diff --git a/.gitignore b/.gitignore
new file mode 100644
index 0000000..a412b2a
--- /dev/null
+++ b/.gitignore
@@ -0,0 +1,60 @@
+CLion Tings
+cmake-build-debug
+.idea/workspace.xml
+
+Prerequisites
+*.d
+
+Object files
+*.o
+*.ko
+*.obj
+*.elf
+
+Linker output
+*.ilk
+*.map
+*.exp
+
+Precompiled Headers
+*.gch
+*.pch
+
+Libraries
+*.lib
+*.a
+*.la
+*.lo
+
+Shared objects (inc. Windows DLLs)
+*.dll
+*.so
+.so.
+*.dylib
+
+Executables
+*.exe
+*.out
+*.app
+.i86
+*.x86_64
+*.hex
+
+Debug files
+*.dSYM/
+*.su
+*.idb
+*.pdb
+
+Kernel Module Compile Results
+.mod
+*.cmd
+.tmp_versions/
+modules.order
+Module.symvers
+Mkfile.old
+dkms.conf
+/.idea/.name
+/.idea/misc.xml
+/.idea/shelf/Uncommitted_changes_before_Update_at_21_09_23,_09_38_[Changes]/shelved.patch
+/.idea/shelf/Uncommitted_changes_before_Update_at_21_09_23,_09_38_[Changes]/shelved.patch
diff --git a/.idea/.gitignore b/.idea/.gitignore
new file mode 100644
index 0000000..13566b8
--- /dev/null
+++ b/.idea/.gitignore
@@ -0,0 +1,8 @@
+# Default ignored files
+/shelf/
+/workspace.xml
+# Editor-based HTTP Client requests
+/httpRequests/
+# Datasource local storage ignored files
+/dataSources/
+/dataSources.local.xml
diff --git a/.idea/c-net.iml b/.idea/c-net.iml
new file mode 100644
index 0000000..f08604b
--- /dev/null
+++ b/.idea/c-net.iml
@@ -0,0 +1,2 @@
+
+
\ No newline at end of file
diff --git a/.idea/modules.xml b/.idea/modules.xml
new file mode 100644
index 0000000..401bcd6
--- /dev/null
+++ b/.idea/modules.xml
@@ -0,0 +1,8 @@
+
+
+
+
+
+
+
+
\ No newline at end of file
diff --git a/.idea/vcs.xml b/.idea/vcs.xml
new file mode 100644
index 0000000..35eb1dd
--- /dev/null
+++ b/.idea/vcs.xml
@@ -0,0 +1,6 @@
+
+
+
+
+
+
\ No newline at end of file
diff --git a/CMakeLists.txt b/CMakeLists.txt
new file mode 100644
index 0000000..461b2a6
--- /dev/null
+++ b/CMakeLists.txt
@@ -0,0 +1,7 @@
+cmake_minimum_required(VERSION 3.22)
+project(c_net C)
+
+set(CMAKE_C_STANDARD 11)
+
+add_executable(c_net main.c matrix.c image.c neuronal_network.c util.c util.h)
+target_link_libraries(c_net m)
diff --git a/data/train-images.idx3-ubyte b/data/train-images.idx3-ubyte
new file mode 100644
index 0000000..bbce276
Binary files /dev/null and b/data/train-images.idx3-ubyte differ
diff --git a/data/train-labels.idx1-ubyte b/data/train-labels.idx1-ubyte
new file mode 100644
index 0000000..d6b4c5d
Binary files /dev/null and b/data/train-labels.idx1-ubyte differ
diff --git a/image.c b/image.c
new file mode 100644
index 0000000..bc8417b
--- /dev/null
+++ b/image.c
@@ -0,0 +1,193 @@
+#include
+#include
+
+#include "image.h"
+#include "matrix.h"
+#include "util.h"
+
+void big_endian_to_c_uint(const char * bytes, void * target, int size) {
+ char* helper = (char*)target;
+ for(int i = 0; i < size; i++){
+ *(helper+i) = *(bytes+size-i-1);
+ }
+}
+
+void read_until_space_or_newline(char * buff, int maxCount, FILE * fptr){
+ int bufferOffset = 0;
+ char c = -1;
+ do{
+ c = (char)getc(fptr);
+ buff[bufferOffset++] = c;
+
+ }while(!feof(fptr) && c != 0 && c != ' ' && c !='\n');
+ buff[bufferOffset-1] = 0;
+}
+
+Image * load_pgm_image(char * image_file_string){
+ FILE * fptr = fopen(image_file_string, "r");
+ Image *image = malloc(sizeof(Image));
+ image->label = -1;
+
+
+ char buffer[100];
+ int magic_number = 0;
+ fgets(buffer, 4, fptr);
+ if(buffer[0] != 'P' || buffer[1] != '5'){
+ printf("Wrong file Format");
+ exit(1);
+ }
+ if(fgetc(fptr) == '#'){
+ fgets(buffer, 1024, fptr);
+ }
+
+ int image_width, image_height, image_length, image_white ;
+ read_until_space_or_newline(buffer, 10, fptr);
+ image_width = strtol(buffer, NULL, 10);
+
+ read_until_space_or_newline(buffer, 10, fptr);
+ image_height = strtol(buffer, NULL, 10);
+
+ read_until_space_or_newline(buffer, 10, fptr);
+ image_white = strtol(buffer, NULL, 10);
+
+ image_length = image_width * image_height;
+
+ image->pixel_values = matrix_create(image_height, image_width);
+ for(int i = 0; i < image_height; i++){
+ fread(buffer, 1, 28, fptr);
+ for(int j = 0; j < image_width; j++){
+ image->pixel_values->numbers[i][j] = (image_white - (unsigned char)buffer[j]) / 255.0;
