From 99dc4ad8de458bafc02831f827dd5b80478a0afe Mon Sep 17 00:00:00 2001 From: Michael Griebling Date: Sun, 6 Oct 2024 16:29:28 -0400 Subject: [PATCH] Update to README.md and graphic files. --- EXAMPLES.md | 60 ++++++++++++------ README.md | 54 ++++++++++++---- img/amgm-dark.png | Bin 0 -> 7402 bytes img/{amgm.png => amgm-light.png} | Bin img/calculus-dark.png | Bin 0 -> 8529 bytes img/{calculus.png => calculus-light.png} | Bin img/cases-dark.png | Bin 0 -> 6461 bytes img/{cases.png => cases-light.png} | Bin img/cauchyintegral-dark.png | Bin 0 -> 10026 bytes ...yintegral.png => cauchyintegral-light.png} | Bin img/cauchyschwarz-dark.png | Bin 0 -> 11636 bytes ...chyschwarz.png => cauchyschwarz-light.png} | Bin img/cross-dark.png | Bin 0 -> 10230 bytes img/{cross.png => cross-light.png} | Bin img/demorgan-dark.png | Bin 0 -> 5411 bytes img/{demorgan.png => demorgan-light.png} | Bin img/gaussintegral-dark.png | Bin 0 -> 6024 bytes ...ssintegral.png => gaussintegral-light.png} | Bin img/limit-dark.png | Bin 0 -> 6380 bytes img/{limit.png => limit-light.png} | Bin img/log-dark.png | Bin 0 -> 7190 bytes img/{log.png => log-light.png} | Bin img/long-dark.png | Bin 0 -> 23097 bytes img/{long.png => long-light.png} | Bin img/lorentz-dark.png | Bin 0 -> 8523 bytes img/{lorentz.png => lorentz-light.png} | Bin img/matrixmult-dark.png | Bin 0 -> 11525 bytes img/{matrixmult.png => matrixmult-light.png} | Bin img/maxwell-dark.png | Bin 0 -> 17231 bytes img/{maxwell.png => maxwell-light.png} | Bin img/quadratic-dark.png | Bin 0 -> 6120 bytes img/{quadratic.png => quadratic-light.png} | Bin img/ramanujan-dark.png | Bin 0 -> 11542 bytes img/{ramanujan.png => ramanujan-light.png} | Bin img/schroedinger-dark.png | Bin 0 -> 11446 bytes ...chroedinger.png => schroedinger-light.png} | Bin img/square-dark.png | Bin 0 -> 5091 bytes img/{square.png => square-light.png} | Bin img/st-dark.png | Bin 0 -> 6338 bytes img/{st.png => st-light.png} | Bin img/standard-dark.png | Bin 0 -> 8098 bytes img/{standard.png => standard-light.png} | Bin img/stirling-dark.png | Bin 0 -> 11308 bytes img/{stirling.png => stirling-light.png} | Bin img/trig-dark.png | Bin 0 -> 7656 bytes img/{trig.png => trig-light.png} | Bin 46 files changed, 81 insertions(+), 33 deletions(-) create mode 100644 img/amgm-dark.png rename img/{amgm.png => amgm-light.png} (100%) create mode 100644 img/calculus-dark.png rename img/{calculus.png => calculus-light.png} (100%) create mode 100644 img/cases-dark.png rename img/{cases.png => cases-light.png} (100%) create mode 100644 img/cauchyintegral-dark.png rename img/{cauchyintegral.png => cauchyintegral-light.png} (100%) create mode 100644 img/cauchyschwarz-dark.png rename img/{cauchyschwarz.png => cauchyschwarz-light.png} (100%) create mode 100644 img/cross-dark.png rename img/{cross.png => cross-light.png} (100%) create mode 100644 img/demorgan-dark.png rename img/{demorgan.png => demorgan-light.png} (100%) create mode 100644 img/gaussintegral-dark.png rename img/{gaussintegral.png => gaussintegral-light.png} (100%) create mode 100644 img/limit-dark.png rename img/{limit.png => limit-light.png} (100%) create mode 100644 img/log-dark.png rename img/{log.png => log-light.png} (100%) create mode 100644 img/long-dark.png rename img/{long.png => long-light.png} (100%) create mode 100644 img/lorentz-dark.png rename img/{lorentz.png => lorentz-light.png} (100%) create mode 100644 img/matrixmult-dark.png rename img/{matrixmult.png => matrixmult-light.png} (100%) create mode 100644 img/maxwell-dark.png rename img/{maxwell.png => maxwell-light.png} (100%) create