jerryscript/jerry-core/ecma/base/ecma-helpers-conversion.c
Daniella Barsony b6fc4e13ae Fix rounding issue (#2890)
Fixes #2802

JerryScript-DCO-1.0-Signed-off-by: Daniella Barsony bella@inf.u-szeged.hu
2019-05-31 08:31:36 +02:00

1127 lines
27 KiB
C

/* Copyright JS Foundation and other contributors, http://js.foundation
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
#include <math.h>
#include "ecma-globals.h"
#include "ecma-helpers.h"
#include "jrt-libc-includes.h"
#include "lit-char-helpers.h"
#include "lit-magic-strings.h"
/** \addtogroup ecma ECMA
* @{
*
* \addtogroup ecmahelpers Helpers for operations with ECMA data types
* @{
*/
#if ENABLED (JERRY_NUMBER_TYPE_FLOAT64)
/**
* \addtogroup ecmahelpersbigintegers Helpers for operations intermediate 128-bit integers
* @{
*/
/**
* 128-bit integer type
*/
typedef struct
{
uint64_t lo; /**< low 64 bits */
uint64_t hi; /**< high 64 bits */
} ecma_uint128_t;
/**
* Round high part of 128-bit integer to uint64_t
*
* @return rounded high to uint64_t
*/
static uint64_t
ecma_round_high_to_uint64 (ecma_uint128_t *num_p)
{
uint64_t masked_lo = num_p->lo & ~(1ULL << 63u);
uint64_t masked_hi = num_p->hi & 0x1;
if ((num_p->lo >> 63u != 0)
&& (masked_lo > 0 || masked_hi != 0))
{
return (num_p->hi + 1);
}
return num_p->hi;
} /* ecma_round_high_to_uint64 */
/**
* Check if 128-bit integer is zero
*/
#define ECMA_UINT128_IS_ZERO(name) \
(name.hi == 0 && name.lo == 0)
/**
* Left shift 128-bit integer by max 63 bits
*/
#define ECMA_UINT128_LEFT_SHIFT_MAX63(name, shift) \
{ \
name.hi = (name.hi << (shift)) | (name.lo >> (64 - (shift))); \
name.lo <<= (shift); \
}
/**
* Right shift 128-bit integer by max 63 bits
*/
#define ECMA_UINT128_RIGHT_SHIFT_MAX63(name, shift) \
{ \
name.lo = (name.lo >> (shift)) | (name.hi << (64 - (shift))); \
name.hi >>= (shift); \
}
/**
* Add 128-bit integer
*/
#define ECMA_UINT128_ADD(name_add_to, name_to_add) \
{ \
name_add_to.hi += name_to_add.hi; \
name_add_to.lo += name_to_add.lo; \
if (name_add_to.lo < name_to_add.lo) \
{ \
name_add_to.hi++; \
} \
}
/**
* Multiply 128-bit integer by 10
*/
#define ECMA_UINT128_MUL10(name) \
{ \
ECMA_UINT128_LEFT_SHIFT_MAX63 (name, 1u); \
\
ecma_uint128_t name ## _tmp = name; \
\
ECMA_UINT128_LEFT_SHIFT_MAX63 (name ## _tmp, 2u); \
\
ECMA_UINT128_ADD (name, name ## _tmp); \
}
/**
* Divide 128-bit integer by 10
*
* N = N3 *2^96 + N2 *2^64 + N1 *2^32 + N0 *2^0 // 128-bit dividend
* T = T3 *2^-32 + T2 *2^-64 + T1 *2^-96 + T0 *2^-128 // 128-bit divisor reciprocal, 1/10 * 2^-128
*
* N * T = N3*T3 *2^64 + N2*T3 *2^32 + N1*T3 *2^0 + N0*T3 *2^-32
* + N3*T2 *2^32 + N2*T2 *2^0 + N1*T2 *2^-32 + N0*T2 *2^-64
* + N3*T1 *2^0 + N2*T1 *2^-32 + N1*T1 *2^-64 + N0*T1 *2^-96
* + N3*T0 *2^-32 + N2*T0 *2^-64 + N1*T0 *2^-96 + N0*T0 *2^-128
*
* Q3=carry Q2=^+carry Q1=^+carry Q0=^+carry fraction=^...
