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Diffstat (limited to 'tmk_core/tool/mbed/mbed-sdk/libraries/dsp/cmsis_dsp/ControllerFunctions/arm_sin_cos_q31.c')
| -rw-r--r-- | tmk_core/tool/mbed/mbed-sdk/libraries/dsp/cmsis_dsp/ControllerFunctions/arm_sin_cos_q31.c | 328 |
1 files changed, 328 insertions, 0 deletions
diff --git a/tmk_core/tool/mbed/mbed-sdk/libraries/dsp/cmsis_dsp/ControllerFunctions/arm_sin_cos_q31.c b/tmk_core/tool/mbed/mbed-sdk/libraries/dsp/cmsis_dsp/ControllerFunctions/arm_sin_cos_q31.c new file mode 100644 index 0000000000..370b7b6ef1 --- /dev/null +++ b/tmk_core/tool/mbed/mbed-sdk/libraries/dsp/cmsis_dsp/ControllerFunctions/arm_sin_cos_q31.c @@ -0,0 +1,328 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2013 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.1 +* +* Project: CMSIS DSP Library +* Title: arm_sin_cos_q31.c +* +* Description: Cosine & Sine calculation for Q31 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" + +/** + * @ingroup groupController + */ + + /** + * @addtogroup SinCos + * @{ + */ + +/** +* \par +* Sine Table is generated from following loop +* <pre>for(i = 0; i < 360; i++) +* { +* sinTable[i]= sin((i-180) * PI/180.0); +* } </pre> +* Convert above coefficients to fixed point 1.31 format. +*/ + +static const int32_t sinTableQ31[360] = { + + 0x0, 0xfdc41e9b, 0xfb8869ce, 0xf94d0e2e, 0xf7123849, 0xf4d814a4, 0xf29ecfb2, + 0xf06695da, + 0xee2f9369, 0xebf9f498, 0xe9c5e582, 0xe7939223, 0xe5632654, 0xe334cdc9, + 0xe108b40d, 0xdedf047d, + 0xdcb7ea46, 0xda939061, 0xd8722192, 0xd653c860, 0xd438af17, 0xd220ffc0, + 0xd00ce422, 0xcdfc85bb, + 0xcbf00dbe, 0xc9e7a512, 0xc7e3744b, 0xc5e3a3a9, 0xc3e85b18, 0xc1f1c224, + 0xc0000000, 0xbe133b7c, + 0xbc2b9b05, 0xba4944a2, 0xb86c5df0, 0xb6950c1e, 0xb4c373ee, 0xb2f7b9af, + 0xb1320139, 0xaf726def, + 0xadb922b7, 0xac0641fb, 0xaa59eda4, 0xa8b4471a, 0xa7156f3c, 0xa57d8666, + 0xa3ecac65, 0xa263007d, + 0xa0e0a15f, 0x9f65ad2d, 0x9df24175, 0x9c867b2c, 0x9b2276b0, 0x99c64fc5, + 0x98722192, 0x9726069c, + 0x95e218c9, 0x94a6715d, 0x937328f5, 0x92485786, 0x9126145f, 0x900c7621, + 0x8efb92c2, 0x8df37f8b, + 0x8cf45113, 0x8bfe1b3f, 0x8b10f144, 0x8a2ce59f, 0x89520a1a, 0x88806fc4, + 0x87b826f7, 0x86f93f50, + 0x8643c7b3, 0x8597ce46, 0x84f56073, 0x845c8ae3, 0x83cd5982, 0x8347d77b, + 0x82cc0f36, 0x825a0a5b, + 0x81f1d1ce, 0x81936daf, 0x813ee55b, 0x80f43f69, 0x80b381ac, 0x807cb130, + 0x804fd23a, 0x802ce84c, + 0x8013f61d, 0x8004fda0, 