IDL

ALOG10

ALOG10

The ALOG10 function returns the logarithm to the base 10 of X.

For input of a complex number, Z = X + iY, the complex number can be rewritten as Z = R exp(iq), where R = abs(Z) and q = atan(y,x). The complex log base 10 is then given by,

alog10(Z) = alog10(R) + i q/alog(10)

In the above formula, the use of the two-argument arctangent separates the solutions at Y = 0 and takes into account the branch-cut discontinuity along the real axis from -∞ to 0, and ensures that 10^(alog10(Z)) is equal to Z 1. For details see formulas 4.4.1-3 in Abramowitz, M. and Stegun, I.A., 1964: Handbook of Mathematical Functions (Washington: National Bureau of Standards).

Examples


Find the base 10 logarithm of 100 and print the result by entering:

PRINT, ALOG10(100)

IDL prints:

2.00000
 

See the ATAN function for an example of visualizing the complex logarithm.

Syntax


Result = ALOG10(X)

Return Value


Returns the logarithm to the base 10 of X.

Arguments


X

The value for which the base 10 log is desired. For real input, X should be greater than or equal to zero. If X is double-precision floating or complex, the result is of the same type. All other types are converted to single-precision floating-point and yield floating-point results. If X is an array, the result has the same dimensions, with each element containing the base 10 log of the corresponding element of X.

Keywords


Thread Pool Keywords

This routine is written to make use of IDL’s thread pool, which can increase execution speed on systems with multiple CPUs. The values stored in the !CPU system variable control whether IDL uses the thread pool for a given computation. In addition, you can use the thread pool keywords TPOOL_MAX_ELTS, TPOOL_MIN_ELTS, and TPOOL_NOTHREAD to override the defaults established by !CPU for a single invocation of this routine. See Thread Pool Keywords for details.

Version History


Original

Introduced

See Also


ALOG, ALOG2, ATAN

Notes


This page has no user notes yet. Be the first one!


This information is not subject to the controls of the International Traffic in Arms Regulations (ITAR) or the Export Administration Regulations (EAR). However, it may be restricted from transfer to various embargoed countries under U.S. laws and regulations.
© 2014 Exelis Visual Information Solutions