Improve float number handling and conversion (#4820)
Fixes #4739. JerryScript-DCO-1.0-Signed-off-by: Dániel Bátyai dbatyai@inf.u-szeged.hu
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Dániel Bátyai
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/* Copyright JS Foundation and other contributors, http://js.foundation
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*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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#ifndef ECMA_HELPERS_NUMBER_H
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#define ECMA_HELPERS_NUMBER_H
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#include "ecma-globals.h"
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#include "config.h"
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/**
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* Binary representation of an ecma-number
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*/
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#if JERRY_NUMBER_TYPE_FLOAT64
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typedef uint64_t ecma_binary_num_t;
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#else /* !JERRY_NUMBER_TYPE_FLOAT64 */
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typedef uint32_t ecma_binary_num_t;
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#endif /* !JERRY_NUMBER_TYPE_FLOAT64 */
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/**
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* Makes it possible to read/write the binary representation of an ecma_number_t
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* without strict aliasing rule violation.
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*/
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typedef union
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{
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ecma_number_t as_number; /**< ecma-number */
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ecma_binary_num_t as_binary; /**< binary representation */
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} ecma_number_accessor_t;
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ecma_binary_num_t ecma_number_to_binary (ecma_number_t number);
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ecma_number_t ecma_number_from_binary (ecma_binary_num_t binary);
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bool ecma_number_sign (ecma_binary_num_t binary);
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uint32_t ecma_number_biased_exp (ecma_binary_num_t binary);
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uint64_t ecma_number_fraction (ecma_binary_num_t binary);
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ecma_number_t ecma_number_create (bool sign, uint32_t biased_exp, uint64_t fraction);
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/**
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* Maximum number of significant decimal digits that an ecma-number can store
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*/
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#if JERRY_NUMBER_TYPE_FLOAT64
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#define ECMA_NUMBER_MAX_DIGITS (19)
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#else /* !JERRY_NUMBER_TYPE_FLOAT64 */
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#define ECMA_NUMBER_MAX_DIGITS (9)
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#endif /* !JERRY_NUMBER_TYPE_FLOAT64 */
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/**
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* Width of sign field
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*
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* See also:
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* IEEE-754 2008, 3.6, Table 3.5
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*/
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#define ECMA_NUMBER_SIGN_WIDTH (1)
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/**
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* Width of biased exponent field
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*
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* See also:
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* IEEE-754 2008, 3.6, Table 3.5
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*/
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#if JERRY_NUMBER_TYPE_FLOAT64
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#define ECMA_NUMBER_BIASED_EXP_WIDTH (11)
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#else /* !JERRY_NUMBER_TYPE_FLOAT64 */
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#define ECMA_NUMBER_BIASED_EXP_WIDTH (8)
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#endif /* !JERRY_NUMBER_TYPE_FLOAT64 */
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/**
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* Exponent bias
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*/
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#if JERRY_NUMBER_TYPE_FLOAT64
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#define ECMA_NUMBER_EXPONENT_BIAS (1023)
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#else /* !JERRY_NUMBER_TYPE_FLOAT64 */
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#define ECMA_NUMBER_EXPONENT_BIAS (127)
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#endif /* !JERRY_NUMBER_TYPE_FLOAT64 */
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/**
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* Width of fraction field
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*
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* See also:
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* IEEE-754 2008, 3.6, Table 3.5
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*/
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#if JERRY_NUMBER_TYPE_FLOAT64
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#define ECMA_NUMBER_FRACTION_WIDTH (52)
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#else /* !JERRY_NUMBER_TYPE_FLOAT64 */
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#define ECMA_NUMBER_FRACTION_WIDTH (23)
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#endif /* !JERRY_NUMBER_TYPE_FLOAT64 */
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/**
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* Sign bit in ecma-numbers
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*/
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#if JERRY_NUMBER_TYPE_FLOAT64
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#define ECMA_NUMBER_SIGN_BIT 0x8000000000000000ull
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#else /* !JERRY_NUMBER_TYPE_FLOAT64 */
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#define ECMA_NUMBER_SIGN_BIT 0x7f800000u;
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#endif /* !JERRY_NUMBER_TYPE_FLOAT64 */
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/**
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* Binary representation of an IEEE-754 QNaN value.
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*/
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#if JERRY_NUMBER_TYPE_FLOAT64
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#define ECMA_NUMBER_BINARY_QNAN 0x7ff8000000000000ull
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#else /* !JERRY_NUMBER_TYPE_FLOAT64 */
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#define ECMA_NUMBER_BINARY_QNAN 0x7fc00000u
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#endif /* JERRY_NUMBER_TYPE_FLOAT64 */
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/**
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* Binary representation of an IEEE-754 Infinity value.
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*/
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#if JERRY_NUMBER_TYPE_FLOAT64
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#define ECMA_NUMBER_BINARY_INF 0x7ff0000000000000ull
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#else /* !JERRY_NUMBER_TYPE_FLOAT64 */
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#define ECMA_NUMBER_BINARY_INF 0x7f800000u
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#endif /* JERRY_NUMBER_TYPE_FLOAT64 */
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/**
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* Binary representation of an IEEE-754 zero value.
