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arith.cpp.in
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arith.cpp.in
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/*+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
#+
#+ Mumps Bioinformatics Software Library
#+ Copyright (C) 2003, 2004, 2008, 2015, 2016, 2017 by Kevin C. O'Kane
#+
#+ Kevin C. O'Kane
#+ kc.okane@gmail.com
#+ http://www.cs.uni.edu/~okane
#+ http://threadsafebooks.com
#+
#+ 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 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
#+
#++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
// formatted with astyle --style=banner
/* arith.c - Mumps runtime library
*
* Arithmetic functions, which take string operands and produce their
* result in a string. Used to implement the majority of math
* operations in the Mumps to C translation.
*/
#include <iostream>
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <string.h>
#include <limits.h>
#include <mumpsc/defines.h>
#include <mumpsc/fcns.h>
#include <mumpsc/libmpscpp.h>
#include <mumpsc/numSetupDefines.h>
using namespace std;
// floatSize will or will not define BIGFLOAT
@floatSize@
// intLong defined next if 32 bit ints wanted
@intLong@
void sigint(int);
#define NO 0
#define YES 1
#ifdef GCVT
#ifdef BIGFLOAT
#define gcvt_wrapper(x,a) qgcvt(x, @fp_digits@ , a)
#else
#define gcvt_wrapper(x,a) gcvt(x, @fp_digits@ , a)
#endif
#else
#ifdef BIGFLOAT
#define gcvt_wrapper(x,a) sprintf(a, "%.@fp_digits@Lg", x)
#else
#define gcvt_wrapper(x,a) sprintf(a, "%.@fp_digits@g", x)
#endif
#endif
void Mltoa(long i, unsigned char * p) {
#define S_SIZE 128
long j,m,f=0;
long x;
static char t[]="0123456789";
char s[S_SIZE],*p1;
if (i<0) {
f=1;
i=-i;
if (i<0) {
cout << "Integer overflow\n";
sigint(100); /* overflow*/
}
}
if (i <= LONG_MIN || i >= LONG_MAX ) {
cout << "Integer overflow\n";
sigint(100); /* overflow*/
}
if (i<10) {
if (f) *(p++)='-';
*(p++)=t[i];
*p='\0';
return;
}
s[S_SIZE-1]='\0';
for (p1=s+S_SIZE-2; p1!=s; p1--) {
m=i%10;
i=i/10;
*p1=t[m];
if (!i) break;
}
if (f) *(--p1)='-';
strcpy( (char *) p,p1);
}
/*#+=====================================
*#+ log2
*#+=====================================*/
void mps_log2(char *a, char *b) {
#ifndef MULTI_PRECISION
#ifdef BIGFLOAT
gcvt_wrapper(log2l(strtold(b,NULL)),a);
#else
gcvt_wrapper(log2(strtod(b,NULL)),a);
#endif
#else
static mpfr_t fa,fb,fc;
static int f=1;
unsigned long power;
if (f) {
mpfr_init2 (fa, FLT_PRECISION);
mpfr_init2 (fb, FLT_PRECISION);
f=0;
}
mpfr_set_str (fb, b, 10, MPFR_RNDN);
mpfr_log2(fa,fb,MPFR_RNDN);
mpfr_sprintf(a,"%.@fp_digits@RNg",fa);
#endif
return;
}
/*#+=====================================
*#+ log10
*#+=====================================*/
void mps_log10(char *a, char *b) {
#ifndef MULTI_PRECISION
#ifdef BIGFLOAT
gcvt_wrapper(log10l(strtold(b,NULL)),a);