mode 100644 img/quadratic-dark.png rename img/{quadratic.png => quadratic-light.png} (100%) create mode 100644 img/ramanujan-dark.png rename img/{ramanujan.png => ramanujan-light.png} (100%) create mode 100644 img/schroedinger-dark.png rename img/{schroedinger.png => schroedinger-light.png} (100%) create mode 100644 img/square-dark.png rename img/{square.png => square-light.png} (100%) create mode 100644 img/st-dark.png rename img/{st.png => st-light.png} (100%) create mode 100644 img/standard-dark.png rename img/{standard.png => standard-light.png} (100%) create mode 100644 img/stirling-dark.png rename img/{stirling.png => stirling-light.png} (100%) create mode 100644 img/trig-dark.png rename img/{trig.png => trig-light.png} (100%) diff --git a/EXAMPLES.md b/EXAMPLES.md index 0fd62fa..3dc9e02 100644 --- a/EXAMPLES.md +++ b/EXAMPLES.md @@ -5,91 +5,104 @@ (a_1 + a_2)^2 = a_1^2 + 2a_1a_2 + a_2^2 ``` -![Square Formula](img/square.png) +![Square Formula](img/square-light.png#gh-light-mode-only) +![Square Formula](img/square-dark.png#gh-dark-mode-only) ## Quadratic Formula ```LaTeX x = \frac{-b \pm \sqrt{b^2-4ac}}{2a} ``` -![Quadratic Formula](img/quadratic.png) +![Quadratic Formula](img/quadratic-light.png#gh-light-mode-only) +![Quadratic Formula](img/quadratic-dark.png#gh-dark-mode-only) ## Standard Deviation ```LaTeX \sigma = \sqrt{\frac{1}{N}\sum_{i=1}^N (x_i - \mu)^2} ``` -![Standard Deviation](img/standard.png) +![Standard Deviation](img/standard-light.png#gh-light-mode-only) +![Standard Deviation](img/standard-dark.png#gh-dark-mode-only) ## De Morgan's laws ```LaTeX \neg(P\land Q) \iff (\neg P)\lor(\neg Q) ``` -![De Morgan](img/demorgan.png) +![De Morgan](img/demorgan-light.png#gh-light-mode-only) +![De Morgan](img/demorgan-dark.png#gh-dark-mode-only) ## Log Change of Base ```LaTeX \log_b(x) = \frac{\log_a(x)}{\log_a(b)} ``` -![Log Base Change](img/log.png) +![Log Base Change](img/log-light.png#gh-light-mode-only) +![Log Base Change](img/log-dark.png#gh-dark-mode-only) ## Cosine addition ```LaTeX \cos(\theta + \varphi) = \cos(\theta)\cos(\varphi) - \sin(\theta)\sin(\varphi) ``` -![Cos Sum](img/trig.png) +![Cos Sum](img/trig-light.png#gh-light-mode-only) +![Cos Sum](img/trig-dark.png#gh-dark-mode-only) ## Limit e^k ```LaTeX \lim_{x\to\infty}\left(1 + \frac{k}{x}\right)^x = e^k ``` -![Limit](img/limit.png) +![Limit](img/limit-light.png#gh-light-mode-only) +![Limit](img/limit-dark.png#gh-dark-mode-only) ## Calculus ```LaTeX f(x) = \int\limits_{-\infty}^\infty\hat f(\xi)\,e^{2 \pi i \xi x}\,\mathrm{d}\xi ``` -![Calculus](img/calculus.png) +![Calculus](img/calculus-light.png#gh-light-mode-only) +![Calculus](img/calculus-dark.png#gh-dark-mode-only) ## Stirling Numbers of the Second Kind ```LaTeX {n \brace k} = \frac{1}{k!}\sum_{j=0}^k (-1)^{k-j}\binom{k}{j}(k-j)^n ``` -![Stirling Numbers](img/stirling.png) +![Stirling Numbers](img/stirling-light.png#gh-light-mode-only) +![Stirling Numbers](img/stirling-dark.png#gh-dark-mode-only) ## Gaussian Integral ```LaTeX \int_{-\infty}^{\infty} \! e^{-x^2} dx = \sqrt{\pi} ``` -![Gauss Integral](img/gaussintegral.png) +![Gauss Integral](img/gaussintegral-light.png#gh-light-mode-only) +![Gauss Integral](img/gaussintegral-dark.png#gh-dark-mode-only) ## Arithmetic mean, geometric mean inequality ```LaTeX \frac{1}{n}\sum_{i=1}^{n}x_i \geq \sqrt[n]{\prod_{i=1}^{n}x_i} ``` -![AM-GM](img/amgm.png) +![AM-GM](img/amgm-light.png#gh-light-mode-only) +![AM-GM](img/amgm-dark.png#gh-dark-mode-only) ## Cauchy-Schwarz inequality ```LaTeX \left(\sum_{k=1}^n a_k b_k \right)^2 \le \left(\sum_{k=1}^n a_k^2\right)\left(\sum_{k=1}^n b_k^2\right) ``` -![Cauchy Schwarz](img/cauchyschwarz.png) +![Cauchy Schwarz](img/cauchyschwarz-light.png#gh-light-mode-only) +![Cauchy Schwarz](img/cauchyschwarz-dark.png#gh-dark-mode-only) ## Cauchy integral formula ```LaTeX f^{(n)}(z_0) = \frac{n!