📄 float.c
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} else {
error(ERR_PANIC, "float_round() can't handle rc=%i", rc);
}
} else {
error(ERR_PANIC, "float_round() can't handle sign=%i", sign);
}
return false;
}
static int hexval(char c)
{
if (c >= '0' && c <= '9')
return c - '0';
else if (c >= 'a' && c <= 'f')
return c - 'a' + 10;
else
return c - 'A' + 10;
}
static bool ieee_flconvert_hex(const char *string, uint16_t * mant,
int32_t * exponent)
{
static const int log2tbl[16] =
{ -1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3 };
uint16_t mult[MANT_WORDS + 1], *mp;
int ms;
int32_t twopwr;
int seendot, seendigit;
unsigned char c;
twopwr = 0;
seendot = seendigit = 0;
ms = 0;
mp = NULL;
memset(mult, 0, sizeof mult);
while ((c = *string++) != '\0') {
if (c == '.') {
if (!seendot)
seendot = true;
else {
error(ERR_NONFATAL,
"too many periods in floating-point constant");
return false;
}
} else if (isxdigit(c)) {
int v = hexval(c);
if (!seendigit && v) {
int l = log2tbl[v];
seendigit = 1;
mp = mult;
ms = 15 - l;
twopwr = seendot ? twopwr - 4 + l : l - 3;
}
if (seendigit) {
if (ms <= 0) {
*mp |= v >> -ms;
mp++;
if (mp > &mult[MANT_WORDS])
mp = &mult[MANT_WORDS]; /* Guard slot */
ms += 16;
}
*mp |= v << ms;
ms -= 4;
if (!seendot)
twopwr += 4;
} else {
if (seendot)
twopwr -= 4;
}
} else if (c == 'p' || c == 'P') {
twopwr += atoi(string);
break;
} else {
error(ERR_NONFATAL,
"floating-point constant: `%c' is invalid character", c);
return false;
}
}
if (!seendigit) {
memset(mant, 0, 2 * MANT_WORDS); /* Zero */
*exponent = 0;
} else {
memcpy(mant, mult, 2 * MANT_WORDS);
*exponent = twopwr;
}
return true;
}
/*
* Shift a mantissa to the right by i bits.
*/
static void ieee_shr(uint16_t * mant, int i)
{
uint16_t n, m;
int j = 0;
int sr, sl, offs;
sr = i%16; sl = 16-sr;
offs = i/16;
if (sr == 0) {
if (offs)
for (j = MANT_WORDS-1; j >= offs; j--)
mant[j] = mant[j-offs];
} else {
n = mant[MANT_WORDS-1-offs] >> sr;
for (j = MANT_WORDS-1; j > offs; j--) {
m = mant[j-offs-1];
mant[j] = (m << sl) | n;
n = m >> sr;
}
mant[j--] = n;
}
while (j >= 0)
mant[j--] = 0;
}
#if defined(__i386__) || defined(__x86_64__)
#define put(a,b) (*(uint16_t *)(a) = (b))
#else
#define put(a,b) (((a)[0] = (b)), ((a)[1] = (b) >> 8))
#endif
/* Set a bit, using *bigendian* bit numbering (0 = MSB) */
static void set_bit(uint16_t *mant, int bit)
{
mant[bit >> 4] |= 1 << (~bit & 15);
}
/* Test a single bit */
static int test_bit(const uint16_t *mant, int bit)
{
return (mant[bit >> 4] >> (~bit & 15)) & 1;
}
/* Report if the mantissa value is all zero */
static bool is_zero(const uint16_t *mant)
{
int i;
for (i = 0; i < MANT_WORDS; i++)
if (mant[i])
return false;
return true;
}
/* Produce standard IEEE formats, with implicit or explicit integer
bit; this makes the following assumptions:
- the sign bit is the MSB, followed by the exponent,
followed by the integer bit if present.
- the sign bit plus exponent fit in 16 bits.
- the exponent bias is 2^(n-1)-1 for an n-bit exponent */
struct ieee_format {
int words;
int mantissa; /* Fractional bits in the mantissa */
int explicit; /* Explicit integer */
int exponent; /* Bits in the exponent */
};
/*
* The 16- and 128-bit formats are expected to be in IEEE 754r.
* AMD SSE5 uses the 16-bit format.
*
* The 32- and 64-bit formats are the original IEEE 754 formats.
*
* The 80-bit format is x87-specific, but widely used.
*/
static const struct ieee_format ieee_16 = { 1, 10, 0, 5 };
static const struct ieee_format ieee_32 = { 2, 23, 0, 8 };
static const struct ieee_format ieee_64 = { 4, 52, 0, 11 };
static const struct ieee_format ieee_80 = { 5, 63, 1, 15 };
static const struct ieee_format ieee_128 = { 8, 112, 0, 15 };
/* Types of values we can generate */
enum floats {
FL_ZERO,
FL_DENORMAL,
FL_NORMAL,
FL_INFINITY,
FL_QNAN,
FL_SNAN
};
static int to_float(const char *str, int sign, uint8_t * result,
const struct ieee_format *fmt)
{
uint16_t mant[MANT_WORDS], *mp;
int32_t exponent = 0;
int32_t expmax = 1 << (fmt->exponent - 1);
uint16_t one_mask = 0x8000 >> ((fmt->exponent+fmt->explicit) % 16);
int one_pos = (fmt->exponent+fmt->explicit)/16;
int i;
int shift;
enum floats type;
bool ok;
sign = (sign < 0 ? 0x8000 : 0);
if (str[0] == '_') {
/* Special tokens */
switch (str[2]) {
case 'n': /* __nan__ */
case 'N':
case 'q': /* __qnan__ */
case 'Q':
type = FL_QNAN;
break;
case 's': /* __snan__ */
case 'S':
type = FL_SNAN;
break;
case 'i': /* __infinity__ */
case 'I':
type = FL_INFINITY;
break;
default:
error(ERR_NONFATAL,
"internal error: unknown FP constant token `%s'\n", str);
type = FL_QNAN;
break;
}
} else {
if (str[0] == '0' && (str[1] == 'x' || str[1] == 'X'))
ok = ieee_flconvert_hex(str + 2, mant, &exponent);
else
ok = ieee_flconvert(str, mant, &exponent);
if (!ok) {
type = FL_QNAN;
} else if (mant[0] & 0x8000) {
/*
* Non-zero.
