Kiss FFT is a small and simple FFT library. It has no complicated platform-specific optimizations, can do either fixed or floating point with just a recompile, and is efficient enough for all but the most demanding applications.
The CoinUtils project is a collection of open-source utilities developed and used by a variety of other projects in the COIN-OR repository. The project includes classes for storing and manipulating sparse matrices and vectors, performing matrix factorization, parsing input files in standard formats, building representations of mathematical programs, comparing floating point numbers with a tolerance, performing simple presolve operations, and warm starting algorithms for mathematical programs, among others.
This sample displays a basic integer calculator powered
by the 8051 microcontroller. Although Keil C51 has a
full floating point math library the evaluation version
is restricted to 2k of object code, so we have constrained
this sample to integer maths in order to fit within this limit.
The program for this design was written in C using the
Keil uVision 2 IDE for which Proteus VSM provides
a Debug Monitor driver.
Instructions for configuring Proteus to run in conjunction
with the Keil environment can be found by editing the
8051 microcontroller on the schematic (point at it and
press CTRL-E) and then clicking on the help button
on the Edit Component dialogue form.
The GNU MP Bignum Library，非常好用的大數運算庫，GMP is a free library for arbitrary precision arithmetic, operating on signed integers, rational numbers, and floating point numbers.
The DHRY program performs the dhrystone benchmarks on the 8051.
Dhrystone is a general-performance benchmark test originally
developed by Reinhold Weicker in 1984. This benchmark is
used to measure and compare the performance of different
computers or, in this case, the efficiency of the code
generated for the same computer by different compilers.
The test reports general performance in dhrystones per second.
Like most benchmark programs, dhrystone consists of standard
code and concentrates on string handling. It uses no
floating-point operations. It is heavily influenced by
hardware and software design, compiler and linker options,
code optimizing, cache memory, wait states, and integer
data types.
The DHRY program is available in different targets:
Simulator: Large Model: DHRY example in LARGE model
for Simulation
Philips 80C51MX: DHRY example in LARGE model
for the Philips 80C51MC
密碼學界牛人Victor Shoup用C++編寫數論類庫。
NTL is a high-performance, portable C++ library providing data structures and algorithms for arbitrary length integers for vectors, matrices, and polynomials over the integers and over finite fields and for arbitrary precision floating point arithmetic.
NTL provides high quality implementations of state-of-the-art algorithms for:
* arbitrary length integer arithmetic and arbitrary precision floating point arithmetic
* polynomial arithmetic over the integers and finite fields including basic arithmetic, polynomial factorization, irreducibility testing, computation of minimal polynomials, traces, norms, and more
* lattice basis reduction, including very robust and fast implementations of Schnorr-Euchner, block Korkin-Zolotarev reduction, and the new Schnorr-Horner pruning heuristic for block Korkin-Zolotarev
* basic linear algebra over the integers, finite fields, and arbitrary precision floating point numbers.
200-MHz ARM920T Processor
• 16-kbyte Instruction Cache
• 16-kbyte Data Cache
• Linux® , Microsoft® Windows® CE-enabled MMU
• 100-MHz System Bus
• MaverickCrunch™ Math Engine
• Floating Point, Integer, and Signal Processing
Instructions
• Optimized for digital music compression and
decompression algorithms.
• Hardware interlocks allow in-line coding.
• MaverickKey™ IDs
• 32-bit Unique ID can be used for DRM-compliant
128-bit random ID.
• Integrated Peripheral Interfaces
• 32-bit SDRAM Interface
This library defines basic operation on polynomials, and contains also 3 different roots (zeroes)-finding methods that can handle quite large polynomials (>1000 coefs)
Implemented in ANSI C++ Templates. Handles all real and complex floating point types. Html doc is included.
ieee754的標準，原英文版的！Twenty years ago anarchy threatened floating-point arithmetic. Over a dozen commercially significant arithmetics
boasted diverse wordsizes, precisions, rounding procedures and over/underflow behaviors, and more were in the
works. “Portable” software intended to reconcile that numerical diversity had become unbearably costly to
develop.
Thirteen years ago, when IEEE 754 became official, major microprocessor manufacturers had already adopted it
despite the challenge it posed to implementors. With unprecedented altruism, hardware designers had risen to its
challenge in the belief that they would ease and encourage a vast burgeoning of numerical software. They did
succeed to a considerable extent. Anyway, rounding anomalies that preoccupied all of us in the 1970s afflict only
CRAY X-MPs — J90s now.
Topics Practices:
Programming and Numerical Methods
Practice 1: Introduction to C
Practice 2: Cycles and functions
First part cycles
Part Two: Roles
Practice 3 - Floating point arithmetic
Practice 4 - Search for roots of functions
Practice 5 - Numerical Integration
Practice 6 - Arrangements and matrices
Part One: Arrangements
Part II: Matrices
Practice 7 - Systems of linear equations
Practice 8 - Interpolation
Practice 9 - Algorithm Design Techniques