*
* Q = Q3 *2^96 + Q2 *2^64 + Q1 *2^32 + Q0 *2^0 // 128-bit quotient
*/
#define ECMA_UINT128_DIV10(name) \
{ \
/* estimation of reciprocal of 10, 128 bits right of the binary point (T1 == T2) */ \
const uint64_t tenth_l = 0x9999999aul; \
const uint64_t tenth_m = 0x99999999ul; \
const uint64_t tenth_h = 0x19999999ul; \
\
uint64_t l0 = ((uint32_t) name.lo) * tenth_l; \
uint64_t l1 = (name.lo >> 32u) * tenth_l; \
uint64_t l2 = ((uint32_t) name.hi) * tenth_l; \
uint64_t l3 = (name.hi >> 32u) * tenth_l; \
uint64_t m0 = ((uint32_t) name.lo) * tenth_m; \
uint64_t m1 = (name.lo >> 32u) * tenth_m; \
uint64_t m2 = ((uint32_t) name.hi) * tenth_m; \
uint64_t m3 = (name.hi >> 32u) * tenth_m; \
uint64_t h0 = ((uint32_t) name.lo) * tenth_h; \
uint64_t h1 = (name.lo >> 32u) * tenth_h; \
uint64_t h2 = ((uint32_t) name.hi) * tenth_h; \
uint64_t h3 = (name.hi >> 32u) * tenth_h; \
\
uint64_t q0 = l0 >> 32u; \
q0 += (uint32_t) l1; \
q0 += (uint32_t) m0; \
\
q0 >>= 32u; \
q0 += l1 >> 32u; \
q0 += m0 >> 32u; \
q0 += (uint32_t) l2; \
q0 += (uint32_t) m1; \
q0 += (uint32_t) m0; \
\
q0 >>= 32u; \
q0 += l2 >> 32u; \
q0 += m1 >> 32u; \
q0 += m0 >> 32u; \
q0 += (uint32_t) l3; \
q0 += (uint32_t) m2; \
q0 += (uint32_t) m1; \
q0 += (uint32_t) h0; \
\
q0 >>=32u; \
q0 += l3 >> 32u; \
q0 += m2 >> 32u; \
q0 += m1 >> 32u; \
q0 += h0 >> 32u; \
q0 += (uint32_t) m3; \
q0 += (uint32_t) m2; \
q0 += (uint32_t) h1; \
\
uint64_t q1 = q0 >> 32u; \
q1 += m3 >> 32u; \
q1 += m2 >> 32u; \
q1 += h1 >> 32u; \
q1 += (uint32_t) m3; \
q1 += (uint32_t) h2; \
\
uint64_t q32 = q1 >> 32u; \
q32 += m3 >> 32u; \
q32 += h2 >> 32u; \
q32 += h3; \
\
name.lo = (q1 << 32u) | ((uint32_t) q0); \
name.hi = q32; \
}
#if defined (__GNUC__) || defined (__clang__)
/**
* Count leading zeros in the topmost 64 bits of a 128-bit integer.
*/
#define ECMA_UINT128_CLZ_MAX63(name) \
__builtin_clzll (name.hi)
/**
* Count leading zeros in the topmost 4 bits of a 128-bit integer.
*/
#define ECMA_UINT128_CLZ_MAX4(name) \
__builtin_clzll (name.hi)
#else /* !__GNUC__ && !__clang__ */
/**
* Count leading zeros in a 64-bit integer. The behaviour is undefined for 0.
*
* @return number of leading zeros.
*/
static inline int JERRY_ATTR_ALWAYS_INLINE
ecma_uint64_clz (uint64_t n) /**< integer to count leading zeros in */
{
JERRY_ASSERT (n != 0);
int cnt = 0;
uint64_t one = 0x8000000000000000ull;
while ((n & one) == 0)
{
cnt++;
one >>= 1;
}
return cnt;
} /* ecma_uint64_clz */
/**
* Number of leading zeros in 4-bit integers.
*/
static const uint8_t ecma_uint4_clz[] = { 4, 3, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 };
/**
* Count leading zeros in the topmost 64 bits of a 128-bit integer.
*/
#define ECMA_UINT128_CLZ_MAX63(name) \
ecma_uint64_clz (name.hi)
/**
* Count leading zeros in the topmost 4 bits of a 128-bit integer.
*/
#define ECMA_UINT128_CLZ_MAX4(name) \
ecma_uint4_clz[name.hi >> 60]
#endif /* __GNUC__ || __clang__ */
/**
* @}
*/
/**
* Number.MAX_VALUE exponent part when using 64 bit float representation.
