add beta and gamma example/tests

examples/06_gamma_beta/example.c

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+#include "../../squiggle.h"
+#include <stdint.h>
+#include <stdio.h>
+#include <stdlib.h>
+
+// Estimate functions
+
+int main()
+{
+    // set randomness seed
+    uint32_t* seed = malloc(sizeof(uint32_t));
+    *seed = 1000; // xorshift can't start with 0
+
+    int n =  1000 * 1000;
+    for (int i = 0; i < n; i++) {
+        float gamma_0 = sample_gamma(0.0, seed);
+        // printf("sample_gamma(0.0): %f\n", gamma_0);
+    }
+		// printf("\n");
+
+		float* gamma_1_array = malloc(sizeof(float) * n);
+    for (int i = 0; i < n; i++) {
+        float gamma_1 = 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));
+		free(gamma_1_array);
+		printf("\n");
+    
+		float* beta_1_2_array = malloc(sizeof(float) * n);
+		for (int i = 0; i < n; i++) {
+        float beta_1_2 = 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));
+		free(beta_1_2_array);
+		printf("\n");
+		
+		free(seed);
+}
+
+/* 
+Aggregation mechanisms:
+- Quantiles (requires a sort)
+- Sum 
+- Average
+- Std
+*/

examples/06_gamma_beta/makefile

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+# Interface: 
+#   make
+#   make build
+#   make format
+#   make run
+
+# Compiler
+CC=gcc
+# CC=tcc # <= faster compilation
+
+# Main file
+SRC=example.c ../../squiggle.c
+OUTPUT=example
+
+## Dependencies
+MATH=-lm
+
+## Flags
+DEBUG= #'-g'
+STANDARD=-std=c99
+WARNINGS=-Wall
+OPTIMIZED=-O3  #-Ofast
+# OPENMP=-fopenmp
+
+## Formatter
+STYLE_BLUEPRINT=webkit
+FORMATTER=clang-format -i -style=$(STYLE_BLUEPRINT)
+
+## make build
+build: $(SRC)
+	$(CC) $(OPTIMIZED) $(DEBUG) $(SRC) $(MATH) -o $(OUTPUT)
+
+format: $(SRC)
+	$(FORMATTER) $(SRC)
+
+run: $(SRC) $(OUTPUT)
+	OMP_NUM_THREADS=1 ./$(OUTPUT) && echo
+
+time-linux: 
+	@echo "Requires /bin/time, found on GNU/Linux systems" && echo
+	
+	@echo "Running 100x and taking avg time $(OUTPUT)"
+	@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
+
+## Profiling
+
+profile-linux: 
+	echo "Requires perf, which depends on the kernel version, and might be in linux-tools package or similar"
+	echo "Must be run as sudo"
+	$(CC) $(SRC) $(MATH) -o $(OUTPUT)
+	sudo perf record ./$(OUTPUT)
+	sudo perf report
+	rm perf.data