The LOG math function returns the natural logarithm of a specified numerical value.
Syntax: logarithm = LOG(value)
- Value parameter MUST be greater than 0!
- The natural logarithm is the logarithm to the base e = 2.718282 (approximately).
- The natural logarithm of a is defined as the integral from 1 to a of dx/x.
- Returns are default SINGLE precision unless the value parameter uses DOUBLE precision.
Example 1: FUNCTION to find the base ten logarithm of a numerical value.
FUNCTION Log10#(value AS DOUBLE) STATIC Log10# = LOG(value) / LOG(10.#) END FUNCTION
- Explanation: The natural logarithm of the value is divided by the base 10 logarithm. The LOG of ten is designated as a DOUBLE precision return by using # after the Log10 value.
Example 2: A binary FUNCTION to convert INTEGER values using LOG to find the number of digits the return will be.
FUNCTION Bin$ (n&) FOR p% = 0 TO LOG(n& + .1) \ LOG(2) ' added +.1 to get 0 to work IF n& AND 2 ^ p% THEN s$ = "1" + s$ ELSE s$ = "0" + s$ NEXT p% IF s$ = "" THEN Bin$ = "0" ELSE Bin$ = s$ 'zero return? END FUNCTION
- Explanation: The LOG of the INTEGER value is integer divided by the LOG of 2 to determine the highest valid bit that will be returned. The FOR loop compares the value with the exponents of two and determines if a bit is ON or OFF as "1" or "0".