*/
#define NUMBER_MAX_DECIMAL_EXPONENT 308
/**
* Number.MIN_VALUE exponent part when using 64 bit float representation.
*/
#define NUMBER_MIN_DECIMAL_EXPONENT -324
#elif !ENABLED (JERRY_NUMBER_TYPE_FLOAT64)
/**
* Number.MAX_VALUE exponent part when using 32 bit float representation.
*/
#define NUMBER_MAX_DECIMAL_EXPONENT 38
/**
* Number.MIN_VALUE exponent part when using 32 bit float representation.
*/
#define NUMBER_MIN_DECIMAL_EXPONENT -45
#endif /* ENABLED (JERRY_NUMBER_TYPE_FLOAT64) */
/**
* Value of epsilon
*/
#define EPSILON 0.0000001
/**
* ECMA-defined conversion of string to Number.
*
* See also:
* ECMA-262 v5, 9.3.1
*
* @return ecma-number
*/
ecma_number_t
ecma_utf8_string_to_number (const lit_utf8_byte_t *str_p, /**< utf-8 string */
lit_utf8_size_t str_size) /**< string size */
{
/* TODO: Check license issues */
if (str_size == 0)
{
return ECMA_NUMBER_ZERO;
}
const lit_utf8_byte_t *str_curr_p = str_p;
const lit_utf8_byte_t *str_end_p = str_p + str_size;
ecma_char_t code_unit;
while (str_curr_p < str_end_p)
{
code_unit = lit_utf8_peek_next (str_curr_p);
if (lit_char_is_white_space (code_unit) || lit_char_is_line_terminator (code_unit))
{
lit_utf8_incr (&str_curr_p);
}
else
{
break;
}
}
const lit_utf8_byte_t *begin_p = str_curr_p;
str_curr_p = (lit_utf8_byte_t *) str_end_p;
while (str_curr_p > str_p)
{
code_unit = lit_utf8_peek_prev (str_curr_p);
if (lit_char_is_white_space (code_unit) || lit_char_is_line_terminator (code_unit))
{
lit_utf8_decr (&str_curr_p);
}
else
{
break;
}
}
const lit_utf8_byte_t *end_p = str_curr_p - 1;
if (begin_p > end_p)
{
return ECMA_NUMBER_ZERO;
}
if ((end_p >= begin_p + 2)
&& begin_p[0] == LIT_CHAR_0
&& (begin_p[1] == LIT_CHAR_LOWERCASE_X
|| begin_p[1] == LIT_CHAR_UPPERCASE_X))
{
/* Hex literal handling */
begin_p += 2;
ecma_number_t num = ECMA_NUMBER_ZERO;
for (const lit_utf8_byte_t * iter_p = begin_p;
iter_p <= end_p;
iter_p++)
{
int32_t digit_value;
if (*iter_p >= LIT_CHAR_0
&& *iter_p <= LIT_CHAR_9)
{
digit_value = (*iter_p - LIT_CHAR_0);
}
else if (*iter_p >= LIT_CHAR_LOWERCASE_A
&& *iter_p <= LIT_CHAR_LOWERCASE_F)
{
digit_value = 10 + (*iter_p - LIT_CHAR_LOWERCASE_A);
}
else if (*iter_p >= LIT_CHAR_UPPERCASE_A
&& *iter_p <= LIT_CHAR_UPPERCASE_F)
{
digit_value = 10 + (*iter_p - LIT_CHAR_UPPERCASE_A);
}
else
{
return ecma_number_make_nan ();
}
num = num * 16 + (ecma_number_t) digit_value;
}
return num;
}
bool sign = false; /* positive */
if (*begin_p == LIT_CHAR_PLUS)
{
begin_p++;
}
else if (*begin_p == LIT_CHAR_MINUS)
{
sign = true; /* negative */
begin_p++;
}
if (begin_p > end_p)
{
return ecma_number_make_nan ();
}
/* Checking if significant part of parse string is equal to "Infinity" */
const lit_utf8_byte_t *infinity_zt_str_p = lit_get_magic_string_utf8 (LIT_MAGIC_STRING_INFINITY_UL);
JERRY_ASSERT (strlen ((const char *) infinity_zt_str_p) == 8);
if ((end_p - begin_p) == (8 - 1) && memcmp (infinity_zt_str_p, begin_p, 8) == 0)
{