+ }
+ }
+
+ fclose(fptr);
+ return image;
+}
+
+
+Image** import_images(char* image_file_string, char* label_file_string, int* _number_imported, int count) {
+ printf("Loading Images\n");
+ // create file pointer for the image and label data
+ FILE* image_file = fopen(image_file_string, "r");
+ FILE* label_file = fopen(label_file_string, "r");
+
+ // check if the file could be opened
+ if(image_file == NULL || label_file == NULL) {
+ printf("ERROR: File could not be opened! (import_images)");
+ exit(1);
+ }
+
+ // check magic number of the files
+ char word_buffer[4];
+ int buffer_size = sizeof(word_buffer);
+
+ int magic_number_label, magic_number_images, label_count, image_count;
+
+ //Read description of label file
+ fread(word_buffer, buffer_size, 1, label_file);
+ big_endian_to_c_uint(word_buffer, &magic_number_label, buffer_size);
+
+ fread(word_buffer, 4, 1, label_file);
+ big_endian_to_c_uint(word_buffer, &label_count, buffer_size);
+
+ //Read description of file
+ fread(word_buffer, 4, 1, image_file);
+ big_endian_to_c_uint(word_buffer, &magic_number_images, buffer_size);
+
+ fread(word_buffer, 4, 1, image_file);
+ big_endian_to_c_uint(word_buffer, &image_count, buffer_size);
+
+ // compare magic numbers with pre-defined value
+ if(magic_number_label != MAGIC_NUMBER_LABEL || magic_number_images != MAGIC_NUMBER_IMAGES) {
+ printf("TrainingData or Labels are malformed. Exiting...");
+ exit(1);
+ }
+ if(label_count != image_count){
+ printf("Number of images and labels does not match. Exiting...");
+ exit(1);
+ }
+
+ if(count <= 0){
+ count = image_count;
+ }
+
+ if(count > image_count){
+ count = image_count;
+ printf("Number of images exceeds number of available images. Loading all available images");
+ }
+
+ int image_height, image_width, image_length;
+ //read image dimensions;
+ fread(word_buffer, 4, 1, image_file);
+ big_endian_to_c_uint(word_buffer, &image_height, buffer_size);
+
+ fread(word_buffer, 4, 1, image_file);
+ big_endian_to_c_uint(word_buffer, &image_width, 4);
+
+ image_length = image_height*image_width;
+
+ // allocate memory for the storage of images
+ Image** images = malloc(sizeof(Image*) * count);
+ if(!images){
+ printf("not enough memory");
+ exit(1);
+ }
+
+ unsigned char byteBuffer[image_length];
+ for(int i = 0; i < count; i++){
+ if(i%1000 == 0){
+ updateBar(i*100/count);
+ }
+ images[i] = malloc(sizeof(Image));
+ fread(&images[i]->label, 1, 1, label_file);
+ fread(&byteBuffer, image_width*image_height, 1, image_file);
+ images[i]->pixel_values = matrix_create(image_height, image_width);
+
+ for(int j = 0; j < image_length; j++) {
+ images[i]->pixel_values->numbers[j / image_width][j % image_width] = byteBuffer[j] / 255.0;
+ }
+ }
+
+ if(_number_imported != NULL)*_number_imported = count;
+
+ fclose(image_file);
+ fclose(label_file);
+
+ updateBar(100);
+ printf("\n");
+ return images;
+}
+
+void img_print (Image* img) {
+
+ //print the image
+ matrix_print(img->pixel_values);
+ //print the number of the image
+ printf("Number it is supposed to be: %d\n", img->label);
+}
+
+void img_visualize(Image* img){
+ for(int i = 0; i < img->pixel_values->rows; i++){
+ for(int j = 0; j < img->pixel_values->columns; j++){
+ img->pixel_values->numbers[i][j] > 0.5 ? putc('#', stdout) : putc(' ', stdout);
+ }
+ putc('\n', stdout);
+ }
+ printf("Should be %d\n", img->label);
+}
+
+void img_free (Image* img) {
+ //frees the matrix of image (deep free)
+ matrix_free(img->pixel_values);
+ //frees the rest of img
+ free(img);
+}
+
+void images_free (Image** images, int quantity){
+ //frees every single image
+ for(int i=0;i
+
+#include "image.h"
+#include "neuronal_network.h"
+
+int main() {
+ Image** images = import_images("../data/train-images.idx3-ubyte", "../data/train-labels.idx1-ubyte", NULL, 60000);
+// img_visualize(images[0]);
+// img_visualize(images[1]);
+
+// matrix_print(images[0]->pixel_values);
+// matrix_print(images[1]->pixel_values);
+
+ Neural_Network* nn = new_network(28*28, 40, 5, 10, 0.08);
+ randomize_network(nn, 1);
