apps/plugins/pdbox/math.h


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/***************************************************************************
 *             __________               __   ___.
 *   Open      \______   \ ____   ____ |  | _\_ |__   _______  ___
 *   Source     |       _//  _ \_/ ___\|  |/ /| __ \ /  _ \  \/  /
 *   Jukebox    |    |   (  <_> )  \___|    < | \_\ (  <_> > <  <
 *   Firmware   |____|_  /\____/ \___  >__|_ \|___  /\____/__/\_ \
 *                     \/            \/     \/    \/            \/
 * $Id$
 *
 * Copyright (C) 2009 Wincent Balin
 *
 * This program is free software; you can redistribute it and/or
 * modify it under the terms of the GNU General Public License
 * as published by the Free Software Foundation; either version 2
 * of the License, or (at your option) any later version.
 *
 * This software is distributed on an "AS IS" basis, WITHOUT WARRANTY OF ANY
 * KIND, either express or implied.
 *
 ****************************************************************************/

/* Everything taken from <math.h> -- W.B. */

#ifndef MATH_H
#define MATH_H

/* Useful constants. */
# define M_E		2.7182818284590452354	/* e */
# define M_LOG2E	1.4426950408889634074	/* log_2 e */
# define M_LOG10E	0.43429448190325182765	/* log_10 e */
# define M_LN2		0.69314718055994530942	/* log_e 2 */
# define M_LN10		2.30258509299404568402	/* log_e 10 */
# define M_PI		3.14159265358979323846	/* pi */
# define M_PI_2		1.57079632679489661923	/* pi/2 */
# define M_PI_4		0.78539816339744830962	/* pi/4 */
# define M_1_PI		0.31830988618379067154	/* 1/pi */
# define M_2_PI		0.63661977236758134308	/* 2/pi */
# define M_2_SQRTPI	1.12837916709551257390	/* 2/sqrt(pi) */
# define M_SQRT2	1.41421356237309504880	/* sqrt(2) */
# define M_SQRT1_2	0.70710678118654752440	/* 1/sqrt(2) */


# define M_El		2.7182818284590452353602874713526625L  /* e */
# define M_LOG2El	1.4426950408889634073599246810018921L  /* log_2 e */
# define M_LOG10El	0.4342944819032518276511289189166051L  /* log_10 e */
# define M_LN2l		0.6931471805599453094172321214581766L  /* log_e 2 */
# define M_LN10l	2.3025850929940456840179914546843642L  /* log_e 10 */
# define M_PIl		3.1415926535897932384626433832795029L  /* pi */
# define M_PI_2l	1.5707963267948966192313216916397514L  /* pi/2 */
# define M_PI_4l	0.7853981633974483096156608458198757L  /* pi/4 */
# define M_1_PIl	0.3183098861837906715377675267450287L  /* 1/pi */
# define M_2_PIl	0.6366197723675813430755350534900574L  /* 2/pi */
# define M_2_SQRTPIl	1.1283791670955125738961589031215452L  /* 2/sqrt(pi) */
# define M_SQRT2l	1.4142135623730950488016887242096981L  /* sqrt(2) */
# define M_SQRT1_2l	0.7071067811865475244008443621048490L  /* 1/sqrt(2) */


#endif /* MATH_H */
/*
** $Id: lmathlib.c,v 1.67.1.1 2007/12/27 13:02:25 roberto Exp $
** Standard mathematical library
** See Copyright Notice in lua.h
*/


#if 0
#include <stdlib.h>
#include <math.h>
#endif

#define lmathlib_c
#define LUA_LIB

#include "lua.h"

#include "lauxlib.h"
#include "lualib.h"


#undef PI
#define PI (3.14159265358979323846)
#define RADIANS_PER_DEGREE (PI/180.0)
#define DEGREES_PER_RADIAN (180.0/PI)


static int math_abs (lua_State *L) {
  /* Was: lua_pushnumber(L, fabs(luaL_checknumber(L, 1))); */
  lua_Number n = luaL_checknumber(L, 1);
  lua_pushnumber(L, n < 0 ? -n : n);
  return 1;
}

