File: calculator.c

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wcalc 2.4-1.1
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  • area: main
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  • sloc: ansic: 7,089; objc: 2,002; sh: 890; lex: 816; yacc: 641; makefile: 103
file content (1310 lines) | stat: -rw-r--r-- 30,932 bytes parent folder | download | duplicates (2)
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#ifdef HAVE_CONFIG_H
#include "config.h"
#else
#define HAVE_MPFR_22
#endif
#include <stdlib.h>
#include <stdarg.h>
#include <stdio.h>
#include <math.h>		       /* for HUGE_VAL */
#include <float.h>		       /* for DBL_EPSILON */
#include <ctype.h>		       /* for isalpha() */

#ifndef isnan
# define isnan(x) \
    (sizeof (x) == sizeof (long double) ? isnan_ld (x) \
     : sizeof (x) == sizeof (double) ? isnan_d (x) \
     : isnan_f (x))
static inline int isnan_f  (float       x) { return x != x; }
static inline int isnan_d  (double      x) { return x != x; }
static inline int isnan_ld (long double x) { return x != x; }
#endif

#ifndef isinf
# define isinf(x) \
    (sizeof (x) == sizeof (long double) ? isinf_ld (x) \
     : sizeof (x) == sizeof (double) ? isinf_d (x) \
     : isinf_f (x))
static inline int isinf_f  (float       x) { return isnan (x - x); }
static inline int isinf_d  (double      x) { return isnan (x - x); }
static inline int isinf_ld (long double x) { return isnan (x - x); }
#endif

#if ! defined(HAVE_CONFIG_H) || HAVE_STRING_H
# include <string.h>		       /* for memset() */
#else
# if !HAVE_STRCHR
#  define strchr index
#  define strrchr rindex
# endif
char *strchr(), *strrchr();
#endif

#if ! defined(HAVE_CONFIG_H) || TIME_WITH_SYS_TIME	/* for time() */
# include <sys/time.h>
# include <time.h>
#else
# if HAVE_SYS_TIME_H
#  include <sys/time.h>
# else
#  include <time.h>
# endif
#endif

#include "number.h"

#include "uint32_max.h"
#include "calculator.h"
#include "variables.h"
#include "string_manip.h"
#include "files.h"
#include "number_formatting.h"
#include "add_commas.h"
#include "list.h"
#include "extract_vars.h"
#ifdef MEMWATCH
#include "memwatch.h"
#endif

/* variables everyone needs to get to */
Number last_answer;
char *pretty_answer = NULL;

/* communication with the parser */
char compute = 1;
unsigned int sig_figs = UINT32_MAX;

/* communication with the frontend */
char standard_output = 1;
char not_all_displayed = 0;
char *pa = NULL;

struct _conf conf;

/*
 * These are declared here because they're not in any header files.
 * yyparse() is declared with an empty argument list so that it is
 * compatible with the generated C code from yacc/bison.
 * These two lines are taken from http://www.bgw.org/tutorials/programming/c/lex_yacc/main.c
 */
struct yy_buffer_state;
extern int yyparse();
extern void *yy_scan_string(const char *);
extern void yy_delete_buffer(struct yy_buffer_state *);

static int recursion(char *str);
static int find_recursion(char *);
static int find_recursion_core(List);
static char *flatten(char *str);

void parseme(const char *pthis)
{				       /*{{{ */
    extern int synerrors;
    short numbers = 0;
    char *sanitized;
    extern char *open_file;

    synerrors = 0;
    compute = 1;
    sig_figs = UINT32_MAX;

    Dprintf("parsing: %s\n", pthis);
    sanitized = (char *)strdup(pthis);

    /* Convert to standard notation (american comma and period) if there are
     * numbers */
    // are there numbers?
    {
	unsigned int i;

	for (i = 0; i < strlen(sanitized); ++i) {
	    if (isdigit((int)(sanitized[i]))) {
		numbers = 1;
		break;
	    }
	}
    }
    if (numbers) {
	unsigned int i;

	for (i = 0; i < strlen(sanitized); ++i) {
	    if ((conf.thou_delimiter != '.' && conf.dec_delimiter != '.' &&
		 conf.in_thou_delimiter != '.' && conf.in_dec_delimiter != '.' &&
		 sanitized[i] == '.') || (conf.thou_delimiter != ',' &&
					  conf.in_thou_delimiter != ',' &&
					  conf.dec_delimiter != ',' &&
					  conf.in_dec_delimiter != ',' &&
					  sanitized[i] == ',')) {
		// throw an error
		report_error("Improperly formatted numbers! (%c,%c)\n",
			     conf.thou_delimiter, conf.dec_delimiter);
		synerrors = 1;
		break;
	    } else if (conf.in_thou_delimiter != 0 && sanitized[i] == conf.in_thou_delimiter) {
		sanitized[i] = ',';
	    } else if (conf.in_thou_delimiter == 0 && sanitized[i] == conf.thou_delimiter) {
		sanitized[i] = ',';
	    } else if (conf.in_dec_delimiter != 0 && sanitized[i] == conf.in_dec_delimiter) {
		sanitized[i] = '.';
	    } else if (conf.in_dec_delimiter == 0 && sanitized[i] == conf.dec_delimiter) {
		sanitized[i] = '.';
	    }
	}
    }

