外部ライブラリを使用せずに Pure C/C でブール行列からモノクロ BMP イメージを作成するにはどうすればよいですか?

#include <stdio.h>
#include <stdlib.h>

int main(int argc, char* argv[]) {
    // Image dimensions
    int width = 100, height = 100;

    // Boolean matrix representing the image data
    bool matrix[width][height];

    // File pointer for writing the BMP image
    FILE* f = fopen("image.bmp", "wb");

    // BMP file header
    unsigned char bmpfileheader[14] = {'B','M', 0,0,0,0, 0,0, 0,0, 54,0,0,0};

    // BMP image data header
    unsigned char bmpinfoheader[40] = {40,0,0,0, 0,0,0,0, 0,0,0,0, 1,0, 1,0};

    // Set file size in header
    bmpfileheader[ 2] = (width + 7) / 8 * height;

    // Adjust image width and height in header
    bmpinfoheader[ 4] = width;
    bmpinfoheader[ 8] = height;

    // Write the BMP header and image data
    fwrite(bmpfileheader, 1, 14, f);
    fwrite(bmpinfoheader, 1, 40, f);

    // Iterate over the matrix and write each row as a bitmask
    for (int i = 0; i < height; i++) {
        // Create a bitmask for the current row
        unsigned char rowdata = 0;

        for (int j = 0; j < width; j++) {
            if (matrix[j][i]) {
                // Set the corresponding bit in the bitmask
                rowdata |= 1 << (7 - j);
            }
        }

        fwrite(&rowdata, 1, 1, f);
    }

    fclose(f);

    return 0;
}