kopia lustrzana https://github.com/villares/sketch-a-day
190707
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Po Szerokość: | Wysokość: | Rozmiar: 250 KiB |
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# Alexandre B A Villares - https://abav.lugaralgum.com/sketch-a-day
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# More explorations of inerpolated combinations in grids
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from random import shuffle
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from itertools import product, combinations, permutations, combinations_with_replacement
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from var_bar import var_bar
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space, border = 40, 0
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position = 0 # initial position
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def setup():
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global line_combos, W, H, position, num
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size(820, 460)
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frameRate(1)
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rectMode(CENTER)
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strokeWeight(2)
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grid = product(range(-1, 1), repeat=2) # 2X2
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# all line combinations on a grid
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lines = permutations(grid, 2)
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# allow only some lines
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possible_lines = []
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for l in lines:
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(x0, y0), (x1, y1) = l[0], l[1]
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if dist(x0, y0, x1, y1) < 2: # rule defined here...
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possible_lines.append(l)
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num_possible_lines = len(possible_lines)
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println("Number of possible lines: {}".format(num_possible_lines))
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# main stuff
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line_combos = list(combinations(possible_lines, 3))
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# shuffle(line_combos) # ucomment to shuffle!
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num = len(line_combos)
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println("Number of combinations: {}".format(num))
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W = (width - border * 2) // space
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H = (height - border * 2) // space
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println("Cols: {} Rows: {} Visible grid: {}".format(W, H, W * H))
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def draw():
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global position
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background(240)
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i = position
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for y in range(H):
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for x in range(W):
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if i < len(line_combos):
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pushMatrix()
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# B option
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# translate(border / 2 + space + space * x,
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# border / 2 + space + space * y)
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translate(border + space + space * x,
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border + space + space * y)
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draw_combo(i)
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popMatrix()
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i += 1
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if i < len(line_combos):
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# gif_export(GifMaker, SKETCH_NAME)
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# gif_export(GifMaker, SKETCH_NAME[:-1] + "b") # B option
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position += H * W
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def draw_combo(n):
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colorMode(HSB)
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blendMode(MULTIPLY)
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noStroke()
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siz = space / 2. # B option
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line_combo = line_combos[n]
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combo_len = len(line_combo)
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for i, single_line in enumerate(line_combo):
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ni = (i + 1) % combo_len
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next_line = line_combo[ni]
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for j in range(4):
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c = lerpColor(color(i * 64, 128, 128), color(ni * 64, 128, 128), j)
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fill(c)
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(x0, y0), (x1, y1) = lerp_poly(single_line, next_line, j / 3.)
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var_bar(x0 * siz, y0 * siz, x1 * siz, y1 * siz, siz / 16, siz / 8)
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def keyPressed():
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global W, H
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if key == "s":
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saveFrame("####.png")
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def lerp_poly(p0, p1, t):
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pts = []
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for sp0, sp1 in zip(p0, p1):
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pts.append((lerp(sp0[0], sp1[0], t),
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lerp(sp0[1], sp1[1], t)))
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return pts
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def settings():
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from os import path
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global SKETCH_NAME
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SKETCH_NAME = path.basename(sketchPath())
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OUTPUT = ".png"
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println(
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"""
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[{0}](https://github.com/villares/sketch-a-day/tree/master/{2}/{0}) [[Py.Processing](https://villares.github.io/como-instalar-o-processing-modo-python/index-EN)]
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""".format(SKETCH_NAME, OUTPUT, year())
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)
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@ -0,0 +1,100 @@
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def var_bar(p1x, p1y, p2x, p2y, r1, r2=None):
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"""
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Tangent/tangent shape on 2 circles of arbitrary radius
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"""
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if r2 is None:
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r2 = r1
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#line(p1x, p1y, p2x, p2y)
