Last update Mar. 27, 2012

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Welcome to Wolfgang Ehrhardt's (old) home page!

Please note: This site will be available until end of May 2012! The new home page at http://www.wolfgang-ehrhardt.de is fully functional since March 09, 2012.

Please update your links and references!

New CRC/Hash archives are available at http://www.wolfgang-ehrhardt.de/crchash_en.html

Most pages are available in English and German, for navigation or language switching use the top and bottom menus. Please feel free to report bugs in the software or send comments to the e-mail address (listed in mangled form together with my public PGP key at the bottom of this page). Make sure the subject line is related to these pages, e.g. contains CRC/Hash; if you do not get a reply within a few days then retry to send your mail.

Before downloading any software from this site please read this legal notice.

News

Feb. 21, 2012

Updated AMath archive with accompanying introduction and Special Functions Reference Manual with Implementation Notes. There is the new Special Functions unit sfzeta.pas with zeta functions, polylogarithms and related. New functions: DirichletBeta, DirichletLambda, LegendreChi, LerchPhi, polylogr (polylogarithm of real order).
MPArith V1.20.24 with the first release of 64-bit compatible code, fast subquadratic conversion to ansistring, fast AGM based logarithm. The introduction and the t_rcalc calculator are adjusted.
Updated util archive with 64-bit compatibility changes
Version 1.51 of standard include file in std.zip

Jan. 03, 2012

Special Functions units: New modified spherical Bessel functions, primezeta, lnfac; new statistical distributions (binomial, negative binomial, hypergeometric, Poisson, triangular); improved and extended Debye functions.
Unit AMath V1.50 with exp5 and exp7
MPArith V1.19.04 with up to 32640 mp_digits for MP_32BIT and MP_16BIT (i.e. over a million bits per mp_int with DIGIT_BIT = 31), and some minor fixes.
The Compvers V0.24 unit from the util archive supports FPC 2.6.0
Version 1.48 of standard include file in std.zip

Oct. 29, 2011

Special Functions units: Improved lngamma, new function lngamma1p; improved incomplete normalised Beta function, Hurwitz Zeta range extended to 0 <= s < 1;
Unit AMTools with Finite Hilbert Transform and Double Exponential Transformation for automatic quadrature;
Unit AMath V1.49 with fixes for extreme arguments in arccsch, arcsech, arccsc.

Aug. 28, 2011
Updated AMath archive with some minor changes in the Special Functions units:

Extended ranges: reciprocal-modulus transformation in EllipticE, dfac for odd negative n,
Some improvements, e.g. polygamma with hard-coded polynomials for x < 0 and 1 <= n <= 10,
Fix: t_cdf for t>0 and large nu,
Reciprocal gamma function renamed to rgamma (formerly invgamma).

June 26, 2011

MPArith V1.18.07 with additional mp_float functions (mpf_arcgd, mpf_archav, mpf_coshm1, mpf_gd, mpf_hav, mpf_lambertw, mpf_sinc) and improved mpf_tanh
Unit AMath V1.46 with new (DegToRad, Hex2Dbl, Hex2Ext, Hex2Sgl, hypot3, RadToDeg) and improved (covers, coshm1, vers) functions
New Special functions: comp_ellint_1/2/3, ein, ellint_1/2/3, erfce, heuman_lambda, jacobi_am, jacobi_arcsn/cn/dn, jacobi_sn/cn/dn, jacobi_zeta

May 27, 2011

New special functions: Struve functions (H0, H1, L0, and L1), Jacobi theta functions, elliptic modulus, and elliptic nome
Unit AMath V1.39 with improved argument reduction functions rem_pio2 and rem_2pi
The Compvers V0.23 unit from the util archive supports FPC 2.4.4

Apr. 26, 2011

AMath V1.36: Accurate geometric functions (angle2, area_triangle, in_triangle, orient2)
Special functions units: Zero order Kelvin functions (ber, bei, ker, kei) and additional statistical distributions (Cauchy, exponential, Laplace, logistic, lognormal, normal, Pareto, uniform, Weibull)

Mar. 28, 2011

Unit AMTools with new procedures for adaptive numerical integration of one-dimensional functions over finite or infinite intervals
Three new functions (isign, RandG, RandG01) in the AMath V1.33 unit

Feb. 24, 2011

New secure hash algorithms SHA-512/224 and SHA-512/256 on the CRC/Hash page.
Unit AMath V1.31 with with additional trigonometric (arcgd, archav, covers, gd, hav, vers) and ulp functions; new special functions (Goodwin-Staton integral, imaginary error function, RiemannR, expint3).

