CHANGELOG.md

AdVanced Math Changelog

Contents

Release	Name	Date	Integral developments
3.2.0	Eigenname	2022-04-01	Eigenvalues, eigenvectors and polynomials
3.1.1	Ondes bugfix 1	2022-01-09	fixes for derivatives
3.1.0	Ondes	2022-01-01	Completions in analysis
3.0.0	Illumination	2021-12-01	implementation of Fraction, Gauss-features for matrices
2.0.0	Repensé	2021-10-24	independence of math module with Taylor-series, matrix features
2.0.0-b2	Repensé beta 2	2021-09-19	not yet stable version of 2.0.0
1.2.0	Amitié	2021-09-10	coordination of elements
1.1.0	First release	2021-09-01	Angle class in former geo
1.0.0	Initial avmath	2021-09-01	Upload to GitHub

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3.2.0 (2022-04-01)

Not yet published

Minor changes

• algebra
  • Vector
    • new method orthogonal
      • transposes given vectors to orthogonal vectors of self
  • Matrix
    • new method qr
      • executes qr decomposition
    • new method eigenvalues
      • returns the eigenvalues of a matrix
    • new method eigenvector
      • returns the eigenvector of a matrix and a given eigenvalue
• analysis
  • new class Polynomial
    • methods for the implementation of polynomials

Patch level changes

• __init__
  • Fraction
    • __truediv__
      • fixed division by integer (#1)
    • __mul__
      • fixed condition branches (#3)
• algebra
  • Matrix
    • append
      • fixed column append (#5)

---

3.1.1 (2022-01-08)

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Patch level changes

• PEP8 compatible line length 79
• analysis
  • Function
    • derivative
      • h calculation does not fail if f(x) = 0
• __init__
  • added sgn function to scope
  • removed Fraction scope because of errors in Function.derivative and integral
  • sinh and cosh:
    • x values with |x| > 710 cause ArgumentError
  • constants got typehints
    • pi
    • e
    • phi
    • gamma

3.1.0 (2022-01-01)

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Announcement

• analysis
  • Function
    • The methods num_dif, second_num_dif and num_int are abandoned for derivative, second_derivative and integral yet are still usable
  • Polynom is cancelled

Minor changes

• __init__
  • Fraction
    • __init__
      • fractions can be used for initialisation
    • complex method to convert Fraction to complex
• analysis
  • Function
    • new method newton_method_extrema
      • uses newton method with differentiations for the calculation of extrema
    • new method derivative
      • new method for function derivatives
      • preferred over numd_dif
    • new method second_derivative
      • method for second derivative
      • preferred over second_num_dif
    • new method integral
      • calculates numerical integral
      • in default case uses rectangular rule
      • option="trapeze" instructs to use trapeze rule
      • preferred over num_int
    • new method __rtruediv__ for reversed division
    • new method tangent
      • constructs a tangent on a function at a given x
      • returns a linear Function (y = a * x + b)
    • new method normal
      • constructs a normal on a function at a given x
      • returns a linear Function (y = a * x + b)

Patch level changes

• __init__
  • Fraction
    • __truediv__
      • formula fixes
    • __add__ supports complex
    • __sub__ supports complex
  • arcsin
    • exception fixed for values < -1
• analysis
  • Function
    • max-method uses newton method and is much faster and more accurate
    • numdif developments for accuracy
    • replace-method does not crash while handling x with no parameter
    • __mul__ can handle REAL argument
    • __truediv__ can handle REAL argument
    • __rtruediv__ can handle REAL argument
    • newton_method takes a 1e-2 step if the derivative is 0
• algebra
  • Structure
    • area
      • fixes for angles > 180°

---

3.0.0 (2021-12-01)

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API Changes

• __init__
  • redesigned function avmath.pi() to constant avmath.pi
  • redesigned function avmath.e() to constant avmath.e
  • _FLOAT_EQ
    • Deletion
  • _Point
    • Deletion
  • DimensionError
    • moved from algebra
• algebra
  • Angle
    • Deletion
  • Vector
    • avmath.algebra.Vector.angle() returns float
    • changed location of vector product from __pow__ to cross
    • pow returns vector multiplied n times by itself
  • Straight
    • Deletion
  • Point -> Tuple
    • renamed Point to Tuple
  • AmountOfDimensionsError
    • Deletion
    • DimensionErrorgets called instead.
  • MatrixMultiplicationError
    • Deletion
    • MatrixError gets called instead
  • Matrix
    • row
      • returns Vector type
    • column
      • returns Vector type
  • Structure
    • circ -> circumference
      • renamed circ to circumference
• analysis
  • f -> Function
    • renamed f to Function

