In our example, the number was just six digits long for illustration. In reality, there would be little point in applying the algorithm to such a small number since our processor could multiply two numbers of this magnitude in a single instruction taking one or two clock cycles. But on ...
ExampleIn the complete implementation of Karatsuba Algorithm, we are trying to multiply two higher-valued numbers. Here, since the long data type accepts decimals upto 18 places, we take the inputs as long values. The Karatsuba function is called recursively until the final product is obtained....
configurable): the various numeric functions that use mul_var() are immutable, which means that the results from the Karatsuba algorithm must match those from the schoolbook algorithm exactly, for all inputs. That's not currently the case when computing approximate results with a reduced rscale....
> implementing the Karatsuba algorithm, it is implementing the > schoolbook algorithm in two steps, by splitting the longer input into > two pieces. The surprising realization here is that there are actually (var1ndigits, var2ndigits) combinations where *only* doing mul_var_karatsuba_half() r...