Jan. 28, 2011

AMath V1.24 with many new single functions, RoundingMode-safe exp, exp3, exp10, and arccos.
Updated or removed some links

Jan. 04, 2011

Updated AMath archive: Polygamma, polylogarithms, Debye functions, binomial coefficients, and more in the Special functions units
MPArith V1.17.06 with RSASSA-PKCS1-V1_5 signature generation/verification and some minor changes

Dec. 19, 2010
Changes on the CRC/Hash page:

New HKDF Key Derivation Function according to RFC 5869
Updated information about Hash/HMAC/KDF routines
User-requested CRC-16/Sick algorithm
Updated demo programs (source and binary)

Nov. 25, 2010

Updated AMath archive: Bessel functions of real order, spherical Bessel functions, Airy functions in the Special functions units.
The Compvers V0.22 unit from the util archive supports FPC 2.4.2
Version 1.46 of standard include file in std.zip

Oct. 26, 2010
Updated AMath archive:

AMath unit: Type definitions for AMTools functions and compatible int, frac, arctan, sqrt; statistical moments, skewness, and kurtosis of vectors.
Special functions: Hurwitz zeta function, Pochhammer symbol, gamma ratios and double factorial; sfPoly unit implementing orthogonal polynomials and related.
New AMTools unit for root finding, function minimization, and quadratic equations solving.

Oct. 08, 2010

New AES_GCM unit implementing Galois/Counter mode
Updated Mem_Util V0.99 unit

Sep. 19, 2010
Updated AMath archive:

AMath unit: Significantly improved accuracy for the power function; more accurate ln1pmx; new exp2m1; bugfix versions of frac, int, trunc for Delphi 2-5 and FPC 1
Special functions: Old unit sfCommon split into several new units; improved argument checking and NAN/INF handling; new Gamma related functions (normalised incomplete gamma functions and inverse, Temme's gammastar, trigamma, Dirichlet eta) and statistical distribution functions (pdf, cdf, and inverse cdf for gamma and chi-square distribution)

Aug. 20, 2010

All block ciphers now support longint message lengths in encrypt/decrypt routines and CTR mode seek functions for random access reads
New AES PPP unit (Perfect Paper Passwords)
Updated Mem_Util V0.98 unit with CompMemXL and RandMemXL

July 26, 2010

MPArith V1.16.08 implements functions for decomposition of mp_ints into four squares, a bit table for the constant exp(1), and includes the updated introduction.
The AMath archive contains special cases for elementary transcendental functions, many new statistic functions, and additional special functions (pdf, cdf, and inverse cdf for beta distribution, F distribution, and Student's t distribution). The separate introduction is updated.

June 30, 2010

AES counter mode supports user-requested seek function for random access reads
Updated standard include file in std.zip

May 27, 2010

MPArith V1.15.17 with alternative output format for mp_floats and variable separators for fractional parts and function arguments
AMath archive with Fresnel integrals and Lambert W functions

Apr. 25, 2010

AMath archive: New special functions (Bessel functions of integer order; cin, cinh, cl2, ti2, fac, gamma1pm1) and elementary functions (exp3, ln1pmx, sinc, sincPi, rem_2pi, rem_2pi_sym)
Updated standard include file in std.zip

Mar. 26, 2010

AMath archive: Additional special functions (chi, ci, dawson, dilog, erfc_inv, erf_inv, shi, si, ssi) and elementary functions (CSEvalX, maxd/x, mind/x)
Changes on the CRC/Hash page:
- New CRC model parameters in crcm_cat unit and updated demo programs
- New user-requested HOTP unit: HMAC-SHA1 based One-Time Password Algorithm according to RFC 4226
- SHA1 fix for Virtual Pascal
Contributed and user-requested ChaCha functions in the Salsa20 archive

Feb. 24, 2010

AMath archive: New special functions (exponential and logarithmic integrals, Riemann zeta function) and elementary functions (cbrt, nroot, sqrt1pm1)
MPArith V1.14.06 implements user-requested radix values up to 64, a few new mp_float functions, and the updated introduction

Jan. 30, 2010
AMath archive with separate introduction:

New Special Functions units for double and extended precision
Quadsolv V0.26 uses the updated AMath unit

More news (2003 - 2009)

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