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+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
+*
+* $Date: 12. March 2014
+* $Revision: V1.4.4
+*
+* Project: CMSIS DSP Library
+* Title: arm_sin_cos_f32.c
+*
+* Description: Sine and Cosine calculation for floating-point values.
+*
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*
+* 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 ARM LIMITED 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
+* COPYRIGHT OWNER 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.
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+ * @ingroup groupController
+ */
+
+/**
+ * @defgroup SinCos Sine Cosine
+ *
+ * Computes the trigonometric sine and cosine values using a combination of table lookup
+ * and linear interpolation.
+ * There are separate functions for Q31 and floating-point data types.
+ * The input to the floating-point version is in degrees while the
+ * fixed-point Q31 have a scaled input with the range
+ * [-1 0.9999] mapping to [-180 +180] degrees.
+ *
+ * The floating point function also allows values that are out of the usual range. When this happens, the function will
+ * take extra time to adjust the input value to the range of [-180 180].
+ *
+ * The implementation is based on table lookup using 360 values together with linear interpolation.
+ * The steps used are:
+ * -# Calculation of the nearest integer table index.
+ * -# Compute the fractional portion (fract) of the input.
+ * -# Fetch the value corresponding to \c index from sine table to \c y0 and also value from \c index+1 to \c y1.
+ * -# Sine value is computed as <code> *psinVal = y0 + (fract * (y1 - y0))</code>.
+ * -# Fetch the value corresponding to \c index from cosine table to \c y0 and also value from \c index+1 to \c y1.
+ * -# Cosine value is computed as <code> *pcosVal = y0 + (fract * (y1 - y0))</code>.
+ */
+
+ /**
+ * @addtogroup SinCos
+ * @{
+ */
+
+/**
+ * @brief Floating-point sin_cos function.
+ * @param[in] theta input value in degrees
+ * @param[out] *pSinVal points to the processed sine output.
+ * @param[out] *pCosVal points to the processed cos output.
+ * @return none.
+ */
+
+void arm_sin_cos_f32(
+ float32_t theta,
+ float32_t * pSinVal,
+ float32_t * pCosVal)
+{
+ float32_t fract, in; /* Temporary variables for input, output */
+ uint16_t indexS, indexC; /* Index variable */
+ float32_t f1, f2, d1, d2; /* Two nearest output values */
+ int32_t n;
+ float32_t findex, Dn, Df, temp;
+
+ /* input x is in degrees */
+ /* Scale the input, divide input by 360, for cosine add 0.25 (pi/2) to read sine table */
+ in = theta * 0.00277777777778f;
+
+ /* Calculation of floor value of input */
+ n = (int32_t) in;
+
+ /* Make negative values towards -infinity */
+ if(in < 0.0f)
+ {
+ n--;
+ }
+ /* Map input value to [0 1] */
+ in = in - (float32_t) n;
+
+ /* Calculation of index of the table */
+ findex = (float32_t) FAST_MATH_TABLE_SIZE * in;
+ indexS = ((uint16_t)findex) & 0x1ff;
+ indexC = (indexS + (FAST_MATH_TABLE_SIZE / 4)) & 0x1ff;
+
+ /* fractional value calculation */
+ fract = findex - (float32_t) indexS;
+
+ /* Read two nearest values of input value from the cos & sin tables */
+ f1 = sinTable_f32[indexC+0];
+ f2 = sinTable_f32[indexC+1];
+ d1 = -sinTable_f32[indexS+0];
+ d2 = -sinTable_f32[indexS+1];
+
+ Dn = 0.0122718463030f; // delta between the two points (fixed), in this case 2*pi/FAST_MATH_TABLE_SIZE
+ Df = f2 - f1; // delta between the values of the functions
+ temp = Dn*(d1 + d2) - 2*Df;
+ temp = fract*temp + (3*Df - (d2 + 2*d1)*Dn);
+ temp = fract*temp + d1*Dn;
+
+ /* Calculation of cosine value */
+ *pCosVal = fract*temp + f1;
+
+ /* Read two nearest values of input value from the cos & sin tables */
+ f1 = sinTable_f32[indexS+0];
+ f2 = sinTable_f32[indexS+1];
+ d1 = sinTable_f32[indexC+0];
+ d2 = sinTable_f32[indexC+1];
+
+ Df = f2 - f1; // delta between the values of the functions
+ temp = Dn*(d1 + d2) - 2*Df;
+ temp = fract*temp + (3*Df - (d2 + 2*d1)*Dn);
+ temp = fract*temp + d1*Dn;
+
+ /* Calculation of sine value */
+ *pSinVal = fract*temp + f1;
+}
+/**
+ * @} end of SinCos group
+ */