#else
gcvt_wrapper(log10(strtod(b,NULL)),a);
#endif
#else
static mpfr_t fa,fb;
static int f=1;
unsigned long power;
if (f) {
mpfr_init2 (fa, FLT_PRECISION);
mpfr_init2 (fb, FLT_PRECISION);
f=0;
}
mpfr_set_str (fb, b, 10, MPFR_RNDN);
mpfr_log10(fa,fb,MPFR_RNDN);
mpfr_sprintf(a,"%.@fp_digits@RNg",fa);
#endif
return;
}
/*#+=====================================
*#+ log
*#+=====================================*/
void mps_log(char *a, char *b) {
#ifndef MULTI_PRECISION
#ifdef BIGFLOAT
gcvt_wrapper(logl(strtold(b,NULL)),a);
#else
gcvt_wrapper(log(strtod(b,NULL)),a);
#endif
#else
static mpfr_t fa,fb;
static int f=1;
unsigned long power;
if (f) {
mpfr_init2 (fa, FLT_PRECISION);
mpfr_init2 (fb, FLT_PRECISION);
f=0;
}
mpfr_set_str (fb, b, 10, MPFR_RNDN);
mpfr_log(fa,fb,MPFR_RNDN);
mpfr_sprintf(a,"%.@fp_digits@RNg",fa);
#endif
return;
}
/*#+=====================================
*#+ cosine
*#+=====================================*/
void mps_cos(char *a, char *b) {
#ifndef MULTI_PRECISION
#ifdef BIGFLOAT
gcvt_wrapper(cosl(strtold(b,NULL)),a);
#else
gcvt_wrapper(cos(strtod(b,NULL)),a);
#endif
#else
static mpfr_t fa,fb,fc;
static int f=1;
unsigned long power;
if (f) {
mpfr_init2 (fa, FLT_PRECISION);
mpfr_init2 (fb, FLT_PRECISION);
f=0;
}
mpfr_set_str (fb, b, 10, MPFR_RNDN);
mpfr_cos(fa,fb,MPFR_RNDN);
mpfr_sprintf(a,"%.@fp_digits@RNg",fa);
#endif
return;
}
/*#+=====================================
*#+ sine
*#+=====================================*/
void mps_sin(char *a, char *b) {
#ifndef MULTI_PRECISION
#ifdef BIGFLOAT
gcvt_wrapper(sinl(strtold(b,NULL)),a);
#else
gcvt_wrapper(sin(strtod(b,NULL)),a);
#endif
#else
static mpfr_t fa,fb,fc;
static int f=1;
unsigned long power;
if (f) {
mpfr_init2 (fa, FLT_PRECISION);
mpfr_init2 (fb, FLT_PRECISION);
f=0;
}
mpfr_set_str (fb, b, 10, MPFR_RNDN);
mpfr_sin(fa,fb,MPFR_RNDN);
mpfr_sprintf(a,"%.@fp_digits@RNg",fa);
#endif
return;
}
/*#+=====================================
*#+ arc sine
*#+=====================================*/
void mps_asin(char *a, char *b) {
#ifndef MULTI_PRECISION
#ifdef BIGFLOAT
gcvt_wrapper(asinl(strtold(b,NULL)),a);
#else
gcvt_wrapper(asin(strtod(b,NULL)),a);
#endif
#else
static mpfr_t fa,fb,fc;
static int f=1;
unsigned long power;
if (f) {
mpfr_init2 (fa, FLT_PRECISION);
mpfr_init2 (fb, FLT_PRECISION);
f=0;
}
mpfr_set_str (fb, b, 10, MPFR_RNDN);
mpfr_asin(fa,fb,MPFR_RNDN);
mpfr_sprintf(a,"%.@fp_digits@RNg",fa);
#endif
return;
}
/*#+=====================================
*#+ arc cosine
*#+=====================================*/
void mps_acos(char *a, char *b) {
#ifndef MULTI_PRECISION
#ifdef BIGFLOAT
gcvt_wrapper(acosl(strtold(b,NULL)),a);
#else
gcvt_wrapper(acos(strtod(b,NULL)),a);
#endif
#else
static mpfr_t fa,fb,fc;
static int f=1;
unsigned long power;
if (f) {
mpfr_init2 (fa, FLT_PRECISION);
mpfr_init2 (fb, FLT_PRECISION);
f=0;
}