+// Neural_Network* nn = load_network("../networks/newest_network.txt");
+// printf("Done loading!\n");
+
+// batch_train(nn, images, 20000, 20);
+
+ for (int i = 0; i < 30000; ++i) {
+ train_network(nn, images[i], images[i]->label);
+ }
+
+ save_network(nn);
+
+ printf("%lf\n", measure_network_accuracy(nn, images, 10000));
+
+}
\ No newline at end of file
diff --git a/matrix.c b/matrix.c
new file mode 100644
index 0000000..ba7c258
--- /dev/null
+++ b/matrix.c
@@ -0,0 +1,402 @@
+#include "matrix.h"
+#include
+#include
+#include
+#include
+#define MAX_BYTES 100
+
+static int RANDOMIZED = 0;
+// operational functions
+Matrix* matrix_create(int rows, int columns) {
+
+ // allocate memory for the matrix
+ Matrix* matrix = malloc(sizeof(Matrix));
+
+ // set size variables to the correct size
+ matrix->rows = rows;
+ matrix->columns = columns;
+
+ // allocate memory for the numbers (2D-Array)
+ matrix->numbers = malloc(sizeof(double*) * rows);
+ for (int i = 0; i < rows; i++) {
+ matrix->numbers[i] = calloc(sizeof(double), columns);
+ }
+
+ // return the pointer to the allocated memory
+ return matrix;
+}
+
+void matrix_fill(Matrix* matrix, double value) {
+
+ // simple for loop to populate the 2D-array with a value
+ for (int i = 0; i < matrix->rows; i++) {
+ for (int j = 0; j < matrix->columns; j++) {
+ matrix->numbers[i][j] = value;
+ }
+ }
+}
+
+void matrix_free(Matrix* matrix) {
+
+ // de-allocate every column
+ for (int i = 0; i < matrix->rows; i++) {
+ free(matrix->numbers[i]);
+ }
+
+ // de-allocate the rows
+ free(matrix->numbers);
+
+ // de-allocate the matrix
+ free(matrix);
+}
+
+void matrix_print(Matrix *matrix) {
+
+ // print the dimensions of the matrix
+ printf("Rows: %d, Columns: %d\n", matrix->rows, matrix->columns);
+
+ // loop through all values and format them into the correct matrix representation
+ for (int i = 0; i < matrix->rows; i++) {
+ for (int j = 0; j < matrix->columns; j++) {
+ printf("%lf ", matrix->numbers[i][j]);
+ }
+ printf("\n");
+ }
+}
+
+Matrix* matrix_copy(Matrix *matrix) {
+
+ // create another matrix of the same size
+ Matrix* copy_of_matrix = matrix_create(matrix->rows, matrix->columns);
+
+ // copy the values from the original matrix into the copy
+ for (int i = 0; i < matrix->rows; i++) {
+ for (int j = 0; j < matrix->columns; j++) {
+ copy_of_matrix->numbers[i][j] = matrix->numbers[i][j];
+ }
+ }
+
+ // return the pointer to the copy
+ return copy_of_matrix;
+}
+
+// mathematical functions
+
+/*
+ * These methods won't change or free the input matrix.
+ * It creates a new matrix, which is modified and then returned.
+ * If we don't need the original matrix, we should consider just changing the original matrix and changing the method signature to void.
+ */
+
+Matrix* multiply(Matrix* matrix1, Matrix* matrix2) {
+
+ // check if the two matrices are of the same size
+ if(matrix1->rows != matrix2->rows || matrix1->columns != matrix2->columns) {
+ printf("ERROR: Size of matrices are not compatible! (Multiply)");
+ exit(1);
+ }
+
+ // create result matrix
+ Matrix* result_matrix = matrix_create(matrix1->rows, matrix1->columns);
+
+ // multiply the values and save them into the result matrix
+ for (int i = 0; i < matrix1->rows; i++) {
+ for (int j = 0; j < matrix1->columns; j++) {
+ result_matrix->numbers[i][j] = matrix1->numbers[i][j] * matrix2->numbers[i][j];
+ }
+ }
+
+ // return resulting matrix
+ return result_matrix;
+}
+
+Matrix* add(Matrix* matrix1, Matrix* matrix2) {
+
+ // check if the two matrices are of the same size
+ if(matrix1->rows != matrix2->rows || matrix1->columns != matrix2->columns) {
+ printf("ERROR: Size of matrices are not compatible! (Add)");
+ exit(1);
+ }
+
+ // create result matrix
+ Matrix* result_matrix = matrix_create(matrix1->rows, matrix1->columns);
+
+ // add the value of the number in matrix 1 to the value of the number in matrix 2
+ for (int i = 0; i < matrix1->rows; i++) {
+ for (int j = 0; j < matrix1->columns; j++) {
+ result_matrix->numbers[i][j] = matrix1->numbers[i][j] + matrix2->numbers[i][j];
+ }
+ }
+
+ // return the result matrix
+ return result_matrix;
+}
+
