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News

More news (2003 – 2013)

  • Unit AMath V2.42 with
    the new functions: Total variance tvar/x, signalling NaNs;
    changed: Bitmask names of single exceptions compatible to DAMath.
  • Special Functions V1.50.18
    with the new functions:
    Euler polynomials, Bessel polynomials, logarithm of Barnes G,
    exponential integral beta, incomplete gamma function igamma(n,x),
    partial x-derivative of P(a,x);
    changed functions:
    Exponential integral E_n for n <0 and x > 0,
    implemented max. iteration check in some elliptic integral functions,
    fix return type of M_EllipticPiC, more NaN/Inf checks.
  • Updated multi precision arithmetic package MPArith 1.38.10 with

  • AMath archive including
    unit AMath V2.38 with
    SafeDivX (safe division), CoeffVar/X (coefficient of variation),
    interfaced sqr12x; improved intpower.
    Special Functions V1.49.03
    with relative exponential of order n, hypergeometric function 2F0.
  • 64-bit compatible DAMath archive with
    the units DAMath V1.06,
    Special Functions V1.34.02,
    and an improved PurePascal version.
    of ldexpd.
  • Util and
    std.zip archives with the standard include file std.inc V1.70,
    defining HAS_FP_CAST (typecast for floating point available, e.g. double(1)).
  • New functions:
    Simulated ASX for 64-bit, const PINC for default precision elevation;
  • Changed functions:
    frexpx/ldxepx only if not EXT64, prime32 uses doubles,
    mpf_??_ext changed to mpf_??_dbl, mpc_??_ext changed to mpc_??_dbl,
    s_mp_ln/log2 return double;
  • Other: some manual precision adjustments.
  • The basic introduction and the multi precision
    calculators t_calc and
    t_rcalc are updated.
  • New functions: mp_reverse (reverse mp_int in any base),
    mpf_cell1, mpf_cell2, mp_calc (with _EE, _EK, _ASS)
  • Changed functions: Renamed mp_base.mp_reverse to s_mp_reverse
  • Other: mp_calc with input in base 2 .. MaxRadix
  • Bugfix: s_mpr_cmp_mag if a=0
  • Updated AMath archive and accompanying introduction:

  • The 64-bit compatible DAMath archive with
    the units DAMath V1.00,
    DAMCmplx V0.56,
    DAMTools V0.46,
    and Special Functions V1.32.07
    has essentially the same updates as AMath. Unit DAMath additionally
    contains a bug-free frac function for FPC 3.1.1/64-bit.

