diff --git a/CMakeLists.txt b/CMakeLists.txt index 44b2969..c976aeb 100644 --- a/CMakeLists.txt +++ b/CMakeLists.txt @@ -59,9 +59,12 @@ if ((NOT EXISTS ${AP_INCLUDE_DIR}/ap_int.h) OR (NOT EXISTS ) endif () -add_library (cordic STATIC sources/CCordicRotate/CCordicRotate.cpp) +add_subdirectory(RomGenerators) + +add_library (cordic STATIC sources/CCordicRotate/CCordicRotate.cpp sources/CCordicRotateHalfPiRom/CCordicRotateHalfPiRom.cpp) target_include_directories (cordic PUBLIC sources) target_include_directories (cordic SYSTEM PUBLIC ${AP_INCLUDE_DIR}) +target_link_libraries(cordic PUBLIC romgen) find_package(Catch2 REQUIRED) @@ -70,3 +73,7 @@ target_link_libraries(catch_common PUBLIC Catch2::Catch2) add_executable(cordic_tb sources/tb/cordic_tb.cpp) target_link_libraries(cordic_tb PUBLIC cordic catch_common) + +include(CTest) +include(Catch) +catch_discover_tests(cordic_tb) diff --git a/RomGenerators/CMakeLists.txt b/RomGenerators/CMakeLists.txt new file mode 100644 index 0000000..b89f82f --- /dev/null +++ b/RomGenerators/CMakeLists.txt @@ -0,0 +1,28 @@ +cmake_minimum_required(VERSION 3.16.0 FATAL_ERROR) +# setting this is required + +set(CMAKE_CXX_STANDARD 14) +set(CMAKE_ARCHIVE_OUTPUT_DIRECTORY ${CMAKE_BINARY_DIR}/../lib) +set(CMAKE_LIBRARY_OUTPUT_DIRECTORY ${CMAKE_BINARY_DIR}/../lib) +set(CMAKE_RUNTIME_OUTPUT_DIRECTORY ${CMAKE_BINARY_DIR}/../bin) + +set(CMAKE_EXPORT_COMPILE_COMMANDS true) + +project( + CordicRomGenerator + LANGUAGES CXX + VERSION 0.1) + +add_library(romgen sources/RomGeneratorMCHalfPi/RomGeneratorMCHalfPi.cpp + sources/RomGeneratorConst/RomGeneratorConst.cpp) +target_include_directories(romgen PUBLIC sources) + +if(CMAKE_BUILD_TYPE STREQUAL "Debug" OR CMAKE_BUILD_TYPE STREQUAL + "RelWithDebInfo") + target_compile_definitions(romgen PRIVATE DEBUG=1) +else() + target_compile_definitions(romgen PRIVATE NDEBUG=1) +endif() + +add_executable(rom_generator sources/main.cpp) +target_link_libraries(rom_generator PUBLIC romgen) diff --git a/RomGenerators/sources/RomGeneratorConst/RomGeneratorConst.cpp b/RomGenerators/sources/RomGeneratorConst/RomGeneratorConst.cpp new file mode 100644 index 0000000..beda42e --- /dev/null +++ b/RomGenerators/sources/RomGeneratorConst/RomGeneratorConst.cpp @@ -0,0 +1 @@ +#include "RomGeneratorConst.hpp" diff --git a/RomGenerators/sources/RomGeneratorConst/RomGeneratorConst.hpp b/RomGenerators/sources/RomGeneratorConst/RomGeneratorConst.hpp new file mode 100644 index 0000000..79c4260 --- /dev/null +++ b/RomGenerators/sources/RomGeneratorConst/RomGeneratorConst.hpp @@ -0,0 +1,148 @@ +#ifndef _ROM_GENERATOR_CONST_ +#define _ROM_GENERATOR_CONST_ + +#include +#include +#include +#include +#include + +#include + +template +class CRomGeneratorConst { + static_assert(In_W > 0, "Inputs can't be on zero bits."); + static_assert(NStages < 8, "7 stages of CORDIC is the maximum supported."); + static_assert(NStages > 1, "2 stages of CORDIC is the minimum."); + +public: + static constexpr double pi = 3.14159265358979323846; + static constexpr double two_pi = 2 * pi; + static constexpr double half_pi = pi * 0.5; + static constexpr double rotation = half_pi; + static constexpr double q = Tq; + static constexpr uint32_t max_length = 4 * Tq; // 2pi / (pi / 2) * q + static constexpr int64_t scale_factor = int64_t(1U << (In_W - 1)); // 2pi / (pi / 2) * q + + static constexpr double atanDbl[28] { + 0.78539816339745, 0.46364760900081, 0.24497866312686, 0.12435499454676, + 0.06241880999596, 0.03123983343027, 0.01562372862048, 0.00781234106010, + 0.00390623013197, 0.00195312251648, 0.00097656218956, 0.00048828121119, + 0.00024414062015, 0.00012207031189, 0.00006103515617, 0.00003051757812, + 0.00001525878906, 0.00000762939453, 0.00000381469727, 0.00000190734863, + 0.00000095367432, 0.00000047683716, 0.00000023841858, 0.00000011920929, + 0.00000005960464, 0.00000002980232, 0.00000001490116, 0.00000000745058}; + +private: + constexpr uint8_t cordic_rom_gen(double rot_in) const { + + double A = scale_factor - 1; + double B = 0; + + uint8_t R = 0; + uint8_t mask = 0x80; + + double beta = rot_in; + +#if 0 + printf("Step 0 - %03u : %02x : %8lf\n", R, R, beta); +#endif + if ((beta < -two_pi) || (two_pi <= beta)) { + fprintf(stderr, "rotation must be inside ] -2*pi; 2*pi ]"); + exit(EXIT_FAILURE); + } + + if ((beta <= -pi) || (beta > pi)) { + beta = beta < 0. ? beta + two_pi : beta - two_pi; + } + + if ((beta < -half_pi) || (beta > half_pi)) { + R = R | mask; + beta = beta < 0 ? beta + pi : beta - pi; + // A = -A; + // B = -B; + } else { + R = R & (~mask); + } + + for (uint8_t u = 1; u < NStages + 1; u++) { +#if 0 + printf("Step %d - %03u : %02x : %8lf\n", u, R, R, beta); +#endif + const uint8_t mask = (1U << (7 - u)); + const uint8_t nmask = ~mask; + + assert((mask & nmask) == 0x00); + assert((mask | nmask) == 0xFF); + + const double sigma = beta < 0 ? -1. : 1; + + R = beta < 0 ? R | mask : R & ~mask; + + const double factor = sigma / double(1U << (u - 1)); + + const double I = A + B * factor; + B = B - A * factor; + A = I; + + beta = beta - sigma * atanDbl[u - 1]; + } +#if 0 + printf("\nFINAL - %03u : %02x : %8lf\n\n", R, R, beta); +#endif + return R; + } + +public: + uint8_t rom[max_length]; + + constexpr CRomGeneratorConst() { + for (unsigned n = 0; n < max_length; n++) { + const double chip_rotation = rotation / double(q) * double(n); + rom[n] = cordic_rom_gen(chip_rotation); + } + } +}; + +template +void generate_rom_header_const(const char * filename = "rom_cordic.h") { + constexpr CRomGeneratorConst rom; + + FILE * rom_file = fopen(filename, "w"); + if (!bool(rom_file)) { + perror("Can't open the rom file for