/* Copyright 2014-2015 Samsung Electronics Co., Ltd. * * 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. */ /** \addtogroup ecma ECMA * @{ * * \addtogroup ecmahelpers Helpers for operations with ECMA data types * @{ */ #include "ecma-globals.h" #include "ecma-helpers.h" #include "jrt-libc-includes.h" #include "lit-char-helpers.h" #include "lit-magic-strings.h" /* * \addtogroup ecmahelpersbigintegers Helpers for operations intermediate 128-bit integers * @{ */ /** * Check that parts of 128-bit integer are 32-bit. */ #define ECMA_NUMBER_CONVERSION_128BIT_INTEGER_CHECK_PARTS_ARE_32BIT(name) \ { \ JERRY_ASSERT (name[0] == (uint32_t) name[0]); \ JERRY_ASSERT (name[1] == (uint32_t) name[1]); \ JERRY_ASSERT (name[2] == (uint32_t) name[2]); \ JERRY_ASSERT (name[3] == (uint32_t) name[3]); \ } /** * Declare 128-bit integer. */ #define ECMA_NUMBER_CONVERSION_128BIT_INTEGER(name) uint64_t name[4] = { 0, 0, 0, 0 } /** * Declare 128-bit in-out argument integer. */ #define ECMA_NUMBER_CONVERSION_128BIT_INTEGER_ARG(name) uint64_t name[4] /** * Initialize 128-bit integer with given 32-bit parts */ #define ECMA_NUMBER_CONVERSION_128BIT_INTEGER_INIT(name, high, mid_high, mid_low, low) \ { \ name[3] = high; \ name[2] = mid_high; \ name[1] = mid_low; \ name[0] = low; \ \ ECMA_NUMBER_CONVERSION_128BIT_INTEGER_CHECK_PARTS_ARE_32BIT (name); \ } /** * Copy specified 128-bit integer */ #define ECMA_NUMBER_CONVERSION_128BIT_INTEGER_COPY(name_copy_to, name_copy_from) \ { \ ECMA_NUMBER_CONVERSION_128BIT_INTEGER_CHECK_PARTS_ARE_32BIT (name_copy_to); \ ECMA_NUMBER_CONVERSION_128BIT_INTEGER_CHECK_PARTS_ARE_32BIT (name_copy_from); \ \ name_copy_to[0] = name_copy_from[0]; \ name_copy_to[1] = name_copy_from[1]; \ name_copy_to[2] = name_copy_from[2]; \ name_copy_to[3] = name_copy_from[3]; \ } /** * Copy high and middle parts of 128-bit integer to specified uint64_t variable */ #define ECMA_NUMBER_CONVERSION_128BIT_INTEGER_ROUND_HIGH_AND_MIDDLE_TO_UINT64(name, uint64_var) \ { \ ECMA_NUMBER_CONVERSION_128BIT_INTEGER_CHECK_PARTS_ARE_32BIT (name); \ uint64_var = ((name[3] << 32u) | (name[2])) + (((name[1] >> 31u) != 0 ? 1 : 0)); \ } /** * Copy middle and low parts of 128-bit integer to specified uint64_t variable */ #define ECMA_NUMBER_CONVERSION_128BIT_INTEGER_ROUND_MIDDLE_AND_LOW_TO_UINT64(name, uint64_var) \ { \ ECMA_NUMBER_CONVERSION_128BIT_INTEGER_CHECK_PARTS_ARE_32BIT (name); \ uint64_var = (name[1] << 32u) | (name[0]); \ } /** * Check if specified 128-bit integers are equal */ #define ECMA_NUMBER_CONVERSION_128BIT_INTEGER_ARE_EQUAL(name1, name2) \ ((name1)[0] == (name2[0]) \ && (name1)[1] == (name2[1]) \ && (name1)[2] == (name2[2]) \ && (name1)[3] == (name2[3])) /** * Check if bits [lowest_bit, 128) are zero */ #define ECMA_NUMBER_CONVERSION_128BIT_INTEGER_IS_HIGH_BIT_MASK_ZERO(name, lowest_bit) \ ((lowest_bit) >= 96 ? ((name[3] >> ((lowest_bit) - 96)) == 0) : \ ((lowest_bit) >= 64 ? (name[3] == 0 \ && ((name[2] >> ((lowest_bit) - 64)) == 0)) : \ ((lowest_bit) >= 32 ? (name[3] == 0 \ && name[2] == 0 && ((name[1] >> ((lowest_bit) - 32)) == 0)) : \ (name[3] == 0 && name[2] == 0 && name[1] == 0 && ((name[0] >> (lowest_bit)) == 0))))) /** * Check if bits [0, highest_bit] are zero */ #define ECMA_NUMBER_CONVERSION_128BIT_INTEGER_IS_LOW_BIT_MASK_ZERO(name, highest_bit) \ ((highest_bit >= 96) ? (name[2] == 0 && name[1] == 0 && name[0] == 0 \ && (((uint32_t) name[3] << (127 - (highest_bit))) == 0)) : \ ((highest_bit >= 64) ? (name[1] == 0 && name[0] == 0 \ && (((uint32_t) name[2] << (95 - (highest_bit))) == 0)) : \ ((highest_bit >= 32) ? (name[0] == 0 \ && (((uint32_t) name[1] << (63 - (highest_bit))) == 0)) : \ (((uint32_t) name[0] << (31 - (highest_bit))) == 0)))) /** * Check if 128-bit integer is zero */ #define ECMA_NUMBER_CONVERSION_128BIT_INTEGER_IS_ZERO(name) \ ECMA_NUMBER_CONVERSION_128BIT_INTEGER_IS_HIGH_BIT_MASK_ZERO (name, 0) /** * Shift 128-bit integer one bit left */ #define ECMA_NUMBER_CONVERSION_128BIT_INTEGER_LEFT_SHIFT(name) \ { \ ECMA_NUMBER_CONVERSION_128BIT_INTEGER_CHECK_PARTS_ARE_32BIT (name); \ \ name[3] = (uint32_t) (name[3] << 1u); \ name[3] |= name[2] >> 31u; \ name[2] = (uint32_t) (name[2] << 1u); \ name[2] |= name[1] >> 31u; \ name[1] = (uint32_t) (name[1] << 1u); \ name[1] |= name[0] >> 31u; \ name[0] = (uint32_t) (name[0] << 1u); \ \ ECMA_NUMBER_CONVERSION_128BIT_INTEGER_CHECK_PARTS_ARE_32BIT (name); \ } /** * Shift 128-bit integer one bit right */ #define ECMA_NUMBER_CONVERSION_128BIT_INTEGER_RIGHT_SHIFT(name) \ { \ ECMA_NUMBER_CONVERSION_128BIT_INTEGER_CHECK_PARTS_ARE_32BIT (name); \ \ name[0] >>= 1u; \ name[0] |= (uint32_t) (name[1] << 31u); \ name[1] >>= 1u; \ name[1] |= (uint32_t) (name[2] << 31u); \ name[2] >>= 1u; \ name[2] |= (uint32_t) (name[3] << 31u); \ name[3] >>= 1u; \ \ ECMA_NUMBER_CONVERSION_128BIT_INTEGER_CHECK_PARTS_ARE_32BIT (name); \ } /** * Increment 128-bit integer */ #define ECMA_NUMBER_CONVERSION_128BIT_INTEGER_INC(name) \ { \ ECMA_NUMBER_CONVERSION_128BIT_INTEGER_CHECK_PARTS_ARE_32BIT (name); \ \ name[0] += 1ull; \ name[1] += (name[0] >> 32u); \ name[0] = (uint32_t) name[0]; \ name[2] += (name[1] >> 32u); \ name[1] = (uint32_t) name[1]; \ name[3] += (name[2] >> 32u); \ name[2] = (uint32_t) name[2]; \ \ ECMA_NUMBER_CONVERSION_128BIT_INTEGER_CHECK_PARTS_ARE_32BIT (name); \ } /** * Add 128-bit integer */ #define ECMA_NUMBER_CONVERSION_128BIT_INTEGER_ADD(name_add_to, name_to_add) \ { \ ECMA_NUMBER_CONVERSION_128BIT_INTEGER_CHECK_PARTS_ARE_32BIT (name_add_to); \ ECMA_NUMBER_CONVERSION_128BIT_INTEGER_CHECK_PARTS_ARE_32BIT (name_to_add); \ \ name_add_to[0] += name_to_add[0]; \ name_add_to[1] += name_to_add[1]; \ name_add_to[2] += name_to_add[2]; \ name_add_to[3] += name_to_add[3]; \ \ name_add_to[1] += (name_add_to[0] >> 32u); \ name_add_to[0] = (uint32_t) name_add_to[0]; \ name_add_to[2] += (name_add_to[1] >> 32u); \ name_add_to[1] = (uint32_t) name_add_to[1]; \ name_add_to[3] += (name_add_to[2] >> 32u); \ name_add_to[2] = (uint32_t) name_add_to[2]; \ \ ECMA_NUMBER_CONVERSION_128BIT_INTEGER_CHECK_PARTS_ARE_32BIT (name_add_to); \ ECMA_NUMBER_CONVERSION_128BIT_INTEGER_CHECK_PARTS_ARE_32BIT (name_to_add); \ } /** * Multiply 128-bit integer by 10 */ #define ECMA_NUMBER_CONVERSION_128BIT_INTEGER_MUL_10(name) \ { \ ECMA_NUMBER_CONVERSION_128BIT_INTEGER_CHECK_PARTS_ARE_32BIT (name); \ \ ECMA_NUMBER_CONVERSION_128BIT_INTEGER_LEFT_SHIFT (name); \ \ ECMA_NUMBER_CONVERSION_128BIT_INTEGER (name ## _tmp); \ \ ECMA_NUMBER_CONVERSION_128BIT_INTEGER_COPY (name ## _tmp, name); \ \ ECMA_NUMBER_CONVERSION_128BIT_INTEGER_LEFT_SHIFT (name ## _tmp); \ ECMA_NUMBER_CONVERSION_128BIT_INTEGER_LEFT_SHIFT (name ## _tmp); \ \ ECMA_NUMBER_CONVERSION_128BIT_INTEGER_ADD (name, name ## _tmp); \ \ ECMA_NUMBER_CONVERSION_128BIT_INTEGER_CHECK_PARTS_ARE_32BIT (name); \ } /** * Divide 128-bit integer by 10 */ #define ECMA_NUMBER_CONVERSION_128BIT_INTEGER_DIV_10(name) \ { \ ECMA_NUMBER_CONVERSION_128BIT_INTEGER_CHECK_PARTS_ARE_32BIT (name); \ \ /* estimation of reciprocal of 10 */ \ const uint64_t div10_p_low = 0x9999999aul; \ const uint64_t div10_p_mid = 0x99999999ul; \ const uint64_t div10_p_high = 0x19999999ul; \ \ uint64_t intermediate[8] = { 0, 0, 0, 0, 0, 0, 0, 0 }; \ uint64_t l0, l1, l2, l3, m0, m1, m2, m3, h0, h1, h2, h3; \ l0 = name[0] * div10_p_low; \ l1 = name[1] * div10_p_low; \ l2 = name[2] * div10_p_low; \ l3 = name[3] * div10_p_low; \ m0 = name[0] * div10_p_mid; \ m1 = name[1] * div10_p_mid; \ m2 = name[2] * div10_p_mid; \ m3 = name[3] * div10_p_mid; \ h0 = name[0] * div10_p_high; \ h1 = name[1] * div10_p_high; \ h2 = name[2] * div10_p_high; \ h3 = name[3] * div10_p_high; \ intermediate[0] += (uint32_t) l0; \ intermediate[1] += l0 >> 32u; \ \ intermediate[1] += (uint32_t) l1; \ intermediate[2] += l1 >> 32u; \ intermediate[1] += (uint32_t) m0; \ intermediate[2] += m0 >> 32u; \ \ intermediate[2] += (uint32_t) l2; \ intermediate[3] += l2 >> 32u; \ intermediate[2] += (uint32_t) m1; \ intermediate[3] += m1 >> 32u; \ intermediate[2] += (uint32_t) m0; \ intermediate[3] += m0 >> 32u; \ \ intermediate[3] += (uint32_t) l3; \ intermediate[4] += l3 >> 32u; \ intermediate[3] += (uint32_t) m2; \ intermediate[4] += m2 >> 32u; \ intermediate[3] += (uint32_t) m1; \ intermediate[4] += m1 >> 32u; \ intermediate[3] += (uint32_t) h0; \ intermediate[4] += h0 >> 32u; \ \ intermediate[4] += (uint32_t) m3; \ intermediate[5] += m3 >> 32u; \ intermediate[4] += (uint32_t) m2; \ intermediate[5] += m2 >> 32u; \ intermediate[4] += (uint32_t) h1; \ intermediate[5] += h1 >> 32u; \ \ intermediate[5] += (uint32_t) m3; \ intermediate[6] += m3 >> 32u; \ intermediate[5] += (uint32_t) h2; \ intermediate[6] += h2 >> 32u; \ \ intermediate[6] += (uint32_t) h3; \ intermediate[7] += h3 >> 32u; \ \ intermediate[1] += intermediate[0] >> 32u; \ intermediate[0] = (uint32_t) intermediate[0]; \ intermediate[2] += intermediate[1] >> 32u; \ intermediate[1] = (uint32_t) intermediate[1]; \ intermediate[3] += intermediate[2] >> 32u; \ intermediate[2] = (uint32_t) intermediate[2]; \ intermediate[4] += intermediate[3] >> 32u; \ intermediate[3] = (uint32_t) intermediate[3]; \ intermediate[5] += intermediate[4] >> 32u; \ intermediate[4] = (uint32_t) intermediate[4]; \ intermediate[6] += intermediate[5] >> 32u; \ intermediate[5] = (uint32_t) intermediate[5]; \ intermediate[7] += intermediate[6] >> 32u; \ intermediate[6] = (uint32_t) intermediate[6]; \ \ name[0] = intermediate[4]; \ name[1] = intermediate[5]; \ name[2] = intermediate[6]; \ name[3] = intermediate[7]; \ \ ECMA_NUMBER_CONVERSION_128BIT_INTEGER_CHECK_PARTS_ARE_32BIT (name); \ } /** * @} */ /** * 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); const lit_utf8_byte_t dec_digits_range[10] = { '0', '9' }; const lit_utf8_byte_t hex_lower_digits_range[10] = { 'a', 'f' }; const lit_utf8_byte_t hex_upper_digits_range[10] = { 'A', 'F' }; const lit_utf8_byte_t hex_x_chars[2] = { 'x', 'X' }; const lit_utf8_byte_t e_chars[2] = { 'e', 'E' }; const lit_utf8_byte_t plus_char = '+'; const lit_utf8_byte_t minus_char = '-'; const lit_utf8_byte_t dot_char = '.'; if (str_size == 0) { return ECMA_NUMBER_ZERO; } lit_utf8_iterator_t iter = lit_utf8_iterator_create (str_p, str_size); ecma_char_t code_unit; while (!lit_utf8_iterator_is_eos (&iter)) { code_unit = lit_utf8_iterator_peek_next (&iter); if (lit_char_is_white_space (code_unit) || lit_char_is_line_terminator (code_unit)) { lit_utf8_iterator_incr (&iter); } else { break; } } JERRY_ASSERT (!iter.buf_pos.is_non_bmp_middle); const lit_utf8_byte_t *begin_p = iter.buf_p + iter.buf_pos.offset; iter = lit_utf8_iterator_create (iter.buf_p + iter.buf_pos.offset, str_size - iter.buf_pos.offset); lit_utf8_iterator_seek_eos (&iter); while (!lit_utf8_iterator_is_bos (&iter)) { code_unit = lit_utf8_iterator_peek_prev (&iter); if (lit_char_is_white_space (code_unit) || lit_char_is_line_terminator (code_unit)) { lit_utf8_iterator_decr (&iter); } else { break; } } JERRY_ASSERT (!iter.buf_pos.is_non_bmp_middle); const lit_utf8_byte_t *end_p = iter.buf_p + iter.buf_pos.offset - 1; if (begin_p > end_p) { return ECMA_NUMBER_ZERO; } const ssize_t literal_len = end_p - begin_p + 1; if (literal_len > 2 && begin_p[0] == dec_digits_range[0] && (begin_p[1] == hex_x_chars[0] || begin_p[1] == hex_x_chars[1])) { /* Hex literal handling */ begin_p += 2; ecma_number_t num = 0; for (const lit_utf8_byte_t * iter_p = begin_p; iter_p <= end_p; iter_p++) { int32_t digit_value; if (*iter_p >= dec_digits_range[0] && *iter_p <= dec_digits_range[1]) { digit_value = (*iter_p - dec_digits_range[0]); } else if (*iter_p >= hex_lower_digits_range[0] && *iter_p <= hex_lower_digits_range[1]) { digit_value = 10 + (*iter_p - hex_lower_digits_range[0]); } else if (*iter_p >= hex_upper_digits_range[0] && *iter_p <= hex_upper_digits_range[1]) { digit_value = 10 + (*iter_p - hex_upper_digits_range[0]); } else { return ecma_number_make_nan (); } num = num * 16 + (ecma_number_t) digit_value; } return num; } bool sign = false; /* positive */ if (*begin_p == plus_char) { begin_p++; } else if (*begin_p == minus_char) { 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); for (const lit_utf8_byte_t *iter_p = begin_p, *iter_infinity_p = infinity_zt_str_p; ; iter_infinity_p++, iter_p++) { if (*iter_p != *iter_infinity_p) { break; } if (iter_p == end_p) { return ecma_number_make_infinity (sign); } } uint64_t fraction_uint64 = 0; uint32_t digits = 0; int32_t e = 0; /* 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 >= dec_digits_range[0] && *begin_p <= dec_digits_range[1]) { digit_value = (*begin_p - dec_digits_range[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 if (e <= 100000) /* Some limit to not overflow exponent value (so big exponent anyway will make number rounded to infinity) */ { e++; } } begin_p++; } if (begin_p <= end_p && *begin_p == dot_char) { begin_p++; /* Parsing number's part that is placed after dot */ while (begin_p <= end_p) { int32_t digit_value; if (*begin_p >= dec_digits_range[0] && *begin_p <= dec_digits_range[1]) { digit_value = (*begin_p - dec_digits_range[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 == e_chars[0] || *begin_p == e_chars[1])) { begin_p++; if (*begin_p == plus_char) { begin_p++; } else if (*begin_p == minus_char) { 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 >= dec_digits_range[0] && *begin_p <= dec_digits_range[1]) { digit_value = (*begin_p - dec_digits_range[0]); } else { return ecma_number_make_nan (); } e_in_lit = e_in_lit * 10 + digit_value; 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 CONFIG_ECMA_NUMBER_TYPE == CONFIG_ECMA_NUMBER_FLOAT64 int32_t binary_exponent = 1; /* * 128-bit mantissa storage * * Normalized: |4 bits zero|124-bit mantissa with highest bit set to 1 if mantissa is non-zero| */ ECMA_NUMBER_CONVERSION_128BIT_INTEGER (fraction_uint128); ECMA_NUMBER_CONVERSION_128BIT_INTEGER_INIT (fraction_uint128, fraction_uint64 >> 32u, (uint32_t) fraction_uint64, 0ull, 0ull); /* Normalizing mantissa */ JERRY_ASSERT (ECMA_NUMBER_CONVERSION_128BIT_INTEGER_IS_HIGH_BIT_MASK_ZERO (fraction_uint128, 124)); while (ECMA_NUMBER_CONVERSION_128BIT_INTEGER_IS_HIGH_BIT_MASK_ZERO (fraction_uint128, 123)) { ECMA_NUMBER_CONVERSION_128BIT_INTEGER_LEFT_SHIFT (fraction_uint128); binary_exponent--; JERRY_ASSERT (!ECMA_NUMBER_CONVERSION_128BIT_INTEGER_IS_ZERO (fraction_uint128)); } if (!e_sign) { /* positive or zero decimal exponent */ JERRY_ASSERT (e >= 0); while (e > 0) { JERRY_ASSERT (ECMA_NUMBER_CONVERSION_128BIT_INTEGER_IS_HIGH_BIT_MASK_ZERO (fraction_uint128, 124)); ECMA_NUMBER_CONVERSION_128BIT_INTEGER_MUL_10 (fraction_uint128); e--; /* Normalizing mantissa */ while (!ECMA_NUMBER_CONVERSION_128BIT_INTEGER_IS_HIGH_BIT_MASK_ZERO (fraction_uint128, 124)) { ECMA_NUMBER_CONVERSION_128BIT_INTEGER_RIGHT_SHIFT (fraction_uint128); binary_exponent++; } while (ECMA_NUMBER_CONVERSION_128BIT_INTEGER_IS_HIGH_BIT_MASK_ZERO (fraction_uint128, 123)) { ECMA_NUMBER_CONVERSION_128BIT_INTEGER_LEFT_SHIFT (fraction_uint128); binary_exponent--; JERRY_ASSERT (!ECMA_NUMBER_CONVERSION_128BIT_INTEGER_IS_ZERO (fraction_uint128)); } } } else { /* negative decimal exponent */ JERRY_ASSERT (e != 0); while (e > 0) { /* Denormalizing mantissa, moving highest 1 to 95-bit */ while (ECMA_NUMBER_CONVERSION_128BIT_INTEGER_IS_HIGH_BIT_MASK_ZERO (fraction_uint128, 127)) { ECMA_NUMBER_CONVERSION_128BIT_INTEGER_LEFT_SHIFT (fraction_uint128); binary_exponent--; JERRY_ASSERT (!ECMA_NUMBER_CONVERSION_128BIT_INTEGER_IS_ZERO (fraction_uint128)); } ECMA_NUMBER_CONVERSION_128BIT_INTEGER_DIV_10 (fraction_uint128); e--; } /* Normalizing mantissa */ while (!ECMA_NUMBER_CONVERSION_128BIT_INTEGER_IS_HIGH_BIT_MASK_ZERO (fraction_uint128, 124)) { ECMA_NUMBER_CONVERSION_128BIT_INTEGER_RIGHT_SHIFT (fraction_uint128); binary_exponent++; } while (ECMA_NUMBER_CONVERSION_128BIT_INTEGER_IS_HIGH_BIT_MASK_ZERO (fraction_uint128, 123)) { ECMA_NUMBER_CONVERSION_128BIT_INTEGER_LEFT_SHIFT (fraction_uint128); binary_exponent--; JERRY_ASSERT (!ECMA_NUMBER_CONVERSION_128BIT_INTEGER_IS_ZERO (fraction_uint128)); } } JERRY_ASSERT (!ECMA_NUMBER_CONVERSION_128BIT_INTEGER_IS_ZERO (fraction_uint128)); JERRY_ASSERT (ECMA_NUMBER_CONVERSION_128BIT_INTEGER_IS_HIGH_BIT_MASK_ZERO (fraction_uint128, 124)); /* * Preparing mantissa for conversion to 52-bit representation, converting it to: * * |12 zero bits|116 mantissa bits| */ while (!ECMA_NUMBER_CONVERSION_128BIT_INTEGER_IS_HIGH_BIT_MASK_ZERO (fraction_uint128, 116 + 1)) { ECMA_NUMBER_CONVERSION_128BIT_INTEGER_RIGHT_SHIFT (fraction_uint128); binary_exponent++; } while (ECMA_NUMBER_CONVERSION_128BIT_INTEGER_IS_HIGH_BIT_MASK_ZERO (fraction_uint128, 116)) { ECMA_NUMBER_CONVERSION_128BIT_INTEGER_LEFT_SHIFT (fraction_uint128); binary_exponent--; JERRY_ASSERT (!ECMA_NUMBER_CONVERSION_128BIT_INTEGER_IS_ZERO (fraction_uint128)); } JERRY_ASSERT (ECMA_NUMBER_CONVERSION_128BIT_INTEGER_IS_HIGH_BIT_MASK_ZERO (fraction_uint128, 116 + 1)); ECMA_NUMBER_CONVERSION_128BIT_INTEGER_ROUND_HIGH_AND_MIDDLE_TO_UINT64 (fraction_uint128, fraction_uint64); return ecma_number_make_from_sign_mantissa_and_exponent (sign, fraction_uint64, binary_exponent); #elif CONFIG_ECMA_NUMBER_TYPE == CONFIG_ECMA_NUMBER_FLOAT32 /* 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 /* CONFIG_ECMA_NUMBER_TYPE == CONFIG_ECMA_NUMBER_FLOAT32 */ } /* 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 */ ssize_t ecma_uint32_to_utf8_string (uint32_t value, /**< value to convert */ lit_utf8_byte_t *out_buffer_p, /**< buffer for string */ ssize_t buffer_size) /**< size of buffer */ { const lit_utf8_byte_t digits[10] = { '0', '1', '2', '3', '4', '5', '6', '7', '8', '9' }; lit_utf8_byte_t *p = out_buffer_p + buffer_size - 1; size_t bytes_copied = 0; do { JERRY_ASSERT (p >= out_buffer_p); *p-- = digits[value % 10]; value /= 10; bytes_copied ++; } while (value != 0); p++; JERRY_ASSERT (p >= out_buffer_p); if (likely (p != out_buffer_p)) { ssize_t bytes_to_move = out_buffer_p + buffer_size - p; memmove (out_buffer_p, p, (size_t) bytes_to_move); } return (ssize_t) bytes_copied; } /* ecma_uint32_to_utf8_string */ /** * ECMA-defined conversion of UInt32 value to Number value * * @return number - result of conversion. */ ecma_number_t ecma_uint32_to_number (uint32_t value) /**< unsigned 32-bit integer value */ { ecma_number_t num_value = (ecma_number_t) value; return num_value; } /* ecma_uint32_to_number */ /** * ECMA-defined conversion of Int32 value to Number value * * @return number - result of conversion. */ ecma_number_t ecma_int32_to_number (int32_t value) /**< signed 32-bit integer value */ { ecma_number_t num_value = (ecma_number_t) value; return num_value; } /* ecma_int32_to_number */ /** * 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; } bool sign = ecma_number_is_negative (num); ecma_number_t abs_num; if (sign) { abs_num = ecma_number_negate (num); } else { abs_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; uint32_t ret; if (sign) { ret = -uint32_num; } else { ret = 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 */ #if CONFIG_ECMA_NUMBER_TYPE == CONFIG_ECMA_NUMBER_FLOAT64 /** * Perform conversion of 128-bit binary representation of number * to decimal representation with decimal exponent. */ static void ecma_number_helper_binary_to_decimal (ECMA_NUMBER_CONVERSION_128BIT_INTEGER_ARG (fraction_uint128), /**< mantissa */ int32_t binary_exponent, /**< binary