  • Note for FreePascal users:
    The errors with FPC 3.1.1-r20:38296_[2018/02/21] are corrected: The bad FPC design decision to evaluate constants like 2.0/9.0 in single precision,
    is fixed by using integer(!) quotients like 2/9 (hoping this will stay correct in future versions).
    The broken frac function for 64-bit will be fixed in upcoming FPC snapshots
    (see https://bugs.freepascal.org/view.php?id=33635),
    until then DAMath defines its own frac function for FPC64/311.
  • Some broken links in the basic MPArith introduction
    are fixed.
  • Special Functions V1.47.15
    with the new functions:
    Weierstrass elliptic functions and inverses,
    Klein invariant, modular lambda function,
    Mathematica style incomplete elliptic integrals;
    changed functions:
    sfc_el2 is computed with Carlson functions,
    changed argument check in sfc_ell_rd;
  • Units
    AMath V2.29,
    AMCmplx V0.97, and
    AMTools V0.45
    contain fixes for problems with FPC 3.1.1.
  • AMath archive with
    Special Functions V1.46.15
    (new functions: Integrals of zero-order Bessel functions,
    EllipticPiCim (for imaginary modulus), Mathematica style complete elliptic
    integrals, Neville theta functions, inverse lemniscate functions;
    changed functions: comp_ellint_b/d and EllipticPiC for |k| ≥ 1,
    fixed Nakagami distribution return types in specfun),
    unit AMCmplx V0.95
    with the new Riemann-Siegel theta and the
    reciprocal gamma function.
  • 64-bit compatible DAMath archive
    with DAMCmplx V0.54
    and Special Functions V1.31.07.
  • AMath archive
    with unit AMath V2.28
    and the new procedure CSEvalXDer (evaluate Chebyshev sum and derivative);
    Special Functions V1.45.11
    with the new functions:
    Bose-Einstein integrals,
    inverse Langevin function,
    inverse tangent integral of real order,
    Rogers-Ramanujan continued fraction;
    changed functions:
    LegendreChi for |x| > 1,
    LerchPhi for z < -1,
    polylogarithms of real order for x > 1.
  • 64-bit compatible DAMath archive with
    unit DAMath V0.99,
    and Special Functions V1.30.11.
  • AMath with
    unit AMath V2.26
    (types for functions with pointer to parameters);
    Special Functions V1.44.17
    (new: Owen’s T function, inverse RiemannR, inverse erfce, Einstein functions,
    transport integrals, Fermi-Dirac functions of real order;
    changed; Polylogarithms (integer order for x > 1, real order for x < -1),
    improved RiemannR, and other changes in erf_p, erf_q, Debye functions, Struve H_v(x)).
    Unit AMTools V0.44 with the
    new procedures intde_p and intdei_p (parameter pointer versions
    of the double exponential integration routines) and PolyRootsOA (open array version).
  • 64-bit compatible DAMath archive with
    DAMath V0.97,
    DAMTools V0.45,
    and Special Functions V1.29.18.
  • User-requested unit
    BJL3
    which implements Bob Jenkins‘ non-cryptographic
    hash function lookup3 (which is used in Delphi’s system.hash unit);
  • Another user-request: The [hash]file functions take a string as
    file name parameter type (str255 was a relict from
    older versions which had DLL compatible functions).
  • Another pseudo random number generator: Well1024a by
    F. Panneton, P. L’Ecuyer and M. Matsumoto;
  • Functions rangel/w for random longint/word in range 0..range-1 for all generators;
  • Unit pasrand with TP/Delphi compatible LC generator and common random functions;
  • New archive layout: tests subdirectory, more test, AES/Salsa functions
    included.
  • Faster 32/64-bit Blake2b compress
    routines from EddyHawk, speed-up for 16-bit and non-int64 compilers,
    now available for all compilers;
  • Faster Blake2s
    16-bit compress routines;
  • The CRC/Hash demo programs
    are recompiled to use the faster Blake2b algorithms.
  • User-requested Blake2b hash functions
    (supported for TP6/7, D2-D7/D9-D10/D12/D17-D18/D25S, FPC, VP),
  • Fast Blake2s 32/64-bit
    compression function contributed by EddyHawk,
  • The CRC/Hash demo programs
    use the new Blake2b algorithms, GCH and CCH are compiled with Delphi 6 / FPC 3.0.0.
  • Compvers
    V0.38 unit (basic support for FPC 3.0.4)
  • Small FPC/ARM-WinCE adjustments for
    Dates V0.38,
    TSC V0.44
  • Unit AMath V2.24 with the new
    accurate helper function fma_x to compute a*b + c; old non-BASM code was removed.
  • Special Functions V1.42.01
    with the new exponentially scaled exponential integral eisx2; the domain
    of the Goodwin-Staton integral gsi was extended to negative arguments.
  • AMCmplx V0.92
    with LambertW function for all branches.
  • New unit AMQuat V0.19 with
    quaternionic arithmetic and elementary transcendental functions.
  • New functions: mp_digitsum, mp_is_lpsp, mp_is_slpsp, mp_is_psp,
    mp_is_psp_d, mp_nextpower/_ex, s_mp_is_lpsp
  • Changed functions: mp_is_slpsp with standard Selfridge A parameters,
    old function renamed to mp_is_slpsp_alt
  • Other:
    mp_calc with digitsum, nextpower, psp; extended help with ?? for t_calc;
    radix command for t_calc and t_rcalc
  • New functions: mp_fact_swing, mp_swing and from AMath/fdamsupp:
    mpf_arccosd, mpf_arccotcd, mpf_arccotd, mpf_arcsind, mpf_arctand,
    mpf_cbrt, mpf_cosd, mpf_cospi, mpf_cotd, mpf_deg2rad, mpf_rad2deg,
    mpf_rem,2pi, mpf_sind, mpf_sinpi, mpf_tand, mpf_tanpi
  • Changed functions: mp_fact: check n ≤ MaxFact; mp_types: no threadvar for FPC1.0.10/Win32
  • AMath archive
    with unit AMath V2.16:
    accurate helper functions lncosh, lnsinh, some polynomial routines
    (PolEvalC, PolEvalDeriv, PolEvalCHEDer), tanPi, pow1pf.
    Special Functions V1.40.07
    with q-Pochhammer Euler function, Dedekind eta for imaginary
    arguments, complete elliptic integrals K and E for k>1.
    AMTools V0.37 with the new
    PolyRoots
    procedure to find the real and complex roots of a polynomial up to
    degree 20 using a companion matrix method, balancing, and the QR
    algorithm for the eigenvalues of an upper Hessenberg matrix.
  • 64-bit compatible DAMath archive with
    unit DAMath V0.90,
    DAMTools V0.38,
    Special Functions V1.25.04.
  • Fully integrated
    Blake2s hash functions. The source
    in the archive should be compatible with units/applications that do not
    expect the old values of MaxOIDLen or C_HashVers.
    All CRC and
    FCA/FZCA demo programs programs compile without changes.
  • New Rocksoft parameter records (total 100)
  • The CRC/Hash demo programs
    support the new Blake2s algorithms and Rocksoft parameters.
  • Combined HMAC test program
  • Tested with Raspberry Pi 3 and Delphi 25 (Tokyo starter)
  • and more …
  • The 64-bit compatible DAMath functions
    now support Raspberry Pi 3. There are no changes in the DAMath units,
    some error bounds in the test files have been adjusted for FPC/ARM with
    Raspberry Pi, results from FPC 3.0.2 are now included in the test suite.
  • Multi precision arithmetic package MPArith 1.34.02 with

