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+/*
+ * jMax
+ * Copyright (C) 1994, 1995, 1998, 1999 by IRCAM-Centre Georges Pompidou, Paris, France.
+ *
+ * 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.
+ *
+ * See file LICENSE for further informations on licensing terms.
+ *
+ * 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 General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, write to the Free Software
+ * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
+ *
+ * Based on Max/ISPW by Miller Puckette.
+ *
+ * Authors: Maurizio De Cecco, Francois Dechelle, Enzo Maggi, Norbert Schnell.
+ *
+ */
+
+/* "expr" was written by Shahrokh Yadegari c. 1989. -msp
+ *
+ * Nov. 2001 --sdy
+ * conversion for expr~
+ *
+ * Jan, 2002 --sdy
+ * added fmod()
+ *
+ * May 2002
+ * added floor and ceil for expr -- Orm Finnendahl
+ *
+ * July 2002 --sdy
+ * added the following math funtions:
+ * cbrt - cube root
+ * erf - error function
+ * erfc - complementary error function
+ * expm1 - exponential minus 1,
+ * log1p - logarithm of 1 plus
+ * isinf - is the value infinite,
+ * finite - is the value finite
+ * isnan -- is the resut a nan (Not a number)
+ * copysign - copy sign of a number
+ * ldexp - multiply floating-point number by integral power of 2
+ * imodf - get signed integral value from floating-point number
+ * modf - get signed fractional value from floating-point number
+ * drem - floating-point remainder function
+ *
+ * The following are done but not popular enough in math libss
+ * to be included yet
+ * hypoth - Euclidean distance function
+ * trunc
+ * round
+ * nearbyint -
+ */
+
+
+
+/*
+ * vexp_func.c -- this file include all the functions for vexp.
+ * the first two arguments to the function are the number
+ * of argument and an array of arguments (argc, argv)
+ * the last argument is a pointer to a struct ex_ex for
+ * the result. Up do this point, the content of the
+ * struct ex_ex that these functions receive are either
+ * ET_INT (long), ET_FLT (t_float), or ET_SYM (char **, it is
+ * char ** and not char * since NewHandle of Mac returns
+ * a char ** for relocatability.) The common practice in
+ * these functions is that they figure out the type of their
+ * result according to the type of the arguments. In general
+ * the ET_SYM is used an ET_INT when we expect a value.
+ * It is the users responsibility not to pass strings to the
+ * function.
+ */
+
+#include <stdlib.h>
+#include <string.h>
+
+#define __STRICT_BSD__
+#include <math.h>
+#undef __STRICT_BSD__
+
+
+#include "vexp.h"
+
+/* forward declarations */
+
+static void ex_min(t_expr *expr, long int argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_max(t_expr *expr, long int argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_toint(t_expr *expr, long int argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_rint(t_expr *expr, long int argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_tofloat(t_expr *expr, long int argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_pow(t_expr *expr, long int argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_exp(t_expr *expr, long int argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_log(t_expr *expr, long int argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_ln(t_expr *expr, long int argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_sin(t_expr *expr, long int argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_cos(t_expr *expr, long int argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_asin(t_expr *expr, long int argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_acos(t_expr *expr, long int argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_tan(t_expr *expr, long int argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_atan(t_expr *expr, long int argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_sinh(t_expr *expr, long int argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_cosh(t_expr *expr, long int argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_asinh(t_expr *expr, long argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_acosh(t_expr *expr, long argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_tanh(t_expr *expr, long int argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_atanh(t_expr *expr, long argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_atan2(t_expr *expr, long int argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_sqrt(t_expr *expr, long int argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_fact(t_expr *expr, long int argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_random(t_expr *expr, long int argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_abs(t_expr *expr, long int argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_fmod(t_expr *expr, long argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_ceil(t_expr *expr, long argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_floor(t_expr *expr, long argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_if(t_expr *expr, long argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_ldexp(t_expr *expr, long argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_imodf(t_expr *expr, long argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_modf(t_expr *expr, long argc, struct ex_ex *argv, struct ex_ex *optr);
+#ifndef _WIN32
+static void ex_cbrt(t_expr *expr, long argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_erf(t_expr *expr, long argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_erfc(t_expr *expr, long argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_expm1(t_expr *expr, long argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_log1p(t_expr *expr, long argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_isinf(t_expr *expr, long argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_finite(t_expr *expr, long argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_isnan(t_expr *expr, long argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_copysign(t_expr *expr, long argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_drem(t_expr *expr, long argc, struct ex_ex *argv, struct ex_ex *optr);
+#endif
+#ifdef notdef
+/* the following will be added once they are more popular in math libraries */
+static void ex_round(t_expr *expr, long argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_trunc(t_expr *expr, long argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_nearbyint(t_expr *expr, long argc, struct ex_ex *argv, struct ex_ex *optr);
+static void ex_hypoth(t_expr *expr, long argc, struct ex_ex *argv, struct ex_ex *optr);
+#endif
+
+
+t_ex_func ex_funcs[] = {
+ {"min", ex_min, 2},
+ {"max", ex_max, 2},
+ {"int", ex_toint, 1},
+ {"rint", ex_rint, 1},
+ {"float", ex_tofloat, 1},
+ {"fmod", ex_fmod, 2},
+ {"floor", ex_floor, 2},
+ {"ceil", ex_ceil, 2},
+ {"pow", ex_pow, 2},
+ {"sqrt", ex_sqrt, 1},
+ {"exp", ex_exp, 1},
+ {"log10", ex_log, 1},
+ {"ln", ex_ln, 1},
+ {"log", ex_ln, 1},
+ {"sin", ex_sin, 1},
+ {"cos", ex_cos, 1},
+ {"tan", ex_tan, 1},
+ {"asin", ex_asin, 1},
+ {"acos", ex_acos, 1},
+ {"atan", ex_atan, 1},
+ {"atan2", ex_atan2, 2},
+ {"sinh", ex_sinh, 1},
+ {"cosh", ex_cosh, 1},
+ {"tanh", ex_tanh, 1},
+ {"fact", ex_fact, 1},
+ {"random", ex_random, 2}, /* random number */
+ {"abs", ex_abs, 1},
+ {"if", ex_if, 3},
+ {"ldexp ", ex_ldexp, 1},
+ {"imodf ", ex_imodf, 1},
+ {"modf", ex_modf, 1},
+#ifndef _WIN32
+ {"cbrt", ex_cbrt, 1},
+ {"erf", ex_erf, 1},
+ {"erfc", ex_erfc, 1},
+ {"expm1", ex_expm1, 1},
+ {"log1p", ex_log1p, 1},
+ {"isinf", ex_isinf, 1},
+ {"finite", ex_finite, 1},
+ {"isnan", ex_isnan, 1},
+ {"copysig", ex_copysign, 1},
+ {"drem", ex_drem, 1},
+ {"asinh", ex_asinh, 1},
+ {"acosh", ex_acosh, 1},
+ {"atanh", ex_atanh, 1}, /* hyperbolic atan */
+#endif
+#ifdef PD
+ {"size", ex_size, 1},
+ {"sum", ex_sum, 1},
+ {"Sum", ex_Sum, 3},
+ {"avg", ex_avg, 1},
+ {"Avg", ex_Avg, 3},