writing."); + exit(EXIT_FAILURE); + } + + // fprintf(rom_file, "#ifndef ROM_CORDIC\n#define ROM_CORDIC\n\n"); + + fprintf(rom_file, "constexpr uint8_t rom_cordic[%d] = {\n ", rom.max_length); + for (uint16_t u = 0; u < rom.max_length - 1; u++) { + if (((u & 7) == 0) && u != 0) { + fprintf(rom_file, "\n "); + } + fprintf(rom_file, "%3d, ", uint16_t(rom.rom[u])); + } + fprintf(rom_file, "%3d};\n", uint16_t(rom.rom[rom.max_length - 1])); + + // fprintf(rom_file, "#endif // ROM_CORDIC"); +} + +template +void generate_rom_header_const_raw(const char * filename = "rom_cordic.txt") { + constexpr CRomGeneratorConst rom; + + FILE * rom_file = fopen(filename, "w"); + if (!bool(rom_file)) { + perror("Can't open the rom file for writing."); + exit(EXIT_FAILURE); + } + + for (uint16_t u = 0; u < rom.max_length - 1; u++) { + fprintf(rom_file, "%03d\n", uint16_t(rom.rom[u])); + } + fprintf(rom_file, "%03d\n\n", uint16_t(rom.rom[rom.max_length - 1])); + +} + +#endif // _ROM_GENERATOR_CONST_ \ No newline at end of file diff --git a/RomGenerators/sources/RomGeneratorMCHalfPi/RomGeneratorMCHalfPi.cpp b/RomGenerators/sources/RomGeneratorMCHalfPi/RomGeneratorMCHalfPi.cpp new file mode 100644 index 0000000..c5761e7 --- /dev/null +++ b/RomGenerators/sources/RomGeneratorMCHalfPi/RomGeneratorMCHalfPi.cpp @@ -0,0 +1 @@ +#include "RomGeneratorMCHalfPi.hpp" diff --git a/RomGenerators/sources/RomGeneratorMCHalfPi/RomGeneratorMCHalfPi.hpp b/RomGenerators/sources/RomGeneratorMCHalfPi/RomGeneratorMCHalfPi.hpp new file mode 100644 index 0000000..acb47f7 --- /dev/null +++ b/RomGenerators/sources/RomGeneratorMCHalfPi/RomGeneratorMCHalfPi.hpp @@ -0,0 +1,123 @@ +#ifndef _ROM_GENERATOR_MC_HALF_PI +#define _ROM_GENERATOR_MC_HALF_PI + +#include +#include +#include +#include + +template +class CRomGeneratorMCHalfPi { + static_assert(In_W > 0, "Inputs can't be on zero bits."); + static_assert(NStages < 8, "7 stages of CORDIC is the maximum supported."); + static_assert(NStages > 1, "2 stages of CORDIC is the minimum."); + static_assert(NStages > 1, "2 stages of CORDIC is the minimum."); + +public: + static constexpr double rotation = M_PI_2; + static constexpr double q = Tq; + static constexpr uint32_t max_length = 4 * Tq; // 2pi / (pi / 2) * q + static constexpr int64_t scale_factor = int64_t(1U << (In_W - 1)); // 2pi / (pi / 2) * q + +private: + constexpr std::complex cordic_MC(const std::complex & x_in, + uint8_t counter) { + + int64_t A = x_in.real(); + int64_t B = x_in.imag(); + + const uint8_t R = counter; + uint8_t mask = 0x80; + if ((R & mask) == mask) { + A = -A; + B = -B; + } + + for (uint16_t u = 1; u < NStages + 1; u++) { + mask = mask >> 1; + + const int64_t Ri = (R & mask) == mask ? 1 : -1; + + const int64_t I = A + Ri * (B / int64_t(1U << (u - 1))); + B = B - Ri * (A / int64_t(1U << (u - 1))); + A = I; + } + + return {A, B}; + } + +public: + uint8_t rom[max_length]; + + CRomGeneratorMCHalfPi() { + for (unsigned n = 0; n < max_length; n++) { + const double re_x = floor(double(scale_factor - 1) * cos(-rotation / double(q) * double(n))); + const double im_x = floor(double(scale_factor - 1) * sin(-rotation / double(q) * double(n))); + + const std::complex x {re_x, im_x}; + + double error = 1000.; + uint8_t rom_v = 0x0; + + std::complex res; + for (uint32_t v = 0; v < max_length; v++) { + const std::complex res_int = cordic_MC(x, v); + + const std::complex res_dbl(double(res_int.real()) / double(scale_factor - 1), + double(res_int.imag()) / double(scale_factor - 1)); + + const double curr_error = std::abs(std::arg(res_dbl)); + if (curr_error < error) { + error = curr_error; + rom_v = uint8_t(v); + res = res_dbl; + } + } + + rom[n] = rom_v; + } + } +}; + +template +void generate_rom_header_mc(const char * filename = "rom_cordic.h") { + const CRomGeneratorMCHalfPi rom; + + FILE * rom_file = fopen(filename, "w"); + if (!bool(rom_file)) { + perror("Can't open the rom file for writing."); + exit(EXIT_FAILURE); + } + + // fprintf(rom_file, "#ifndef ROM_CORDIC\n#define ROM_CORDIC\n\n"); + + fprintf(rom_file, "constexpr uint8_t rom_cordic[%d] = {\n ", rom.max_length); + for (uint16_t u = 0; u < rom.max_length - 1; u++) { + if (((u & 7) == 0) && u != 0) { + fprintf(rom_file, "\n "); + } + fprintf(rom_file, "%3d, ", uint16_t(rom.rom[u])); + } + fprintf(rom_file, "%3d};\n", uint16_t(rom.rom[rom.max_length - 1])); + + // fprintf(rom_file, "#endif // ROM_CORDIC"); +} + +template +void generate_rom_header_mc_raw(const char * filename = "rom_cordic.txt") { + const CRomGeneratorMCHalfPi rom; + + FILE * rom_file = fopen(filename, "w"); + if (!bool(rom_file)) { + perror("Can't open the rom file for writing."); + exit(EXIT_FAILURE); + } + + for (uint16_t u = 0; u < rom.max_length - 1; u++) { + fprintf(rom_file, "%03d\n", uint16_t(rom.rom[u])); + } + fprintf(rom_file, "%03d\n\n", uint16_t(rom.rom[rom.max_length - 1])); + +} + +#endif // _ROM_GENERATOR_MC_HALF_PI \ No newline at end of file diff --git a/RomGenerators/sources/main.cpp b/RomGenerators/sources/main.cpp new file mode 100644 index 0000000..b931699 --- /dev/null +++ b/RomGenerators/sources/main.cpp @@ -0,0 +1,223 @@ +#include "RomGeneratorConst/RomGeneratorConst.hpp" +#include "RomGeneratorMCHalfPi/RomGeneratorMCHalfPi.hpp" + +#include +#include +#include + +using namespace std; + +template +constexpr complex cordic(complex x_in, + uint8_t counter, + const uint8_t * rom_cordic) { + + int64_t A = x_in.real(); + int64_t B = x_in.imag(); + + const uint8_t R = rom_cordic[counter]; + uint8_t mask = 0x80; + if ((R & mask) == mask) { + A = -A; + B = -B; + } + + for (uint8_t u = 1; u < NStages + 1; u++) { + mask = mask >> 1; + + const int64_t Ri = (R & mask) == mask ? 