}{2\pi i}\oint_\gamma\frac{f(z)}{(z-z_0)^{n+1}}dz ``` -![Cauchy Integral](img/cauchyintegral.png) +![Cauchy Integral](img/cauchyintegral-light.png#gh-light-mode-only) +![Cauchy Integral](img/cauchyintegral-dark.png#gh-dark-mode-only) ## Schroedinger's Equation ```LaTeX @@ -97,7 +110,8 @@ i\hbar\frac{\partial}{\partial t}\mathbf\Psi(\mathbf{x},t) = -\frac{\hbar}{2m}\n + V(\mathbf{x})\mathbf\Psi(\mathbf{x},t) ``` -![Schroedinger](img/schroedinger.png) +![Schroedinger](img/schroedinger-light.png#gh-light-mode-only) +![Schroedinger](img/schroedinger-dark.png#gh-dark-mode-only) ## Lorentz Equations Use the `gather` or `displaylines` environments to center multiple @@ -110,7 +124,8 @@ equations. \end{gather} ``` -![Lorentz](img/lorentz.png) +![Lorentz](img/lorentz-light.png#gh-light-mode-only) +![Lorentz](img/lorentz-dark.png#gh-dark-mode-only) ## Cross product ```LaTeX @@ -121,7 +136,8 @@ equations. \end{vmatrix} ``` -![Cross Product](img/cross.png) +![Cross Product](img/cross-light.png#gh-light-mode-only) +![Cross Product](img/cross-dark.png#gh-dark-mode-only) ## Maxwell's Equations Use the `aligned`, `eqalign` or `split` environments to align @@ -135,7 +151,8 @@ multiple equations. \end{eqalign} ``` -![Maxwell's Equations](img/maxwell.png) +![Maxwell's Equations](img/maxwell-light.png#gh-light-mode-only) +![Maxwell's Equations](img/maxwell-dark.png#gh-dark-mode-only) ## Matrix multiplication Supported matrix environments: `matrix`, `pmatrix`, `bmatrix`, `Bmatrix`, @@ -153,7 +170,8 @@ c\alpha + d\gamma & c\beta + d \delta \end{pmatrix} ``` -![Matrix Multiplication](img/matrixmult.png) +![Matrix Multiplication](img/matrixmult-light.png#gh-light-mode-only) +![Matrix Multiplication](img/matrixmult-dark.png#gh-dark-mode-only) ## Cases ```LaTeX @@ -163,7 +181,8 @@ f(x) = \begin{cases} \end{cases} ``` -![Cases](img/cases.png) +![Cases](img/cases-light.png#gh-light-mode-only) +![Cases](img/cases-dark.png#gh-dark-mode-only) ## Splitting long equations ```LaTeX @@ -173,4 +192,5 @@ f(x) = \begin{cases} \left( o_t - \hat{\mu}_m^{(s)} \right) ^T \cal C_m^{(s)-1} \right) ``` -![Long equation](img/long.png) +![Long equation](img/long-light.png#gh-light-mode-only) +![Long equation](img/long-dark.png#gh-dark-mode-only) diff --git a/README.md b/README.md index d16b9dd..825bafc 100644 --- a/README.md +++ b/README.md @@ -3,7 +3,10 @@ `SwiftMath` provides a full Swift implementation of [iosMath](https://travis-ci.org/kostub/iosMath) for displaying beautifully rendered math equations in iOS and MacOS applications. It typesets formulae written using LaTeX in a `UILabel` equivalent class. It uses the same typesetting rules as LaTeX and -so the equations are rendered exactly as LaTeX would render them. +so the equations are rendered exactly as LaTeX would render them. + +Please also check out [SwiftMathDemo](https://github.com/mgriebling/SwiftMathDemo.git) for examples of how to use `SwiftMath` +from SwiftUI. `SwiftMath` is similar to [MathJax](https://www.mathjax.org) or [KaTeX](https://github.com/Khan/KaTeX) for the web but for native iOS or MacOS @@ -25,31 +28,35 @@ Here are screenshots of some formulae that were rendered with this library: x = \frac{-b \pm \sqrt{b^2-4ac}}{2a} ``` -![Quadratic Formula](img/quadratic.png) +![Quadratic Formula](img/quadratic-light.png#gh-light-mode-only) +![Quadratic Formula](img/quadratic-dark.png#gh-dark-mode-only) ```LaTeX f(x) = \int\limits_{-\infty}^\infty\!