+ {"store", ex_store, 3},
+#endif
+#ifdef notdef
+/* the following will be added once they are more popular in math libraries */
+ {"round", ex_round, 1},
+ {"trunc", ex_trunc, 1},
+ {"nearbyint", ex_nearbyint, 1},
+ {"hypoth", ex_hypoth, 1},
+#endif
+ {0, 0, 0}
+};
+
+/*
+ * FUN_EVAL -- do type checking, evaluate a function,
+ * if fltret is set return float
+ * otherwise return value based on regular typechecking,
+ */
+#define FUNC_EVAL(left, right, func, leftfuncast, rightfuncast, optr, fltret) \
+switch (left->ex_type) { \
+case ET_INT: \
+ switch(right->ex_type) { \
+ case ET_INT: \
+ if (optr->ex_type == ET_VEC) { \
+ op = optr->ex_vec; \
+ scalar = (t_float)func(leftfuncast left->ex_int, \
+ rightfuncast right->ex_int); \
+ j = e->exp_vsize; \
+ while (j--) \
+ *op++ = scalar; \
+ } else { \
+ if (fltret) { \
+ optr->ex_type = ET_FLT; \
+ optr->ex_flt = (t_float)func(leftfuncast \
+ left->ex_int, rightfuncast right->ex_int); \
+ } else { \
+ optr->ex_type = ET_INT; \
+ optr->ex_int = (int)func(leftfuncast \
+ left->ex_int, rightfuncast right->ex_int); \
+ } \
+ } \
+ break; \
+ case ET_FLT: \
+ if (optr->ex_type == ET_VEC) { \
+ op = optr->ex_vec; \
+ scalar = (t_float)func(leftfuncast left->ex_int, \
+ rightfuncast right->ex_flt); \
+ j = e->exp_vsize; \
+ while (j--) \
+ *op++ = scalar; \
+ } else { \
+ optr->ex_type = ET_FLT; \
+ optr->ex_flt = (t_float)func(leftfuncast left->ex_int, \
+ rightfuncast right->ex_flt); \
+ } \
+ break; \
+ case ET_VEC: \
+ case ET_VI: \
+ if (optr->ex_type != ET_VEC) { \
+ if (optr->ex_type == ET_VI) { \
+ post("expr~: Int. error %d", __LINE__); \
+ abort(); \
+ } \
+ optr->ex_type = ET_VEC; \
+ optr->ex_vec = (t_float *) \
+ fts_malloc(sizeof (t_float)*e->exp_vsize); \
+ } \
+ scalar = left->ex_int; \
+ rp = right->ex_vec; \
+ op = optr->ex_vec; \
+ j = e->exp_vsize; \
+ while (j--) { \
+ *op++ = (t_float)func(leftfuncast scalar, \
+ rightfuncast *rp); \
+ rp++; \
+ } \
+ break; \
+ case ET_SYM: \
+ default: \
+ post_error((fts_object_t *) e, \
+ "expr: FUNC_EVAL(%d): bad right type %ld\n", \
+ __LINE__, right->ex_type);\
+ } \
+ break; \
+case ET_FLT: \
+ switch(right->ex_type) { \
+ case ET_INT: \
+ if (optr->ex_type == ET_VEC) { \
+ op = optr->ex_vec; \
+ scalar = (t_float)func(leftfuncast left->ex_flt, \
+ rightfuncast right->ex_int); \
+ j = e->exp_vsize; \
+ while (j--) \
+ *op++ = scalar; \
+ } else { \
+ optr->ex_type = ET_FLT; \
+ optr->ex_flt = (t_float)func(leftfuncast left->ex_flt, \
+ rightfuncast right->ex_int); \
+ } \
+ break; \
+ case ET_FLT: \
+ if (optr->ex_type == ET_VEC) { \
+ op = optr->ex_vec; \
+ scalar = (t_float)func(leftfuncast left->ex_flt, \
+ rightfuncast right->ex_flt); \
+ j = e->exp_vsize; \
+ while (j--) \
+ *op++ = scalar; \
+ } else { \
+ optr->ex_type = ET_FLT; \
+ optr->ex_flt = (t_float)func(leftfuncast left->ex_flt, \
+ rightfuncast right->ex_flt); \
+ } \
+ break; \
+ case ET_VEC: \
+ case ET_VI: \
+ if (optr->ex_type != ET_VEC) { \
+ if (optr->ex_type == ET_VI) { \
+ post("expr~: Int. error %d", __LINE__); \
+ abort(); \
+ } \
+ optr->ex_type = ET_VEC; \
+ optr->ex_vec = (t_float *) \
+ fts_malloc(sizeof (t_float) * e->exp_vsize);\
+ } \
+ scalar = left->ex_flt; \
+ rp = right->ex_vec; \
+ op = optr->ex_vec; \
+ j = e->exp_vsize; \
+ while (j--) { \
+ *op++ = (t_float)func(leftfuncast scalar, \
+ rightfuncast *rp); \
+ rp++; \
+ } \
+ break; \
+ case ET_SYM: \
+ default: \
+ post_error((fts_object_t *) e, \
+ "expr: FUNC_EVAL(%d): bad right type %ld\n", \
+ __LINE__, right->ex_type);\
+ } \
+ break; \
+case ET_VEC: \
+case ET_VI: \
+ if (optr->ex_type != ET_VEC) { \
+ if (optr->ex_type == ET_VI) { \
+ post("expr~: Int. error %d", __LINE__); \
+ abort(); \
+ } \
+ optr->ex_type = ET_VEC; \
+ optr->ex_vec = (t_float *) \
+ fts_malloc(sizeof (t_float) * e->exp_vsize); \
+ } \
+ op = optr->ex_vec; \
+ lp = left->ex_vec; \
+ switch(right->ex_type) { \
+ case ET_INT: \
+ scalar = right->ex_int; \
+ j = e->exp_vsize; \
+ while (j--) { \
