pbrod/numdifftools

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src/numdifftools/extrapolation.py

Summary

Maintainability
B
5 hrs
Test Coverage

Cyclomatic complexity is too high in method _dea. (12)
Open

    def _dea(self,  epstab, n):

        res3la = epstab[-3:]
        nres = self._nres

Severity: Minor
Found in src/numdifftools/extrapolation.py by radon

Cyclomatic Complexity

Cyclomatic Complexity corresponds to the number of decisions a block of code contains plus 1. This number (also called McCabe number) is equal to the number of linearly independent paths through the code. This number can be used as a guide when testing conditional logic in blocks.

Radon analyzes the AST tree of a Python program to compute Cyclomatic Complexity. Statements have the following effects on Cyclomatic Complexity:

Construct Effect on CC Reasoning
if +1 An if statement is a single decision.
elif +1 The elif statement adds another decision.
else +0 The else statement does not cause a new decision. The decision is at the if.
for +1 There is a decision at the start of the loop.
while +1 There is a decision at the while statement.
except +1 Each except branch adds a new conditional path of execution.
finally +0 The finally block is unconditionally executed.
with +1 The with statement roughly corresponds to a try/except block (see PEP 343 for details).
assert +1 The assert statement internally roughly equals a conditional statement.
Comprehension +1 A list/set/dict comprehension of generator expression is equivalent to a for loop.
Boolean Operator +1 Every boolean operator (and, or) adds a decision point.

Source: http://radon.readthedocs.org/en/latest/intro.html

Function _dea has a Cognitive Complexity of 15 (exceeds 5 allowed). Consider refactoring.
Open

    def _dea(self,  epstab, n):

        res3la = epstab[-3:]
        nres = self._nres

Severity: Minor
Found in src/numdifftools/extrapolation.py - About 1 hr to fix

Cognitive Complexity

Cognitive Complexity is a measure of how difficult a unit of code is to intuitively understand. Unlike Cyclomatic Complexity, which determines how difficult your code will be to test, Cognitive Complexity tells you how difficult your code will be to read and comprehend.

A method's cognitive complexity is based on a few simple rules:

  • Code is not considered more complex when it uses shorthand that the language provides for collapsing multiple statements into one
  • Code is considered more complex for each "break in the linear flow of the code"
  • Code is considered more complex when "flow breaking structures are nested"

Further reading

Function __call__ has a Cognitive Complexity of 8 (exceeds 5 allowed). Consider refactoring.
Open

    def __call__(self, s_n):

        epstab = self.epstab
        n = len(epstab)
        epstab.append(s_n)
Severity: Minor
Found in src/numdifftools/extrapolation.py - About 45 mins to fix

Cognitive Complexity

Cognitive Complexity is a measure of how difficult a unit of code is to intuitively understand. Unlike Cyclomatic Complexity, which determines how difficult your code will be to test, Cognitive Complexity tells you how difficult your code will be to read and comprehend.

A method's cognitive complexity is based on a few simple rules:

  • Code is not considered more complex when it uses shorthand that the language provides for collapsing multiple statements into one
  • Code is considered more complex for each "break in the linear flow of the code"
  • Code is considered more complex when "flow breaking structures are nested"

Further reading

Class 'Dea' inherits from object, can be safely removed from bases in python3
Open

class Dea(object):
Severity: Info
Found in src/numdifftools/extrapolation.py by pylint

Used when a class inherit from object, which under python3 is implicit, hence can be safely removed from bases.

Too many local variables (32/15)
Open

    def _dea(self,  epstab, n):
Severity: Info
Found in src/numdifftools/extrapolation.py by pylint

Used when a function or method has too many local variables.

Too few public methods (1/2)
Open

class EpsAlg(object):
Severity: Info
Found in src/numdifftools/extrapolation.py by pylint

Used when class has too few public methods, so be sure it's really worth it.

