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+/* -----------------------------------------------------------------------------
+Software License for The Fraunhofer FDK AAC Codec Library for Android
+
+© Copyright  1995 - 2018 Fraunhofer-Gesellschaft zur Förderung der angewandten
+Forschung e.V. All rights reserved.
+
+ 1.    INTRODUCTION
+The Fraunhofer FDK AAC Codec Library for Android ("FDK AAC Codec") is software
+that implements the MPEG Advanced Audio Coding ("AAC") encoding and decoding
+scheme for digital audio. This FDK AAC Codec software is intended to be used on
+a wide variety of Android devices.
+
+AAC's HE-AAC and HE-AAC v2 versions are regarded as today's most efficient
+general perceptual audio codecs. AAC-ELD is considered the best-performing
+full-bandwidth communications codec by independent studies and is widely
+deployed. AAC has been standardized by ISO and IEC as part of the MPEG
+specifications.
+
+Patent licenses for necessary patent claims for the FDK AAC Codec (including
+those of Fraunhofer) may be obtained through Via Licensing
+(www.vialicensing.com) or through the respective patent owners individually for
+the purpose of encoding or decoding bit streams in products that are compliant
+with the ISO/IEC MPEG audio standards. Please note that most manufacturers of
+Android devices already license these patent claims through Via Licensing or
+directly from the patent owners, and therefore FDK AAC Codec software may
+already be covered under those patent licenses when it is used for those
+licensed purposes only.
+
+Commercially-licensed AAC software libraries, including floating-point versions
+with enhanced sound quality, are also available from Fraunhofer. Users are
+encouraged to check the Fraunhofer website for additional applications
+information and documentation.
+
+2.    COPYRIGHT LICENSE
+
+Redistribution and use in source and binary forms, with or without modification,
+are permitted without payment of copyright license fees provided that you
+satisfy the following conditions:
+
+You must retain the complete text of this software license in redistributions of
+the FDK AAC Codec or your modifications thereto in source code form.
+
+You must retain the complete text of this software license in the documentation
+and/or other materials provided with redistributions of the FDK AAC Codec or
+your modifications thereto in binary form. You must make available free of
+charge copies of the complete source code of the FDK AAC Codec and your
+modifications thereto to recipients of copies in binary form.
+
+The name of Fraunhofer may not be used to endorse or promote products derived
+from this library without prior written permission.
+
+You may not charge copyright license fees for anyone to use, copy or distribute
+the FDK AAC Codec software or your modifications thereto.
+
+Your modified versions of the FDK AAC Codec must carry prominent notices stating
+that you changed the software and the date of any change. For modified versions
+of the FDK AAC Codec, the term "Fraunhofer FDK AAC Codec Library for Android"
+must be replaced by the term "Third-Party Modified Version of the Fraunhofer FDK
+AAC Codec Library for Android."
+
+3.    NO PATENT LICENSE
+
+NO EXPRESS OR IMPLIED LICENSES TO ANY PATENT CLAIMS, including without
+limitation the patents of Fraunhofer, ARE GRANTED BY THIS SOFTWARE LICENSE.
+Fraunhofer provides no warranty of patent non-infringement with respect to this
+software.
+
+You may use this FDK AAC Codec software or modifications thereto only for
+purposes that are authorized by appropriate patent licenses.
+
+4.    DISCLAIMER
+
+This FDK AAC Codec software is provided by Fraunhofer on behalf of the copyright
+holders and contributors "AS IS" and WITHOUT ANY EXPRESS OR IMPLIED WARRANTIES,
+including but not limited to the implied warranties of merchantability and
+fitness for a particular purpose. IN NO EVENT SHALL THE COPYRIGHT HOLDER 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), arising in any way out of the use of
+this software, even if advised of the possibility of such damage.