mpfr_set_str (fb, b, 10, MPFR_RNDN);
mpfr_acos(fa,fb,MPFR_RNDN);
mpfr_sprintf(a,"%.@fp_digits@RNg",fa);
#endif
return;
}
/*#+=====================================
*#+ arc tangent
*#+=====================================*/
void mps_atan(char *a, char *b) {
#ifndef MULTI_PRECISION
#ifdef BIGFLOAT
gcvt_wrapper(atanl(strtold(b,NULL)),a);
#else
gcvt_wrapper(atan(strtod(b,NULL)),a);
#endif
#else
static mpfr_t fa,fb,fc;
static int f=1;
unsigned long power;
if (f) {
mpfr_init2 (fa, FLT_PRECISION);
mpfr_init2 (fb, FLT_PRECISION);
f=0;
}
mpfr_set_str (fb, b, 10, MPFR_RNDN);
mpfr_atan(fa,fb,MPFR_RNDN);
mpfr_sprintf(a,"%.@fp_digits@RNg",fa);
#endif
return;
}
/*#+=====================================
*#+ tangent
*#+=====================================*/
void mps_tan(char *a, char *b) {
#ifndef MULTI_PRECISION
#ifdef BIGFLOAT
gcvt_wrapper(tanl(strtold(b,NULL)),a);
#else
gcvt_wrapper(tan(strtod(b,NULL)),a);
#endif
#else
static mpfr_t fa,fb,fc;
static int f=1;
unsigned long power;
if (f) {
mpfr_init2 (fa, FLT_PRECISION);
mpfr_init2 (fb, FLT_PRECISION);
f=0;
}
mpfr_set_str (fb, b, 10, MPFR_RNDN);
mpfr_tan(fa,fb,MPFR_RNDN);
mpfr_sprintf(a,"%.@fp_digits@RNg",fa);
#endif
return;
}
/*#+=====================================
*#+ trunc
*#+=====================================*/
int mps_trunc(char * out, char * in) {
#ifndef MULTI_PRECISION
#ifdef BIGFLOAT
gcvt_wrapper(truncl(strtold(in,NULL)),out);
return 0;
#else
gcvt_wrapper(trunc(strtod(in,NULL)),out);
return 0;
#endif
#else
if (strchr( (char * ) in,'.') ) {
static mpf_t x;
static int f=1;
if (f) {
mpf_init2 (x, FLT_PRECISION);
f=0;
}
gmp_sscanf (in, "%Fg", x);
mpf_trunc(x,x);
gmp_sprintf(out,"%Fg",x);
return 0;
}
strcpy(out,in);
return 0;
#endif
}
/*#+=====================================
*#+ floor
*#+=====================================*/
int mps_floor(char * out, char * in) {
#ifndef MULTI_PRECISION
#ifdef BIGFLOAT
gcvt_wrapper(floorl(strtold(in,NULL)),out);
return 0;
#else
gcvt_wrapper(floor(strtod(in,NULL)),out);
return 0;
#endif
#else
if (strchr( (char * ) in,'.') ) {
static mpf_t x;
static int f=1;
if (f) {
mpf_init2 (x, FLT_PRECISION);
f=0;
}
gmp_sscanf (in, "%Fg", x);
mpf_floor(x,x);
gmp_sprintf(out,"%Fg",x);
for (int i=strlen(out)-1; i>0; i--) {
if (out[i]=='0') out[i]=0;
else break;
}
return 0;
}
strcpy(out,in);
return 0;
#endif
}
/*#+=====================================
*#+ ceil
*#+=====================================*/
int mps_ceil(char * out, char * in) {
#ifndef MULTI_PRECISION
#ifdef BIGFLOAT
gcvt_wrapper(ceill(strtold(in,NULL)),out);
return 0;
#else
gcvt_wrapper(ceil(strtod(in,NULL)),out);
return 0;
#endif
#else
if (strchr( (char * ) in,'.') ) {
static mpf_t x;
static int f=1;
if (f) {
mpf_init2 (x, FLT_PRECISION);
f=0;
}
gmp_sscanf (in, "%Fg", x);
mpf_ceil(x,x);
gmp_sprintf(out,"%Fg",x);
return 0;
}
strcpy(out,in);
return 0;
#endif
}
/*#+=====================================
