/* libFLAC - Free Lossless Audio Codec library * Copyright (C) 2000-2009 Josh Coalson * Copyright (C) 2011-2023 Xiph.Org Foundation * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * * - Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * * - Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in the * documentation and/or other materials provided with the distribution. * * - Neither the name of the Xiph.org Foundation nor the names of its * contributors may be used to endorse or promote products derived from * this software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */ #ifndef FLAC__PRIVATE__LPC_H #define FLAC__PRIVATE__LPC_H #ifdef HAVE_CONFIG_H #include #endif #include "private/cpu.h" #include "private/float.h" #include "FLAC/format.h" #ifndef FLAC__INTEGER_ONLY_LIBRARY /* * FLAC__lpc_window_data() * -------------------------------------------------------------------- * Applies the given window to the data. * OPT: asm implementation * * IN in[0,data_len-1] * IN window[0,data_len-1] * OUT out[0,lag-1] * IN data_len */ void FLAC__lpc_window_data(const FLAC__int32 in[], const FLAC__real window[], FLAC__real out[], uint32_t data_len); void FLAC__lpc_window_data_wide(const FLAC__int64 in[], const FLAC__real window[], FLAC__real out[], uint32_t data_len); void FLAC__lpc_window_data_partial(const FLAC__int32 in[], const FLAC__real window[], FLAC__real out[], uint32_t data_len, uint32_t part_size, uint32_t data_shift); void FLAC__lpc_window_data_partial_wide(const FLAC__int64 in[], const FLAC__real window[], FLAC__real out[], uint32_t data_len, uint32_t part_size, uint32_t data_shift); /* * FLAC__lpc_compute_autocorrelation() * -------------------------------------------------------------------- * Compute the autocorrelation for lags between 0 and lag-1. * Assumes data[] outside of [0,data_len-1] == 0. * Asserts that lag > 0. * * IN data[0,data_len-1] * IN data_len * IN 0 < lag <= data_len * OUT autoc[0,lag-1] */ void FLAC__lpc_compute_autocorrelation(const FLAC__real data[], uint32_t data_len, uint32_t lag, double autoc[]); #ifndef FLAC__NO_ASM # if (defined FLAC__CPU_IA32 || defined FLAC__CPU_X86_64) && FLAC__HAS_X86INTRIN # ifdef FLAC__SSE2_SUPPORTED void FLAC__lpc_compute_autocorrelation_intrin_sse2_lag_8(const FLAC__real data[], uint32_t data_len, uint32_t lag, double autoc[]); void FLAC__lpc_compute_autocorrelation_intrin_sse2_lag_10(const FLAC__real data[], uint32_t data_len, uint32_t lag, double autoc[]); void FLAC__lpc_compute_autocorrelation_intrin_sse2_lag_14(const FLAC__real data[], uint32_t data_len, uint32_t lag, double autoc[]); # endif # endif # if defined FLAC__CPU_X86_64 && FLAC__HAS_X86INTRIN # ifdef FLAC__FMA_SUPPORTED void FLAC__lpc_compute_autocorrelation_intrin_fma_lag_8(const FLAC__real data[], uint32_t data_len, uint32_t lag, double autoc[]); void FLAC__lpc_compute_autocorrelation_intrin_fma_lag_12(const FLAC__real data[], uint32_t data_len, uint32_t lag, double autoc[]); void FLAC__lpc_compute_autocorrelation_intrin_fma_lag_16(const FLAC__real data[], uint32_t data_len, uint32_t lag, double autoc[]); # endif # endif #if defined FLAC__CPU_ARM64 && FLAC__HAS_NEONINTRIN && FLAC__HAS_A64NEONINTRIN void FLAC__lpc_compute_autocorrelation_intrin_neon_lag_8(const FLAC__real data[], uint32_t data_len, uint32_t lag, double autoc[]); void FLAC__lpc_compute_autocorrelation_intrin_neon_lag_10(const FLAC__real data[], uint32_t data_len, uint32_t lag, double autoc[]); void FLAC__lpc_compute_autocorrelation_intrin_neon_lag_14(const FLAC__real data[], uint32_t data_len, uint32_t lag, double autoc[]); #endif #endif /* FLAC__NO_ASM */ /* * FLAC__lpc_compute_lp_coefficients() * -------------------------------------------------------------------- * Computes LP coefficients for orders 1..max_order. * Do not call if autoc[0] == 0.0. This means the signal is zero * and there is no point in calculating a predictor. * * IN autoc[0,max_order] autocorrelation