+
+5.    CONTACT INFORMATION
+
+Fraunhofer Institute for Integrated Circuits IIS
+Attention: Audio and Multimedia Departments - FDK AAC LL
+Am Wolfsmantel 33
+91058 Erlangen, Germany
+
+www.iis.fraunhofer.de/amm
+amm-info@iis.fraunhofer.de
+----------------------------------------------------------------------------- */
+
+/*********************** MPEG surround decoder library *************************
+
+   Author(s):   Matthias Hildenbrand
+
+   Description: USAC MPS212 Transient Steering Decorrelator (TSD)
+
+*******************************************************************************/
+
+#include "sac_tsd.h"
+
+#define TSD_START_BAND (7)
+#define SIZE_S (4)
+#define SIZE_C (5)
+
+/*** Tables ***/
+RAM_ALIGN
+LNK_SECTION_CONSTDATA
+static const UCHAR nBitsTsdCW_32slots[32] = {
+    5,  9,  13, 16, 18, 20, 22, 24, 25, 26, 27, 28, 29, 29, 30, 30,
+    30, 29, 29, 28, 27, 26, 25, 24, 22, 20, 18, 16, 13, 9,  5,  0};
+
+RAM_ALIGN
+LNK_SECTION_CONSTDATA
+static const UCHAR nBitsTsdCW_64slots[64] = {
+    6,  11, 16, 20, 23, 27, 30, 33, 35, 38, 40, 42, 44, 46, 48, 49,
+    51, 52, 53, 55, 56, 57, 58, 58, 59, 60, 60, 60, 61, 61, 61, 61,
+    61, 61, 61, 60, 60, 60, 59, 58, 58, 57, 56, 55, 53, 52, 51, 49,
+    48, 46, 44, 42, 40, 38, 35, 33, 30, 27, 23, 20, 16, 11, 6,  0};
+
+RAM_ALIGN
+LNK_SECTION_CONSTDATA
+static const FIXP_STP phiTsd[8] = {
+    STCP(0x7fffffff, 0x00000000), STCP(0x5a82799a, 0x5a82799a),
+    STCP(0x00000000, 0x7fffffff), STCP(0xa57d8666, 0x5a82799a),
+    STCP(0x80000000, 0x00000000), STCP(0xa57d8666, 0xa57d8666),
+    STCP(0x00000000, 0x80000000), STCP(0x5a82799a, 0xa57d8666),
+};
+
+/*** Static Functions ***/
+static void longmult1(USHORT a[], USHORT b, USHORT d[], int len) {
+  int k;
+  ULONG tmp;
+  ULONG b0 = (ULONG)b;
+
+  tmp = ((ULONG)a[0]) * b0;
+  d[0] = (USHORT)tmp;
+
+  for (k = 1; k < len; k++) {
+    tmp = (tmp >> 16) + ((ULONG)a[k]) * b0;
+    d[k] = (USHORT)tmp;
+  }
+}
+
+static void longdiv(USHORT b[], USHORT a, USHORT d[], USHORT *pr, int len) {
+  ULONG r;
+  ULONG tmp;
+  int k;
+
+  FDK_ASSERT(a != 0);
+
+  r = 0;
+
+  for (k = len - 1; k >= 0; k--) {
+    tmp = ((ULONG)b[k]) + (r << 16);
+
+    if (tmp) {
+      d[k] = (USHORT)(tmp / a);
+      r = tmp - d[k] * a;
+    } else {
+      d[k] = 0;
+    }
+  }
+  *pr = (USHORT)r;
+}
+
+static void longsub(USHORT a[], USHORT b[], int lena, int lenb) {
+  int h;
+  LONG carry = 0;
+
+  FDK_ASSERT(lena >= lenb);
+  for (h = 0; h < lenb; h++) {
+    carry += ((LONG)a[h]) - ((LONG)b[h]);
+    a[h] = (USHORT)carry;
+    carry = carry >> 16;
+  }
+
+  for (; h < lena; h++) {
+    carry = ((LONG)a[h]) + carry;
+    a[h] = (USHORT)carry;
+    carry = carry >> 16;
+  }
+
+  FDK_ASSERT(carry ==
+             0); /* carry != 0 indicates subtraction underflow, e.g. b > a */
+  return;
+}
+
+static int longcompare(USHORT a[], USHORT b[], int len) {
+  int i;
+
+  for (i = len - 1; i > 0; i--) {
+    if (a[i] != b[i]) break;
+  }
+  return (a[i] >= b[i]) ? 1 : 0;
+}
+
+FDK_INLINE int isTrSlot(const TSD_DATA *pTsdData, const int ts) {
+  return (pTsdData->bsTsdTrPhaseData[ts] >= 0);
+}
+
+/*** Public Functions ***/
+int TsdRead(HANDLE_FDK_BITSTREAM hBs, const int numSlots, TSD_DATA *pTsdData) {
+  int nBitsTrSlots = 0;
+  int bsTsdNumTrSlots;
+  const UCHAR *nBitsTsdCW_tab = NULL;
+
+  switch (numSlots) {
+    case 32:
+      nBitsTrSlots = 4;
+      nBitsTsdCW_tab = nBitsTsdCW_32slots;
+      break;
+    case 64:
+      nBitsTrSlots = 5;
+      nBitsTsdCW_tab = nBitsTsdCW_64slots;
+      break;
+    default:
+      return 1;
+  }
+
+  /*** Read TempShapeData for bsTempShapeConfig == 3 ***/
+  pTsdData->bsTsdEnable = FDKreadBit(hBs);
+  if (!pTsdData->bsTsdEnable) {
+    return 0;
+  }
+
+  /*** Parse/Decode TsdData() ***/
