Delphi Math Resources

Sources of Numerical Analysis Code in Pascal  

by Mark Vaughan
http://www-rab.larc.nasa.gov/nmp/fNMPhome.htm 

• Numerical News
• Books With Example Code in Pascal
• Numerical Methods in Pascal:  Code Downloads and Links

by Glenn Crouch
www.esbconsult.com.au 

• ESBMaths™.  Collection of over 150 Integer and Floating Point Routines for Delphi™ 3, 4 and 5.
• ESBDates™.  Collection of over 200 Date and Time Routines for Borland Delphi to supplement those supplied by SysUtils.
• ESBStats™.  Statistics for Everyone.
• ESB Professional Computation Suite.  ESBPCS is a collection of over 3000 routines/methods for Borland Delphi 4 & 5 and C++ Builder 4 & 5, which are aimed at making "data entry & manipulation easier" for the developer.

Glenn's Math Corner
www.adug.org.au/MathsCorner 

See the Delphi Studio Companion CD for ESBPCS Free Subset for Delphi 7

by  Jean DeBord
www.unilim.fr/pages_perso/jean.debord/tpmath/tpmath.htm

TP Math:  A mathematical library in Pascal for DOS (Turbo Pascal 5.0 or higher), Windows (Delphi 1.0 or higher), and Linux.  This library provides routines and programs for:

JEDI Code Library (JCL)
http://www.delphi-jedi.org/Jedi:JCLDOWNLOADS 

The authors above are the unit authors (when known).  Often other individuals authored routines in these units.

JEDI-Math
http://jedimath.sourceforge.net 
This is a new project to develop an OpenSource mathematical library for Delphi and potentially Kylix.

Mailing list:  http://groups.yahoo.com/group/JEDI-maths 

by Earl F. Glynn
www.efg2.com/Lab 

Pascal Maths Page

by Dr.  J. R. Stockton
www.merlyn.demon.co.uk/pas-math.htm

by Hans Lohninger
www.lohninger.com 

by Robert Lee
www.optimalcode.com 

• Floating Point Optimization Guidelines
• Integer Optimization Guidelines

by Ing.Büro R.Tschaggelar
www.ibrtses.com 

by Ernie Deel
http://efd.home.mindspring.com 

• Hyperstring  includes:
  - Multi-precision string math.  Add, subtract, multiply, divide and compare signed numeric integer strings.
  - Miscellaneous and API related functions, including efficient floating point routines (rounding, comparison) for both scientific and financial apps, and runtime evaluation of mathematical expressions.
• Numerical Accuracy 101 for Delphi Developers
• MRNG a fast BASM implementation of the "Mother-of-all Pseudo Random Number Generators"

by Fedor V.Kozhevnikov, Igor Pavluk, and Serge Korolev
http://www.rxlib.com 

• TCurrencyEdit.  Input of money amounts, and other numbers too.
• TRxCalcEdit and TRxDBCalcEdit (data-aware version) take the display and editing of numeric data one step further: they provide a popup calculator to help you calculate the number.
• TRxDice, TRxCalculator

  Numerics for RAD

by Janez Makovsek and Marjan Slatinek
www.dewresearch.com 

Dew Research introduces, an object oriented library for Delphi Pascal. MtxVec is the first object oriented numerical library available for Delphi and CBuilder users. The library offers top performance not seen in competitive products and features the highest Performance/"Time to implement" ratio of any numerical software available today for personal computers.

Delphi Page

by Rente Schaaf
www.xmission.com/~renates/delphi.html 

TMathImage, TExpress, Surface Plot Collection, D3PlotProject

by Gary Darby
www.delphiforfun.org

• Numeric edit components
• Validating numeric input
• Several math/algorithm programs

Scientific mathematics:  SIMD Introduction

by Dr. Chris Rorden, Department of Psychology, University of Nottingham

Understanding floating point values in a Delphi environment

by Guido Gybels

What Every Computer Scientist Should Know About Floating-Point Arithmetic

by David Goldberg 

A reprint of his article published in the March 1991 issue of ACM Computing Surveys
(Not Delphi specific, but an invaluable resource)