+Matrix* subtract(Matrix* matrix1, Matrix* matrix2) {
+
+ // check if the two matrices are of the same size
+ if(matrix1->rows != matrix2->rows || matrix1->columns != matrix2->columns) {
+ printf("ERROR: Size of matrices are not compatible! (Subtract)");
+ exit(1);
+ }
+
+ // create result matrix
+ Matrix* result_matrix = matrix_create(matrix1->rows, matrix1->columns);
+
+ // subtract the value of the number in matrix 2 from the value of the number in matrix 1
+ for (int i = 0; i < matrix1->rows; i++) {
+ for (int j = 0; j < matrix1->columns; j++) {
+ result_matrix->numbers[i][j] = matrix1->numbers[i][j] - matrix2->numbers[i][j];
+ }
+ }
+
+ // return the resulting matrix
+ return result_matrix;
+}
+
+Matrix* dot(Matrix* matrix1, Matrix* matrix2) {
+
+ // check if the dimensions of the matrices are compatible to calculate the dot product
+ if(matrix1->columns != matrix2->rows) {
+ printf("ERROR: Size of matrices are not compatible! (Dot-Product)");
+ exit(1);
+ }
+
+ // create a new matrix with the dimensions of the dot product;
+ Matrix* result_matrix = matrix_create(matrix1->rows, matrix2->columns);
+
+ // iterate through all rows of matrix 1
+ for (int i = 0; i < matrix1->rows; i++) {
+
+ // iterate though all columns of matrix 2
+ for (int j = 0; j < matrix2->columns; j++) {
+
+ // sum up the products and save them into the result matrix
+ result_matrix->numbers[i][j] = 0;
+ for (int k = 0; k < matrix2->rows; k++) {
+ result_matrix->numbers[i][j] += matrix1->numbers[i][k] * matrix2->numbers[k][j];
+ }
+ }
+ }
+
+ // return result
+ return result_matrix;
+}
+
+Matrix* apply(double (*function)(double), Matrix* matrix) {
+
+ // create a new matrix used to calculate the result
+ Matrix* result_matrix = matrix_create(matrix->rows, matrix->columns);
+
+ // apply the function to all values in the matrix
+ for (int i = 0; i < matrix->rows; i++) {
+ for (int j = 0; j < matrix->columns; j++) {
+ result_matrix->numbers[i][j] = (*function)(matrix->numbers[i][j]);
+ int k = 0;
+ }
+ }
+
+ // return resulting matrix
+ return result_matrix;
+}
+
+Matrix* scale(Matrix* matrix, double value) {
+
+ // create a copy of the original matrix
+ Matrix* result_matrix = matrix_copy(matrix);
+
+ // iterate over all numbers in the matrix and multiply by the scalar value
+ for (int i = 0; i < result_matrix->rows; i++) {
+ for (int j = 0; j < result_matrix->columns; j++) {
+ result_matrix->numbers[i][j] *= value;
+ }
+ }
+
+ // return the copy
+ return result_matrix;
+}
+
+Matrix* addScalar(Matrix* matrix, double value) {
+
+ // create a copy of the original matrix
+ Matrix* result_matrix = matrix_copy(matrix);
+
+ // iterate over all numbers in the matrix and add the scalar value
+ for (int i = 0; i < result_matrix->rows; i++) {
+ for (int j = 0; j < result_matrix->columns; j++) {
+ result_matrix->numbers[i][j] += value;
+ }
+ }
+
+ // return the copy
+ return result_matrix;
+}
+
+Matrix* transpose(Matrix* matrix) {
+
+ // create a new matrix of the size n-m, based on the original matrix of size m-n
+ Matrix* result_matrix = matrix_create(matrix->columns, matrix->rows);
+
+ // copy the values from the original into the correct place in the copy
+ for (int i = 0; i < matrix->rows; i++) {
+ for (int j = 0; j < matrix->columns; j++) {
+ result_matrix->numbers[j][i] = matrix->numbers[i][j];
+ }
+ }
+
+ // return the result matrix
+ return result_matrix;
+
+}
+
+double matrix_sum(Matrix* matrix) {
+ double sum = 0;
+ for (int i = 0; i < matrix->rows; i++) {
+ for (int j = 0; j < matrix->columns; j++) {
+ sum += matrix->numbers[i][j];
+ }
+ }
+ return sum;
+}
+
+void matrix_save(Matrix* matrix, char* file_string){
+
+ // open the file in append mode
+ FILE *file = fopen(file_string, "a");
+
+ // check if the file could be found
+ if(file == NULL) {
+ printf("ERROR: Unable to get handle for \"%s\"! (matrix_save)", file_string);
+ exit(1);
+ }
+
+ // save the size of the matrix
+ fprintf(file, "%d\n", matrix->rows);
+ fprintf(file, "%d\n", matrix->columns);
+
+ // save all the numbers of the matrix into the file
+ for(int i = 0; i < matrix->rows; i++){
