From a43ff1f98e9b9814f858bccb11c174b418458491 Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Wed, 10 Oct 2018 21:45:32 -0400 Subject: big rearrangement of files to make libraries and example (research) files clearer, and changed to c++ std lib random numbers --- examples/src/models/On/CMakeLists.txt | 29 ++++ examples/src/models/On/orthogonal.hpp | 202 +++++++++++++++++++++++++ examples/src/models/On/vector.hpp | 118 +++++++++++++++ examples/src/models/On/wolff_On.cpp | 268 ++++++++++++++++++++++++++++++++++ 4 files changed, 617 insertions(+) create mode 100644 examples/src/models/On/CMakeLists.txt create mode 100644 examples/src/models/On/orthogonal.hpp create mode 100644 examples/src/models/On/vector.hpp create mode 100644 examples/src/models/On/wolff_On.cpp (limited to 'examples/src/models/On') diff --git a/examples/src/models/On/CMakeLists.txt b/examples/src/models/On/CMakeLists.txt new file mode 100644 index 0000000..26985b9 --- /dev/null +++ b/examples/src/models/On/CMakeLists.txt @@ -0,0 +1,29 @@ + +add_executable(wolff_planar wolff_On.cpp) +add_executable(wolff_planar_2d_no-field wolff_On.cpp) +add_executable(wolff_heisenberg wolff_On.cpp) + +set_target_properties(wolff_planar PROPERTIES COMPILE_FLAGS "-DN_COMP=2") +set_target_properties(wolff_planar_2d_no-field PROPERTIES COMPILE_FLAGS "-DN_COMP=2 -DDIMENSION=2 -DNOFIELD") +set_target_properties(wolff_heisenberg PROPERTIES COMPILE_FLAGS "-DN_COMP=3") + +find_library(GL NAMES GL) +find_library(GLU NAMES GLU) +find_library(GLUT NAMES glut) + +if (${GLUT} MATCHES "GLUT-NOTFOUND") + target_link_libraries(wolff_planar wolff wolff_examples) + target_link_libraries(wolff_planar_2d_no-field wolff wolff_examples) + target_link_libraries(wolff_heisenberg wolff wolff_examples) +else() + target_compile_definitions(wolff_planar PUBLIC HAVE_GLUT) + target_compile_definitions(wolff_planar_2d_no-field PUBLIC HAVE_GLUT) + target_compile_definitions(wolff_heisenberg PUBLIC HAVE_GLUT) + + target_link_libraries(wolff_planar wolff wolff_examples glut GL GLU) + target_link_libraries(wolff_planar_2d_no-field wolff wolff_examples glut GL GLU) + target_link_libraries(wolff_heisenberg wolff wolff_examples glut GL GLU) +endif() + +install(TARGETS wolff_planar wolff_planar_2d_no-field wolff_heisenberg DESTINATION ${CMAKE_INSTALL_BINDIR}) + diff --git a/examples/src/models/On/orthogonal.hpp b/examples/src/models/On/orthogonal.hpp new file mode 100644 index 0000000..f13357f --- /dev/null +++ b/examples/src/models/On/orthogonal.hpp @@ -0,0 +1,202 @@ + +#pragma once + +#include +#include +#include + +#include +#include +#include "vector.hpp" + +template +class orthogonal_t : public std::array, q> { + public : + bool is_reflection; + + orthogonal_t() : is_reflection(false) { + for (q_t i = 0; i < q; i++) { + (*this)[i].fill(0); + (*this)[i][i] = (T)1; + } + } + + vector_t act(const vector_t & v) const { + vector_t v_rot; + v_rot.fill(0); + + if (is_reflection) { + double prod = 0; + for (q_t i = 0; i < q; i++) { + prod += v[i] * (*this)[0][i]; + } + for (q_t i = 0; i < q; i++) { + v_rot[i] = v[i] - 2 * prod * (*this)[0][i]; + } + } else { + for (q_t i = 0; i < q; i++) { + for (q_t j = 0; j < q; j++) { + v_rot[i] += (*this)[i][j] * v[j]; + } + } + } + + return v_rot; + } + + orthogonal_t act(const orthogonal_t & m) const { + orthogonal_t m_rot; + + m_rot.is_reflection = false; + + if (is_reflection) { + for (q_t i = 0; i < q; i++) { + double akOki = 0; + + for (q_t k = 0; k < q; k++) { + akOki += (*this)[0][k] * m[k][i]; + } + + for (q_t j = 0; j < q; j++) { + m_rot[j][i] = m[j][i] - 2 * akOki * (*this)[0][j]; + } + } + } else { + for (q_t i = 0; i < q; i++) { + m_rot[i].fill(0); + for (q_t j = 0; j < q; j++) { + for (q_t k = 0; k < q; k++) { + m_rot[i][j] += (*this)[i][j] * m[j][k]; + } + } + } + } + + return