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+/* 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 <config.h>
+#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