Please read the general instructions on this page first, and then check the individual tasks for more details. For each task you can download a zip file that contains the code templates you can use for development.

General instructions for this exercise

You need to write a function that takes as input a bitmap image and the coordinates of a rectangle, and it has to calculate the average color of all pixels inside the rectangle.

Interface

We have already defined the following type for storing the result:

struct Result {
    float avg[3];
};

You need to implement the following function:

Result calculate(int ny, int nx, const float *data,
                 int y0, int x0, int y1, int x1)

Here data is a color image with ny*nx pixels, and each pixel consists of three color components, red, green, and blue. In total, there are ny*nx*3 floating point numbers in the array data.

The color components are numbered 0 <= c < 3, x coordinates are numbered 0 <= x < nx, y coordinates are numbered 0 <= y < ny, and the value of this color component is stored in data[c + 3 * x + 3 * nx * y].

The parameters y0, x0, y1, and x1 indicate the location of the rectangle. The upper left corner of the rectangle is at coordinates (x0, y0), and the lower right corner is at coordinates (x1-1, y1-1). That is, the width of the rectangle is x1-x0 pixels and the height is y1-y0 pixels. The coordinates satisfy 0 <= y0 < y1 <= ny and 0 <= x0 < x1 <= nx.

In the result that you return, avg[c] has to contain the arithmetic mean of the color component c for all pixels inside the rectangle.

Details

Even though the input and output are single-precision floating-point numbers, you must do all arithmetic with double-precision floating point numbers, and only round the final result back to single precision.

You can assume that there are at most 10 million pixels in the input image.