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// Licensed to the Apache Software Foundation (ASF) under one | |
// or more contributor license agreements. See the NOTICE file | |
// distributed with this work for additional information | |
// regarding copyright ownership. The ASF licenses this file | |
// to you 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. | |
Object.defineProperty(exports, "__esModule", { value: true }); | |
exports.float64ToUint16 = exports.uint16ToFloat64 = void 0; | |
const f64 = new Float64Array(1); | |
const u32 = new Uint32Array(f64.buffer); | |
/** | |
* Convert uint16 (logically a float16) to a JS float64. Inspired by numpy's `npy_half_to_double`: | |
* https://github.com/numpy/numpy/blob/5a5987291dc95376bb098be8d8e5391e89e77a2c/numpy/core/src/npymath/halffloat.c#L29 | |
* @param h {number} the uint16 to convert | |
* @private | |
* @ignore | |
*/ | |
function uint16ToFloat64(h) { | |
const expo = (h & 0x7C00) >> 10; | |
const sigf = (h & 0x03FF) / 1024; | |
const sign = Math.pow((-1), ((h & 0x8000) >> 15)); | |
switch (expo) { | |
case 0x1F: return sign * (sigf ? Number.NaN : 1 / 0); | |
case 0x00: return sign * (sigf ? 6.103515625e-5 * sigf : 0); | |
} | |
return sign * (Math.pow(2, (expo - 15))) * (1 + sigf); | |
} | |
exports.uint16ToFloat64 = uint16ToFloat64; | |
/** | |
* Convert a float64 to uint16 (assuming the float64 is logically a float16). Inspired by numpy's `npy_double_to_half`: | |
* https://github.com/numpy/numpy/blob/5a5987291dc95376bb098be8d8e5391e89e77a2c/numpy/core/src/npymath/halffloat.c#L43 | |
* @param d {number} The float64 to convert | |
* @private | |
* @ignore | |
*/ | |
function float64ToUint16(d) { | |
if (d !== d) { | |
return 0x7E00; | |
} // NaN | |
f64[0] = d; | |
// Magic numbers: | |
// 0x80000000 = 10000000 00000000 00000000 00000000 -- masks the 32nd bit | |
// 0x7ff00000 = 01111111 11110000 00000000 00000000 -- masks the 21st-31st bits | |
// 0x000fffff = 00000000 00001111 11111111 11111111 -- masks the 1st-20th bit | |
const sign = (u32[1] & 0x80000000) >> 16 & 0xFFFF; | |
let expo = (u32[1] & 0x7FF00000), sigf = 0x0000; | |
if (expo >= 0x40F00000) { | |
// | |
// If exponent overflowed, the float16 is either NaN or Infinity. | |
// Rules to propagate the sign bit: mantissa > 0 ? NaN : +/-Infinity | |
// | |
// Magic numbers: | |
// 0x40F00000 = 01000000 11110000 00000000 00000000 -- 6-bit exponent overflow | |
// 0x7C000000 = 01111100 00000000 00000000 00000000 -- masks the 27th-31st bits | |
// | |
// returns: | |
// qNaN, aka 32256 decimal, 0x7E00 hex, or 01111110 00000000 binary | |
// sNaN, aka 32000 decimal, 0x7D00 hex, or 01111101 00000000 binary | |
// +inf, aka 31744 decimal, 0x7C00 hex, or 01111100 00000000 binary | |
// -inf, aka 64512 decimal, 0xFC00 hex, or 11111100 00000000 binary | |
// | |
// If mantissa is greater than 23 bits, set to +Infinity like numpy | |
if (u32[0] > 0) { | |
expo = 0x7C00; | |
} | |
else { | |
expo = (expo & 0x7C000000) >> 16; | |
sigf = (u32[1] & 0x000FFFFF) >> 10; | |
} | |
} | |
else if (expo <= 0x3F000000) { | |
// | |
// If exponent underflowed, the float is either signed zero or subnormal. | |
// | |
// Magic numbers: | |
// 0x3F000000 = 00111111 00000000 00000000 00000000 -- 6-bit exponent underflow | |
// | |
sigf = 0x100000 + (u32[1] & 0x000FFFFF); | |
sigf = 0x100000 + (sigf << ((expo >> 20) - 998)) >> 21; | |
expo = 0; | |
} | |
else { | |
// | |
// No overflow or underflow, rebase the exponent and round the mantissa | |
// Magic numbers: | |
// 0x200 = 00000010 00000000 -- masks off the 10th bit | |
// | |
// Ensure the first mantissa bit (the 10th one) is 1 and round | |
expo = (expo - 0x3F000000) >> 10; | |
sigf = ((u32[1] & 0x000FFFFF) + 0x200) >> 10; | |
} | |
return sign | expo | sigf & 0xFFFF; | |
} | |
exports.float64ToUint16 = float64ToUint16; | |
//# sourceMappingURL=math.js.map | |