  • Updated Util archive with

  • New functions: mp_is_pcarmichael, mp_is_pcarmichael_ex
  • Changed functions: mp_calc uses mp_is_pcarmichael
  • Other: Some broken links in mp_rsa are corrected;
    time hint for CPUARM in help for t_calc and t_rcalc
  • Compvers V0.37 unit (support for
    Delphi 25 VER320/’Tokyo‘ and FPC 3.0.2)
  • Dates V0.37 (FPC/CPUARM adjustments)
  • Hrtimer V0.29 (Simple hacks for FPC/CPUARM)
  • TSC V0.43 (Routines for FPC/CPUARM)
  • and version 1.68 of the standard include file
    std.inc
  • The first update after 6 months brings only some minor changes:
    std.zip addresses Delphi 25 (VER320, ‚Tokyo‘) and FPC/CPUARM;
    the HMAC-SHA3 test vector page
    is updated and some broken links are corrected.
  • In the near future there will be ARM (Raspberry Pi 3) compatible
    versions of many packages, starting with MPArith, CRC/Hash, and DAMath.
    Testing on AMD processors will be dropped.
  • New functions: is_Carmichael32, mpc_exp2, mpc_exp10, mpc_expm1, mpc_ln1p;
  • Changed functions:
    Allow n > p-1 in s_mp_nroot_modp, mpc_coth without vers;
  • Bug fixes: fix error for JACOBI in mp_calc,
    fix arg check in mpc_agm1;
  • Other: Print factors/check only if trace is true in unit pfdu,
    moved some mp_clear[x] into success blocks in unit mp_rsa;
  • Unit AMath V2.09 with the new
    accurate helper function sqrt1pmx = sqrt(1+x^2)-x;
  • Special Functions V1.39.04
    with the new general Fibonacci function,
    general Chebyshev function the first kind, the nth „probabilists'“ Hermite polynomial,
    CDF and ICDF for the limiting form of the Kolmogorov distribution function,
    and the functional inverse of gamma;
  • AMTools V0.35 with the new
    function zbrenty for zeros of f(x)-y.
  • New Poly1305
    message-authentication algorithm,
  • Updated FCA demo archive with
    Serpent and Twofish units contributed by Giorgio Tani
    and corresponding test programs.
  • New SHA3 MMX version for 32-bit compilers contributed by Eric Grange,
  • Fixed HMAC-SHA3 test program from test vector page.
  • Updated HMAC-SHA3 test program and vectors;
    now including intermediate values.
  • Updated CRC/Hash archive and
    Hash/HMAC/KDF introduction page