exponent */ int32_t *out_decimal_exp_p) /**< out: decimal exponent */ { int32_t decimal_exp = 0; if (binary_exponent > 0) { while (binary_exponent > 0) { if (!ECMA_NUMBER_CONVERSION_128BIT_INTEGER_IS_HIGH_BIT_MASK_ZERO (fraction_uint128, 124)) { ECMA_NUMBER_CONVERSION_128BIT_INTEGER_INC (fraction_uint128); ECMA_NUMBER_CONVERSION_128BIT_INTEGER_RIGHT_SHIFT (fraction_uint128); binary_exponent++; } else { ECMA_NUMBER_CONVERSION_128BIT_INTEGER (fraction_uint128_tmp); ECMA_NUMBER_CONVERSION_128BIT_INTEGER_COPY (fraction_uint128_tmp, fraction_uint128); ECMA_NUMBER_CONVERSION_128BIT_INTEGER_DIV_10 (fraction_uint128_tmp); ECMA_NUMBER_CONVERSION_128BIT_INTEGER_MUL_10 (fraction_uint128_tmp); if (!ECMA_NUMBER_CONVERSION_128BIT_INTEGER_ARE_EQUAL (fraction_uint128, fraction_uint128_tmp) && ECMA_NUMBER_CONVERSION_128BIT_INTEGER_IS_HIGH_BIT_MASK_ZERO (fraction_uint128, 123)) { ECMA_NUMBER_CONVERSION_128BIT_INTEGER_LEFT_SHIFT (fraction_uint128); binary_exponent--; } else { ECMA_NUMBER_CONVERSION_128BIT_INTEGER_DIV_10 (fraction_uint128); decimal_exp++; } } } } else if (binary_exponent < 0) { while (binary_exponent < 0) { if (ECMA_NUMBER_CONVERSION_128BIT_INTEGER_IS_LOW_BIT_MASK_ZERO (fraction_uint128, 0) || !ECMA_NUMBER_CONVERSION_128BIT_INTEGER_IS_HIGH_BIT_MASK_ZERO (fraction_uint128, 124)) { ECMA_NUMBER_CONVERSION_128BIT_INTEGER_RIGHT_SHIFT (fraction_uint128); binary_exponent++; } else { ECMA_NUMBER_CONVERSION_128BIT_INTEGER_MUL_10 (fraction_uint128); decimal_exp--; } } } *out_decimal_exp_p = decimal_exp; } /* ecma_number_helper_binary_to_decimal */ #endif /* CONFIG_ECMA_NUMBER_TYPE == CONFIG_ECMA_NUMBER_FLOAT64 */ /** * 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: * - s represents digits of the number; * - k is the number of digits; * - n is the decimal exponent. */ void ecma_number_to_decimal (ecma_number_t num, /**< ecma-number */ uint64_t *out_digits_p, /**< out: digits */ int32_t *out_digits_num_p, /**< out: number of 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)); #if CONFIG_ECMA_NUMBER_TYPE == CONFIG_ECMA_NUMBER_FLOAT64 ecma_number_t num_m1 = ecma_number_get_prev (num); ecma_number_t num_p1 = ecma_number_get_next (num); ECMA_NUMBER_CONVERSION_128BIT_INTEGER (fraction_uint128); ECMA_NUMBER_CONVERSION_128BIT_INTEGER (fraction_uint128_m1); ECMA_NUMBER_CONVERSION_128BIT_INTEGER (fraction_uint128_p1); uint64_t fraction_uint64, fraction_uint64_m1, fraction_uint64_p1; int32_t binary_exponent, binary_exponent_m1, binary_exponent_p1; int32_t decimal_exp, decimal_exp_m1, decimal_exp_p1; int32_t dot_shift, dot_shift_m1, dot_shift_p1; dot_shift_m1 = ecma_number_get_fraction_and_exponent (num_m1, &fraction_uint64_m1, &binary_exponent_m1); dot_shift = ecma_number_get_fraction_and_exponent (num, &fraction_uint64, &binary_exponent); dot_shift_p1 = ecma_number_get_fraction_and_exponent (num_p1, &fraction_uint64_p1, &binary_exponent_p1); binary_exponent_m1 -= dot_shift_m1; binary_exponent -= dot_shift; binary_exponent_p1 -= dot_shift_p1; ECMA_NUMBER_CONVERSION_128BIT_INTEGER_INIT (fraction_uint128, 0ull, 0ull, (fraction_uint64) >> 32u, ((fraction_uint64) << 32u) >> 32u); ECMA_NUMBER_CONVERSION_128BIT_INTEGER_INIT (fraction_uint128_m1, 0ull, 0ull, (fraction_uint64_m1) >> 32u, ((fraction_uint64_m1) << 32u) >> 32u); ECMA_NUMBER_CONVERSION_128BIT_INTEGER_INIT (fraction_uint128_p1, 0ull, 0ull, (fraction_uint64_p1) >> 32u, ((fraction_uint64_p1) << 32u) >> 32u); ecma_number_helper_binary_to_decimal (fraction_uint128, binary_exponent, &decimal_exp); ecma_number_helper_binary_to_decimal (fraction_uint128_m1, binary_exponent_m1, &decimal_exp_m1); ecma_number_helper_binary_to_decimal (fraction_uint128_p1, binary_exponent_p1, &decimal_exp_p1); if (ECMA_NUMBER_CONVERSION_128BIT_INTEGER_IS_ZERO (fraction_uint128_m1)) { decimal_exp_m1 = decimal_exp; } while (decimal_exp != decimal_exp_m1 || decimal_exp != decimal_exp_p1) { while (decimal_exp > decimal_exp_m1 || decimal_exp > decimal_exp_p1) { ECMA_NUMBER_CONVERSION_128BIT_INTEGER_MUL_10 (fraction_uint128); decimal_exp--; } while (decimal_exp_m1 > decimal_exp || decimal_exp_m1 > decimal_exp_p1) { ECMA_NUMBER_CONVERSION_128BIT_INTEGER_MUL_10 (fraction_uint128_m1); decimal_exp_m1--; } while (decimal_exp_p1 > decimal_exp || decimal_exp_p1 > decimal_exp_m1) { ECMA_NUMBER_CONVERSION_128BIT_INTEGER_MUL_10 (fraction_uint128_p1); decimal_exp_p1--; } } ECMA_NUMBER_CONVERSION_128BIT_INTEGER_ADD (fraction_uint128_m1, fraction_uint128); ECMA_NUMBER_CONVERSION_128BIT_INTEGER_RIGHT_SHIFT (fraction_uint128_m1); ECMA_NUMBER_CONVERSION_128BIT_INTEGER_ADD (fraction_uint128_p1, fraction_uint128); ECMA_NUMBER_CONVERSION_128BIT_INTEGER_RIGHT_SHIFT (fraction_uint128_p1); /* While fraction doesn't fit to integer, divide it by 10 and simultaneously increment decimal exponent */ uint64_t digits_min, digits_max; while (!ECMA_NUMBER_CONVERSION_128BIT_INTEGER_IS_HIGH_BIT_MASK_ZERO (fraction_uint128_m1, 63)) { ECMA_NUMBER_CONVERSION_128BIT_INTEGER_DIV_10 (fraction_uint128_m1); decimal_exp_m1++; } while (!ECMA_NUMBER_CONVERSION_128BIT_INTEGER_IS_HIGH_BIT_MASK_ZERO (fraction_uint128_p1, 63)) { ECMA_NUMBER_CONVERSION_128BIT_INTEGER_DIV_10 (fraction_uint128_p1); decimal_exp_p1++; } ECMA_NUMBER_CONVERSION_128BIT_INTEGER_ROUND_MIDDLE_AND_LOW_TO_UINT64 (fraction_uint128_m1, digits_min); ECMA_NUMBER_CONVERSION_128BIT_INTEGER_ROUND_MIDDLE_AND_LOW_TO_UINT64 (fraction_uint128_p1, digits_max); digits_min++; if (decimal_exp_m1 < decimal_exp_p1) { JERRY_ASSERT (decimal_exp_m1 == decimal_exp_p1 - 1); digits_min /= 10; decimal_exp_m1++; } else if (decimal_exp_m1 > decimal_exp_p1) { JERRY_ASSERT (decimal_exp_m1 == decimal_exp_p1 + 1); digits_max /= 10; decimal_exp_p1++; } JERRY_ASSERT (digits_max >= digits_min); while (digits_min / 10 != digits_max / 10) { digits_min /= 10; digits_max /= 10; decimal_exp_m1++; decimal_exp_p1++; } uint64_t digits = (digits_min + digits_max + 1) / 2; int32_t digits_num = 0; uint64_t t = digits; while (t != 0) { t /= 10; digits_num++; } JERRY_ASSERT (digits_num > 0); *out_digits_p = digits; *out_digits_num_p = digits_num; *out_decimal_exp_p = decimal_exp_p1 + digits_num; #elif CONFIG_ECMA_NUMBER_TYPE == CONFIG_ECMA_NUMBER_FLOAT32 /* Less precise conversion */ uint64_t fraction_uint64; uint32_t fraction; int32_t exponent; int32_t dot_shift; int32_t decimal_exp = 0; dot_shift = ecma_number_get_fraction_and_exponent (num, &fraction_uint64, &exponent); fraction = (uint32_t) fraction_uint64; JERRY_ASSERT (fraction == fraction_uint64); if (exponent != 0) { ecma_number_t t = 1.0f; bool do_divide; if (exponent < 0) { do_divide = true; while (exponent <= 0) { t *= 2.0f; exponent++; if (t >= 10.0f) { t /= 10.0f; decimal_exp--; } JERRY_ASSERT (t < 10.0f); } while (t > 1.0f) { exponent--; t /= 2.0f; } } else { do_divide = false; while (exponent >= 0) { t *= 2.0f; exponent--; if (t >= 10.0f) { t /= 10.0f; decimal_exp++; } JERRY_ASSERT (t < 10.0f); } while (t > 2.0f) { exponent++; t /= 2.0f; } } if (do_divide) { fraction = (uint32_t) ((ecma_number_t) fraction / t); } else { fraction = (uint32_t) ((ecma_number_t) fraction * t); } } uint32_t s; int32_t n; int32_t k; if (exponent > 0) { fraction <<= exponent; } else { fraction >>= -exponent; } const int32_t int_part_shift = dot_shift; const uint32_t frac_part_mask = ((((uint32_t)1) << int_part_shift) - 1); uint32_t int_part = fraction >> int_part_shift; uint32_t frac_part = fraction & frac_part_mask; s = int_part; k = 1; n = decimal_exp + 1; JERRY_ASSERT (int_part < 10); while (k < ECMA_NUMBER_MAX_DIGITS && frac_part != 0) { frac_part *= 10; uint32_t new_frac_part = frac_part & frac_part_mask; uint32_t digit = (frac_part - new_frac_part) >> int_part_shift; s = s * 10 + digit; k++; frac_part = new_frac_part; } JERRY_ASSERT (k > 