From 5e454b9d810f90a0eb7efdedb2f545836b5b35e5 Mon Sep 17 00:00:00 2001 From: villares Date: Fri, 29 Mar 2019 23:18:22 -0300 Subject: [PATCH] 190329a --- 2019/sketch_190329a/arcs.py | 229 ++++++++++++++++++++++++ 2019/sketch_190329a/s0393.png | Bin 0 -> 12206 bytes 2019/sketch_190329a/s0488.png | Bin 0 -> 11079 bytes 2019/sketch_190329a/s0539.png | Bin 0 -> 10660 bytes 2019/sketch_190329a/s0591.png | Bin 0 -> 10278 bytes 2019/sketch_190329a/s0634.png | Bin 0 -> 10931 bytes 2019/sketch_190329a/s0683.png | Bin 0 -> 12010 bytes 2019/sketch_190329a/s0774.png | Bin 0 -> 12694 bytes 2019/sketch_190329a/s0838.png | Bin 0 -> 10544 bytes 2019/sketch_190329a/s0929.png | Bin 0 -> 7757 bytes 2019/sketch_190329a/s1066.png | Bin 0 -> 15446 bytes 2019/sketch_190329a/s1423.png | Bin 0 -> 12182 bytes 2019/sketch_190329a/s1516.png | Bin 0 -> 13418 bytes 2019/sketch_190329a/s1795.png | Bin 0 -> 8938 bytes 2019/sketch_190329a/s1882.png | Bin 0 -> 12813 bytes 2019/sketch_190329a/s2021.png | Bin 0 -> 10426 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00000000..68333772 --- /dev/null +++ b/2019/sketch_190329a/arcs.py @@ -0,0 +1,229 @@ +# -*- coding: utf-8 -*- + +ROTATION = {0: 0, + BOTTOM: 0, + DOWN: 0, + 1: HALF_PI, + LEFT: HALF_PI, + 2: PI, + TOP: PI, + UP: PI, + 3: PI + HALF_PI, + RIGHT: PI + HALF_PI, + BOTTOM + RIGHT: 0, + DOWN + RIGHT: 0, + DOWN + LEFT: HALF_PI, + BOTTOM + LEFT: HALF_PI, + TOP + LEFT: PI, + UP + LEFT: PI, + TOP + RIGHT: PI + HALF_PI, + UP + RIGHT: PI + HALF_PI, + } + +def quarter_circle(x, y, radius, quadrant): + circle_arc(x, y, radius, ROTATION[quadrant], HALF_PI) + +def half_circle(x, y, radius, quadrant): + circle_arc(x, y, radius, ROTATION[quadrant], PI) + +def circle_arc(x, y, radius, start_ang, sweep_ang): + arc(x, y, radius * 2, radius * 2, start_ang, start_ang + sweep_ang) + +def poly_arc(x, y, radius, start_ang, sweep_ang, num_points=2): + angle = sweep_ang / int(num_points) + a = start_ang + with beginShape(): + while a <= start_ang + sweep_ang: + sx = x + cos(a) * radius + sy = y + sin(a) * radius + vertex(sx, sy) + a += angle + +def arc_poly(x, y, d, _, start_ang, end_ang, num_points=5): + sweep_ang = end_ang - start_ang + angle = sweep_ang / int(num_points) + a = start_ang + with beginShape(): + while a <= end_ang: + sx = x + cos(a) * d / 2 + sy = y + sin(a) * d / 2 + vertex(sx, sy) + a += angle + +def bar(x1, y1, x2, y2, thickness=None, shorter=0, ends=(1, 1)): + """ + O código para fazer as barras, dois pares (x, y), + um parâmetro de encurtamento: shorter + """ + L = dist(x1, y1, x2, y2) + if not thickness: + thickness = 10 + with pushMatrix(): + translate(x1, y1) + angle = atan2(x1 - x2, y2 - y1) + rotate(angle) + offset = shorter / 2 + line(thickness / 2, offset, thickness / 2, L - offset) + line(-thickness / 2, offset, -thickness / 2, L - offset) + if ends[0]: + half_circle(0, offset, thickness / 2, UP) + if ends[1]: + half_circle(0, L - offset, thickness / 2, DOWN) + +def var_bar(p1x, p1y, p2x, p2y, r1, r2=None): + if r2 is None: + r2 = r1 + #line(p1x, p1y, p2x, p2y) + d = dist(p1x, p1y, p2x, p2y) + ri = r1 - r2 + if d > abs(ri): + rid = (r1 - r2) / d + if rid > 1: + rid = 1 + if rid < -1: + rid = -1 + beta = asin(rid) + HALF_PI + with