+ *op++ = (t_float)func(leftfuncast *lp, \
+ rightfuncast scalar); \
+ lp++; \
+ } \
+ break; \
+ case ET_FLT: \
+ scalar = right->ex_flt; \
+ j = e->exp_vsize; \
+ while (j--) { \
+ *op++ = (t_float)func(leftfuncast *lp, \
+ rightfuncast scalar); \
+ lp++; \
+ } \
+ break; \
+ case ET_VEC: \
+ case ET_VI: \
+ rp = right->ex_vec; \
+ j = e->exp_vsize; \
+ while (j--) { \
+ /* \
+ * on a RISC processor one could copy \
+ * 8 times in each round to get a considerable \
+ * improvement \
+ */ \
+ *op++ = (t_float)func(leftfuncast *lp, \
+ rightfuncast *rp); \
+ rp++; lp++; \
+ } \
+ break; \
+ case ET_SYM: \
+ default: \
+ post_error((fts_object_t *) e, \
+ "expr: FUNC_EVAL(%d): bad right type %ld\n", \
+ __LINE__, right->ex_type);\
+ } \
+ break; \
+case ET_SYM: \
+default: \
+ post_error((fts_object_t *) e, \
+ "expr: FUNC_EVAL(%d): bad left type %ld\n", \
+ __LINE__, left->ex_type); \
+}
+
+/*
+ * FUNC_EVAL_UNARY - evaluate a unary function,
+ * if fltret is set return t_float
+ * otherwise return value based on regular typechecking,
+ */
+#define FUNC_EVAL_UNARY(left, func, leftcast, optr, fltret) \
+switch(left->ex_type) { \
+case ET_INT: \
+ if (optr->ex_type == ET_VEC) { \
+ ex_mkvector(optr->ex_vec, \
+ (t_float)(func (leftcast left->ex_int)), e->exp_vsize);\
+ break; \
+ } \
+ if (fltret) { \
+ optr->ex_type = ET_FLT; \
+ optr->ex_flt = (t_float) func(leftcast left->ex_int); \
+ break; \
+ } \
+ optr->ex_type = ET_INT; \
+ optr->ex_int = (int) func(leftcast left->ex_int); \
+ break; \
+case ET_FLT: \
+ if (optr->ex_type == ET_VEC) { \
+ ex_mkvector(optr->ex_vec, \
+ (t_float)(func (leftcast left->ex_flt)), e->exp_vsize);\
+ break; \
+ } \
+ optr->ex_type = ET_FLT; \
+ optr->ex_flt = (t_float) func(leftcast left->ex_flt); \
+ break; \
+case ET_VI: \
+case ET_VEC: \
+ if (optr->ex_type != ET_VEC) { \
+ optr->ex_type = ET_VEC; \
+ optr->ex_vec = (t_float *) \
+ fts_malloc(sizeof (t_float)*e->exp_vsize); \
+ } \
+ op = optr->ex_vec; \
+ lp = left->ex_vec; \
+ j = e->exp_vsize; \
+ while (j--) \
+ *op++ = (t_float)(func (leftcast *lp++)); \
+ break; \
+default: \
+ post_error((fts_object_t *) e, \
+ "expr: FUNV_EVAL_UNARY(%d): bad left type %ld\n",\
+ __LINE__, left->ex_type); \
+}
+
+#undef min
+#undef max
+#define min(x,y) (x > y ? y : x)
+#define max(x,y) (x > y ? x : y)
+
+#define FUNC_DEF(ex_func, func, castleft, castright, fltret); \
+static void \
+ex_func(t_expr *e, long int argc, struct ex_ex *argv, struct ex_ex *optr)\
+{ \
+ struct ex_ex *left, *right; \
+ t_float *op; /* output pointer */ \
+ t_float *lp, *rp; /* left and right vector pointers */ \
+ t_float scalar; \
+ int j; \
+ \
+ left = argv++; \
+ right = argv; \
+ FUNC_EVAL(left, right, func, castleft, castright, optr, fltret); \
+}
+
+
+#define FUNC_DEF_UNARY(ex_func, func, cast, fltret); \
+static void \
+ex_func(t_expr *e, long int argc, struct ex_ex *argv, struct ex_ex *optr)\
+{ \
+ struct ex_ex *left; \
+ t_float *op; /* output pointer */ \
+ t_float *lp, *rp; /* left and right vector pointers */ \
+ t_float scalar; \
+ int j; \
+ \
+ left = argv++; \
+ \
+ FUNC_EVAL_UNARY(left, func, cast, optr, fltret); \
+}
+
+/*
+ * ex_min -- if any of the arguments are or the output are vectors, a vector
+ * of floats is generated otherwise the type of the result is the
+ * type of the smaller value
+ */
+static void
+ex_min(t_expr *e, long int argc, struct ex_ex *argv, struct ex_ex *optr)
+{
+ struct ex_ex *left, *right;
+ t_float *op; /* output pointer */
+ t_float *lp, *rp; /* left and right vector pointers */
+ t_float scalar;
+ int j;
+
+ left = argv++;
+ right = argv;
+
+ FUNC_EVAL(left, right, min, (double), (double), optr, 0);
+}
+
+/*
+ * ex_max -- if any of the arguments are or the output are vectors, a vector
+ * of floats is generated otherwise the type of the result is the
+ * type of the larger value
+ */
+static void
+ex_max(t_expr *e, long int argc, struct ex_ex *argv, struct ex_ex *optr)
+{
+ struct ex_ex *left, *right;