0); *out_digits_p = s; *out_digits_num_p = k; *out_decimal_exp_p = n; #endif /* CONFIG_ECMA_NUMBER_TYPE == CONFIG_ECMA_NUMBER_FLOAT32 */ } /* ecma_number_to_decimal */ /** * 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 */ ssize_t buffer_size) /**< size of buffer */ { const lit_utf8_byte_t digits[10] = { '0', '1', '2', '3', '4', '5', '6', '7', '8', '9' }; const lit_utf8_byte_t e_chars[2] = { 'e', 'E' }; const lit_utf8_byte_t plus_char = '+'; const lit_utf8_byte_t minus_char = '-'; const lit_utf8_byte_t dot_char = '.'; lit_utf8_size_t size; if (ecma_number_is_nan (num)) { // 1. lit_copy_magic_string_to_buffer (LIT_MAGIC_STRING_NAN, buffer_p, buffer_size); size = lit_get_magic_string_size (LIT_MAGIC_STRING_NAN); } else { lit_utf8_byte_t *dst_p = buffer_p; if (ecma_number_is_zero (num)) { // 2. *dst_p++ = digits[0]; JERRY_ASSERT (dst_p - buffer_p <= (ssize_t) buffer_size); size = (lit_utf8_size_t) (dst_p - buffer_p); } else if (ecma_number_is_negative (num)) { // 3. *dst_p++ = minus_char; ssize_t new_buffer_size = (buffer_size - (dst_p - buffer_p)); size = 1 + ecma_number_to_utf8_string (ecma_number_negate (num), dst_p, new_buffer_size); } else if (ecma_number_is_infinity (num)) { // 4. dst_p = lit_copy_magic_string_to_buffer (LIT_MAGIC_STRING_INFINITY_UL, buffer_p, buffer_size); size = (lit_utf8_size_t) (dst_p - buffer_p); } else { ecma_number_t p = ecma_number_get_prev (num); ecma_number_t q = ecma_number_get_next (p); JERRY_ASSERT (q == num); // 5. uint32_t num_uint32 = ecma_number_to_uint32 (num); if (ecma_uint32_to_number (num_uint32) == num) { size = (lit_utf8_size_t) ecma_uint32_to_utf8_string (num_uint32, dst_p, buffer_size); } else { /* mantissa */ uint64_t s; /* decimal exponent */ int32_t n; /* number of digits in k */ int32_t k; ecma_number_to_decimal (num, &s, &k, &n); // 6. if (k <= n && n <= 21) { dst_p += n; JERRY_ASSERT ((ssize_t) (dst_p - buffer_p) <= buffer_size); size = (lit_utf8_size_t) (dst_p - buffer_p); for (int32_t i = 0; i < n - k; i++) { *--dst_p = digits[0]; } for (int32_t i = 0; i < k; i++) { *--dst_p = digits[s % 10]; s /= 10; } } else if (0 < n && n <= 21) { // 7. dst_p += k + 1; JERRY_ASSERT ((ssize_t) (dst_p - buffer_p) <= buffer_size); size = (lit_utf8_size_t) (dst_p - buffer_p); for (int32_t i = 0; i < k - n; i++) { *--dst_p = digits[s % 10]; s /= 10; } *--dst_p = dot_char; for (int32_t i = 0; i < n; i++) { *--dst_p = digits[s % 10]; s /= 10; } } else if (-6 < n && n <= 0) { // 8. dst_p += k - n + 1 + 1; JERRY_ASSERT ((ssize_t) (dst_p - buffer_p) <= buffer_size); size = (lit_utf8_size_t) (dst_p - buffer_p); for (int32_t i = 0; i < k; i++) { *--dst_p = digits[s % 10]; s /= 10; } for (int32_t i = 0; i < -n; i++) { *--dst_p = digits[0]; } *--dst_p = dot_char; *--dst_p = digits[0]; } else { if (k == 1) { // 9. JERRY_ASSERT (1 <= buffer_size); size = 1; *dst_p++ = digits[s % 10]; s /= 10; } else { // 10. dst_p += k + 1; JERRY_ASSERT ((ssize_t) (dst_p - buffer_p) <= buffer_size); for (int32_t i = 0; i < k - 1; i++) { *--dst_p = digits[s % 10]; s /= 10; } *--dst_p = dot_char; *--dst_p = digits[s % 10]; s /= 10; dst_p += k + 1; } // 9., 10. JERRY_ASSERT ((ssize_t) (dst_p - buffer_p + 2) <= buffer_size); *dst_p++ = e_chars[0]; *dst_p++ = (n >= 1) ? plus_char : minus_char; int32_t t = (n >= 1) ? (n - 1) : -(n - 1); if (t == 0) { JERRY_ASSERT ((ssize_t) (dst_p - buffer_p) <= buffer_size); *dst_p++ = digits[0]; } else { int32_t t_mod = 1000000000u; while ((t / t_mod) == 0) { t_mod /= 10; JERRY_ASSERT (t != 0); } while (t_mod != 0) { JERRY_ASSERT ((ssize_t) (dst_p - buffer_p + 1) <= buffer_size); *dst_p++ = digits[t / t_mod]; t -= (t / t_mod) * t_mod; t_mod /= 10; } } JERRY_ASSERT ((ssize_t) (dst_p - buffer_p) <= buffer_size); size = (lit_utf8_size_t) (dst_p - buffer_p); } JERRY_ASSERT (s == 0); } } } return size; } /* ecma_number_to_utf8_string */ /** * @} * @} */