Bernstein Polynomial Basis Coefficients as derived from mix()

bernstein.glsl

// Bernstein Polynomial Basis Coefficients as derived from mix()
// x is in range 0..1
void basis (float x) {
    // basis 0
    float b00 = 1.0;

    // basis 1
    float b10 = mix(b00, 0.0, x);
    float b11 = mix(0.0, b00, x);
    
    // basis 2
    float b20 = mix(b10, 0.0, x);
    float b21 = mix(b11, b10, x);
    float b22 = mix(0.0, b11, x);
    
    // basis 3
    float b30 = mix(b20, 0.0, x);
    float b31 = mix(b21, b20, x);
    float b32 = mix(b22, b21, x);
    float b33 = mix(0.0, b22, x);
    
    // and so on
}