Colors

Colors

Colors in the ray tracer are represented as (red, green, blue) triples where 0 is no intensity and 1 is full intensity. Values can exceed 1 (very bright) — they're clamped when writing to images.

The Color Class

class Color {
public:
    double r, g, b;
    Color(double r, double g, double b) : r(r), g(g), b(b) {}
};

Color Operations

Colors support the same arithmetic as tuples:

// Addition: mix two lights
Color addColors(Color a, Color b) {
    return Color(a.r + b.r, a.g + b.g, a.b + b.b);
}

The Hadamard product (component-wise multiplication) blends a surface color with a light color:

// Hadamard product: surface color filtered by light color
Color hadamard(Color a, Color b) {
    return Color(a.r * b.r, a.g * b.g, a.b * b.b);
}

Example

A red surface Color(1, 0, 0) illuminated by white light Color(1, 1, 1):

hadamard(red, white) = Color(1*1, 0*1, 0*1) = Color(1, 0, 0)

The surface appears red. Under a green light Color(0, 1, 0):

hadamard(red, green) = Color(1*0, 0*1, 0*0) = Color(0, 0, 0)

The surface appears black — no reflected light.

Your Task

Implement addColors and hadamard.

Expected output:

1 1 0
2 6 12