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+/* The authors of this software are Rob Pike and Ken Thompson.
+ * Copyright (c) 2002 by Lucent Technologies.
+ * Permission to use, copy, modify, and distribute this software for any
+ * purpose without fee is hereby granted, provided that this entire notice
+ * is included in all copies of any software which is or includes a copy
+ * or modification of this software and in all copies of the supporting
+ * documentation for such software.
+ * THIS SOFTWARE IS BEING PROVIDED "AS IS", WITHOUT ANY EXPRESS OR IMPLIED
+ * WARRANTY. IN PARTICULAR, NEITHER THE AUTHORS NOR LUCENT TECHNOLOGIES MAKE ANY
+ * REPRESENTATION OR WARRANTY OF ANY KIND CONCERNING THE MERCHANTABILITY
+ * OF THIS SOFTWARE OR ITS FITNESS FOR ANY PARTICULAR PURPOSE.
+ */
+
+#include "mupdf/fitz.h"
+
+#include <stdio.h>
+#include <math.h>
+#include <float.h>
+#include <string.h>
+#include <stdlib.h>
+#include <errno.h>
+
+#ifndef INFINITY
+#define INFINITY (DBL_MAX+DBL_MAX)
+#endif
+#ifndef NAN
+#define NAN (INFINITY-INFINITY)
+#endif
+
+typedef unsigned long ulong;
+
+enum { NSIGNIF = 9 };
+
+/*
+ * first few powers of 10
+ */
+static float pows10[] =
+{
+ 1e0, 1e1, 1e2, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9,
+ 1e10, 1e11, 1e12, 1e13, 1e14, 1e15, 1e16, 1e17, 1e18, 1e19,
+ 1e20, 1e21, 1e22, 1e23, 1e24, 1e25, 1e26, 1e27, 1e28, 1e29,
+ 1e30, 1e31, 1e32, 1e33, 1e34, 1e35, 1e36, 1e37, 1e38, 1e39,
+};
+#define npows10 ((int)(sizeof(pows10)/sizeof(pows10[0])))
+#define pow10(x) fmtpow10(x)
+
+static float
+pow10(int n)
+{
+ float d;
+ int neg;
+
+ neg = 0;
+ if(n < 0){
+ neg = 1;
+ n = -n;
+ }
+
+ if(n < npows10)
+ d = pows10[n];
+ else{
+ d = pows10[npows10-1];
+ for(;;){
+ n -= npows10 - 1;
+ if(n < npows10){
+ d *= pows10[n];
+ break;
+ }
+ d *= pows10[npows10 - 1];
+ }
+ }
+ if(neg)
+ return 1./d;
+ return d;
+}
+
+/*
+ * add 1 to the decimal integer string a of length n.
+ * if 99999 overflows into 10000, return 1 to tell caller
+ * to move the virtual decimal point.
+ */
+static int
+xadd1(char *a, int n)
+{
+ char *b;
+ int c;
+
+ if(n < 0 || n > NSIGNIF)
+ return 0;
+ for(b = a+n-1; b >= a; b--) {
+ c = *b + 1;
+ if(c <= '9') {
+ *b = c;
+ return 0;
+ }
+ *b = '0';
+ }
+ /*
+ * need to overflow adding digit.
+ * shift number down and insert 1 at beginning.
+ * decimal is known to be 0s or we wouldn't
+ * have gotten this far. (e.g., 99999+1 => 00000)
+ */
+ a[0] = '1';
+ return 1;
+}
+
+/*
+ * subtract 1 from the decimal integer string a.
+ * if 10000 underflows into 09999, make it 99999
+ * and return 1 to tell caller to move the virtual
+ * decimal point. this way, xsub1 is inverse of xadd1.
+ */
+static int
+xsub1(char *a, int n)
+{
+ char *b;
+ int c;
+
+ if(n < 0 || n > NSIGNIF)
+ return 0;
+ for(b = a+n-1; b >= a; b--) {
+ c = *b - 1;
+ if(c >= '0') {
+ if(c == '0' && b == a) {
+ /*
+ * just zeroed the top digit; shift everyone up.
+ * decimal is known to be 9s or we wouldn't
+ * have gotten this far. (e.g., 10000-1 => 09999)
+ */
+ *b = '9';
+ return 1;
+ }
+ *b = c;
+ return 0;
+ }
+ *b = '9';
+ }
+ /*
+ * can't get here. the number a is always normalized
+ * so that it has a nonzero first digit.