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*/
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#define ECMA_NUMBER_BINARY_ZERO 0x0ull
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/**
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* Number.MIN_VALUE (i.e., the smallest positive value of ecma-number)
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*
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* See also: ECMA_262 v5, 15.7.3.3
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*/
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#if JERRY_NUMBER_TYPE_FLOAT64
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#define ECMA_NUMBER_MIN_VALUE ((ecma_number_t) 5e-324)
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#else /* !JERRY_NUMBER_TYPE_FLOAT64 */
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#define ECMA_NUMBER_MIN_VALUE (FLT_MIN)
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#endif /* JERRY_NUMBER_TYPE_FLOAT64 */
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/**
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* Number.MAX_VALUE (i.e., the maximum value of ecma-number)
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*
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* See also: ECMA_262 v5, 15.7.3.2
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*/
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#if JERRY_NUMBER_TYPE_FLOAT64
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#define ECMA_NUMBER_MAX_VALUE ((ecma_number_t) 1.7976931348623157e+308)
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#else /* !JERRY_NUMBER_TYPE_FLOAT64 */
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#define ECMA_NUMBER_MAX_VALUE (FLT_MAX)
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#endif /* JERRY_NUMBER_TYPE_FLOAT64 */
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/**
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* Number.EPSILON
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*
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* See also: ECMA_262 v6, 20.1.2.1
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*/
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#if JERRY_NUMBER_TYPE_FLOAT64
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#define ECMA_NUMBER_EPSILON ((ecma_number_t) 2.2204460492503130808472633361816e-16)
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#else /* !JERRY_NUMBER_TYPE_FLOAT64 */
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#define ECMA_NUMBER_EPSILON ((ecma_number_t) 1.1920928955078125e-7)
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#endif /* JERRY_NUMBER_TYPE_FLOAT64 */
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/**
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* Number.MAX_SAFE_INTEGER
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*
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* See also: ECMA_262 v6, 20.1.2.6
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*/
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#if JERRY_NUMBER_TYPE_FLOAT64
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#define ECMA_NUMBER_MAX_SAFE_INTEGER ((ecma_number_t) 0x1FFFFFFFFFFFFF)
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#else /* !JERRY_NUMBER_TYPE_FLOAT64 */
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#define ECMA_NUMBER_MAX_SAFE_INTEGER ((ecma_number_t) 0xFFFFFF)
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#endif /* JERRY_NUMBER_TYPE_FLOAT64 */
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/**
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* Number.MIN_SAFE_INTEGER
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*
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* See also: ECMA_262 v6, 20.1.2.8
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*/
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#if JERRY_NUMBER_TYPE_FLOAT64
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#define ECMA_NUMBER_MIN_SAFE_INTEGER ((ecma_number_t) -0x1FFFFFFFFFFFFF)
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#else /* !JERRY_NUMBER_TYPE_FLOAT64 */
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#define ECMA_NUMBER_MIN_SAFE_INTEGER ((ecma_number_t) -0xFFFFFF)
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#endif /* JERRY_NUMBER_TYPE_FLOAT64 */
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/**
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* Number.MAX_VALUE exponent part
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*/
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#if JERRY_NUMBER_TYPE_FLOAT64
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#define NUMBER_MAX_DECIMAL_EXPONENT 308
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#else /* !JERRY_NUMBER_TYPE_FLOAT64 */
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#define NUMBER_MAX_DECIMAL_EXPONENT 38
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#endif /* JERRY_NUMBER_TYPE_FLOAT64 */
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/**
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* Number.MIN_VALUE exponent part
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*/
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#if JERRY_NUMBER_TYPE_FLOAT64
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#define NUMBER_MIN_DECIMAL_EXPONENT -324
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#else /* !JERRY_NUMBER_TYPE_FLOAT64 */
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#define NUMBER_MIN_DECIMAL_EXPONENT -45
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#endif /* JERRY_NUMBER_TYPE_FLOAT64 */
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/**
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* Euler number
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*/
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#define ECMA_NUMBER_E ((ecma_number_t) 2.7182818284590452354)
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/**
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* Natural logarithm of 10
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*/
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#define ECMA_NUMBER_LN10 ((ecma_number_t) 2.302585092994046)
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/**
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* Natural logarithm of 2
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*/
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#define ECMA_NUMBER_LN2 ((ecma_number_t) 0.6931471805599453)
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/**
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* Logarithm base 2 of the Euler number
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*/
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#define ECMA_NUMBER_LOG2E ((ecma_number_t) 1.4426950408889634)
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/**
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* Logarithm base 10 of the Euler number
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*/
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#define ECMA_NUMBER_LOG10E ((ecma_number_t) 0.4342944819032518)
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/**
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* Pi number
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*/
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#define ECMA_NUMBER_PI ((ecma_number_t) 3.1415926535897932)
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/**
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* Square root of 0.5
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*/
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#define ECMA_NUMBER_SQRT_1_2 ((ecma_number_t) 0.7071067811865476)
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/**
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* Square root of 2
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*/
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#define ECMA_NUMBER_SQRT2 ((ecma_number_t) 1.4142135623730951)
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#endif /* !ECMA_HELPERS_NUMBER_H */
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