return ecma_number_make_infinity (sign);
}
uint64_t fraction_uint64 = 0;
uint32_t digits = 0;
int32_t e = 0;
bool digit_seen = false;
/* Parsing digits before dot (or before end of digits part if there is no dot in number) */
while (begin_p <= end_p)
{
int32_t digit_value;
if (*begin_p >= LIT_CHAR_0
&& *begin_p <= LIT_CHAR_9)
{
digit_seen = true;
digit_value = (*begin_p - LIT_CHAR_0);
}
else
{
break;
}
if (digits != 0 || digit_value != 0)
{
if (digits < ECMA_NUMBER_MAX_DIGITS)
{
fraction_uint64 = fraction_uint64 * 10 + (uint32_t) digit_value;
digits++;
}
else
{
e++;
}
}
begin_p++;
}
if (begin_p <= end_p
&& *begin_p == LIT_CHAR_DOT)
{
begin_p++;
if (!digit_seen && begin_p > end_p)
{
return ecma_number_make_nan ();
}
/* Parsing number's part that is placed after dot */
while (begin_p <= end_p)
{
int32_t digit_value;
if (*begin_p >= LIT_CHAR_0
&& *begin_p <= LIT_CHAR_9)
{
digit_seen = true;
digit_value = (*begin_p - LIT_CHAR_0);
}
else
{
break;
}
if (digits < ECMA_NUMBER_MAX_DIGITS)
{
if (digits != 0 || digit_value != 0)
{
fraction_uint64 = fraction_uint64 * 10 + (uint32_t) digit_value;
digits++;
}
e--;
}
begin_p++;
}
}
/* Parsing exponent literal */
int32_t e_in_lit = 0;
bool e_in_lit_sign = false;
if (begin_p <= end_p
&& (*begin_p == LIT_CHAR_LOWERCASE_E
|| *begin_p == LIT_CHAR_UPPERCASE_E))
{
begin_p++;
if (!digit_seen || begin_p > end_p)
{
return ecma_number_make_nan ();
}
if (*begin_p == LIT_CHAR_PLUS)
{
begin_p++;
}
else if (*begin_p == LIT_CHAR_MINUS)
{
e_in_lit_sign = true;
begin_p++;
}
if (begin_p > end_p)
{
return ecma_number_make_nan ();
}
while (begin_p <= end_p)
{
int32_t digit_value;
if (*begin_p >= LIT_CHAR_0
&& *begin_p <= LIT_CHAR_9)
{
digit_value = (*begin_p - LIT_CHAR_0);
}
else
{
return ecma_number_make_nan ();
}
e_in_lit = e_in_lit * 10 + digit_value;
int32_t e_check = e + (int32_t) digits - 1 + (e_in_lit_sign ? -e_in_lit : e_in_lit);
if (e_check > NUMBER_MAX_DECIMAL_EXPONENT)
{
return ecma_number_make_infinity (sign);
}
else if (e_check < NUMBER_MIN_DECIMAL_EXPONENT)
{
return sign ? -ECMA_NUMBER_ZERO : ECMA_NUMBER_ZERO;
}
begin_p++;
}
}
/* Adding value of exponent literal to exponent value */
if (e_in_lit_sign)
{
e -= e_in_lit;
}
else
{
e += e_in_lit;
}
bool e_sign;
if (e < 0)
{
e_sign = true;
e = -e;
}
else
{
e_sign = false;
}
if (begin_p <= end_p)
{
return ecma_number_make_nan ();
}
JERRY_ASSERT (begin_p == end_p + 1);
if (fraction_uint64 == 0)
{
return sign ? -ECMA_NUMBER_ZERO : ECMA_NUMBER_ZERO;
}
#if ENABLED (JERRY_NUMBER_TYPE_FLOAT64)
/*
* 128-bit mantissa storage
*
* Normalized: |4 bits zero|124-bit mantissa with highest bit set to 1|
*/
ecma_uint128_t fraction_uint128 = { 0, fraction_uint64 };
/* Normalizing mantissa */
int shift = 4 - ECMA_UINT128_CLZ_MAX63 (fraction_uint128);
if (shift < 0)
{
ECMA_UINT128_LEFT_SHIFT_MAX63 (fraction_uint128, -shift);
}
else
{
ECMA_UINT128_RIGHT_SHIFT_MAX63 (fraction_uint128, shift);
}
int32_t binary_exponent = 1 + shift;
