divide simple and complex examples into two different examples.
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examples/04_sample_from_cdf_simple/example
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examples/04_sample_from_cdf_simple/example
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examples/04_sample_from_cdf_simple/example.c
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examples/04_sample_from_cdf_simple/example.c
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#include <math.h>
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#include <stdint.h>
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#include <stdio.h>
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#include <stdlib.h>
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#include <time.h>
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#include "../../squiggle.h"
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#define NUM_SAMPLES 1000000
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// Example cdf
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float cdf_uniform_0_1(float x)
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{
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if (x < 0) {
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return 0;
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} else if (x > 1) {
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return 1;
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} else {
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return x;
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}
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}
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float cdf_squared_0_1(float x)
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{
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if (x < 0) {
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return 0;
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} else if (x > 1) {
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return 1;
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} else {
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return x * x;
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}
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}
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float cdf_normal_0_1(float x)
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{
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float mean = 0;
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float std = 1;
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return 0.5 * (1 + erf((x - mean) / (std * sqrt(2)))); // erf from math.h
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}
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// Some testers
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void test_inverse_cdf_float(char* cdf_name, float cdf_float(float))
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{
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struct box result = inverse_cdf_float(cdf_float, 0.5);
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if (result.empty) {
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printf("Inverse for %s not calculated\n", cdf_name);
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exit(1);
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} else {
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printf("Inverse of %s at %f is: %f\n", cdf_name, 0.5, result.content);
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}
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}
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void test_and_time_sampler_float(char* cdf_name, float cdf_float(float), uint32_t* seed)
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{
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printf("\nGetting some samples from %s:\n", cdf_name);
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clock_t begin = clock();
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for (int i = 0; i < NUM_SAMPLES; i++) {
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struct box sample = sampler_float_cdf(cdf_float, seed);
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if (sample.empty) {
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printf("Error in sampler function for %s", cdf_name);
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} else {
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// printf("%f\n", sample.content);
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}
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}
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clock_t end = clock();
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float time_spent = (float)(end - begin) / CLOCKS_PER_SEC;
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printf("Time spent: %f\n", time_spent);
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}
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int main()
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{
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// Test inverse cdf float
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test_inverse_cdf_float("cdf_uniform_0_1", cdf_uniform_0_1);
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test_inverse_cdf_float("cdf_squared_0_1", cdf_squared_0_1);
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test_inverse_cdf_float("cdf_normal_0_1", cdf_normal_0_1);
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// Testing samplers
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// set randomness seed
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uint32_t* seed = malloc(sizeof(uint32_t));
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*seed = 1000; // xorshift can't start with 0
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// Test float sampler
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test_and_time_sampler_float("cdf_uniform_0_1", cdf_uniform_0_1, seed);
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test_and_time_sampler_float("cdf_squared_0_1", cdf_squared_0_1, seed);
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test_and_time_sampler_float("cdf_normal_0_1", cdf_normal_0_1, seed);
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// Get some normal samples using a previous approach
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printf("\nGetting some samples from unit_normal\n");
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clock_t begin_2 = clock();
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for (int i = 0; i < NUM_SAMPLES; i++) {
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float normal_sample = unit_normal(seed);
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// printf("%f\n", normal_sample);
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}
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clock_t end_2 = clock();
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float time_spent_2 = (float)(end_2 - begin_2) / CLOCKS_PER_SEC;
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printf("Time spent: %f\n", time_spent_2);
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free(seed);
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return 0;
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}
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examples/05_sample_from_cdf_beta/example
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examples/05_sample_from_cdf_beta/example
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#include <math.h> // erf, sqrt
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#include <math.h>
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#include <stdint.h>
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#include <stdint.h>
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#include <stdio.h>
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#include <stdio.h>
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#include <stdlib.h>
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#include <stdlib.h>
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#define STOP_BETA 1.0e-8
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#define STOP_BETA 1.0e-8
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#define TINY_BETA 1.0e-30
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#define TINY_BETA 1.0e-30
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// Example cdf
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// Incomplete beta function
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float cdf_uniform_0_1(float x)
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{
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if (x < 0) {
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return 0;
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} else if (x > 1) {
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return 1;
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} else {
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return x;
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}
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}
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float cdf_squared_0_1(float x)
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{
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if (x < 0) {
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return 0;
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} else if (x > 1) {
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return 1;
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} else {
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return x * x;
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}
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}
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float cdf_normal_0_1(float x)
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{
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float mean = 0;
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float std = 1;
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return 0.5 * (1 + erf((x - mean) / (std * sqrt(2)))); // erf from math.h
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}
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struct box incbeta(float a, float b, float x)
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struct box incbeta(float a, float b, float x)
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{
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{
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// Descended from <https://github.com/codeplea/incbeta/blob/master/incbeta.c>,
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// Descended from <https://github.com/codeplea/incbeta/blob/master/incbeta.c>,
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}
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}
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// Some testers
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// Some testers
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void test_inverse_cdf_float(char* cdf_name, float cdf_float(float))
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{
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struct box result = inverse_cdf_float(cdf_float, 0.5);
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if (result.empty) {