    /* Now, check for recursion */
    if (recursion(sanitized)) {
	goto exiting;
    }

    /* now resolve the variables */
    sanitized = flatten(sanitized);
    Dprintf("flattened: '%s'\n", sanitized);

    /* Sanitize the input (add a newline) */
    {
	char *temp;
	unsigned int len = strlen(sanitized) + 3;
	temp = calloc(sizeof(char), len);
	if (!temp) {
	    perror("resizing buffer");
	    goto exiting;
	}
	snprintf(temp, len, "%s\n", sanitized);
	free(sanitized);
	sanitized = temp;
    }
    /* reset the position tracker */
    {
	extern int column;

	column = 0;
    }
    /* Evaluate the Expression
     * These two lines borrowed from:
     * http://www.bgw.org/tutorials/programming/c/lex_yacc/main.c
     * and are here strictly for readline suppport
     */
    {
	struct yy_buffer_state *yy = yy_scan_string(sanitized);

	yyparse();
	yy_delete_buffer(yy);
    }

    if (open_file) {
	char *filename = open_file;
	int retval;

	open_file = NULL;
	Dprintf("open_file\n");
	retval = loadState(filename, 1);
	if (retval) {
	    report_error("Could not load file (%s).",
			 (char *)strerror(retval));
	}
    }
  exiting:
    /* exiting */
    free(sanitized);
    return;
}				       /*}}} */

/* this function should probably stop flattening if it sees a comment, but
 * that's so rare (and hardly processor intensive) that it's not worth digging
 * at the moment */
static char *flatten(char *str)
{				       /*{{{ */
    char *curs = str, *eov, *nstr;
    char *varname, *varvalue;
    size_t olen, nlen, changedlen, varnamelen = 100;
    struct answer a;
    char standard_output_save = standard_output;

    standard_output = 0;

    if (*str == '\\') {
	standard_output = standard_output_save;
	return str;
    }
    curs = strchr(str, '=');
    if (!curs || !*curs || *(curs + 1) == '=')
	curs = str;

    while (curs && *curs) {
	// search for the first letter of a possible variable
	while (curs && *curs && !isalpha((int)(*curs))) {
	    if (*curs == '\\') {
		curs++;
		while (curs && *curs && isalpha((int)(*curs)))
		    curs++;
	    }
	    if (*curs == '\'') {
		curs++;
		while (curs && *curs && *curs != '\'')
		    curs++;
	    }
	    curs++;
	}
	if (!curs || !*curs) {
	    break;
	}
	// pull out that variable
	eov = curs;
	{
	    size_t i = 0;

	    varname = malloc(varnamelen * sizeof(char));
	    while (eov && *eov &&
		   (isalpha((int)(*eov)) || *eov == '_' || *eov == ':' ||
		    isdigit((int)(*eov)))) {
		if (i == varnamelen - 1) {
		    varnamelen += 100;
		    varname = realloc(varname, varnamelen * sizeof(char));
		    if (varname == NULL) {
			perror("flatten: ");
			exit(EXIT_FAILURE);
		    }
		}
		varname[i++] = *eov;
		eov++;
	    }
	    if (i == 0)
		break;
	    varname[i] = 0;
	}
	olen = strlen(varname);

	// if it's a variable, evaluate it
	a = getvar_full(varname);
	if (!a.err) {		       // it is a var
	    Number f;

	    num_init(f);
	    if (a.exp) {	       // it is an expression
		parseme(a.exp);
		num_set(f, last_answer);
	    } else {		       // it is a value
		num_set(f, a.val);
		num_free(a.val);
	    }
	    // get the number
	    {
		char junk;

		// This value must fully reproduce the contents of f (thus, the -2 in arg 4)
		varvalue = num_to_str_complex(f, 10, 0, -2, 1, &junk);
	    }
	    num_free(f);
	} else {		       // not a known var: itza literal (e.g. cos)
	    varvalue = (char *)strdup(varname);
	}
	nlen = strlen(varvalue);
	free(varname);

