+++ /dev/null
-/************************************************************************
- ************************************************************************
- 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, <math.h>)));
-BS = fvariable(int count, <math.h>);
-
-PI = 3.1415926535897932385;
-
-// -- neg and inv functions
-
-neg(x) = -x;
-inv(x) = 1/x;
-
-// -- Trigonometric Functions
-
-//acos = ffunction(float acosf (float), <math.h>, "");
-//asin = ffunction(float asinf (float), <math.h>, "");
-//atan = ffunction(float atanf (float), <math.h>, "");
-//atan2 = ffunction(float atan2f (float, float), <math.h>, "");
-
-//sin = ffunction(float sinf (float), <math.h>, "");
-//cos = ffunction(float cosf (float), <math.h>, "");
-//tan = ffunction(float tanf (float), <math.h>,"");
-
-// -- Exponential Functions
-
-//exp = ffunction(float expf (float), <math.h>,"");
-//log = ffunction(float logf (float), <math.h>,"");
-//log10 = ffunction(float log10f (float), <math.h>,"");
-//pow = ffunction(float powf (float, float), <math.h>,"");
-//sqrt = ffunction(float sqrtf (float), <math.h>,"");
-cbrt = ffunction(float cbrtf (float), <math.h>,"");
-hypot = ffunction(float hypotf (float, float), <math.h>,"");
-ldexp = ffunction(float ldexpf (float, int), <math.h>,"");
-scalb = ffunction(float scalbf (float, float), <math.h>,"");
-log1p = ffunction(float log1pf (float), <math.h>,"");
-logb = ffunction(float logbf (float), <math.h>,"");
-ilogb = ffunction(int ilogbf (float), <math.h>,"");
-expm1 = ffunction(float expm1f (float), <math.h>,"");
-
-// -- Hyperbolic Functions
-
-acosh = ffunction(float acoshf (float), <math.h>, "");
-asinh = ffunction(float asinhf (float), <math.h>, "");
-atanh = ffunction(float atanhf (float), <math.h>, "");
-
-sinh = ffunction(float sinhf (float), <math.h>, "");
-cosh = ffunction(float coshf (float), <math.h>, "");
-tanh = ffunction(float tanhf (float), <math.h>,"");
-
-// -- Remainder Functions
-
-//fmod = ffunction(float fmodf (float, float),<math.h>,"");
-//remainder = ffunction(float remainderf (float, float),<math.h>,"");
-
-// -- Nearest Integer Functions
-
-//floor = ffunction(float floorf (float), <math.h>,"");
-//ceil = ffunction(float ceilf (float), <math.h>,"");
-//rint = ffunction(float rintf (float), <math.h>,"");
-
-// -- Special Functions
-
-erf = ffunction(float erff(float), <math.h>,"");
-erfc = ffunction(float erfcf(float), <math.h>,"");
-gamma = ffunction(float gammaf(float), <math.h>,"");
-J0 = ffunction(float j0f(float), <math.h>,"");
-J1 = ffunction(float j1f(float), <math.h>,"");
-Jn = ffunction(float jnf(int, float), <math.h>,"");
-lgamma = ffunction(float lgammaf(float), <math.h>,"");
-Y0 = ffunction(float y0f(float), <math.h>,"");
-Y1 = ffunction(float y1f(float), <math.h>,"");
-Yn = ffunction(float ynf(int, float), <math.h>,"");
-
-
-// -- Miscellaneous Functions
-
-//fabs = ffunction(float fabsf (float), <math.h>,"");
-//fmax = ffunction(float max (float, float),<math.h>,"");
-//fmin = ffunction(float min (float, float),<math.h>,"");
-
-fabs = abs;
-fmax = max;
-fmin = min;
-
-isnan = ffunction(int isnan (float),<math.h>,"");
-nextafter = ffunction(float nextafter(float, float),<math.h>,"");
-
-// 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));