m_rot; + } + + vector_t act_inverse(const vector_t & v) const { + if (is_reflection) { + return this->act(v); // reflections are their own inverse + } else { + vector_t v_rot; + v_rot.fill(0); + + for (q_t i = 0; i < q; i++) { + for (q_t j = 0; j < q; j++) { + v_rot[i] += (*this)[j][i] * v[j]; + } + } + + return v_rot; + } + } + + vector_t act_inverse(const orthogonal_t & m) const { + if (is_reflection) { + return this->act(m); // reflections are their own inverse + } else { + orthogonal_t m_rot; + m_rot.is_reflection = false; + + for (q_t i = 0; i < q; i++) { + m_rot[i].fill(0); + for (q_t j = 0; j < q; j++) { + for (q_t k = 0; k < q; k++) { + m_rot[i][j] += (*this)[j][i] * m[j][k]; + } + } + } + + return m_rot; + } + } + +}; + + +template +orthogonal_t generate_rotation_uniform (std::mt19937& r, const vector_t & v) { + std::normal_distribution dist(0.0,1.0); + orthogonal_t ptr; + ptr.is_reflection = true; + + double v2 = 0; + + for (q_t i = 0; i < q; i++) { + ptr[0][i] = dist(r); + v2 += ptr[0][i] * ptr[0][i]; + } + + double mag_v = sqrt(v2); + + for (q_t i = 0; i < q; i++) { + ptr[0][i] /= mag_v; + } + + return ptr; +} + +template +orthogonal_t generate_rotation_perturbation (std::mt19937& r, const vector_t & v0, double epsilon, unsigned int n) { + std::normal_distribution dist(0.0,1.0); + orthogonal_t m; + m.is_reflection = true; + + vector_t v; + + if (n > 1) { + std::uniform_int_distribution udist(0, n); + unsigned int rotation = udist(r); + + double cosr = cos(2 * M_PI * rotation / (double)n / 2.0); + double sinr = sin(2 * M_PI * rotation / (double)n / 2.0); + + v[0] = v0[0] * cosr - v0[1] * sinr; + v[1] = v0[1] * cosr + v0[0] * sinr; + + for (q_t i = 2; i < q; i++) { + v[i] = v0[i]; + } + } else { + v = v0; + } + + double m_dot_v = 0; + + for (q_t i = 0; i < q; i++) { + m[0][i] = dist(r); // create a random vector + m_dot_v += m[0][i] * v[i]; + } + + double v2 = 0; + + for (q_t i = 0; i < q; i++) { + m[0][i] = m[0][i] - m_dot_v * v[i]; // find the component orthogonal to v + v2 += pow(m[0][i], 2); + } + + double mag_v = sqrt(v2); + + for (q_t i = 0; i < q; i++) { + m[0][i] /= mag_v; // normalize + } + + v2 = 0; + + double factor = epsilon * dist(r); + + for (q_t i = 0; i < q; i++) { + m[0][i] += factor * v[i]; // perturb orthogonal vector in original direction + v2 += pow(m[0][i], 2); + } + + mag_v = sqrt(v2); + + for (q_t i = 0; i < q; i++) { + m[0][i] /= mag_v; // normalize + } + + return m; +} + diff --git a/examples/src/models/On/vector.hpp b/examples/src/models/On/vector.hpp new file mode 100644 index 0000000..1cdb60a --- /dev/null +++ b/examples/src/models/On/vector.hpp @@ -0,0 +1,118 @@ + +#pragma once + +#include +#include +#include + +#include + +template +class vector_t : public std::array { + public: + + // M_t needs to hold the sum of nv spins + typedef vector_t M_t; + + // F_t needs to hold the double-weighted sum of spins + typedef vector_t F_t; + + vector_t() { + this->fill((T)0); + (*this)[1] = (T)1; + } + + vector_t(const T *x) { + for (q_t i = 0; i < q; i++) { + (*this)[i] = x[i]; + } + } + + template + inline vector_t& operator+=(const vector_t &v) { + for (q_t i = 0; i < q; i++) { + (*this)[i] += (U)v[i]; + } + return *this; + } + + template + inline vector_t& operator-=(const vector_t &v) { + for (q_t i = 0; i < q; i++) { + (*this)[i] -= (U)v[i]; + } + return *this; + } + + inline vector_t operator*(v_t x) const { + vector_t result; + for (q_t i = 0; i < q; i++) { + result[i] = x * (*this)[i]; + } + + return result; + } + + inline vector_t operator*(double x) const { + vector_t result; + for (q_t i = 0; i < q; i++) { + result[i] = x * (*this)[i]; + } + + return result; + } + + inline vector_t operator-(const vector_t& v) const { + vector_t diff = *this; + diff -= v; + return