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edx-platform
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b9ec6c7d
Commit
b9ec6c7d
authored
Dec 15, 2011
by
Piotr Mitros
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b9ec6c7d
import
math
import
operator
from
pyparsing
import
Word
,
alphas
,
nums
,
oneOf
,
Literal
from
pyparsing
import
ZeroOrMore
,
OneOrMore
,
StringStart
from
pyparsing
import
StringEnd
,
Optional
,
Forward
from
pyparsing
import
CaselessLiteral
,
Group
,
StringEnd
from
pyparsing
import
NoMatch
def
evaluator
(
variables
,
functions
,
string
):
''' Evaluate an expression. Variables are passed as a dictionary
from string to value. Unary functions are passed as a dictionary
from string to function '''
if
string
.
strip
()
==
""
:
return
float
(
'nan'
)
ops
=
{
"^"
:
operator
.
pow
,
"*"
:
operator
.
mul
,
"/"
:
operator
.
truediv
,
"+"
:
operator
.
add
,
"-"
:
operator
.
sub
,
}
suffixes
=
{
'
%
'
:
0.01
,
'k'
:
1e3
,
'M'
:
1e6
,
'G'
:
1e9
,
'T'
:
1e12
,
'P'
:
1e15
,
'E'
:
1e18
,
'Z'
:
1e21
,
'Y'
:
1e24
,
'c'
:
1e-2
,
'm'
:
1e-3
,
'u'
:
1e-6
,
'n'
:
1e-9
,
'p'
:
1e-12
,
'f'
:
1e-15
,
'a'
:
1e-18
,
'z'
:
1e-21
,
'y'
:
1e-24
}
def
super_float
(
text
):
''' Like float, but with si extensions. 1k goes to 1000'''
if
text
[
-
1
]
in
suffixes
:
return
float
(
text
[:
-
1
])
*
suffixes
[
text
[
-
1
]]
else
:
return
float
(
text
)
def
number_parse_action
(
x
):
# [ '7' ] -> [ 7 ]
return
[
super_float
(
""
.
join
(
x
))]
def
exp_parse_action
(
x
):
# [ 2 ^ 3 ^ 2 ] -> 512
x
=
[
e
for
e
in
x
if
type
(
e
)
==
float
]
# Ignore ^
x
.
reverse
()
x
=
reduce
(
lambda
a
,
b
:
b
**
a
,
x
)
return
x
def
parallel
(
x
):
# Parallel resistors [ 1 2 ] => 2/3
if
len
(
x
)
==
1
:
return
x
[
0
]
if
0
in
x
:
return
float
(
'nan'
)
x
=
[
1.
/
e
for
e
in
x
if
type
(
e
)
==
float
]
# Ignore ^
return
1.
/
sum
(
x
)
def
sum_parse_action
(
x
):
# [ 1 + 2 - 3 ] -> 0
total
=
0.0
op
=
ops
[
'+'
]
for
e
in
x
:
if
e
in
set
(
'+-'
):
op
=
ops
[
e
]
else
:
total
=
op
(
total
,
e
)
return
total
def
prod_parse_action
(
x
):
# [ 1 * 2 / 3 ] => 0.66
prod
=
1.0
op
=
ops
[
'*'
]
for
e
in
x
:
if
e
in
set
(
'*/'
):
op
=
ops
[
e
]
else
:
prod
=
op
(
prod
,
e
)
return
prod
def
func_parse_action
(
x
):
return
[
functions
[
x
[
0
]](
x
[
1
])]
number_suffix
=
reduce
(
lambda
a
,
b
:
a
|
b
,
map
(
Literal
,
suffixes
.
keys
()),
NoMatch
())
(
dot
,
minus
,
plus
,
times
,
div
,
lpar
,
rpar
,
exp
)
=
map
(
Literal
,
".-+*/()^"
)
number_part
=
Word
(
nums
)
number
=
Optional
(
"+-"
)
+
number_part
+
Optional
(
"."
+
number_part
)
+
\
Optional
(
CaselessLiteral
(
"E"
)
+
Optional
(
"-"
)
+
number_part
)
+
\
Optional
(
number_suffix
)
number
=
number
.
setParseAction
(
number_parse_action
)
expr
=
Forward
()
factor
=
Forward
()
def
sreduce
(
f
,
l
):
''' Same as reduce, but handle len 1 and len 0 lists sensibly '''
if
len
(
l
)
==
0
:
return
NoMatch
()
if
len
(
l
)
==
1
:
return
l
[
0
]
return
reduce
(
f
,
l
)
if
len
(
variables
)
>
0
:
varnames
=
sreduce
(
lambda
x
,
y
:
x
|
y
,
map
(
lambda
x
:
CaselessLiteral
(
x
),
variables
.
keys
()))
varnames
.
setParseAction
(
lambda
x
:
map
(
lambda
y
:
variables
[
y
],
x
))
else
:
varnames
=
NoMatch
()
if
len
(
variables
)
>
0
:
funcnames
=
sreduce
(
lambda
x
,
y
:
x
|
y
,
map
(
lambda
x
:
CaselessLiteral
(
x
),
functions
.
keys
()))
function
=
funcnames
+
lpar
.
suppress
()
+
expr
+
rpar
.
suppress
()
function
.
setParseAction
(
func_parse_action
)
else
:
function
=
NoMatch
()
atom
=
number
|
varnames
|
lpar
+
expr
+
rpar
|
function
factor
<<
(
atom
+
ZeroOrMore
(
exp
+
atom
))
.
setParseAction
(
exp_parse_action
)
paritem
=
factor
+
ZeroOrMore
(
Literal
(
'||'
)
+
factor
)
paritem
=
paritem
.
setParseAction
(
parallel
)
term
=
paritem
+
ZeroOrMore
((
times
|
div
)
+
paritem
)
term
=
term
.
setParseAction
(
prod_parse_action
)
expr
<<
term
+
ZeroOrMore
((
plus
|
minus
)
+
term
)
expr
=
expr
.
setParseAction
(
sum_parse_action
)
return
expr
.
parseString
(
string
)[
0
]
if
__name__
==
'__main__'
:
variables
=
{
'R1'
:
2.0
,
'R3'
:
4.0
}
functions
=
{
'sin'
:
math
.
sin
,
'cos'
:
math
.
cos
}
print
"X"
,
evaluator
(
variables
,
functions
,
"10000||sin(7+5)-6k"
)
print
"X"
,
evaluator
(
variables
,
functions
,
"13"
)
print
evaluator
({
'R1'
:
2.0
,
'R3'
:
4.0
},
{},
"13"
)
#
print
evaluator
({
'a'
:
2.2997471478310274
,
'k'
:
9
,
'm'
:
8
,
'x'
:
0.66009498411213041
},
{},
"5"
)
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