Too many statements (57/50)
Open

    def _dea(self,  epstab, n):
Severity: Info
Found in src/numdifftools/extrapolation.py by pylint

Used when a function or method has too many statements. You should then split it in smaller functions / methods.

Too many local variables (18/15)
Open

def dea3(v_0, v_1, v_2, symmetric=False):
Severity: Info
Found in src/numdifftools/extrapolation.py by pylint

Used when a function or method has too many local variables.

Class 'EpsAlg' inherits from object, can be safely removed from bases in python3
Open

class EpsAlg(object):
Severity: Info
Found in src/numdifftools/extrapolation.py by pylint

Used when a class inherit from object, which under python3 is implicit, hence can be safely removed from bases.

Class 'Richardson' inherits from object, can be safely removed from bases in python3
Open

class Richardson(object):
Severity: Info
Found in src/numdifftools/extrapolation.py by pylint

Used when a class inherit from object, which under python3 is implicit, hence can be safely removed from bases.

Refactor this function to reduce its Cognitive Complexity from 16 to the 15 allowed.
Open

    def _dea(self,  epstab, n):
Severity: Critical
Found in src/numdifftools/extrapolation.py by sonar-python

Cognitive Complexity is a measure of how hard the control flow of a function is to understand. Functions with high Cognitive Complexity will be difficult to maintain.

See

Unable to import 'numpy'
Open

import numpy as np
Severity: Critical
Found in src/numdifftools/extrapolation.py by pylint

Used when pylint has been unable to import a module.

Unable to import 'scipy.ndimage'
Open

from scipy.ndimage import convolve1d
Severity: Critical
Found in src/numdifftools/extrapolation.py by pylint

Used when pylint has been unable to import a module.

Unable to import 'scipy'
Open

from scipy import linalg
Severity: Critical
Found in src/numdifftools/extrapolation.py by pylint

Used when pylint has been unable to import a module.

Identical blocks of code found in 3 locations. Consider refactoring.
Open

    def linfun(i):
        return np.linspace(0, np.pi / 2., 2 ** i + 1)
Severity: Major
Found in src/numdifftools/extrapolation.py and 2 other locations - About 55 mins to fix
src/numdifftools/extrapolation.py on lines 285..286
src/numdifftools/extrapolation.py on lines 322..323

Duplicated Code

Duplicated code can lead to software that is hard to understand and difficult to change. The Don't Repeat Yourself (DRY) principle states:

Every piece of knowledge must have a single, unambiguous, authoritative representation within a system.

When you violate DRY, bugs and maintenance problems are sure to follow. Duplicated code has a tendency to both continue to replicate and also to diverge (leaving bugs as two similar implementations differ in subtle ways).

Tuning

This issue has a mass of 37.

We set useful threshold defaults for the languages we support but you may want to adjust these settings based on your project guidelines.

The threshold configuration represents the minimum mass a code block must have to be analyzed for duplication. The lower the threshold, the more fine-grained the comparison.

If the engine is too easily reporting duplication, try raising the threshold. If you suspect that the engine isn't catching enough duplication, try lowering the threshold. The best setting tends to differ from language to language.

See codeclimate-duplication's documentation for more information about tuning the mass threshold in your .codeclimate.yml.

Refactorings

Further Reading

Identical blocks of code found in 3 locations. Consider refactoring.
Open

    def linfun(i):
        return np.linspace(0, np.pi / 2., 2 ** i + 1)
Severity: Major
Found in src/numdifftools/extrapolation.py and 2 other locations - About 55 mins to fix
src/numdifftools/extrapolation.py on lines 322..323
src/numdifftools/extrapolation.py on lines 355..356

Duplicated Code

Duplicated code can lead to software that is hard to understand and difficult to change. The Don't Repeat Yourself (DRY) principle states:

Every piece of knowledge must have a single, unambiguous, authoritative representation within a system.

When you violate DRY, bugs and maintenance problems are sure to follow. Duplicated code has a tendency to both continue to replicate and also to diverge (leaving bugs as two similar implementations differ in subtle ways).

