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* @license Apache-2.0
*
* Copyright (c) 2024 The Stdlib Authors.
*
* 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.
*/
'use strict';
// MODULES //
var isNumber = require( '@stdlib/assert/is-number' ).isPrimitive;
var isBoolean = require( '@stdlib/assert/is-boolean' ).isPrimitive;
var isInteger = require( '@stdlib/math/base/assert/is-integer' );
var isNegativeZero = require( '@stdlib/math/base/assert/is-negative-zero' );
var isComplexLike = require( '@stdlib/assert/is-complex-like' );
var PINF = require( '@stdlib/constants/float64/pinf' );
var NINF = require( '@stdlib/constants/float64/ninf' );
var FLOAT32_SMALLEST_SUBNORMAL = require( '@stdlib/constants/float32/smallest-subnormal' ); // eslint-disable-line id-length
var FLOAT32_MAX_SAFE_INTEGER = require( '@stdlib/constants/float32/max-safe-integer' );
var FLOAT32_MIN_SAFE_INTEGER = require( '@stdlib/constants/float32/min-safe-integer' );
var INT8_MIN = require( '@stdlib/constants/int8/min' );
var INT16_MIN = require( '@stdlib/constants/int16/min' );
var INT32_MIN = require( '@stdlib/constants/int32/min' );
var UINT8_MAX = require( '@stdlib/constants/uint8/max' );
var UINT16_MAX = require( '@stdlib/constants/uint16/max' );
var UINT32_MAX = require( '@stdlib/constants/uint32/max' );
// FUNCTIONS //
/**
* Returns the minimum floating-point ndarray data type of the closest "kind" necessary for storing a provided scalar.
*
* @private
* @param {number} value - real value
* @returns {string} ndarray data type
*/
function minFloatDataType( value ) {
if ( value !== value || value === PINF || value === NINF ) {
return 'float32';
}
if ( isInteger( value ) ) {
if ( value >= FLOAT32_MIN_SAFE_INTEGER && value <= FLOAT32_MAX_SAFE_INTEGER ) { // eslint-disable-line max-len
return 'float32';
}
return 'float64';
}
// Assume that if we are provided a tiny value, we don't want to underflow to zero by storing as `float32`...
if (
value > -FLOAT32_SMALLEST_SUBNORMAL &&
value < FLOAT32_SMALLEST_SUBNORMAL
) {
return 'float64';
}
// Any number which reaches this point is less than the maximum single-precision floating-point number, as floating-point format supports a limited number of decimals (e.g., (1.0+EPS)*10**15 => 1000000000000000.2, which is less than ~3.4e38)...
return 'float32';
}
// MAIN //
/**
* Returns the minimum ndarray data type of the closest "kind" necessary for storing a provided scalar value.
*
* @param {*} value - scalar value
* @returns {string} ndarray data type
*
* @example
* var dt = minDataType( 3.141592653589793 );
* // returns 'float32'
*
* @example
* var dt = minDataType( 3 );
* // returns 'uint8'
*/
function minDataType( value ) {
if ( !isNumber( value ) ) {
if ( isBoolean( value ) ) {
return 'bool';
}
if ( isComplexLike( value ) ) {
if ( minFloatDataType( value.re ) === 'float64' || minFloatDataType( value.im ) === 'float64' ) {
return 'complex128';
}
return 'complex64';
}
return 'generic';
}
if ( value !== value || value === PINF || value === NINF ) {
return 'float32';
}
if ( isInteger( value ) ) {
if ( value === 0 && isNegativeZero( value ) ) {
return 'float32';
}
if ( value < 0 ) {
if ( value >= INT8_MIN ) {
return 'int8';
}
if ( value >= INT16_MIN ) {
return 'int16';
}
if ( value >= INT32_MIN ) {
return 'int32';
}
return 'float64';
}
if ( value <= UINT8_MAX ) {
return 'uint8';
}
if ( value <= UINT16_MAX ) {
return 'uint16';
}
if ( value <= UINT32_MAX ) {
return 'uint32';
}
return 'float64';
}
// Assume that if we are provided a tiny value, we don't want to underflow to zero by storing as `float32`...
if (
value > -FLOAT32_SMALLEST_SUBNORMAL &&
value < FLOAT32_SMALLEST_SUBNORMAL
) {
return 'float64';
}
// Any number which reaches this point is less than the maximum single-precision floating-point number, given that floating-point format supports a limited number of decimals (e.g., (1.0+EPS)*10**15 => 1000000000000000.2, which is less than ~3.4e38)...
return 'float32';
}
// EXPORTS //
module.exports = minDataType;
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