1 : -1; + + const int64_t I = A + Ri * (B / int64_t(1U << (u - 1))); + B = B - Ri * (A / int64_t(1U << (u - 1))); + A = I; + } + + return {A, B}; +} + +template +void checkMC() { + const CRomGeneratorMCHalfPi<16, NStages, 64> rom; + + string fn = "result_MC_W16_S" + to_string(NStages) + "_Q64.dat"; + ofstream res_file(fn); + + for (unsigned u = 0; u < rom.max_length; u++) { + auto res = cordic(4096, u, rom.rom); + res_file << double(res.real() * 155) / 1048576. << ", " << double(res.imag() * 155) / 1048576. << endl; + } +} + +template +void checkConst() { + constexpr CRomGeneratorConst<16, NStages, 64> rom; + + string fn = "result_const_W16_S" + to_string(NStages) + "_Q64.dat"; + ofstream res_file(fn); + + for (unsigned u = 0; u < rom.max_length; u++) { + auto res = cordic(4096, u, rom.rom); + res_file << double(res.real() * 155) / 1048576. << ", " << double(res.imag() * 155) / 1048576. << endl; + } +} + +int main(int argc, char * argv[]) { + + uint8_t stages; + bool use_mc; + bool use_txt; + + switch (argc) { + case 1: + stages = 6; + use_mc = false; + use_txt = false; + break; + case 2: + stages = stoi(string(argv[1])); + use_mc = false; + use_txt = false; + break; + case 3: + stages = stoi(string(argv[1])); + use_mc = stoi(string(argv[2])) > 0; + use_txt = false; + break; + case 4: + stages = stoi(string(argv[1])); + use_mc = stoi(string(argv[2])) > 0; + use_txt = stoi(string(argv[3])) > 0; + break; + default: + cerr << "Error, too many arguments. Expected at most 3." << endl; + exit(EXIT_FAILURE); + } + if (use_txt) { + if (use_mc) { + switch (stages) { + case 2: + generate_rom_header_mc_raw<16, 2, 64>("rom_cordic_mc_W16_S2_Q64.txt"); + checkMC<2>(); + break; + case 3: + generate_rom_header_mc_raw<16, 3, 64>("rom_cordic_mc_W16_S3_Q64.txt"); + checkMC<3>(); + break; + case 4: + generate_rom_header_mc_raw<16, 4, 64>("rom_cordic_mc_W16_S4_Q64.txt"); + checkMC<4>(); + break; + case 5: + generate_rom_header_mc_raw<16, 5, 64>("rom_cordic_mc_W16_S5_Q64.txt"); + checkMC<5>(); + break; + case 6: + generate_rom_header_mc_raw<16, 6, 64>("rom_cordic_mc_W16_S6_Q64.txt"); + checkMC<6>(); + break; + case 7: + generate_rom_header_mc_raw<16, 7, 64>("rom_cordic_mc_W16_S7_Q64.txt"); + checkMC<7>(); + break; + default: + cerr << "Error, no less than 2 stages, no more than 7." << endl; + exit(EXIT_FAILURE); + } + } else { + switch (stages) { + case 2: + generate_rom_header_const_raw<16, 2, 64>("rom_cordic_const_W16_S2_Q64.txt"); + checkConst<2>(); + break; + case 3: + generate_rom_header_const_raw<16, 3, 64>("rom_cordic_const_W16_S3_Q64.txt"); + checkConst<3>(); + break; + case 4: + generate_rom_header_const_raw<16, 4, 64>("rom_cordic_const_W16_S4_Q64.txt"); + checkConst<4>(); + break; + case 5: + generate_rom_header_const_raw<16, 5, 64>("rom_cordic_const_W16_S5_Q64.txt"); + checkConst<5>(); + break; + case 6: + generate_rom_header_const_raw<16, 6, 64>("rom_cordic_const_W16_S6_Q64.txt"); + checkConst<6>(); + break; + case 7: + generate_rom_header_const_raw<16, 7, 64>("rom_cordic_const_W16_S7_Q64.txt"); + checkConst<7>(); + break; + default: + cerr << "Error, no less than 2 stages, no more than 7." << endl; + exit(EXIT_FAILURE); + } + } + } else { + + if (use_mc) { + switch (stages) { + case 2: + generate_rom_header_mc<16, 2, 64>("rom_cordic_mc_W16_S2_Q64.hpp"); + checkMC<2>(); + break; + case 3: + generate_rom_header_mc<16, 3, 64>("rom_cordic_mc_W16_S3_Q64.hpp"); + checkMC<3>(); + break; + case 4: + generate_rom_header_mc<16, 4, 64>("rom_cordic_mc_W16_S4_Q64.hpp"); + checkMC<4>(); + break; + case 5: + generate_rom_header_mc<16, 5, 64>("rom_cordic_mc_W16_S5_Q64.hpp"); + checkMC<5>(); + break; + case 6: + generate_rom_header_mc<16, 6, 64>("rom_cordic_mc_W16_S6_Q64.hpp"); + checkMC<6>(); + break; + case 7: + generate_rom_header_mc<16, 7, 64>("rom_cordic_mc_W16_S7_Q64.hpp"); + checkMC<7>(); + break; + default: + cerr << "Error, no less than 2 stages, no more than 7." << endl; + exit(EXIT_FAILURE); + } + } else { + switch (stages) { + case 2: + generate_rom_header_const<16, 2, 64>("rom_cordic_const_W16_S2_Q64.hpp"); + checkConst<2>(); + break; + case 3: + generate_rom_header_const<16, 3, 64>("rom_cordic_const_W16_S3_Q64.hpp"); + checkConst<3>(); + break; + case 4: + generate_rom_header_const<16, 4, 64>("rom_cordic_const_W16_S4_Q64.hpp"); + checkConst<4>(); + break; + case 5: + generate_rom_header_const<16, 5, 64>("rom_cordic_const_W16_S5_Q64.hpp"); + checkConst<5>(); + break; + case 6: + generate_rom_header_const<16, 6, 64>("rom_cordic_const_W16_S6_Q64.hpp"); + checkConst<6>(); + break; + case 7: + generate_rom_header_const<16, 7, 64>("rom_cordic_const_W16_S7_Q64.hpp"); + checkConst<7>(); + break; + default: + cerr << "Error, no less than 2 stages, no more than 7." << endl; + exit(EXIT_FAILURE); + } + } + } + + return EXIT_SUCCESS; +} \ No newline at end of file diff --git a/data/input_8_14_10_17_5_19_12_12.dat b/data/input_8_14_10_17_5_19_12_12.dat deleted file mode 100644 index 6014be6..0000000 --- a/data/input_8_14_10_17_5_19_12_12.dat +++ /dev/null @@ -1,100000 +0,0 @@ -4.40613160950451,-3.11647433394929,-0.0186403717457795 -5.68108711905867,1.71974677715733,-0.460380676762862 --5.22218457189092,-0.648909525128298,-1.67889973854836 -5.78726198594627,-3.271670249389,1.60879235889154 -1.85302944715573,-1.82125972403646,1.98438258484067 --5.63443433000827,-5.5922798451333,-0.316197559402028 --3.10102493586132,0.942607777705241,-0.704425209806117 -0.656341268869774,2.10778154082882,-0.681293046775584 -6.40509569608017,4.86207032779592,-1.05155485810732 -6.50843949278987,-3.57108250678343,-2.83961867339599 --4.79341685651432,-6.62989247726827,-1.82373683999761 -6.58829894464862,2.04259794491043,-0.488374959569323 -6.40033727540124,4.88194021660134,-1.31424412679275 --0.204740917880223,-1.43061341038027,-1.68240279869685 -4.2039265644432,6.02883986640225,-0.668108809581901 --5.01359125921899,-3.30529597958163,2.18769251267338 --1.09534204323215,-3.04836976315014,0.851477394366596 -5.82029735264694,2.50832947226897,-0.612127877379561 -4.09090261383376,-0.265677251108444,0.251692023255474 -6.43289396950064,4.36120916976133,-0.434028221707579 -2.18036978819222,6.09684090301624,-1.476477909229 --6.50003649996135,-6.38963317504189,0.579059708417054 -4.88781028216288,-4.27413526260873,0.85602141928018 -6.07590546860571,-3.42335135212177,1.9217805419441 -2.50229216800883,-1.18175268047993,1.71972408642887 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--3.10852482022062,-1.36298167715163 --7.93119022949457,-1.45482286006536 -2.91477714889904,5.87053228012411 -4.40030482610909,5.05582812705026 --0.254233461728746,7.77975215305907 --0.847036543363614,1.65836166268413 -1.11828622998505,1.616224186301 -3.3615674347705,-7.92798293501561 --2.98006002168051,-5.29897635915877 --0.462383009154995,-4.22897207945379 -7.44612068231426,-0.00125939816747877 --3.82790679109847,1.10470719735305 -8.52958433615394,3.36399156929346 --1.74394337041155,7.61250758226677 -0.824318535721704,1.30690793813249 -2.09870875127669,-0.64953222246303 --5.05397923507695,-3.07137185718299 --8.86635259860637,1.90070422496809 --3.03040926129067,-3.321522827499 --1.68014378947149,5.53027917476532 --3.33145950393307,6.44628480669107 --4.49751094625811,3.77038875680607 -0.937719826716791,-6.90335703712974 -0.708117912606494,-0.372573675770569 -2.40992238184903,-6.97845223617978 --2.69903239834526,-2.49315433207014 -4.82407122332629,-5.42654614207328 --0.878458306618541,-4.38427889721297 -3.97798163687018,2.66540876796068 -3.98289442927605,2.05058818262037 -4.43998727637415,1.61098886086194 -2.06965571347373,-5.72761358448964 -6.84644490484777,0.93689356964763 --2.53178407619054,3.92866056069316 --2.03030706237552,-1.13154529191328 -6.7989952324662,-2.02765878553677 --3.30910490468106,0.847090270550711 -3.13553136438463,5.21928265411722 --3.72765541748747,1.82658337787059 --4.53764428968131,3.08421232853338 -4.2313363898021,-4.40397937514759 --1.09757469309195,6.66793995568823 --4.1223155319532,2.64638087256674 -5.09716623788883,2.93642051560119 --0.212689661200957,6.87491256678195 -3.10533889190371,5.37679693327212 -6.07891191200817,5.4122985022488 --3.07913605765494,4.95501419257195 -4.3102020508464,6.23092884879114 -7.69277091948919,-2.95714149032934 -6.46386816233011,2.49232294224991 -2.6759085359517,-3.1437948481084 -0.732639749763093,-6.45697782718109 -2.01663938293756,-0.656064337226687 -5.35739154972272,6.4789466246082 --3.34684719556044,2.93204138065451 -0.921178494152039,2.6870367006845 -1.33455911220662,3.89844233516198 -2.84077643262392,5.80879327516414 -2.6067902646775,5.6454170964037 -7.35980631800036,5.51268172564874 --1.64931285396626,-3.09892008871191 -2.29132555742984,4.8937374189602 -0.0321140744369397,6.63773627554346 -1.38110557357492,-7.20146384878786 -2.09607751429316,-6.45820917118253 --1.22173254905003,1.63643145948597 -2.20991911921369,1.86976006864879 --6.40882699514343,-3.56284133786156 --1.13422185900971,-0.718288869689668 --7.43668634599413,-2.27849045461661 -7.8567899725633,-4.40982457013784 -3.09635422966887,1.12214287474618 -6.19209320781197,3.86455613079461 --6.10623420970396,0.198071592184795 --3.12958210085838,6.19732141186388 -0.638104747302499,-6.55592369089209 -5.22843983541175,0.655592100852358 --0.222690325035382,4.47303818403588 -8.07914941886147,-0.84573619235673 -5.12447967743306,0.995700484500467 --4.75637002692159,-1.69826713564491 -1.76454041225415,-1.49617923478916 -5.28668629106449,-0.254715113499683 -3.79027452504965,-2.77824875839589 -1.49956725162827,1.88691554213513 -1.78302997771619,6.58013155388185 -0.128405284169811,-1.15547338410897 --1.93621535324933,6.73583751008594 --1.0060472910369,-7.05588602611218 -3.90898262655344,2.0138466389573 --5.51297623145331,2.62903984754079 -4.73548107307544,5.90936207796481 --1.28879181758503,6.35221590527405 --3.46810737409084,-1.24399091965075 -5.1855823049882,0.913426132475797 --0.787370106150939,-2.04530687476623 -5.54957983734767,-3.14444903167272 -0.853618462296492,-1.99800504972024 -3.78030483203998,-5.81995343365604 -3.12007418467136,2.76389186663316 -3.58557452146495,-2.98873714855933 -3.4584654480372,-0.0987986124745815 -5.10231678448153,0.374004046919896 -2.65892290421118,2.98443967353445 -2.80532938256429,-6.43521157838426 -4.20732013734644,5.45191343497962 --5.00992947257371,2.06136921858178 -1.04726923098487,0.186820035237071 -7.77096001465905,2.93361966870898 --7.0852328528039,-0.794904589627672 --0.172985198442959,4.20748675815651 -1.18060037360549,-7.05814504675626 -4.34847146913801,0.766679955000768 --4.08985643716316,2.61588429525521 -1.16784823477564,8.50224176383084 --6.20899987929263,0.431849065023693 -4.10782998710765,-2.65434518212092 --0.23941152547156,-4.25678419791648 --4.6578115963057,4.79494859947691 -6.07923656027577,2.96933486073525 --7.97044932996912,1.48841899762736 -4.52952550684939,-0.731668591478671 -3.02677359214211,2.50292380159493 --2.7219572466241,-6.24567473386871 --3.26374099446734,-5.32991432891144 --0.29788935911714,-0.298712193225717 --1.42132956798771,4.88601422930961 --1.3679093096246,-5.87381436443957 --2.98804519935107,3.27598995503551 --2.38768387693119,3.21254437634365 --2.91865975609152,-4.27260958860706 --0.674980209748483,-1.78521669717377 --3.24900116049609,-1.94113527476822 --0.891244394793191,5.49536056839944 --5.78495923386775,-5.47784329328567 --1.22676110806308,6.5882908169848 --5.19665218332124,0.256202733449649 --0.949453017396424,2.55443075174744 --3.74829172609352,-4.21450506579034 --2.79672207735262,1.99825687589299 --5.69865436660201,4.89984822772587 -8.81090346029332,3.03574770285508 -2.92621081359876,4.93122295396882 -7.09234881212866,-1.04091541080918 --3.41609541627013,0.449828163147559 -4.51489105240574,-1.8100742200614 -6.75535175700223,0.475117295746022 -4.83108047516467,-0.452247489465362 --7.461671657267,3.73119434553495 -6.55495104241029,-2.45944406631226 -4.00079620909767,1.08037372954345 -2.60208571032742,4.8130277635525 --2.75665189013012,-3.31298804510872 -2.9561594634887,4.85377875603467 -8.01807254038283,3.5068843887791 -4.00106396233293,-2.388033053841 -4.27182293639953,-3.96356279225448 --7.36054189317713,2.17733255622775 --7.49626584593045,3.21130232482131 -0.974492376142515,0.706166125920366 --1.55863349640522,6.6285126585261 --4.67419015725454,0.650455888366983 -2.85666951707787,-9.01773218779897 --3.74755178416838,3.36556133584902 -0.409676952661064,5.872573988171 --5.96825773978051,-2.38117914532705 -4.29500538699699,1.19733978643153 --1.50814408339141,-2.60143018288813 -0.858028397940581,4.80020221153619 --5.27655092630201,-5.05924523296987 -4.23965227521636,-2.60535065787045 --3.92392240166411,-3.43508995296654 -2.93602305517305,-5.25073922204513 -6.41355636419582,-0.077802352146774 --0.298008134313063,-3.7097153903457 --6.43276275318902,-3.81244797661846 --8.29703604837316,1.12228689192698 --4.15108604060264,5.24930666149915 --0.372610228326138,5.988918839991 --3.11884806602027,0.400974472544868 --1.72364215420624,-3.58370616789893 --1.0853789973572,-5.22363062081133 --6.78254548789801,-1.68511545383799 --6.5053872875401,1.17158333246137 -3.7497282959087,3.23229739912077 --4.20769780468296,3.81831286686291 -6.66914292637388,5.6525695412222 --0.757641556593995,2.79841819843857 --3.99680714967102,4.00063488835851 --0.602557314178625,6.07256428694898 --1.1875102361762,-6.71460988839424 -1.13232285685643,-3.21470141188605 -2.30878808679592,-2.25717349493989 --3.89364812444827,-2.45128901750811 --1.54639392017758,-0.561921400860155 --5.62158425952352,-3.32016083359976 -6.29479585654092,-1.28478473244514 --3.89614482941382,3.13475009309168 --3.17987083606919,2.90416798397246 -2.9806520204768,-0.0849252256404718 -5.77254785598574,0.76965278913377 --1.1117586438691,-7.68113073222338 --2.54176666710859,2.93350081194947 -0.705190510578039,2.08433942819067 -3.41044856397583,5.11652997733334 -6.51308711104501,-1.4931106235007 -3.76796541620493,1.52398801566757 --0.117324976195109,-7.18110809269429 --4.1778409763639,-3.95966835010774 -0.839413752098217,1.68661755719285 --3.33370905930612,-3.45945983313642 -2.95879195706021,6.11920257938512 --6.56037056208838,-3.08527605765298 --1.94800770411349,7.51047219801955 --0.492768270355671,-7.51502346702858 --0.483531874862422,5.44756537516835 --0.777122790337256,-0.164590171822845 --4.8087134027329,1.06839810477959 -4.01052490224321,2.50055782692602 --1.34837846819708,1.34743158949577 -1.67379043742053,-2.34412911581265 --2.16260868064519,5.16474599699389 --1.96569978610723,1.78268103579941 -2.4858487148336,-4.8982779613869 -6.98275007894948,-0.793960594762401 -1.6116414248613,6.83109370897024 --1.18641718233957,-1.23458859560641 -5.10746382608607,-4.74822305866822 -1.64524207603461,-6.9414393715404 --1.53933077660261,-2.74481816002176 -4.88830460201069,-4.41087062745155 -5.61277715577955,-0.64685389307576 -0.784116372623822,-4.65959771881104 -4.26249796424206,3.58099805584913 --4.31860296021932,-0.589432720838536 --5.6940289957592,-1.7461408198111 --0.508583142920585,-8.74265259266069 -4.53045401931194,5.22702747528101 --6.96989647866137,0.927632838655766 -3.36622304802153,-3.07014667189958 --4.78715114466548,-3.58405994076709 -6.05856581113725,-0.0965100563607355 --5.0611039292955,-3.67589971121658 --0.806419445091389,-3.38986912857495 --2.06215959223001,-2.01827372219331 --4.32565298906088,-5.95364976688681 --3.07767468662658,3.98183897400252 --1.00026045049524,-0.882638030214392 -6.39333224426574,-2.18039717526417 -6.25782958531855,-3.06553319904715 -4.18212749469046,0.11332016581522 -5.96608156789316,3.25563680674155 --0.470130531424844,4.02433897562332 --2.21371920481818,-6.62933669931783 -3.95417184384997,4.99783808000498 -3.01324143029297,-3.27284152409525 -0.66478102979408,-4.86800808564926 --0.144224322601397,6.31564163841367 -0.374153918209369,-4.29201568815687 --2.81854229059533,-0.163771871877599 --0.270247996124881,4.46641251611998 -5.99602922439602,-1.86601805532894 -3.19873842424292,2.61437445090924 --5.54320185211059,2.61814266645304 --5.43367579823084,-5.86744675484028 --5.63528574985138,-2.59198846444019 --1.1181712131543,-6.30681882771807 -0.0719394375043091,-1.66085038912732 -6.05648556426136,1.60359565571412 --3.46677784227353,1.15954260485379 --2.42603535726122,-3.2530622410244 --2.28687880237831,-6.06173261563275 --4.83063873575934,-4.6524275956291 -3.33434606496601,-3.91914433447622 --0.00120207082719681,2.67830693671374 --4.18621324629684,-0.963192079713185 --6.73588512638565,3.50304306203061 -6.78865503271566,-3.10754527543049 -2.8343793025621,-2.49685313531931 --6.73668966607356,1.04761359174978 -4.85876023738905,-2.66887774971159 -7.93884712077749,2.69707766951634 -1.96429434333152,-7.19931602760162 -6.99921193851129,-0.457298877404343 --2.55577306929777,-1.4482798556465 -1.67923757554948,-0.0251434655633329 --0.446720823281922,-3.22693289931826 --2.57739599256698,5.67693385383191 -1.42816205777295,0.569440892630817 -3.51866042592248,-1.14157152781479 -0.941491131110758,7.44470843042399 --3.38013333303841,4.50171070226041 -6.88058098429383,3.04025927120523 -2.86093178108747,-2.16833808889578 --7.01164167362372,6.66459727345797 --4.88190847854743,-0.312129622427419 -6.48717206624684,-5.01013113592645 --4.87299310976663,0.896912267964992 --0.0940250906189782,-7.98368384998644 -2.42702873535444,6.0956258167533 --6.70572448240672,-2.27954263801402 --1.99867248672178,-4.3001881071156 --6.13329786237153,0.278628509808926 -2.48768191128028,6.41817889715799 --2.94609054217295,9.01963753314687 -1.50558144976932,2.46674743094005 --0.249430908146423,-2.59025580808819 --0.502228517631107,-6.94029939034919 --4.09732727993295,1.24612667681906 --0.985488004570204,-6.3471274750962 --2.18251736501712,-1.45233958928201 -3.63535230819915,1.75288582711506 --6.31509988194201,0.937544344482753 -5.03133174930356,1.33853074079734 --1.08643680300492,-2.89541851798704 -6.57060087717328,1.54777334432287 -5.59439082862389,-1.05059320729588 --6.90070299217924,3.12234054574601 -0.952024481703546,7.11775010313799 -0.609955773307371,-0.818507864664825 --7.18782225283442,1.95263150144053 --6.86641277844295,-2.34699188669995 --7.52150636826302,-0.378369644520015 --0.0987051830815193,-0.469936500801117 --0.0543611999814837,7.25577645865995 -4.46533941674553,-0.999059862582901 -0.411744975111186,4.34166709109314 --2.27502916000103,5.24243209879615 --3.24582774309047,-4.64104924148692 --4.74047805009178,0.439396970133564 --3.27998815669783,5.60584082314607 --4.95164996494172,5.45115055744381 --5.00196752792501,-6.43461845523886 --4.13505662720995,5.26147242142143 -2.7209546883346,5.7890087686939 --1.05773094263422,-3.09982956665104 -5.25037955915254,-1.8791418210893 -3.33262067656544,1.67475136787302 -0.963604667743772,-3.04936465637861 -2.33567123679676,-3.45231285732641 -0.337508314279286,4.59435192251823 --1.24418355450891,-1.47445452455763 --2.1676158246706,2.97761155319777 --5.4736533372221,-1.63522086229292 -2.58150291345319,6.03871277063017 --2.18143242400156,6.75418340890453 -0.0872369530820282,-0.363190482722704 --0.901769639079467,5.16971880563056 diff --git a/sources/CCordicRotate/CCordicRotate.cpp b/sources/CCordicRotate/CCordicRotate.cpp index 7f1c513..db00cd8 100644 --- a/sources/CCordicRotate/CCordicRotate.cpp +++ b/sources/CCordicRotate/CCordicRotate.cpp @@ -1,6 +1,5 @@ #include "CCordicRotate.hpp" - #define uint2int(sz, in) ((in & (1U << sz)) == (1U << sz) \ ? static_cast(~in + 1) \ : static_cast(in)) @@ -8,14 +7,14 @@ template <> void CCordicRotate<8, 14, 4, 17, 5, 19, 7, 12>::process( const ap_fixed<14, 4> & fx_angle, - const ap_fixed<17, 5> & fx_re_in, - const ap_fixed<17, 5> & fx_im_in, + const ap_fixed<17, 5> & fx_re_in, + const ap_fixed<17, 5> & fx_im_in, ap_fixed<19, 7> & fx_re_out, ap_fixed<19, 7> & fx_im_out) { - constexpr uint64_t sign_mask_14 = 0x2000; // 0bxxx xx10 0000 0000 0000 - constexpr uint64_t sign_mask_17 = 0x10000; // 0bxx1 0000 0000 0000 0000 - constexpr uint64_t sign_mask_19 = 0x10000; // 0b100 0000 0000 0000 0000 + // constexpr uint64_t sign_mask_14 = 0x2000; // 0bxxx xx10 0000 0000 0000 + // constexpr uint64_t sign_mask_17 = 0x10000; // 0bxx1 0000 0000 0000 0000 + // constexpr uint64_t sign_mask_19 = 0x10000; // 0b100 0000 0000 0000 0000 const uint16_t angle_bits = fx_angle.bits_to_uint64(); diff --git a/sources/CCordicRotateHalfPiRom/CCordicRotateHalfPiRom.cpp b/sources/CCordicRotateHalfPiRom/CCordicRotateHalfPiRom.cpp new file mode 100644 index 0000000..12bb1b0 --- /dev/null +++ b/sources/CCordicRotateHalfPiRom/CCordicRotateHalfPiRom.cpp @@ -0,0 +1,2 @@ +#include "CCordicRotateHalfPiRom.hpp" + diff --git a/sources/CCordicRotateHalfPiRom/CCordicRotateHalfPiRom.hpp b/sources/CCordicRotateHalfPiRom/CCordicRotateHalfPiRom.hpp new file mode 100644 index 0000000..baa1e19 --- /dev/null +++ b/sources/CCordicRotateHalfPiRom/CCordicRotateHalfPiRom.hpp @@ -0,0 +1,176 @@ +#ifndef C_CORDIC_ROTATE_ROM_HALF_PI_HPP +#define C_CORDIC_ROTATE_ROM_HALF_PI_HPP + +#include +#include +#include +#include + +#include + +#include +#include + +#include "RomGeneratorConst/RomGeneratorConst.hpp" + +// ``` GNU Octave +// kn_values(X) = prod(1 ./ abs(1 + 1j * 2.^ (-(0:X)))) +// ``` +static constexpr double kn_values[7] = {0.70710678118655, 0.632455532033680, 0.613571991077900, 0.608833912517750, 0.607648256256170, 0.607351770141300, 0.607277644093530}; + +template +class CCordicRotateRomHalfPi { + static_assert(TIn_W > 0, "Inputs can't be on zero bits."); + static_assert(TNStages < 8, "7 stages of CORDIC is the maximum supported."); + static_assert(TNStages > 1, "2 stages of CORDIC is the minimum."); + +public: + static constexpr CRomGeneratorConst rom_cordic {}; + + static constexpr unsigned In_W = TIn_W; + static constexpr unsigned In_I = TIn_I; + static constexpr unsigned Out_W = In_W + 2; + static constexpr unsigned Out_I = In_I + 2; + static constexpr unsigned NStages = TNStages; + + static constexpr uint64_t kn_i = uint64_t(kn_values[NStages - 1] * double(1U << 3)); // 3 bits are enough + static constexpr uint64_t in_scale_factor = uint64_t(1U << (In_W - In_I)); + static constexpr uint64_t out_scale_factor = uint64_t(1U << (Out_W - Out_I)); + + static constexpr int64_t scale_cordic(int64_t in) { + return in * kn_i / 8U; + } + + constexpr std::complex cordic(std::complex x_in, + uint8_t counter) const { + + int64_t A = x_in.real(); + int64_t B = x_in.imag(); + + const uint8_t R = rom_cordic.rom[counter]; + uint8_t mask = 0x80; + if ((R & mask) == mask) { + A = -A; + B = -B; + } + + for (uint8_t u = 1; u < NStages + 1; u++) { + mask = mask >> 1; + + const int64_t Ri = (R & mask) == mask ? 