micropython/py/formatfloat.c

311 lines
8.1 KiB
C

/***********************************************************************
formatfloat.c - Ruutine for converting a single-precision floating
point number into a string.
The code in this funcion was inspired from Fred Bayer's pdouble.c.
Since pdouble.c was released as Public Domain, I'm releasing this
code as public domain as well.
The original code can be found in https://github.com/dhylands/format-float
Dave Hylands
***********************************************************************/
#include <stdlib.h>
#include "mpconfig.h"
#if MICROPY_FLOAT_IMPL == MICROPY_FLOAT_IMPL_FLOAT
#include "formatfloat.h"
// 1 sign bit, 8 exponent bits, and 23 mantissa bits.
// exponent values 0 and 255 are reserved, exponent can be 1 to 254.
// exponent is stored with a bias of 127.
// The min and max floats are on the order of 1x10^37 and 1x10^-37
#define FLT_SIGN_MASK 0x80000000
#define FLT_EXP_MASK 0x7F800000
#define FLT_MAN_MASK 0x007FFFFF
static const float g_pos_pow[] = {
1e32, 1e16, 1e8, 1e4, 1e2, 1e1
};
static const float g_neg_pow[] = {
1e-32, 1e-16, 1e-8, 1e-4, 1e-2, 1e-1
};
int format_float(float f, char *buf, size_t buf_size, char fmt, int prec, char sign) {
char *s = buf;
int buf_remaining = buf_size - 1;
union {
float f;
uint32_t u;
} num = {f};
if (buf_size < 7) {
// Smallest exp notion is -9e+99 which is 6 chars plus terminating
// nulll.
if (buf_size >= 2) {
*s++ = '?';
}
if (buf_size >= 1) {
*s++ = '\0';
}
return buf_size >= 2;
}
if (num.u & FLT_SIGN_MASK) {
*s++ = '-';
num.u &= ~FLT_SIGN_MASK;
} else {
if (sign) {
*s++ = sign;
}
}
buf_remaining -= (s - buf); // Adjust for sign
if ((num.u & FLT_EXP_MASK) == FLT_EXP_MASK) {
char uc = fmt & 0x20;
if ((num.u & FLT_MAN_MASK) == 0) {
*s++ = 'I' ^ uc;
*s++ = 'N' ^ uc;
*s++ = 'F' ^ uc;
} else {
*s++ = 'N' ^ uc;
*s++ = 'A' ^ uc;
*s++ = 'N' ^ uc;
}
*s = '\0';
return s - buf;
}
if (prec < 0) {
prec = 6;
}
char e_char = 'E' | (fmt & 0x20); // e_char will match case of fmt
fmt |= 0x20; // Force fmt to be lowercase
char org_fmt = fmt;
if (fmt == 'g' && prec == 0) {
prec = 1;
}
int e, e1;
int dec = 0;
char e_sign = '\0';
int num_digits = 0;
const float *pos_pow = g_pos_pow;
const float *neg_pow = g_neg_pow;
if (num.u == 0) {
e = 0;
if (fmt == 'e') {
e_sign = '+';
} else if (fmt == 'f') {
num_digits = prec + 1;
}
} else if (num.u < 0x3f800000) { // f < 1.0
// Build negative exponent
for (e = 0, e1 = 32; e1; e1 >>= 1, pos_pow++, neg_pow++) {
if (*neg_pow > num.f) {
e += e1;
num.f *= *pos_pow;
}
}
if (num.f < 1.0F && num.f >= 0.9999995F) {
num.f = 1.0F;
} else {
e++;
num.f *= 10.0F;
}
// If the user specified 'g' format, and e is <= 4, then we'll switch
// to the fixed format ('f')
if (fmt == 'f' || (fmt == 'g' && e <= 4)) {
fmt = 'f';
dec = -1;
*s++ = '0';
if (prec + e + 1 > buf_remaining) {
prec = buf_remaining - e - 1;
}
if (org_fmt == 'g') {
prec += (e - 1);
}
num_digits = prec;
if (num_digits) {
*s++ = '.';
while (--e && num_digits) {
*s++ = '0';
num_digits--;
}
}
} else {
// For e & g formats, we'll be printing the exponent, so set the
// sign.
