reorg, refactor, recompile

This commit is contained in:
NunoSempere 2023-11-29 22:24:42 +00:00
parent 3e4360f930
commit 023c9f28ac
22 changed files with 141 additions and 146 deletions
examples
core
00_example_template
01_one_sample
02_time_to_botec
03_gcc_nested_function
04_gamma_beta
05_hundred_lognormals
more
00_example_template
01_sample_from_cdf
02_sample_from_cdf_beta
03_ci_beta
04_nuclear_war
05_burn_10kg_fat
06_nuclear_recovery
07_algebra
08_algebra_and_conversion
09_ergonomic_algebra
10_twitter_thread_example
11_billion_lognormals_paralell
12_time_to_botec_parallel
squiggle.csquiggle_more.csquiggle_more.h

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@ -8,7 +8,7 @@
#define NORMAL90CONFIDENCE 1.6448536269514727
// Pseudo Random number generator
uint64_t xorshift32(uint32_t* seed)
static uint64_t xorshift32(uint32_t* seed)
{
// Algorithm "xor" from p. 4 of Marsaglia, "Xorshift RNGs"
// See:
@ -24,7 +24,7 @@ uint64_t xorshift32(uint32_t* seed)
return *seed = x;
}
uint64_t xorshift64(uint64_t* seed)
static uint64_t xorshift64(uint64_t* seed)
{
// same as above, but for generating doubles instead of floats
uint64_t x = *seed;
@ -196,16 +196,6 @@ double array_std(double* array, int length)
return std;
}
void array_print(double xs[], int n)
{
printf("[");
for (int i = 0; i < n - 1; i++) {
printf("%f, ", xs[i]);
}
printf("%f", xs[n - 1]);
printf("]\n");
}
// Mixture function
double sample_mixture(double (*samplers[])(uint64_t*), double* weights, int n_dists, uint64_t* seed)
{

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@ -7,37 +7,56 @@
#include <stdlib.h>
#include "squiggle.h"
/* Math constants */
#define PI 3.14159265358979323846 // M_PI in gcc gnu99
#define NORMAL90CONFIDENCE 1.6448536269514727
/* Parallel sampler */
void parallel_sampler(double (*sampler)(uint64_t* seed), double* results, int n_threads, int n_samples){
if((n_samples % n_threads) != 0){
fprintf(stderr, "Number of samples isn't divisible by number of threads, aborting\n");
exit(1);
}
uint64_t** seeds = malloc(n_threads * sizeof(uint64_t*));
for (uint64_t i = 0; i < n_threads; i++) {
seeds[i] = malloc(sizeof(uint64_t));
*seeds[i] = i + 1; // xorshift can't start with 0
}
/* Some error niceties */
// These won't be used until later
#define MAX_ERROR_LENGTH 500
#define EXIT_ON_ERROR 0
#define PROCESS_ERROR(error_msg) process_error(error_msg, EXIT_ON_ERROR, __FILE__, __LINE__)
int i;
#pragma omp parallel private(i)
{
#pragma omp for
for (i = 0; i < n_threads; i++) {
int lower_bound = i * (n_samples / n_threads);
int upper_bound = ((i+1) * (n_samples / n_threads)) - 1;
// printf("Lower bound: %d, upper bound: %d\n", lower_bound, upper_bound);
for (int j = lower_bound; j < upper_bound; j++) {
results[j] = sampler(seeds[i]);
}
}
}
for (uint64_t i = 0; i < n_threads; i++) {
free(seeds[i]);
}
free(seeds);
}
/* Get confidence intervals, given a sampler */
// Not in core yet because I'm not sure how much I like the struct
// and the built-in 100k samples
// to do: add n to function parameters and document
typedef struct ci_t {
float low;
float high;
} ci;
typedef struct ci_searcher_t {
double num;
int remaining;
} ci_searcher;
void swp(int i, int j, double xs[])
static void swp(int i, int j, double xs[])
{
double tmp = xs[i];
xs[i] = xs[j];
xs[j] = tmp;
}
int partition(int low, int high, double xs[], int length)
static int partition(int low, int high, double xs[], int length)
{
// To understand this function:
