add comparison with previous sampler.

New approach turns out to be ~50x slower.
Though it is much more general.

scratchpad/makefile

@@ -10,7 +10,7 @@ CC=gcc # required for nested functions
 
 # Main file
 SRC=scratchpad.c
-OUTPUT=scratchpad
+OUTPUT=./scratchpad
 
 ## Dependencies
 MATH=-lm

scratchpad/scratchpad.c

@@ -4,6 +4,7 @@
 #include <float.h> // FLT_MAX, FLT_MIN
 #include <stdio.h>
 #include <math.h> // erf, sqrt
+#include <time.h>
 
 #define EXIT_ON_ERROR 0
 
@@ -41,9 +42,9 @@ float cdf_squared_0_1(float x)
 
 float cdf_normal_0_1(float x)
 {
-    float mean = 0;
-    float std = 1;
-    return 0.5 * (1 + erf((x - mean) / (std * sqrt(2)))); // erf from math.h
+    // float mean = 0;
+    // float std = 1;
+    return 0.5 * (1 + erf((x - 0) / (1 * sqrt(2)))); // erf from math.h
 }
 
 // Inverse cdf
@@ -94,13 +95,9 @@ struct box inverse_cdf(float cdf(float), float p)
         while (!convergence_condition && (count < (INT_MAX / 2))) {
             float mid = (high + low) / 2;
             int mid_not_new = (mid == low) || (mid == high);
-            if (0) {
-                printf("while loop\n");
-                printf("low: %f, high: %f\n", low, high);
-                printf("mid: %f\n", mid);
-            }
-
+						// float width = high - low;
             if (mid_not_new) {
+						// if ((width < 1e-8) || mid_not_new){
                 convergence_condition = 1;
             } else {
                 float mid_sign = cdf(mid) - p;
@@ -166,6 +163,16 @@ struct box sampler(float cdf(float), uint32_t* seed)
     return result;
 }
 
+// For comparison, raw sampler
+const float PI = 3.14159265358979323846;
+float sampler_normal_0_1(uint32_t* seed)
+{
+    float u1 = rand_0_to_1(seed);
+    float u2 = rand_0_to_1(seed);
+    float z = sqrtf(-2.0 * log(u1)) * sin(2 * PI * u2);
+    return z;
+}
+
 // to do: add beta. 
 // for the cdf, use this incomplete beta function implementation, based on continuous fractions:
 // <https://codeplea.com/incomplete-beta-function-c>
@@ -208,16 +215,32 @@ int main()
     // set randomness seed
     uint32_t* seed = malloc(sizeof(uint32_t));
     *seed = 1000; // xorshift can't start with 0
+    int n = 1000000;
 
     printf("\n\nGetting some samples from %s:\n", name_3);
-    int n = 100;
-    for (int i = 0; i < n; i++) {
+		clock_t begin = clock();
+		for (int i = 0; i < n; i++) {
         struct box sample = sampler(cdf_normal_0_1, seed);
         if (sample.empty) {
             printf("Error in sampler function");
         } else {
-            printf("%f\n", sample.content);
+            // printf("%f\n", sample.content);
         }
     }
+		clock_t end = clock();
+		double time_spent = (double)(end - begin) / CLOCKS_PER_SEC;
+		printf("Time spent: %f", time_spent);
+
+		// Get some normal samples using the previous method.
+		clock_t begin_2 = clock();
+    printf("\n\nGetting some samples from sampler_normal_0_1\n");
+    for (int i = 0; i < n; i++) {
+			float normal_sample = sampler_normal_0_1(seed);
+      // printf("%f\n", normal_sample);
+    }
+		clock_t end_2 = clock();
+		double time_spent_2 = (double)(end_2 - begin_2) / CLOCKS_PER_SEC;
+		printf("Time spent: %f", time_spent_2);
+
     return 0;
 }