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Added: - comp.scl(comp, num) - quat.scl(quat, num) - plot.field(vec2field, scl, rgba, domain, origin, weight, res, context) - plot.d2fdx2(func, scl, rgba, domain, origin, weight, res, context) - geom.dist(p1, p2) - geom.distsq(p1, p2) - vec2.proj(vec2_1, vec2_2) - vec2.oproj(vec2_1, vec2_2) - vec2.fromPolar(vec2) - vec2.fromBipolar(vec2) - vec2.toPolar(vec2) - vec2.toBipolar(vec2) - vec2.field(p, q) - vec2.fromField(vec2field, vec2) - vec3.proj(vec3_1, vec3_2) - vec3.oproj(vec3_1, vec3_2) - vec3.fromCylindrical(vec3) - vec3.fromSpherical(vec3) - vec3.toCylindrical(vec3) - vec3.toSpherical(vec3) - vec3.field(p, q, r) - vec3.fromField(vec3field, vec3) - vec4.proj(vec4_1, vec4_2) - vec4.oproj(vec4_1, vec4_2) - vec4.fromHypercylindrical(vec4) - vec4.fromHyperspherical(vec4) - vec4.toHypercylindrical(vec4) - vec4.toHyperspherical(vec4) - vec4.field(p, q, r, s) - vec4.fromField(vec4field, vec4) - matr.rotater(rad, rady, radz) - calc.d2fdx2(func, val) - calc.tangent(func, val) - calc.normal(func, val) - calc.binormal(func, val) - calc.dfdv(func, vec2_pos, vec2_dir) - calc.dfrdt(func_1, func_2, val) - calc.grad(funcORvecfield, vec) - calc.grad2(funcORvecfield, vec) - calc.div(vecfield, vec) - calc.curl(vecfield, vec) - calc.fxydxdy(func, a, b, c, d) - calc.frdt(funcORvecfield, func, a, b) - calc.fds(func, a, b, c, d) - calc.fnds(vecfield, func, a, b, c, d) - calc.curvature(func, val) Removed: - geom.dist2D(p1, p2) - geom.dist3D(p1, p2) - vec2.rotate2D(vec2, rad) - vec3.rotatex(vec3, rad) - vec3.rotatey(vec3, rad) - vec3.rotatez(vec3, rad) - matr.rotater2D(rad) - matr.rotater3D(radx, rady, radz) Changed: - numb.Gaussian(height, mean, deviation) - real.function(definition, type) - real.val(func, val) - real.sqrt(num) - comp.magset(comp, num) - quat.magset(quat, num) - plot.xyplane(scl, rgba, origin, weight, context) - plot.rOplane(scl, rgba, origin, weight, context) - plot.function(func, scl, rgba, domain, origin, weight, context) - plot.comp(comp, scl, rgba, origin, weight, context) - plot.vec2(vec2, scl, rgba, origin, weight, context) - plot.field(vec2field, scl, rgba, domain, origin, weight, res, context) - plot.vec3(vec3, scl, rgba, origin, weight, context) - plot.matr(matr, scl, rgba, origin, weight, context) - plot.dfdx(func, scl, rgba, domain, origin, weight, res, context) - plot.fxdx(func, scl, rgba, domain, origin, weight, res, context) - plot.convolution(func_1, func_2, scl, rgba, domain, origin, weight, res, context) - plot.correlation(func_1, func_2, scl, rgba, domain, origin, weight, res, context) - plot.autocorrelation(func, scl, rgba, domain, origin, weight, res, context) - plot.Laplace(func, scl, rgba, domain, origin, weight, res, context) - plot.Fourier(func, scl, rgba, domain, origin, weight, res, context) - stat.mean(arr, type) - vec2.magset(vec2, num) - vec3.magset(vec3, num) - vec4.magset(vec4, num) - matr.invert(matr) - matr.toVector(matr, vec, type, rowORcol) - calc.dfdx(func, val) - calc.fxdx(func, a, b) - calc.mean(func, a, b)
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,81 @@ | ||
| /* | ||
| The Chalkboard Library ===> https://www.github.com/Zushah/Chalkboard | ||