+ t_float *op; /* output pointer */
+ t_float *lp, *rp; /* left and right vector pointers */
+ t_float scalar;
+ int j;
+
+ left = argv++;
+ right = argv;
+
+ FUNC_EVAL(left, right, max, (double), (double), optr, 0);
+}
+
+/*
+ * ex_toint -- convert to integer
+ */
+static void
+ex_toint(t_expr *e, long int argc, struct ex_ex *argv, struct ex_ex *optr)
+{
+ struct ex_ex *left;
+ t_float *op; /* output pointer */
+ t_float *lp, *rp; /* left and right vector pointers */
+ t_float scalar;
+ int j;
+
+ left = argv++;
+
+#define toint(x) ((int)(x))
+ FUNC_EVAL_UNARY(left, toint, (int), optr, 0);
+ }
+
+#ifdef _WIN32
+/* No rint in NT land ??? */
+double rint(double x);
+
+double
+rint(double x)
+{
+ return (floor(x + 0.5));
+}
+#endif
+
+/*
+ * ex_rint -- rint() round to the nearest int according to the common
+ * rounding mechanism
+ */
+static void
+ex_rint(t_expr *e, long int argc, struct ex_ex *argv, struct ex_ex *optr)
+{
+ struct ex_ex *left;
+ t_float *op; /* output pointer */
+ t_float *lp, *rp; /* left and right vector pointers */
+ t_float scalar;
+ int j;
+
+ left = argv++;
+
+
+ FUNC_EVAL_UNARY(left, rint, (double), optr, 1);
+}
+
+/*
+ * ex_tofloat -- convert to t_float
+ */
+static void
+ex_tofloat(t_expr *e, long int argc, struct ex_ex *argv, struct ex_ex *optr)
+{
+ struct ex_ex *left;
+ t_float *op; /* output pointer */
+ t_float *lp, *rp; /* left and right vector pointers */
+ t_float scalar;
+ int j;
+
+ left = argv++;
+
+#define tofloat(x) ((t_float)(x))
+ FUNC_EVAL_UNARY(left, tofloat, (int), optr, 1);
+}
+
+
+/*
+ * ex_pow -- the power of
+ */
+static void
+ex_pow(t_expr *e, long int argc, struct ex_ex *argv, struct ex_ex *optr)
+{
+ struct ex_ex *left, *right;
+ t_float *op; /* output pointer */
+ t_float *lp, *rp; /* left and right vector pointers */
+ t_float scalar;
+ int j;
+
+ left = argv++;
+ right = argv;
+ FUNC_EVAL(left, right, pow, (double), (double), optr, 1);
+}
+
+/*
+ * ex_sqrt -- square root
+ */
+static void
+ex_sqrt(t_expr *e, long int argc, struct ex_ex *argv, struct ex_ex *optr)
+{
+ struct ex_ex *left;
+ t_float *op; /* output pointer */
+ t_float *lp, *rp; /* left and right vector pointers */
+ t_float scalar;
+ int j;
+
+ left = argv++;
+
+ FUNC_EVAL_UNARY(left, sqrt, (double), optr, 1);
+}
+
+/*
+ * ex_exp -- e to the power of
+ */
+static void
+ex_exp(t_expr *e, long int argc, struct ex_ex *argv, struct ex_ex *optr)
+{
+ struct ex_ex *left;
+ t_float *op; /* output pointer */
+ t_float *lp, *rp; /* left and right vector pointers */
+ t_float scalar;
+ int j;
+
+ left = argv++;
+
+ FUNC_EVAL_UNARY(left, exp, (double), optr, 1);
+}
+
+/*
+ * ex_log -- 10 based logarithm
+ */
+static void
+ex_log(t_expr *e, long int argc, struct ex_ex *argv, struct ex_ex *optr)
+{
+ struct ex_ex *left;
+ t_float *op; /* output pointer */
+ t_float *lp, *rp; /* left and right vector pointers */
+ t_float scalar;
+ int j;
+
+ left = argv++;
+
+ FUNC_EVAL_UNARY(left, log10, (double), optr, 1);
+}
+
+/*
+ * ex_ln -- natural log
+ */
+static void
+ex_ln(t_expr *e, long int argc, struct ex_ex *argv, struct ex_ex *optr)
+{
+ struct ex_ex *left;
+ t_float *op; /* output pointer */
+ t_float *lp, *rp; /* left and right vector pointers */
+ t_float scalar;
+ int j;
+
+ left = argv++;
+
+ FUNC_EVAL_UNARY(left, log, (double), optr, 1);
+}
+
+static void
+ex_sin(t_expr *e, long int argc, struct ex_ex *argv, struct ex_ex *optr)
+{
+ struct ex_ex *left;
+ t_float *op; /* output pointer */
+ t_float *lp, *rp; /* left and right vector pointers */
+ t_float scalar;
+ int j;
+
+ left = argv++;
+
+ FUNC_EVAL_UNARY(left, sin, (double), optr, 1);
+}
+
+static void
+ex_cos(t_expr *e, long int argc, struct ex_ex *argv, struct ex_ex *optr)
+{
+ struct ex_ex *left;
+ t_float *op; /* output pointer */
+ t_float *lp, *rp; /* left and right vector pointers */
+ t_float scalar;
+ int j;
+
+ left = argv++;
+
+ FUNC_EVAL_UNARY(left, cos, (double), optr, 1);
+}
+
+
+static void
+ex_tan(t_expr *e, long int argc, struct ex_ex *argv, struct ex_ex *optr)
