Editing CubicInterpolation
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!! Description Given four points and suppose it's necessary to fit a cubic through them. Let EQN:y(x)=ax^3+bx^2+cx+d in which * EQN:y(-3)=\alpha * EQN:y(-1)=\beta * EQN:y(1)=\gamma * EQN:y(3)=\delta Then: * EQN:a=\frac{1}{48}((\delta-\alpha)-3(\gamma-\beta)) * EQN:b=\frac{1}{16}((\delta+\alpha)-(\gamma+\beta)) * EQN:c=\frac{1}{48}(27(\gamma-\beta)-(\delta-\alpha)) * EQN:d=\frac{1}{16}(9(\gamma+\beta)-(\delta+\alpha))