diff; + } +}; + + +template +double norm_squared(vector_t v) { + double tmp = 0; + for (T &x : v) { + tmp += pow(x, 2); + } + + return tmp; +} + +template +void write_magnetization(vector_t M, FILE *outfile) { + for (q_t i = 0; i < q; i++) { + fwrite(&(M[i]), sizeof(T), q, outfile); + } +} + +// below functions and definitions are unnecessary for wolff.h but useful. + +template // save some space and don't write whole doubles +void write_magnetization(vector_t M, FILE *outfile) { + for (q_t i = 0; i < q; i++) { + float M_tmp = (float)M[i]; + fwrite(&M_tmp, sizeof(float), 1, outfile); + } +} + +template +T dot(const vector_t & v1, const vector_t & v2) { + T prod = 0; + + for (q_t i = 0; i < q; i++) { + prod += v1[i] * v2[i]; + } + + return prod; +} + +template +double H_vector(const vector_t & v1, T *H) { + vector_t H_vec(H); + return (double)(dot (v1, H_vec)); +} + +char const *ON_strings[] = {"TRIVIAL", "ISING", "PLANAR", "HEISENBERG"}; + diff --git a/examples/src/models/On/wolff_On.cpp b/examples/src/models/On/wolff_On.cpp new file mode 100644 index 0000000..e3568c7 --- /dev/null +++ b/examples/src/models/On/wolff_On.cpp @@ -0,0 +1,268 @@ + +#include +#include + +#ifdef HAVE_GLUT +#include +#endif + +#include "orthogonal.hpp" +#include "vector.hpp" + +#include +#include +#include +#include + +typedef orthogonal_t orthogonal_R_t; +typedef vector_t vector_R_t; +typedef state_t On_t; + +// angle from the x-axis of a two-vector +double theta(vector_R_t v) { + double x = v[0]; + double y = v[1]; + + double val = atan(y / x); + + if (x < 0.0 && y > 0.0) { + return M_PI + val; + } else if ( x < 0.0 && y < 0.0 ) { + return - M_PI + val; + } else { + return val; + } +} + +double H_modulated(vector_R_t v, int order, double mag) { + return mag * cos(order * theta(v)); +} + +int main(int argc, char *argv[]) { + + count_t N = (count_t)1e7; + +#ifdef DIMENSION + D_t D = DIMENSION; +#else + D_t D = 2; +#endif + L_t L = 128; + double T = 2.26918531421; + double *H_vec = (double *)calloc(MAX_Q, sizeof(double)); + + bool silent = false; + bool use_pert = false; + bool N_is_sweeps = false; + bool draw = false; + unsigned int window_size = 512; + + bool modulated_field = false; + unsigned int order = 1; + + int opt; + q_t H_ind = 0; + double epsilon = 1; + +// unsigned char measurement_flags = measurement_energy | measurement_clusterSize; + + unsigned char measurement_flags = 0; + + while ((opt = getopt(argc, argv, "N:D:L:T:H:spe:mo:M:Sdw:")) != -1) { + switch (opt) { + case 'N': // number of steps + N = (count_t)atof(optarg); + break; +#ifdef DIMENSION + case 'D': // dimension + printf("Dimension was specified at compile time, you can't change it now!\n"); + exit(EXIT_FAILURE); +#else + case 'D': // dimension + D = atoi(optarg); + break; +#endif + case 'L': // linear size + L = atoi(optarg); + break; + case 'T': // temperature + T = atof(optarg); + break; + case 'H': // external field. nth call couples to state n + H_vec[H_ind] = atof(optarg); + H_ind++; + break; + case 's': // don't print anything during simulation. speeds up slightly + silent = true; + break; + case 'p': + use_pert = true; + break; + case 'e': + epsilon = atof(optarg); + break; + case 'm': + modulated_field = true; + break; + case 'M': + measurement_flags ^= 1 << atoi(optarg); + break; + case 'o': + order = atoi(optarg); + break; + case 'S': + N_is_sweeps = true; + break; + case 'd': +#ifdef HAVE_GLUT + draw = true; + break; +#else + printf("You didn't compile this with the glut library installed!