*#+ sqrt
*#+=====================================*/
int mps_sqrt(char * out, char * in) {
#ifndef MULTI_PRECISION
#ifdef BIGFLOAT
gcvt_wrapper(sqrtl(strtold(in,NULL)),out);
return 0;
#else
gcvt_wrapper(sqrt(strtod(in,NULL)),out);
return 0;
#endif
#else
static mpf_t x;
static int f=1;
if (f) {
mpf_init2 (x, FLT_PRECISION);
f=0;
}
if (numcomp((unsigned char *) in,(unsigned char *) "0")<0) {
printf("Square root of a negative number not permitted.\n");
GlobalExceptionCode=NUMERIC_RANGE;
throw MumpsGlobalException();
}
gmp_sscanf (in, "%Fg", x);
mpf_sqrt(x,x);
gmp_sprintf(out,"%Fg",x);
return 0;
#endif
}
/*#+=====================================
*#+ absolute value
*#+=====================================*/
int mps_abs(char * in, char * out) {
#ifndef MULTI_PRECISION
#ifdef BIGFLOAT
gcvt_wrapper(fabsl(strtold(in,NULL)),out);
return 0;
#else
gcvt_wrapper(fabs(strtod(in,NULL)),out);
return 0;
#endif
#else
if (strchr( (char * ) in,'.') ) {
static mpf_t x;
static int f=1;
if (f) {
mpf_init2 (x, FLT_PRECISION);
f=0;
}
gmp_sscanf (in, "%Fg", x);
mpf_abs(x,x);
gmp_sprintf(out,"%.Fg",x);
return 0;
}
static mpz_t na;
static int f=1;
if (f) {
mpz_init (na);
f=0;
}
if (gmp_sscanf (in, "%Zd", na ) ==0 ) gmp_sscanf("0","%Zd", na);
mpz_abs(na,na);
gmp_sprintf(out,"%Zd",na);
return 0;
#endif
}
static inline int floatstring(const char * p) {
int f=0;
for (; *p!=0; p++) {
if ( isdigit(*p) ||
*p == '-' ||
*p == '+' ) continue;
if ( *p=='.' ||
tolower(*p)=='e' ) {
f=1;
continue;
}
return 0;
}
return f;
}
/*#+=====================================
*#+ add numeric contents of two strings.
*#+=====================================*/
void add(const char *a, const char *b, char *c) {
#define opcode NS_ADD
#include <mumpsc/numSetup.h>
}
char * add1(char const *a, long b, char *c) {
char bb[512];
sprintf(bb,"%ld",b);
add(a,bb,c);
return c;
}
void add2(long a, long b, char *c) {
char aa[512],bb[512];
sprintf(aa,"%ld",a);
sprintf(bb,"%ld",b);
add(aa,bb,c);
return;
}
char * add3(const char *a, double b, char *c) {
char bb[512];
sprintf(bb,"%lf",b);
add(a,bb,c);
return c;
}
/*#+=====================================
*#+ sub numeric contents of two strings.
*#+=====================================*/
void sub(const char *a, const char *b, char *c) {
#define opcode NS_SUB
#include <mumpsc/numSetup.h>
}
/*#+=====================================
*#+ mult numeric contents of two strings.
*#+=====================================*/
void mult(const char *a, const char *b, char *c) {
#define opcode NS_MULT
#include <mumpsc/numSetup.h>
}
/*#+=====================================
*#+ div numeric contents of two strings.
*#+=====================================*/
void divx(const char *a, const char *b, char *c) {
#define opcode NS_DIV
#include <mumpsc/numSetup.h>
}
/*#+=====================================
*#+ modulo numeric contents of two strings.