if (!e_sign)
{
/* positive or zero decimal exponent */
JERRY_ASSERT (e >= 0);
while (e > 0)
{
JERRY_ASSERT (ECMA_UINT128_CLZ_MAX63 (fraction_uint128) == 4);
ECMA_UINT128_MUL10 (fraction_uint128);
e--;
/* Normalizing mantissa */
shift = 4 - ECMA_UINT128_CLZ_MAX4 (fraction_uint128);
JERRY_ASSERT (shift >= 0);
ECMA_UINT128_RIGHT_SHIFT_MAX63 (fraction_uint128, shift);
binary_exponent += shift;
}
}
else
{
/* negative decimal exponent */
JERRY_ASSERT (e != 0);
while (e > 0)
{
/* Denormalizing mantissa, moving highest 1 to bit 127 */
shift = ECMA_UINT128_CLZ_MAX4 (fraction_uint128);
JERRY_ASSERT (shift <= 4);
ECMA_UINT128_LEFT_SHIFT_MAX63 (fraction_uint128, shift);
binary_exponent -= shift;
JERRY_ASSERT (!ECMA_UINT128_IS_ZERO (fraction_uint128));
ECMA_UINT128_DIV10 (fraction_uint128);
e--;
}
/* Normalizing mantissa */
shift = 4 - ECMA_UINT128_CLZ_MAX4 (fraction_uint128);
JERRY_ASSERT (shift >= 0);
ECMA_UINT128_RIGHT_SHIFT_MAX63 (fraction_uint128, shift);
binary_exponent += shift;
JERRY_ASSERT (ECMA_UINT128_CLZ_MAX63 (fraction_uint128) == 4);
}
JERRY_ASSERT (!ECMA_UINT128_IS_ZERO (fraction_uint128));
JERRY_ASSERT (ECMA_UINT128_CLZ_MAX63 (fraction_uint128) == 4);
/*
* Preparing mantissa for conversion to 52-bit representation, converting it to:
*
* |11 zero bits|1|116 mantissa bits|
*/
ECMA_UINT128_RIGHT_SHIFT_MAX63 (fraction_uint128, 7u);
binary_exponent += 7;
JERRY_ASSERT (ECMA_UINT128_CLZ_MAX63 (fraction_uint128) == 11);
fraction_uint64 = ecma_round_high_to_uint64 (&fraction_uint128);
return ecma_number_make_from_sign_mantissa_and_exponent (sign, fraction_uint64, binary_exponent);
#elif !ENABLED (JERRY_NUMBER_TYPE_FLOAT64)
/* Less precise conversion */
ecma_number_t num = (ecma_number_t) (uint32_t) fraction_uint64;
ecma_number_t m = e_sign ? (ecma_number_t) 0.1 : (ecma_number_t) 10.0;
while (e)
{
if (e % 2)
{
num *= m;
}
m *= m;
e /= 2;
}
return num;
#endif /* ENABLED (JERRY_NUMBER_TYPE_FLOAT64) */
} /* ecma_utf8_string_to_number */
/**
* ECMA-defined conversion of UInt32 to String (zero-terminated).
*
* See also:
* ECMA-262 v5, 9.8.1
*
* @return number of bytes copied to buffer
*/
lit_utf8_size_t
ecma_uint32_to_utf8_string (uint32_t value, /**< value to convert */
lit_utf8_byte_t *out_buffer_p, /**< buffer for string */
lit_utf8_size_t buffer_size) /**< size of buffer */
{
lit_utf8_byte_t *buf_p = out_buffer_p + buffer_size;
do
{
JERRY_ASSERT (buf_p >= out_buffer_p);
buf_p--;
*buf_p = (lit_utf8_byte_t) ((value % 10) + LIT_CHAR_0);
value /= 10;
}
while (value != 0);
JERRY_ASSERT (buf_p >= out_buffer_p);
lit_utf8_size_t bytes_copied = (lit_utf8_size_t) (out_buffer_p + buffer_size - buf_p);
if (JERRY_LIKELY (buf_p != out_buffer_p))
{
memmove (out_buffer_p, buf_p, bytes_copied);
}
return bytes_copied;
} /* ecma_uint32_to_utf8_string */
/**
* ECMA-defined conversion of Number value to UInt32 value
*
* See also:
* ECMA-262 v5, 9.6
*
* @return 32-bit unsigned integer - result of conversion.