\hat f(\xi)\,e^{2 \pi i \xi x}\,\mathrm{d}\xi ``` -![Calculus](img/calculus.png) +![Calculus](img/calculus-light.png#gh-light-mode-only) +![Calculus](img/calculus-dark.png#gh-dark-mode-only) ```LaTeX \frac{1}{n}\sum_{i=1}^{n}x_i \geq \sqrt[n]{\prod_{i=1}^{n}x_i} ``` -![AM-GM](img/amgm.png) +![AM-GM](img/amgm-light.png#gh-light-mode-only) +![AM-GM](img/amgm-dark.png#gh-dark-mode-only) ```LaTex \frac{1}{\left(\sqrt{\phi \sqrt{5}}-\phi\\right) e^{\frac25 \pi}} = 1+\frac{e^{-2\pi}} {1 +\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}} {1+\frac{e^{-8\pi}} {1+\cdots} } } } ``` -![Ramanujan Identity](img/ramanujan.png) +![Ramanujan Identity](img/ramanujan-light.png#gh-light-mode-only) +![Ramanujan Identity](img/ramanujan-dark.png#gh-dark-mode-only) More examples are included in [EXAMPLES](EXAMPLES.md) ## Requirements -`SwiftMath` works on iOS 11+ or MacOS 11+. It depends +`SwiftMath` works on iOS 11+ or MacOS 12+. It depends on the following Apple frameworks: * Foundation.framework @@ -155,7 +162,7 @@ This is a list of formula types that the library currently supports: * Greek alphabet * Combinatorics (\\binom, \\choose etc.) * Geometry symbols (e.g. angle, congruence etc.) -* Ratios, proportions, percents +* Ratios, proportions, percentages * Math spacing * Overline and underline * Math accents @@ -165,6 +172,18 @@ This is a list of formula types that the library currently supports: * Most commonly used math symbols * Colors +Note: SwiftMath only supports the commands in LaTeX's math mode. There is +also no language support for other than west European langugages and some +Cyrillic characters. There would be two ways to support more languages: + +1) Find a math font compatible with `SwiftMath` that contains all the glyphs +for that language. +2) Add support to `SwiftMath` for standard Unicode fonts that contain all +langauge glyphs. + +Of these two, the first is much easier. However, if you want a challenge, +try to tackle the second option. + ### Example The [SwiftMathDemo](https://github.com/mgriebling/SwiftMathDemo) is a SwiftUI version @@ -194,10 +213,10 @@ label.textAlignment = .center ``` ##### Font size -The default font-size is 25pt. You can change it as follows: +The default font-size is 30pt. You can change it as follows: ```swift -label.fontSize = 30 +label.fontSize = 25 ``` ##### Font The default font is *Latin Modern Math*. This can be changed as: @@ -206,11 +225,18 @@ The default font is *Latin Modern Math*. This can be changed as: label.font = MTFontManager.fontmanager.termesFont(withSize:20) ``` -This project has 3 fonts bundled with it, but you can use any OTF math -font. Note: I couldn't get the `iosMath` Python script to work. If -you do manage to get it working, please let me know. +This project has five fonts bundled with it, but you can use any OTF math +font. A python script is included that generates the `.plist` files +required for an `.otf` font to work with `SwiftMath`. If you generate +(and test) any other fonts please contribute them back to this project for +others to benefit. -##### Color +Note: The `KpMath-Light` and `KpMath-Sans` fonts current do not correctly +render very large radicals correctly. It appears that the font files do +not correctly define the offsets required to typeset these glyphs. If +anyone can fix this, it would be greatly appreciated. + +##### Text Color The default color of the rendered equation is black. 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