0x80000000, 0x8004fda0, 0x8013f61d, 0x802ce84c, + 0x804fd23a, 0x807cb130, + 0x80b381ac, 0x80f43f69, 0x813ee55b, 0x81936daf, 0x81f1d1ce, 0x825a0a5b, + 0x82cc0f36, 0x8347d77b, + 0x83cd5982, 0x845c8ae3, 0x84f56073, 0x8597ce46, 0x8643c7b3, 0x86f93f50, + 0x87b826f7, 0x88806fc4, + 0x89520a1a, 0x8a2ce59f, 0x8b10f144, 0x8bfe1b3f, 0x8cf45113, 0x8df37f8b, + 0x8efb92c2, 0x900c7621, + 0x9126145f, 0x92485786, 0x937328f5, 0x94a6715d, 0x95e218c9, 0x9726069c, + 0x98722192, 0x99c64fc5, + 0x9b2276b0, 0x9c867b2c, 0x9df24175, 0x9f65ad2d, 0xa0e0a15f, 0xa263007d, + 0xa3ecac65, 0xa57d8666, + 0xa7156f3c, 0xa8b4471a, 0xaa59eda4, 0xac0641fb, 0xadb922b7, 0xaf726def, + 0xb1320139, 0xb2f7b9af, + 0xb4c373ee, 0xb6950c1e, 0xb86c5df0, 0xba4944a2, 0xbc2b9b05, 0xbe133b7c, + 0xc0000000, 0xc1f1c224, + 0xc3e85b18, 0xc5e3a3a9, 0xc7e3744b, 0xc9e7a512, 0xcbf00dbe, 0xcdfc85bb, + 0xd00ce422, 0xd220ffc0, + 0xd438af17, 0xd653c860, 0xd8722192, 0xda939061, 0xdcb7ea46, 0xdedf047d, + 0xe108b40d, 0xe334cdc9, + 0xe5632654, 0xe7939223, 0xe9c5e582, 0xebf9f498, 0xee2f9369, 0xf06695da, + 0xf29ecfb2, 0xf4d814a4, + 0xf7123849, 0xf94d0e2e, 0xfb8869ce, 0xfdc41e9b, 0x0, 0x23be165, 0x4779632, + 0x6b2f1d2, + 0x8edc7b7, 0xb27eb5c, 0xd61304e, 0xf996a26, 0x11d06c97, 0x14060b68, + 0x163a1a7e, 0x186c6ddd, + 0x1a9cd9ac, 0x1ccb3237, 0x1ef74bf3, 0x2120fb83, 0x234815ba, 0x256c6f9f, + 0x278dde6e, 0x29ac37a0, + 0x2bc750e9, 0x2ddf0040, 0x2ff31bde, 0x32037a45, 0x340ff242, 0x36185aee, + 0x381c8bb5, 0x3a1c5c57, + 0x3c17a4e8, 0x3e0e3ddc, 0x40000000, 0x41ecc484, 0x43d464fb, 0x45b6bb5e, + 0x4793a210, 0x496af3e2, + 0x4b3c8c12, 0x4d084651, 0x4ecdfec7, 0x508d9211, 0x5246dd49, 0x53f9be05, + 0x55a6125c, 0x574bb8e6, + 0x58ea90c4, 0x5a82799a, 0x5c13539b, 0x5d9cff83, 0x5f1f5ea1, 0x609a52d3, + 0x620dbe8b, 0x637984d4, + 0x64dd8950, 0x6639b03b, 0x678dde6e, 0x68d9f964, 0x6a1de737, 0x6b598ea3, + 0x6c8cd70b, 0x6db7a87a, + 0x6ed9eba1, 0x6ff389df, 0x71046d3e, 0x720c8075, 0x730baeed, 0x7401e4c1, + 0x74ef0ebc, 0x75d31a61, + 0x76adf5e6, 0x777f903c, 0x7847d909, 0x7906c0b0, 0x79bc384d, 0x7a6831ba, + 0x7b0a9f8d, 0x7ba3751d, + 0x7c32a67e, 0x7cb82885, 0x7d33f0ca, 0x7da5f5a5, 0x7e0e2e32, 0x7e6c9251, + 0x7ec11aa5, 0x7f0bc097, + 0x7f4c7e54, 0x7f834ed0, 0x7fb02dc6, 0x7fd317b4, 0x7fec09e3, 0x7ffb0260, + 0x7fffffff, 0x7ffb0260, + 0x7fec09e3, 0x7fd317b4, 0x7fb02dc6, 0x7f834ed0, 0x7f4c7e54, 0x7f0bc097, + 0x7ec11aa5, 0x7e6c9251, + 0x7e0e2e32, 0x7da5f5a5, 0x7d33f0ca, 0x7cb82885, 0x7c32a67e, 0x7ba3751d, + 