Tuning

This issue has a mass of 37.

We set useful threshold defaults for the languages we support but you may want to adjust these settings based on your project guidelines.

The threshold configuration represents the minimum mass a code block must have to be analyzed for duplication. The lower the threshold, the more fine-grained the comparison.

If the engine is too easily reporting duplication, try raising the threshold. If you suspect that the engine isn't catching enough duplication, try lowering the threshold. The best setting tends to differ from language to language.

See codeclimate-duplication's documentation for more information about tuning the mass threshold in your .codeclimate.yml.

Refactorings

Further Reading

Identical blocks of code found in 3 locations. Consider refactoring.
Open

    def linfun(i):
        return np.linspace(0, np.pi / 2., 2 ** i + 1)
Severity: Major
Found in src/numdifftools/extrapolation.py and 2 other locations - About 55 mins to fix
src/numdifftools/extrapolation.py on lines 285..286
src/numdifftools/extrapolation.py on lines 355..356

Duplicated Code

Duplicated code can lead to software that is hard to understand and difficult to change. The Don't Repeat Yourself (DRY) principle states:

Every piece of knowledge must have a single, unambiguous, authoritative representation within a system.

When you violate DRY, bugs and maintenance problems are sure to follow. Duplicated code has a tendency to both continue to replicate and also to diverge (leaving bugs as two similar implementations differ in subtle ways).

Tuning

This issue has a mass of 37.

We set useful threshold defaults for the languages we support but you may want to adjust these settings based on your project guidelines.

The threshold configuration represents the minimum mass a code block must have to be analyzed for duplication. The lower the threshold, the more fine-grained the comparison.

If the engine is too easily reporting duplication, try raising the threshold. If you suspect that the engine isn't catching enough duplication, try lowering the threshold. The best setting tends to differ from language to language.

See codeclimate-duplication's documentation for more information about tuning the mass threshold in your .codeclimate.yml.

Refactorings

Further Reading

Missing whitespace around arithmetic operator
Open

            e_1 = epstab[k_1-1]
Severity: Minor
Found in src/numdifftools/extrapolation.py by pep8

Surround operators with a single space on either side.

- Always surround these binary operators with a single space on
  either side: assignment (=), augmented assignment (+=, -= etc.),
  comparisons (==, <, >, !=, <=, >=, in, not in, is, is not),
  Booleans (and, or, not).

- If operators with different priorities are used, consider adding
  whitespace around the operators with the lowest priorities.

Okay: i = i + 1
Okay: submitted += 1
Okay: x = x * 2 - 1
Okay: hypot2 = x * x + y * y
Okay: c = (a + b) * (a - b)
Okay: foo(bar, key='word', *args, **kwargs)
Okay: alpha[:-i]

E225: i=i+1
E225: submitted +=1
E225: x = x /2 - 1
E225: z = x **y
E225: z = 1and 1
E226: c = (a+b) * (a-b)
E226: hypot2 = x*x + y*y
E227: c = a|b
E228: msg = fmt%(errno, errmsg)

Missing whitespace around arithmetic operator
Open

                epsinf = abs(sss*e_1)
Severity: Minor
Found in src/numdifftools/extrapolation.py by pep8

Surround operators with a single space on either side.

- Always surround these binary operators with a single space on
  either side: assignment (=), augmented assignment (+=, -= etc.),
  comparisons (==, <, >, !=, <=, >=, in, not in, is, is not),
  Booleans (and, or, not).

- If operators with different priorities are used, consider adding
  whitespace around the operators with the lowest priorities.

Okay: i = i + 1
Okay: submitted += 1
Okay: x = x * 2 - 1
Okay: hypot2 = x * x + y * y
Okay: c = (a + b) * (a - b)
Okay: foo(bar, key='word', *args, **kwargs)
Okay: alpha[:-i]

E225: i=i+1
E225: submitted +=1
E225: x = x /2 - 1
E225: z = x **y
E225: z = 1and 1
E226: c = (a+b) * (a-b)
E226: hypot2 = x*x + y*y
E227: c = a|b
E228: msg = fmt%(errno, errmsg)

Line break after binary operator
Open

            abserr = (err[-m:] +
Severity: Minor
Found in src/numdifftools/extrapolation.py by pep8

Avoid breaks after binary operators.