*/
uint32_t
ecma_number_to_uint32 (ecma_number_t num) /**< ecma-number */
{
if (ecma_number_is_nan (num)
|| ecma_number_is_zero (num)
|| ecma_number_is_infinity (num))
{
return 0;
}
const bool sign = ecma_number_is_negative (num);
const ecma_number_t abs_num = sign ? -num : num;
/* 2 ^ 32 */
const uint64_t uint64_2_pow_32 = (1ull << 32);
const ecma_number_t num_2_pow_32 = (float) uint64_2_pow_32;
ecma_number_t num_in_uint32_range;
if (abs_num >= num_2_pow_32)
{
num_in_uint32_range = ecma_number_calc_remainder (abs_num,
num_2_pow_32);
}
else
{
num_in_uint32_range = abs_num;
}
/* Check that the floating point value can be represented with uint32_t. */
JERRY_ASSERT (num_in_uint32_range < uint64_2_pow_32);
uint32_t uint32_num = (uint32_t) num_in_uint32_range;
const uint32_t ret = sign ? -uint32_num : uint32_num;
#ifndef JERRY_NDEBUG
if (sign
&& uint32_num != 0)
{
JERRY_ASSERT (ret == uint64_2_pow_32 - uint32_num);
}
else
{
JERRY_ASSERT (ret == uint32_num);
}
#endif /* !JERRY_NDEBUG */
return ret;
} /* ecma_number_to_uint32 */
/**
* ECMA-defined conversion of Number value to Int32 value
*
* See also:
* ECMA-262 v5, 9.5
*
* @return 32-bit signed integer - result of conversion.
*/
int32_t
ecma_number_to_int32 (ecma_number_t num) /**< ecma-number */
{
uint32_t uint32_num = ecma_number_to_uint32 (num);
/* 2 ^ 32 */
const int64_t int64_2_pow_32 = (1ll << 32);
/* 2 ^ 31 */
const uint32_t uint32_2_pow_31 = (1ull << 31);
int32_t ret;
if (uint32_num >= uint32_2_pow_31)
{
ret = (int32_t) (uint32_num - int64_2_pow_32);
}
else
{
ret = (int32_t) uint32_num;
}
#ifndef JERRY_NDEBUG
int64_t int64_num = uint32_num;
JERRY_ASSERT (int64_num >= 0);
if (int64_num >= uint32_2_pow_31)
{
JERRY_ASSERT (ret == int64_num - int64_2_pow_32);
}
else
{
JERRY_ASSERT (ret == int64_num);
}
#endif /* !JERRY_NDEBUG */
return ret;
} /* ecma_number_to_int32 */
/**
* Perform conversion of ecma-number to decimal representation with decimal exponent.
*
* Note:
* The calculated values correspond to s, n, k parameters in ECMA-262 v5, 9.8.1, item 5:
* - parameter out_digits_p corresponds to s, the digits of the number;
* - parameter out_decimal_exp_p corresponds to n, the decimal exponent;
* - return value corresponds to k, the number of digits.