	// now, put it back in the string
	// it is a var, and needs parenthesis
	changedlen = strlen(str) + nlen - olen + 1;
	if (!a.err)
	    changedlen += 2;	       // space for parens if it's a variable

	nstr = malloc(changedlen);
	if (!nstr) {		       // not enough memory
	    perror("flatten: ");
	    exit(EXIT_FAILURE);
	}
	{
	    char *fromstring = str;
	    char *tostring = nstr;

	    // nstr is the new string, str is the input string
	    tostring = nstr;
	    while (fromstring != curs) {	// copy up to the curs (the beginning of the var name)
		*tostring = *fromstring;
		++fromstring;
		++tostring;
	    }
	    if (!a.err) {
		*tostring = '(';
		++tostring;
	    }
	    fromstring = varvalue;
	    while (fromstring && *fromstring) {
		*tostring = *fromstring;
		++fromstring;
		++tostring;
	    }
	    if (!a.err) {
		*tostring = ')';
		++tostring;
	    }
	    curs = tostring;
	    fromstring = eov;
	    while (fromstring && *fromstring) {
		*tostring = *fromstring;
		++fromstring;
		++tostring;
	    }
	    *tostring = 0;
	    free(str);
	    str = nstr;
	}
	free(varvalue);
    }
    standard_output = standard_output_save;
    return str;
}				       /*}}} */

static int recursion(char *str)
{				       /*{{{ */
    List vlist = NULL;
    int retval = 0;
    char *righthand;

    // do not examine commands
    if (*str == '\\') {
	return 0;
    }
    // do not examine the left side of an assignment
    righthand = strchr(str, '=');
    if (!righthand || !*righthand || *(righthand + 1) == '=') {
	righthand = str;
    }
    vlist = extract_vars(righthand);
    while (listLen(vlist) > 0) {
	char *varname = (char *)getHeadOfList(vlist);

	if (retval == 0) {
	    retval = find_recursion(varname);
	}
	free(varname);
    }
    return retval;
}				       /*}}} */

static int find_recursion(char *instring)
{				       /*{{{ */
    List vl = NULL;
    int retval;

    addToList(&vl, (char *)strdup(instring));
    retval = find_recursion_core(vl);
    free(getHeadOfList(vl));
    return retval;
}				       /*}}} */

static int find_recursion_core(List oldvars)
{				       /*{{{ */
    List newvars = NULL;
    ListIterator oldvarsIterator;
    int retval = 0;
    struct answer a;
    char *newVarname = NULL, *oldVarname = NULL;

    a = getvar_full((char *)peekAheadInList(oldvars));
    if (a.err)
	return 0;
    if (!a.exp) {
	num_free(a.val);
	return 0;
    }

    newvars = extract_vars(a.exp);
    oldvarsIterator = getListIterator(oldvars);
    // for each variable in that expression (i.e. each entry in newvars)
    // see if we've seen it before (i.e. it's in oldvars)
    while (listLen(newvars) > 0) {
	newVarname = (char *)getHeadOfList(newvars);
	while ((oldVarname =
		(char *)nextListElement(oldvarsIterator)) != NULL) {
	    if (!strcmp(newVarname, oldVarname)) {
		report_error
		    ("%s was found twice in symbol descent. Recursive variables are not allowed.",
		     newVarname);
		// free the rest of the newvars list
		do {
		    free(newVarname);
		} while ((newVarname =
			  (char *)getHeadOfList(newvars)) != NULL);
		freeListIterator(oldvarsIterator);
		return 1;
	    }
	}
	// now see if it has recursion
	addToListHead(&oldvars, newVarname);
	retval = find_recursion_core(oldvars);
	getHeadOfList(oldvars);
	resetListIterator(oldvarsIterator);
	free(newVarname);
	if (retval != 0) {
	    break;
	}
    }
    // make sure newvars is empty (so all that memory gets freed)
    while ((newVarname = (char *)getHeadOfList(newvars)) != NULL) {
	free(newVarname);
    }
    freeListIterator(oldvarsIterator);
    return retval;
}				       /*}}} */

void report_error(const char *err_fmt, ...)
{				       /*{{{ */
    extern char *errstring;
    extern int errloc;
    extern int column;
    extern int lines;
    extern int show_line_numbers;
    char *tempstring;
    unsigned int len;
    va_list ap;
    char *this_error;

    va_start(ap, err_fmt);

    this_error = calloc(strlen(err_fmt) + 1000, sizeof(char));
    vsnprintf(this_error, strlen(err_fmt) + 1000, err_fmt, ap);
    len = strlen(this_error) + 100;

    va_end(ap);

