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Toom–Cook multiplication
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=== Toom-1.5 === Toom-1.5 (''k''<sub>''m''</sub> = 2, ''k''<sub>''n''</sub> = 1) is still degenerate: it recursively reduces one input by halving its size, but leaves the other input unchanged, hence we can make it into a multiplication algorithm only if we supply a 1 × ''n'' multiplication algorithm as a base case (whereas the true Toom–Cook algorithm reduces to constant-size base cases). It requires 2 evaluation points, here chosen to be 0 and ∞. Its interpolation matrix is then the identity matrix: : <math>\left(\begin{matrix}1 & 0 \\ 0 & 1\end{matrix}\right)^{-1} = \left(\begin{matrix}1 & 0 \\ 0 & 1\end{matrix}\right).</math> The algorithm is essentially equivalent to a form of long multiplication: both coefficients of one factor are multiplied by the sole coefficient of the other factor.
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