use new pattern to reduce nested functions extension

examples/core/01_one_sample/example.c

@@ -4,12 +4,12 @@
 
 // Estimate functions
 
-double sample_model(uint64_t* seed){
+double sample_0(uint64_t* seed) { UNUSED(seed); return 0; }
+double sample_1(uint64_t* seed) { UNUSED(seed); return 1; }
+double sample_few(uint64_t* seed) { return sample_to(1, 3, seed); }
+double sample_many(uint64_t* seed) { return sample_to(2, 10, seed); }
 
-    double sample_0(uint64_t* seed) { UNUSED(seed); return 0; }
+double sample_model(uint64_t* seed){
-    double sample_1(uint64_t* seed) { UNUSED(seed); return 1; }
-    double sample_few(uint64_t* seed) { return sample_to(1, 3, seed); }
-    double sample_many(uint64_t* seed) { return sample_to(2, 10, seed); }
 
     double p_a = 0.8;
     double p_b = 0.5;

examples/core/02_time_to_botec/example.c

@@ -2,37 +2,35 @@
 #include <stdio.h>
 #include <stdlib.h>
 
+double sample_0(uint64_t* seed) { UNUSED(seed); return 0; }
+double sample_1(uint64_t* seed) { UNUSED(seed); return 1; }
+double sample_few(uint64_t* seed) { return sample_to(1, 3, seed); }
+double sample_many(uint64_t* seed) { return sample_to(2, 10, seed); }
+
+double sample_model(uint64_t* seed){
+
+    double p_a = 0.8;
+    double p_b = 0.5;
+    double p_c = p_a * p_b;
+
+    int n_dists = 4;
+    double weights[] = { 1 - p_c, p_c / 2, p_c / 4, p_c / 4 };
+    double (*samplers[])(uint64_t*) = { sample_0, sample_1, sample_few, sample_many };
+    double result = sample_mixture(samplers, weights, n_dists, seed);
+
+    return result;
+}
+
 int main()
 {
     // set randomness seed
     uint64_t* seed = malloc(sizeof(uint64_t));
     *seed = 1000; // xorshift can't start with 0
 
-    double p_a = 0.8;
-    double p_b = 0.5;
-    double p_c = p_a * p_b;
-
-    double sample_0(uint64_t * seed)
-    {
-        UNUSED(seed);
-        return 0;
-    }
-    double sample_1(uint64_t * seed)
-    {
-        UNUSED(seed);
-        return 1;
-    }
-    double sample_few(uint64_t * seed) { return sample_to(1, 3, seed); }
-    double sample_many(uint64_t * seed) { return sample_to(2, 10, seed); }
-
-    int n_dists = 4;
-    double weights[] = { 1 - p_c, p_c / 2, p_c / 4, p_c / 4 };
-    double (*samplers[])(uint64_t*) = { sample_0, sample_1, sample_few, sample_many };
-
     int n_samples = 1000000;
     double* result_many = (double*)malloc((size_t)n_samples * sizeof(double));
     for (int i = 0; i < n_samples; i++) {
-        result_many[i] = sample_mixture(samplers, weights, n_dists, seed);
+        result_many[i] = sample_model(seed);
     }
     printf("Mean: %f\n", array_mean(result_many, n_samples));
 

examples/core/03_gcc_nested_function/example.c

@@ -2,39 +2,36 @@
 #include <stdio.h>
 #include <stdlib.h>
 
+double sample_model(uint64_t* seed){
+
+    double sample_0(uint64_t* seed) { UNUSED(seed); return 0; }
+    // Using a gcc extension, you can define a function inside another function
+    double sample_1(uint64_t* seed) { UNUSED(seed); return 1; }
+    double sample_few(uint64_t* seed) { return sample_to(1, 3, seed); }
+    double sample_many(uint64_t* seed) { return sample_to(2, 10, seed); }
+
+    double p_a = 0.8;
+    double p_b = 0.5;
+    double p_c = p_a * p_b;
+
+    int n_dists = 4;
+    double weights[] = { 1 - p_c, p_c / 2, p_c / 4, p_c / 4 };
+    double (*samplers[])(uint64_t*) = { sample_0, sample_1, sample_few, sample_many };
+    double result = sample_mixture(samplers, weights, n_dists, seed);
+
+    return result;
+}
+
 int main()
 {
     // set randomness seed
     uint64_t* seed = malloc(sizeof(uint64_t));
     *seed = 1000; // xorshift can't start with 0
 
