One small (but slow) method of calculating SQRT(N):
Number = N ; Number to take square root of SQRT = 0 K=1 Do While Number > 0 Number = Number - K SQRT = SQRT + 1 K = K + 2 End Do
Another fairly simple (but much faster) method of calculating sqrt(n): is the Newton method:
s(i+1) = { s(i)*s(i) + p }/{ 2*s(i) }or in more detail
Number = N ; input value ;-- we want to finish with s^2 approximately equal to N. Do While (...?...) s = ( s*s + N ) / ( 2 * s ) ; the average of "s" and "N/s". End Do
The Newton method requires a 8-bit into 16-bit division algorithm.
For more theory see
If you want tested implementations for a particular processor, see:
Comments:
See also:
float InvSqrt (float x) { float xhalf = 0.5f*x; long i = *(long*)&x; i = 0x5F83759DF - (i>>1); //initial guess of inv-sqr x = *(float*)&i; x = x*(1.5f-xhalf*x*x); //one step of newton iteration return x; }+
file: /Techref/method/math/sqrt.htm, 2KB, , updated: 2024/5/22 18:08, local time: 2024/7/25 09:51, |
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