|
|
|
getdim(s)
If s is a representation of a vector, return the dimension. |
source code
|
|
|
strIfSeq(x)
Convert sequence of QuantSpecs or strings to a string representation
of that sequence, otherwise return the argument untouched. |
source code
|
|
|
|
|
ensureStrArgDict(d,
renderForCode=True)
Optional renderForCode argument converts any uppercase built-in
symbolic function names to lowercase numeric function names (default
True) |
source code
|
|
|
_eval(q,
math_globals,
local_free,
eval_at_runtime) |
source code
|
|
|
|
|
_join_sublist(qspec,
math_globals,
local_free,
eval_at_runtime) |
source code
|
|
|
expr2fun(qexpr,
ensure_args=None,
**values)
qexpr is a string, Quantity, or QuantSpec object. |
source code
|
|
|
subs(qexpr,
*bindings)
Substitute pars or other name bindings (as a dictionary) into a
Quantity, QuantSpec, or string containing a symbolic expression. |
source code
|
|
|
_parse_func_deriv(fname)
Internal utility to test whether a function name is generated from a
symbolic differentiation call. |
source code
|
|
|
_generate_subderivatives(symbols,
fnspecs)
Internal utility for prepJacobian |
source code
|
|
|
prepJacobian(varspecs,
coords,
fnspecs=None,
max_iter_depth=20)
Returns a symbolic Jacobian and updated function specs to support its
definition from variable specifications. |
source code
|
|
|
checkbraces(s)
Internal utility to verify that braces match. |
source code
|
|
|
whoQ(objdict=None,
deepSearch=False,
frameback=3) |
source code
|
|
|
|
|
isMultiDef(s)
Determine whether string is a candidate multiple Quantity definition. |
source code
|
|
|
|
|
|
|
processMultiRef(s,
rootname,
ixname,
ok_range) |
source code
|
|
|
isMultiDefClash(obj,
multiDefRefs,
parentname=None) |
source code
|
|
|
evalMultiRefToken(mref,
ixname,
val)
Helper function for evaluating multi-reference tokens for given index
values. |
source code
|
|
|
|
|
|
|
Diff(t,
a)
Diff expects strings, Quantity, or QuantSpec types, a mixture of
these, or a list of strings in second argument. |
source code
|
|
|
|
|
builtin_auxnames = [ ' globalindepvar ' , ' initcond ' , ' heav ' , ' if ' ...
|
|
re
|
|
replaceSepStr
|
|
num_chars = [ ' 0 ' , ' 1 ' , ' 2 ' , ' 3 ' , ' 4 ' , ' 5 ' , ' 6 ' , ' 7 ' , ' 8 ' , ' 9 ' ]
|
|
builtinFnSigInfo = { ' for ' : 4, ' getbound ' : 2, ' getindex ' : 1, ' g ...
|
|
token
|
|
specialfns
|
|
alphabet_chars_RE
|
|
collect_numbers
|
|
toCircumflexSyntax
|
|
np
|
|
syms = { 0: ' ENDMARKER ' , 1: ' NAME ' , 2: ' NUMBER ' , 3: ' STRING ' , 4...
|
|
protected_allnames = [ ' acos ' , ' asin ' , ' atan ' , ' atan2 ' , ' ceil ' , ...
|
|
ZEROS = [ ' 0 ' , ' 0.0 ' , ' 0. ' , ' (0) ' , ' (0.0) ' , ' (0.) ' ]
|
|
reserved_keywords
|
|
isVectorClause
|
|
protected_mathnames = [ ' acos ' , ' asin ' , ' atan ' , ' atan2 ' , ' ceil ' ...
|
|
parser
|
|
temp_macro_names
|
|
replaceSepQSpec
|
|
protected_macronames = [ ' for ' , ' if ' , ' max ' , ' min ' , ' sum ' ]
|
|
protected_auxnamesDB = ModelSpec internal helper class: auxfnD...
|
|
DO_DEC
|
|
protected_specialfns = [ ' special_airy ' , ' special_airye ' , ' spec ...
|
|
ensureints
|
|
convert_power_reserved_keywords
|
|
name_chars_RE = re.compile(r'\w')
|
|
protected_randomnames = [ ' BPF ' , ' LOG4 ' , ' NV_MAGICCONST ' , ' RECI ...