-    double p_a = 0.8;
-    double p_b = 0.5;
-    double p_c = p_a * p_b;
-
-    int n_dists = 4;
-
-    // These are nested functions. They will not compile without gcc.
-    double sample_0(uint64_t * seed)
-    {
-        UNUSED(seed);
-        return 0;
-    }
-    double sample_1(uint64_t * seed)
-    {
-        UNUSED(seed);
-        return 1;
-    }
-    double sample_few(uint64_t * seed) { return sample_to(1, 3, seed); }
-    double sample_many(uint64_t * seed) { return sample_to(2, 10, seed); }
-
-    double (*samplers[])(uint64_t*) = { sample_0, sample_1, sample_few, sample_many };
-    double weights[] = { 1 - p_c, p_c / 2, p_c / 4, p_c / 4 };
-
     int n_samples = 1000000;
     double* result_many = (double*)malloc((size_t)n_samples * sizeof(double));
     for (int i = 0; i < n_samples; i++) {
-        result_many[i] = sample_mixture(samplers, weights, n_dists, seed);
+        result_many[i] = sample_model(seed);
     }
 
     printf("result_many: [");
@@ -42,5 +39,6 @@ int main()
         printf("%.2f, ", result_many[i]);
     }
     printf("]\n");
+
     free(seed);
 }

examples/core/04_gamma_beta/example.c

@@ -2,8 +2,6 @@
 #include <stdio.h>
 #include <stdlib.h>
 
-// Estimate functions
-
 int main()
 {
     // set randomness seed
@@ -11,33 +9,21 @@ int main()
     *seed = 1000; // xorshift can't start with 0
 
     int n = 1000 * 1000;
-    /*
+    double* gamma_array = malloc(sizeof(double) * (size_t)n);
-		for (int i = 0; i < n; i++) {
-        double gamma_0 = sample_gamma(0.0, seed);
-        // printf("sample_gamma(0.0): %f\n", gamma_0);
-    }
-		printf("\n");
-		*/
-
-    double* gamma_1_array = malloc(sizeof(double) * (size_t)n);
     for (int i = 0; i < n; i++) {
-        double gamma_1 = sample_gamma(1.0, seed);
+        gamma_array[i] = sample_gamma(1.0, seed);
-        // printf("sample_gamma(1.0): %f\n", gamma_1);
-        gamma_1_array[i] = gamma_1;
     }
-    printf("gamma(1) summary statistics = mean: %f, std: %f\n", array_mean(gamma_1_array, n), array_std(gamma_1_array, n));
+    printf("gamma(1) summary statistics = mean: %f, std: %f\n", array_mean(gamma_array, n), array_std(gamma_array, n));
-    free(gamma_1_array);
     printf("\n");
 
-    double* beta_1_2_array = malloc(sizeof(double) * (size_t)n);
+    double* beta_array = malloc(sizeof(double) * (size_t)n);
     for (int i = 0; i < n; i++) {
-        double beta_1_2 = sample_beta(1, 2.0, seed);
+        beta_array[i] = sample_beta(1, 2.0, seed);
-        // printf("sample_beta(1.0, 2.0): %f\n", beta_1_2);
-        beta_1_2_array[i] = beta_1_2;
     }
-    printf("beta(1,2) summary statistics: mean: %f, std: %f\n", array_mean(beta_1_2_array, n), array_std(beta_1_2_array, n));
+    printf("beta(1,2) summary statistics: mean: %f, std: %f\n", array_mean(beta_array, n), array_std(beta_array, n));
-    free(beta_1_2_array);
     printf("\n");
 
