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Chen Yisong
benchmark
Commits
d577987f
Commit
d577987f
authored
May 23, 2016
by
Ismael
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81 deletions
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-81
minimal_leastsq.cc
src/minimal_leastsq.cc
+74
-73
minimal_leastsq.h
src/minimal_leastsq.h
+8
-8
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src/minimal_leastsq.cc
View file @
d577987f
...
@@ -21,21 +21,21 @@
...
@@ -21,21 +21,21 @@
// Internal function to calculate the different scalability forms
// Internal function to calculate the different scalability forms
double
FittingCurve
(
double
n
,
benchmark
::
BigO
complexity
)
{
double
FittingCurve
(
double
n
,
benchmark
::
BigO
complexity
)
{
switch
(
complexity
)
{
switch
(
complexity
)
{
case
benchmark
:
:
oN
:
case
benchmark
:
:
oN
:
return
n
;
return
n
;
case
benchmark
:
:
oNSquared
:
case
benchmark
:
:
oNSquared
:
return
pow
(
n
,
2
);
return
pow
(
n
,
2
);
case
benchmark
:
:
oNCubed
:
case
benchmark
:
:
oNCubed
:
return
pow
(
n
,
3
);
return
pow
(
n
,
3
);
case
benchmark
:
:
oLogN
:
case
benchmark
:
:
oLogN
:
return
log2
(
n
);
return
log2
(
n
);
case
benchmark
:
:
oNLogN
:
case
benchmark
:
:
oNLogN
:
return
n
*
log2
(
n
);
return
n
*
log2
(
n
);
case
benchmark
:
:
o1
:
case
benchmark
:
:
o1
:
default:
default:
return
1
;
return
1
;
}
}
}
}
// Internal function to find the coefficient for the high-order term in the running time, by minimizing the sum of squares of relative error.
// Internal function to find the coefficient for the high-order term in the running time, by minimizing the sum of squares of relative error.
...
@@ -45,44 +45,44 @@ double FittingCurve(double n, benchmark::BigO complexity) {
...
@@ -45,44 +45,44 @@ double FittingCurve(double n, benchmark::BigO complexity) {
// For a deeper explanation on the algorithm logic, look the README file at http://github.com/ismaelJimenez/Minimal-Cpp-Least-Squared-Fit
// For a deeper explanation on the algorithm logic, look the README file at http://github.com/ismaelJimenez/Minimal-Cpp-Least-Squared-Fit
LeastSq
CalculateLeastSq
(
const
std
::
vector
<
int
>&
n
,
const
std
::
vector
<
double
>&
time
,
const
benchmark
::
BigO
complexity
)
{
LeastSq
CalculateLeastSq
(
const
std
::
vector
<
int
>&
n
,
const
std
::
vector
<
double
>&
time
,
const
benchmark
::
BigO
complexity
)
{
CHECK_NE
(
complexity
,
benchmark
::
oAuto
);
CHECK_NE
(
complexity
,
benchmark
::
oAuto
);
double
sigma_gn
=
0
;
double
sigma_gn
=
0
;
double
sigma_gn_squared
=
0
;
double
sigma_gn_squared
=
0
;
double
sigma_time
=
0
;
double
sigma_time
=
0
;
double
sigma_time_gn
=
0
;
double
sigma_time_gn
=
0
;
// Calculate least square fitting parameter
// Calculate least square fitting parameter
for
(
size_t
i
=
0
;
i
<
n
.
size
();
++
i
)
{
for
(
size_t
i
=
0
;
i
<
n
.
size
();
++
i
)
{
double
gn_i
=
FittingCurve
(
n
[
i
],
complexity
);
double
gn_i
=
FittingCurve
(
n
[
i
],
complexity
);
sigma_gn
+=
gn_i
;
sigma_gn
+=
gn_i
;
sigma_gn_squared
+=
gn_i
*
gn_i
;
sigma_gn_squared
+=
gn_i
*
gn_i
;
sigma_time
+=
time
[
i
];
sigma_time
+=
time
[
i
];
sigma_time_gn
+=
time
[
i
]
*
gn_i
;
sigma_time_gn
+=
time
[
i
]
*
gn_i
;
}
}
LeastSq
result
;
LeastSq
result
;
result
.
complexity
=
complexity
;
result
.
complexity
=
complexity
;
// Calculate complexity.
// Calculate complexity.