// - see the note after gt variable definition
@ -56,8 +75,9 @@ int partition(int low, int high, double xs[], int length)
return gt;
}
double quickselect(int k, double xs[], int length)
static double quickselect(int k, double xs[], int length)
{
// https://en.wikipedia.org/wiki/Quickselect
int low = 0;
int high = length - 1;
for (;;) {
@ -75,37 +95,92 @@ double quickselect(int k, double xs[], int length)
}
}
ci get_90_confidence_interval(double (*sampler)(uint64_t*), uint64_t* seed)
{
int n = 100 * 1000;
double* samples_array = malloc(n * sizeof(double));
ci sampler_get_ci(double (*sampler)(uint64_t*), ci interval, int n, uint64_t* seed){
double* xs = malloc(n * sizeof(double));
for (int i = 0; i < n; i++) {
samples_array[i] = sampler(seed);
xs[i] = sampler(seed);
}
// 10% confidence interval: n/20, n - n/20
ci_searcher low = {.x = samples_array[0], .remaining = n/20) };
ci_searcher high = {.x = samples_array[0], .remaining = n-(n/20) };
// test with finding the lowest
for(int j=1; i<n; j++){
if(low.x > samples_array[i]){
low.x = samples_array[i];
}
}
int low_k = floor(interval.low * n);
int high_k = ceil(interval.high * n);
ci result = {
.low = samples_array[5000],
.high = samples_array[94999],
.low = quickselect(low_k, xs, n),
.high = quickselect(high_k, xs, n),
};
free(samples_array);
free(xs);
return result;
}
ci get_90_confidence_interval(double (*sampler)(uint64_t*), uint64_t* seed)
{
return sampler_get_ci(sampler, (ci) {.low = 0.05, .high = 0.95}, 1000000, seed);
}
/* Algebra manipulations */
// here I discover named structs,
// which mean that I don't have to be typing
// struct blah all the time.
#define NORMAL90CONFIDENCE 1.6448536269514727
typedef struct normal_params_t {
double mean;
double std;
} normal_params;
normal_params algebra_sum_normals(normal_params a, normal_params b)
{
normal_params result = {
.mean = a.mean + b.mean,
.std = sqrt((a.std * a.std) + (b.std * b.std)),
};
return result;
}
typedef struct lognormal_params_t {
double logmean;
double logstd;
} lognormal_params;
lognormal_params algebra_product_lognormals(lognormal_params a, lognormal_params b)
{
lognormal_params result = {
.logmean = a.logmean + b.logmean,
.logstd = sqrt((a.logstd * a.logstd) + (b.logstd * b.logstd)),
};
return result;
}
lognormal_params convert_ci_to_lognormal_params(ci x)
{
double loghigh = logf(x.high);
double loglow = logf(x.low);
double logmean = (loghigh + loglow) / 2.0;
double logstd = (loghigh - loglow) / (2.0 * NORMAL90CONFIDENCE);
lognormal_params result = { .logmean = logmean, .logstd = logstd };
return result;
}
ci convert_lognormal_params_to_ci(lognormal_params y)
{
double h = y.logstd * NORMAL90CONFIDENCE;
double loghigh = y.logmean + h;
double loglow = y.logmean - h;
ci result = { .low = exp(loglow), .high = exp(loghigh) };
return result;
}
/* Scaffolding to handle errors */
// We are building towards sample from an arbitrary cdf
// We will sample from an arbitrary cdf
// and that operation might fail
// so we build some scaffolding here
#define MAX_ERROR_LENGTH 500
#define EXIT_ON_ERROR 0
#define PROCESS_ERROR(error_msg) process_error(error_msg, EXIT_ON_ERROR, __FILE__, __LINE__)
struct box {
int empty;
double content;
@ -297,85 +372,15 @@ double sampler_cdf_danger(struct box cdf(double), uint64_t* seed)
}
}
/* Algebra manipulations */
// here I discover named structs,
// which mean that I don't have to be typing
// struct blah all the time.
