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/* sin, cos, etc, for S-Lang */
/* Copyright (c) 1992, 1999, 2001 John E. Davis
* This file is part of the S-Lang library.
*
* You may distribute under the terms of either the GNU General Public
* License or the Perl Artistic License.
*/
#include "slinclud.h"
#include <math.h>
#include "slang.h"
#include "_slang.h"
#ifdef PI
# undef PI
#endif
#define PI 3.14159265358979323846264338327950288
#if defined(__unix__)
#include <signal.h>
#include <errno.h>
#define SIGNAL SLsignal
static void math_floating_point_exception (int sig)
{
sig = errno;
if (SLang_Error == 0) SLang_Error = SL_FLOATING_EXCEPTION;
(void) SIGNAL (SIGFPE, math_floating_point_exception);
errno = sig;
}
#endif
double SLmath_hypot (double x, double y)
{
double fr, fi, ratio;
fr = fabs(x);
fi = fabs(y);
if (fr > fi)
{
ratio = y / x;
x = fr * sqrt (1.0 + ratio * ratio);
}
else if (fi == 0.0) x = 0.0;
else
{
ratio = x / y;
x = fi * sqrt (1.0 + ratio * ratio);
}
return x;
}
/* usage here is a1 a2 ... an n x ==> a1x^n + a2 x ^(n - 1) + ... + an */
static double math_poly (void)
{
int n;
double xn = 1.0, sum = 0.0;
double an, x;
if ((SLang_pop_double(&x, NULL, NULL))
|| (SLang_pop_integer(&n))) return(0.0);
while (n-- > 0)
{
if (SLang_pop_double(&an, NULL, NULL)) break;
sum += an * xn;
xn = xn * x;
}
return (double) sum;
}
static int double_math_op_result (int op, unsigned char a, unsigned char *b)
{
(void) op;
if (a != SLANG_FLOAT_TYPE)
*b = SLANG_DOUBLE_TYPE;
else
*b = a;
return 1;
}
#ifdef HAVE_ASINH
# define ASINH_FUN asinh
#else
# define ASINH_FUN my_asinh
static double my_asinh (double x)
{
return log (x + sqrt (x*x + 1));
}
#endif
#ifdef HAVE_ACOSH
# define ACOSH_FUN acosh
#else
# define ACOSH_FUN my_acosh
static double my_acosh (double x)
{
return log (x + sqrt(x*x - 1)); /* x >= 1 */
}
#endif
#ifdef HAVE_ATANH
# define ATANH_FUN atanh
#else
# define ATANH_FUN my_atanh
static double my_atanh (double x)
{
return 0.5 * log ((1.0 + x)/(1.0 - x)); /* 0 <= x^2 < 1 */
}
#endif
static int double_math_op (int op,
unsigned char type, VOID_STAR ap, unsigned int na,
VOID_STAR bp)
{
double *a, *b;
unsigned int i;
double (*fun) (double);
(void) type;
a = (double *) ap;
b = (double *) bp;
switch (op)
{
default:
return 0;
case SLMATH_SINH:
fun = sinh;
break;
case SLMATH_COSH:
fun = cosh;
break;
case SLMATH_TANH:
fun = tanh;
break;
case SLMATH_TAN:
fun = tan;
break;
case SLMATH_ASIN:
fun = asin;
break;
case SLMATH_ACOS:
fun = acos;
break;
case SLMATH_ATAN:
fun = atan;
break;
case SLMATH_EXP:
fun = exp;
break;
case SLMATH_LOG:
fun = log;
break;
case SLMATH_LOG10:
fun = log10;
break;
case SLMATH_SQRT:
fun = sqrt;
break;
case SLMATH_SIN:
fun = sin;
break;
case SLMATH_COS:
fun = cos;
break;
case SLMATH_ASINH:
fun = ASINH_FUN;
break;
case SLMATH_ATANH:
fun = ATANH_FUN;
break;
case SLMATH_ACOSH:
fun = ACOSH_FUN;
break;
case SLMATH_CONJ:
case SLMATH_REAL:
for (i = 0; i < na; i++)
b[i] = a[i];
return 1;
case SLMATH_IMAG:
for (i = 0; i < na; i++)
b[i] = 0.0;