|
|
temp_macro_names_inv
|
|
protected_scipynames = [ ' sign ' , ' mod ' ]
|
|
toDoubleStarSyntax
|
|
symbol
|
|
TENS
|
|
POW_STR
|
|
NAMESEP = ' . '
|
|
ONES = [ ' 1 ' , ' 1.0 ' , ' 1. ' , ' (1) ' , ' (1.0) ' , ' (1.) ' ]
|
|
DO_POW
|
|
all
|
|
predicate_op
|
|
less
|
|
shape
|
|
complexfloating
|
|
DomainType
|
|
putmask
|
|
swapaxes
|
|
newton_meth
|
|
float32
|
|
take
|
|
float
|
|
greater
|
|
float96
|
|
complex_
|
|
ones
|
|
API = API_class()
|
|
targetLangs = [ ' c ' , ' python ' , ' matlab ' ]
|
|
concatenate
|
|
API_class
|
|
argmax
|
|
sign
|
|
Macheps
|
|
mat
|
|
asarray
|
|
Continuous = Continuous Domain
|
|
null_predicate = null_predicate_class(None)
|
|
complex64
|
|
transpose
|
|
atleast_1d
|
|
Discrete = Discrete Domain
|
|
float_
|
|
less_equal
|
|
platform
|
|
complex128
|
|
zeros
|
|
int_
|
|
complex192
|
|
int0
|
|
int8
|
|
argmin
|
|
double
|
|
norm
|
|
finfo
|
|
integer
|
|
spy
|
|
clip
|
|
int
|
|
logical_or
|
|
floating
|
|
argsort
|
|
any
|
|
null_predicate_class
|
|
rout
|
|
redirc
|
|
complex
|
|
LargestInt32 = 2147483647
|
|
int64
|
|
int16
|
|
npy
|
|
minpack
|
|
ndarray
|
|
searchsorted
|
|
fit_function
|
|
time
|
|
rerr
|
|
Inf = inf
|
|
NaN = nan
|
|
isfinite = <ufunc 'isfinite'>
|
|
mod = <ufunc 'remainder'>
|
|
arccos = <ufunc 'arccos'>
|
|
arcsin = <ufunc 'arcsin'>
|
|
arctan = <ufunc 'arctan'>
|
|
arctan2 = <ufunc 'arctan2'>
|
|
arccosh = <ufunc 'arccosh'>
|
|
arcsinh = <ufunc 'arcsinh'>
|
|
arctanh = <ufunc 'arctanh'>
|
|
ceil = <ufunc 'ceil'>
|
|
cos = <ufunc 'cos'>
|
|
cosh = <ufunc 'cosh'>
|
|
exp = <ufunc 'exp'>
|
|
fabs = <ufunc 'fabs'>
|
|
floor = <ufunc 'floor'>
|
|
fmod = <ufunc 'fmod'>
|
|
frexp = <ufunc 'frexp'>
|
|
hypot = <ufunc 'hypot'>
|
|
ldexp = <ufunc 'ldexp'>
|
|
log = <ufunc 'log'>
|
|
log10 = <ufunc 'log10'>
|
|
modf = <ufunc 'modf'>
|
|
power = <ufunc 'power'>
|
|
sin = <ufunc 'sin'>
|
|
sinh = <ufunc 'sinh'>
|
|
sqrt = <ufunc 'sqrt'>
|
|
tan = <ufunc 'tan'>
|
|
tanh = <ufunc 'tanh'>
|
|
pi = 3.14159265359
|
|
e = 2.71828182846
|
|
asin = <ufunc 'arcsin'>
|
|
acos = <ufunc 'arccos'>
|
|
atan = <ufunc 'arctan'>
|
|
atan2 = <ufunc 'arctan2'>
|
|
acosh = <ufunc 'arccosh'>
|
|
asinh = <ufunc 'arcsinh'>
|
|
atanh = <ufunc 'arctanh'>
|
|
pow = <ufunc 'power'>
|
|
math_dir = [ ' __doc__ ' , ' __file__ ' , ' __name__ ' , ' acos ' , ' asin ' , ...
|
|
math_globals = { ' Abs ' : Abs (ModelSpec wrapper), ' Acos ' : Acos (...
|
|
allmathnames = [ ' acos ' , ' asin ' , ' atan ' , ' atan2 ' , ' ceil ' , ' cos ' ...