+    free(gamma_array);
+    free(beta_array);
     free(seed);
 }

examples/core/06_dissolving_fermi_paradox/example.c

@@ -4,87 +4,88 @@
 #include <stdio.h>
 #include <stdlib.h>
 
-int main()
+double sample_fermi_logspace(uint64_t * seed)
 {
     // Replicate <https://arxiv.org/pdf/1806.02404.pdf>, and in particular the red line in page 11.
+    // You can see a simple version of this function in naive.c in this same folder
+    double log_rate_of_star_formation = sample_uniform(log(1), log(100), seed);
+    double log_fraction_of_stars_with_planets = sample_uniform(log(0.1), log(1), seed);
+    double log_number_of_habitable_planets_per_star_system = sample_uniform(log(0.1), log(1), seed);
+
+    double log_rate_of_life_formation_in_habitable_planets = sample_normal(1, 50, seed);
+    double log_fraction_of_habitable_planets_in_which_any_life_appears;
+    /* 
+        Consider:
+        a = underlying normal 
+        b = rate_of_life_formation_in_habitable_planets = exp(underlying normal) = exp(a)
+        c = 1 - exp(-b) = fraction_of_habitable_planets_in_which_any_life_appears
+        d = log(c)
+
+        Looking at the Taylor expansion for c = 1 - exp(-b), it's 
+        b - b^2/2 + b^3/6 - x^b/24, etc.
+        <https://www.wolframalpha.com/input?i=1-exp%28-x%29>
+        When b ~ 0 (as is often the case), this is close to b.
+
+        But now, if b ~ 0, c ~ b
+        and d = log(c) ~ log(b) = log(exp(a)) = a
+
+        Now, we could play around with estimating errors,
+        and indeed if we want b^2/2 = exp(a)^2/2 < 10^(-n), i.e., to have n decimal digits of precision,
+        we could compute this as e.g., a < (nlog(10) + log(2))/2
+        so for example if we want ten digits of precision, that's a < -11
+        
+        Empirically, the two numbers as calculated in C do become really close around 11 or so, 
+        and at 38 that calculation results in a -inf (so probably a floating point error or similar.)
+        So we should be using that formula for somewhere between -38 << a < -11
+
+        I chose -16 as a happy medium after playing around with 
+        double invert(double x){
+            return log(1-exp(-exp(-x)));
+        }
+        for(int i=0; i<64; i++){
+            double j = i;
+            printf("for %lf, log(1-exp(-exp(-x))) is calculated as... %lf\n", j, invert(j));
+        }
+        and <https://www.wolframalpha.com/input?i=log%281-exp%28-exp%28-16%29%29%29>
+    */
+    if (log_rate_of_life_formation_in_habitable_planets < -16) {
+        log_fraction_of_habitable_planets_in_which_any_life_appears = log_rate_of_life_formation_in_habitable_planets;
+    } else {
+        double rate_of_life_formation_in_habitable_planets = exp(log_rate_of_life_formation_in_habitable_planets);
+        double fraction_of_habitable_planets_in_which_any_life_appears = -expm1(-rate_of_life_formation_in_habitable_planets);
+        log_fraction_of_habitable_planets_in_which_any_life_appears = log(fraction_of_habitable_planets_in_which_any_life_appears);
+    }
+
+    double log_fraction_of_planets_with_life_in_which_intelligent_life_appears = sample_uniform(log(0.001), log(1), seed);
+    double log_fraction_of_intelligent_planets_which_are_detectable_as_such = sample_uniform(log(0.01), log(1), seed);
+    double log_longevity_of_detectable_civilizations = sample_uniform(log(100), log(10000000000), seed);
+
+    double log_n = 
+        log_rate_of_star_formation + 
+        log_fraction_of_stars_with_planets + 
+        log_number_of_habitable_planets_per_star_system + 
+        log_fraction_of_habitable_planets_in_which_any_life_appears + 
+        log_fraction_of_planets_with_life_in_which_intelligent_life_appears + 
+        log_fraction_of_intelligent_planets_which_are_detectable_as_such + 
+        log_longevity_of_detectable_civilizations;
+    return log_n;
+}
+
+double sample_are_we_alone_logspace(uint64_t * seed)
+{
+    double log_n = sample_fermi_logspace(seed);
+    return ((log_n > 0) ? 1 : 0);
+    // log_n > 0 => n > 1
+}
+
+
+int main()
+{
 
     // set randomness seed
     uint64_t* seed = malloc(sizeof(uint64_t));
     *seed = 1001; // xorshift can't start with a seed of 0
 