The preferred place to break around a binary operator is before the
operator, not after it.

W504: (width == 0 +\n height == 0)
W504: (width == 0 and\n height == 0)
W504: var = (1 &\n       ~2)

Okay: foo(\n    -x)
Okay: foo(x\n    [])
Okay: x = '''\n''' + ''
Okay: x = '' + '''\n'''
Okay: foo(x,\n    -y)
Okay: foo(x,  # comment\n    -y)

The following should be W504 but unary_context is tricky with these
Okay: var = (1 /\n       -2)
Okay: var = (1 +\n       -1 +\n       -2)

Missing whitespace around arithmetic operator
Open

        abserr = max(abserr, 5.0*_EPS*abs(result))
Severity: Minor
Found in src/numdifftools/extrapolation.py by pep8

Surround operators with a single space on either side.

- Always surround these binary operators with a single space on
  either side: assignment (=), augmented assignment (+=, -= etc.),
  comparisons (==, <, >, !=, <=, >=, in, not in, is, is not),
  Booleans (and, or, not).

- If operators with different priorities are used, consider adding
  whitespace around the operators with the lowest priorities.

Okay: i = i + 1
Okay: submitted += 1
Okay: x = x * 2 - 1
Okay: hypot2 = x * x + y * y
Okay: c = (a + b) * (a - b)
Okay: foo(bar, key='word', *args, **kwargs)
Okay: alpha[:-i]

E225: i=i+1
E225: submitted +=1
E225: x = x /2 - 1
E225: z = x **y
E225: z = 1and 1
E226: c = (a+b) * (a-b)
E226: hypot2 = x*x + y*y
E227: c = a|b
E228: msg = fmt%(errno, errmsg)

Multiple spaces after ','
Open

    def _dea(self,  epstab, n):
Severity: Minor
Found in src/numdifftools/extrapolation.py by pep8

Avoid extraneous whitespace after a comma or a colon.

Note: these checks are disabled by default

Okay: a = (1, 2)
E241: a = (1,  2)
E242: a = (1,\t2)

Missing whitespace around arithmetic operator
Open

            error = err2 + abs(res-e_2) + err3
Severity: Minor
Found in src/numdifftools/extrapolation.py by pep8

Surround operators with a single space on either side.

- Always surround these binary operators with a single space on
  either side: assignment (=), augmented assignment (+=, -= etc.),
  comparisons (==, <, >, !=, <=, >=, in, not in, is, is not),
  Booleans (and, or, not).

- If operators with different priorities are used, consider adding
  whitespace around the operators with the lowest priorities.

Okay: i = i + 1
Okay: submitted += 1
Okay: x = x * 2 - 1
Okay: hypot2 = x * x + y * y
Okay: c = (a + b) * (a - b)
Okay: foo(bar, key='word', *args, **kwargs)
Okay: alpha[:-i]

E225: i=i+1
E225: submitted +=1
E225: x = x /2 - 1
E225: z = x **y
E225: z = 1and 1
E226: c = (a+b) * (a-b)
E226: hypot2 = x*x + y*y
E227: c = a|b
E228: msg = fmt%(errno, errmsg)

Missing whitespace around arithmetic operator
Open

            res = e_1 + 1.0/sss
Severity: Minor
Found in src/numdifftools/extrapolation.py by pep8

Surround operators with a single space on either side.

- Always surround these binary operators with a single space on
  either side: assignment (=), augmented assignment (+=, -= etc.),
  comparisons (==, <, >, !=, <=, >=, in, not in, is, is not),
  Booleans (and, or, not).

- If operators with different priorities are used, consider adding
  whitespace around the operators with the lowest priorities.

