| ??? 08/23/05 17:22 Read: times Msg Score: +1 +1 Informative |
#99922 - If actual fraction numbers Responding to: ???'s previous message |
If you mean actually fraction numbers that consists of integer numerator and denominator, define an integer pair, (numerator, denominator) as the data type.
Make the four operations procedure, addition, subtraction, multiplication and division as follows. Also, you'll need a reduction procedure using GCD (Greatest Common Divisor) by the Euclid reduction algorithm. For instance, Addition: N1/D1 + N2/D2 = N3/D3 (N3,D3) = (N1*D2+N2*D1, D1*D2) Then apply the reduction procedure. Subtraction: N1/D1 - N2/D2 = N3/D3 Invert the sign of N2 and call addition procedure. Multiplication N1/D1 * N2/D2 = N3/D3 (N3,D3) = (N1*N2, D1*D2) Then apply the reduction procedure. Division N1/D1 / N2/D2 = N3/D3 Swap N2 and D2 and call multiplication procedure. Tsuneo |
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