*
* @return the number of digits
*/
lit_utf8_size_t
ecma_number_to_decimal (ecma_number_t num, /**< ecma-number */
lit_utf8_byte_t *out_digits_p, /**< [out] buffer to fill with digits */
int32_t *out_decimal_exp_p) /**< [out] decimal exponent */
{
JERRY_ASSERT (!ecma_number_is_nan (num));
JERRY_ASSERT (!ecma_number_is_zero (num));
JERRY_ASSERT (!ecma_number_is_infinity (num));
JERRY_ASSERT (!ecma_number_is_negative (num));
return ecma_errol0_dtoa ((double) num, out_digits_p, out_decimal_exp_p);
} /* ecma_number_to_decimal */
/**
* Calculate the number of digits from the given double value whithout franction part
*
* @return number of digits
*/
inline static int32_t JERRY_ATTR_ALWAYS_INLINE
ecma_number_of_digits (double val) /**< ecma number */
{
JERRY_ASSERT (fabs (fmod (val, 1.0)) < EPSILON);
int32_t exponent = 0;
while (val >= 1.0)
{
val /= 10.0;
exponent++;
}
return exponent;
} /* ecma_number_of_digits */
/**
* Convert double value to ASCII
*/
inline static void JERRY_ATTR_ALWAYS_INLINE
ecma_double_to_ascii (double val, /**< ecma number */
lit_utf8_byte_t *buffer_p, /**< buffer to generate digits into */
int32_t num_of_digits, /**< number of digits */
int32_t *exp_p) /**< [out] exponent */
{
int32_t char_cnt = 0;
double divider = 10.0;
double prev_residual;
double mod_res = fmod (val, divider);
buffer_p[num_of_digits - 1 - char_cnt++] = (lit_utf8_byte_t) ((int) mod_res + '0');
divider *= 10.0;
prev_residual = mod_res;
while (char_cnt < num_of_digits)
{
mod_res = fmod (val, divider);
double residual = mod_res - prev_residual;
buffer_p[num_of_digits - 1 - char_cnt++] = (lit_utf8_byte_t) ((int) (residual / (divider / 10.0)) + '0');
divider *= 10.0;
prev_residual = mod_res;
}
*exp_p = char_cnt;
} /* ecma_double_to_ascii */
/**
* Double to binary floating-point number conversion
*
* @return number of generated digits
*/
static inline lit_utf8_size_t JERRY_ATTR_ALWAYS_INLINE
ecma_double_to_binary_floating_point (double val, /**< ecma number */
lit_utf8_byte_t *buffer_p, /**< buffer to generate digits into */
int32_t *exp_p) /**< [out] exponent */
{
int32_t char_cnt = 0;
double integer_part, fraction_part;
fraction_part = fmod (val, 1.0);
integer_part = floor (val);
int32_t num_of_digits = ecma_number_of_digits (integer_part);
if (fabs (integer_part) < EPSILON)
{
buffer_p[0] = '0';
char_cnt++;
}
else if (num_of_digits <= 16) /* Ensure that integer_part is not rounded */
{
while (integer_part > 0.0)
{
buffer_p[num_of_digits - 1 - char_cnt++] = (lit_utf8_byte_t) ((int) fmod (integer_part, 10.0) + '0');
integer_part = floor (integer_part / 10.0);
}
}
else if (num_of_digits <= 21)
{
ecma_double_to_ascii (integer_part, buffer_p, num_of_digits, &char_cnt);
}
else
{
/* According to ECMA-262 v5, 15.7.4.5, step 7: if x >= 10^21, then execution will continue with
* ToString(x) so in this case no further conversions are required. Number 21 in the else if condition
* above must be kept in sync with the number 21 in ecma_builtin_number_prototype_object_to_fixed
* method, step 7. */
*exp_p = num_of_digits;
return 0;
}
*exp_p = char_cnt;
while (fraction_part > 0 && char_cnt < ECMA_MAX_CHARS_IN_STRINGIFIED_NUMBER - 1)
{
fraction_part *= 10;
double tmp = fraction_part;
fraction_part = fmod (fraction_part, 1.0);
integer_part = floor (tmp);
buffer_p[char_cnt++] = (lit_utf8_byte_t) ('0' + (int) integer_part);
}
buffer_p[char_cnt] = '\0';
return (lit_utf8_size_t) (char_cnt - *exp_p);
} /* ecma_double_to_binary_floating_point */
/**
* Perform conversion of ecma-number to equivalent binary floating-point number representation with decimal exponent.
*
* Note:
* The calculated values correspond to s, n, k parameters in ECMA-262 v5, 9.8.1, item 5:
* - parameter out_digits_p corresponds to s, the digits of the number;
* - parameter out_decimal_exp_p corresponds to n, the decimal exponent;
* - return value corresponds to k, the number of digits.