Okay: i = i + 1
Okay: submitted += 1
Okay: x = x * 2 - 1
Okay: hypot2 = x * x + y * y
Okay: c = (a + b) * (a - b)
Okay: foo(bar, key='word', *args, **kwargs)
Okay: alpha[:-i]

E225: i=i+1
E225: submitted +=1
E225: x = x /2 - 1
E225: z = x **y
E225: z = 1and 1
E226: c = (a+b) * (a-b)
E226: hypot2 = x*x + y*y
E227: c = a|b
E228: msg = fmt%(errno, errmsg)

Missing whitespace around arithmetic operator
Open

        abserr = max(abserr, 5.0*_EPS*abs(result))
Severity: Minor
Found in src/numdifftools/extrapolation.py by pep8

Surround operators with a single space on either side.

- Always surround these binary operators with a single space on
  either side: assignment (=), augmented assignment (+=, -= etc.),
  comparisons (==, <, >, !=, <=, >=, in, not in, is, is not),
  Booleans (and, or, not).

- If operators with different priorities are used, consider adding
  whitespace around the operators with the lowest priorities.

Okay: i = i + 1
Okay: submitted += 1
Okay: x = x * 2 - 1
Okay: hypot2 = x * x + y * y
Okay: c = (a + b) * (a - b)
Okay: foo(bar, key='word', *args, **kwargs)
Okay: alpha[:-i]

E225: i=i+1
E225: submitted +=1
E225: x = x /2 - 1
E225: z = x **y
E225: z = 1and 1
E226: c = (a+b) * (a-b)
E226: hypot2 = x*x + y*y
E227: c = a|b
E228: msg = fmt%(errno, errmsg)

Line break after binary operator
Open

                                abs(new_sequence[:-1] -
Severity: Minor
Found in src/numdifftools/extrapolation.py by pep8

Avoid breaks after binary operators.

The preferred place to break around a binary operator is before the
operator, not after it.

W504: (width == 0 +\n height == 0)
W504: (width == 0 and\n height == 0)
W504: var = (1 &\n       ~2)

Okay: foo(\n    -x)
Okay: foo(x\n    [])
Okay: x = '''\n''' + ''
Okay: x = '' + '''\n'''
Okay: foo(x,\n    -y)
Okay: foo(x,  # comment\n    -y)

The following should be W504 but unary_context is tricky with these
Okay: var = (1 /\n       -2)
Okay: var = (1 +\n       -1 +\n       -2)

Missing whitespace around arithmetic operator
Open

            res = epstab[k_1+2]
Severity: Minor
Found in src/numdifftools/extrapolation.py by pep8

Surround operators with a single space on either side.

- Always surround these binary operators with a single space on
  either side: assignment (=), augmented assignment (+=, -= etc.),
  comparisons (==, <, >, !=, <=, >=, in, not in, is, is not),
  Booleans (and, or, not).

- If operators with different priorities are used, consider adding
  whitespace around the operators with the lowest priorities.

Okay: i = i + 1
Okay: submitted += 1
Okay: x = x * 2 - 1
Okay: hypot2 = x * x + y * y
Okay: c = (a + b) * (a - b)
Okay: foo(bar, key='word', *args, **kwargs)
Okay: alpha[:-i]

E225: i=i+1
E225: submitted +=1
E225: x = x /2 - 1
E225: z = x **y
E225: z = 1and 1
E226: c = (a+b) * (a-b)
E226: hypot2 = x*x + y*y
E227: c = a|b
E228: msg = fmt%(errno, errmsg)

Missing whitespace around arithmetic operator
Open

            e_0 = epstab[k_1-2]
Severity: Minor
Found in src/numdifftools/extrapolation.py by pep8

Surround operators with a single space on either side.

- Always surround these binary operators with a single space on
  either side: assignment (=), augmented assignment (+=, -= etc.),
  comparisons (==, <, >, !=, <=, >=, in, not in, is, is not),
  Booleans (and, or, not).

