X-Git-Url: https://scm.cri.ensmp.fr/git/Faustine.git/blobdiff_plain/1059e1cc0c2ecfa237406949aa26155b6a5b9154..66f23d4fabf89ad09adbd4dfc15ac6b5b2b7da83:/interpreter/preprocessor/faust-0.9.47mr3/architecture/math.lib diff --git a/interpreter/preprocessor/faust-0.9.47mr3/architecture/math.lib b/interpreter/preprocessor/faust-0.9.47mr3/architecture/math.lib new file mode 100644 index 0000000..759bba6 --- /dev/null +++ b/interpreter/preprocessor/faust-0.9.47mr3/architecture/math.lib @@ -0,0 +1,184 @@ +/************************************************************************ + ************************************************************************ + FAUST library file + Copyright (C) 2003-2011 GRAME, Centre National de Creation Musicale + --------------------------------------------------------------------- + This program is free software; you can redistribute it and/or modify + it under the terms of the GNU Lesser General Public License as + published by the Free Software Foundation; either version 2.1 of the + License, or (at your option) any later version. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. + ************************************************************************ + ************************************************************************/ + +declare name "Math Library"; +declare author "GRAME"; +declare copyright "GRAME"; +declare version "1.0"; +declare license "LGPL"; + +//-------------------------------------------------------------------------------- +// Mathematic library for Faust + +// Implementation of the math.h file as Faust foreign functions +// +// History +// ---------- +// 28/06/2005 [YO] postfixed functions with 'f' to force float version +// instead of double +// [YO] removed 'modf' because it requires a pointer as argument +//--------------------------------------------------------------------------------- + +// -- Utilities and constants + +SR = min(192000, max(1, fconstant(int fSamplingFreq, ))); +BS = fvariable(int count, ); + +PI = 3.1415926535897932385; + +// -- neg and inv functions + +neg(x) = -x; +inv(x) = 1/x; + +// -- Trigonometric Functions + +//acos = ffunction(float acosf (float), , ""); +//asin = ffunction(float asinf (float), , ""); +//atan = ffunction(float atanf (float), , ""); +//atan2 = ffunction(float atan2f (float, float), , ""); + +//sin = ffunction(float sinf (float), , ""); +//cos = ffunction(float cosf (float), , ""); +//tan = ffunction(float tanf (float), ,""); + +// -- Exponential Functions + +//exp = ffunction(float expf (float), ,""); +//log = ffunction(float logf (float), ,""); +//log10 = ffunction(float log10f (float), ,""); +//pow = ffunction(float powf (float, float), ,""); +//sqrt = ffunction(float sqrtf (float), ,""); +cbrt = ffunction(float cbrtf (float), ,""); +hypot = ffunction(float hypotf (float, float), ,""); +ldexp = ffunction(float ldexpf (float, int), ,""); +scalb = ffunction(float scalbf (float, float), ,""); +log1p = ffunction(float log1pf (float), ,""); +logb = ffunction(float logbf (float), ,""); +ilogb = ffunction(int ilogbf (float), ,""); +expm1 = ffunction(float expm1f (float), ,""); + +// -- Hyperbolic Functions + +acosh = ffunction(float acoshf (float), , ""); +asinh = ffunction(float asinhf (float), , ""); +atanh = ffunction(float atanhf (float), , ""); + +sinh = ffunction(float sinhf (float), , ""); +cosh = ffunction(float coshf (float), , ""); +tanh = ffunction(float tanhf (float), ,""); + +// -- Remainder Functions + +//fmod = ffunction(float fmodf (float, float),,""); +//remainder = ffunction(float remainderf (float, float),,""); + +// -- Nearest Integer Functions + +//floor = ffunction(float floorf (float), ,""); +//ceil = ffunction(float ceilf (float), ,""); +//rint = ffunction(float rintf (float), ,""); + +// -- Special Functions + +erf = ffunction(float erff(float), ,""); +erfc = ffunction(float erfcf(float), ,""); +gamma = ffunction(float gammaf(float), ,""); +J0 = ffunction(float j0f(float), ,""); +J1 = ffunction(float j1f(float), ,""); +Jn = ffunction(float jnf(int, float), ,""); +lgamma = ffunction(float lgammaf(float), ,""); +Y0 = ffunction(float y0f(float), ,""); +Y1 = ffunction(float y1f(float), ,""); +Yn = ffunction(float ynf(int, float), ,""); + + +// -- Miscellaneous Functions + +//fabs = ffunction(float fabsf (float), ,""); +//fmax = ffunction(float max (float, float),,""); +//fmin = ffunction(float min (float, float),,""); + +fabs = abs; +fmax = max; +fmin = min; + +isnan = ffunction(int isnan (float),,""); +nextafter = ffunction(float nextafter(float, float),,""); + +// Pattern matching functions to count and access the elements of a list +// USAGE : count ((10,20,30,40)) -> 4 +// take (3,(10,20,30,40)) -> 30 +// + +count ((xs, xxs)) = 1 + count(xxs); +count (xx) = 1; + +take (1, (xs, xxs)) = xs; +take (1, xs) = xs; +take (nn, (xs, xxs)) = take (nn-1, xxs); + +// linear interpolation between two signals +interpolate(i) = *(1.0-i),*(i) : +; + +// if-then-else implemented with a select2. +if(cond,thn,els) = select2(cond,els,thn); + + +//----------------------------------------------------------------- +// countdown(count,trig) +// start counting down from count, count-1,...,0 when trig > 0 +//----------------------------------------------------------------- +countdown(count, trig) = \(c).(if(trig>0, count, max(0, c-1))) ~_; + +//----------------------------------------------------------------- +// countup(count,trig) +// start counting down from 0, 1, ... count-1, count when trig > 0 +//----------------------------------------------------------------- +countup(count, trig) = \(c).(if(trig>0, 0, min(count, c+1))) ~_; + +/****************************************************************** + * Hadamard matrix function + * Implementation contributed by Remy Muller + *****************************************************************/ + +// bus(n) : n parallel cables +bus(2) = _,_; // avoids a lot of "bus(1)" labels in block diagrams +bus(n) = par(i, n, _); + +// selector(i,n) : select ith cable among n +selector(i,n) = par(j, n, S(i, j)) with { S(i,i) = _; S(i,j) = !; }; + +// interleave(m,n) : interleave m*n cables : x(0), x(m), x(2m), ..., x(1),x(1+m), x(1+2m)... +//interleave(m,n) = bus(m*n) <: par(i, m, par(j, n, selector(i+j*m,m*n))); + +// interleave(row,col) : interleave row*col cables from column order to row order. +// input : x(0), x(1), x(2) ..., x(row*col-1) +// output: x(0+0*row), x(0+1*row), x(0+2*row), ..., x(1+0*row), x(1+1*row), x(1+2*row), ... +interleave(row,col) = bus(row*col) <: par(r, row, par(c, col, selector(r+c*row,row*col))); + +// butterfly(n) : addition then substraction of interleaved signals : +butterfly(n) = bus(n) <: interleave(n/2,2), interleave(n/2,2) : par(i, n/2, +), par(i, n/2, -); + +// hadamard(n) : hadamard matrix function of size n = 2^k +hadamard(2) = butterfly(2); +hadamard(n) = butterfly(n) : (hadamard(n/2) , hadamard(n/2));