Index: fusl/src/internal/floatscan.c |
diff --git a/fusl/src/internal/floatscan.c b/fusl/src/internal/floatscan.c |
new file mode 100644 |
index 0000000000000000000000000000000000000000..eef70df9d6bc03ac463ae8eaa6419c9b8577e78f |
--- /dev/null |
+++ b/fusl/src/internal/floatscan.c |
@@ -0,0 +1,504 @@ |
+#include <stdint.h> |
+#include <stdio.h> |
+#include <math.h> |
+#include <float.h> |
+#include <limits.h> |
+#include <errno.h> |
+#include <ctype.h> |
+ |
+#include "shgetc.h" |
+#include "floatscan.h" |
+ |
+#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024 |
+ |
+#define LD_B1B_DIG 2 |
+#define LD_B1B_MAX 9007199, 254740991 |
+#define KMAX 128 |
+ |
+#elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384 |
+ |
+#define LD_B1B_DIG 3 |
+#define LD_B1B_MAX 18, 446744073, 709551615 |
+#define KMAX 2048 |
+ |
+#elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384 |
+ |
+#define LD_B1B_DIG 4 |
+#define LD_B1B_MAX 10384593, 717069655, 257060992, 658440191 |
+#define KMAX 2048 |
+ |
+#else |
+#error Unsupported long double representation |
+#endif |
+ |
+#define MASK (KMAX-1) |
+ |
+#define CONCAT2(x,y) x ## y |
+#define CONCAT(x,y) CONCAT2(x,y) |
+ |
+static long long scanexp(FILE *f, int pok) |
+{ |
+ int c; |
+ int x; |
+ long long y; |
+ int neg = 0; |
+ |
+ c = shgetc(f); |
+ if (c=='+' || c=='-') { |
+ neg = (c=='-'); |
+ c = shgetc(f); |
+ if (c-'0'>=10U && pok) shunget(f); |
+ } |
+ if (c-'0'>=10U) { |
+ shunget(f); |
+ return LLONG_MIN; |
+ } |
+ for (x=0; c-'0'<10U && x<INT_MAX/10; c = shgetc(f)) |
+ x = 10*x + c-'0'; |
+ for (y=x; c-'0'<10U && y<LLONG_MAX/100; c = shgetc(f)) |
+ y = 10*y + c-'0'; |
+ for (; c-'0'<10U; c = shgetc(f)); |
+ shunget(f); |
+ return neg ? -y : y; |
+} |
+ |
+ |
+static long double decfloat(FILE *f, int c, int bits, int emin, int sign, int pok) |
+{ |
+ uint32_t x[KMAX]; |
+ static const uint32_t th[] = { LD_B1B_MAX }; |
+ int i, j, k, a, z; |
+ long long lrp=0, dc=0; |
+ long long e10=0; |
+ int lnz = 0; |
+ int gotdig = 0, gotrad = 0; |
+ int rp; |
+ int e2; |
+ int emax = -emin-bits+3; |
+ int denormal = 0; |
+ long double y; |
+ long double frac=0; |
+ long double bias=0; |
+ static const int p10s[] = { 10, 100, 1000, 10000, |
+ 100000, 1000000, 10000000, 100000000 }; |
+ |
+ j=0; |
+ k=0; |
+ |
+ /* Don't let leading zeros consume buffer space */ |
+ for (; c=='0'; c = shgetc(f)) gotdig=1; |
+ if (c=='.') { |
+ gotrad = 1; |
+ for (c = shgetc(f); c=='0'; c = shgetc(f)) gotdig=1, lrp--; |
+ } |
+ |
+ x[0] = 0; |
+ for (; c-'0'<10U || c=='.'; c = shgetc(f)) { |
+ if (c == '.') { |
+ if (gotrad) break; |
+ gotrad = 1; |
+ lrp = dc; |
+ } else if (k < KMAX-3) { |
+ dc++; |
+ if (c!='0') lnz = dc; |
+ if (j) x[k] = x[k]*10 + c-'0'; |
+ else x[k] = c-'0'; |
+ if (++j==9) { |
+ k++; |
+ j=0; |
+ } |
+ gotdig=1; |
