[GH-ISSUE #255] [Solver] Add some new features in output #101

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opened 2026-05-06 13:15:26 +02:00 by BreizhHardware · 1 comment

BreizhHardware commented

2026-05-06 13:15:26 +02:00

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Originally created by @RedGl0w on GitHub (Jun 18, 2022).
Original GitHub issue: https://github.com/UpsilonNumworks/Upsilon/issues/255

In the results of an equation solved in the solver app, there could be some other features :

add (if possible) a graph of the 2 fonctions, with the solution highlighted (with some dots) ?
with 2 unknown variables in a linear system, graph the two lines, even when there isn't solution
with simple trigonometry equation, graph a trigonometric circle with the solutions highlighted ?

Originally created by @RedGl0w on GitHub (Jun 18, 2022). Original GitHub issue: https://github.com/UpsilonNumworks/Upsilon/issues/255 In the results of an equation solved in the solver app, there could be some other features : - add (if possible) a graph of the 2 fonctions, with the solution highlighted (with some dots) ? - with 2 unknown variables in a linear system, graph the two lines, even when there isn't solution - with simple trigonometry equation, graph a trigonometric circle with the solutions highlighted ?

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2026-05-06 13:15:26 +02:00

BreizhHardware commented

2026-05-06 13:15:26 +02:00

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@Mino1289 commented on GitHub (Jul 7, 2022):

Maybe, before adding features in the output, I think it would also be interesting to add new types of equations.
Like :

z^n = a where (z,a)\in\mathbb{C}^2 and n\in\mathbb{N}.
Here the solutions are \exists k\in [\![0, n-1]\!]; z_k = \sqrt[n]{\left | a\right |}\times e^{i\frac{\theta+2k\pi}{n}}
Adding the exact solution for trigonometry equation.
Let a \in\mathbb{R},
- \cos x = \cos a \Longleftrightarrow x = a+2k\pi\space (k \in \mathbb{Z}) \text{ or } x = -a+2k'\pi\space (k' \in \mathbb{Z})
- \sin x = \sin a \Longleftrightarrow x = a+2k\pi\space (k \in \mathbb{Z}) \text{ ou } x = \pi-a+2k'\pi\space (k' \in \mathbb{Z})
- \tan x = \tan a \Longleftrightarrow x = a+k\pi\space(k\in\mathbb{Z})
Adding Diophantine equation
Let (a,b,c)\in\mathbb{Z},
- ax + by = c where only (x,y)\in\mathbb{Z} fit.
Maybe differential equations, but it's another level.

@Mino1289 commented on GitHub (Jul 7, 2022): Maybe, before adding features in the output, I think it would also be interesting to add new types of equations. Like : - $z^n = a$ where $(z,a)\in\mathbb{C}^2$ and $n\in\mathbb{N}$. Here the solutions are $\exists k\in [\![0, n-1]\!]; z_k = \sqrt[n]{\left | a\right |}\times e^{i\frac{\theta+2k\pi}{n}}$ - Adding the exact solution for trigonometry equation. Let $a \in\mathbb{R}$, * $\cos x = \cos a \Longleftrightarrow x = a+2k\pi\space (k \in \mathbb{Z}) \text{ or } x = -a+2k'\pi\space (k' \in \mathbb{Z})$ * $\sin x = \sin a \Longleftrightarrow x = a+2k\pi\space (k \in \mathbb{Z}) \text{ ou } x = \pi-a+2k'\pi\space (k' \in \mathbb{Z})$ * $\tan x = \tan a \Longleftrightarrow x = a+k\pi\space(k\in\mathbb{Z})$ - Adding [Diophantine equation](https://en.wikipedia.org/wiki/Diophantine_equation#Linear_Diophantine_equations " ") Let $(a,b,c)\in\mathbb{Z}$, * $ax + by = c$ where only $(x,y)\in\mathbb{Z}$ fit. - Maybe differential equations, but it's another level.

BreizhHardware referenced this issue

2026-05-06 13:16:29 +02:00

[PR #101] [MERGED] Fix sys in Python toolbox #255