    /* okay, now this_error has the current error text in it */

    if (errstring) {
	len += strlen(errstring);
    }
    tempstring = calloc(len, sizeof(char));
    if (errstring) {
	if (show_line_numbers) {
	    snprintf(tempstring, len, "%s\nError on line %i: %s", errstring,
		     lines, this_error);
	} else {
	    snprintf(tempstring, len, "%s\n%s", errstring, this_error);
	}
	free(errstring);
    } else {
	if (show_line_numbers) {
	    snprintf(tempstring, len, "Error on line %i: %s", lines,
		     this_error);
	} else {
	    snprintf(tempstring, len, "%s", this_error);
	}
    }
    errstring = tempstring;
    free(this_error);
    if (errloc == -1) {
	errloc = column;
    }
}				       /*}}} */

void display_and_clear_errstring()
{				       /*{{{ */
    extern int scanerror;
    extern char *errstring;
    extern int errloc;

    if (errstring && errstring[0]) {
	if (errloc != -1) {
	    int i;

	    fprintf(stderr, "   ");
	    for (i = 0; i < errloc; i++) {
		fprintf(stderr, " ");
	    }
	    fprintf(stderr, "^\n");
	    errloc = -1;
	}
	fprintf(stderr, "%s", errstring);
	if (errstring[strlen(errstring) - 1] != '\n')
	    fprintf(stderr, "\n");
	free(errstring);
	errstring = NULL;
	scanerror = 0;
    }
}				       /*}}} */

void set_prettyanswer(const Number num)
{				       /*{{{ */
    char *temp;

    Dprintf("set_prettyanswer\n");
    if (pretty_answer) {
	free(pretty_answer);
    }
    Dprintf("set_prettyanswer - call print_this_result\n");
    temp = print_this_result(num);
    Dprintf("set_prettyanswer: %s\n", temp);
    if (temp) {
	pretty_answer = (char *)strdup(temp);
    } else {
	pretty_answer = NULL;
    }
    Dprintf("set_prettyanswer - done\n");
}				       /*}}} */

static char *print_this_result_dbl(const double result)
{				       /*{{{ */
    char format[10];
    static char *tmp;
    static char pa_dyn = 1;
    extern char *errstring;
    unsigned int decimal_places = 0;

    Dprintf("print_this_result_dbl(%f)\n", result);
    /* Build the "format" string, that will be used in an snprintf later */
    switch (conf.output_format) {      /*{{{ */
	case DECIMAL_FORMAT:
	    if (pa_dyn)
		tmp = realloc(pa, sizeof(char) * 310);
	    else {
		tmp = pa = malloc(sizeof(char) * 310);
		pa_dyn = 1;
	    }
	    if (!tmp) {
		free(pa);
		pa = "Not Enough Memory";
		pa_dyn = 0;
		return pa;
	    } else
		pa = tmp;
	    if (conf.precision > -1) {
		decimal_places = conf.precision;
		switch(conf.engineering) {
		    case never:
			snprintf(format, 10, "%%1.%if", conf.precision);
			break;
		    case always:
			snprintf(format, 10, "%%1.%ie", conf.precision);
			break;
		    case automatic:
			snprintf(format, 10, "%%1.%ig", conf.precision);
			break;
		}
		Dprintf("precision was specified as %i, format string is \"%s\"\n", conf.precision, format);
	    } else {
		switch (conf.engineering) {
		    case never:
			strncpy(format, "%f", 10);
			break;
		    case always:
			strncpy(format, "%e", 10);
			break;
		    case automatic:
			strncpy(format, "%g", 10);
			break;
		}
		Dprintf("precision is automatic, format string is \"%s\"\n", format);
		if (fabs(result) < 10.0) {
		    decimal_places = 6;
		} else if (fabs(result) < 100.0) {
		    decimal_places = 4;
		} else if (fabs(result) < 1000.0) {
		    decimal_places = 3;
		} else if (fabs(result) < 10000.0) {
		    decimal_places = 2;
		} else if (fabs(result) < 100000.0) {
		    decimal_places = 1;
		} else {
		    decimal_places = 0;
		}
	    }
	    break;
	case OCTAL_FORMAT:
	    if (pa_dyn) {
		tmp = realloc(pa, sizeof(char) * 14);
	    } else {
		tmp = pa = malloc(sizeof(char) * 14);
		pa_dyn = 1;
	    }
	    if (!tmp) {
		free(pa);
		pa = "Not Enough Memory";
		pa_dyn = 0;
		return pa;
	    } else {
		pa = tmp;
	    }
	    snprintf(format, 10, conf.print_prefixes ? "%%#o" : "%%o");
	    break;
	case HEXADECIMAL_FORMAT:
	    if (pa_dyn) {
		tmp = realloc(pa, sizeof(char) * 11);
	    } else {
		tmp = pa = malloc(sizeof(char) * 11);
		pa_dyn = 1;
	    }
	    if (!tmp) {
		free(pa);
		pa = "Not Enough Memory";
		pa_dyn = 0;
		return pa;
	    } else {
		pa = tmp;
	    }
	    snprintf(format, 10, conf.print_prefixes ? "%%#x" : "%%x");
	    break;
	case BINARY_FORMAT:
	    // Binary Format can't just use a format string, so
	    // we have to handle it later
	    if (pa_dyn)
		free(pa);
	    pa = NULL;
	    pa_dyn = 1;
	    break;
    }				       /*}}} */