values * IN 0 < max_order <= FLAC__MAX_LPC_ORDER max LP order to compute * OUT lp_coeff[0,max_order-1][0,max_order-1] LP coefficients for each order * *** IMPORTANT: * *** lp_coeff[0,max_order-1][max_order,FLAC__MAX_LPC_ORDER-1] are untouched * OUT error[0,max_order-1] error for each order (more * specifically, the variance of * the error signal times # of * samples in the signal) * * Example: if max_order is 9, the LP coefficients for order 9 will be * in lp_coeff[8][0,8], the LP coefficients for order 8 will be * in lp_coeff[7][0,7], etc. */ void FLAC__lpc_compute_lp_coefficients(const double autoc[], uint32_t *max_order, FLAC__real lp_coeff[][FLAC__MAX_LPC_ORDER], double error[]); /* * FLAC__lpc_quantize_coefficients() * -------------------------------------------------------------------- * Quantizes the LP coefficients. NOTE: precision + bits_per_sample * must be less than 32 (sizeof(FLAC__int32)*8). * * IN lp_coeff[0,order-1] LP coefficients * IN order LP order * IN FLAC__MIN_QLP_COEFF_PRECISION < precision * desired precision (in bits, including sign * bit) of largest coefficient * OUT qlp_coeff[0,order-1] quantized coefficients * OUT shift # of bits to shift right to get approximated * LP coefficients. NOTE: could be negative. * RETURN 0 => quantization OK * 1 => coefficients require too much shifting for *shift to * fit in the LPC subframe header. 'shift' is unset. * 2 => coefficients are all zero, which is bad. 'shift' is * unset. */ int FLAC__lpc_quantize_coefficients(const FLAC__real lp_coeff[], uint32_t order, uint32_t precision, FLAC__int32 qlp_coeff[], int *shift); /* * FLAC__lpc_compute_residual_from_qlp_coefficients() * -------------------------------------------------------------------- * Compute the residual signal obtained from sutracting the predicted * signal from the original. * * IN data[-order,data_len-1] original signal (NOTE THE INDICES!) * IN data_len length of original signal * IN qlp_coeff[0,order-1] quantized LP coefficients * IN order > 0 LP order * IN lp_quantization quantization of LP coefficients in bits * OUT residual[0,data_len-1] residual signal */ void FLAC__lpc_compute_residual_from_qlp_coefficients(const FLAC__int32 *data, uint32_t data_len, const FLAC__int32 qlp_coeff[], uint32_t order, int lp_quantization, FLAC__int32 residual[]); void FLAC__lpc_compute_residual_from_qlp_coefficients_wide(const FLAC__int32 *data, uint32_t data_len, const FLAC__int32 qlp_coeff[], uint32_t order, int lp_quantization, FLAC__int32 residual[]); FLAC__bool FLAC__lpc_compute_residual_from_qlp_coefficients_limit_residual(const FLAC__int32 *data, uint32_t data_len, const FLAC__int32 qlp_coeff[], uint32_t order, int lp_quantization, FLAC__int32 residual[]); FLAC__bool FLAC__lpc_compute_residual_from_qlp_coefficients_limit_residual_33bit(const FLAC__int64 *data, uint32_t data_len, const FLAC__int32 qlp_coeff[], uint32_t order, int lp_quantization, FLAC__int32 residual[]); #ifndef FLAC__NO_ASM # ifdef FLAC__CPU_ARM64 void FLAC__lpc_compute_residual_from_qlp_coefficients_intrin_neon(const FLAC__int32 *data, uint32_t data_len, const FLAC__int32 qlp_coeff[], uint32_t order, int lp_quantization, FLAC__int32 residual[]); void FLAC__lpc_compute_residual_from_qlp_coefficients_wide_intrin_neon(const FLAC__int32 *data, uint32_t data_len, const FLAC__int32 qlp_coeff[], uint32_t order, int lp_quantization, FLAC__int32 residual[]); # endif # if (defined FLAC__CPU_IA32 || defined FLAC__CPU_X86_64) && FLAC__HAS_X86INTRIN # ifdef FLAC__SSE2_SUPPORTED void FLAC__lpc_compute_residual_from_qlp_coefficients_16_intrin_sse2(const FLAC__int32 *data, uint32_t data_len, const FLAC__int32 qlp_coeff[], uint32_t order, int lp_quantization, FLAC__int32 residual[]); void FLAC__lpc_compute_residual_from_qlp_coefficients_intrin_sse2(const FLAC__int32 *data, uint32_t data_len, const FLAC__int32 qlp_coeff[], uint32_t order, int lp_quantization, FLAC__int32 residual[]); # endif # ifdef