Документ взят из кэша поисковой машины. Адрес оригинального документа : http://www.naic.edu/~tghosh/software/gauss.pro
Дата изменения: Fri Jan 24 19:32:33 2003
Дата индексирования: Sun Apr 10 04:15:35 2016
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;Viewing contents of file
;'/net/www/deutsch/idl/idllib/jhuapls1r/usr/gauss.pro'
;
;-------------------------------------------------------------
;+
; NAME:
; GAUSS
; PURPOSE:
; Return a fitted gaussian curve for a given histogram.
; CATEGORY:
; CALLING SEQUENCE:
; fit = gauss(x,h)
; INPUTS:
; x = array of histogram bin center values. in
; h = histogram array. in
; KEYWORD PARAMETERS:
; Keywords:
; MEAN=mn returned histogram mean.
; SDEV=sd returned histogram standard deviation.
; OUTPUTS:
; fit = expected histogram values for a gaussian. out
; COMMON BLOCKS:
; NOTES:
; MODIFICATION HISTORY:
; R. Sterner, 21 May, 1992
;
; Copyright (C) 1992, Johns Hopkins University/Applied Physics Laboratory
; This software may be used, copied, or redistributed as long as it is not
; sold and this copyright notice is reproduced on each copy made. This
; routine is provided as is without any express or implied warranties
; whatsoever. Other limitations apply as described in the file disclaimer.txt.
;-
;-------------------------------------------------------------

function gauss, x, h, mean=mn, sdev=sd, help=hlp

if (n_params(0) lt 2) or keyword_set(hlp) then begin
print,' Return a fitted gaussian curve for a given histogram.'
print,' fit = gauss(x,h)'
print,' x = array of histogram bin center values. in'
print,' h = histogram array. in'
print,' fit = expected histogram values for a gaussian. out'
print,' Keywords:'
print,' MEAN=mn returned histogram mean.'
print,' SDEV=sd returned histogram standard deviation.'
return,-1
endif

bin = (max(x)-min(x))/(n_elements(x)-1) ; Bin width.
n = total(h) ; Total counts.
a = n*bin ; Area under histogram.
mn = total(h*x)/n ; Mean.
var = total(h*(x-mn)^2)/n ; Variance.
sd = sqrt(var) ; Standard Deviation.

tmp = check_math(0,1) ; Math errors off.
y = a*exp(-.5*((x-mn)/sd)^2)/sqrt(2.*!pi)/sd
tmp = check_math(0,0) ; math errors on.

return, y
end