+ } else { |
+ dc++; |
+ if (c!='0') x[KMAX-4] |= 1; |
+ } |
+ } |
+ if (!gotrad) lrp=dc; |
+ |
+ if (gotdig && (c|32)=='e') { |
+ e10 = scanexp(f, pok); |
+ if (e10 == LLONG_MIN) { |
+ if (pok) { |
+ shunget(f); |
+ } else { |
+ shlim(f, 0); |
+ return 0; |
+ } |
+ e10 = 0; |
+ } |
+ lrp += e10; |
+ } else if (c>=0) { |
+ shunget(f); |
+ } |
+ if (!gotdig) { |
+ errno = EINVAL; |
+ shlim(f, 0); |
+ return 0; |
+ } |
+ |
+ /* Handle zero specially to avoid nasty special cases later */ |
+ if (!x[0]) return sign * 0.0; |
+ |
+ /* Optimize small integers (w/no exponent) and over/under-flow */ |
+ if (lrp==dc && dc<10 && (bits>30 || x[0]>>bits==0)) |
+ return sign * (long double)x[0]; |
+ if (lrp > -emin/2) { |
+ errno = ERANGE; |
+ return sign * LDBL_MAX * LDBL_MAX; |
+ } |
+ if (lrp < emin-2*LDBL_MANT_DIG) { |
+ errno = ERANGE; |
+ return sign * LDBL_MIN * LDBL_MIN; |
+ } |
+ |
+ /* Align incomplete final B1B digit */ |
+ if (j) { |
+ for (; j<9; j++) x[k]*=10; |
+ k++; |
+ j=0; |
+ } |
+ |
+ a = 0; |
+ z = k; |
+ e2 = 0; |
+ rp = lrp; |
+ |
+ /* Optimize small to mid-size integers (even in exp. notation) */ |
+ if (lnz<9 && lnz<=rp && rp < 18) { |
+ if (rp == 9) return sign * (long double)x[0]; |
+ if (rp < 9) return sign * (long double)x[0] / p10s[8-rp]; |
+ int bitlim = bits-3*(int)(rp-9); |
+ if (bitlim>30 || x[0]>>bitlim==0) |
+ return sign * (long double)x[0] * p10s[rp-10]; |
+ } |
+ |
+ /* Align radix point to B1B digit boundary */ |
+ if (rp % 9) { |
+ int rpm9 = rp>=0 ? rp%9 : rp%9+9; |
+ int p10 = p10s[8-rpm9]; |
+ uint32_t carry = 0; |
+ for (k=a; k!=z; k++) { |
+ uint32_t tmp = x[k] % p10; |
+ x[k] = x[k]/p10 + carry; |
+ carry = 1000000000/p10 * tmp; |
+ if (k==a && !x[k]) { |
+ a = (a+1 & MASK); |
+ rp -= 9; |
+ } |
+ } |
+ if (carry) x[z++] = carry; |
+ rp += 9-rpm9; |
+ } |
+ |
+ /* Upscale until desired number of bits are left of radix point */ |
+ while (rp < 9*LD_B1B_DIG || (rp == 9*LD_B1B_DIG && x[a]<th[0])) { |
+ uint32_t carry = 0; |
+ e2 -= 29; |
+ for (k=(z-1 & MASK); ; k=(k-1 & MASK)) { |
+ uint64_t tmp = ((uint64_t)x[k] << 29) + carry; |
+ if (tmp > 1000000000) { |
+ carry = tmp / 1000000000; |
+ x[k] = tmp % 1000000000; |
+ } else { |
+ carry = 0; |
+ x[k] = tmp; |
+ } |
+ if (k==(z-1 & MASK) && k!=a && !x[k]) z = k; |
+ if (k==a) break; |
+ } |
+ if (carry) { |
+ rp += 9; |
+ a = (a-1 & MASK); |
+ if (a == z) { |
+ z = (z-1 & MASK); |
+ x[z-1 & MASK] |= x[z]; |
+ } |
+ x[a] = carry; |
+ } |
+ } |
+ |
+ /* Downscale until exactly number of bits are left of radix point */ |
+ for (;;) { |
+ uint32_t carry = 0; |
+ int sh = 1; |
+ for (i=0; i<LD_B1B_DIG; i++) { |
+ k = (a+i & MASK); |
+ if (k == z || x[k] < th[i]) { |
+ i=LD_B1B_DIG; |
+ break; |
+ } |
+ if (x[a+i & MASK] > th[i]) break; |
+ } |
+ if (i==LD_B1B_DIG && rp==9*LD_B1B_DIG) break; |