    if (isinf(result)) {
	// if it is infinity, print "Infinity", regardless of format
	if (pa_dyn)
	    tmp = realloc(pa, sizeof(char) * 11);
	else {
	    tmp = pa = malloc(sizeof(char) * 11);
	    pa_dyn = 1;
	}
	if (!tmp) {
	    free(pa);
	    pa = "Not Enough Memory";
	    pa_dyn = 0;
	    return pa;
	} else
	    pa = tmp;
	snprintf(pa, 11, "Infinity");
	not_all_displayed = 0;
    } else if (isnan(result)) {
	// if it is not a number, print "Not a Number", regardless of format
	if (pa_dyn)
	    tmp = realloc(pa, sizeof(char) * 13);
	else {
	    tmp = pa = malloc(sizeof(char) * 13);
	    pa_dyn = 1;
	}
	if (!tmp) {
	    free(pa);
	    pa = "Not Enough Memory";
	    pa_dyn = 0;
	    return pa;
	} else
	    pa = tmp;
	snprintf(pa, 13, "Not a Number");
	not_all_displayed = 0;
    } else {
	char *curs;

	Dprintf("normal numbers (format: %s)\n", format);
	switch (conf.output_format) {  /*{{{ */
	    case DECIMAL_FORMAT:
	    {
		double junk;

		Dprintf("fabs = %f, conf.engineering = %i, conf.print_ints = %i\n", fabs(modf(result, &junk)), conf.engineering, conf.print_ints);
		/* This is the big call */
		/* translation: if we don't have to handle the print_ints special case,
		 * then we can just use the existing format. */
		if (fabs(modf(result, &junk)) != 0.0 ||
		    !conf.print_ints) {
		    snprintf(pa, 310, format, result);
		} else {
		    /* this is the print_ints special case
		     * (note that we strip trailing zeros) */
		    snprintf(pa, 310, "%1.0f", result);
		}
		Dprintf("pa (unlocalized): %s\n", pa);
		/* was it as good for you as it was for me?
		 * now, you must localize it */
		strswap('.',conf.dec_delimiter,pa);
		
		Dprintf("pa: %s\n", pa);
		switch (conf.rounding_indication) {
		    case SIMPLE_ROUNDING_INDICATION:
			Dprintf("simple\n");
			not_all_displayed =
			    (modf(result * pow(10, decimal_places), &junk)) ?
			    1 : 0;
			break;
		    case SIG_FIG_ROUNDING_INDICATION:
			Dprintf("sigfig\n");
			if (sig_figs < UINT32_MAX) {
			    unsigned int t = count_digits(pa);

			    Dprintf("digits in pa: %u (%u)\n", t, sig_figs);
			    if (pa[0] == '0' && pa[1] != '\0') {
				--t;
			    } else if (pa[0] == '-' && pa[1] == '0') {
				--t;
			    }
			    not_all_displayed = (t < sig_figs);
			} else {
			    not_all_displayed = 1;
			}
			break;
		    default:
		    case NO_ROUNDING_INDICATION:
			Dprintf("none\n");
			not_all_displayed = 0;
			break;
		}
	    }
		break;
	    case HEXADECIMAL_FORMAT:
		curs = pa + (conf.print_prefixes ? 2 : 0);
		strswap('.',conf.dec_delimiter,pa);
	    case OCTAL_FORMAT:
		curs = pa + (conf.print_prefixes ? 1 : 0);
		{
		    long int temp = result;
		    unsigned int t = 0;

		    snprintf(pa, 310, format, temp);
		    if (conf.rounding_indication ==
			SIG_FIG_ROUNDING_INDICATION) {
			if (sig_figs < UINT32_MAX) {
			    while (curs && *curs) {
				++t;
				++curs;
			    }
			    not_all_displayed = (t < sig_figs);
			} else {
			    not_all_displayed = 0;
			}
		    } else {
			not_all_displayed = 0;
		    }
		}
		strswap('.',conf.dec_delimiter,pa);
		break;
	    case BINARY_FORMAT:
	    {
		int i, place = -1;