e_sign = '-';
dec = 0;
if (prec > (buf_remaining - 6)) {
prec = buf_remaining - 6;
if (fmt == 'g') {
prec++;
}
}
}
} else {
// Build positive exponent
for (e = 0, e1 = 32; e1; e1 >>= 1, pos_pow++, neg_pow++) {
if (*pos_pow <= num.f) {
e += e1;
num.f *= *neg_pow;
}
}
// If the user specified fixed format (fmt == 'f') and e makes the
// number too big to fit into the available buffer, then we'll
// switch to the 'e' format.
if (fmt == 'f') {
if (e >= buf_remaining) {
fmt = 'e';
} else if ((e + prec + 2) > buf_remaining) {
prec = buf_remaining - e - 2;
if (prec < 0) {
// This means no decimal point, so we can add one back
// for the decimal.
prec++;
}
}
}
if (fmt == 'e' && prec > (buf_remaining - 6)) {
prec = buf_remaining - 6;
}
// If the user specified 'g' format, and e is < prec, then we'll switch
// to the fixed format.
if (fmt == 'g' && e < prec) {
fmt = 'f';
prec -= (e + 1);
}
if (fmt == 'f') {
dec = e;
num_digits = prec + e + 1;
} else {
e_sign = '+';
}
}
if (prec < 0) {
// This can happen when the prec is trimmed to prevent buffer overflow
prec = 0;
}
// We now have num.f as a floating point number between >= 1 and < 10
// (or equal to zero), and e contains the absolute value of the power of
// 10 exponent. and (dec + 1) == the number of dgits before the decimal.
// For e, prec is # digits after the decimal
// For f, prec is # digits after the decimal
// For g, prec is the max number of significant digits
//
// For e & g there will be a single digit before the decimal
// for f there will be e digits before the decimal
if (fmt == 'e') {
num_digits = prec + 1;
} else if (fmt == 'g') {
if (prec == 0) {
prec = 1;
}
num_digits = prec;
}
// Print the digits of the mantissa
for (int i = 0; i < num_digits; ++i, --dec) {
int32_t d = num.f;
*s++ = '0' + d;
if (dec == 0 && prec > 0) {
*s++ = '.';
}
num.f -= (float)d;
num.f *= 10.0F;
}
// Round
if (num.f >= 5.0F) {
char *rs = s;
rs--;
while (1) {
if (*rs == '.') {
rs--;
continue;
}
if (*rs < '0' || *rs > '9') {
// + or -
rs++; // So we sit on the digit to the right of the sign
break;
}
if (*rs < '9') {
(*rs)++;
break;
}
*rs = '0';
if (rs == buf) {
break;
}
rs--;
}
if (*rs == '0') {
// We need to insert a 1
if (rs[1] == '.' && fmt != 'f') {
// We're going to round 9.99 to 10.00
// Move the decimal point
rs[0] = '.';
rs[1] = '0';
if (e_sign == '-') {
e--;
} else {
e++;
}
}
s++;
char *ss = s;
while (ss > rs) {
*ss = ss[-1];
ss--;
}
*rs = '1';
}
if (num.u < 0x3f800000 && fmt == 'f') {
// We rounded up to 1.0
prec--;
}
}
if (org_fmt == 'g' && prec > 0) {
// Remove trailing zeros and a trailing decimal point
while (s[-1] == '0') {
s--;
}
if (s[-1] == '.') {
s--;
}
}
// Append the exponent
if (e_sign) {
*s++ = e_char;
*s++ = e_sign;
*s++ = '0' + (e / 10);
*s++ = '0' + (e % 10);
}
*s = '\0';
return s - buf;
}
#endif