+  pTsdData->numSlots = numSlots;
+
+  bsTsdNumTrSlots = FDKreadBits(hBs, nBitsTrSlots);
+
+  /* Decode transient slot positions */
+  {
+    int nBitsTsdCW = (int)nBitsTsdCW_tab[bsTsdNumTrSlots];
+    SCHAR *phaseData = pTsdData->bsTsdTrPhaseData;
+    int p = bsTsdNumTrSlots + 1;
+    int k, h;
+    USHORT s[SIZE_S] = {0};
+    USHORT c[SIZE_C] = {0};
+    USHORT r[1];
+
+    /* Init with TsdSepData[k] = 0 */
+    for (k = 0; k < numSlots; k++) {
+      phaseData[k] = -1; /* means TsdSepData[] = 0 */
+    }
+
+    for (h = (SIZE_S - 1); h >= 0; h--) {
+      if (nBitsTsdCW > h * 16) {
+        s[h] = (USHORT)FDKreadBits(hBs, nBitsTsdCW - h * 16);
+        nBitsTsdCW = h * 16;
+      }
+    }
+
+    /* c = prod_{h=1}^{p} (k-p+h)/h */
+    k = numSlots - 1;
+    c[0] = k - p + 1;
+    for (h = 2; h <= p; h++) {
+      longmult1(c, (k - p + h), c, 5); /* c *= k - p + h; */
+      longdiv(c, h, c, r, 5);          /* c /= h; */
+      FDK_ASSERT(*r == 0);
+    }
+
+    /* go through all slots */
+    for (; k >= 0; k--) {
+      if (p > k) {
+        for (; k >= 0; k--) {
+          phaseData[k] = 1; /* means TsdSepData[] = 1 */
+        }
+        break;
+      }
+      if (longcompare(s, c, 4)) { /* (s >= c) */
+        longsub(s, c, 4, 4);      /* s -= c; */
+        phaseData[k] = 1;         /* means TsdSepData[] = 1 */
+        if (p == 1) {
+          break;
+        }
+        /* Update c for next iteration: c_new = c_old * p / k */
+        longmult1(c, p, c, 5);
+        p--;
+      } else {
+        /* Update c for next iteration: c_new = c_old * (k-p) / k */
+        longmult1(c, (k - p), c, 5);
+      }
+      longdiv(c, k, c, r, 5);
+      FDK_ASSERT(*r == 0);
+    }
+
+    /* Read phase data */
+    for (k = 0; k < numSlots; k++) {
+      if (phaseData[k] == 1) {
+        phaseData[k] = FDKreadBits(hBs, 3);
+      }
+    }
+  }
+
+  return 0;
+}
+
+void TsdGenerateNonTr(const int numHybridBands, const TSD_DATA *pTsdData,
+                      const int ts, FIXP_DBL *pVdirectReal,
+                      FIXP_DBL *pVdirectImag, FIXP_DBL *pVnonTrReal,
+                      FIXP_DBL *pVnonTrImag, FIXP_DBL **ppDecorrInReal,
+                      FIXP_DBL **ppDecorrInImag) {
+  int k = 0;
+
+  if (!isTrSlot(pTsdData, ts)) {
+    /* Let allpass based decorrelator read from direct input. */
+    *ppDecorrInReal = pVdirectReal;
+    *ppDecorrInImag = pVdirectImag;
+    return;
+  }
+
+  /* Generate nonTr input signal for allpass based decorrelator */
+  for (; k < TSD_START_BAND; k++) {
+    pVnonTrReal[k] = pVdirectReal[k];
+    pVnonTrImag[k] = pVdirectImag[k];
+  }
+  for (; k < numHybridBands; k++) {
+    pVnonTrReal[k] = (FIXP_DBL)0;
+    pVnonTrImag[k] = (FIXP_DBL)0;
+  }
+  *ppDecorrInReal = pVnonTrReal;
+  *ppDecorrInImag = pVnonTrImag;
+}
+
+void TsdApply(const int numHybridBands, const TSD_DATA *pTsdData, int *pTsdTs,
+              const FIXP_DBL *pVdirectReal, const FIXP_DBL *pVdirectImag,
+              FIXP_DBL *pDnonTrReal, FIXP_DBL *pDnonTrImag) {
+  const int ts = *pTsdTs;
+
+  if (isTrSlot(pTsdData, ts)) {
+    int k;
+    const FIXP_STP *phi = &phiTsd[pTsdData->bsTsdTrPhaseData[ts]];
+    FDK_ASSERT((pTsdData->bsTsdTrPhaseData[ts] >= 0) &&
+               (pTsdData->bsTsdTrPhaseData[ts] < 8));
+
+    /* d = d_nonTr + v_direct * exp(j * bsTsdTrPhaseData[ts]/4 * pi ) */
+    for (k = TSD_START_BAND; k < numHybridBands; k++) {
+      FIXP_DBL tempReal, tempImag;
+      cplxMult(&tempReal, &tempImag, pVdirectReal[k], pVdirectImag[k], *phi);
+      pDnonTrReal[k] += tempReal;
+      pDnonTrImag[k] += tempImag;
+    }
+  }
+
+  /* The modulo MAX_TSD_TIME_SLOTS operation is to avoid illegal memory accesses
+   * in case of errors. */
+  *pTsdTs = (ts + 1) & (MAX_TSD_TIME_SLOTS - 1);
+  return;
+}