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See the NOTICE file\n// distributed with this work for additional information\n// regarding copyright ownership. The ASF licenses this file\n// to you under the Apache License, Version 2.0 (the\n// \"License\"); you may not use this file except in compliance\n// with the License. You may obtain a copy of the License at\n//\n// http://www.apache.org/licenses/LICENSE-2.0\n//\n// Unless required by applicable law or agreed to in writing,\n// software distributed under the License is distributed on an\n// \"AS IS\" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY\n// KIND, either express or implied. See the License for the\n// specific language governing permissions and limitations\n// under the License.\n\nconst f64 = new Float64Array(1);\nconst u32 = new Uint32Array(f64.buffer);\n\n/**\n * Convert uint16 (logically a float16) to a JS float64. Inspired by numpy's `npy_half_to_double`:\n * https://github.com/numpy/numpy/blob/5a5987291dc95376bb098be8d8e5391e89e77a2c/numpy/core/src/npymath/halffloat.c#L29\n * @param h {number} the uint16 to convert\n * @private\n * @ignore\n */\nexport function uint16ToFloat64(h: number) {\n let expo = (h & 0x7C00) >> 10;\n let sigf = (h & 0x03FF) / 1024;\n let sign = (-1) ** ((h & 0x8000) >> 15);\n switch (expo) {\n case 0x1F: return sign * (sigf ? NaN : 1 / 0);\n case 0x00: return sign * (sigf ? 6.103515625e-5 * sigf : 0);\n }\n return sign * (2 ** (expo - 15)) * (1 + sigf);\n}\n\n/**\n * Convert a float64 to uint16 (assuming the float64 is logically a float16). Inspired by numpy's `npy_double_to_half`:\n * https://github.com/numpy/numpy/blob/5a5987291dc95376bb098be8d8e5391e89e77a2c/numpy/core/src/npymath/halffloat.c#L43\n * @param d {number} The float64 to convert\n * @private\n * @ignore\n */\nexport function float64ToUint16(d: number) {\n\n if (d !== d) { return 0x7E00; } // NaN\n\n f64[0] = d;\n\n // Magic numbers:\n // 0x80000000 = 10000000 00000000 00000000 00000000 -- masks the 32nd bit\n // 0x7ff00000 = 01111111 11110000 00000000 00000000 -- masks the 21st-31st bits\n // 0x000fffff = 00000000 00001111 11111111 11111111 -- masks the 1st-20th bit\n\n let sign = (u32[1] & 0x80000000) >> 16 & 0xFFFF;\n let expo = (u32[1] & 0x7ff00000), sigf = 0x0000;\n\n if (expo >= 0x40f00000) {\n //\n // If exponent overflowed, the float16 is either NaN or Infinity.\n // Rules to propagate the sign bit: mantissa > 0 ? NaN : +/-Infinity\n //\n // Magic numbers:\n // 0x40F00000 = 01000000 11110000 00000000 00000000 -- 6-bit exponent overflow\n // 0x7C000000 = 01111100 00000000 00000000 00000000 -- masks the 27th-31st bits\n //\n // returns:\n // qNaN, aka 32256 decimal, 0x7E00 hex, or 01111110 00000000 binary\n // sNaN, aka 32000 decimal, 0x7D00 hex, or 01111101 00000000 binary\n // +inf, aka 31744 decimal, 0x7C00 hex, or 01111100 00000000 binary\n // -inf, aka 64512 decimal, 0xFC00 hex, or 11111100 00000000 binary\n //\n // If mantissa is greater than 23 bits, set to +Infinity like numpy\n if (u32[0] > 0) {\n expo = 0x7C00;\n } else {\n expo = (expo & 0x7C000000) >> 16;\n sigf = (u32[1] & 0x000fffff) >> 10;\n }\n } else if (expo <= 0x3f000000) {\n //\n // If exponent underflowed, the float is either signed zero or subnormal.\n //\n // Magic numbers:\n // 0x3F000000 = 00111111 00000000 00000000 00000000 -- 6-bit exponent underflow\n //\n sigf = 0x100000 + (u32[1] & 0x000fffff);\n sigf = 0x100000 + (sigf << ((expo >> 20) - 998)) >> 21;\n expo = 0;\n } else {\n //\n // No overflow or underflow, rebase the exponent and round the mantissa\n // Magic numbers:\n // 0x200 = 00000010 00000000 -- masks off the 10th bit\n //\n\n // Ensure the first mantissa bit (the 10th one) is 1 and round\n expo = (expo - 0x3f000000) >> 10;\n sigf = ((u32[1] & 0x000fffff) + 0x200) >> 10;\n }\n\n return sign | expo | sigf & 0xFFFF;\n}\n"]} |