+ for(int j = 0; j < matrix->columns; j++){
+ fprintf(file, "%.10f\n", matrix->numbers[i][j]);
+ }
+ }
+
+ // close the file
+ fclose(file);
+}
+
+Matrix* matrix_load(char* file_string){
+
+ FILE *fptr = fopen(file_string, "r");
+
+ if(!fptr){
+ printf("Could not open \"%s\"", file_string);
+ exit(1);
+ }
+
+ Matrix * m = load_next_matrix(fptr);
+
+ fclose(fptr);
+ return m;
+}
+
+Matrix* load_next_matrix(FILE *save_file){
+
+ char buffer[MAX_BYTES];
+
+ fgets(buffer, MAX_BYTES, save_file);
+ int rows = (int)strtol(buffer, NULL, 10);
+ fgets(buffer, MAX_BYTES, save_file);
+ int cols = (int)strtol(buffer, NULL, 10);
+
+ Matrix *matrix = matrix_create(rows, cols);
+
+ for(int i = 0; i < rows; i++){
+ for(int j = 0; j < cols; j++){
+ fgets(buffer, MAX_BYTES, save_file);
+ matrix->numbers[i][j] = strtod(buffer, NULL);
+ }
+ }
+ return matrix;
+}
+
+Matrix* matrix_flatten(Matrix* matrix, int axis) {
+ // Axis = 0 -> Column Vector, Axis = 1 -> Row Vector
+ Matrix* result_matrix;
+ // Column Vector
+ if (axis == 0) {
+ result_matrix = matrix_create(matrix -> rows * matrix -> columns, 1);
+ }
+ // Row Vector
+ else if (axis == 1) {
+ result_matrix = matrix_create(1, matrix -> rows * matrix -> columns);
+ } else {
+ printf("ERROR: Argument must be 1 or 0 (matrix_flatten)");
+ exit(EXIT_FAILURE);
+ }
+ for (int i = 0; i < matrix->rows; i++) {
+ for (int j = 0; j < matrix->columns; j++) {
+ if (axis == 0) result_matrix->numbers[i * matrix->columns + j][0] = matrix->numbers[i][j];
+ else if (axis == 1) result_matrix->numbers[0][i * matrix->columns + j] = matrix->numbers[i][j];
+ }
+ }
+ return result_matrix;
+}
+
+int matrix_argmax(Matrix* matrix) {
+ // Expects a Mx1 matrix
+ if (matrix->columns != 1){
+ printf("ERROR: Matrix is not Mx1 (matrix_argmax)");
+ exit(EXIT_FAILURE);
+ }
+
+ double max_value = 0;
+ int max_index = 0;
+
+ for (int i = 0; i < matrix->rows; i++) {
+ if (matrix->numbers[i][0] > max_value) {
+ max_value = matrix->numbers[i][0];
+ max_index = i;
+ }
+ }
+ return max_index;
+}
+
+void matrix_randomize(Matrix* matrix, int n) {
+
+ if(!RANDOMIZED){
+ srand(time(NULL));
+ RANDOMIZED = 1;
+ }
+ //make a min and max
+ double min = -1.0f / sqrt(n);
+ double max = 1.0f / sqrt(n);
+
+ //calculate difference
+ double difference = max - min;
+
+ //move decimal
+ int scaled_difference = (int)(difference * scaling_value);
+
+ for (int i = 0; i < matrix->rows; i++) {
+ for (int j = 0; j < matrix->columns; j++) {
+ matrix->numbers[i][j] = min + (1.0 * (rand() % scaled_difference) / scaling_value);
+ }
+ }
+}
+
+Matrix* matrix_add_bias(Matrix* matrix) {
+ if(matrix->columns != 1) {
+ printf("ERROR: The size of the matrix does not match an input matrix! (matrix_add_bias)");
+ exit(1);
+ }
+
+ Matrix* result = matrix_create(matrix->rows + 1, matrix->columns);
+
+ result->numbers[0][0] = 1.0;
+ for (int i = 0; i < matrix->rows; ++i) {
+ result->numbers[i + 1][0] = matrix->numbers[i][0];
+ }
+
+ return result;
+}
\ No newline at end of file
diff --git a/matrix.h b/matrix.h
new file mode 100644
index 0000000..2e0e5a9
--- /dev/null
+++ b/matrix.h
@@ -0,0 +1,41 @@
+#pragma once
+#include
+
+typedef struct {
+ int rows, columns;
+ double **numbers;
+} Matrix;
+
+static const int scaling_value = 10000;
+
+// operational functions
+Matrix* matrix_create(int rows, int columns);
+void matrix_fill(Matrix* matrix, double value);
+void matrix_free(Matrix* matrix);
+void matrix_print(Matrix *matrix);
+Matrix* matrix_copy(Matrix *matrix);
+void matrix_save(Matrix* matrix, char* file_string);
+Matrix* matrix_load(char* file_string);
+Matrix* load_next_matrix(FILE * save_file);
+
+void matrix_randomize(Matrix* matrix, int n); // don't understand the usage of the n
+int matrix_argmax(Matrix* matrix);
+Matrix* matrix_flatten(Matrix* matrix, int axis);
+Matrix* matrix_add_bias(Matrix* matrix);
+
+/*
+ * These methods won't change or free the input matrix.
+ * It creates a new matrix, which is modified and then returned.
+ * If we don't need the original matrix, we should consider just changing the original matrix and changing the method signature to void.