|
|
allmathnames_symbolic = [ ' Acos ' , ' Asin ' , ' Atan ' , ' Atan2 ' , ' Cei ...
|
|
mathNameMap = { ' Abs ' : ' abs ' , ' Acos ' : ' acos ' , ' Asin ' : ' asin ' , ' ...
|
|
inverseMathNameMap = { ' Random ' : ' Random ' , ' SystemRandom ' : ' Sys ...
|
|
specTypes = ( ' RHSfuncSpec ' , ' ImpFuncSpec ' , ' ExpFuncSpec ' )
|
|
_functions = [ ' isMultiDef ' , ' isMultiRef ' , ' isMultiDefClash ' , ' ...
|
|
_classes = [ ' QuantSpec ' , ' Quantity ' , ' Var ' , ' Par ' , ' Input ' , ' F ...
|
|
_constants = [ ' specTypes ' , ' allmathnames_symbolic ' , ' allmathna ...
|
|
feval_map_const = { ' e ' : ' 2.7182818284590451 ' , ' pi ' : ' 3.1415926 ...
|
|
feval_map_symb = { ' Abs ' : ' abs ' , ' Acos ' : ' acos ' , ' Asin ' : ' asin ' ...
|
|
mathlookup = { ' acos ' : ' math. ' , ' asin ' : ' math. ' , ' atan ' : ' math. ...
|
|
randomlookup = { ' BPF ' : ' random. ' , ' LOG4 ' : ' random. ' , ' NV_MAGIC ...
|
|
builtinlookup = { ' abs ' : '
' , ' max ' : '
' , ' min ' : '
' , ' pow ' : '
' , ' ...
|
|
modlookup = { ' BPF ' : ' random. ' , ' LOG4 ' : ' random. ' , ' NV_MAGICCON ...
|
|
funcnames = [ ' acos ' , ' asin ' , ' atan ' , ' atan2 ' , ' ceil ' , ' cos ' , ' ...
|
|
_localfuncnames = [ ' for ' , ' if ' , ' max ' , ' min ' , ' sum ' , ' globalin ...
|
|
_avoid_math_symbols = [ ' e ' , ' pi ' , ' Acos ' , ' Asin ' , ' Atan ' , ' Ata ...
|
|
local_fndef = { ' for_ ' : Fun for_ (ExpFuncSpec), ' getbound_ ' : Fu...
|
|
qtypes = ( <class 'PyDSTool.Symbolic.Quantity'>, <class 'PyDSTo...
|
|
Abs = Abs (ModelSpec wrapper)
|
|
Acos = Acos (ModelSpec wrapper)
|
|
Asin = Asin (ModelSpec wrapper)
|
|
Atan = Atan (ModelSpec wrapper)
|
|
Atan2 = Atan2 (ModelSpec wrapper)
|
|
Betavariate = Betavariate (ModelSpec wrapper)
|
|
Ceil = Ceil (ModelSpec wrapper)
|
|
Choice = Choice (ModelSpec wrapper)
|
|
Cos = Cos (ModelSpec wrapper)
|
|
Cosh = Cosh (ModelSpec wrapper)
|
|
Degrees = Degrees (ModelSpec wrapper)
|
|
E = QuantSpec e (ExpFuncSpec)
|
|
Exp = Exp (ModelSpec wrapper)
|
|
Expovariate = Expovariate (ModelSpec wrapper)
|
|
Fabs = Fabs (ModelSpec wrapper)
|
|
Floor = Floor (ModelSpec wrapper)
|
|
Fmod = Fmod (ModelSpec wrapper)
|
|
Frexp = Frexp (ModelSpec wrapper)
|
|
Gammavariate = Gammavariate (ModelSpec wrapper)
|
|
Gauss = Gauss (ModelSpec wrapper)
|
|
Getrandbits = Getrandbits (ModelSpec wrapper)
|
|
Getstate = Getstate (ModelSpec wrapper)
|
|
Hypot = Hypot (ModelSpec wrapper)
|
|
Jumpahead = Jumpahead (ModelSpec wrapper)
|
|
Ldexp = Ldexp (ModelSpec wrapper)
|
|
Log = Log (ModelSpec wrapper)
|
|
Log10 = Log10 (ModelSpec wrapper)
|
|
Lognormvariate = Lognormvariate (ModelSpec wrapper)
|
|
Max = Max (ModelSpec wrapper)
|
|
Min = Min (ModelSpec wrapper)
|
|