#if 0
static int math_sin (lua_State *L) {
  lua_pushnumber(L, sin(luaL_checknumber(L, 1)));
  return 1;
}

static int math_sinh (lua_State *L) {
  lua_pushnumber(L, sinh(luaL_checknumber(L, 1)));
  return 1;
}

static int math_cos (lua_State *L) {
  lua_pushnumber(L, cos(luaL_checknumber(L, 1)));
  return 1;
}

static int math_cosh (lua_State *L) {
  lua_pushnumber(L, cosh(luaL_checknumber(L, 1)));
  return 1;
}

static int math_tan (lua_State *L) {
  lua_pushnumber(L, tan(luaL_checknumber(L, 1)));
  return 1;
}

static int math_tanh (lua_State *L) {
  lua_pushnumber(L, tanh(luaL_checknumber(L, 1)));
  return 1;
}

static int math_asin (lua_State *L) {
  lua_pushnumber(L, asin(luaL_checknumber(L, 1)));
  return 1;
}

static int math_acos (lua_State *L) {
  lua_pushnumber(L, acos(luaL_checknumber(L, 1)));
  return 1;
}

static int math_atan (lua_State *L) {
  lua_pushnumber(L, atan(luaL_checknumber(L, 1)));
  return 1;
}

static int math_atan2 (lua_State *L) {
  lua_pushnumber(L, atan2(luaL_checknumber(L, 1), luaL_checknumber(L, 2)));
  return 1;
}
#endif

static int math_ceil (lua_State *L) {
  /* Doesn't change anything in fixed point arithmetic */
  lua_pushnumber(L, luaL_checknumber(L, 1));
  return 1;
}

static int math_floor (lua_State *L) {
  /* Doesn't change anything in fixed point arithmetic */
  lua_pushnumber(L, luaL_checknumber(L, 1));
  return 1;
}

static int math_fmod (lua_State *L) {
  /* Was: lua_pushnumber(L, fmod(luaL_checknumber(L, 1), luaL_checknumber(L, 2))); */
  lua_pushnumber(L, luaL_checknumber(L, 1) % luaL_checknumber(L, 2));
  return 1;
}

#if 0
static int math_modf (lua_State *L) {
  double ip;
  double fp = modf(luaL_checknumber(L, 1), &ip);
  lua_pushnumber(L, ip);
  lua_pushnumber(L, fp);
  return 2;
}

static int math_sqrt (lua_State *L) {
  lua_pushnumber(L, sqrt(luaL_checknumber(L, 1)));
  return 1;
}

static int math_pow (lua_State *L) {
  lua_pushnumber(L, pow(luaL_checknumber(L, 1), luaL_checknumber(L, 2)));
  return 1;
}

static int math_log (lua_State *L) {
  lua_pushnumber(L, log(luaL_checknumber(L, 1)));
  return 1;
}

static int math_log10 (lua_State *L) {
  lua_pushnumber(L, log10(luaL_checknumber(L, 1)));
  return 1;
}

static int math_exp (lua_State *L) {
  lua_pushnumber(L, exp(luaL_checknumber(L, 1)));
  return 1;
}
#endif
static int math_deg (lua_State *L) {
  lua_pushnumber(L, luaL_checknumber(L, 1)*DEGREES_PER_RADIAN);
  return 1;
}
static int math_rad (lua_State *L) {
  lua_pushnumber(L, (luaL_checknumber(L, 1)*100)/(DEGREES_PER_RADIAN*100));
  return 1;
}