+ /* FIXME: find a way to compute optimal sh */ |
+ if (rp > 9+9*LD_B1B_DIG) sh = 9; |
+ e2 += sh; |
+ for (k=a; k!=z; k=(k+1 & MASK)) { |
+ uint32_t tmp = x[k] & (1<<sh)-1; |
+ x[k] = (x[k]>>sh) + carry; |
+ carry = (1000000000>>sh) * tmp; |
+ if (k==a && !x[k]) { |
+ a = (a+1 & MASK); |
+ i--; |
+ rp -= 9; |
+ } |
+ } |
+ if (carry) { |
+ if ((z+1 & MASK) != a) { |
+ x[z] = carry; |
+ z = (z+1 & MASK); |
+ } else x[z-1 & MASK] |= 1; |
+ } |
+ } |
+ |
+ /* Assemble desired bits into floating point variable */ |
+ for (y=i=0; i<LD_B1B_DIG; i++) { |
+ if ((a+i & MASK)==z) x[(z=(z+1 & MASK))-1] = 0; |
+ y = 1000000000.0L * y + x[a+i & MASK]; |
+ } |
+ |
+ y *= sign; |
+ |
+ /* Limit precision for denormal results */ |
+ if (bits > LDBL_MANT_DIG+e2-emin) { |
+ bits = LDBL_MANT_DIG+e2-emin; |
+ if (bits<0) bits=0; |
+ denormal = 1; |
+ } |
+ |
+ /* Calculate bias term to force rounding, move out lower bits */ |
+ if (bits < LDBL_MANT_DIG) { |
+ bias = copysignl(scalbn(1, 2*LDBL_MANT_DIG-bits-1), y); |
+ frac = fmodl(y, scalbn(1, LDBL_MANT_DIG-bits)); |
+ y -= frac; |
+ y += bias; |
+ } |
+ |
+ /* Process tail of decimal input so it can affect rounding */ |
+ if ((a+i & MASK) != z) { |
+ uint32_t t = x[a+i & MASK]; |
+ if (t < 500000000 && (t || (a+i+1 & MASK) != z)) |
+ frac += 0.25*sign; |
+ else if (t > 500000000) |
+ frac += 0.75*sign; |
+ else if (t == 500000000) { |
+ if ((a+i+1 & MASK) == z) |
+ frac += 0.5*sign; |
+ else |
+ frac += 0.75*sign; |
+ } |
+ if (LDBL_MANT_DIG-bits >= 2 && !fmodl(frac, 1)) |
+ frac++; |
+ } |
+ |
+ y += frac; |
+ y -= bias; |
+ |
+ if ((e2+LDBL_MANT_DIG & INT_MAX) > emax-5) { |
+ if (fabs(y) >= CONCAT(0x1p, LDBL_MANT_DIG)) { |
+ if (denormal && bits==LDBL_MANT_DIG+e2-emin) |
+ denormal = 0; |
+ y *= 0.5; |
+ e2++; |
+ } |
+ if (e2+LDBL_MANT_DIG>emax || (denormal && frac)) |
+ errno = ERANGE; |
+ } |
+ |
+ return scalbnl(y, e2); |
+} |
+ |
+static long double hexfloat(FILE *f, int bits, int emin, int sign, int pok) |
+{ |
+ uint32_t x = 0; |
+ long double y = 0; |
+ long double scale = 1; |
+ long double bias = 0; |
+ int gottail = 0, gotrad = 0, gotdig = 0; |
+ long long rp = 0; |
+ long long dc = 0; |
+ long long e2 = 0; |
+ int d; |
+ int c; |
+ |
+ c = shgetc(f); |
+ |
+ /* Skip leading zeros */ |
+ for (; c=='0'; c = shgetc(f)) gotdig = 1; |
+ |
+ if (c=='.') { |
+ gotrad = 1; |
+ c = shgetc(f); |
+ /* Count zeros after the radix point before significand */ |
+ for (rp=0; c=='0'; c = shgetc(f), rp--) gotdig = 1; |
+ } |
+ |
+ for (; c-'0'<10U || (c|32)-'a'<6U || c=='.'; c = shgetc(f)) { |
+ if (c=='.') { |
+ if (gotrad) break; |
+ rp = dc; |
+ gotrad = 1; |
+ } else { |
+ gotdig = 1; |
+ if (c > '9') d = (c|32)+10-'a'; |
+ else d = c-'0'; |
+ if (dc<8) { |
+ x = x*16 + d; |
+ } else if (dc < LDBL_MANT_DIG/4+1) { |
+ y += d*(scale/=16); |
