Add support for matrices

[ZCG-coder]

This PR fixes issues #56 and #57.

• Added support for 2D matrices
  • Supported operations:
    • Addition
    • Subtraction
    • Multiplication (both scalar and matrix)
    • Inverse
    • Power (with positive integers only)
    • Submatrix
    • Join matrices on the left or right
    • Transpose
  • Supported generation methods
    • Zeros (Matrix::zeros)
    • Ones (Matrix::ones)
    • Diagonal (Matrix::diag)
• Changed numerous handling mechanisms
• ARM platforms now are officially supported, including Windows on ARM and ARM Linux.
• Added more functions to the Python API.

Changelog

Details

• Fix accuracy issues for exp.

• Fix build errors

• Add #include for <cstdint>

• Upgrade Windows version

  Signed-off-by: Andy Zhang z-c-ge@outlook.com#
  Using Python to show GUI

• Trying to fix build issue on Windows

• Fixed Windows build issues

• Added support for 2D matrices

  • Removed imgui directory for switching to Python tkinter.
  • Add matrix support mat2d.hpp
  • [BREAKING] Number objects now round to 10 decimal places by default.
  • [BREAKING] Steppable public headers are now in include/steppable.

• Small fixes to improve accuracy of ref result.

  • Automatically rounds off numbers in matrix after ref operation.
  • roundOff now supports simplifying the zero polarity to always ensure positive zero.
  • Fix build issues.

• Fix rounding issues

• Allow building on ARM

• Improve precision of Number operations.

  • [BREAKING] Number does not support implicit conversions from now on.

• Fixed build issues with Nanobind.

  • Added back const qualifier to Number::operator/ and Number::operator*.

• Cleaned up configuration files

• Enable special build hacks to be specified.

  • Changed localization behavior: when no translations are found, defaults to en-US
  • Allow value inspections to be specified
  • Change rounding behavior to pad numbers automatically

• Fixed bugs in multiply

  • [Bug: Calculation error caused by incorrect detection of isPowerOfTen() #56] Fix isPowerOfTen detection flaw
  • [WIP] Trying to address matrix rref issues.

• Fixed bugs in multiply

  • [Incorrect result sign from multiply when one of the inputs is a power of 10 #57] Fix isPowerOfTen handling flaw

• Fixed rounding errors

  • Address segmentation fault in util.cpp by adding empty checks
  • Fix incorrect rounding of negative decimals (like -2.99) to -1

• Reformat

• Add matrix symbols and pretty-printing using better symbols

• Added unary operator support to Number and Fraction

  • Unary operators are now supported for Number and Fraction. One can now use +number and -number to get the
    positive / negative instances of the number.
  • Python bindings now include the unary operators.
  • *.pyi files have been updated to include signatures of unary operators.
  • Matrix objects now support addition.

• Add operators for matrices

  • Add operator-, operator*, operator== to Matrix
  • Add mat2d test targets
  • Add concepts to diffrentiate different types of objects (std::string, .present() methods and numeric)
  • Add support for assertIsEqual and assertIsNotEqual for other types of data

• Moved out bindings to separate modules

  • Added bindings for Matrix to Python
  • Added support for implicit conversion between Python numerals and Steppable Number
  • Fix build errors by renaming assert to _assertCondition method in testing.cpp

• Add determinant for matrices

  • Add the det function.
  • [BREAKING] ref now refer to the rref function. The ref function now does row echelon form without reduction.
  • Add the bindings for det and ref to Python.

• Allow matrix joining laterally.

  • Matrices can now be joined using the << and >> operators
  • [BREAKING] Matrix indices are now standardized to be (row, column)

• Add rank method for matrix.

  • Add rank method to Matrix
  • Add corresponding bindings
  • Add support for iterating through the matrix, in C++ and Python
  • Changed order of Matrix::zeros arguments
  • Add literal _n to specify a number

• Allow matrix powers

  • Allow matrix powers
  • Allow matrix inverse by specifying -1 as power.

• Fix build errors

  • Add parameters to Python
  • Add diag method to Python bindings.

• Add documentation to Python binding stubs

  • [BREAKING] Change stub file names to underscores to prevent accessing
  • Add documentation
  • Corrected typing annotations in stubs

• Add copyright headers

  • Not requiring too many GIthub Actions for pull requests

• Fixed build errors

  • Fixed return type of Matrix::diag.