#if 0
static int math_frexp (lua_State *L) {
  int e;
  lua_pushnumber(L, frexp(luaL_checknumber(L, 1), &e));
  lua_pushinteger(L, e);
  return 2;
}

static int math_ldexp (lua_State *L) {
  lua_pushnumber(L, ldexp(luaL_checknumber(L, 1), luaL_checkint(L, 2)));
  return 1;
}
#endif


static int math_min (lua_State *L) {
  int n = lua_gettop(L);  /* number of arguments */
  lua_Number dmin = luaL_checknumber(L, 1);
  int i;
  for (i=2; i<=n; i++) {
    lua_Number d = luaL_checknumber(L, i);
    if (d < dmin)
      dmin = d;
  }
  lua_pushnumber(L, dmin);
  return 1;
}


static int math_max (lua_State *L) {
  int n = lua_gettop(L);  /* number of arguments */
  lua_Number dmax = luaL_checknumber(L, 1);
  int i;
  for (i=2; i<=n; i++) {
    lua_Number d = luaL_checknumber(L, i);
    if (d > dmax)
      dmax = d;
  }
  lua_pushnumber(L, dmax);
  return 1;
}


static int math_random (lua_State *L) {
  /* We're not SunOS */
  lua_Number r = (lua_Number)(rb->rand());
  switch (lua_gettop(L)) {  /* check number of arguments */
    case 0: {  /* no arguments */
      lua_pushnumber(L, r);  /* Number between 0 and RAND_MAX */
      break;
    }
    case 1: {  /* only upper limit */
      int u = luaL_checkint(L, 1);
      luaL_argcheck(L, 1<=u, 1, "interval is empty");
      lua_pushnumber(L, r%u+1);  /* int between 1 and `u' */
      break;
    }
    case 2: {  /* lower and upper limits */
      int l = luaL_checkint(L, 1);
      int u = luaL_checkint(L, 2);
      luaL_argcheck(L, l<=u, 2, "interval is empty");
      lua_pushnumber(L, r%(u-l+1)+l);  /* int between `l' and `u' */
      break;
    }
    default: return luaL_error(L, "wrong number of arguments");
  }
  return 1;
}


static int math_randomseed (lua_State *L) {
  rb->srand(luaL_checkint(L, 1));
  return 0;
}


static const luaL_Reg mathlib[] = {
  {"abs",   math_abs},
#if 0
  {"acos",  math_acos},
  {"asin",  math_asin},
  {"atan2", math_atan2},
  {"atan",  math_atan},
#endif
  {"ceil",  math_ceil},
#if 0
  {"cosh",  math_cosh},
  {"cos",   math_cos},
#endif
  {"deg",   math_deg},
#if 0
  {"exp",   math_exp},
#endif
  {"floor", math_floor},
  {"fmod",  math_fmod},
#if 0
  {"frexp", math_frexp},
  {"ldexp", math_ldexp},
  {"log10", math_log10},
  {"log",   math_log},
#endif
  {"max",   math_max},
  {"min",   math_min},
#if 0
  {"modf",  math_modf},
  {"pow",   math_pow},
#endif
  {"rad",   math_rad},
  {"random",     math_random},
  {"randomseed", math_randomseed},
#if 0
  {"sinh",  math_sinh},
  {"sin",   math_sin},
  {"sqrt",  math_sqrt},
  {"tanh",  math_tanh},
  {"tan",   math_tan},
#endif
  {NULL, NULL}
};


/*
** Open math library
*/
LUALIB_API int luaopen_math (lua_State *L) {
  luaL_register(L, LUA_MATHLIBNAME, mathlib);
#if 0 /* No use in adding floating point constants when there's no FP */
  lua_pushnumber(L, PI);
  lua_setfield(L, -2, "pi");
  lua_pushnumber(L, HUGE_VAL);
  lua_setfield(L, -2, "huge");
#if defined(LUA_COMPAT_MOD)
  lua_getfield(L, -1, "fmod");
  lua_setfield(L, -2, "mod");
#endif
#endif
  return 1;
}