\n"); + exit(EXIT_FAILURE); +#endif + case 'w': + window_size = atoi(optarg); + break; + default: + exit(EXIT_FAILURE); + } + } + + unsigned long timestamp; + + { + struct timespec spec; + clock_gettime(CLOCK_REALTIME, &spec); + timestamp = spec.tv_sec*1000000000LL + spec.tv_nsec; + } + + const char *pert_type; + + std::function gen_R; + + if (use_pert) { + double Hish; + if (modulated_field) { + Hish = fabs(H_vec[0]); + } else { + double H2 = 0; + for (q_t i = 0; i < N_COMP; i++) { + H2 += pow(H_vec[i], 2); + } + Hish = sqrt(H2); + } + + epsilon = sqrt((N_COMP - 1) * T / (D + Hish / 2)) / 2; + + gen_R = std::bind(generate_rotation_perturbation , std::placeholders::_1, std::placeholders::_2, epsilon, order); + pert_type = "PERTURB5"; + } else { + gen_R = generate_rotation_uniform ; + pert_type = "UNIFORM"; + } + + FILE *outfile_info = fopen("wolff_metadata.txt", "a"); + + fprintf(outfile_info, "<| \"ID\" -> %lu, \"MODEL\" -> \"%s\", \"q\" -> %d, \"D\" -> %" PRID ", \"L\" -> %" PRIL ", \"NV\" -> %" PRIv ", \"NE\" -> %" PRIv ", \"T\" -> %.15f, \"FIELD_TYPE\" -> ", timestamp, ON_strings[N_COMP], N_COMP, D, L, (v_t)pow(L, D), D * (v_t)pow(L, D), T); + if (modulated_field) { + fprintf(outfile_info, "\"MODULATED\", \"ORDER\" -> %d, \"H\" -> %.15f, ", order, H_vec[0]); + } else { + fprintf(outfile_info, "\"VECTOR\", \"H\" -> {"); + for (q_t i = 0; i < N_COMP; i++) { + fprintf(outfile_info, "%.15f", H_vec[i]); + if (i < N_COMP - 1) { + fprintf(outfile_info, ", "); + } + } + fprintf(outfile_info, "}, "); + } + + fprintf(outfile_info, "\"GENERATOR\" -> \"%s\"", pert_type); + + if (use_pert) { + fprintf(outfile_info, ", \"EPS\" -> %g", epsilon); + } + + fprintf(outfile_info, " |>\n"); + + fclose(outfile_info); + + FILE **outfiles = measure_setup_files(measurement_flags, timestamp); + + std::function other_f; + uint64_t sum_of_clusterSize = 0; + + if (N_is_sweeps) { + other_f = [&] (const On_t& s) { + sum_of_clusterSize += s.last_cluster_size; + }; + } else if (draw) { +#ifdef HAVE_GLUT + // initialize glut + glutInit(&argc, argv); + glutInitDisplayMode(GLUT_SINGLE | GLUT_RGB); + glutInitWindowSize(window_size, window_size); + glutCreateWindow("wolff"); + glClearColor(0.0,0.0,0.0,0.0); + glMatrixMode(GL_PROJECTION); + glLoadIdentity(); + gluOrtho2D(0.0, L, 0.0, L); + + other_f = [&] (const On_t& s) { + glClear(GL_COLOR_BUFFER_BIT); + for (v_t i = 0; i < pow(L, 2); i++) { + vector_R_t v_tmp = s.R.act_inverse(s.spins[i]); + double thetai = fmod(2 * M_PI + theta(v_tmp), 2 * M_PI); + double saturation = 0.7; + double value = 0.9; + double chroma = saturation * value; + glColor3f(chroma * hue_to_R(thetai) + (value - chroma), chroma * hue_to_G(thetai) + (value - chroma), chroma * hue_to_B(thetai) + (value - chroma)); + glRecti(i / L, i % L, (i / L) + 1, (i % L) + 1); + } + glFlush(); + }; +#endif + } else { + other_f = [] (const On_t& s) {}; + } + + std::function measurements = measure_function_write_files(measurement_flags, outfiles, other_f); + + std::function H; + + if (modulated_field) { + H = std::bind(H_modulated, std::placeholders::_1, order, H_vec[0]); + } else { + H = std::bind(H_vector , std::placeholders::_1, H_vec); + } + + // initialize random number generator + randutils::auto_seed_128 seeds; + std::mt19937 rng{seeds}; + +#ifndef NOFIELD + state_t s(D, L, T, dot , H); +#else + state_t s(D, L, T, dot ); +#endif + + if (N_is_sweeps) { + count_t N_rounds = 0; + printf("\n"); + while (sum_of_clusterSize < N * s.nv) { + printf("\033[F\033[J\033[F\033[JWOLFF: sweep %" PRIu64 " / %" PRIu64 ": E = %.2f, S = %" PRIv "\n", (count_t)((double)sum_of_clusterSize / (double)s.nv), N, s.E, s.last_cluster_size); + wolff (N, s, gen_R, measurements, rng, silent); + N_rounds++; + } + printf("\033[F\033[J\033[F\033[JWOLFF: sweep %" PRIu64 " / %" PRIu64 ": E = %.2f, S = %" PRIv "\n\n", (count_t)((double)sum_of_clusterSize / (double)s.nv), N, s.E, s.last_cluster_size); + } else { + wolff (N, s, gen_R, measurements, rng, silent); + } + + measure_free_files(measurement_flags, outfiles); + free(H_vec); + + return 0; +} + -- cgit v1.2.3-70-g09d2