0x7b0a9f8d, 0x7a6831ba, + 0x79bc384d, 0x7906c0b0, 0x7847d909, 0x777f903c, 0x76adf5e6, 0x75d31a61, + 0x74ef0ebc, 0x7401e4c1, + 0x730baeed, 0x720c8075, 0x71046d3e, 0x6ff389df, 0x6ed9eba1, 0x6db7a87a, + 0x6c8cd70b, 0x6b598ea3, + 0x6a1de737, 0x68d9f964, 0x678dde6e, 0x6639b03b, 0x64dd8950, 0x637984d4, + 0x620dbe8b, 0x609a52d3, + 0x5f1f5ea1, 0x5d9cff83, 0x5c13539b, 0x5a82799a, 0x58ea90c4, 0x574bb8e6, + 0x55a6125c, 0x53f9be05, + 0x5246dd49, 0x508d9211, 0x4ecdfec7, 0x4d084651, 0x4b3c8c12, 0x496af3e2, + 0x4793a210, 0x45b6bb5e, + 0x43d464fb, 0x41ecc484, 0x40000000, 0x3e0e3ddc, 0x3c17a4e8, 0x3a1c5c57, + 0x381c8bb5, 0x36185aee, + 0x340ff242, 0x32037a45, 0x2ff31bde, 0x2ddf0040, 0x2bc750e9, 0x29ac37a0, + 0x278dde6e, 0x256c6f9f, + 0x234815ba, 0x2120fb83, 0x1ef74bf3, 0x1ccb3237, 0x1a9cd9ac, 0x186c6ddd, + 0x163a1a7e, 0x14060b68, + 0x11d06c97, 0xf996a26, 0xd61304e, 0xb27eb5c, 0x8edc7b7, 0x6b2f1d2, + 0x4779632, 0x23be165, + + +}; + +/** +* \par +* Cosine Table is generated from following loop +* <pre>for(i = 0; i < 360; i++) +* { +* cosTable[i]= cos((i-180) * PI/180.0); +* } </pre> +* \par +* Convert above coefficients to fixed point 1.31 format. +*/ +static const int32_t cosTableQ31[360] = { + 0x80000000, 0x8004fda0, 0x8013f61d, 0x802ce84c, 0x804fd23a, 0x807cb130, + 0x80b381ac, 0x80f43f69, + 0x813ee55b, 0x81936daf, 0x81f1d1ce, 0x825a0a5b, 0x82cc0f36, 0x8347d77b, + 0x83cd5982, 0x845c8ae3, + 0x84f56073, 0x8597ce46, 0x8643c7b3, 0x86f93f50, 0x87b826f7, 0x88806fc4, + 0x89520a1a, 0x8a2ce59f, + 0x8b10f144, 0x8bfe1b3f, 0x8cf45113, 0x8df37f8b, 0x8efb92c2, 0x900c7621, + 0x9126145f, 0x92485786, + 0x937328f5, 0x94a6715d, 0x95e218c9, 0x9726069c, 0x98722192, 0x99c64fc5, + 0x9b2276b0, 0x9c867b2c, + 0x9df24175, 0x9f65ad2d, 0xa0e0a15f, 0xa263007d, 0xa3ecac65, 0xa57d8666, + 0xa7156f3c, 0xa8b4471a, + 0xaa59eda4, 0xac0641fb, 0xadb922b7, 0xaf726def, 0xb1320139, 0xb2f7b9af, + 0xb4c373ee, 0xb6950c1e, + 0xb86c5df0, 0xba4944a2, 0xbc2b9b05, 0xbe133b7c, 0xc0000000, 0xc1f1c224, + 0xc3e85b18, 0xc5e3a3a9, + 0xc7e3744b, 0xc9e7a512, 0xcbf00dbe, 0xcdfc85bb, 0xd00ce422, 0xd220ffc0, + 0xd438af17, 0xd653c860, + 0xd8722192, 0xda939061, 0xdcb7ea46, 0xdedf047d, 0xe108b40d, 0xe334cdc9, + 0xe5632654, 0xe7939223, + 0xe9c5e582, 0xebf9f498, 0xee2f9369, 0xf06695da, 0xf29ecfb2, 0xf4d814a4, + 0xf7123849, 0xf94d0e2e, + 0xfb8869ce, 0xfdc41e9b, 0x0, 0x23be165, 0x4779632, 0x6b2f1d2, 0x8edc7b7, + 0xb27eb5c, + 0xd61304e, 0xf996a26, 0x11d06c97, 0x14060b68, 0x163a1a7e, 