scruss/hootnanny-cleaned_up.py

## hootnanny-cleaned_up.py
#!/usr/bin/env python3
# hootnanny.py - simulate Hoot-Nanny / Magic Designer drawing toy
# Currently hard-coded to output figure "25KM" in HP-GL,
#  a simple but somewhat obsolete plotting language.
# Output figures as close to actual sizes as I could manage.
# All dimensions in inches, unfortunately, but HP-GL is bilingual.
# scruss, 2022-02 - code cleanup - 2022-12
# Licence: CC-BY-SA - share freely, but credit me and make your
#                     improvements freely available for all
# -*- coding: utf-8 -*-

from math import sin, cos, sqrt, radians, degrees, atan2


def arm_length(letter):
    """
    each metal arm has pivot holes marked A - R, at 1/4" spacing
    from 5.75 to 1.5". The perpendicular distance from the pivot holes
    to the pencil is 5/16". This doesn't add much to the overall arm
    length, but it's easy to take into account
    """
    if len(letter) > 1 or letter > "R" or letter < "A":
        # wrong input
        return None
    return sqrt(
        (5.75 - (ord(letter) - ord("A")) / 4.0) ** 2 + (5 / 16) ** 2
    )


def angle_setting(deg):
    """
    the hoot-nanny has two smaller gears: one fixed, the other on a movable
    track with a scale 10 to 70 degrees. The indicator isn't the same as the
    angle between the gears: when 40 degrees is indicated, the gears are
    60 degrees apart. So the actual range is 30 to 90 degrees.

    The smaller gears are 1" in diameter (32 teeth) on a 7" PCD
    Each smaller gear has a pivot point for the arms at 3/8" radius
    The large gear is 6" in diameter (192 teeth)
    """
    return 20 + deg


def distance(p1, p2):
    """
    return Euclidean distance between two points in 2d space
    Note that I'm using a two element list to represent [x, y]
    """
    return sqrt((p1[0] - p2[0]) ** 2 + (p1[1] - p2[1]) ** 2)


def epitrochoid(r1, r2, d, theta):
    """
    If you held the paper on the Hoot-Nanny fixed, the smaller
    gears would describe epitrochoids around the larger
    """
    return [
        (r1 + r2) * cos(theta) - d * cos(((r1 + r2) / r2) * theta),
        (r1 + r2) * sin(theta) - d * sin(((r1 + r2) / r2) * theta),
    ]


def nearest_circle_intersection(p0, p1, r0, r1):
    """
    return the intersection point of two circles nearer the origin
    if equidistant, may not return the point you expect
    """
    d = distance(p0, p1)
    a = (r0**2 - r1**2 + d**2) / (2 * d)
    h = sqrt(r0**2 - a**2)
    x2 = p0[0] + a * (p1[0] - p0[0]) / d
    y2 = p0[1] + a * (p1[1] - p0[1]) / d
    p3 = [x2 + h * (p1[1] - p0[1]) / d, y2 - h * (p1[0] - p0[0]) / d]
    p4 = [x2 - h * (p1[1] - p0[1]) / d, y2 + h * (p1[0] - p0[0]) / d]
    if distance(p3, [0, 0]) <= distance(p4, [0, 0]):
        return p3
    else:
        return p4


# this is where I hard-code the "25KM" setting
arm1 = arm_length("K")
arm2 = arm_length("M")
t = angle_setting(25)

# output the figure in HP-GL: it may be old, but it's very simple
# the path steps around a circle once in full degrees
for i in range(360):
    """
    p is the fixed smaller gear path:
     * large radius   = 3"
     * small radius   = 1/2"
     * cam arm length = 3/8"
    """
    p = epitrochoid(3, 1 / 2, 3 / 8, radians(i))
    # q is the movable smaller gear path
    q = epitrochoid(3, 1 / 2, 3 / 8, radians(i - t))
    # pencil holder is where the two arms intersect
    # coordinates of ph are [x, y] in inches (blecch)
    ph = nearest_circle_intersection(p, q, arm1, arm2)
    # scale to HP-GL units: 40 units / mm == 1016 units / inch
    # thanks, Carl Edvard Johansson!
    x = int(1016 * ph[0])
    y = int(1016 * ph[1])
    if i == 0:
        # initialize and plot first point
        print("IN;")  # HP-GL INitialize plotter
        print("SP1;")  # HP-GL Select Pen 1
        print("PU", x, ",", y, ";")  # HP-GL Pen Up (= move) to x, y
        print("PD;")  # HP-GL Pen Down (= plot)
        # save first point to close figure
        first = [x, y]
    else:
        print("PD", x, ",", y, ";")  # HP-GL Pen Down (= plot) to x, y
# close figure
print("PD", first[0], ",", first[1], ";")
# plot is now finished, so pick up pen and put it away
print("PU;")  # HP-GL Pen Up (= pick up pen, if no coordinates)
print("SP0;")  # HP-GL Select Pen 0 (= put the pen away)

## km25.hpgl
IN;
SP1;
PU 29 , -1052 ;
PD;
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PD 13 , -567 ;
PD -2 , -625 ;
PD -14 , -685 ;
PD -21 , -746 ;
PD -22 , -809 ;
PD -18 , -872 ;
PD -7 , -934 ;
PD 7 , -994 ;
PD 29 , -1052 ;
PU;
SP0;