+ */
+
+// mathematical functions
+Matrix* multiply(Matrix* matrix1, Matrix* matrix2);
+Matrix* add(Matrix* matrix1, Matrix* matrix2);
+Matrix* subtract(Matrix* matrix1, Matrix* matrix2);
+Matrix* dot(Matrix* matrix1, Matrix* matrix2);
+Matrix* apply(double (*function)(double), Matrix* matrix);
+Matrix* scale(Matrix* matrix, double value);
+Matrix* addScalar(Matrix* matrix, double value);
+Matrix* transpose(Matrix* matrix);
+double matrix_sum(Matrix* matrix);
\ No newline at end of file
diff --git a/networks/89.txt b/networks/89.txt
new file mode 100644
index 0000000..b66afe0
--- /dev/null
+++ b/networks/89.txt
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index 0000000..56c3e9d
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diff --git a/neuronal_network.c b/neuronal_network.c
new file mode 100644
index 0000000..1c58018
--- /dev/null
+++ b/neuronal_network.c
@@ -0,0 +1,360 @@
+#include
+#include "neuronal_network.h"
+#include
+#include
+
+double sigmoid(double input);
+Matrix* predict(Neural_Network* network, Matrix* image_data);
+Matrix* sigmoid_derivative(Matrix* matrix);
+Matrix *calculate_weights_delta(Matrix *previous_layer_output, Matrix *delta_matrix, double learning_rate);
+void apply_weights(Neural_Network* network, Matrix* delta_weights_matrix, int index);
+Matrix* calculate_delta_hidden(Matrix* next_layer_delta, Matrix* weights, Matrix* current_layer_output);
+
+Neural_Network* new_network(int input_size, int hidden_size, int hidden_amount, int output_size, double learning_rate){
+ Neural_Network* network = malloc(sizeof(Neural_Network));
+
+ network->input_size = input_size;
+ network->hidden_size = hidden_size;
+ network->hidden_amount = hidden_amount;
+ network->output_size = output_size;
+ network->learning_rate = learning_rate;
+
+ Matrix** weights = malloc(sizeof(Matrix*) * (hidden_amount + 1));
+ network->weights = weights;
+
+ network->weights[0] = matrix_create(hidden_size, input_size + 1);
+ for(int i=1;iweights[i] = matrix_create(hidden_size, hidden_size + 1);
+ }
+ network->weights[hidden_amount] = matrix_create(output_size, hidden_size + 1);
+
+ return network;
+}
+
+void randomize_network(Neural_Network* network, int scope){
+ for (int i = 0; i < network->hidden_amount + 1; i++) {
+ matrix_randomize(network->weights[i], scope);
+ }
+}
+
+void free_network(Neural_Network* network){
+ for (int i = 0; i < network->hidden_amount + 1; i++) {
+ matrix_free(network->weights[i]);
+ }
+ free(network->weights);
+ free(network);
+}
+
+void save_network(Neural_Network* network) {
+
+ char* file_name = "../networks/newest_network.txt";
+
+ // create file
+ FILE* save_file = fopen(file_name, "w");
+
+ // check if file is successfully opened
+ if(save_file == NULL) {
+ printf("ERROR: Something went wrong in file creation! (save_network)");
+ exit(1);
+ }
+
+ // save network size to first line of the file
+ fprintf(save_file, "%d\n", network->input_size);
+ fprintf(save_file, "%d\n", network->hidden_size);
+ fprintf(save_file, "%d\n", network->hidden_amount);
+ fprintf(save_file, "%d\n", network->output_size);
+
+ // close the file
+ fclose(save_file);
+
+ for (int i = 0; i < network->hidden_amount + 1; ++i) {
+ matrix_save(network->weights[i], file_name);
+ }
+
+ printf("Network Saved!\n");
+}
+
+Neural_Network* load_network(char* file) {
+
+ // create file pointer and open file
+ FILE* save_file = fopen(file, "r");
+
+ // check if file could be opened
+ if(save_file == NULL) {
+ printf("ERROR: File could not be opened/found! (load_network)");
+ exit(1);
+ }
+
+ // read & store the information on the size of the network from the save file
+ char buffer[MAX_BYTES];
+ fgets(buffer, MAX_BYTES, save_file);
+ int input_size = (int) strtol(buffer, NULL, 10);
+ fgets(buffer, MAX_BYTES, save_file);
+ int hidden_size = (int) strtol(buffer, NULL, 10);
+ fgets(buffer, MAX_BYTES, save_file);
+ int hidden_amount = (int) strtol(buffer, NULL, 10);
+ fgets(buffer, MAX_BYTES, save_file);
+ int output_size = (int) strtol(buffer, NULL, 10);
+
+ // create a new network to fill with the saved data
+ Neural_Network* saved_network = new_network(input_size, hidden_size, hidden_amount, output_size, 0);
+
+ for (int i = 0; i < saved_network->hidden_amount + 1; ++i) {
+ saved_network->weights[i] = load_next_matrix(save_file);
+ }
+
+ // return saved network
+ fclose(save_file);
+ return saved_network;
+}
+
+void print_network(Neural_Network* network) {
+ for (int i = 0; i < network->hidden_amount; ++i) {
+ matrix_print(network->weights[i]);
+ }
+}
+
+double measure_network_accuracy(Neural_Network* network, Image** images, int amount) {
+ int num_correct = 0;
+
+ for (int i = 0; i < amount; i++) {