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d = dist(p1x, p1y, p2x, p2y)
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ri = r1 - r2
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if d > abs(ri):
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rid = (r1 - r2) / d
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if rid > 1:
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rid = 1
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if rid < -1:
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rid = -1
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beta = asin(rid) + HALF_PI
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with pushMatrix():
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translate(p1x, p1y)
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angle = atan2(p1x - p2x, p2y - p1y)
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rotate(angle + HALF_PI)
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x1 = cos(beta) * r1
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y1 = sin(beta) * r1
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x2 = cos(beta) * r2
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y2 = sin(beta) * r2
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#print((d, beta, ri, x1, y1, x2, y2))
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beginShape()
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b_arc(0, 0, r1 * 2, r1 * 2,
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-beta - PI, beta - PI, mode=2)
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b_arc(d, 0, r2 * 2, r2 * 2,
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beta - PI, PI - beta, mode=2)
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endShape(CLOSE)
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else:
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ellipse(p1x, p1y, r1 * 2, r1 * 2)
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ellipse(p2x, p2y, r2 * 2, r2 * 2)
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def b_arc(cx, cy, w, h, start_angle, end_angle, mode=0):
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"""
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A bezier approximation of an arc
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using the same signature as the original Processing arc()
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mode: 0 "normal" arc, using beginShape() and endShape()
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1 "middle" used in recursive call of smaller arcs
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2 "naked" like normal, but without beginShape() and endShape()
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for use inside a larger PShape
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"""
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theta = end_angle - start_angle
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# Compute raw Bezier coordinates.
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if mode != 1 or theta < HALF_PI:
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x0 = cos(theta / 2.0)
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y0 = sin(theta / 2.0)
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x3 = x0
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y3 = 0 - y0
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x1 = (4.0 - x0) / 3.0
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if y0 != 0:
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y1 = ((1.0 - x0) * (3.0 - x0)) / (3.0 * y0) # y0 != 0...
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else:
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y1 = 0
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x2 = x1
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y2 = 0 - y1
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# Compute rotationally-offset Bezier coordinates, using:
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# x' = cos(angle) * x - sin(angle) * y
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# y' = sin(angle) * x + cos(angle) * y
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bezAng = start_angle + theta / 2.0
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cBezAng = cos(bezAng)
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sBezAng = sin(bezAng)
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rx0 = cBezAng * x0 - sBezAng * y0
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ry0 = sBezAng * x0 + cBezAng * y0
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rx1 = cBezAng * x1 - sBezAng * y1
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ry1 = sBezAng * x1 + cBezAng * y1
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rx2 = cBezAng * x2 - sBezAng * y2
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ry2 = sBezAng * x2 + cBezAng * y2
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rx3 = cBezAng * x3 - sBezAng * y3
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ry3 = sBezAng * x3 + cBezAng * y3
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# Compute scaled and translated Bezier coordinates.
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rx, ry = w / 2.0, h / 2.0
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px0 = cx + rx * rx0
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py0 = cy + ry * ry0
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px1 = cx + rx * rx1
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py1 = cy + ry * ry1
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px2 = cx + rx * rx2
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py2 = cy + ry * ry2
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px3 = cx + rx * rx3
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py3 = cy + ry * ry3
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# Debug points... comment this out!
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# stroke(0)
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# ellipse(px3, py3, 15, 15)
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# ellipse(px0, py0, 5, 5)
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# Drawing
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if mode == 0: # 'normal' arc (not 'middle' nor 'naked')
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beginShape()
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if mode != 1: # if not 'middle'
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vertex(px3, py3)
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if theta < HALF_PI:
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bezierVertex(px2, py2, px1, py1, px0, py0)
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else:
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# to avoid distortion, break into 2 smaller arcs
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b_arc(cx, cy, w, h, start_angle, end_angle - theta / 2.0, mode=1)
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b_arc(cx, cy, w, h, start_angle + theta / 2.0, end_angle, mode=1)
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if mode == 0: # end of a 'normal' arc
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endShape()
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@ -17,6 +17,11 @@ You may also support my artistic work, open teaching resources and research with
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---
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## 2019
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---
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[sketch_190707a](https://github.com/villares/sketch-a-day/tree/master/2019/sketch_190707a) [[Py.Processing](https://villares.github.io/como-instalar-o-processing-modo-python/index-EN)]
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---
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