0x186c6ddd, + 0x1a9cd9ac, 0x1ccb3237, + 0x1ef74bf3, 0x2120fb83, 0x234815ba, 0x256c6f9f, 0x278dde6e, 0x29ac37a0, + 0x2bc750e9, 0x2ddf0040, + 0x2ff31bde, 0x32037a45, 0x340ff242, 0x36185aee, 0x381c8bb5, 0x3a1c5c57, + 0x3c17a4e8, 0x3e0e3ddc, + 0x40000000, 0x41ecc484, 0x43d464fb, 0x45b6bb5e, 0x4793a210, 0x496af3e2, + 0x4b3c8c12, 0x4d084651, + 0x4ecdfec7, 0x508d9211, 0x5246dd49, 0x53f9be05, 0x55a6125c, 0x574bb8e6, + 0x58ea90c4, 0x5a82799a, + 0x5c13539b, 0x5d9cff83, 0x5f1f5ea1, 0x609a52d3, 0x620dbe8b, 0x637984d4, + 0x64dd8950, 0x6639b03b, + 0x678dde6e, 0x68d9f964, 0x6a1de737, 0x6b598ea3, 0x6c8cd70b, 0x6db7a87a, + 0x6ed9eba1, 0x6ff389df, + 0x71046d3e, 0x720c8075, 0x730baeed, 0x7401e4c1, 0x74ef0ebc, 0x75d31a61, + 0x76adf5e6, 0x777f903c, + 0x7847d909, 0x7906c0b0, 0x79bc384d, 0x7a6831ba, 0x7b0a9f8d, 0x7ba3751d, + 0x7c32a67e, 0x7cb82885, + 0x7d33f0ca, 0x7da5f5a5, 0x7e0e2e32, 0x7e6c9251, 0x7ec11aa5, 0x7f0bc097, + 0x7f4c7e54, 0x7f834ed0, + 0x7fb02dc6, 0x7fd317b4, 0x7fec09e3, 0x7ffb0260, 0x7fffffff, 0x7ffb0260, + 0x7fec09e3, 0x7fd317b4, + 0x7fb02dc6, 0x7f834ed0, 0x7f4c7e54, 0x7f0bc097, 0x7ec11aa5, 0x7e6c9251, + 0x7e0e2e32, 0x7da5f5a5, + 0x7d33f0ca, 0x7cb82885, 0x7c32a67e, 0x7ba3751d, 0x7b0a9f8d, 0x7a6831ba, + 0x79bc384d, 0x7906c0b0, + 0x7847d909, 0x777f903c, 0x76adf5e6, 0x75d31a61, 0x74ef0ebc, 0x7401e4c1, + 0x730baeed, 0x720c8075, + 0x71046d3e, 0x6ff389df, 0x6ed9eba1, 0x6db7a87a, 0x6c8cd70b, 0x6b598ea3, + 0x6a1de737, 0x68d9f964, + 0x678dde6e, 0x6639b03b, 0x64dd8950, 0x637984d4, 0x620dbe8b, 0x609a52d3, + 0x5f1f5ea1, 0x5d9cff83, + 0x5c13539b, 0x5a82799a, 0x58ea90c4, 0x574bb8e6, 0x55a6125c, 0x53f9be05, + 0x5246dd49, 0x508d9211, + 0x4ecdfec7, 0x4d084651, 0x4b3c8c12, 0x496af3e2, 0x4793a210, 0x45b6bb5e, + 0x43d464fb, 0x41ecc484, + 0x40000000, 0x3e0e3ddc, 0x3c17a4e8, 0x3a1c5c57, 0x381c8bb5, 0x36185aee, + 0x340ff242, 0x32037a45, + 0x2ff31bde, 0x2ddf0040, 0x2bc750e9, 0x29ac37a0, 0x278dde6e, 0x256c6f9f, + 0x234815ba, 0x2120fb83, + 0x1ef74bf3, 0x1ccb3237, 0x1a9cd9ac, 0x186c6ddd, 0x163a1a7e, 0x14060b68, + 0x11d06c97, 0xf996a26, + 0xd61304e, 0xb27eb5c, 0x8edc7b7, 0x6b2f1d2, 0x4779632, 0x23be165, 0x0, + 0xfdc41e9b, + 0xfb8869ce, 0xf94d0e2e, 0xf7123849, 0xf4d814a4, 0xf29ecfb2, 0xf06695da, + 0xee2f9369, 0xebf9f498, + 0xe9c5e582, 0xe7939223, 0xe5632654, 0xe334cdc9, 0xe108b40d, 0xdedf047d, + 0xdcb7ea46, 0xda939061, + 0xd8722192, 0xd653c860, 0xd438af17, 0xd220ffc0, 0xd00ce422, 0xcdfc85bb, + 0xcbf00dbe, 0xc9e7a512, + 0xc7e3744b, 