GSL: GNU Scientific Library, www.gnu.org/software/gsl/gsl.html 

Other Links

Delphi

Delphi math articles	"As the Crow Files:  Determining the Shortest Path through a Network" by Rod Stephens in December 1998, Delphi Informant, pp. 34-40,  File:  DI9812RS.ZIP Random Thoughts -- A Look at Generating Random Numbers with Delphi by Keith Wood, March 1997, Delphi Informant, pp. 62-72.
Delphi math components	Many math-related items can be found at the Delphi Super Page http://delphi.icm.edu.pl Mathematics Components and Tools http://delphi.about.com/msubMathematic.htm Torry's site has a number of math-related components, but look for them under "Science".  After Torry's reorganization, and without a search engine, I just dropped all the broken links I had to Torry's site. www.torry.net  Applied Analytic Systems' Components:  TDescStat, TDiscreteSim, TLPSolver, TMLRegress, TSLRegress.  www.aasdt.com/delphi/components.html TMLRegress Tutorial: www.aasdt.com/statistics/mlrtutorial/index.html
Delphi math libraries	EZMath by Robert Bullock. Math processor assembly or Delphi versions of functions Tan, ArcCot, ArcTan2, and Log10. Delphi code for Cot, ArcSin, ArcCsc, ArcCos, ArcSec, Log, Power, EuclideanNorm  http://www.muohio.edu/~bullocrm/ezmath.zip Help floating point math in Delphi.  math10.zip by Ray Lischner.  Floating point comparisons, rounding modes, NANs, Infinity. Floating Point Rounding: SetRoundMode. Floating point comparison functions. (Delphi 1, does not compile in Delphi 3).    http://www.tempest-sw.com/freeware  Select "Delphi components"
Delphi math links	Multiple Regression, Statistical Analysis, TzCalc  www.xs4all.nl/~dgb/delmath.html#C_COMPONENTS Delphi Math Routines www.xs4all.nl/~dgb/delmath.html#R_ROUTINES Numeric Programming / Math www.geocities.com/SiliconValley/2926/tp_2.html#NUMERIC
FFT	Combinazione di G_FFT e G_MATH:  Easy Math & Signal Processing Function Design. http://www.sigma-soft.com or http://www.hallogram.com/g_m_f/math.html (U.S.)
FPlot	Visual component that plots math functions. Includes a quick parser, so formulas are put as strings in a component's property.  Very simple to use.  Full source code. http://delphi.icm.edu.pl/ftp/d30free/fplot.zip
Industrial and Applied Mathematics	http://huizen.dto.tudelft.nl/deBruijn/programs
Intel Math Libraries	Intel Math Kernel Library.  Intel introduced Version 5.0 of MKL in November 2000. http://support.intel.com/support/performancetools/libraries/mkl/index.htm  Delphi interface unit for Version 5.0 MKL by Nick Lea.   Intel Signal Processing Library http://developer.intel.com/software/products/perflib/spl/index.htm  Intel Signal Processing Library V4.1 Delphi interface patch and examples http://home.t-online.de/home/Robert.Rossmair/nsp.htm
NAG DLLs	Calling NAG (Numerical Algorithms Group) DLLs from Delphi www.nag.co.uk/numeric/borlanddelphi.asp G02EEF Example Program Code in Delphi 2.0 www.nag.co.uk/numeric/g02eef.html
Simulation	Delsi.  Discrete-event simulation system implemented as a set of components for Delphi 3.  The system is intended for simulation of queuing systems with a complicated logic.  In combination with Delphi, Delsi gives you very flexible and powerful framework for creation of a wide variety of simulation models, implemented as end products for MS Windows95/NT. www.softland.rv.ua/delsi.htm
Tips	"Math Section" of the Unofficial Delphi Developers FAQ by the Graphical Gnome. Huge Numbers, Number to String, Math Formula evaluator. www.gnomehome.demon.nl/uddf/index.htm

Turbo Pascal

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Updated
27 Aug 2005

since
28 Jan 2001