+{
+ struct ex_ex *left;
+ t_float *op; /* output pointer */
+ t_float *lp, *rp; /* left and right vector pointers */
+ t_float scalar;
+ int j;
+
+ left = argv++;
+
+ FUNC_EVAL_UNARY(left, tan, (double), optr, 1);
+}
+
+static void
+ex_asin(t_expr *e, long int argc, struct ex_ex *argv, struct ex_ex *optr)
+{
+ struct ex_ex *left;
+ t_float *op; /* output pointer */
+ t_float *lp, *rp; /* left and right vector pointers */
+ t_float scalar;
+ int j;
+
+ left = argv++;
+
+ FUNC_EVAL_UNARY(left, asin, (double), optr, 1);
+}
+
+static void
+ex_acos(t_expr *e, long int argc, struct ex_ex *argv, struct ex_ex *optr)
+{
+ struct ex_ex *left;
+ t_float *op; /* output pointer */
+ t_float *lp, *rp; /* left and right vector pointers */
+ t_float scalar;
+ int j;
+
+ left = argv++;
+
+ FUNC_EVAL_UNARY(left, acos, (double), optr, 1);
+}
+
+
+static void
+ex_atan(t_expr *e, long int argc, struct ex_ex *argv, struct ex_ex *optr)
+{
+ struct ex_ex *left;
+ t_float *op; /* output pointer */
+ t_float *lp, *rp; /* left and right vector pointers */
+ t_float scalar;
+ int j;
+
+ left = argv++;
+
+ FUNC_EVAL_UNARY(left, atan, (double), optr, 1);
+}
+
+/*
+ *ex_atan2 --
+ */
+static void
+ex_atan2(t_expr *e, long int argc, struct ex_ex *argv, struct ex_ex *optr)
+{
+ struct ex_ex *left, *right;
+ t_float *op; /* output pointer */
+ t_float *lp, *rp; /* left and right vector pointers */
+ t_float scalar;
+ int j;
+
+ left = argv++;
+ right = argv;
+ FUNC_EVAL(left, right, atan2, (double), (double), optr, 1);
+}
+
+/*
+ * ex_fmod -- floating point modulo
+ */
+static void
+ex_fmod(t_expr *e, long int argc, struct ex_ex *argv, struct ex_ex *optr)
+{
+ struct ex_ex *left, *right;
+ t_float *op; /* output pointer */
+ t_float *lp, *rp; /* left and right vector pointers */
+ t_float scalar;
+ int j;
+
+ left = argv++;
+ right = argv;
+ FUNC_EVAL(left, right, fmod, (double), (double), optr, 1);
+}
+
+
+/*
+ * ex_floor -- floor
+ */
+static void
+ex_floor(t_expr *e, long int argc, struct ex_ex *argv, struct ex_ex *optr)
+{
+ struct ex_ex *left;
+ t_float *op; /* output pointer */
+ t_float *lp, *rp; /* left and right vector pointers */
+ t_float scalar;
+ int j;
+
+ left = argv++;
+ FUNC_EVAL_UNARY(left, floor, (double), optr, 1);
+}
+
+
+/*
+ * ex_ceil -- ceil
+ */
+static void
+ex_ceil(t_expr *e, long int argc, struct ex_ex *argv, struct ex_ex *optr)
+{
+ struct ex_ex *left;
+ t_float *op; /* output pointer */
+ t_float *lp, *rp; /* left and right vector pointers */
+ t_float scalar;
+ int j;
+
+ left = argv++;
+ FUNC_EVAL_UNARY(left, ceil, (double), optr, 1);
+}
+
+static void
+ex_sinh(t_expr *e, long int argc, struct ex_ex *argv, struct ex_ex *optr)
+{
+ struct ex_ex *left;
+ t_float *op; /* output pointer */
+ t_float *lp, *rp; /* left and right vector pointers */
+ t_float scalar;
+ int j;
+
+ left = argv++;
+
+ FUNC_EVAL_UNARY(left, sinh, (double), optr, 1);
+}
+
+static void
+ex_cosh(t_expr *e, long int argc, struct ex_ex *argv, struct ex_ex *optr)
+{
+ struct ex_ex *left;
+ t_float *op; /* output pointer */
+ t_float *lp, *rp; /* left and right vector pointers */
+ t_float scalar;
+ int j;
+
+ left = argv++;
+
+ FUNC_EVAL_UNARY(left, cosh, (double), optr, 1);
+}
+
+
+static void
+ex_tanh(t_expr *e, long int argc, struct ex_ex *argv, struct ex_ex *optr)
+{
+ struct ex_ex *left;
+ t_float *op; /* output pointer */
+ t_float *lp, *rp; /* left and right vector pointers */
+ t_float scalar;
+ int j;
+
+ left = argv++;
+
+ FUNC_EVAL_UNARY(left, tanh, (double), optr, 1);
+}
+
+
+#ifndef _WIN32
+static void
+ex_asinh(t_expr *e, long argc, struct ex_ex *argv, struct ex_ex *optr)
+{
+ struct ex_ex *left;
+ t_float *op; /* output pointer */
+ t_float *lp, *rp; /* left and right vector pointers */
+ t_float scalar;
+ int j;
+
+ left = argv++;
+
+ FUNC_EVAL_UNARY(left, asinh, (double), optr, 1);
+}
+
+static void
+ex_acosh(t_expr *e, long argc, struct ex_ex *argv, struct ex_ex *optr)
+{
+ struct ex_ex *left;