Minor changes

• __all__ for __init__.py, algebra.py and analysis.py
• __init__
  • imports time module
  • new constant _TAYLOR_DIFFERENCE as minimal difference between results for taylor-loops with value 1e-16
  • new constant _MAX_CALCULATION_TIME for maximum calculation time in taylor-loops with value 5 seconds
  • fac
    • parameter opt for double faculty
  • new function _check_types
    • checks if all members of tuple are of specified types
  • new constant phi
    • for golden ratio
  • new constant gamma
    • for Euler-Mascheroni constant
  • new function sgn
    • for signum function
  • new function is_prime
    • checks whether integer is a prime
  • new constant two_digit_primes
    • contains all two digit primes
  • new function gcd
    • returns the greatest common divisor of two integers
  • new function lcm
    • returns the least common multiply of two integers
  • new class Fraction
    • handling of fractions, particularly in linear algebra
    • see Documentation for all methods
• analysis
  • Function
    • new function newton_method
      • for Newton's method from given x_n
    • new function root
      • returns all roots of the function in given domain
    • new function replace
      • allows ^ as power and coefficients
    • new method second_num_dif
      • numerical second differentiation
• algebra
  • Tuple
    • new method truediv
      • returns tuple divided by scalar for less float inaccuracies
    • new method no_fractions
      • returns copy of Tuple with no fractions
  • Vector
    • new method truediv
      • see Tuple
    • new method no_fractions
      • see Tuple
  • Matrix
    • new method truediv
      • see Tuple
    • new method no_fractions
      • see Tuple
    • new method ref
      • returns row echelon form
    • new method rank
      • returns rank of the matrix
    • new method rref
      • returns reduced row echelon form of the matrix

Bug fixes

• __init__
  • fac
    • checks if input can be interpreted as integer
  • ln works properly and much faster
  • trigonometric functions use while-loops and _TAYLOR_DIFFERENCE to calculate to the best return value possible
  • cos works properly with negative values
• algebra
  • Matrix
    • inverse
      • works more accurately due to fractions
  • arsinh
    • works in negative domain due to correct spelling of formula
  • artanh
    • does not allow value 1 only to crash afterwards
  • tanh
    • surpassing a value of 20 simply returns 1 instead of calculating (and crashing)
  • arcsin
    • new structure for formula
    • does not crash at 710, but is stopped by the maximal time control

---

2.0.0 (2021-10-24)

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Avmath 2.0 ended the former dependency to the math module. All mathematical problems are now solved independently. There have been changes in function names and parameters because of necessary syntax changes. Also, a function implementation was made. The Taylor-functions sometimes lack of speed and accuracy.

API Changes

• avmath.sin() takes only x argument
• avmath.pi() takes no arguments
• avmath.e() takes no arguments
• renamed avmath.arcsinh to avmath.arsinh
• renamed avmath.arccosh to avmath.arcosh
• renamed avmath.arctanh to avmath.artanh
• renamed avmath.geo to avmath.algebra
• renamed avmath.funtions to avmath.analysis

Minor Changes

• All functions use Taylor series instead of math-module
• avmath.scope dictionary with avmath functions for eval locals
• avmath._Point prototype for points in submodules
• avmath.analysis:
  • avmath.analysis.Point class for point values
  • avmath.f.__neg__() for negative function
  • avmath.f.at() uses avmath.scope for locals
  • avmath.f.set_scope() to set scope to different dictionary
  • avmath.f.append_scope() to append dictionary to scope
  • avmath.f.max() to find maximum of a function in a certain space
  • avmath.f.min() to find minimum of a function in a certain space
  • avmath.f.numdif() to find numerical differentiation at an x value
  • avmath.f.numint() to find numerical integral in a certain space
  • avmath.Point inherits from avmath._Point prototype
• avmath.algebra:
  • avmath.algebra.Point inherits from avmath._Point
  • avmath.Matrix.__contains__() function created
  • avmath.Matrix.__setitem__() function created
  • avmath.Matrix.__round__() function created

---

2.0.0-beta2 (2021-09-19)

API Changes

• renamed avmath.geo -> avmath.lina
• renamed avmath.functions -> avmath.ana
• deletion of avmath.lina.Vector.__ne__()

Minor changes

• avmath.lina:
  • avmath._FLOAT_EQ to compare float values
  • avmath.lina.Angle.__eq__() method uses avmath._FLOAT_EQ
  • avmath.lina.Angle.__eq__() method uses avmath._FLOAT_EQ
  • avmath.line.Vector.__eq__() method uses avmath._FLOAT_EQ
  • avmath.lina.Matrix:
    • __init__() size, rows, columns removed
    • __init__() can transform Vector to Matrix
    • __repr__() uses brackets for better view
    • __repr__() better algorithm for spaces
    • __eq__() uses avmath._FLOAT_EQ
    • __pow__() with ^-1 leads to inverse()
    • size() method returns size in format [m, n]
    • at() method returns element of given index
    • remove() method returns a matrix with removed row or column
    • det() method returns the determinant of a matrix
    • cof() method returns cofactor matrix
    • adj() method returns cofactor matrix
    • inverse() method returns inverted matrix
  • avmath.lina.SLE system of linear equations inherited from matrix:
    • __init__() method creates matrix with parameters and results
    • solve method returns matrix with all unknowns
    • x() method returns unknown of given index

---

1.2.0 (2021-09-10)

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• Github-PyPi coordination
• valid metadata
• link and documentation fixes

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1.1.0 (2021-09-01)

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• Angle class
  • Modes DEG, RAD, GRA
  • Angle.get() method

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1.0.0 (2021-09-01)

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Upload to gitHub.

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Before v1.0.0

When the evmath project was uploaded to github, its version number was reset to 1.0.0 . Previously it was on version number 1.8.0 , but lacking a valid changelog.