*#+=====================================*/
void modulo(const char *a, const char *b, char *c) {
// this function is not invoked in bifs.cpp.in
// it is called by the modulo operator
#ifndef MULTI_PRECISION
if ( floatstring(a) || floatstring(b) ) {
#ifdef BIGFLOAT
gcvt_wrapper(fmodl(strtold(a,NULL),strtold(b,NULL)),c);
#else
gcvt_wrapper(fmod(strtod(a,NULL),strtold(b,NULL)),c);
#endif
return;
}
else {
#ifdef intLong
long aa=atoi(a);
long bb=atoi(b);
long cc=aa%bb;
sprintf(c,"%d",cc);
return;
return;
#else
long long aa=atoll(a);
long long bb=atoll(b);
long long cc=aa%bb;
sprintf(c,"%lld",cc);
return;
return;
#endif
}
#else
if ( floatstring(a) || floatstring(b) ) {
printf("\nModulo permited only on integers.\n");
GlobalExceptionCode=NUMERIC_RANGE;
throw MumpsGlobalException();
}
static mpz_t na;
static mpz_t nb;
static mpz_t nc;
static mpz_t zero;
static int f=1;
if (f) {
mpz_init (na);
mpz_init (nb);
mpz_init (nc);
mpz_init (zero);
f=0;
}
if (gmp_sscanf (a, "%Zd", na ) ==0 ) gmp_sscanf("0","%Zd", na);
if (gmp_sscanf (b, "%Zd", nb ) ==0 ) gmp_sscanf("0","%Zd", nb);
if (mpz_cmp(nb,zero)==0) {
printf("*** Zero divisor error in modulo\n");
GlobalExceptionCode=NUMERIC_RANGE;
throw MumpsGlobalException();
}
mpz_mod(nc,na,nb);
gmp_sprintf(c,"%Zd",nc);
#endif
}
/*#+=====================================
*#+ integer division
*#+=====================================*/
void divi(const char *a, const char *b, char *c) { /* int division */
#define opcode NS_INTDIV // int division
#include <mumpsc/numSetup.h>
}
/*#+=====================================
*#+ exp functions
*#+=====================================*/
/*#+=====================================
*#+ exp
*#+=====================================*/
void mps_exp(char *c, char *a) {
#ifndef MULTI_PRECISION
#ifdef BIGFLOAT
long double aa=expl(strtold(a,NULL));
gcvt_wrapper(aa,c);
return;
#else
double aa=exp(strtod(a,NULL));
gcvt_wrapper(aa,c);
return;
#endif
#else
static mpfr_t fa,fc;
static int f=1;
unsigned long power;
if (f) {
mpfr_init2 (fa, FLT_PRECISION);
mpfr_init2 (fc, FLT_PRECISION);
f=0;
}
mpfr_set_str (fa, a, 10, MPFR_RNDN);
mpfr_exp(fc,fa,MPFR_RNDN);
mpfr_sprintf(c,"%.@fp_digits@RNg",fc);
return;
#endif
}
/*#+=====================================
*#+ exp2
*#+=====================================*/
void mps_exp2(char *c, char *a) {
#ifndef MULTI_PRECISION
#ifdef BIGFLOAT
long double aa=exp2l(strtold(a,NULL));
gcvt_wrapper(aa,c);
return;
#else
double aa=exp2(strtod(a,NULL));
gcvt_wrapper(aa,c);
return;
#endif
#else
static mpfr_t fa,fc;
static int f=1;
unsigned long power;
if (f) {
mpfr_init2 (fa, FLT_PRECISION);
mpfr_init2 (fc, FLT_PRECISION);
f=0;
}
mpfr_set_str (fa, a, 10, MPFR_RNDN);
mpfr_exp2(fc,fa,MPFR_RNDN);
mpfr_sprintf(c,"%.@fp_digits@RNg",fc);
return;
#endif
}
/*#+=====================================
*#+ exp10
*#+=====================================*/
