/* * alaw.h * Copyright (c) 2025 Christopher Herb * * Permission is hereby granted, free of charge, to any person obtaining a copy * of this software and associated documentation files (the "Software"), to deal * in the Software without restriction, including without limitation the rights * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell * copies of the Software, and to permit persons to whom the Software is * furnished to do so, subject to the following conditions: * * The above copyright notice and this permission notice shall be included in * all copies or substantial portions of the Software. * * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE * SOFTWARE. */ #pragma once #include #include #include "lut.h" namespace trnr { constexpr float A_LAW_A = 87.6f; constexpr float A_LAW_LN_A = 4.474f; constexpr int32_t A_LAW_A_Q15 = static_cast(A_LAW_A * (1 << 15)); constexpr int32_t A_LAW_LN_A_Q15 = static_cast(A_LAW_LN_A * (1 << 15)); constexpr int32_t ONE_LN_A_Q15 = (1 << 15) + A_LAW_LN_A_Q15; // Threshold in Q15: 1/A ≈ 0.0114 → 373 in Q15 constexpr int32_t ENCODE_THRESHOLD_Q15 = static_cast((1.0f / A_LAW_A) * (1 << 15)); // Threshold in Q15: 1/(1+ln(A)) ≈ 0.183 → 5996 in Q15 constexpr int32_t DECODE_THRESHOLD_Q15 = static_cast((1.0f / (1.0f + A_LAW_LN_A)) * (1 << 15)); inline float alaw_encode(float input) { float sign = (input >= 0.0f) ? 1.0f : -1.0f; float abs_sample = std::fabs(input); float output; if (abs_sample < (1.0f / A_LAW_A)) { output = sign * (A_LAW_A * abs_sample) / (1.0f + std::log(A_LAW_A)); } else { output = sign * (1.0f + std::log(A_LAW_A * abs_sample)) / (1.0f + std::log(A_LAW_A)); } return output; } inline float alaw_decode(float input) { float sign = (input >= 0.0f) ? 1.0f : -1.0f; float abs_comp = std::fabs(input); float sample; if (abs_comp < (1.0f / (1.0f + std::log(A_LAW_A)))) { sample = sign * (abs_comp * (1.0f + std::log(A_LAW_A))) / A_LAW_A; } else { sample = sign * std::exp(abs_comp * (1.0f + std::log(A_LAW_A)) - 1.0f) / A_LAW_A; } return sample; } inline int16_t alaw_encode_fixed(int16_t input) { int32_t sign = (input >= 0) ? 1 : -1; int32_t abs_sample = std::abs(input); int32_t output; if (abs_sample < ENCODE_THRESHOLD_Q15) { // Linear region: y = A*x / (1 + ln(A)) // A_Q15 * x_Q15 / ONE_LN_A_Q15 where ONE_LN_A_Q15 is already scaled by 32768 output = (int32_t)(((int64_t)A_LAW_A_Q15 * abs_sample) / ONE_LN_A_Q15); } else { // Logarithmic region: y = (1 + ln(A*x)) / (1 + ln(A)) // Scale Q15 sample to log table input range [4, 4096] int32_t log_input = std::max(4, abs_sample >> 3); int32_t log_x_q15 = fixed_log(log_input); // ln(A*x) = ln(A) + ln(x) in Q15 int32_t log_ax_q15 = A_LAW_LN_A_Q15 + log_x_q15; // y = (1 + ln(A*x)) / (1 + ln(A)) // numerator in Q15, denominator is ONE_LN_A_Q15 (which is (1+ln(A))*32768) int64_t numerator = ((int64_t)1 << 15) + log_ax_q15; output = (int32_t)((numerator << 15) / ONE_LN_A_Q15); } output *= sign; // Clamp to int16 range if (output > 32767) output = 32767; if (output < -32768) output = -32768; return static_cast(output); } inline int16_t alaw_decode_fixed(int16_t input) { int32_t sign = (input >= 0) ? 1 : -1; int32_t abs_comp = std::abs(input); int32_t sample; if (abs_comp < DECODE_THRESHOLD_Q15) { // Linear region: x = y * (1 + ln(A)) / A sample = (int32_t)(((int64_t)abs_comp * ONE_LN_A_Q15) / A_LAW_A_Q15); } else { // Logarithmic region: x = exp(y * (1 + ln(A)) - 1) / A // exp_arg_q12 = ((y_q15 * ONE_LN_A_Q15 * 8192) / (32768*32768*9)) - 910 // Computing in 64-bit to avoid overflow int64_t temp = (((int64_t)abs_comp * ONE_LN_A_Q15) * 8192LL) / (32768LL * 32768LL * 9LL) - 910; int32_t exp_arg_q12 = (int32_t)temp; // Clamp to valid range if (exp_arg_q12 < 0) exp_arg_q12 = 0; if (exp_arg_q12 > 4096) exp_arg_q12 = 4096; int32_t exp_val_q15 = fixed_exp(exp_arg_q12); sample = (int32_t)(((int64_t)exp_val_q15 << 15) / A_LAW_A_Q15); } sample *= sign; if (sample > 32767) sample = 32767; if (sample < -32768) sample = -32768; return static_cast(sample); } } // namespace trnr