💡 Ideas

[unageek]

Graphing Engine

• Efficient algorithm for common parametric relations: x = f(t) && y = g(t) && P(t)
• Efficient algorithm for explicit relations: y = f(x) && P(x) or x = f(y) && P(y)
• Regression testing of graphs
• Evaluate constant relations only once, without subdivisions
• Make block::MIN_K smaller
• Port to Windows
• Add − (U+2212) as an alias for -
• Add ∧, ∨, and ¬ as aliases for &&, ||, and !, respectively
• Conditional/piecewise expressions
• Complex functions
• Integer parameters
• Add source locations to AST nodes for better error messages
• Revise the definition of the exponentiation of real numbers x^y to match exp(y ln(x)).
  • The domain would be (y ∈ ℤ ∧ x ≠ 0) ∨ (y ∈ ℤ ∧ y ≥ 1) ∨ (x ≥ 0 ∧ y > 0) ∨ x > 0.
  • Keep the current definition with a different syntax, such as x^^y?
  • Leave both 0^0 and 0^^0 undefined for the best consistency.
    • ^ (real) is a subset of ^ (complex) and ^^.
• Lazy evaluation of conditional expressions (if)
• Migrate to Rust 2021
  • Support 2021 Edition pat matcher in macro_rules rust-lang/rust-analyzer#9055
• Transform polynomials into Horner form
• Shorthand for chained if (flattened arguments?)
• User-defined "macros" (generic constants/functions)
  • Use := for definitions
• Terser syntax?
• Exact handling of more numbers in Real?
  • Algebraic numbers
  • Transcendental numbers (sin(π/2) = 1, etc.)
  • Try Calcium

App

• Use Slate in RelationInput
• Automatically add/delete closing brackets while typing
• Assign the same ID to relations that are mapped to the same AST
• Exporting graphs as an image
  • Anti-aliasing can be done by supersampling + dilation (for preserving the stroke thickness).
  • The graphs of some relations such as y = ⌊x⌋ may look worse than now when low-level supersampling is used. On the other hand, high-level supersampling cannot be incorporated in real-time rendering. So anti-aliasing involving resampling would be an option only for exporting graphs.
• Setting pen size for exporting
• Setting pen size for displaying
• Saving/loading graphs
• Dark mode?
• Place the symbols button near the input cursor
• Support for fractional DPI scaling (125%, 150%, etc.)
• Draw the axes/grids in the exported image
  • Use node-canvas or skia-canvas?
  • Both increase dependencies by a large amount.
• Framed layout
• Saving/loading settings
• Interactive parameters?
• Make RAM/CPU usage configurable
• Use mdBook for the user guide, and split the documentation of each function into its own page?

Website?

• Gallery page

[RuixiZhang42]

Very excited about where this project is headed! Will the complex functions extension follow GrafEqℂ: Reliable graphing in the complex plane by Becuwe et al. (2005)?

[unageek]

@RuixiZhang42 Thank you for your comment!

Will the complex functions extension follow GrafEqℂ: Reliable graphing in the complex plane by Becuwe et al. (2005)?

Maybe, but I'm still thinking about the details.

[Firestar-Reimu]

Wonderful Project! Linux Version Please?

---

OK I see how to build it from source on Ubuntu, but also you can make an excecutible file/Appimage file, Thanks!

[Firestar-Reimu]

Maybe it is good to have a hide button to hide unwanted relation graphs thanks