+ Matrix* prediction = predict_image(network, images[i]);
+
+ int guess = matrix_argmax(prediction);
+ int answer = (unsigned char) images[i]->label;
+
+ if (guess == answer) {
+ num_correct++;
+ }
+
+ matrix_free(prediction);
+ }
+ return ((double) num_correct) / amount;
+}
+
+Matrix* predict_image(Neural_Network* network, Image* image){
+ Matrix* image_data = matrix_flatten(image->pixel_values, 0);
+ Matrix* res = predict(network, image_data);
+ matrix_free(image_data);
+ return res;
+}
+
+Matrix* predict(Neural_Network* network, Matrix* image_data) {
+
+ Matrix* input = matrix_add_bias(image_data);
+
+ Matrix* output[network->hidden_amount + 1];
+ for (int i = 0; i < network->hidden_amount + 1; ++i) {
+ Matrix* neuron_input = dot(network->weights[i], input);
+ Matrix* neuron_activation = apply(sigmoid, neuron_input);
+
+ output[i] = neuron_activation;
+
+ matrix_free(neuron_input);
+ matrix_free(input);
+
+ input = matrix_add_bias(neuron_activation);
+ }
+
+ for (int i = 0; i < network->hidden_amount; ++i) {
+ matrix_free(output[i]);
+ }
+
+ matrix_free(input);
+
+ return output[network->hidden_amount];
+}
+
+//void batch_train(Neural_Network* network, Image** images, int amount, int batch_size) {
+//
+// for (int i = 0; i < amount; ++i) {
+//
+// if(amount % 1000 == 0) {
+// printf("1k pics!\n");
+// }
+//
+// Matrix* batch_weights[network->hidden_amount + 1];
+//
+// for (int j = 0; j < batch_size; ++j) {
+// Matrix** delta_weights = train_network(network, images[i], images[i]->label);
+//
+// for (int k = 0; k < network->hidden_amount + 1; k++) {
+// if(j == 0) {
+// batch_weights[k] = delta_weights[k];
+// continue;
+// }
+//
+// Matrix* temp_result = add(batch_weights[k], delta_weights[k]);
+//
+// matrix_free(batch_weights[k]);
+// matrix_free(delta_weights[k]);
+//
+// batch_weights[k] = temp_result;
+// }
+//
+// free(delta_weights);
+// }
+//
+// for (int j = 0; j < network->hidden_amount + 1; ++j) {
+// Matrix* average_delta_weight = scale(batch_weights[j], (1.0 / batch_size));
+// apply_weights(network, average_delta_weight, j);
+//
+// matrix_free(average_delta_weight);
+// matrix_free(batch_weights[j]);
+// }
+// }
+//}
+
+void train_network(Neural_Network* network, Image *image, int label) {
+
+ Matrix* image_data = matrix_flatten(image->pixel_values, 0);
+ Matrix* input = matrix_add_bias(image_data);
+
+ Matrix* output[network->hidden_amount + 1];
+ for (int i = 0; i < network->hidden_amount + 1; ++i) {
+ Matrix* neuron_input = dot(network->weights[i], input);
+ Matrix* neuron_activation = apply(sigmoid, neuron_input);
+
+ output[i] = neuron_activation;
+
+ matrix_free(neuron_input);
+ matrix_free(input);
+
+ input = matrix_add_bias(neuron_activation);
+ }
+
+ // back propagation
+
+ //list to store the new weights
+ Matrix** delta_weights = malloc(sizeof(Matrix*) * (network->hidden_amount + 1));
+
+ // calculate the derivative of the sigmoid function of the input of the result layer
+ Matrix* sigmoid_prime = sigmoid_derivative(output[network->hidden_amount]);
+
+ // create wanted out-put matrix, calculate the difference and delta values (output layer only)
+ Matrix* wanted_output = matrix_create(output[network->hidden_amount]->rows, output[network->hidden_amount]->columns);
+ matrix_fill(wanted_output, 0);
+ wanted_output->numbers[label][0] = 1;
+ Matrix* error = subtract(wanted_output, output[network->hidden_amount]);
+ Matrix* delta = multiply(sigmoid_prime, error);
+
+ //calculate and apply the delta for all weights in out-put layer
+ delta_weights[network->hidden_amount] = calculate_weights_delta(output[network->hidden_amount - 1], delta, network->learning_rate);
+
+ //hidden layers
+ Matrix* previous_delta = delta;
+ for (int i = network->hidden_amount; i > 1; i--) {
+ delta = calculate_delta_hidden(previous_delta, network->weights[i], output[i - 1]);
+ delta_weights[i - 1] = calculate_weights_delta(output[i - 2], delta, network->learning_rate);
+
+ matrix_free(previous_delta);
+ previous_delta = delta;
+ }
+
+ // Input Layer
+ delta = calculate_delta_hidden(previous_delta, network->weights[1], output[0]);
+ delta_weights[0] = calculate_weights_delta(image_data, delta, network->learning_rate);
+
+ for (int i = 0; i < network->hidden_amount + 1; ++i) {
+ apply_weights(network, delta_weights[i], i);
+ }
+
+ // De-allocate stuff
+ matrix_free(image_data);
+ matrix_free(input);
+
+ for (int i = 0; i < network->hidden_amount + 1; ++i) {
+ matrix_free(output[i]);
+ }
+
+ for (int i = 0; i < network->hidden_amount + 1; ++i) {
+ matrix_free(delta_weights[i]);
+ }
+
+ matrix_free(sigmoid_prime);
+ matrix_free(wanted_output);
+ matrix_free(error);
+ matrix_free(delta);
+ matrix_free(previous_delta);
+
+// return delta_weights;