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printf("Inverse for %s not calculated\n", cdf_name);
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exit(1);
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} else {
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printf("Inverse of %s at %f is: %f\n", cdf_name, 0.5, result.content);
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}
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}
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void test_inverse_cdf_box(char* cdf_name, struct box cdf_box(float))
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void test_inverse_cdf_box(char* cdf_name, struct box cdf_box(float))
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{
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{
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struct box result = inverse_cdf_box(cdf_box, 0.5);
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struct box result = inverse_cdf_box(cdf_box, 0.5);
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}
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}
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}
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}
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void test_and_time_sampler_float(char* cdf_name, float cdf_float(float), uint32_t* seed)
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{
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printf("\nGetting some samples from %s:\n", cdf_name);
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clock_t begin = clock();
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for (int i = 0; i < NUM_SAMPLES; i++) {
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struct box sample = sampler_float_cdf(cdf_float, seed);
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if (sample.empty) {
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printf("Error in sampler function for %s", cdf_name);
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} else {
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// printf("%f\n", sample.content);
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}
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}
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clock_t end = clock();
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float time_spent = (float)(end - begin) / CLOCKS_PER_SEC;
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printf("Time spent: %f\n", time_spent);
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}
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void test_and_time_sampler_box(char* cdf_name, struct box cdf_box(float), uint32_t* seed)
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void test_and_time_sampler_box(char* cdf_name, struct box cdf_box(float), uint32_t* seed)
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{
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{
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printf("\nGetting some samples from %s:\n", cdf_name);
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printf("\nGetting some samples from %s:\n", cdf_name);
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int main()
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int main()
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{
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{
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// Test inverse cdf float
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test_inverse_cdf_float("cdf_uniform_0_1", cdf_uniform_0_1);
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test_inverse_cdf_float("cdf_squared_0_1", cdf_squared_0_1);
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test_inverse_cdf_float("cdf_normal_0_1", cdf_normal_0_1);
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// Test inverse cdf box
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// Test inverse cdf box
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test_inverse_cdf_box("cdf_beta", cdf_beta);
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test_inverse_cdf_box("cdf_beta", cdf_beta);
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// Testing samplers
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// Test box sampler
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// set randomness seed
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uint32_t* seed = malloc(sizeof(uint32_t));
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uint32_t* seed = malloc(sizeof(uint32_t));
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*seed = 1000; // xorshift can't start with 0
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*seed = 1000; // xorshift can't start with 0
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// Test float sampler
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test_and_time_sampler_float("cdf_uniform_0_1", cdf_uniform_0_1, seed);
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test_and_time_sampler_float("cdf_squared_0_1", cdf_squared_0_1, seed);
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test_and_time_sampler_float("cdf_normal_0_1", cdf_normal_0_1, seed);
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// Get some normal samples using a previous approach
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printf("\nGetting some samples from unit_normal\n");
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clock_t begin_2 = clock();
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for (int i = 0; i < NUM_SAMPLES; i++) {
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float normal_sample = unit_normal(seed);
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// printf("%f\n", normal_sample);
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}
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clock_t end_2 = clock();
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float time_spent_2 = (float)(end_2 - begin_2) / CLOCKS_PER_SEC;
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printf("Time spent: %f\n", time_spent_2);
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// Test box sampler
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test_and_time_sampler_box("cdf_beta", cdf_beta, seed);
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test_and_time_sampler_box("cdf_beta", cdf_beta, seed);
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// Ok, this is slower than python!!
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// Ok, this is slower than python!!
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// Partly this is because I am using a more general algorithm,
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// Partly this is because I am using a more general algorithm,
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// which applies to any cdf
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// which applies to any cdf
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// But I am also using really anal convergence conditions.
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// But I am also using absurdly precise convergence conditions.
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// This could be optimized.
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// This could be optimized.
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free(seed);
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free(seed);
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57
examples/05_sample_from_cdf_beta/makefile
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examples/05_sample_from_cdf_beta/makefile
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# Interface:
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# make
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# make build
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# make format
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# make run
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# Compiler
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CC=gcc # required for nested functions
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# CC=tcc # <= faster compilation
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# Main file
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SRC=example.c ../../squiggle.c
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OUTPUT=./example
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## Dependencies
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MATH=-lm
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DEPENDENCIES=$(MATH)
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# OPENMP=-fopenmp
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## Flags
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DEBUG= #'-g'
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STANDARD=-std=gnu99 ## allows for nested functions.
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EXTENSIONS= #-fnested-functions
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WARNINGS=-Wall
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OPTIMIZED=-O3#-Ofast
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CFLAGS=$(DEBUG) $(STANDARD) $(EXTENSIONS) $(WARNINGS) $(OPTIMIZED)
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## Formatter
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STYLE_BLUEPRINT=webkit
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FORMATTER=clang-format -i -style=$(STYLE_BLUEPRINT)
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## make build
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build: $(SRC)
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# gcc -std=gnu99 example.c -lm -o example
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$(CC) $(CFLAGS) $(SRC) $(DEPENDENCIES) -o $(OUTPUT)
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format: $(SRC)
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$(FORMATTER) $(SRC)
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run: $(SRC) $(OUTPUT)
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./$(OUTPUT) && echo
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time-linux:
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@echo "Requires /bin/time, found on GNU/Linux systems" && echo
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@echo "Running 100x and taking avg time $(OUTPUT)"
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@t=$$(/usr/bin/time -f "%e" -p bash -c 'for i in {1..100}; do $(OUTPUT); done' 2>&1 >/dev/null | grep real | awk '{print $$2}' ); echo "scale=2; 1000 * $$t / 100" | bc | sed "s|^|Time using 1 thread: |" | sed 's|$$|ms|' && echo
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## Profiling
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profile-linux:
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echo "Requires perf, which depends on the kernel version, and might be in linux-tools package or similar"
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echo "Must be run as sudo"
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$(CC) $(SRC) $(MATH) -o $(OUTPUT)
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sudo perf record $(OUTPUT)
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sudo perf report
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rm perf.data
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