+ */
+ return 0;
+}
+
+/*
+ * format exponent like sprintf(p, "e%+d", e)
+ */
+static void
+fmtexp(char *p, int e)
+{
+ char se[9];
+ int i;
+
+ *p++ = 'e';
+ if(e < 0) {
+ *p++ = '-';
+ e = -e;
+ } else
+ *p++ = '+';
+ i = 0;
+ while(e) {
+ se[i++] = e % 10 + '0';
+ e /= 10;
+ }
+ while(i < 1)
+ se[i++] = '0';
+ while(i > 0)
+ *p++ = se[--i];
+ *p++ = '\0';
+}
+
+/*
+ * compute decimal integer m, exp such that:
+ * f = m*10^exp
+ * m is as short as possible with losing exactness
+ * assumes special cases (NaN, +Inf, -Inf) have been handled.
+ */
+void
+fz_ftoa(float f, char *s, int *exp, int *neg, int *ns)
+{
+ int c, d, e2, e, ee, i, ndigit, oerrno;
+ char tmp[NSIGNIF+10];
+ float g;
+
+ oerrno = errno; /* in case strtod smashes errno */
+
+ /*
+ * make f non-negative.
+ */
+ *neg = 0;
+ if(f < 0) {
+ f = -f;
+ *neg = 1;
+ }
+
+ /*
+ * must handle zero specially.
+ */
+ if(f == 0){
+ *exp = 0;
+ s[0] = '0';
+ s[1] = '\0';
+ *ns = 1;
+ return;
+ }
+
+ /*
+ * find g,e such that f = g*10^e.
+ * guess 10-exponent using 2-exponent, then fine tune.
+ */
+ frexpf(f, &e2);
+ e = (int)(e2 * .301029995664f);
+ g = f * pow10(-e);
+ while(g < 1) {
+ e--;
+ g = f * pow10(-e);
+ }
+ while(g >= 10) {
+ e++;
+ g = f * pow10(-e);
+ }
+
+ /*
+ * convert NSIGNIF digits as a first approximation.
+ */
+ for(i=0; i<NSIGNIF; i++) {
+ d = (int)g;
+ s[i] = d+'0';
+ g = (g-d) * 10;
+ }
+ s[i] = 0;
+
+ /*
+ * adjust e because s is 314159... not 3.14159...
+ */
+ e -= NSIGNIF-1;
+ fmtexp(s+NSIGNIF, e);
+
+ /*
+ * adjust conversion until strtod(s) == f exactly.
+ */
+ for(i=0; i<10; i++) {
+ g = fz_strtod(s, NULL);
+ if(f > g) {
+ if(xadd1(s, NSIGNIF)) {
+ /* gained a digit */
+ e--;
+ fmtexp(s+NSIGNIF, e);
+ }
+ continue;
+ }
+ if(f < g) {
+ if(xsub1(s, NSIGNIF)) {
+ /* lost a digit */
+ e++;
+ fmtexp(s+NSIGNIF, e);
+ }
+ continue;
+ }
+ break;
+ }
+
+ /*
+ * play with the decimal to try to simplify.
+ */
+
+ /*
+ * bump last few digits up to 9 if we can
+ */
+ for(i=NSIGNIF-1; i>=NSIGNIF-3; i--) {
+ c = s[i];
+ if(c != '9') {
+ s[i] = '9';
+ g = fz_strtod(s, NULL);
+ if(g != f) {
+ s[i] = c;
+ break;
+ }
+ }
+ }
+
+ /*
+ * add 1 in hopes of turning 9s to 0s
+ */
+ if(s[NSIGNIF-1] == '9') {
+ strcpy(tmp, s);
+ ee = e;
+ if(xadd1(tmp, NSIGNIF)) {
+ ee--;
+ fmtexp(tmp+NSIGNIF, ee);
+ }
+ g = fz_strtod(tmp, NULL);
+ if(g == f) {
+ strcpy(s, tmp);
+ e = ee;
+ }
+ }
+
+ /*
+ * bump last few digits down to 0 as we can.
+ */
+ for(i=NSIGNIF-1; i>=NSIGNIF-3; i--) {
+ c = s[i];
+ if(c != '0') {
+ s[i] = '0';
+ g = fz_strtod(s, NULL);
+ if(g != f) {
+ s[i] = c;
+ break;
+ }
+ }
+ }
+
+ /*
+ * remove trailing zeros.
+ */
+ ndigit = NSIGNIF;
+ while(ndigit > 1 && s[ndigit-1] == '0'){
+ e++;
+ --ndigit;
+ }
+ s[ndigit] = 0;
+ *exp = e;
+ *ns = ndigit;
+ errno = oerrno;
+}