FLAC__SSE4_1_SUPPORTED void FLAC__lpc_compute_residual_from_qlp_coefficients_intrin_sse41(const FLAC__int32 *data, uint32_t data_len, const FLAC__int32 qlp_coeff[], uint32_t order, int lp_quantization, FLAC__int32 residual[]); void FLAC__lpc_compute_residual_from_qlp_coefficients_wide_intrin_sse41(const FLAC__int32 *data, uint32_t data_len, const FLAC__int32 qlp_coeff[], uint32_t order, int lp_quantization, FLAC__int32 residual[]); # endif # ifdef FLAC__AVX2_SUPPORTED void FLAC__lpc_compute_residual_from_qlp_coefficients_16_intrin_avx2(const FLAC__int32 *data, uint32_t data_len, const FLAC__int32 qlp_coeff[], uint32_t order, int lp_quantization, FLAC__int32 residual[]); void FLAC__lpc_compute_residual_from_qlp_coefficients_intrin_avx2(const FLAC__int32 *data, uint32_t data_len, const FLAC__int32 qlp_coeff[], uint32_t order, int lp_quantization, FLAC__int32 residual[]); void FLAC__lpc_compute_residual_from_qlp_coefficients_wide_intrin_avx2(const FLAC__int32 *data, uint32_t data_len, const FLAC__int32 qlp_coeff[], uint32_t order, int lp_quantization, FLAC__int32 residual[]); # endif # endif #endif #endif /* !defined FLAC__INTEGER_ONLY_LIBRARY */ uint32_t FLAC__lpc_max_prediction_before_shift_bps(uint32_t subframe_bps, const FLAC__int32 qlp_coeff[], uint32_t order); uint32_t FLAC__lpc_max_residual_bps(uint32_t subframe_bps, const FLAC__int32 qlp_coeff[], uint32_t order, int lp_quantization); /* * FLAC__lpc_restore_signal() * -------------------------------------------------------------------- * Restore the original signal by summing the residual and the * predictor. * * IN residual[0,data_len-1] residual signal * IN data_len length of original signal * IN qlp_coeff[0,order-1] quantized LP coefficients * IN order > 0 LP order * IN lp_quantization quantization of LP coefficients in bits * *** IMPORTANT: the caller must pass in the historical samples: * IN data[-order,-1] previously-reconstructed historical samples * OUT data[0,data_len-1] original signal */ void FLAC__lpc_restore_signal(const FLAC__int32 residual[], uint32_t data_len, const FLAC__int32 qlp_coeff[], uint32_t order, int lp_quantization, FLAC__int32 data[]); void FLAC__lpc_restore_signal_wide(const FLAC__int32 residual[], uint32_t data_len, const FLAC__int32 qlp_coeff[], uint32_t order, int lp_quantization, FLAC__int32 data[]); void FLAC__lpc_restore_signal_wide_33bit(const FLAC__int32 residual[], uint32_t data_len, const FLAC__int32 qlp_coeff[], uint32_t order, int lp_quantization, FLAC__int64 data[]); #ifndef FLAC__INTEGER_ONLY_LIBRARY /* * FLAC__lpc_compute_expected_bits_per_residual_sample() * -------------------------------------------------------------------- * Compute the expected number of bits per residual signal sample * based on the LP error (which is related to the residual variance). * * IN lpc_error >= 0.0 error returned from calculating LP coefficients * IN total_samples > 0 # of samples in residual signal * RETURN expected bits per sample */ double FLAC__lpc_compute_expected_bits_per_residual_sample(double lpc_error, uint32_t total_samples); double FLAC__lpc_compute_expected_bits_per_residual_sample_with_error_scale(double lpc_error, double error_scale); /* * FLAC__lpc_compute_best_order() * -------------------------------------------------------------------- * Compute the best order from the array of signal errors returned * during coefficient computation. * * IN lpc_error[0,max_order-1] >= 0.0 error returned from calculating LP coefficients * IN max_order > 0 max LP order * IN total_samples > 0 # of samples in residual signal * IN overhead_bits_per_order # of bits overhead for each increased LP order * (includes warmup sample size and quantized LP coefficient) * RETURN [1,max_order] best order */ uint32_t FLAC__lpc_compute_best_order(const double lpc_error[], uint32_t max_order, uint32_t total_samples, uint32_t overhead_bits_per_order); #endif /* !defined FLAC__INTEGER_ONLY_LIBRARY */ #endif