+ } else if (d && !gottail) { |
+ y += 0.5*scale; |
+ gottail = 1; |
+ } |
+ dc++; |
+ } |
+ } |
+ if (!gotdig) { |
+ shunget(f); |
+ if (pok) { |
+ shunget(f); |
+ if (gotrad) shunget(f); |
+ } else { |
+ shlim(f, 0); |
+ } |
+ return sign * 0.0; |
+ } |
+ if (!gotrad) rp = dc; |
+ while (dc<8) x *= 16, dc++; |
+ if ((c|32)=='p') { |
+ e2 = scanexp(f, pok); |
+ if (e2 == LLONG_MIN) { |
+ if (pok) { |
+ shunget(f); |
+ } else { |
+ shlim(f, 0); |
+ return 0; |
+ } |
+ e2 = 0; |
+ } |
+ } else { |
+ shunget(f); |
+ } |
+ e2 += 4*rp - 32; |
+ |
+ if (!x) return sign * 0.0; |
+ if (e2 > -emin) { |
+ errno = ERANGE; |
+ return sign * LDBL_MAX * LDBL_MAX; |
+ } |
+ if (e2 < emin-2*LDBL_MANT_DIG) { |
+ errno = ERANGE; |
+ return sign * LDBL_MIN * LDBL_MIN; |
+ } |
+ |
+ while (x < 0x80000000) { |
+ if (y>=0.5) { |
+ x += x + 1; |
+ y += y - 1; |
+ } else { |
+ x += x; |
+ y += y; |
+ } |
+ e2--; |
+ } |
+ |
+ if (bits > 32+e2-emin) { |
+ bits = 32+e2-emin; |
+ if (bits<0) bits=0; |
+ } |
+ |
+ if (bits < LDBL_MANT_DIG) |
+ bias = copysignl(scalbn(1, 32+LDBL_MANT_DIG-bits-1), sign); |
+ |
+ if (bits<32 && y && !(x&1)) x++, y=0; |
+ |
+ y = bias + sign*(long double)x + sign*y; |
+ y -= bias; |
+ |
+ if (!y) errno = ERANGE; |
+ |
+ return scalbnl(y, e2); |
+} |
+ |
+long double __floatscan(FILE *f, int prec, int pok) |
+{ |
+ int sign = 1; |
+ size_t i; |
+ int bits; |
+ int emin; |
+ int c; |
+ |
+ switch (prec) { |
+ case 0: |
+ bits = FLT_MANT_DIG; |
+ emin = FLT_MIN_EXP-bits; |
+ break; |
+ case 1: |
+ bits = DBL_MANT_DIG; |
+ emin = DBL_MIN_EXP-bits; |
+ break; |
+ case 2: |
+ bits = LDBL_MANT_DIG; |
+ emin = LDBL_MIN_EXP-bits; |
+ break; |
+ default: |
+ return 0; |
+ } |
+ |
+ while (isspace((c=shgetc(f)))); |
+ |
+ if (c=='+' || c=='-') { |
+ sign -= 2*(c=='-'); |
+ c = shgetc(f); |
+ } |
+ |
+ for (i=0; i<8 && (c|32)=="infinity"[i]; i++) |
+ if (i<7) c = shgetc(f); |
+ if (i==3 || i==8 || (i>3 && pok)) { |
+ if (i!=8) { |
+ shunget(f); |
+ if (pok) for (; i>3; i--) shunget(f); |
+ } |
+ return sign * INFINITY; |
+ } |
+ if (!i) for (i=0; i<3 && (c|32)=="nan"[i]; i++) |
+ if (i<2) c = shgetc(f); |
+ if (i==3) { |
+ if (shgetc(f) != '(') { |
+ shunget(f); |
+ return NAN; |
+ } |
+ for (i=1; ; i++) { |
+ c = shgetc(f); |
+ if (c-'0'<10U || c-'A'<26U || c-'a'<26U || c=='_') |
+ continue; |
+ if (c==')') return NAN; |
+ shunget(f); |
+ if (!pok) { |
+ errno = EINVAL; |
+ shlim(f, 0); |
+ return 0; |
+ } |
+ while (i--) shunget(f); |
+ return NAN; |
+ } |
+ return NAN; |
+ } |
+ |
+ if (i) { |
+ shunget(f); |
+ errno = EINVAL; |
+ shlim(f, 0); |
+ return 0; |
+ } |
+ |
+ if (c=='0') { |
+ c = shgetc(f); |
+ if ((c|32) == 'x') |
+ return hexfloat(f, bits, emin, sign, pok); |
+ shunget(f); |
+ c = '0'; |
+ } |
+ |
+ return decfloat(f, c, bits, emin, sign, pok); |
+} |