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|
|\^/| Maple 7 (DEC ALPHA UNIX)
._|\| |/|_. Copyright (c) 2001 by Waterloo Maple Inc.
\ MAPLE / All rights reserved. Maple is a registered trademark of
<____ ____> Waterloo Maple Inc.
| Type ? for help.
# test_patch_system.maple -- test function for test_fd_grid
# $Id: test_patch_system.maple,v 1.4 2001/09/15 18:06:33 jthorn Exp $
>
# test function
> fn := exp(sin(1.38*rho)) * tanh(0.17+0.83*sin(sigma)^2);
2
fn := exp(sin(1.38 rho)) tanh(.17 + .83 sin(sigma) )
>
# 1st derivatives
> diff(fn, rho); codegen[C](%);
2
1.38 cos(1.38 rho) exp(sin(1.38 rho)) tanh(.17 + .83 sin(sigma) )
t0 = 0.138E1*cos(0.138E1*rho)*exp(sin(0.138E1*rho))*tanh(0.17+0.83*pow(
sin(sigma),2.0));
> diff(fn, sigma); codegen[C](%);
1.66
2 2
exp(sin(1.38 rho)) (1 - tanh(.17 + .83 sin(sigma) ) ) sin(sigma) cos(sigma)
t0 = 0.166E1*exp(sin(0.138E1*rho))*(1.0-pow(tanh(0.17+0.83*pow(sin(sigma)
,2.0)),2.0))*sin(sigma)*cos(sigma);
>
# 2nd derivatives
> diff(fn, rho,rho); codegen[C](%);
2
-1.9044 sin(1.38 rho) exp(sin(1.38 rho)) tanh(.17 + .83 sin(sigma) )
2 2
+ 1.9044 cos(1.38 rho) exp(sin(1.38 rho)) tanh(.17 + .83 sin(sigma) )
t0 = -0.19044E1*sin(0.138E1*rho)*exp(sin(0.138E1*rho))*tanh(0.17+0.83*pow
(sin(sigma),2.0))+0.19044E1*pow(cos(0.138E1*rho),2.0)*exp(sin(0.138E1*rho))*
tanh(0.17+0.83*pow(sin(sigma),2.0));
> diff(fn, rho,sigma); codegen[C](%);
2 2
2.2908 cos(1.38 rho) exp(sin(1.38 rho)) (1 - tanh(.17 + .83 sin(sigma) ) )
sin(sigma) cos(sigma)
t0 = 0.22908E1*cos(0.138E1*rho)*exp(sin(0.138E1*rho))*(1.0-pow(tanh(0.17+
0.83*pow(sin(sigma),2.0)),2.0))*sin(sigma)*cos(sigma);
> diff(fn, sigma,sigma); codegen[C](%);
2
-5.5112 exp(sin(1.38 rho)) tanh(.17 + .83 sin(sigma) )
2 2 2 2
(1 - tanh(.17 + .83 sin(sigma) ) ) sin(sigma) cos(sigma)
2 2 2
+ 1.66 exp(sin(1.38 rho)) (1 - tanh(.17 + .83 sin(sigma) ) ) cos(sigma)
2 2 2
- 1.66 exp(sin(1.38 rho)) (1 - tanh(.17 + .83 sin(sigma) ) ) sin(sigma)
t0 = -0.55112E1*exp(sin(0.138E1*rho))*tanh(0.17+0.83*pow(sin(sigma),2.0))
*(1.0-pow(tanh(0.17+0.83*pow(sin(sigma),2.0)),2.0))*pow(sin(sigma),2.0)*pow(cos
(sigma),2.0)+0.166E1*exp(sin(0.138E1*rho))*(1.0-pow(tanh(0.17+0.83*pow(sin(
sigma),2.0)),2.0))*pow(cos(sigma),2.0)-0.166E1*exp(sin(0.138E1*rho))*(1.0-pow(
tanh(0.17+0.83*pow(sin(sigma),2.0)),2.0))*pow(sin(sigma),2.0);
> quit
bytes used=1170560, alloc=1179432, time=0.10
|