  • AMath and
    the 64-bit compatible DAMath
    avoid some inaccuracies introduced by
    FreePascal’s -O4 fastmath ‚optimization‘ (FPC 2.7.1, 3.0.0/1, 3.1.1): Among
    others floating point division by constants may be replaced by multiplication
    with the inverse, leading to quotients which are sometimes
    not correctly rounded!
     I recommend to turn off this feature using
    {$OPTIMIZATION NOFASTMATH} or with command line option –OoNOFASTMATH!
  • Changes on the Crypto page:

  • Util archive with
    Compvers V0.35 unit (basic support for
    FPC 3.0.0 and Delphi 23) and version 1.65 of the standard include
    file std.inc
  • Maintenance adjustments for the zlib library
  • Optional MMX coded Keccak state permutation for 32-bit compilers
    (contributed by Anna Kaliszewicz and payl);
  • HMAC-SHA3 test program and vectors;
  • Faster PurePascal scrypt key derivation (reordered salsa20/8 core routine).
  • Constant time verification/compare for
    the all-in-one packet functions
    of AES (aes_eax, aes_gcm, aes_ccm) and
    Camellia (cam_eax, cam_ccm);
  • Improved Salsa20
    stream cipher (faster reordered PurePascal salsa20_wordtobyte);
  • Updated FCA demo archive.
  • Fully integrated SHA3 hashes: The source in the archive should be
    compatible with units/applications that do not expect the old size of
    THashContext. All
    CRC and
    FCA/FZCA demo programs programs compile without changes.
  • Improved CRC64 for 64-bit code on 64-bit systems
  • The GCH/CCH programs support the new SHA3 algorithms
  • Removed the DLL related sources
  • New functions: Complex arithmetic-geometric
    mean (mpc_agm, mpc_agm1);
  • Changed functions:
    Extended s_mp_nroot_modp,
    small change in s_mp_is_pth_power,
    fixed/extended mp_dfact for n < 0;
  • Multi precision arithmetic package MPArith V1.29.12 with

  • AMath V1.94
    (with the new functions compound, logit, pow1p;
    and double-extended support)
    and Special Functions V1.27.09
    (with the two forked units sfGamma2, sfZeta2,
    and new functions: the functional inverses lngamma_inv, psi_inv, ibeta_inv
    and the parabolic cylinder functions CylinderD, CylinderU, HermiteH)
  • 64-bit compatible DAMath archive with
    unit DAMath V0.71 (incl. double-double support)
    and Special Functions V1.12.07.
  • Improved support for ARM CPUs with FreePascal
  • New functions: mp_fermat_factor, mp_safeprime, safeprime32, s_mp_is_psp2, tau32
  • Changed functions: mp_is_spsp, mp_next_prime, mp_rand_prime, s_mp_nextprime_sieve
  • The basic introduction and the multi precision
    calculator t_calc are adjusted.
  • New unit mp_cmplx implements multi precision complex floating point
    arithmetic and elementary transcendental functions
  • New real floating point functions (mpf_divr_ext, mpf_exp10i, mpf_nroot,
    mpf_sincos, s_mpf_is_gt0)
  • Changed number theoretic functions (Allow a < 0 in mp_sqrtmod2k, fixes and new iterative logic in mp_val/rem)
  • New unit AMCmplx V0.40 with complex arithmetic and
    elementary transcendental functions
  • New special function: complete Fermi-Dirac integral F(5/2,x)
© 2018 W.Ehrhardt Last update Sep. 12, 2018
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