void mps_exp10(char *c, char *a) {
#ifndef MULTI_PRECISION
#ifdef BIGFLOAT
long double aa=exp10l(strtold(a,NULL));
gcvt_wrapper(aa,c);
return;
#else
double aa=exp10(strtod(a,NULL));
gcvt_wrapper(aa,c);
return;
#endif
#else
static mpfr_t fa,fc;
static int f=1;
unsigned long power;
if (f) {
mpfr_init2 (fa, FLT_PRECISION);
mpfr_init2 (fc, FLT_PRECISION);
f=0;
}
mpfr_set_str (fa, a, 10, MPFR_RNDN);
mpfr_exp2(fc,fa,MPFR_RNDN);
mpfr_sprintf(c,"%.@fp_digits@RNg",fc);
return;
#endif
}
/*#+=====================================
*#+ justify
*#+=====================================*/
void mps_justify(char *a, char *b, char *c) {
#ifndef MULTI_PRECISION
#ifdef BIGFLOAT
long double fc=strtold(c,NULL);
sprintf(b,a,fc);
return;
#else
double fc=strtod(c,NULL);
sprintf(b,a,fc);
return;
#endif
#else
static mpfr_t fa,fb,fc;
static int f=1;
unsigned long power;
if (f) {
mpfr_init2 (fc, FLT_PRECISION);
f=0;
}
mpfr_set_str (fc, c, 10, MPFR_RNDN);
mpfr_sprintf(b,a,fc);
return;
#endif
}
/*#+=====================================
*#+ exponentiation
*#+=====================================*/
/*#+=====================================
*#+ power version
*#+=====================================*/
void expx(const char *a, const char *b, char *c) {
#ifndef MULTI_PRECISION
#ifdef BIGFLOAT
long double fa=strtold(a,NULL);
long double fb=strtold(b,NULL);
gcvt_wrapper(powl(fa,fb),c);
return;
#else
double fa=strtod(a,NULL);
double fb=strtod(b,NULL);
gcvt_wrapper(pow(fa,fb),c);
return;
#endif
#else
if ( floatstring(a) || floatstring(b) ) {
static mpfr_t fa,fb,fc;
static int f=1;
unsigned long power;
if (f) {
mpfr_init2 (fa, FLT_PRECISION);
mpfr_init2 (fb, FLT_PRECISION);
mpfr_init2 (fc, FLT_PRECISION);
f=0;
}
mpfr_set_str (fa, a, 10, MPFR_RNDN);
mpfr_set_str (fb, b, 10, MPFR_RNDN);
mpfr_pow(fc,fa,fb,MPFR_RNDN);
mpfr_sprintf(c,"%.@fp_digits@RNg",fc);
return;
}
static mpz_t na;
static mpz_t nb;
static mpz_t nc;
unsigned long powr;
static int f=1;
if (f) {
mpz_init (na);
mpz_init (nb);
mpz_init (nc);
f=0;
}
powr=atoll(b);
if (gmp_sscanf (a, "%Zd", na ) ==0 ) gmp_sscanf("0","%Zd", na);
if (gmp_sscanf (b, "%Zd", nb ) ==0 ) gmp_sscanf("0","%Zd", nb);
mpz_pow_ui(nc,na,powr);
gmp_sprintf(c,"%Zd",nc);
#endif
}
/*#+=========================================
*#+ compare numeric contents of two strings.
*#+=========================================*/
int numcomp(unsigned char *aa, unsigned char *bb) {
#ifndef MULTI_PRECISION
if ( floatstring((char *) aa) || floatstring((char *) bb) ) {
#ifdef BIGFLOAT
long double fa=strtold((char *) aa,NULL);
long double fb=strtold((char *) bb,NULL);
#else
double fa=strtod((char *) aa,NULL);
double fb=strtod((char *) bb,NULL);
#endif
if (fa==fb) return 0;
if (fa>fb) return 1;
else return -1;
}
else {
@intSize@ fa=atoll((char *)aa);
@intSize@ fb=atoll((char *)bb);
if (fa==fb) return 0;
if (fa>fb) return 1;
else return -1;
}
#else