mirror of
https://github.com/DrasLorus/CORDIC_Rotate_APFX.git
synced 2024-11-24 05:33:16 +01:00
initial commit
This commit is contained in:
Camille Monière
commit
fcffa1cb7c
GPG key ID:
188DD5B072181C0F
4 changed files with 284 additions and 0 deletions
7
.gitignore
vendored
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7
.gitignore
vendored
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@ -0,0 +1,7 @@
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.cache
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build
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lib
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bin
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compile_commands.json
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*octave-workspace
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64
CMakeLists.txt
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64
CMakeLists.txt
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@ -0,0 +1,64 @@
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cmake_minimum_required (VERSION 3.16.0 FATAL_ERROR)
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# setting this is required
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set (CMAKE_CXX_STANDARD 14)
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set (CMAKE_ARCHIVE_OUTPUT_DIRECTORY ${CMAKE_BINARY_DIR}/../lib)
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set (CMAKE_LIBRARY_OUTPUT_DIRECTORY ${CMAKE_BINARY_DIR}/../lib)
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set (CMAKE_RUNTIME_OUTPUT_DIRECTORY ${CMAKE_BINARY_DIR}/../bin)
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set (CMAKE_EXPORT_COMPILE_COMMANDS true)
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project (
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CordicRotate
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LANGUAGES CXX
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VERSION 0.1
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)
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option (EXPORT_COMMANDS "Export compile commands, for use with clangd for example." ON)
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if (EXPORT_COMMANDS)
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set (CMAKE_EXPORT_COMPILE_COMMANDS ON)
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endif ()
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option (ENABLE_XILINX "use Xilinx provided and proprietary headers." ON)
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if (ENABLE_XILINX)
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set (
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XILINX_HOME
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/opt/Xilinx
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CACHE PATH "path to Xilinx root folder."
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)
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set (
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XILINX_VER
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"2020.2"
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CACHE STRING "Xilinx software version to use." FORCE
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)
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if (XILINX_VER VERSION_GREATER_EQUAL "2020.1")
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set (AP_INCLUDE_DIR ${XILINX_HOME}/Vitis_HLS/${XILINX_VER}/include)
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else ()
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set (AP_INCLUDE_DIR ${XILINX_HOME}/Vivado/${XILINX_VER}/include)
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endif ()
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message (STATUS "AP headers must lie under ${AP_INCLUDE_DIR}")
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else ()
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set (
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HLS_AP_T_DIR
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${CMAKE_SOURCE_DIR}/../../Utilities/C++/hls_ap_types
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CACHE PATH "path to a clone of HLS_arbitrary_Precision_Types."
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)
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set (AP_INCLUDE_DIR ${HLS_AP_T_DIR}/include)
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endif ()
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if ((NOT EXISTS ${AP_INCLUDE_DIR}/ap_int.h) OR (NOT EXISTS
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${AP_INCLUDE_DIR}/ap_fixed.h)
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)
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message (
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FATAL_ERROR
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"Arbitrary precision headers not found in ${AP_INCLUDE_DIR}.\n"
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"Consider disabling the ap_int feature using `-DENABLE_AP_INT=OFF`"
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" or provide a suitable path to the headers."
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)
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endif ()
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add_library (cordic STATIC sources/CCordicRotate/CCordicRotate.cpp)
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target_include_directories (cordic SYSTEM PUBLIC ${AP_INCLUDE_DIR})
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1
sources/CCordicRotate/CCordicRotate.cpp
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1
sources/CCordicRotate/CCordicRotate.cpp
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#include "CCordicRotate.hpp"
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212
sources/CCordicRotate/CCordicRotate.hpp
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212
sources/CCordicRotate/CCordicRotate.hpp
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#include <climits>
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#include <cmath>
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#include <cstdint>
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#include <cstdlib>
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#include <complex>
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#include <ap_fixed.h>
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#include <ap_int.h>
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static constexpr double atanDbl[28] {
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0.78539816339745, 0.46364760900081, 0.24497866312686, 0.12435499454676,
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0.06241880999596, 0.03123983343027, 0.01562372862048, 0.00781234106010,
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0.00390623013197, 0.00195312251648, 0.00097656218956, 0.00048828121119,
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0.00024414062015, 0.00012207031189, 0.00006103515617, 0.00003051757812,
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0.00001525878906, 0.00000762939453, 0.00000381469727, 0.00000190734863,
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0.00000095367432, 0.00000047683716, 0.00000023841858, 0.00000011920929,
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0.00000005960464, 0.00000002980232, 0.00000001490116, 0.00000000745058};
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template <uint8_t N_STAGES,
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class T,
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uint8_t ATAN_I>
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struct CAtanLUT {
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static_assert(N_STAGES < 28, "Not enough arctan available.");
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static_assert(N_STAGES <= ATAN_I, "ATAN_I can't be less than N_STAGES.");
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static_assert(std::__is_standard_integer<T>(), "Must be a standard C++ integer type.");
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constexpr CAtanLUT() : table() {
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for (uint8_t i = 0; i < N_STAGES; ++i) {
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const double scaled = atanDbl[i] * static_cast<double>(1 << ATAN_I) + 0.5;
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table[i] = static_cast<T>(scaled);
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}
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}
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T table[N_STAGES];
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};
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template <uint8_t N_STAGES,
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uint8_t TH_W,
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uint8_t TH_I,
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uint8_t IN_W,
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uint8_t IN_I,
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uint8_t OUT_W,
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uint8_t OUT_I,
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uint8_t ATAN_I>
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class CCordicRotate {
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private:
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static constexpr auto atanLUT = CAtanLUT<N_STAGES, uint64_t, ATAN_I>();
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public:
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static void process(
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const ap_fixed<TH_W, TH_I> & fx_angle,
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const ap_fixed<IN_W, IN_I> & fx_re_in,
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const ap_fixed<IN_W, IN_I> & fx_im_in,
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ap_fixed<OUT_W, OUT_I> & fx_re_out,
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ap_fixed<OUT_W, OUT_I> & fx_im_out);
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CCordicRotate() {}
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virtual ~CCordicRotate() {};
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};
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#define uint2int(sz, in) ((in & (1U << sz)) == (1U << sz) \
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? static_cast<short>(~in + 1) \
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: static_cast<short>(in))