*/
exponent--;
if (exponent >= 2 - expmax && exponent <= expmax) {
type = FL_NORMAL;
} else if (exponent < 2 - expmax &&
exponent >= 2 - expmax - fmt->mantissa) {
type = FL_DENORMAL;
} else if (exponent > 0) {
if (pass0 == 1)
error(ERR_WARNING|ERR_WARN_FL_OVERFLOW,
"overflow in floating-point constant");
type = FL_INFINITY;
} else {
/* underflow */
if (pass0 == 1)
error(ERR_WARNING|ERR_WARN_FL_UNDERFLOW,
"underflow in floating-point constant");
type = FL_ZERO;
}
} else {
/* Zero */
type = FL_ZERO;
}
}
switch (type) {
case FL_ZERO:
zero:
memset(mant, 0, sizeof mant);
break;
case FL_DENORMAL:
{
shift = -(exponent + expmax - 2 - fmt->exponent)
+ fmt->explicit;
ieee_shr(mant, shift);
ieee_round(sign, mant, fmt->words);
if (mant[one_pos] & one_mask) {
/* One's position is set, we rounded up into normal range */
exponent = 1;
if (!fmt->explicit)
mant[one_pos] &= ~one_mask; /* remove explicit one */
mant[0] |= exponent << (15 - fmt->exponent);
} else {
if (daz || is_zero(mant)) {
/* Flush denormals to zero */
if (pass0 == 1)
error(ERR_WARNING|ERR_WARN_FL_UNDERFLOW,
"underflow in floating-point constant");
goto zero;
} else {
if (pass0 == 1)
error(ERR_WARNING|ERR_WARN_FL_DENORM,
"denormal floating-point constant");
}
}
break;
}
case FL_NORMAL:
exponent += expmax - 1;
ieee_shr(mant, fmt->exponent+fmt->explicit);
ieee_round(sign, mant, fmt->words);
/* did we scale up by one? */
if (test_bit(mant, fmt->exponent+fmt->explicit-1)) {
ieee_shr(mant, 1);
exponent++;
if (exponent >= (expmax << 1)-1) {
if (pass0 == 1)
error(ERR_WARNING|ERR_WARN_FL_OVERFLOW,
"overflow in floating-point constant");
type = FL_INFINITY;
goto overflow;
}
}
if (!fmt->explicit)
mant[one_pos] &= ~one_mask; /* remove explicit one */
mant[0] |= exponent << (15 - fmt->exponent);
break;
case FL_INFINITY:
case FL_QNAN:
case FL_SNAN:
overflow:
memset(mant, 0, sizeof mant);
mant[0] = ((1 << fmt->exponent)-1) << (15 - fmt->exponent);
if (fmt->explicit)
mant[one_pos] |= one_mask;
if (type == FL_QNAN)
set_bit(mant, fmt->exponent+fmt->explicit+1);
else if (type == FL_SNAN)
set_bit(mant, fmt->exponent+fmt->explicit+fmt->mantissa);
break;
}
mant[0] |= sign;
for (mp = &mant[fmt->words], i = 0; i < fmt->words; i++) {
uint16_t m = *--mp;
put(result, m);
result += 2;
}
return 1; /* success */
}
int float_const(const char *number, int32_t sign, uint8_t * result,
int bytes, efunc err)
{
error = err;
switch (bytes) {
case 2:
return to_float(number, sign, result, &ieee_16);
case 4:
return to_float(number, sign, result, &ieee_32);
case 8:
return to_float(number, sign, result, &ieee_64);
case 10:
return to_float(number, sign, result, &ieee_80);
case 16:
return to_float(number, sign, result, &ieee_128);
default:
error(ERR_PANIC, "strange value %d passed to float_const", bytes);
return 0;
}
}
/* Set floating-point options */
int float_option(const char *option)
{
if (!nasm_stricmp(option, "daz")) {
daz = true;
return 0;
} else if (!nasm_stricmp(option, "nodaz")) {
daz = false;
return 0;
} else if (!nasm_stricmp(option, "near")) {
rc = FLOAT_RC_NEAR;
return 0;
} else if (!nasm_stricmp(option, "down")) {
rc = FLOAT_RC_DOWN;
return 0;
} else if (!nasm_stricmp(option, "up")) {
rc = FLOAT_RC_UP;
return 0;
} else if (!nasm_stricmp(option, "zero")) {
rc = FLOAT_RC_ZERO;
return 0;
} else if (!nasm_stricmp(option, "default")) {
rc = FLOAT_RC_NEAR;
daz = false;
return 0;
} else {
return -1; /* Unknown option */
}
}
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