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钟尚武
dlib
Commits
37d17745
Commit
37d17745
authored
May 25, 2013
by
Davis King
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Added missing dlib namespace
parent
d93a02e8
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2 changed files
with
79 additions
and
71 deletions
+79
-71
integrate_function_adapt_simpson.h
.../numerical_integration/integrate_function_adapt_simpson.h
+53
-50
integrate_function_adapt_simpson_abstract.h
...l_integration/integrate_function_adapt_simpson_abstract.h
+26
-21
No files found.
dlib/numerical_integration/integrate_function_adapt_simpson.h
View file @
37d17745
...
...
@@ -7,72 +7,75 @@
// ----------------------------------------------------------------------------------------
template
<
typename
T
,
typename
funct
>
T
impl_adapt_simp_stop
(
const
funct
&
f
,
T
a
,
T
b
,
T
fa
,
T
fm
,
T
fb
,
T
is
,
int
cnt
)
namespace
dlib
{
const
int
MAXINT
=
500
;
T
m
=
(
a
+
b
)
/
2
.
0
;
T
h
=
(
b
-
a
)
/
4
.
0
;
T
fml
=
f
(
a
+
h
);
T
fmr
=
f
(
b
-
h
);
T
i1
=
h
/
1
.
5
*
(
fa
+
4
.
0
*
fm
+
fb
);
T
i2
=
h
/
3
.
0
*
(
fa
+
4
.
0
*
(
fml
+
fmr
)
+
2
.
0
*
fm
+
fb
);
i1
=
(
16
.
0
*
i2
-
i1
)
/
15
.
0
;
T
Q
=
0
;
if
((
std
::
abs
(
i1
-
i2
)
<=
std
::
abs
(
is
))
||
(
m
<=
a
)
||
(
b
<=
m
))
template
<
typename
T
,
typename
funct
>
T
impl_adapt_simp_stop
(
const
funct
&
f
,
T
a
,
T
b
,
T
fa
,
T
fm
,
T
fb
,
T
is
,
int
cnt
)
{
Q
=
i1
;
}
else
{
if
(
cnt
<
MAXINT
)
const
int
MAXINT
=
500
;
T
m
=
(
a
+
b
)
/
2
.
0
;
T
h
=
(
b
-
a
)
/
4
.
0
;
T
fml
=
f
(
a
+
h
);
T
fmr
=
f
(
b
-
h
);
T
i1
=
h
/
1
.
5
*
(
fa
+
4
.
0
*
fm
+
fb
);
T
i2
=
h
/
3
.
0
*
(
fa
+
4
.
0
*
(
fml
+
fmr
)
+
2
.
0
*
fm
+
fb
);
i1
=
(
16
.
0
*
i2
-
i1
)
/
15
.
0
;
T
Q
=
0
;
if
((
std
::
abs
(
i1
-
i2
)
<=
std
::
abs
(
is
))
||
(
m
<=
a
)
||
(
b
<=
m
))
{
Q
=
i1
;
}
else
{
cnt
=
cnt
+
1
;
if
(
cnt
<
MAXINT
)
{
cnt
=
cnt
+
1
;
Q
=
impl_adapt_simp_stop
(
f
,
a
,
m
,
fa
,
fml
,
fm
,
is
,
cnt
)
+
impl_adapt_simp_stop
(
f
,
m
,
b
,
fm
,
fmr
,
fb
,
is
,
cnt
);
Q
=
impl_adapt_simp_stop
(
f
,
a
,
m
,
fa
,
fml
,
fm
,
is
,
cnt
)
+
impl_adapt_simp_stop
(
f
,
m
,
b
,
fm
,
fmr
,
fb
,
is
,
cnt
);
}
}
}
return
Q
;
}
return
Q
;
}
// ----------------------------------------------------------------------------------------
template
<
typename
T
,
typename
funct
>
T
integrate_function_adapt_simp
(
const
funct
&
f
,
T
a
,
T
b
,
T
tol
=
1e-10
)
{
T
eps
=
std
::
numeric_limits
<
T
>::
epsilon
();
if
(
tol
<
eps
)
template
<
typename
T
,
typename
funct
>
T
integrate_function_adapt_simp
(
const
funct
&
f
,
T
a
,
T
b
,
T
tol
=
1e-10
)
{
tol
=
eps
;
}
T
eps
=
std
::
numeric_limits
<
T
>::
epsilon
();
if
(
tol
<
eps
)
{
tol
=
eps
;
}
const
T
ba
=
b
-
a
;
const
T
fa
=
f
(
a
);
const
T
fb
=
f
(
b
);
const
T
fm
=
f
((
a
+
b
)
/
2
);
const
T
ba
=
b
-
a
;
const
T
fa
=
f
(
a
);
const
T
fb
=
f
(
b
);
const
T
fm
=
f
((
a
+
b
)
/
2
);
T
is
=
ba
/
8
*
(
fa
+
fb
+
fm
+
f
(
a
+
0
.
