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authorjoshua <joshua@joshuayun.com>2023-12-30 23:54:31 -0500
committerjoshua <joshua@joshuayun.com>2023-12-30 23:54:31 -0500
commit86608c6770cf08c138a2bdab5855072f64be09ef (patch)
tree494a61b3ef37e76f9235a0d10f5c93d97290a35f /Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_sin_cos_q31.c
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+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_sin_cos_q31.c
+ * Description: Cosine & Sine calculation for Q31 values
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+ @ingroup groupController
+ */
+
+/**
+ @addtogroup SinCos
+ @{
+ */
+
+/**
+ @brief Q31 sin_cos function.
+ @param[in] theta scaled input value in degrees
+ @param[out] pSinVal points to processed sine output
+ @param[out] pCosVal points to processed cosine output
+ @return none
+
+ The Q31 input value is in the range [-1 0.999999] and is mapped to a degree value in the range [-180 179].
+ */
+
+void arm_sin_cos_q31(
+ q31_t theta,
+ q31_t * pSinVal,
+ q31_t * pCosVal)
+{
+ q31_t fract; /* Temporary input, output variables */
+ uint16_t indexS, indexC; /* Index variable */
+ q31_t f1, f2, d1, d2; /* Two nearest output values */
+ q31_t Dn, Df;
+ q63_t temp;
+
+ /* Calculate the nearest index */
+ indexS = (uint32_t)theta >> CONTROLLER_Q31_SHIFT;
+ indexC = (indexS + 128) & 0x1ff;
+
+ /* Calculation of fractional value */
+ fract = (theta - (indexS << CONTROLLER_Q31_SHIFT)) << 8;
+
+ /* Read two nearest values of input value from the cos & sin tables */
+ f1 = sinTable_q31[indexC ];
+ f2 = sinTable_q31[indexC+1];
+ d1 = -sinTable_q31[indexS ];
+ d2 = -sinTable_q31[indexS+1];
+
+ Dn = 0x1921FB5; /* 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 * ((q63_t)d1 + d2);
+ temp = temp - ((q63_t)Df << 32);
+ temp = (q63_t)fract * (temp >> 31);
+ temp = temp + ((3 * (q63_t)Df << 31) - (d2 + ((q63_t)d1 << 1)) * Dn);
+ temp = (q63_t)fract * (temp >> 31);
+ temp = temp + (q63_t)d1 * Dn;
+ temp = (q63_t)fract * (temp >> 31);
+
+ /* Calculation of cosine value */
+ *pCosVal = clip_q63_to_q31((temp >> 31) + (q63_t)f1);
+
+ /* Read two nearest values of input value from the cos & sin tables */
+ f1 = sinTable_q31[indexS ];
+ f2 = sinTable_q31[indexS+1];
+ d1 = sinTable_q31[indexC ];
+ d2 = sinTable_q31[indexC+1];
+
+ Df = f2 - f1; // delta between the values of the functions
+ temp = Dn * ((q63_t)d1 + d2);
+ temp = temp - ((q63_t)Df << 32);
+ temp = (q63_t)fract * (temp >> 31);
+ temp = temp + ((3 * (q63_t)Df << 31) - (d2 + ((q63_t)d1 << 1)) * Dn);
+ temp = (q63_t)fract * (temp >> 31);
+ temp = temp + (q63_t)d1 * Dn;
+ temp = (q63_t)fract * (temp >> 31);
+
+ /* Calculation of sine value */
+ *pSinVal = clip_q63_to_q31((temp >> 31) + (q63_t)f1);
+}
+
+/**
+ @} end of SinCos group
+ */