		// if it is binary, format it, and print it
		// first, find the upper limit
		for (i = 1; place == -1; ++i) {
		    if (result < pow(2.0, i))
			place = i - 1;
		}
		pa = calloc(sizeof(char),
			    (place + (conf.print_prefixes * 2) + 1));
		if (!pa) {
		    pa = "Not Enough Memory";
		    pa_dyn = 0;
		    return pa;
		}
		if (conf.print_prefixes) {
		    pa[0] = '0';
		    pa[1] = 'b';
		}
		// print it
		{
		    double temp = result;
		    for (i = conf.print_prefixes * 2; place >= 0; ++i) {
			double t = pow(2.0, place);

			if (temp >= t) {
			    pa[i] = '1';
			    temp -= t;
			} else {
			    pa[i] = '0';
			}
			--place;
		    }
		}
		pa[i + 1] = 0;

		if (sig_figs < UINT32_MAX) {
		    if (conf.rounding_indication ==
			SIG_FIG_ROUNDING_INDICATION) {
			not_all_displayed =
			    count_digits(pa + (conf.print_prefixes ? 2 : 0)) <
			    sig_figs;
		    } else {
			not_all_displayed = 0;
		    }
		} else {
		    not_all_displayed = 0;
		}
		strswap('.',conf.dec_delimiter,pa);
	    }			       // binary format
	}			       /*}}} */
    }				       // if

    if (conf.print_commas) {
	char *str = add_commas(pa, conf.output_format);

	if (str) {
	    free(pa);
	    pa = str;
	}
    }

    if (standard_output) {
	if (errstring && strlen(errstring)) {
	    display_and_clear_errstring();
	}
	printf("%s%s\n",
	       conf.print_equal ? (not_all_displayed ? "~= " : " = ")
	       : (not_all_displayed ? "~" : ""), pa);
    }

    return pa;
}				       /*}}} */

char *print_this_result(const Number result)
{				       /*{{{ */
    extern char *errstring;
    unsigned int base = 0;

    Dprintf("print_this_result (%f) in format %i\n",
	    num_get_d(result), conf.output_format);
    // output in the proper base and format
    switch (conf.output_format) {
	case HEXADECIMAL_FORMAT:
	    base = 16;
	    break;
	default:
	case DECIMAL_FORMAT:
	    // if you want precision_guard and automatic precision,
	    // then we have to go with the tried and true "double" method
	    // ... unless it's an int and you want ints printed whole

	    // I know that DBL_EPSILON can be calculated like so:
	    // 2^(mpfr_get_prec(result)-1) HOWEVER, printf magically handles
	    // numbers like 5.1 that I don't even wanna begin to think about
	    if (conf.precision_guard && conf.precision < 0) {
		Dprintf("precision guard and automatic precision\n");
		if (!conf.print_ints || !is_int(result)) {
		    Dprintf("no print_ints or it isn't an int\n");
		    //XXX: what is the following if() for?
		    //if (mpfr_get_d(result, GMP_RNDN) !=
		    //mpfr_get_si(result, GMP_RNDN)) {
		    double res = num_get_d(result);

		    if (fabs(res) < DBL_EPSILON) {
			res = 0.0;
		    }
		    return print_this_result_dbl(res);
		    //}
		}
	    }
	    base = 10;
	    break;
	case OCTAL_FORMAT:
	    base = 8;
	    break;
	case BINARY_FORMAT:
	    base = 2;
	    break;
    }
    if (pa != NULL) {
	free(pa);
    }
    not_all_displayed = 0;
    pa = num_to_str_complex(result, base, conf.engineering, conf.precision,
			    conf.print_prefixes, &not_all_displayed);
    Dprintf("not_all_displayed = %i\n", not_all_displayed);

    /* now, decide whether it's been rounded or not */
    if (num_is_inf(result) || num_is_nan(result)) {
	// if it is infinity, it's all there ;)
	not_all_displayed = 0;
    } else if (not_all_displayed == 0) {
	/* rounding guess */
	switch (conf.rounding_indication) {
	    case SIMPLE_ROUNDING_INDICATION:
	    {
		char *pa2, junk;

		Dprintf("simple full\n");

		pa2 =
		    num_to_str_complex(result, base, conf.engineering, -2,
				       conf.print_prefixes, &junk);
		not_all_displayed = (strlen(pa) < strlen(pa2));
		free(pa2);
	    }
		break;
	    case SIG_FIG_ROUNDING_INDICATION:
		/* sig_figs is how many we need to display */
		Dprintf("sigfig full\n");
		if (sig_figs < UINT32_MAX) {
		    unsigned int t = count_digits(pa);