| Version 1.3.0 Example Program: Fluid Flow | ||
| Authored by Zushah ===> https://www.github.com/Zushah | ||
| */ | ||
|
|
||
| // Get the JavaScript Canvas API | ||
| var ctx = document.getElementById("canvas").getContext("2d"); | ||
| canvas.width = window.innerWidth; | ||
| canvas.height = window.innerHeight; | ||
|
|
||
| var cb = Chalkboard; // Initialize Chalkboard as cb | ||
|
|
||
| // Vector field adapted from "Learning about Hamiltonian Monte Carlo" by @betanalpha and @rlmcelreath which can be found here: https://github.com/anvaka/fieldplay/blob/main/Awesome%20Fields.md | ||
| // Vector field defined as F(x, y) = (-y, -x/(1 + x^2)^2) | ||
| var F = cb.vec2.field("y", "-x / ((1 + x * x) * (1 + x * x))"); | ||
|
|
||
| // Basic particle system to simulate the fluid flow | ||
| class Particle { | ||
| constructor() { | ||
| this.pos = cb.vec2.new(cb.numb.random(-canvas.width / 2, canvas.width / 2), cb.numb.random(-canvas.height / 2, canvas.height / 2)); // Position vector | ||
| this.vel = cb.vec2.new(0, 0); // Velocity vector | ||
| this.ppos = this.pos; // Previous position vector | ||
| } | ||
| update() { | ||
| // Update the particle's position and velocity | ||
| this.vel = cb.vec2.magset(cb.vec2.fromField(F, cb.vec2.scl(this.pos, 1/100)), 5); // Velocity direction depends on the (scaled) vector field, velocity magnitude is set to always be 10 | ||
| this.pos = cb.vec2.add(this.pos, this.vel); // Velocity is added to the position | ||
| } | ||
| constrain() { | ||
| // Constrain the particle position within the canvas | ||
| // The canvas coordinates are within -width/-height and width/height so that the Cartestian point (0, 0) is in the center of the canvas | ||
| if(this.pos.x > canvas.width / 2) { | ||
| this.pos.x = -canvas.width / 2; | ||
| this.ppos = this.pos; | ||
| } | ||
| if(this.pos.x < -canvas.width / 2) { | ||
| this.pos.x = canvas.width / 2; | ||
| this.ppos = this.pos; | ||
| } | ||
| if(this.pos.y > canvas.height / 2) { | ||
| this.pos.y = -canvas.height / 2; | ||
| this.ppos = this.pos; | ||
| } | ||
| if(this.pos.y < -canvas.height / 2) { | ||
| this.pos.y = canvas.height / 2; | ||
| this.ppos = this.pos; | ||
| } | ||
| } | ||
| draw() { | ||
| // Draw the particle | ||
| ctx.strokeStyle = "rgba(0, 0, 255, 0.1)"; | ||
| ctx.lineWidth = 1; | ||
| ctx.save(); | ||
| ctx.translate(canvas.width / 2, canvas.height / 2); | ||
| ctx.beginPath(); | ||
| ctx.moveTo(this.pos.x, this.pos.y) | ||
| ctx.lineTo(this.ppos.x, this.ppos.y); | ||
| ctx.stroke(); | ||
| ctx.restore(); | ||
| this.ppos = this.pos; | ||
| this.update(); | ||
| this.constrain(); | ||
| } | ||
| } | ||
| // Create 500 particles in the particles array | ||
| var particles = []; | ||
| for(var i = 0; i < 500; i++) { | ||
| particles.push(new Particle()); | ||
| } | ||
|
|
||
| // Draw everything | ||
| ctx.fillStyle = "rgb(0, 0, 0)"; | ||
| ctx.fillRect(0, 0, canvas.width, canvas.height); | ||
| function main() { | ||
| for(var i = 0; i < particles.length; i++) { | ||
| particles[i].draw(); | ||
| } | ||
| window.requestAnimationFrame(main); | ||
| } | ||
| window.requestAnimationFrame(main); |
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