0xc5e3a3a9, 0xc3e85b18, 0xc1f1c224, 0xc0000000, 0xbe133b7c, + 0xbc2b9b05, 0xba4944a2, + 0xb86c5df0, 0xb6950c1e, 0xb4c373ee, 0xb2f7b9af, 0xb1320139, 0xaf726def, + 0xadb922b7, 0xac0641fb, + 0xaa59eda4, 0xa8b4471a, 0xa7156f3c, 0xa57d8666, 0xa3ecac65, 0xa263007d, + 0xa0e0a15f, 0x9f65ad2d, + 0x9df24175, 0x9c867b2c, 0x9b2276b0, 0x99c64fc5, 0x98722192, 0x9726069c, + 0x95e218c9, 0x94a6715d, + 0x937328f5, 0x92485786, 0x9126145f, 0x900c7621, 0x8efb92c2, 0x8df37f8b, + 0x8cf45113, 0x8bfe1b3f, + 0x8b10f144, 0x8a2ce59f, 0x89520a1a, 0x88806fc4, 0x87b826f7, 0x86f93f50, + 0x8643c7b3, 0x8597ce46, + 0x84f56073, 0x845c8ae3, 0x83cd5982, 0x8347d77b, 0x82cc0f36, 0x825a0a5b, + 0x81f1d1ce, 0x81936daf, + 0x813ee55b, 0x80f43f69, 0x80b381ac, 0x807cb130, 0x804fd23a, 0x802ce84c, + 0x8013f61d, 0x8004fda0, + +}; + + +/** + * @brief Q31 sin_cos function. + * @param[in] theta scaled input value in degrees + * @param[out] *pSinVal points to the processed sine output. + * @param[out] *pCosVal points to the 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 x0; /* Nearest input value */ + q31_t y0, y1; /* Nearest output values */ + q31_t xSpacing = INPUT_SPACING; /* Spaing between inputs */ + uint32_t i; /* Index */ + q31_t oneByXSpacing; /* 1/ xSpacing value */ + q31_t out; /* temporary variable */ + uint32_t sign_bits; /* No.of sign bits */ + uint32_t firstX = 0x80000000; /* First X value */ + + /* Calculation of index */ + i = ((uint32_t) theta - firstX) / (uint32_t) xSpacing; + + /* Checking min and max index of table */ + if(i >= 359) + { + i = 358; + } + + /* Calculation of first nearest input value */ + x0 = (q31_t) firstX + ((q31_t) i * xSpacing); + + /* Reading nearest sine output values from table */ + y0 = sinTableQ31[i]; + y1 = sinTableQ31[i + 1u]; + + /* Calculation of 1/(x1-x0) */ + /* (x1-x0) is xSpacing which is fixed value */ + sign_bits = 8u; + oneByXSpacing = 0x5A000000; + + /* Calculation of (theta - x0)/(x1-x0) */ + out = + (((q31_t) (((q63_t) (theta - x0) * oneByXSpacing) >> 32)) << sign_bits); + + /* Calculation of y0 + (y1 - y0) * ((theta - x0)/(x1-x0)) */ + *pSinVal = __QADD(y0, ((q31_t) (((q63_t) (y1 - y0) * out) >> 30))); + + /* Reading nearest cosine output values from table */ + y0 = cosTableQ31[i]; + y1 = cosTableQ31[i + 1u]; + + /* Calculation of y0 + (y1 - y0) * ((theta - x0)/(x1-x0)) */ + *pCosVal = __QADD(y0, ((q31_t) (((q63_t) (y1 - y0) * out) >> 30))); + +} + +/** + * @} end of SinCos group + */ |