9501
*
ba
)
+
f
(
a
+
0
.
2311
*
ba
)
+
f
(
a
+
0
.
6068
*
ba
)
+
f
(
a
+
0
.
4860
*
ba
)
+
f
(
a
+
0
.
8913
*
ba
));
T
is
=
ba
/
8
*
(
fa
+
fb
+
fm
+
f
(
a
+
0
.
9501
*
ba
)
+
f
(
a
+
0
.
2311
*
ba
)
+
f
(
a
+
0
.
6068
*
ba
)
+
f
(
a
+
0
.
4860
*
ba
)
+
f
(
a
+
0
.
8913
*
ba
));
if
(
is
==
0
)
{
is
=
b
-
a
;
}
if
(
is
==
0
)
{
is
=
b
-
a
;
}
is
=
is
*
tol
;
is
=
is
*
tol
;
int
cnt
=
0
;
int
cnt
=
0
;
return
impl_adapt_simp_stop
(
f
,
a
,
b
,
fa
,
fm
,
fb
,
is
,
cnt
);
return
impl_adapt_simp_stop
(
f
,
a
,
b
,
fa
,
fm
,
fb
,
is
,
cnt
);
}
}
// ----------------------------------------------------------------------------------------
...
...
dlib/numerical_integration/integrate_function_adapt_simpson_abstract.h
View file @
37d17745
...
...
@@ -3,27 +3,32 @@
#undef DLIB_INTEGRATE_FUNCTION_ADAPT_SIMPSON_ABSTRACT__
#ifdef DLIB_INTEGRATE_FUNCTION_ADAPT_SIMPSON_ABSTRACT__
template
<
typename
T
,
typename
funct
>
T
integrate_function_adapt_simp
(
const
funct
&
f
,
T
a
,
T
b
,
T
tol
=
1e-10
);
/*!
requires
- b > a
- tol > 0
- T should be either float, double, or long double
- The expression f(a) should be a valid expression that evaluates to a T.
I.e. f() should be a real valued function of a single variable.
ensures
- returns an approximation of the integral of f over the domain [a,b] using the
adaptive Simpson method outlined in Gander, W. and W. Gautshi, "Adaptive
Quadrature -- Revisited" BIT, Vol. 40, (2000), pp.84-101
- tol is a tolerance parameter that determines the overall accuracy of approximated
integral. We suggest a default value of 1e-10 for tol.
!*/
namespace
dlib
{
template
<
typename
T
,
typename
funct
>
T
integrate_function_adapt_simp
(
const
funct
&
f
,
T
a
,
T
b
,
T
tol
=
1e-10
);
/*!
requires
- b > a
- tol > 0
- T should be either float, double, or long double
- The expression f(a) should be a valid expression that evaluates to a T.
I.e. f() should be a real valued function of a single variable.
ensures
- returns an approximation of the integral of f over the domain [a,b] using the
adaptive Simpson method outlined in Gander, W. and W. Gautshi, "Adaptive
Quadrature -- Revisited" BIT, Vol. 40, (2000), pp.84-101
- tol is a tolerance parameter that determines the overall accuracy of
approximated integral. We suggest a default value of 1e-10 for tol.
!*/
}
#endif // DLIB_INTEGRATE_FUNCTION_ADAPT_SIMPSON__
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