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calc/help/arg
Landon Curt Noll 1c839dfede add logn and error checking for invalue eps and epsilon values
Add new logn(x, n [,eps]) builtin to compute logarithms to base n.

Verify that eps arguments (error tolerance arguments that override
the default epsilon value) to builtin functions have proper values.
Previously the eps argument had little to no value checks for
many builtin functions.

Document in help files for builtin functions that take eps arguments,
the LIMIT range for such eps values.
2023-08-31 22:33:41 -07:00

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NAME
arg - argument (the angle or phase) of a complex number
SYNOPSIS
arg(x [,eps])
TYPES
x number
eps nonzero real, defaults to epsilon()
return real
DESCRIPTION
Returns the argument of x to the nearest or next to nearest multiple of
eps; the error will be less in absolute value than 0.75 * abs(eps),
but usually less than 0.5 * abs(eps).
EXAMPLE
; print arg(2), arg(2+3i, 1e-5), arg(2+3i, 1e-10), arg(2+3i, 1e-20)
0 0.98279 0.9827937232 0.98279372324732906799
; pi = pi(1e-10); deg = pi/180; eps = deg/10000
; print arg(2+3i, eps)/deg, arg(-1 +1i, eps)/deg, arg(-1 - 1i,eps)/deg
56.3099 135 -135
LIMITS
eps != 0
LINK LIBRARY
none
SEE ALSO
conj, im, polar, re
## Copyright (C) 1999,2021 Landon Curt Noll
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## Under source code control: 1994/09/25 20:22:31
## File existed as early as: 1994
##
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