return 1;
}
for (i = 0; i < na; i++)
b[i] = (*fun) (a[i]);
return 1;
}
static int float_math_op (int op,
unsigned char type, VOID_STAR ap, unsigned int na,
VOID_STAR bp)
{
float *a, *b;
unsigned int i;
double (*fun) (double);
(void) type;
a = (float *) ap;
b = (float *) bp;
switch (op)
{
default:
return 0;
case SLMATH_SINH:
fun = sinh;
break;
case SLMATH_COSH:
fun = cosh;
break;
case SLMATH_TANH:
fun = tanh;
break;
case SLMATH_TAN:
fun = tan;
break;
case SLMATH_ASIN:
fun = asin;
break;
case SLMATH_ACOS:
fun = acos;
break;
case SLMATH_ATAN:
fun = atan;
break;
case SLMATH_EXP:
fun = exp;
break;
case SLMATH_LOG:
fun = log;
break;
case SLMATH_LOG10:
fun = log10;
break;
case SLMATH_SQRT:
fun = sqrt;
break;
case SLMATH_SIN:
fun = sin;
break;
case SLMATH_COS:
fun = cos;
break;
case SLMATH_ASINH:
fun = ASINH_FUN;
break;
case SLMATH_ATANH:
fun = ATANH_FUN;
break;
case SLMATH_ACOSH:
fun = ACOSH_FUN;
break;
case SLMATH_CONJ:
case SLMATH_REAL:
for (i = 0; i < na; i++)
b[i] = a[i];
return 1;
case SLMATH_IMAG:
for (i = 0; i < na; i++)
b[i] = 0.0;
return 1;
}
for (i = 0; i < na; i++)
b[i] = (float) (*fun) ((double) a[i]);
return 1;
}
static int generic_math_op (int op,
unsigned char type, VOID_STAR ap, unsigned int na,
VOID_STAR bp)
{
double *b;
unsigned int i;
SLang_To_Double_Fun_Type to_double;
double (*fun) (double);
unsigned int da;
char *a;
if (NULL == (to_double = SLarith_get_to_double_fun (type, &da)))
return 0;
b = (double *) bp;
a = (char *) ap;
switch (op)
{
default:
return 0;
case SLMATH_SINH:
fun = sinh;
break;
case SLMATH_COSH:
fun = cosh;
break;
case SLMATH_TANH:
fun = tanh;
break;
case SLMATH_TAN:
fun = tan;
break;
case SLMATH_ASIN:
fun = asin;
break;
case SLMATH_ACOS:
fun = acos;
break;
case SLMATH_ATAN:
fun = atan;
break;
case SLMATH_EXP:
fun = exp;
break;
case SLMATH_LOG:
fun = log;
break;
case SLMATH_LOG10:
fun = log10;
break;
case SLMATH_SQRT:
fun = sqrt;
break;
case SLMATH_SIN:
fun = sin;
break;
case SLMATH_COS:
fun = cos;
break;
case SLMATH_ASINH:
fun = ASINH_FUN;
break;
case SLMATH_ATANH:
fun = ATANH_FUN;
break;
case SLMATH_ACOSH:
fun = ACOSH_FUN;
break;
case SLMATH_CONJ:
case SLMATH_REAL:
for (i = 0; i < na; i++)
{
b[i] = to_double((VOID_STAR) a);
a += da;
}
return 1;
case SLMATH_IMAG:
for (i = 0; i < na; i++)
b[i] = 0.0;
return 1;
}
for (i = 0; i < na; i++)
{
b[i] = (*fun) (to_double ((VOID_STAR) a));
a += da;
}
return 1;
}
#if SLANG_HAS_COMPLEX
static int complex_math_op_result (int op, unsigned char a, unsigned char *b)
{
(void) a;
switch (op)
{
default:
*b = SLANG_COMPLEX_TYPE;
break;
case SLMATH_REAL:
case SLMATH_IMAG:
*b = SLANG_DOUBLE_TYPE;
break;
}
return 1;
}
static int complex_math_op (int op,
unsigned char type, VOID_STAR ap, unsigned int na,
VOID_STAR bp)
{
double *a, *b;
unsigned int i;
unsigned int na2 = na * 2;
double *(*fun) (double *, double *);
(void) type;
a = (double *) ap;
b = (double *) bp;
switch (op)
{
default:
return 0;
case SLMATH_REAL:
for (i = 0; i < na; i++)
b[i] = a[2 * i];
return 1;
case SLMATH_IMAG:
for (i = 0; i < na; i++)
b[i] = a[2 * i + 1];
return 1;
case SLMATH_CONJ:
for (i = 0; i < na2; i += 2)
{
b[i] = a[i];
b[i+1] = -a[i+1];
}
return 1;
case SLMATH_ATANH:
fun = SLcomplex_atanh;
break;
case SLMATH_ACOSH:
fun = SLcomplex_acosh;
break;
case SLMATH_ASINH:
fun = SLcomplex_asinh;
break;
case SLMATH_EXP:
fun = SLcomplex_exp;
break;
case SLMATH_LOG:
fun = SLcomplex_log;
break;
case SLMATH_LOG10:
fun = SLcomplex_log10;
break;
case SLMATH_SQRT:
fun = SLcomplex_sqrt;
break;
case SLMATH_SIN:
fun = SLcomplex_sin;
break;
case SLMATH_COS:
fun = SLcomplex_cos;
break;
case SLMATH_SINH:
fun = SLcomplex_sinh;
break;
case SLMATH_COSH:
fun = SLcomplex_cosh;
break;
case SLMATH_TANH:
fun = SLcomplex_tanh;
break;
case SLMATH_TAN:
fun = SLcomplex_tan;
break;
case SLMATH_ASIN:
fun = SLcomplex_asin;
break;
case SLMATH_ACOS:
fun = SLcomplex_acos;
break;
case SLMATH_ATAN:
fun = SLcomplex_atan;
break;
}
for (i = 0; i < na2; i += 2)
(void) (*fun) (b + i, a + i);
return 1;
}
#endif
static SLang_DConstant_Type DConst_Table [] =
{
MAKE_DCONSTANT("E", 2.718281828459045),
MAKE_DCONSTANT("PI", 3.14159265358979323846264338327950288),
SLANG_END_DCONST_TABLE
};
static SLang_Math_Unary_Type SLmath_Table [] =
{
MAKE_MATH_UNARY("sinh", SLMATH_SINH),
MAKE_MATH_UNARY("asinh", SLMATH_ASINH),
MAKE_MATH_UNARY("cosh", SLMATH_COSH),
MAKE_MATH_UNARY("acosh", SLMATH_ACOSH),
MAKE_MATH_UNARY("tanh", SLMATH_TANH),
MAKE_MATH_UNARY("atanh", SLMATH_ATANH),
MAKE_MATH_UNARY("sin", SLMATH_SIN),
MAKE_MATH_UNARY("cos", SLMATH_COS),
MAKE_MATH_UNARY("tan", SLMATH_TAN),
MAKE_MATH_UNARY("atan", SLMATH_ATAN),
MAKE_MATH_UNARY("acos", SLMATH_ACOS),
MAKE_MATH_UNARY("asin", SLMATH_ASIN),
MAKE_MATH_UNARY("exp", SLMATH_EXP),
MAKE_MATH_UNARY("log", SLMATH_LOG),
MAKE_MATH_UNARY("sqrt", SLMATH_SQRT),
MAKE_MATH_UNARY("log10", SLMATH_LOG10),
#if SLANG_HAS_COMPLEX
MAKE_MATH_UNARY("Real", SLMATH_REAL),
MAKE_MATH_UNARY("Imag", SLMATH_IMAG),
MAKE_MATH_UNARY("Conj", SLMATH_CONJ),
#endif
SLANG_END_MATH_UNARY_TABLE
};
static SLang_Intrin_Fun_Type SLang_Math_Table [] =
{
MAKE_INTRINSIC_0("polynom", math_poly, SLANG_DOUBLE_TYPE),
SLANG_END_INTRIN_FUN_TABLE
};
int SLang_init_slmath (void)
{
unsigned char *int_types;
#if defined(__unix__)
(void) SIGNAL (SIGFPE, math_floating_point_exception);
#endif
int_types = _SLarith_Arith_Types;
while (*int_types != SLANG_FLOAT_TYPE)
{
if (-1 == SLclass_add_math_op (*int_types, generic_math_op, double_math_op_result))
return -1;
int_types++;
}
if ((-1 == SLclass_add_math_op (SLANG_FLOAT_TYPE, float_math_op, double_math_op_result))
|| (-1 == SLclass_add_math_op (SLANG_DOUBLE_TYPE, double_math_op, double_math_op_result))
#if SLANG_HAS_COMPLEX
|| (-1 == SLclass_add_math_op (SLANG_COMPLEX_TYPE, complex_math_op, complex_math_op_result))
#endif
)
return -1;
if ((-1 == SLadd_math_unary_table (SLmath_Table, "__SLMATH__"))
|| (-1 == SLadd_intrin_fun_table (SLang_Math_Table, NULL))
|| (-1 == SLadd_dconstant_table (DConst_Table, NULL)))
return -1;
return 0;
}
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