pushMatrix(): + translate(p1x, p1y) + angle = atan2(p1x - p2x, p2y - p1y) + rotate(angle + HALF_PI) + x1 = cos(beta) * r1 + y1 = sin(beta) * r1 + x2 = cos(beta) * r2 + y2 = sin(beta) * r2 + #print((d, beta, ri, x1, y1, x2, y2)) + with pushStyle(): + noStroke() + beginShape() + vertex(-x1, -y1) + vertex(d - x2, -y2) + vertex(d, 0) + vertex(d - x2, +y2) + vertex(-x1, +y1) + vertex(0, 0) + endShape(CLOSE) + line(-x1, -y1, d - x2, -y2) + line(-x1, +y1, d - x2, +y2) + arc(0, 0, r1 * 2, r1 * 2, + -beta - PI, beta - PI) + arc(d, 0, r2 * 2, r2 * 2, + beta - PI, PI - beta) + else: + ellipse(p1x, p1y, r1 * 2, r1 * 2) + ellipse(p2x, p2y, r2 * 2, r2 * 2) + +def poly_rounded2(p_list, r_list, open_poly=False): + """ + draws a 'filleted' polygon with variable radius + dependent on roundedCorner() + """ + if not open_poly: + with pushStyle(): + noStroke() + beginShape() + for p0, p1 in zip(p_list, [p_list[-1]] + p_list[:-1]): + m = (PVector(p0.x, p0.y) + PVector(p1.x, p1.y)) / 2 + vertex(m.x, m.y) + endShape(CLOSE) + for p0, p1, p2, r in zip(p_list, + [p_list[-1]] + p_list[:-1], + [p_list[-2]] + [p_list[-1]] + p_list[:-2], + [r_list[-1]] + r_list[:-1] + ): + m1 = (PVector(p0.x, p0.y) + PVector(p1.x, p1.y)) / 2 + m2 = (PVector(p2.x, p2.y) + PVector(p1.x, p1.y)) / 2 + roundedCorner(p1, m1, m2, r) + else: + for p0, p1, p2, r in zip(p_list[:-1], + [p_list[-1]] + p_list[:-2], + [p_list[-2]] + [p_list[-1]] + p_list[:-3], + [r_list[-1]] + r_list[:-2] + ): + m1 = (PVector(p0.x, p0.y) + PVector(p1.x, p1.y)) / 2 + m2 = (PVector(p2.x, p2.y) + PVector(p1.x, p1.y)) / 2 + roundedCorner(p1, m1, m2, r) + + +def roundedCorner(pc, p1, p2, r): + """ + Based on Stackoverflow C# rounded corner post + https://stackoverflow.com/questions/24771828/algorithm-for-creating-rounded-corners-in-a-polygon + """ + def GetProportionPoint(pt, segment, L, dx, dy): + factor = float(segment) / L if L != 0 else segment + return PVector((pt.x - dx * factor), (pt.y - dy * factor)) + + # Vector 1 + dx1 = pc.x - p1.x + dy1 = pc.y - p1.y + + # Vector 2 + dx2 = pc.x - p2.x + dy2 = pc.y - p2.y + + # Angle between vector 1 and vector 2 divided by 2 + angle = (atan2(dy1, dx1) - atan2(dy2, dx2)) / 2 + + # The length of segment between angular point and the + # points of intersection with the circle of a given radius + tng = abs(tan(angle)) + segment = r / tng if tng != 0 else r + + # Check the segment + length1 = sqrt(dx1 * dx1 + dy1 * dy1) + length2 = sqrt(dx2 * dx2 + dy2 * dy2) + + min_len = min(length1, length2) + + if segment > min_len: + segment = min_len + max_r = min_len * abs(tan(angle)) + else: + max_r = r + + # Points of intersection are calculated by the proportion between + # length of vector and the length of the segment. + p1Cross = GetProportionPoint(pc, segment, length1, dx1, dy1) + p2Cross = GetProportionPoint(pc, segment, length2, dx2, dy2) + + # Calculation of the coordinates of the circle + # center by the addition of angular vectors. + dx = pc.x * 2 - p1Cross.x - p2Cross.x + dy = pc.y * 2 - p1Cross.y - p2Cross.y + + L = sqrt(dx * dx + dy * dy) + d = sqrt(segment * segment + max_r * max_r) + + circlePoint = GetProportionPoint(pc, d, L, dx, dy) + + # StartAngle and EndAngle of arc + startAngle = atan2(p1Cross.y - circlePoint.y, p1Cross.x - circlePoint.x) + endAngle = atan2(p2Cross.y - circlePoint.y, p2Cross.x - circlePoint.x) + + # Sweep angle + sweepAngle = endAngle - startAngle + + # Some additional checks + if sweepAngle < 0: + startAngle, endAngle = endAngle, startAngle + sweepAngle = -sweepAngle + + if sweepAngle > PI: + startAngle, endAngle = endAngle, startAngle + sweepAngle = TWO_PI - sweepAngle + + # Draw result using graphics + # noStroke() + with pushStyle(): + noStroke() + beginShape() + vertex(p1.x, p1.y) + vertex(p1Cross.x, p1Cross.y) + vertex(p2Cross.x, p2Cross.y) + vertex(p2.x, 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create_list() + +def create_list(): + global p_list + p_list = [PVector(random(r * 2, width - r * 2), + random(r * 2, height - r * 2)) + for r in rad_list] +def draw(): + background(200) + + noFill() + strokeWeight(1) + poly_rounded2(p_list, rad_list, open_poly=False) + strokeWeight(2) + poly_rounded3(p_list, rad_list) + +def poly_rounded3(p_list, r_list): + a_list = [] + for i1 in range(len(p_list)): + i2 = (i1 + 1) % len(p_list) + p1, p2, r1, r2 = p_list[i1], p_list[i2], r_list[i1], r_list[i2] + a = circ_circ_tangent(p1, p2, r1, r2) + a_list.append(a) + ellipse(p1.x, p1.y, 2, 2) + + for i1 in range(len(a_list)): + i2 = (i1 + 1) % len(a_list) + p1, p2, r1, r2 = p_list[i1], p_list[i2], r_list[i1], r_list[i2] + #ellipse(p1.x, p1.y, r1 * 2, r1 * 2) + a1 = a_list[i1] + a2 = a_list[i2] + if a1 and a2: + start = a1 if a1 < a2 else a1 - TWO_PI + arc(p2.x, p2.y, r2 * 2, r2 * 2, start, a2) + elif a1: + println((a1, a2)) + ellipse(p1.x, p1.y, r1 * 2, r1 * 2) + else: + ellipse(p2.x, p2.y, r2 * 2, r2 * 2) + println((a1, a2)) + + +def circ_circ_tangent(p1, p2, r1, r2): + d = dist(p1.x, p1.y, p2.x, p2.y) + ri = r1 - r2 + line_angle = atan2(p1.x - p2.x, p2.y - p1.y) + if d > abs(ri): + theta = asin(ri / float(d)) + + x1 = cos(line_angle - theta) * r1 + y1 = sin(line_angle - theta) * r1 + x2 = cos(line_angle - theta) * r2 + y2 = sin(line_angle - theta) * r2 + # line(p1.x - x1, p1.y - y1, p2.x - x2, p2.y - y2) + + x1 = -cos(line_angle + theta) * r1 + y1 = -sin(line_angle + theta) * r1 + x2 = -cos(line_angle + theta) * r2 + y2 = -sin(line_angle + theta) * r2 + line(p1.x - x1, p1.y - y1, p2.x - x2, p2.y - y2) + return (line_angle + theta) + else: + line(p1.x, p1.y, p2.x, p2.y) + return line_angle + +def mouseClicked(): + create_list() + +def keyPressed(): + saveFrame("s####.png") diff --git a/README.md b/README.md index ffda3189..220b16fa 100644 --- a/README.md +++ b/README.md @@ -23,6 +23,22 @@ Get updates from my sort-of-weekly newsletter: [[sketch-mail](https://villares.o ## 2019 +--- + +![sketch_190329a](2019/sketch_190329a/sketch_190329a.gif) + +[sketch_190329a](https://github.com/villares/sketch-a-day/tree/master/2019/sketch_190329a) [[Py.Processing](https://villares.github.io/como-instalar-o-processing-modo-python/index-EN)] + + + +--- + +![sketch_190328a](2019/sketch_190328a/sketch_190328a.png) + +[sketch_190328a](https://github.com/villares/sketch-a-day/tree/master/2019/sketch_190328a) [[Py.Processing](https://villares.github.io/como-instalar-o-processing-modo-python/index-EN)] + + + --- ![sketch_190327a](2019/sketch_190327a/sketch_190327a.png)