1 : -1; + + const int64_t I = A + Ri * (B / int64_t(1U << (u - 1))); + B = B - Ri * (A / int64_t(1U << (u - 1))); + A = I; + } + + return {(A), (B)}; + } + +#ifndef __SYNTHESIS__ + static constexpr double scale_cordic(double in) { + return in * kn_values[NStages - 1]; + } + + constexpr std::complex cordic(std::complex x_in, + uint8_t counter) const { + const std::complex fx_x_in(int64_t(x_in.real() * double(in_scale_factor)), + int64_t(x_in.imag() * double(in_scale_factor))); + + const std::complex fx_out = cordic(fx_x_in, counter); + return {scale_cordic(double(fx_out.real())) / double(out_scale_factor), scale_cordic(double(fx_out.imag())) / double(out_scale_factor)}; + } + +#endif + + template + static ap_int scale_cordic(const ap_int & in) { + const ap_int tmp = in * ap_uint<3>(kn_i); + return ap_int(tmp >> 3); + } + + void cordic(const ap_int & re_in, const ap_int & im_in, + const ap_uint<8> & counter, + ap_int & re_out, ap_int & im_out) const { + + const ap_uint<6 + 1> R = (rom_cordic.rom[counter] >> (7 - NStages)); + + ap_int A = bool(R[NStages]) ? ap_int(-re_in) : re_in; + ap_int B = bool(R[NStages]) ? ap_int(-im_in) : im_in; + + for (uint8_t u = 1; u < 6 + 1; u++) { // 6 stages + + const bool Ri = bool(R[NStages - u]); + + // Results in (X / 2^(u - 1)), meaning only the + // Out_W - u LSBs are meaninfull in shifted_X + // Can't use range access since 11111111 (-1) would become 00001111 (15). + // Would be possible if the loop is manually unrolled, to predict bitsize, + // thus directly put 1111 into 4 bits (so still -1). + const ap_int shifted_A = A >> (u - 1); // A(Out_W - 1, u - 1); + const ap_int shifted_B = B >> (u - 1); // B(Out_W - 1, u - 1); + + const ap_int arc_step_A + = Ri + ? ap_int(-shifted_A) + : shifted_A; + const ap_int arc_step_B + = Ri + ? shifted_B + : ap_int(-shifted_B); + + const ap_int I = A + arc_step_B; + B = B + arc_step_A; + A = I; + } + + re_out = A; + im_out = B; + } +}; + + +#if 0 +template <> +inline void CCordicRotateRomHalfPi<16, 4, 6, 64>::cordic( + const ap_int<16> & re_in, const ap_int<16> & im_in, + const ap_uint<8> & counter, + ap_int & re_out, ap_int & im_out) const { + + const ap_uint<6 + 1> R = (rom_cordic.rom[counter.to_uint()] >> (7 - 6)); + + ap_int A = bool(R[6]) ? ap_int<16>(-re_in) : re_in; + ap_int B = bool(R[6]) ? ap_int<16>(-im_in) : im_in; + + for (uint8_t u = 1; u < 6 + 1; u++) { // 6 stages + + const bool Ri = bool(R[6 - u]); + + // Results in (X / 2^(u - 1)), meaning only the + // Out_W - u LSBs are meaninfull in shifted_X + // Can't use range access since 11111111 (-1) would become 00001111 (15). + // Would be possible if the loop is manually unrolled, to predict bitsize, + // thus directly put 1111 into 4 bits (so still -1). + const ap_int shifted_A = A >> (u - 1); // A(Out_W - 1, u - 1); + const ap_int shifted_B = B >> (u - 1); // B(Out_W - 1, u - 1); + + const ap_int arc_step_A + = Ri + ? ap_int(-shifted_A) + : shifted_A; + const ap_int arc_step_B + = Ri + ? shifted_B + : ap_int(-shifted_B); + + const auto I = A + arc_step_B; + B = B + arc_step_A; + A = I; + } + + re_out = A; + im_out = B; +} +#endif + +#endif // C_CORDIC_ROTATE_ROM_HALF_PI_HPP \ No newline at end of file diff --git a/sources/tb/cordic_tb.cpp b/sources/tb/cordic_tb.cpp index ec37ea7..98cbe5c 100644 --- a/sources/tb/cordic_tb.cpp +++ b/sources/tb/cordic_tb.cpp @@ -1,4 +1,5 @@ #include "CCordicRotate/CCordicRotate.hpp" +#include "CCordicRotateHalfPiRom/CCordicRotateHalfPiRom.hpp" #include #include @@ -6,11 +7,10 @@ using namespace std; -typedef CCordicRotate<8, 14, 4, 17, 5, 19, 7, 12> cordic_t; - using Catch::Matchers::Floating::WithinAbsMatcher; -TEST_CASE("_8_14_10_17_5_19_12_12") { +TEST_CASE("Adaptive CORDIC work as intended", "[!hide][WIP]") { + typedef CCordicRotate<8, 14, 4, 17, 5, 19, 7, 12> cordic_legacy; string input_fn = "../data/input.dat"; // _8_14_4_17_5_19_7_12 string output_fn = "../data/output.dat"; // _8_14_4_17_5_19_7_12 @@ -52,7 +52,9 @@ TEST_CASE("_8_14_10_17_5_19_12_12") { for (unsigned iter = 0; iter < n_lines; iter++) { // Execute - cordic_t::process(angles_in[iter], values_re_in[iter], values_im_in[iter], values_re_out[iter], values_im_out[iter]); + cordic_legacy::process(angles_in[iter], + values_re_in[iter], values_im_in[iter], + values_re_out[iter], values_im_out[iter]); // Display the results // cout << "Series " << iter; @@ -69,3 +71,232 @@ TEST_CASE("_8_14_10_17_5_19_12_12") { // int retval = 0; // Return 0 if the test passed } + +TEST_CASE("ROM-based Cordic works with C-Types", "[CORDIC]") { + SECTION("W:16 - I:4 - Stages:6 - q:64") { + typedef CCordicRotateRomHalfPi<16, 4, 6, 64> cordic_rom; + + string input_fn = "../data/input.dat"; // _8_14_4_17_5_19_7_12 + string output_fn = "../data/output.dat"; // _8_14_4_17_5_19_7_12 + + constexpr unsigned n_lines = 100000; + + complex values_in[n_lines]; + complex values_out[n_lines]; + + complex results[n_lines]; + + ofstream FILE; + + ifstream INPUT(input_fn); + + // Init test vector + for (unsigned i = 0; i < n_lines; i++) { + double a, b, r; + INPUT >> a >> b >> r; + + const complex c {a, b}; + values_in[i] = c; + + constexpr double rotation = cordic_rom::rom_cordic.rotation; + constexpr double q = cordic_rom::rom_cordic.q; + + const complex e = exp(complex(0., rotation / q * (i & 255))); + results[i] = c * e; + } + + INPUT.close(); + + // Save the results to a file + FILE.open("results.dat"); + + constexpr cordic_rom cordic {}; + + constexpr double abs_margin = double(1 << cordic.Out_I) * 2. / 100.; + + // Executing