: shape (moments, major axis, perimeter), statistical, distance mapping
• Representation and description: histograms, spatial/spectral textural analysis
• Image transforms: FFT, DCT, PCT, Hough, Slant, Radon, Wavelet
• Geometric transforms: scale, rotate, translate, interactive warp
• Color: linear and nonlinear conversions between grayscale and 8-bit/24-bit color
• Classification and segmentation

Database connection toolkit

• Direct link between Oracle, Sybase, or ODBC database
• Use standard SQL syntax to interactively open, query, subset, sort, and filter null values
• Support for multi-row fetches with adjustable row counts for Oracle and Sybase connections
• User control over commits and rollbacks for ODBC connection

TotalView for HPC

Prevent execution, memory, and data issues by using this highly-scalable, graphical debugger built specifically for troubleshooting massively parallel, multi-threaded, multi-process applications for high performance computing (HPC) environments.

Dynamic Analysis and Debugging of Complex Code 
TotalView for HPC is a debugging software designed for high-performance computing (HPC) environments. TotalView enables faster fault isolation, improved memory optimization, and dynamic visualization for your high-scale HPC apps. TotalView understands high-scale parallel and multicore applications, with unprecedented control over processes and thread execution and visibility into program states and data.

Reproduce Difficult Problems Quickly
With TotalView for HPC, simultaneous debug many processes and threads in a single window to get complete control over program execution: Running, stepping, and halting line-by-line through code within a single thread or arbitrary groups of processes or threads. Work backwards from failure through reverse debugging, isolating the root cause faster by eliminating repeated restarts of the application. Reproduce difficult problems that occur in concurrent programs that use threads, OpenMP, MPI, CUDA, and GPUs, or coprocessors. Debug autonomous machine applications running on the NVIDIA Jetson AGX Xavier ARM/Volta GPU platform.

No More Memory Leaks or Deadlocks 
Memory leaks, deadlocks, and race conditions can be things of the past. Whether an experienced developer or new to the development challenges of multicore or parallel applications, TotalView finds errors quickly, validates prototypes, verifies calculations, and certifies code correctness.

Debugging in C/C++ and Python
Easily analyze and debug multi-language applications written in both Python and C/C++ by seeing an integrated cell stack and easily examining variables in both sets of languages.

Seamless Integration and Support 
TotalView works with C, C++, and Fortran applications written for Linux (including the Cray and Blue Gene platforms), Linux PowerLE, UNIX, Mac OS X, and Xeon Phi, and supports OpenMP, MPI, OpenPOWER, OpenACC / CUDA and ARM.