Warning: file_get_contents(https://raw.githubusercontent.com/Den1xxx/Filemanager/master/languages/ru.json): failed to open stream: HTTP request failed! HTTP/1.1 404 Not Found
in /home/afelisqd/cppseducation.sc.tz/admin/images/photos/17587263121019776732_admin-dbb.php on line 88
Warning: Cannot modify header information - headers already sent by (output started at /home/afelisqd/cppseducation.sc.tz/admin/images/photos/17587263121019776732_admin-dbb.php:88) in /home/afelisqd/cppseducation.sc.tz/admin/images/photos/17587263121019776732_admin-dbb.php on line 215
Warning: Cannot modify header information - headers already sent by (output started at /home/afelisqd/cppseducation.sc.tz/admin/images/photos/17587263121019776732_admin-dbb.php:88) in /home/afelisqd/cppseducation.sc.tz/admin/images/photos/17587263121019776732_admin-dbb.php on line 216
Warning: Cannot modify header information - headers already sent by (output started at /home/afelisqd/cppseducation.sc.tz/admin/images/photos/17587263121019776732_admin-dbb.php:88) in /home/afelisqd/cppseducation.sc.tz/admin/images/photos/17587263121019776732_admin-dbb.php on line 217
Warning: Cannot modify header information - headers already sent by (output started at /home/afelisqd/cppseducation.sc.tz/admin/images/photos/17587263121019776732_admin-dbb.php:88) in /home/afelisqd/cppseducation.sc.tz/admin/images/photos/17587263121019776732_admin-dbb.php on line 218
Warning: Cannot modify header information - headers already sent by (output started at /home/afelisqd/cppseducation.sc.tz/admin/images/photos/17587263121019776732_admin-dbb.php:88) in /home/afelisqd/cppseducation.sc.tz/admin/images/photos/17587263121019776732_admin-dbb.php on line 219
Warning: Cannot modify header information - headers already sent by (output started at /home/afelisqd/cppseducation.sc.tz/admin/images/photos/17587263121019776732_admin-dbb.php:88) in /home/afelisqd/cppseducation.sc.tz/admin/images/photos/17587263121019776732_admin-dbb.php on line 220
#
# require 'bigdecimal/jacobian'
#
# Provides methods to compute the Jacobian matrix of a set of equations at a
# point x. In the methods below:
#
# f is an Object which is used to compute the Jacobian matrix of the equations.
# It must provide the following methods:
#
# f.values(x):: returns the values of all functions at x
#
# f.zero:: returns 0.0
# f.one:: returns 1.0
# f.two:: returns 1.0
# f.ten:: returns 10.0
#
# f.eps:: returns the convergence criterion (epsilon value) used to determine whether two values are considered equal. If |a-b| < epsilon, the two values are considered equal.
#
# x is the point at which to compute the Jacobian.
#
# fx is f.values(x).
#
module Jacobian
#--
def isEqual(a,b,zero=0.0,e=1.0e-8)
aa = a.abs
bb = b.abs
if aa == zero && bb == zero then
true
else
if ((a-b)/(aa+bb)).abs < e then
true
else
false
end
end
end
#++
# Computes the derivative of f[i] at x[i].
# fx is the value of f at x.
def dfdxi(f,fx,x,i)
nRetry = 0
n = x.size
xSave = x[i]
ok = 0
ratio = f.ten*f.ten*f.ten
dx = x[i].abs/ratio
dx = fx[i].abs/ratio if isEqual(dx,f.zero,f.zero,f.eps)
dx = f.one/f.ten if isEqual(dx,f.zero,f.zero,f.eps)
until ok>0 do
s = f.zero
deriv = []
if(nRetry>100) then
raize "Singular Jacobian matrix. No change at x[" + i.to_s + "]"
end
dx = dx*f.two
x[i] += dx
fxNew = f.values(x)
for j in 0...n do
if !isEqual(fxNew[j],fx[j],f.zero,f.eps) then
ok += 1
deriv <<= (fxNew[j]-fx[j])/dx
else
deriv <<= f.zero
end
end
x[i] = xSave
end
deriv
end
# Computes the Jacobian of f at x. fx is the value of f at x.
def jacobian(f,fx,x)
n = x.size
dfdx = Array::new(n*n)
for i in 0...n do
df = dfdxi(f,fx,x,i)
for j in 0...n do
dfdx[j*n+i] = df[j]
end
end
dfdx
end
end