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template <>
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void CCordicRotate<8, 14, 10, 17, 5, 19, 12, 12>::process(
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const ap_fixed<14, 10> & fx_angle,
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const ap_fixed<17, 5> & fx_re_in,
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const ap_fixed<17, 5> & fx_im_in,
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ap_fixed<19, 12> & fx_re_out,
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ap_fixed<19, 12> & fx_im_out) {
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constexpr uint64_t sign_mask_14 = 0x2000; // 0bxxx xx10 0000 0000 0000
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constexpr uint64_t sign_mask_17 = 0x10000; // 0bxx1 0000 0000 0000 0000
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constexpr uint64_t sign_mask_19 = 0x10000; // 0b100 0000 0000 0000 0000
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const uint16_t angle_bits = fx_angle.bits_to_uint64();
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const short angle = uint2int(14, angle_bits);
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const uint32_t re_in_bits = fx_re_in.bits_to_uint64();
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const uint32_t im_in_bits = fx_im_in.bits_to_uint64();
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const std::complex<int32_t> value(uint2int(17, re_in_bits), uint2int(17, im_in_bits));
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int b_yn;
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int xn;
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int xtmp;
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int ytmp;
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short z;
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bool negate;
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if (angle > 1608) {
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if (((angle - 3217) & 8192) != 0) {
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z = static_cast<short>((angle - 3217) | -8192);
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} else {
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z = static_cast<short>((angle - 3217) & 8191);
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}
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if (z <= 1608) {
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negate = true;
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} else {
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if (((angle - 6434) & 8192) != 0) {
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z = static_cast<short>((angle - 6434) | -8192);
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} else {
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z = static_cast<short>((angle - 6434) & 8191);
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}
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negate = false;
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}
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} else if (angle < -1608) {
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if (((angle + 3217) & 8192) != 0) {
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z = static_cast<short>((angle + 3217) | -8192);
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} else {
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z = static_cast<short>((angle + 3217) & 8191);
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}
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if (z >= -1608) {
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negate = true;
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} else {
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if (((angle + 6434) & 8192) != 0) {
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z = static_cast<short>((angle + 6434) | -8192);
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} else {
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z = static_cast<short>((angle + 6434) & 8191);
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}
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negate = false;
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}
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} else {
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z = angle;
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negate = false;
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}
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z = static_cast<short>(z << 2);
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if ((z & 8192) != 0) {
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z = static_cast<short>(z | -8192);
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} else {
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z = static_cast<short>(z & 8191);
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}
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xn = value.real();
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b_yn = value.imag();
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xtmp = value.real();
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ytmp = value.imag();
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for (int idx = 0; idx < 8; idx++) {
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if (z < 0) {
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z = static_cast<short>(z + atanLUT.table[idx]);
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if ((z & 8192) != 0) {
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z = static_cast<short>(z | -8192);
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} else {
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z = static_cast<short>(z & 8191);
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}
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ytmp += xn;
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if ((ytmp & 262144) != 0) {
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xn = ytmp | -262144;
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} else {
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xn = ytmp & 262143;
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}
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ytmp = b_yn - xtmp;
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if ((ytmp & 262144) != 0) {
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b_yn = ytmp | -262144;
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} else {
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b_yn = ytmp & 262143;
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}
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} else {
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z = static_cast<short>(z - atanLUT.table[idx]);
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if ((z & 8192) != 0) {
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z = static_cast<short>(z | -8192);
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} else {
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z = static_cast<short>(z & 8191);
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}
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ytmp = xn - ytmp;
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if ((ytmp & 262144) != 0) {
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xn = ytmp | -262144;
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} else {
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xn = ytmp & 262143;
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}
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ytmp = b_yn + xtmp;
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if ((ytmp & 262144) != 0) {
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b_yn = ytmp | -262144;
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} else {
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b_yn = ytmp & 262143;
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}
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}
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ytmp = xn >> (idx + 1);
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if ((ytmp & 262144) != 0) {
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xtmp = ytmp | -262144;
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} else {
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xtmp = ytmp & 262143;
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}
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ytmp = b_yn >> (idx + 1);
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if ((ytmp & 262144) != 0) {
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ytmp |= -262144;
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} else {
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ytmp &= 262143;
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}
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}
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if (negate) {
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if ((-xn & 262144) != 0) {
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xn = -xn | -262144;
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} else {
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xn = -xn & 262143;
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}
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if ((-b_yn & 262144) != 0) {
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b_yn = -b_yn | -262144;
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} else {
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b_yn = -b_yn & 262143;
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}
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}
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ap_fixed<19, 7> re, im;
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re.V = static_cast<uint32_t>((xn * 39797L) >> 16);
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im.V = static_cast<uint32_t>((b_yn * 39797L) >> 16);
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ap_fx_cpx<19, 7> iterative_factor;
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iterative_factor.real(re);
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iterative_factor.imag(im);
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return iterative_factor;
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}
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