// o1 is treated as an special case
// o1 is treated as an special case
if
(
complexity
!=
benchmark
::
o1
)
if
(
complexity
!=
benchmark
::
o1
)
result
.
coef
=
sigma_time_gn
/
sigma_gn_squared
;
result
.
coef
=
sigma_time_gn
/
sigma_gn_squared
;
else
else
result
.
coef
=
sigma_time
/
n
.
size
();
result
.
coef
=
sigma_time
/
n
.
size
();
// Calculate RMS
// Calculate RMS
double
rms
=
0
;
double
rms
=
0
;
for
(
size_t
i
=
0
;
i
<
n
.
size
();
++
i
)
{
for
(
size_t
i
=
0
;
i
<
n
.
size
();
++
i
)
{
double
fit
=
result
.
coef
*
FittingCurve
(
n
[
i
],
complexity
);
double
fit
=
result
.
coef
*
FittingCurve
(
n
[
i
],
complexity
);
rms
+=
pow
((
time
[
i
]
-
fit
),
2
);
rms
+=
pow
((
time
[
i
]
-
fit
),
2
);
}
}
double
mean
=
sigma_time
/
n
.
size
();
double
mean
=
sigma_time
/
n
.
size
();
result
.
rms
=
sqrt
(
rms
/
n
.
size
())
/
mean
;
// Normalized RMS by the mean of the observed values
result
.
rms
=
sqrt
(
rms
/
n
.
size
())
/
mean
;
// Normalized RMS by the mean of the observed values
return
result
;
return
result
;
}
}
// Find the coefficient for the high-order term in the running time, by minimizing the sum of squares of relative error.
// Find the coefficient for the high-order term in the running time, by minimizing the sum of squares of relative error.
...
@@ -92,24 +92,24 @@ LeastSq CalculateLeastSq(const std::vector<int>& n, const std::vector<double>& t
...
@@ -92,24 +92,24 @@ LeastSq CalculateLeastSq(const std::vector<int>& n, const std::vector<double>& t
// the best fitting curve.
// the best fitting curve.
LeastSq
MinimalLeastSq
(
const
std
::
vector
<
int
>&
n
,
const
std
::
vector
<
double
>&
time
,
const
benchmark
::
BigO
complexity
)
{
LeastSq
MinimalLeastSq
(
const
std
::
vector
<
int
>&
n
,
const
std
::
vector
<
double
>&
time
,
const
benchmark
::
BigO
complexity
)
{
CHECK_EQ
(
n
.
size
(),
time
.
size
());
CHECK_EQ
(
n
.
size
(),
time
.
size
());
CHECK_GE
(
n
.
size
(),
2
);
// Do not compute fitting curve is less than two benchmark runs are given
CHECK_GE
(
n
.
size
(),
2
);
// Do not compute fitting curve is less than two benchmark runs are given
CHECK_NE
(
complexity
,
benchmark
::
oNone
);
CHECK_NE
(
complexity
,
benchmark
::
oNone
);
if
(
complexity
==
benchmark
::
oAuto
)
{
if
(
complexity
==
benchmark
::
oAuto
)
{
std
::
vector
<
benchmark
::
BigO
>
fit_curves
=
{
benchmark
::
oLogN
,
benchmark
::
oN
,
benchmark
::
oNLogN
,
benchmark
::
oNSquared
,
benchmark
::
oNCubed
};
std
::
vector
<
benchmark
::
BigO
>
fit_curves
=
{
benchmark
::
oLogN
,
benchmark
::
oN
,
benchmark
::
oNLogN
,
benchmark
::
oNSquared
,
benchmark
::
oNCubed
};
LeastSq
best_fit
=
CalculateLeastSq
(
n
,
time
,
benchmark
::
o1
);
// Take o1 as default best fitting curve
LeastSq
best_fit
=
CalculateLeastSq
(
n
,
time
,
benchmark
::
o1
);
// Take o1 as default best fitting curve
// Compute all possible fitting curves and stick to the best one
// Compute all possible fitting curves and stick to the best one
for
(
const
auto
&
fit
:
fit_curves
)
{
for
(
const
auto
&
fit
:
fit_curves
)
{
LeastSq
current_fit
=
CalculateLeastSq
(
n
,
time
,
fit
);
LeastSq
current_fit
=
CalculateLeastSq
(
n
,
time
,
fit
);
if
(
current_fit
.
rms
<
best_fit
.
rms
)
if
(
current_fit
.
rms
<
best_fit
.
rms
)
best_fit
=
current_fit
;
best_fit
=
current_fit
;
}
}
return
best_fit
;
return
best_fit
;
}
}
else
else
return
CalculateLeastSq
(
n
,
time
,
complexity
);
return
CalculateLeastSq
(
n
,
time
,
complexity
);
}
}
\ No newline at end of file
src/minimal_leastsq.h
View file @
d577987f
...
@@ -30,14 +30,14 @@
...
@@ -30,14 +30,14 @@
// best fitting curve detected.
// best fitting curve detected.
struct
LeastSq
{
struct
LeastSq
{
LeastSq
()
:
LeastSq
()
:
coef
(
0
),
coef
(
0
),
rms
(
0
),
rms
(
0
),
complexity
(
benchmark
::
oNone
)
{}
complexity
(
benchmark
::
oNone
)
{}
double
coef
;
double
coef
;
double
rms
;
double
rms
;
benchmark
::
BigO
complexity
;
benchmark
::
BigO
complexity
;
};
};
// Find the coefficient for the high-order term in the running time, by minimizing the sum of squares of relative error.
// Find the coefficient for the high-order term in the running time, by minimizing the sum of squares of relative error.
...
...
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