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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
+----------------------------------------------------------------------------- */
+
+/******************* Library for basic calculation routines ********************
+
+   Author(s):   Haricharan Lakshman, Manuel Jander
+
+   Description: Trigonometric functions fixed point fractional implementation.
+
+*******************************************************************************/
+
+#if !defined(FDK_TRIGFCTS_H)
+#define FDK_TRIGFCTS_H
+
+#include "common_fix.h"
+
+#include "FDK_tools_rom.h"
+
+/* Fixed point precision definitions */
+#define Q(format) ((FIXP_DBL)(((LONG)1) << (format)))
+
+#ifndef M_PI
+#define M_PI (3.14159265358979323846f)
+#endif
+
+/*!
+ * Inverse tangent function.
+ */
+
+/* --- fixp_atan() ----    */
+#define Q_ATANINP (25)  // Input in q25, Output in q30
+#define Q_ATANOUT (30)
+#define ATI_SF ((DFRACT_BITS - 1) - Q_ATANINP) /* 6  */
+#define ATI_SCALE ((float)(1 << ATI_SF))
+#define ATO_SF ((DFRACT_BITS - 1) - Q_ATANOUT) /* 1   ] -pi/2 .. pi/2 [ */
+#define ATO_SCALE ((float)(1 << ATO_SF))
+/* --- fixp_atan2() ---    */
+#define Q_ATAN2OUT (29)
+#define AT2O_SF ((DFRACT_BITS - 1) - Q_ATAN2OUT) /* 2   ] -pi   .. pi   ] */
+#define AT2O_SCALE ((float)(1 << AT2O_SF))
+// --------------------
+
+FIXP_DBL fixp_atan(FIXP_DBL x);
+FIXP_DBL fixp_atan2(FIXP_DBL y, FIXP_DBL x);
+
+FIXP_DBL fixp_cos(FIXP_DBL x, int scale);
+FIXP_DBL fixp_sin(FIXP_DBL x, int scale);
+
+#define FIXP_COS_SIN
+
+#include "FDK_tools_rom.h"
+
+#define SINETAB SineTable512
+#define LD 9
+
+#ifndef FUNCTION_inline_fixp_cos_sin
+
+#define FUNCTION_inline_fixp_cos_sin
+
+/*
+ * Calculates coarse lookup index and sign for sine.
+ * Returns delta x residual.
+ */
+static inline FIXP_DBL fixp_sin_cos_residual_inline(FIXP_DBL x, int scale,
+                                                    FIXP_DBL *sine,
+                                                    FIXP_DBL *cosine) {
+  FIXP_DBL residual;
+  int s;
+  int shift = (31 - scale - LD - 1);
+  int ssign = 1;
+  int csign = 1;
+
+  residual = fMult(x, FL2FXCONST_DBL(1.0 / M_PI));
+  s = ((LONG)residual) >> shift;
+
+  residual &= ((1 << shift) - 1);
+  residual = fMult(residual, FL2FXCONST_DBL(M_PI / 4.0)) << 2;
+  residual <<= scale;
+
+  /* Sine sign symmetry */
+  if (s & ((1 << LD) << 1)) {
+    ssign = -ssign;
+  }
+  /* Cosine sign symmetry */
+  if ((s + (1 << LD)) & ((1 << LD) << 1)) {
+    csign = -csign;
+  }
+
+  s = fAbs(s);
+
+  s &= (((1 << LD) << 1) - 1); /* Modulo PI */
+
+  if (s > (1 << LD)) {
+    s = ((1 << LD) << 1) - s;
+  }
+
+  {
+    LONG sl, cl;
+    /* Because of packed table */
+    if (s > (1 << (LD - 1))) {
+      FIXP_STP tmp;
+      /* Cosine/Sine simetry for angles greater than PI/4 */
+      s = (1 << LD) - s;
+      tmp = SINETAB[s];
+      sl = (LONG)tmp.v.re;
+      cl = (LONG)tmp.v.im;
+    } else {
+      FIXP_STP tmp;
+      tmp = SINETAB[s];
+      sl = (LONG)tmp.v.im;
+      cl = (LONG)tmp.v.re;
+    }
+
+#ifdef SINETABLE_16BIT
+    *sine = (FIXP_DBL)((sl * ssign) << (DFRACT_BITS - FRACT_BITS));
+    *cosine = (FIXP_DBL)((cl * csign) << (DFRACT_BITS - FRACT_BITS));
+#else
+    /* scale down by 1 for overflow prevention. This is undone at the calling
+     * function. */
+    *sine = (FIXP_DBL)(sl * ssign) >> 1;
+    *cosine = (FIXP_DBL)(cl * csign) >> 1;
+#endif
+  }
+
+  return residual;
+}
+
+/**
+ * \brief Calculate cosine and sine value each of 2 angles different angle
+ * values.
+ * \param x1 first angle value
+ * \param x2 second angle value
+ * \param scale exponent of x1 and x2
+ * \param out pointer to 4 FIXP_DBL locations, were the values cos(x1), sin(x1),
+ * cos(x2), sin(x2) will be stored into.
+ */
+static inline void inline_fixp_cos_sin(FIXP_DBL x1, FIXP_DBL x2,
+                                       const int scale, FIXP_DBL *out) {
+  FIXP_DBL residual, error0, error1, sine, cosine;
+  residual = fixp_sin_cos_residual_inline(x1, scale, &sine, &cosine);
+  error0 = fMultDiv2(sine, residual);
+  error1 = fMultDiv2(cosine, residual);
+
+#ifdef SINETABLE_16BIT
+  *out++ = cosine - (error0 << 1);
+  *out++ = sine + (error1 << 1);
+#else
+  /* Undo downscaling by 1 which was done at fixp_sin_cos_residual_inline */
+  *out++ = SATURATE_LEFT_SHIFT(cosine - (error0 << 1), 1, DFRACT_BITS);
+  *out++ = SATURATE_LEFT_SHIFT(sine + (error1 << 1), 1, DFRACT_BITS);
+#endif
+
+  residual = fixp_sin_cos_residual_inline(x2, scale, &sine, &cosine);
+  error0 = fMultDiv2(sine, residual);
+  error1 = fMultDiv2(cosine, residual);
+
+#ifdef SINETABLE_16BIT
+  *out++ = cosine - (error0 << 1);
+  *out++ = sine + (error1 << 1);
+#else
+  *out++ = SATURATE_LEFT_SHIFT(cosine - (error0 << 1), 1, DFRACT_BITS);
+  *out++ = SATURATE_LEFT_SHIFT(sine + (error1 << 1), 1, DFRACT_BITS);
+#endif
+}
+#endif
+
+#endif /* !defined(FDK_TRIGFCTS_H) */