fn_express 2.1.2

fn_express: ^2.1.2 copied to clipboard

• Update dependencies

• Update dependencies

Improved #

• REPL Help System: Redesigned help experience with a searchable topic index, command summaries, and detailed command pages (help <command>)

Added - Major Symbolic Computation Features #

• Expression Simplification: Advanced algebraic simplification with sophisticated rules
  • Automatic constant folding and algebraic identity application
  • Distributive, associative, and commutative law handling
  • Trigonometric identity simplification
  • Logarithmic and exponential rule application
  • Smart term combination and optimization
• Symbolic Differentiation: Complete symbolic differentiation engine
  • Support for all standard calculus rules (product, quotient, chain rule)
  • Differentiation of trigonometric, exponential, and logarithmic functions
  • Hyperbolic function derivatives
  • Inverse trigonometric function derivatives
  • Power rule with generalized exponents
• Higher-order Derivatives: Compute nth derivatives symbolically
  • Automatic application of differentiation rules multiple times
  • Support for any order derivative
• Partial Derivatives and Gradients: Multi-variable calculus support
  • Partial derivative computation treating other variables as constants
  • Gradient vector calculation for multi-variable functions
  • Complete support for multi-variable optimization
• Abstract Syntax Tree (AST): Internal expression representation
  • Structured tree representation of mathematical expressions
  • Enables advanced symbolic manipulations
  • Foundation for all symbolic operations
• Expression Analysis: Structural analysis and complexity metrics
  • Variable and function detection
  • Expression complexity scoring
  • AST depth and node count analysis
• SymbolicInterpreter: Enhanced interpreter with symbolic capabilities
  • Seamless integration of symbolic and numeric operations
  • Backward compatibility with existing Interpreter
  • Mixed symbolic/numeric workflows
• New AST-based expression representation system
• Advanced simplification engine with multiple rule passes
• Robust differentiation engine supporting complex expressions
• Enhanced type system for symbolic computation
• Symbolic integration supporting both indefinite and definite integrals
  • Accepts optional lower/upper bounds that are evaluated using the interpreter
  • Displays both the antiderivative and numeric result when bounds are provided
  • Expanded REPL help and examples to cover the full function library, including matrix utilities and hyperbolic functions
• Equation solver for single-variable equations with Newton, secant, and bisection methods
  • Exposes EquationSolver API and SymbolicInterpreter.solveEquation
  • Adds solve command to the REPL with usage guidance
  • Documents new capabilities in README and quick-start examples
• Piecewise-linear interpolation and extrapolation utilities
  • Provides InterpolationEngine plus SymbolicInterpreter wrappers
  • Adds interpolate command in the REPL with optional extrapolate flag
  • Expands README examples to cover interpolation workflows
• Sequence Analyzer: discover closed-form polynomials from finite numeric series
  • Provides SequenceAnalyzer.generatePolynomial with forward-difference synthesis
  • Returns evaluators and metadata alongside the simplified expression
• SymbolicInterpreter.sequenceFormula: high-level entry point for sequence synthesis
• REPL sequence command: interactively build polynomial formulas from numeric series (sequence)
• Comprehensive documentation and tests covering the new capability

• Minor Repl refactor

• Update README.md

• Refined REPL support with removal of dart:io dependency

Added #

• Multi-Parameter Support: Statistical and utility functions now support variable arguments
  • average(a, b, c, ...) - Calculates average multiple values
  • median(a, b, c, ...) - Calculate median of multiple values
  • mode(a, b, c, ...) - Find mode of multiple values
  • stdev(a, b, c, ...) - Standard deviation of multiple values (minimum 2 required)
  • variance(a, b, c, ...) - Variance of multiple values (minimum 2 required)
  • min(a, b, c, ...) - Minimum of multiple values
  • max(a, b, c, ...) - Maximum of multiple values
• Enhanced argument parsing to handle nested function calls correctly
• Backward compatibility maintained for existing two-parameter usage
• Comprehensive test suite for multi-parameter functionality
• Hyperbolic Functions: sinh, cosh, tanh, asinh, acosh, atanh
• Basic Mathematical Functions: exp (exponential function e^x)
• Special Mathematical Functions:
  • gamma function (generalization of factorial)
  • factorial2 (double factorial)
• Number Theory Functions: gcd (greatest common divisor), lcm (least common multiple)
• Statistical Functions: median, mode, stdev (standard deviation), variance
• Random Number Generation: random() function
• Comprehensive test coverage for all new functions
• Updated documentation and examples

• Initial version