		    Dprintf("digits in pa: %u (%u)\n", t, sig_figs);
		    not_all_displayed = (t < sig_figs);
		} else {
		    not_all_displayed = 0;
		}
		break;
	    default:
	    case NO_ROUNDING_INDICATION:
		Dprintf("none full\n");
		not_all_displayed = 0;
		break;
	}
    }
    if (conf.rounding_indication == NO_ROUNDING_INDICATION) {
	not_all_displayed = 0;
    }
    strswap('.',conf.dec_delimiter,pa);
    // add commas
    if (conf.print_commas) {
	char *str = add_commas(pa, conf.output_format);

	if (str) {
	    free(pa);
	    pa = str;
	}
    }

    if (standard_output) {
	if (errstring && strlen(errstring)) {
	    display_and_clear_errstring();
	}
	printf("%s%s\n",
	       conf.print_equal ? (not_all_displayed ? "~= " : " = ")
	       : (not_all_displayed ? "~" : ""), pa);
    }

    return pa;
}				       /*}}} */

void simple_exp(Number output, const Number first, const enum operations op,
		const Number second)
{				       /*{{{ */
    if (compute) {
	Number temp;

	num_init(temp);
	Dprintf("simple_exp: %f %i %f\n", num_get_d(first), op,
		num_get_d(second));

	switch (op) {
	    default:
		num_set_d(output, 0.0);
		break;
	    case wequal:
		num_set_ui(output, num_is_equal(first, second));
		break;
	    case wnequal:
		num_set_ui(output, !num_is_equal(first, second));
		break;
	    case wgt:
		num_set_ui(output, num_is_greater(first, second));
		break;
	    case wlt:
		num_set_ui(output, num_is_less(first, second));
		break;
	    case wgeq:
		num_set_ui(output, num_is_greaterequal(first, second));
		break;
	    case wleq:
		num_set_ui(output, num_is_lessequal(first, second));
		break;
	    case wplus:
		num_add(output, first, second);
		break;
	    case wminus:
		num_sub(output, first, second);
		break;
	    case wmult:
		num_mul(output, first, second);
		break;
	    case wdiv:
		num_div(output, first, second);
		break;
	    case wpow:
		num_pow(output, first, second);
		break;
	    case wor:
		num_set_ui(output, (!num_is_zero(first)) ||
			    (!num_is_zero(second)));
		break;
	    case wand:
		num_set_ui(output, (!num_is_zero(first)) &&
			    (!num_is_zero(second)));
		break;
	    case wbor:
		num_bor(output, first, second);
		break;
	    case wband:
		num_band(output, first, second);
		break;
	    case wbxor:
		num_bxor(output, first, second);
		break;
	    case wlshft:
		num_set_ui(temp, 2);
		num_pow(temp, temp, second);
		num_mul(output, first, temp);
		break;
	    case wrshft:
		num_set_ui(temp, 2);
		num_pow(temp, temp, second);
		num_div(output, first, temp);
		if (is_int(first)) {
		    num_trunc(output, output);
		}
		break;
	    case wmod:
		if (num_is_zero(second)) {
		    num_set_nan(output);
		} else {
		    /* divide, round to zero, multiply, subtract
		     *
		     * in essence, find the value x in the equation:
		     * first = second * temp + x */
		    num_div(output, first, second);
		    if (conf.c_style_mod) {
			num_rintz(output, output);	// makes zeros work
		    } else {
			if (num_sign(first) >= 0) {
			    num_floor(output, output);
			} else {
			    num_ceil(output, output);
			}
		    }
		    num_mul(output, output, second);
		    num_sub(output, first, output);
		}
		break;
	}
	Dprintf("returns: %f\n", num_get_d(output));
	num_free(temp);
	return;
    } else {
	num_set_ui(output, 0);
	return;
    }
}				       /*}}} */

void uber_function(Number output, const enum functions func, Number input)
{				       /*{{{ */
    if (compute) {
	Number temp;

