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Top Forums UNIX for Beginners Questions & Answers Calculate e raise to the power in awk | UNIX Post 303041159 by wisecracker on Friday 15th of November 2019 05:11:58 PM
Old 11-15-2019
Assuming your formula is correct, checked longhand in Python 3.8.0 using the math library:
Code:
Last login: Fri Nov 15 17:16:16 on ttys000
AMIGA:amiga~> python3.8
Python 3.8.0rc1 (v3.8.0rc1:34214de6ab, Oct  1 2019, 12:56:49) 
[Clang 6.0 (clang-600.0.57)] on darwin
Type "help", "copyright", "credits" or "license" for more information.
>>> import math
>>> 
>>> math.exp((0.5-0.013)*0.5)/(1.0+math.exp((0.5-0.013)*0.5))
0.5605759881403045
>>> math.exp((0.5-0.01125)*0.5)/(1.0+math.exp((0.5-0.01125)*0.5))
0.5607915159336736
>>> math.exp((0.5-0.3581)*0.5)/(1.0+math.exp((0.5-0.3581)*0.5))
0.5177300630065548
>>> math.exp((1.0-0.005268)*25)/(1.0+math.exp((1.0-0.005268)*25))
0.9999999999841571
>>> _

So your rounded values seem OK.
Again this assumes that your formula is correct.
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EXP(3)							   BSD Library Functions Manual 						    EXP(3)

NAME
exp, expf, exp2, exp2f, expm1, expm1f, -- exponential functions LIBRARY
Math Library (libm, -lm) SYNOPSIS
#include <math.h> double exp(double x); float expf(float x); double exp2(double x); float exp2f(float x); double expm1(double x); float expm1f(float x); DESCRIPTION
The exp() and the expf() functions compute the base e exponential value of the given argument x. The exp2(), and exp2f() functions compute the base 2 exponential of the given argument x. The expm1() and the expm1f() functions computes the value exp(x)-1 accurately even for tiny argument x. RETURN VALUES
These functions will return the appropriate computation unless an error occurs or an argument is out of range. The functions exp() and expm1() detect if the computed value will overflow, set the global variable errno to ERANGE and cause a reserved operand fault on a VAX. SEE ALSO
math(3) STANDARDS
The exp() functions conform to ANSI X3.159-1989 (``ANSI C89''). The exp2(), exp2f(), expf(), expm1(), and expm1f() functions conform to ISO/IEC 9899:1999 (``ISO C99''). HISTORY
The exp() functions appeared in Version 6 AT&T UNIX. The expm1() function appeared in 4.3BSD. BSD
September 13, 2011 BSD
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