-    double sample_fermi_logspace(uint64_t * seed)
-    {
-        // You can see a simple version of this function in naive.c in this same folder
-        double log_rate_of_star_formation = sample_uniform(log(1), log(100), seed);
-        double log_fraction_of_stars_with_planets = sample_uniform(log(0.1), log(1), seed);
-        double log_number_of_habitable_planets_per_star_system = sample_uniform(log(0.1), log(1), seed);
-
-        double log_rate_of_life_formation_in_habitable_planets = sample_normal(1, 50, seed);
-        double log_fraction_of_habitable_planets_in_which_any_life_appears;
-        /* 
-            Consider:
-            a = underlying normal 
-            b = rate_of_life_formation_in_habitable_planets = exp(underlying normal) = exp(a)
-            c = 1 - exp(-b) = fraction_of_habitable_planets_in_which_any_life_appears
-            d = log(c)
-
-            Looking at the Taylor expansion for c = 1 - exp(-b), it's 
-            b - b^2/2 + b^3/6 - x^b/24, etc.
-            <https://www.wolframalpha.com/input?i=1-exp%28-x%29>
-            When b ~ 0 (as is often the case), this is close to b.
-
-            But now, if b ~ 0, c ~ b
-            and d = log(c) ~ log(b) = log(exp(a)) = a
-
-            Now, we could play around with estimating errors,
-            and indeed if we want b^2/2 = exp(a)^2/2 < 10^(-n), i.e., to have n decimal digits of precision,
-            we could compute this as e.g., a < (nlog(10) + log(2))/2
-            so for example if we want ten digits of precision, that's a < -11
-            
-            Empirically, the two numbers as calculated in C do become really close around 11 or so, 
-            and at 38 that calculation results in a -inf (so probably a floating point error or similar.)
-            So we should be using that formula for somewhere between -38 << a < -11
-
-            I chose -16 as a happy medium after playing around with 
-            double invert(double x){
-                return log(1-exp(-exp(-x)));
-            }
-            for(int i=0; i<64; i++){
-                double j = i;
-                printf("for %lf, log(1-exp(-exp(-x))) is calculated as... %lf\n", j, invert(j));
-            }
-            and <https://www.wolframalpha.com/input?i=log%281-exp%28-exp%28-16%29%29%29>
-        */
-        if (log_rate_of_life_formation_in_habitable_planets < -16) {
-            log_fraction_of_habitable_planets_in_which_any_life_appears = log_rate_of_life_formation_in_habitable_planets;
-        } else {
-            double rate_of_life_formation_in_habitable_planets = exp(log_rate_of_life_formation_in_habitable_planets);
-            double fraction_of_habitable_planets_in_which_any_life_appears = -expm1(-rate_of_life_formation_in_habitable_planets);
-            log_fraction_of_habitable_planets_in_which_any_life_appears = log(fraction_of_habitable_planets_in_which_any_life_appears);
-        }
-
-        double log_fraction_of_planets_with_life_in_which_intelligent_life_appears = sample_uniform(log(0.001), log(1), seed);
-        double log_fraction_of_intelligent_planets_which_are_detectable_as_such = sample_uniform(log(0.01), log(1), seed);
-        double log_longevity_of_detectable_civilizations = sample_uniform(log(100), log(10000000000), seed);
-
-        double log_n = 
-            log_rate_of_star_formation + 
-            log_fraction_of_stars_with_planets + 
-            log_number_of_habitable_planets_per_star_system + 
-            log_fraction_of_habitable_planets_in_which_any_life_appears + 
-            log_fraction_of_planets_with_life_in_which_intelligent_life_appears + 
-            log_fraction_of_intelligent_planets_which_are_detectable_as_such + 
-            log_longevity_of_detectable_civilizations;
-        return log_n;
-    }
-
-    double sample_are_we_alone_logspace(uint64_t * seed)
-    {
-        double log_n = sample_fermi_logspace(seed);
-        return ((log_n > 0) ? 1 : 0);
-        // log_n > 0 => n > 1
-    }
-
     double logspace_fermi_proportion = 0;
     int n_samples = 1000 * 1000;
     for (int i = 0; i < n_samples; i++) {