- If operators with different priorities are used, consider adding
  whitespace around the operators with the lowest priorities.

Okay: i = i + 1
Okay: submitted += 1
Okay: x = x * 2 - 1
Okay: hypot2 = x * x + y * y
Okay: c = (a + b) * (a - b)
Okay: foo(bar, key='word', *args, **kwargs)
Okay: alpha[:-i]

E225: i=i+1
E225: submitted +=1
E225: x = x /2 - 1
E225: z = x **y
E225: z = 1and 1
E226: c = (a+b) * (a-b)
E226: hypot2 = x*x + y*y
E227: c = a|b
E228: msg = fmt%(errno, errmsg)

Missing whitespace around arithmetic operator
Open

        epstab[n+2] = epstab[n]
Severity: Minor
Found in src/numdifftools/extrapolation.py by pep8

Surround operators with a single space on either side.

- Always surround these binary operators with a single space on
  either side: assignment (=), augmented assignment (+=, -= etc.),
  comparisons (==, <, >, !=, <=, >=, in, not in, is, is not),
  Booleans (and, or, not).

- If operators with different priorities are used, consider adding
  whitespace around the operators with the lowest priorities.

Okay: i = i + 1
Okay: submitted += 1
Okay: x = x * 2 - 1
Okay: hypot2 = x * x + y * y
Okay: c = (a + b) * (a - b)
Okay: foo(bar, key='word', *args, **kwargs)
Okay: alpha[:-i]

E225: i=i+1
E225: submitted +=1
E225: x = x /2 - 1
E225: z = x **y
E225: z = 1and 1
E226: c = (a+b) * (a-b)
E226: hypot2 = x*x + y*y
E227: c = a|b
E228: msg = fmt%(errno, errmsg)

Missing whitespace around arithmetic operator
Open

                n = 2*i
Severity: Minor
Found in src/numdifftools/extrapolation.py by pep8

Surround operators with a single space on either side.

- Always surround these binary operators with a single space on
  either side: assignment (=), augmented assignment (+=, -= etc.),
  comparisons (==, <, >, !=, <=, >=, in, not in, is, is not),
  Booleans (and, or, not).

- If operators with different priorities are used, consider adding
  whitespace around the operators with the lowest priorities.

Okay: i = i + 1
Okay: submitted += 1
Okay: x = x * 2 - 1
Okay: hypot2 = x * x + y * y
Okay: c = (a + b) * (a - b)
Okay: foo(bar, key='word', *args, **kwargs)
Okay: alpha[:-i]

E225: i=i+1
E225: submitted +=1
E225: x = x /2 - 1
E225: z = x **y
E225: z = 1and 1
E226: c = (a+b) * (a-b)
E226: hypot2 = x*x + y*y
E227: c = a|b
E228: msg = fmt%(errno, errmsg)

Unnecessarily calls dunder method __call__. Invoke instance directly.
Open

        return self.__call__(sequence, steps)
Severity: Info
Found in src/numdifftools/extrapolation.py by pylint

Used when a dunder method is manually called instead of using the corresponding function/method/operator.

Constant name _tiny_name doesn't conform to '(([A-Z_][A-Z0-9_]*)|(__.*__))$' pattern ('(([A-Z_][A-Z0-9_]*)|(__.*__))$' pattern)
Open

_tiny_name = 'tiny' if np.__version__ < '1.22' else 'smallest_normal'
Severity: Info
Found in src/numdifftools/extrapolation.py by pylint

Used when the name doesn't conform to naming rules associated to its type (constant, variable, class...).

Attribute name _n doesn't conform to '[a-z_][a-z0-9_]{2,30}$' pattern ('[a-z_][a-z0-9_]{2,30}$' pattern)
Open

        self._n = 0
Severity: Info
Found in src/numdifftools/extrapolation.py by pylint

Used when the name doesn't conform to naming rules associated to its type (constant, variable, class...).

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