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116 lines
3.5 KiB
Markdown
116 lines
3.5 KiB
Markdown
# function_grapher
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Given a set of points `[x, y, f(x, y)]` where `f(x, y)` is a mathematics function, the `function_grapher` module can create the graph of `f(x, y)`.
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It depends on the `line3d` and `polyline3d` modules so you have to include "line3d.scad" and "polyline3d.scad".
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## Parameters
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- `points` : A set of points `[x, y, f(x, y)]`. See examples below.
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- `thickness` : The face or line thickness.
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- `style` : The style of the graph. It accepts `"FACES"`, `"LINES"` and `"HULL_FACES"`. The default value is `"FACES"` which simply takes `f(x, y) - thickness` for each point to build a bottom. It may cause thickness problems when slopes is high. The `"HULL_FACES"` value can solve the problem but is slow. When assigning `"LINES"`, it uses lines to connect points.
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- `slicing` : Given a rectangle, we have two ways to slice it into two triangles. Using this parameter to determine the way you want. It accepts `"SLASH"` (default) and `"BACK_SLASH"`.
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- `$fa`, `$fs`, `$fn` : Used by the `circle` or `sphere` module internally. It affects the speed of rending. For example, a large `$fn` may be very slow when rending. Check [the circle module](https://en.wikibooks.org/wiki/OpenSCAD_User_Manual/Using_the_2D_Subsystem#circle) or [the sphere module](https://en.wikibooks.org/wiki/OpenSCAD_User_Manual/Primitive_Solids#sphere) for more details.
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## Examples
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include <line3d.scad>;
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include <polyline3d.scad>;
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include <function_grapher.scad>;
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points = [
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[[0, 0, 1], [1, 0, 2], [2, 0, 2], [3, 0, 3]],
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[[0, 1, 1], [1, 1, 4], [2, 1, 0], [3, 1, 3]],
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[[0, 2, 1], [1, 2, 3], [2, 2, 1], [3, 2, 3]],
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[[0, 3, 1], [1, 3, 3], [2, 3, 1], [3, 3, 3]]
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];
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thickness = 0.5;
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function_grapher(points, thickness);
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include <line3d.scad>;
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include <polyline3d.scad>;
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include <function_grapher.scad>;
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function f(x, y) =
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30 * (
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cos(sqrt(pow(x, 2) + pow(y, 2))) +
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cos(3 * sqrt(pow(x, 2) + pow(y, 2)))
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);
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thickness = 2;
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min_value = -200;
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max_value = 200;
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resolution = 10;
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points = [
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for(y = [min_value:resolution:max_value])
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[
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for(x = [min_value:resolution:max_value])
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[x, y, f(x, y)]
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]
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];
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function_grapher(points, thickness);
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include <line3d.scad>;
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include <polyline3d.scad>;
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include <function_grapher.scad>;
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function f(x, y) =
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30 * (
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cos(sqrt(pow(x, 2) + pow(y, 2))) +
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cos(3 * sqrt(pow(x, 2) + pow(y, 2)))
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);
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thickness = 2;
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min_value = -200;
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max_value = 200;
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resolution = 10;
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style = "LINES";
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points = [
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for(y = [min_value:resolution:max_value])
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[
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for(x = [min_value:resolution:max_value])
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[x, y, f(x, y)]
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]
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];
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function_grapher(points, thickness, style);
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include <line3d.scad>;
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include <polyline3d.scad>;
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include <function_grapher.scad>;
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function f(x, y) =
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30 * (
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cos(sqrt(pow(x, 2) + pow(y, 2))) +
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cos(3 * sqrt(pow(x, 2) + pow(y, 2)))
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);
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thickness = 2;
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min_value = -200;
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max_value = 200;
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resolution = 10;
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style = "LINES";
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slicing = "BACK_SLASH";
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points = [
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for(y = [min_value:resolution:max_value])
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[
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for(x = [min_value:resolution:max_value])
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[x, y, f(x, y)]
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]
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];
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function_grapher(points, thickness, style, slicing);
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