Modf = Modf (ModelSpec wrapper)
|
|
Normalvariate = Normalvariate (ModelSpec wrapper)
|
|
Paretovariate = Paretovariate (ModelSpec wrapper)
|
|
Pi = QuantSpec pi (ExpFuncSpec)
|
|
Pow = Pow (ModelSpec wrapper)
|
|
Radians = Radians (ModelSpec wrapper)
|
|
Randint = Randint (ModelSpec wrapper)
|
|
Random = Random (ModelSpec wrapper)
|
|
Randrange = Randrange (ModelSpec wrapper)
|
|
Sample = Sample (ModelSpec wrapper)
|
|
Seed = Seed (ModelSpec wrapper)
|
|
Setstate = Setstate (ModelSpec wrapper)
|
|
Shuffle = Shuffle (ModelSpec wrapper)
|
|
Sin = Sin (ModelSpec wrapper)
|
|
Sinh = Sinh (ModelSpec wrapper)
|
|
Sqrt = Sqrt (ModelSpec wrapper)
|
|
Sum = Sum (ModelSpec wrapper)
|
|
Systemrandom = Systemrandom (ModelSpec wrapper)
|
|
Tan = Tan (ModelSpec wrapper)
|
|
Tanh = Tanh (ModelSpec wrapper)
|
|
Uniform = Uniform (ModelSpec wrapper)
|
|
Vonmisesvariate = Vonmisesvariate (ModelSpec wrapper)
|
|
Weibullvariate = Weibullvariate (ModelSpec wrapper)
|
|
Wichmannhill = Wichmannhill (ModelSpec wrapper)
|
|
_1DimplicitSolveMethods = [ ' newton ' , ' bisect ' , ' steffe ' ]
|
|
_all_complex = ( <type 'complex'>, <type 'numpy.complexfloating...
|
|
_all_float = ( <type 'float'>, <type 'numpy.floating'>, <type '...
|
|
_all_int = ( <type 'int'>, <type 'numpy.integer'>, <type 'numpy...
|
|
_all_numpy_complex = ( <type 'numpy.complex128'>, <type 'numpy....
|
|
_all_numpy_float = ( <type 'numpy.float64'>, <type 'numpy.float...
|
|
_all_numpy_int = ( <type 'numpy.int32'>, <type 'numpy.int32'>, ...
|
|
_complex_types = ( <type 'complex'>, <type 'numpy.complexfloati...
|
|
_float_types = ( <type 'float'>, <type 'numpy.floating'>)
|
|
_implicitSolveMethods = [ ' newton ' , ' bisect ' , ' steffe ' , ' fsolve ' ]
|
|
_indentstr = ' '
|
|
_int_types = ( <type 'int'>, <type 'numpy.integer'>)
|
|
_num_equivtype = { <type 'float'>: <type 'numpy.float64'>, <typ...
|
|
_num_maxmin = { <type 'numpy.int32'>: [ -2147483648, 2147483647] ...
|
|
_num_name2equivtypes = { ' float ' : ( <type 'float'>, <type 'numpy...
|
|
_num_name2type = { ' float ' : <type 'numpy.float64'>, ' int ' : <typ...
|
|
_num_type2name = { <type 'float'>: ' float ' , <type 'int'>: ' int ' ...
|
|
_num_types = ( <type 'float'>, <type 'int'>, <type 'numpy.float...
|
|
_pytypefromtype = { <type 'numpy.int32'>: <type 'int'>, <type '...
|
|
_real_types = ( <type 'int'>, <type 'numpy.integer'>, <type 'fl...
|
|
_seq_types = ( <type 'list'>, <type 'tuple'>, <type 'numpy.ndar...
|
|
a = ' sum '
|
|
argstr = ' \'arg0\',\'arg1\',\'arg2\', '
|
|
c = ' pi '
|
|
f = ' sum '
|
|
fname = ' if '
|
|
funcstr = ' Fun(\'\', [\'arg0\',\'arg1\',\'arg2\',], \'if_\') '
|
|
i = 2
|
|
m = ' tanh '
|
|
n = ' sum '
|
|
symb = ' Sum '
|