*
* @return the number of digits
*/
lit_utf8_size_t
ecma_number_to_binary_floating_point_number (ecma_number_t num, /**< ecma-number */
lit_utf8_byte_t *out_digits_p, /**< [out] buffer to fill with digits */
int32_t *out_decimal_exp_p) /**< [out] decimal exponent */
{
JERRY_ASSERT (!ecma_number_is_nan (num));
JERRY_ASSERT (!ecma_number_is_zero (num));
JERRY_ASSERT (!ecma_number_is_infinity (num));
JERRY_ASSERT (!ecma_number_is_negative (num));
return ecma_double_to_binary_floating_point ((double) num, out_digits_p, out_decimal_exp_p);
} /* ecma_number_to_binary_floating_point_number */
/**
* Convert ecma-number to zero-terminated string
*
* See also:
* ECMA-262 v5, 9.8.1
*
*
* @return size of utf-8 string
*/
lit_utf8_size_t
ecma_number_to_utf8_string (ecma_number_t num, /**< ecma-number */
lit_utf8_byte_t *buffer_p, /**< buffer for utf-8 string */
lit_utf8_size_t buffer_size) /**< size of buffer */
{
lit_utf8_byte_t *dst_p;
if (ecma_number_is_nan (num))
{
/* 1. */
dst_p = lit_copy_magic_string_to_buffer (LIT_MAGIC_STRING_NAN, buffer_p, buffer_size);
return (lit_utf8_size_t) (dst_p - buffer_p);
}
if (ecma_number_is_zero (num))
{
/* 2. */
*buffer_p = LIT_CHAR_0;
JERRY_ASSERT (1 <= buffer_size);
return 1;
}
dst_p = buffer_p;
if (ecma_number_is_negative (num))
{
/* 3. */
*dst_p++ = LIT_CHAR_MINUS;
num = -num;
}
if (ecma_number_is_infinity (num))
{
/* 4. */
dst_p = lit_copy_magic_string_to_buffer (LIT_MAGIC_STRING_INFINITY_UL, dst_p,
(lit_utf8_size_t) (buffer_p + buffer_size - dst_p));
JERRY_ASSERT (dst_p <= buffer_p + buffer_size);
return (lit_utf8_size_t) (dst_p - buffer_p);
}
JERRY_ASSERT (ecma_number_get_next (ecma_number_get_prev (num)) == num);
/* 5. */
uint32_t num_uint32 = ecma_number_to_uint32 (num);
if (((ecma_number_t) num_uint32) == num)
{
dst_p += ecma_uint32_to_utf8_string (num_uint32, dst_p, (lit_utf8_size_t) (buffer_p + buffer_size - dst_p));
JERRY_ASSERT (dst_p <= buffer_p + buffer_size);
return (lit_utf8_size_t) (dst_p - buffer_p);
}
/* decimal exponent */
int32_t n;
/* number of digits in mantissa */
int32_t k;
k = (int32_t) ecma_number_to_decimal (num, dst_p, &n);
if (k <= n && n <= 21)
{
/* 6. */
dst_p += k;
memset (dst_p, LIT_CHAR_0, (size_t) (n - k));
dst_p += n - k;
JERRY_ASSERT (dst_p <= buffer_p + buffer_size);
return (lit_utf8_size_t) (dst_p - buffer_p);
}
if (0 < n && n <= 21)
{
/* 7. */
memmove (dst_p + n + 1, dst_p + n, (size_t) (k - n));
*(dst_p + n) = LIT_CHAR_DOT;
dst_p += k + 1;
JERRY_ASSERT (dst_p <= buffer_p + buffer_size);
return (lit_utf8_size_t) (dst_p - buffer_p);
}
if (-6 < n && n <= 0)
{
/* 8. */
memmove (dst_p + 2 - n, dst_p, (size_t) k);
memset (dst_p + 2, LIT_CHAR_0, (size_t) -n);
*dst_p = LIT_CHAR_0;
*(dst_p + 1) = LIT_CHAR_DOT;
dst_p += k - n + 2;
JERRY_ASSERT (dst_p <= buffer_p + buffer_size);
return (lit_utf8_size_t) (dst_p - buffer_p);
}
if (k == 1)
{
/* 9. */
dst_p++;
}
else
{
/* 10. */
memmove (dst_p + 2, dst_p + 1, (size_t) (k - 1));
*(dst_p + 1) = LIT_CHAR_DOT;
dst_p += k + 1;
}
/* 9., 10. */
*dst_p++ = LIT_CHAR_LOWERCASE_E;
*dst_p++ = (n >= 1) ? LIT_CHAR_PLUS : LIT_CHAR_MINUS;
uint32_t t = (uint32_t) (n >= 1 ? (n - 1) : -(n - 1));
dst_p += ecma_uint32_to_utf8_string (t, dst_p, (lit_utf8_size_t) (buffer_p + buffer_size - dst_p));
JERRY_ASSERT (dst_p <= buffer_p + buffer_size);
return (lit_utf8_size_t) (dst_p - buffer_p);
} /* ecma_number_to_utf8_string */
/**
* @}
* @}
*/