the encoder + for (unsigned iter = 0; iter < n_lines; iter++) { + // Execute + + values_out[iter] = cordic.cordic(values_in[iter], (iter & 255)); + + // Display the results + // cout << "Series " << iter; + // cout << " Outcome: "; + + FILE << values_out[iter].real() << " " << values_out[iter].imag() << " " << results[iter].real() << " " << results[iter].imag() << endl; + + REQUIRE_THAT(values_out[iter].real(), WithinAbsMatcher(results[iter].real(), abs_margin)); + REQUIRE_THAT(values_out[iter].imag(), WithinAbsMatcher(results[iter].imag(), abs_margin)); + } + FILE.close(); + + // Compare the results file with the golden results + // int retval = 0; + // Return 0 if the test passed + } +} + +TEST_CASE("ROM-based Cordic works with AP-Types", "[CORDIC]") { + constexpr unsigned n_lines = 100000; + + SECTION("W:16 - I:4 - Stages:6 - q:64") { + typedef CCordicRotateRomHalfPi<16, 4, 6, 64> cordic_rom; + + string input_fn = "../data/input.dat"; + + constexpr double rotation = cordic_rom::rom_cordic.rotation; + constexpr double q = cordic_rom::rom_cordic.q; + constexpr uint64_t cnt_mask = 0xFF; // Value dependant of the way the ROM is initialized + + constexpr unsigned Out_W = cordic_rom::Out_W; + constexpr unsigned In_W = cordic_rom::In_W; + + ap_int values_re_in[n_lines]; + ap_int values_im_in[n_lines]; + ap_int values_re_out[n_lines]; + ap_int values_im_out[n_lines]; + + double results_re[n_lines]; + double results_im[n_lines]; + + ofstream out_stream; + + ifstream INPUT(input_fn); + + // Init test vector + for (unsigned i = 0; i < n_lines; i++) { + double a, b, r; + INPUT >> a >> b >> r; + + const complex c {a, b}; + values_re_in[i] = int64_t(a * double(cordic_rom::in_scale_factor)); + values_im_in[i] = int64_t(b * double(cordic_rom::in_scale_factor)); + + const complex e = c * exp(complex(0., rotation / q * (i & cnt_mask))); + results_re[i] = e.real(); + results_im[i] = e.imag(); + } + + INPUT.close(); + + // Save the results to a file + out_stream.open("results_ap.dat"); + FILE * romf = fopen("rom.dat", "w"); + + constexpr cordic_rom cordic {}; + + constexpr double abs_margin = double(1 << cordic.Out_I) * 2. / 100.; + + // Executing the encoder + for (unsigned iter = 0; iter < n_lines; iter++) { + // Execute + const uint8_t counter = uint8_t(iter & cnt_mask); + + if (iter < cnt_mask + 1) + fprintf(romf, "%03d\n", (uint16_t) cordic.rom_cordic.rom[counter]); + + cordic.cordic( + values_re_in[iter], values_im_in[iter], + counter, + values_re_out[iter], values_im_out[iter]); + + // Display the results + // cout << "Series " << iter; + // cout << " Outcome: "; + + out_stream << values_re_out[iter].to_int64() << " " << values_im_out[iter].to_int64() << " " << results_re[iter] << " " << results_im[iter] << endl; + + REQUIRE_THAT(values_re_out[iter].to_double() * 5. / 8. / cordic_rom::out_scale_factor, WithinAbsMatcher(results_re[iter], abs_margin)); + REQUIRE_THAT(values_im_out[iter].to_double() * 5. / 8. / cordic_rom::out_scale_factor, WithinAbsMatcher(results_im[iter], abs_margin)); + } + out_stream.close(); + fclose(romf); + + // Compare the results file with the golden results + // int retval = 0; + // Return 0 if the test passed + } + + SECTION("W:16 - I:4 - Stages:6 - q:64 - internal scaling") { + typedef CCordicRotateRomHalfPi<16, 4, 6, 64> cordic_rom; + + string input_fn = "../data/input.dat"; + + constexpr double rotation = cordic_rom::rom_cordic.rotation; + constexpr double q = cordic_rom::rom_cordic.q; + constexpr uint64_t cnt_mask = 0xFF; // Value dependant of the way the ROM is initialized + + constexpr unsigned Out_W = cordic_rom::Out_W; + constexpr unsigned In_W = cordic_rom::In_W; + + ap_int values_re_in[n_lines]; + ap_int values_im_in[n_lines]; + ap_int values_re_out[n_lines]; + ap_int values_im_out[n_lines]; + + double results_re[n_lines]; + double results_im[n_lines]; + + ofstream out_stream; + + ifstream INPUT(input_fn); + + // Init test vector + for (unsigned i = 0; i < n_lines; i++) { + double a, b, r; + INPUT >> a >> b >> r; + + const complex c {a, b}; + values_re_in[i] = int64_t(a * double(cordic_rom::in_scale_factor)); + values_im_in[i] = int64_t(b * double(cordic_rom::in_scale_factor)); + + const complex e = c * exp(complex(0., rotation / q * (i & cnt_mask))); + results_re[i] = e.real(); + results_im[i] = e.imag(); + } + + INPUT.close(); + + // Save the results to a file + out_stream.open("results_ap.dat"); + FILE * romf = fopen("rom.dat", "w"); + + constexpr cordic_rom cordic {}; + + constexpr double abs_margin = double(1 << cordic.Out_I) * 2. / 100.; + + // Executing the encoder + for (unsigned iter = 0; iter < n_lines; iter++) { + // Execute + const uint8_t counter = uint8_t(iter & cnt_mask); + + if (iter < cnt_mask + 1) + fprintf(romf, "%03d\n", (uint16_t) cordic.rom_cordic.rom[counter]); + + cordic.cordic( + values_re_in[iter], values_im_in[iter], + counter, + values_re_out[iter], values_im_out[iter]); + + // Display the results + // cout << "Series " << iter; + // cout << " Outcome: "; + + out_stream << values_re_out[iter].to_int64() << " " << values_im_out[iter].to_int64() << " " << results_re[iter] << " " << results_im[iter] << endl; + + REQUIRE_THAT(cordic_rom::scale_cordic(values_re_out[iter]).to_double() / cordic_rom::out_scale_factor, + WithinAbsMatcher(results_re[iter], + abs_margin)); + REQUIRE_THAT(cordic_rom::scale_cordic(values_im_out[iter]).to_double() / cordic_rom::out_scale_factor, + WithinAbsMatcher(results_im[iter], + abs_margin)); + } + out_stream.close(); + fclose(romf); + + // Compare the results file with the golden results + // int retval = 0; + // Return 0 if the test passed + } +}