+ t_float *op; /* output pointer */
+ t_float *lp, *rp; /* left and right vector pointers */
+ t_float scalar;
+ int j;
+
+ left = argv++;
+
+ FUNC_EVAL_UNARY(left, acosh, (double), optr, 1);
+}
+
+static void
+ex_atanh(t_expr *e, long argc, struct ex_ex *argv, struct ex_ex *optr)
+{
+ struct ex_ex *left;
+ t_float *op; /* output pointer */
+ t_float *lp, *rp; /* left and right vector pointers */
+ t_float scalar;
+ int j;
+
+ left = argv++;
+
+ FUNC_EVAL_UNARY(left, atanh, (double), optr, 1);
+}
+#endif
+
+static int
+ex_dofact(int i)
+{
+ int ret = 0;
+
+ if (i)
+ ret = 1;
+ else
+ return (0);
+
+ do {
+ ret *= i;
+ } while (--i);
+
+ return(ret);
+}
+
+static void
+ex_fact(t_expr *e, long int argc, struct ex_ex *argv, struct ex_ex *optr)
+{
+ struct ex_ex *left;
+ t_float *op; /* output pointer */
+ t_float *lp, *rp; /* left and right vector pointers */
+ t_float scalar;
+ int j;
+
+ left = argv++;
+
+ FUNC_EVAL_UNARY(left, ex_dofact, (int), optr, 0);
+}
+
+static int
+ex_dorandom(int i1, int i2)
+{
+ return(i1 + (((i2 - i1) * (rand() & 0x7fffL)) >> 15));
+}
+/*
+ * ex_random -- return a random number
+ */
+static void
+ex_random(t_expr *e, long int argc, struct ex_ex *argv, struct ex_ex *optr)
+{
+ struct ex_ex *left, *right;
+ t_float *op; /* output pointer */
+ t_float *lp, *rp; /* left and right vector pointers */
+ t_float scalar;
+ int j;
+
+ left = argv++;
+ right = argv;
+ FUNC_EVAL(left, right, ex_dorandom, (int), (int), optr, 0);
+}
+
+
+static void
+ex_abs(t_expr *e, long int argc, struct ex_ex *argv, struct ex_ex *optr)
+{
+ struct ex_ex *left;
+ t_float *op; /* output pointer */
+ t_float *lp, *rp; /* left and right vector pointers */
+ t_float scalar;
+ int j;
+
+ left = argv++;
+
+ FUNC_EVAL_UNARY(left, fabs, (double), optr, 0);
+}
+
+/*
+ *ex_if -- floating point modulo
+ */
+static void
+ex_if(t_expr *e, long int argc, struct ex_ex *argv, struct ex_ex *optr)
+{
+ struct ex_ex *left, *right, *cond, *res;
+ t_float *op; /* output pointer */
+ t_float *lp, *rp; /* left and right vector pointers */
+ t_float *cp; /* condition pointer */
+ t_float leftvalue, rightvalue;
+ int j;
+
+ cond = argv++;
+ left = argv++;
+ right = argv;
+
+ switch (cond->ex_type) {
+ case ET_VEC:
+ case ET_VI:
+ if (optr->ex_type != ET_VEC) {
+ if (optr->ex_type == ET_VI) {
+ /* SDY remove this test */
+ post("expr~: Int. error %d", __LINE__);
+ return;
+ }
+ optr->ex_type = ET_VEC;
+ optr->ex_vec = (t_float *)
+ fts_malloc(sizeof (t_float) * e->exp_vsize);
+ }
+ op = optr->ex_vec;
+ j = e->exp_vsize;
+ cp = cond->ex_vec;
+ switch (left->ex_type) {
+ case ET_INT:
+ leftvalue = left->ex_int;
+ switch (right->ex_type) {
+ case ET_INT:
+ rightvalue = right->ex_int;
+ while (j--) {
+ if (*cp++)
+ *op++ = leftvalue;
+ else
+ *op++ = rightvalue;
+ }
+ return;
+ case ET_FLT:
+ rightvalue = right->ex_flt;
+ while (j--) {
+ if (*cp++)
+ *op++ = leftvalue;
+ else
+ *op++ = rightvalue;
+ }
+ return;
+ case ET_VEC:
+ case ET_VI:
+ rp = right->ex_vec;
+ while (j--) {
+ if (*cp++)
+ *op++ = leftvalue;
+ else
+ *op++ = *rp;
+ rp++;
+ }
+ return;
+ case ET_SYM:
+ default:
+ post_error((fts_object_t *) e,
+ "expr: FUNC_EVAL(%d): bad right type %ld\n",
+ __LINE__, right->ex_type);
+ return;
+ }
+ case ET_FLT:
+ leftvalue = left->ex_flt;
+ switch (right->ex_type) {
+ case ET_INT:
+ rightvalue = right->ex_int;
+ while (j--) {
+ if (*cp++)
+ *op++ = leftvalue;
+ else
+ *op++ = rightvalue;
+ }
+ return;
+ case ET_FLT:
+ rightvalue = right->ex_flt;
+ while (j--) {
+ if (*cp++)
+ *op++ = leftvalue;
+ else
+ *op++ = rightvalue;
+ }
+ return;
+ case ET_VEC:
+ case ET_VI:
+ rp = right->ex_vec;
+ while (j--) {
+ if (*cp++)
+ *op++ = leftvalue;
+ else
+ *op++ = *rp;
+ rp++;
+ }
+ return;
+ case ET_SYM:
+ default:
+ post_error((fts_object_t *) e,
+ "expr: FUNC_EVAL(%d): bad right type %ld\n",
+ __LINE__, right->ex_type);
+ return;
+ }
+ case ET_VEC:
+ case ET_VI:
+ lp = left->ex_vec;
+ switch (right->ex_type) {
+ case ET_INT:
+ rightvalue = right->ex_int;