	num_init(temp);
	if (!conf.use_radians) {
	    switch (func) {
		case wsin:
		case wcos:
		case wtan:
		case wcot:
		case wsec:
		case wcsc:
		    num_const_pi(temp);
		    num_mul(input, input, temp);
		    num_div_ui(input, input, 180);
		    break;
		case wasin:
		case wacos:
		case watan:
		case wacot:
		case wasec:
		case wacsc:
		    num_const_pi(temp);
		    num_pow_si(temp, temp, -1);
		    num_mul_ui(temp, temp, 180);
		    break;
		default:
		    break;
	    }
	}
	switch (func) {
	    case wsin:
		num_sin(output, input);
		break;
	    case wcos:
		num_cos(output, input);
		break;
	    case wtan:
		num_tan(output, input);
		break;
	    case wcot:
		num_cot(output, input);
		break;
	    case wsec:
		num_sec(output, input);
		break;
	    case wcsc:
		num_csc(output, input);
		break;
	    case wasin:
		num_asin(output, input);
		if (!conf.use_radians) {
		    num_mul(output, output, temp);
		}
		break;
	    case wacos:
		num_acos(output, input);
		if (!conf.use_radians) {
		    num_mul(output, output, temp);
		}
		break;
	    case watan:
		num_atan(output, input);
		if (!conf.use_radians) {
		    num_mul(output, output, temp);
		}
		break;
	    case wacot:
		num_pow_si(output, input, -1);
		num_atan(output, output);
		if (!conf.use_radians) {
		    num_mul(output, output, temp);
		}
		break;
	    case wasec:
		num_pow_si(output, input, -1);
		num_acos(output, output);
		if (!conf.use_radians) {
		    num_mul(output, output, temp);
		}
		break;
	    case wacsc:
		num_pow_si(output, input, -1);
		num_asin(output, output);
		if (!conf.use_radians) {
		    num_mul(output, output, temp);
		}
		break;
	    case wsinh:
		num_sinh(output, input);
		break;
	    case wcosh:
		num_cosh(output, input);
		break;
	    case wtanh:
		num_tanh(output, input);
		break;
	    case wcoth:
		num_coth(output, input);
		break;
	    case wsech:
		num_sech(output, input);
		break;
	    case wcsch:
		num_csch(output, input);
		break;
	    case wasinh:
		num_asinh(output, input);
		break;
	    case wacosh:
		num_acosh(output, input);
		break;
	    case watanh:
		num_atanh(output, input);
		break;
	    case wacoth:
		num_acoth(output, input);
		break;
	    case wasech:
		num_asech(output, input);
		break;
	    case wacsch:
		num_acsch(output, input);
		break;
	    case wlog:
		num_log10(output, input);
		break;
	    case wlogtwo:
		num_log2(output, input);
		break;
	    case wln:
		num_log(output, input);
		break;
	    case wround:
		num_rint(output, input);
		break;
	    case wneg:
		num_neg(output, input);
		break;
	    case wnot:
		num_set_ui(output, num_is_zero(input));
		break;
	    case wabs:
		num_abs(output, input);
		break;
	    case wsqrt:
		num_sqrt(output, input);
		break;
	    case wfloor:
		num_floor(output, input);
		break;
	    case wceil:
		num_ceil(output, input);
		break;
	    case wrand:
		while (num_random(output) != 0) ;
		num_mul(output, output, input);
		if (num_cmp_si(input, 0) < 0) {
		    num_mul_si(output, output, -1);
		}
		break;
	    case wirand:
		while (num_random(output) != 0) ;
		num_mul(output, output, input);
		if (num_cmp_si(input, 0) < 0) {
		    num_mul_si(output, output, -1);
		}
		num_rint(output, output);
		break;
	    case wcbrt:
		num_cbrt(output, input);
		break;
	    case wexp:
		num_exp(output, input);
		break;
	    case wfact:
		num_factorial(output, num_get_ui(input));
		break;
	    case wcomp:
		num_comp(output, input);
		break;
#ifdef HAVE_MPFR_22
	    case weint:
		num_eint(output, input);
		break;
#endif
	    case wgamma:
		num_gamma(output, input);
		break;
#ifdef HAVE_MPFR_22
	    case wlngamma:
		num_lngamma(output, input);
		break;
#endif
	    case wzeta:
		num_zeta(output, input);
		break;
	    case wsinc:
		num_sinc(output, input);
		break;
	    case wbnot:
		num_bnot(output, input);
		break;
	    default:
		num_set(output, input);
		break;
	}
	num_free(temp);
	return;
    } else {
	num_set_ui(output, 0);
	return;
    }
}				       /*}}} */

char *output_string(const unsigned int o)
{				       /*{{{ */
    switch (o) {
	case HEXADECIMAL_FORMAT:
	    return "hexadecimal format (0xf)";
	case OCTAL_FORMAT:
	    return "octal format (08)       ";
	case BINARY_FORMAT:
	    return "binary format (0b1)     ";
	case DECIMAL_FORMAT:
	    return "decimal format (9)      ";
	default:
	    return "error, unknown format   ";
    }
}				       /*}}} */