forked from personal/squiggle.c
rework error as a macro
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@ -1,14 +1,26 @@
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#include <float.h> // FLT_MAX, FLT_MIN
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#include <limits.h> // INT_MAX
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#include <math.h> // erf, sqrt
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#include <float.h> // FLT_MAX, FLT_MIN
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#include <limits.h> // INT_MAX
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#include <math.h> // erf, sqrt
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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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#define EXIT_ON_ERROR 0
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#define MAX_ERROR_LENGTH 500
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#define PROCESS_ERROR(...) \
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do { \
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if (EXIT_ON_ERROR) { \
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printf("@, in %s (%d)", __FILE__, __LINE__); \
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exit(1); \
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} else { \
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char error_msg[MAX_ERROR_LENGTH]; \
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snprintf(error_msg, MAX_ERROR_LENGTH, "@, in %s (%d)", __FILE__, __LINE__); \
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struct box error = { .empty = 1, .error_msg = error_msg }; \
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return error; \
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} \
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} while (0)
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// Errors
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struct box {
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int empty;
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float content;
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@ -76,16 +88,7 @@ struct box inverse_cdf(float cdf(float), float p)
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}
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if (!interval_found) {
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if (EXIT_ON_ERROR) {
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printf("Interval containing the target value not found, in function inverse_cdf, in %s (%d)", __FILE__, __LINE__);
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exit(1);
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} else {
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char error_msg[200];
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snprintf(error_msg, 200, "Interval containing the target value not found in function inverse_cdf, in %s (%d)", __FILE__, __LINE__);
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result.empty = 1;
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result.error_msg = error_msg;
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return result;
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}
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PROCESS_ERROR("Interval containing the target value not found, in function inverse_cdf");
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} else {
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int convergence_condition = 0;
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@ -114,22 +117,93 @@ struct box inverse_cdf(float cdf(float), float p)
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result.content = low;
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result.empty = 0;
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} else {
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if (EXIT_ON_ERROR) {
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printf("Search process did not converge, in function inverse_cdf, in %s (%d)", __FILE__, __LINE__);
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exit(1);
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} else {
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char error_msg[200];
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snprintf(error_msg, 200, "Search process did not converge, in function inverse_cdf, in %s (%d)", __FILE__, __LINE__);
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result.empty = 1;
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result.error_msg = error_msg;
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return result;
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}
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PROCESS_ERROR("Search process did not converge, in function inverse_cdf");
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}
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return result;
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}
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}
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// Inverse cdf at point, but this time taking a struct box.
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struct box inverse_cdf_box(struct box cdf_box(float), float p)
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{
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// given a cdf: [-Inf, Inf] => Box([0,1])
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// returns a box with either
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// x such that cdf(x) = p
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// or an error
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// if EXIT_ON_ERROR is set to 1, it exits instead of providing an error
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struct box result;
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float low = -1.0;
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float high = 1.0;
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// 1. Make sure that cdf(low) < p < cdf(high)
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int interval_found = 0;
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while ((!interval_found) && (low > -FLT_MAX / 4) && (high < FLT_MAX / 4)) {
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// ^ Using FLT_MIN and FLT_MAX is overkill
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// but it's also the *correct* thing to do.
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struct box cdf_low = cdf_box(low);
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if(cdf_low.empty){
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PROCESS_ERROR(cdf_low.error_msg);
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}
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struct box cdf_high=cdf_box(high);
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if(cdf_high.empty){
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PROCESS_ERROR(cdf_low.error_msg);
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}
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int low_condition = (cdf_low.content < p);
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int high_condition = (p < cdf_high.content);
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if (low_condition && high_condition) {
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interval_found = 1;
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} else if (!low_condition) {
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low = low * 2;
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} else if (!high_condition) {
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high = high * 2;
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}
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}
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if (!interval_found) {
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PROCESS_ERROR("Interval containing the target value not found, in function inverse_cdf");
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} else {
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int convergence_condition = 0;
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int count = 0;
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while (!convergence_condition && (count < (INT_MAX / 2))) {
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float mid = (high + low) / 2;
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int mid_not_new = (mid == low) || (mid == high);
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// float width = high - low;
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if (mid_not_new) {
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// if ((width < 1e-8) || mid_not_new){
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convergence_condition = 1;
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} else {
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struct box cdf_mid = cdf_box(mid);
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if(cdf_mid.empty){
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PROCESS_ERROR(cdf_mid.error_msg);
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}
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float mid_sign = cdf_mid.content - p;
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if (mid_sign < 0) {
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low = mid;
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} else if (mid_sign > 0) {
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high = mid;
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} else if (mid_sign == 0) {
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low = mid;
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high = mid;
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}
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}
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}
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if (convergence_condition) {
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result.content = low;
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result.empty = 0;
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return result;
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} else {
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PROCESS_ERROR("Search process did not converge, in function inverse_cdf");
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}
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}
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}
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// Get random number between 0 and 1
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uint32_t xorshift32(uint32_t* seed)
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{
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@ -211,16 +285,7 @@ struct box incbeta(float a, float b, float x)
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struct box result;
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if (x < 0.0 || x > 1.0) {
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if (EXIT_ON_ERROR) {
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printf("x = %f, x out of bounds [0, 1], in function incbeta, in %s (%d)", __FILE__, __LINE__);
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exit(1);
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} else {
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char error_msg[200];
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snprintf(error_msg, 200, "x = %f, x out of bounds [0, 1], in function incbeta, in %s (%d)", x, __FILE__, __LINE__);
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result.empty = 1;
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result.error_msg = error_msg;
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return result;
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}
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PROCESS_ERROR("x out of bounds [0, 1], in function incbeta");
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}
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/*The continued fraction converges nicely for x < (a+1)/(a+b+2)*/
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@ -276,16 +341,7 @@ struct box incbeta(float a, float b, float x)
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}
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}
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if (EXIT_ON_ERROR) {
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printf("More loops needed, did not converge, in function incbeta, in %s (%d)", __FILE__, __LINE__);
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exit(1);
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} else {
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char error_msg[200];
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snprintf(error_msg, 200, "More loops needed, did not converge, in function incbeta, in %s (%d)", __FILE__, __LINE__);
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result.empty = 1;
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result.error_msg = error_msg;
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return result;
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}
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PROCESS_ERROR("More loops needed, did not converge, in function incbeta");
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}
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struct box cdf_beta(float x)
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@ -412,6 +468,6 @@ int main()
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}
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clock_t end_3 = clock();
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float time_spent_3 = (float)(end_3 - begin_3) / CLOCKS_PER_SEC;
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printf("Time spent: %f", time_spent_3);
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printf("Time spent: %f\n", time_spent_3);
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return 0;
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}
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