+ while (j--) {
+ if (*cp++)
+ *op++ = *lp;
+ else
+ *op++ = rightvalue;
+ lp++;
+ }
+ return;
+ case ET_FLT:
+ rightvalue = right->ex_flt;
+ while (j--) {
+ if (*cp++)
+ *op++ = *lp;
+ else
+ *op++ = rightvalue;
+ lp++;
+ }
+ return;
+ case ET_VEC:
+ case ET_VI:
+ rp = right->ex_vec;
+ while (j--) {
+ if (*cp++)
+ *op++ = *lp;
+ else
+ *op++ = *rp;
+ lp++; rp++;
+ }
+ return;
+ case ET_SYM:
+ default:
+ post_error((fts_object_t *) e,
+ "expr: FUNC_EVAL(%d): bad right type %ld\n",
+ __LINE__, right->ex_type);
+ return;
+ }
+ case ET_SYM:
+ default:
+ post_error((fts_object_t *) e,
+ "expr: FUNC_EVAL(%d): bad left type %ld\n",
+ __LINE__, left->ex_type);
+ return;
+ }
+ case ET_INT:
+ if (cond->ex_int)
+ res = left;
+ else
+ res = right;
+ break;
+ case ET_FLT:
+ if (cond->ex_flt)
+ res = left;
+ else
+ res = right;
+ break;
+ case ET_SYM:
+ default:
+ post_error((fts_object_t *) e,
+ "expr: FUNC_EVAL(%d): bad condition type %ld\n",
+ __LINE__, cond->ex_type);
+ return;
+ }
+ switch(res->ex_type) {
+ case ET_INT:
+ if (optr->ex_type == ET_VEC) {
+ ex_mkvector(optr->ex_vec, (t_float)res->ex_int,
+ e->exp_vsize);
+ return;
+ }
+ *optr = *res;
+ return;
+ case ET_FLT:
+ if (optr->ex_type == ET_VEC) {
+ ex_mkvector(optr->ex_vec, (t_float)res->ex_flt,
+ e->exp_vsize);
+ return;
+ }
+ *optr = *res;
+ return;
+ case ET_VEC:
+ case ET_VI:
+ if (optr->ex_type != ET_VEC) {
+ if (optr->ex_type == ET_VI) {
+ /* SDY remove this test */
+ post("expr~: Int. error %d", __LINE__);
+ return;
+ }
+ optr->ex_type = ET_VEC;
+ optr->ex_vec = (t_float *)
+ fts_malloc(sizeof (t_float) * e->exp_vsize);
+ }
+ memcpy(optr->ex_vec, res->ex_vec, e->exp_vsize*sizeof(t_float));
+ return;
+ case ET_SYM:
+ default:
+ post_error((fts_object_t *) e,
+ "expr: FUNC_EVAL(%d): bad res type %ld\n",
+ __LINE__, res->ex_type);
+ return;
+ }
+
+}
+
+/*
+ * ex_imodf - extract signed integral value from floating-point number
+ */
+static double
+imodf(double x)
+{
+ double xx;
+
+ modf(x, &xx);
+ return (xx);
+}
+FUNC_DEF_UNARY(ex_imodf, imodf, (double), 1);
+
+/*
+ * ex_modf - extract signed fractional value from floating-point number
+ *
+ * using fracmodf because fmodf() is alrady defined in a .h file
+ */
+static double
+fracmodf(double x)
+{
+ double xx;
+
+ return(modf(x, &xx));
+}
+FUNC_DEF_UNARY(ex_modf, fracmodf, (double), 1);
+
+/*
+ * ex_ldexp - multiply floating-point number by integral power of 2
+ */
+FUNC_DEF(ex_ldexp, ldexp, (double), (int), 1);
+
+#ifndef _WIN32
+/*
+ * ex_cbrt - cube root
+ */
+FUNC_DEF_UNARY(ex_cbrt, cbrt, (double), 1);
+
+/*
+ * ex_erf - error function
+ */
+FUNC_DEF_UNARY(ex_erf, erf, (double), 1);
+
+/*
+ * ex_erfc - complementary error function
+ */
+FUNC_DEF_UNARY(ex_erfc, erfc, (double), 1);
+
+/*
+ * ex_expm1 - exponential minus 1,
+ */
+FUNC_DEF_UNARY(ex_expm1, expm1, (double), 1);
+
+/*
+ * ex_log1p - logarithm of 1 plus
+ */
+FUNC_DEF_UNARY(ex_log1p, log1p, (double), 1);
+
+/*
+ * ex_isinf - is the value infinite,
+ */
+FUNC_DEF_UNARY(ex_isinf, isinf, (double), 0);
+
+/*
+ * ex_finite - is the value finite
+ */
+FUNC_DEF_UNARY(ex_finite, finite, (double), 0);
+
+/*
+ * ex_isnan -- is the resut a nan (Not a number)
+ */
+FUNC_DEF_UNARY(ex_isnan, isnan, (double), 0);
+
+/*
+ * ex_copysign - copy sign of a number
+ */
+FUNC_DEF(ex_copysign, copysign, (double), (double), 1);
+
+/*
+ * ex_drem - floating-point remainder function
+ */
+FUNC_DEF(ex_drem, drem, (double), (double), 1);
+#endif
+
+#ifdef notdef
+/* the following will be added once they are more popular in math libraries */
+/*
+ * ex_hypoth - Euclidean distance function
+ */
+FUNC_DEF(ex_hypoth, hypoth, (double), (double), 1);
+
+/*
+ * ex_round - round to nearest integer, away from zero
+ */
+FUNC_DEF_UNARY(ex_round, round, (double), 1);
+
+/*
+ * ex_trunc - round to interger, towards zero
+ */
+FUNC_DEF_UNARY(ex_trunc, trunc, (double), 1);
+
+/*
+ * ex_nearbyint - round to nearest integer
+ */
+FUNC_DEF_UNARY(ex_nearbyint, nearbyint, (double), 1);
+#endif