+}
+
+Matrix* calculate_delta_hidden(Matrix* next_layer_delta, Matrix* weights, Matrix* current_layer_output) {
+
+ // remove bias weights from weights
+ Matrix* weights_without_biases = matrix_create(weights->rows, weights->columns - 1);
+ for (int i = 0; i < weights->rows; ++i) {
+ for (int j = 0; j < weights->columns - 1; ++j) {
+ weights_without_biases->numbers[i][j] = weights->numbers[i][j + 1];
+ }
+ }
+
+ // transpose the new weights and multiply with deltas
+ Matrix* transposed_weight_without_biases = transpose(weights_without_biases);
+ Matrix* sum_delta_weights = dot(transposed_weight_without_biases, next_layer_delta);
+
+ //multiply with derivative of current layer output
+ Matrix* sigmoid_prime = sigmoid_derivative(current_layer_output);
+
+ // multiply to find deltas for current layer
+ Matrix* new_deltas = multiply(sigmoid_prime, sum_delta_weights);
+
+ matrix_free(weights_without_biases);
+ matrix_free(transposed_weight_without_biases);
+ matrix_free(sum_delta_weights);
+ matrix_free(sigmoid_prime);
+
+ return new_deltas;
+}
+
+void apply_weights(Neural_Network* network, Matrix* delta_weights_matrix, int index) {
+
+ if(index > network->hidden_amount || index < 0) {
+ printf("ERROR: Index out of range! (apply_weights)");
+ exit(1);
+ }
+ if(delta_weights_matrix->rows != network->weights[index]->rows ||
+ delta_weights_matrix->columns != network->weights[index]->columns) {
+ printf("ERROR: Size of weight matrices do not match! (apply_weights)");
+ exit(1);
+ }
+
+ for (int i = 0; i < delta_weights_matrix->rows; i++) {
+ for (int j = 0; j < delta_weights_matrix->columns; j++) {
+ network->weights[index]->numbers[i][j] += delta_weights_matrix->numbers[i][j]; // multiply delta_weights_matrix with learning rate AND - instead of + because soll-ist
+ }
+ }
+}
+
+Matrix *calculate_weights_delta(Matrix *previous_layer_output, Matrix *delta_matrix, double learning_rate) {
+
+ Matrix* previous_out_with_one = matrix_add_bias(previous_layer_output);
+ Matrix* transposed_previous_out_with_bias = transpose(previous_out_with_one);
+ Matrix* weights_delta_matrix = dot(delta_matrix, transposed_previous_out_with_bias);
+
+ // scale by learning rate
+ Matrix* result = scale(weights_delta_matrix, learning_rate);
+
+ matrix_free(previous_out_with_one);
+ matrix_free(transposed_previous_out_with_bias);
+ matrix_free(weights_delta_matrix);
+
+ return result;
+}
+
+Matrix* sigmoid_derivative(Matrix* matrix) {
+ Matrix* ones = matrix_create(matrix->rows, matrix->columns);
+ matrix_fill(ones, 1);
+ Matrix* ones_minus_out = subtract(ones, matrix);
+ Matrix* sigmoid_derivative = multiply(matrix, ones_minus_out);
+
+ matrix_free(ones);
+ matrix_free(ones_minus_out);
+
+ return sigmoid_derivative;
+}
+
+double sigmoid(double input) {
+ return 1.0 / (1 + exp(-1 * input));
+}
\ No newline at end of file
diff --git a/neuronal_network.h b/neuronal_network.h
new file mode 100644
index 0000000..a2db05f
--- /dev/null
+++ b/neuronal_network.h
@@ -0,0 +1,33 @@
+
+#include "matrix.h"
+#include "image.h"
+
+typedef struct {
+ int input_size;
+ int hidden_size;
+ int hidden_amount;
+ int output_size;
+
+ Matrix** weights;
+
+ double learning_rate;
+
+} Neural_Network;
+
+static const int MAX_BYTES = 100;
+
+Neural_Network* new_network(int input_size, int hidden_size, int hidden_amount, int output_size, double learning_rate);
+
+void randomize_network(Neural_Network* network, int scope);
+void free_network(Neural_Network* network);
+
+void save_network(Neural_Network* network);
+Neural_Network* load_network(char* file);
+
+void print_network(Neural_Network* network);
+
+void batch_train(Neural_Network* network, Image** images, int amount, int batch_size);
+double measure_network_accuracy(Neural_Network* network, Image** images, int amount);
+Matrix* predict_image(Neural_Network* network, Image* image);
+
+void train_network(Neural_Network* network, Image *image, int label);
diff --git a/util.c b/util.c
new file mode 100644
index 0000000..e55bd3a
--- /dev/null
+++ b/util.c
@@ -0,0 +1,20 @@
+//
+// Created by jakob on 21.09.2023.
+//
+
+#include "util.h"
+#include
+void updateBar(int percent_done){
+ const int BAR_LENGTH = 30;
+ int numChar = percent_done * BAR_LENGTH / 100;
+
+ printf("\r[");
+ for(int i = 0; i < numChar; i++){
+ printf("#");
+ }
+ for(int i = 0; i < BAR_LENGTH - numChar; i++){
+ printf(".");
+ }
+ printf("] (%d%%)", percent_done);
+ fflush(stdout);
+}
diff --git a/util.h b/util.h
new file mode 100644
index 0000000..a24bfe7
--- /dev/null
+++ b/util.h
@@ -0,0 +1,9 @@
+//
+// Created by jakob on 21.09.2023.
+//
+
+#ifndef C_NET_UTIL_H
+#define C_NET_UTIL_H
+
+#endif //C_NET_UTIL_H
+void updateBar(int percentDone);