typedef struct normal_params_t {
double mean;
double std;
} normal_params;
/* array print: potentially useful for debugging */
normal_params algebra_sum_normals(normal_params a, normal_params b)
void array_print(double xs[], int n)
{
normal_params result = {
.mean = a.mean + b.mean,
.std = sqrt((a.std * a.std) + (b.std * b.std)),
};
return result;
}
typedef struct lognormal_params_t {
double logmean;
double logstd;
} lognormal_params;
lognormal_params algebra_product_lognormals(lognormal_params a, lognormal_params b)
{
lognormal_params result = {
.logmean = a.logmean + b.logmean,
.logstd = sqrt((a.logstd * a.logstd) + (b.logstd * b.logstd)),
};
return result;
}
lognormal_params convert_ci_to_lognormal_params(ci x)
{
double loghigh = logf(x.high);
double loglow = logf(x.low);
double logmean = (loghigh + loglow) / 2.0;
double logstd = (loghigh - loglow) / (2.0 * NORMAL90CONFIDENCE);
lognormal_params result = { .logmean = logmean, .logstd = logstd };
return result;
}
ci convert_lognormal_params_to_ci(lognormal_params y)
{
double h = y.logstd * NORMAL90CONFIDENCE;
double loghigh = y.logmean + h;
double loglow = y.logmean - h;
ci result = { .low = exp(loglow), .high = exp(loghigh) };
return result;
}
/* Parallel sampler */
void parallel_sampler(double (*sampler)(uint64_t* seed), double* results, int n_threads, int n_samples){
if((n_samples % n_threads) != 0){
fprintf(stderr, "Number of samples isn't divisible by number of threads, aborting\n");
exit(1);
printf("[");
for (int i = 0; i < n - 1; i++) {
printf("%f, ", xs[i]);
}
uint64_t** seeds = malloc(n_threads * sizeof(uint64_t*));
for (uint64_t i = 0; i < n_threads; i++) {
seeds[i] = malloc(sizeof(uint64_t));
*seeds[i] = i + 1; // xorshift can't start with 0
}
int i;
#pragma omp parallel private(i)
{
#pragma omp for
for (i = 0; i < n_threads; i++) {
int lower_bound = i * (n_samples / n_threads);
int upper_bound = ((i+1) * (n_samples / n_threads)) - 1;
// printf("Lower bound: %d, upper bound: %d\n", lower_bound, upper_bound);
for (int j = lower_bound; j < upper_bound; j++) {
results[j] = sampler(seeds[i]);
}
}
}
for (uint64_t i = 0; i < n_threads; i++) {
free(seeds[i]);
}
free(seeds);
printf("%f", xs[n - 1]);
printf("]\n");
}

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@ -1,35 +1,17 @@
#ifndef SQUIGGLE_C_EXTRA
#define SQUIGGLE_C_EXTRA
// Box
struct box {
int empty;
double content;
char* error_msg;
};
/* Parallel sampling */
void parallel_sampler(double (*sampler)(uint64_t* seed), double* results, int n_threads, int n_samples);
// Macros to handle errors
#define MAX_ERROR_LENGTH 500
#define EXIT_ON_ERROR 0
#define PROCESS_ERROR(error_msg) process_error(error_msg, EXIT_ON_ERROR, __FILE__, __LINE__)
struct box process_error(const char* error_msg, int should_exit, char* file, int line);
// Inverse cdf
struct box inverse_cdf_double(double cdf(double), double p);
struct box inverse_cdf_box(struct box cdf_box(double), double p);
// Samplers from cdf
struct box sampler_cdf_double(double cdf(double), uint64_t* seed);
struct box sampler_cdf_box(struct box cdf(double), uint64_t* seed);
// Get 90% confidence interval
/* Get 90% confidence interval */
typedef struct ci_t {
float low;
float high;
} ci;
ci get_90_confidence_interval(double (*sampler)(uint64_t*), uint64_t* seed);
// small algebra manipulations
/* Algebra manipulations */
typedef struct normal_params_t {
double mean;
@ -46,6 +28,24 @@ lognormal_params algebra_product_lognormals(lognormal_params a, lognormal_params
lognormal_params convert_ci_to_lognormal_params(ci x);
ci convert_lognormal_params_to_ci(lognormal_params y);
void parallel_sampler(double (*sampler)(uint64_t* seed), double* results, int n_threads, int n_samples);
/* Error handling */
struct box {
int empty;
double content;
char* error_msg;
};
#define MAX_ERROR_LENGTH 500
#define EXIT_ON_ERROR 0
#define PROCESS_ERROR(error_msg) process_error(error_msg, EXIT_ON_ERROR, __FILE__, __LINE__)
struct box process_error(const char* error_msg, int should_exit, char* file, int line);
void array_print(double* array, int length);
/* Inverse cdf */
struct box inverse_cdf_double(double cdf(double), double p);
struct box inverse_cdf_box(struct box cdf_box(double), double p);
/* Samplers from cdf */
struct box sampler_cdf_double(double cdf(double), uint64_t* seed);
struct box sampler_cdf_box(struct box cdf(double), uint64_t* seed);
#endif