## km25.svg
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	#!/usr/bin/env python3
	# hootnanny.py - simulate Hoot-Nanny / Magic Designer drawing toy
	# Currently hard-coded to output figure "25KM" in HP-GL,
	# a simple but somewhat obsolete plotting language.
	# Output figures as close to actual sizes as I could manage.
	# All dimensions in inches, unfortunately, but HP-GL is bilingual.
	# scruss, 2022-02 - code cleanup - 2022-12
	# Licence: CC-BY-SA - share freely, but credit me and make your
	# improvements freely available for all
	# -- coding: utf-8 --

	from math import sin, cos, sqrt, radians, degrees, atan2


	def arm_length(letter):
	"""
	each metal arm has pivot holes marked A - R, at 1/4" spacing
	from 5.75 to 1.5". The perpendicular distance from the pivot holes
	to the pencil is 5/16". This doesn't add much to the overall arm
	length, but it's easy to take into account
	"""
	if len(letter) > 1 or letter > "R" or letter < "A":
	# wrong input
	return None
	return sqrt(
	(5.75 - (ord(letter) - ord("A")) / 4.0) 2 + (5 / 16) 2
	)


	def angle_setting(deg):
	"""
	the hoot-nanny has two smaller gears: one fixed, the other on a movable
	track with a scale 10 to 70 degrees. The indicator isn't the same as the
	angle between the gears: when 40 degrees is indicated, the gears are
	60 degrees apart. So the actual range is 30 to 90 degrees.

	The smaller gears are 1" in diameter (32 teeth) on a 7" PCD
	Each smaller gear has a pivot point for the arms at 3/8" radius
	The large gear is 6" in diameter (192 teeth)
	"""
	return 20 + deg


	def distance(p1, p2):
	"""
	return Euclidean distance between two points in 2d space
	Note that I'm using a two element list to represent [x, y]
	"""
	return sqrt((p1[0] - p2[0]) 2 + (p1[1] - p2[1]) 2)


	def epitrochoid(r1, r2, d, theta):
	"""
	If you held the paper on the Hoot-Nanny fixed, the smaller
	gears would describe epitrochoids around the larger
	"""
	return [
	(r1 + r2) * cos(theta) - d * cos(((r1 + r2) / r2) * theta),
	(r1 + r2) * sin(theta) - d * sin(((r1 + r2) / r2) * theta),
	]


	def nearest_circle_intersection(p0, p1, r0, r1):
	"""
	return the intersection point of two circles nearer the origin
	if equidistant, may not return the point you expect
	"""
	d = distance(p0, p1)
	a = (r02 - r12 + d*2) / (2 d)
	h = sqrt(r02 - a2)
	x2 = p0[0] + a * (p1[0] - p0[0]) / d
	y2 = p0[1] + a * (p1[1] - p0[1]) / d
	p3 = [x2 + h * (p1[1] - p0[1]) / d, y2 - h * (p1[0] - p0[0]) / d]
	p4 = [x2 - h * (p1[1] - p0[1]) / d, y2 + h * (p1[0] - p0[0]) / d]
	if distance(p3, [0, 0]) <= distance(p4, [0, 0]):
	return p3
	else:
	return p4


	# this is where I hard-code the "25KM" setting
	arm1 = arm_length("K")
	arm2 = arm_length("M")
	t = angle_setting(25)

	# output the figure in HP-GL: it may be old, but it's very simple
	# the path steps around a circle once in full degrees
	for i in range(360):
	"""
	p is the fixed smaller gear path:
	* large radius = 3"
	* small radius = 1/2"
	* cam arm length = 3/8"
	"""
	p = epitrochoid(3, 1 / 2, 3 / 8, radians(i))
	# q is the movable smaller gear path
	q = epitrochoid(3, 1 / 2, 3 / 8, radians(i - t))
	# pencil holder is where the two arms intersect
	# coordinates of ph are [x, y] in inches (blecch)
	ph = nearest_circle_intersection(p, q, arm1, arm2)
	# scale to HP-GL units: 40 units / mm == 1016 units / inch
	# thanks, Carl Edvard Johansson!
	x = int(1016 * ph[0])
	y = int(1016 * ph[1])
	if i == 0:
	# initialize and plot first point
	print("IN;") # HP-GL INitialize plotter
	print("SP1;") # HP-GL Select Pen 1
	print("PU", x, ",", y, ";") # HP-GL Pen Up (= move) to x, y
	print("PD;") # HP-GL Pen Down (= plot)
	# save first point to close figure
	first = [x, y]
	else:
	print("PD", x, ",", y, ";") # HP-GL Pen Down (= plot) to x, y
	# close figure
	print("PD", first[0], ",", first[1], ";")
	# plot is now finished, so pick up pen and put it away
	print("PU;") # HP-GL Pen Up (= pick up pen, if no coordinates)
	print("SP0;") # HP-GL Select Pen 0 (= put the pen away)
	IN;
	SP1;
	PU 29 , -1052 ;
	PD;
	PD 55 , -1107 ;
	PD 87 , -1158 ;
	PD 124 , -1203 ;
	PD 164 , -1244 ;
	PD 209 , -1278 ;
	PD 256 , -1305 ;
	PD 306 , -1325 ;
	PD 358 , -1338 ;
	PD 411 , -1342 ;
	PD 464 , -1337 ;
	PD 516 , -1324 ;
	PD 568 , -1302 ;
	PD 617 , -1272 ;
	PD 664 , -1233 ;
	PD 708 , -1186 ;
	PD 748 , -1131 ;
	PD 783 , -1069 ;
	PD 814 , -1001 ;
	PD 839 , -927 ;
	PD 859 , -848 ;
	PD 874 , -765 ;
	PD 883 , -680 ;
	PD 886 , -593 ;
	PD 883 , -506 ;
	PD 875 , -420 ;
	PD 863 , -335 ;
	PD 845 , -254 ;
	PD 823 , -177 ;
	PD 797 , -105 ;
	PD 768 , -38 ;
	PD 736 , 20 ;
	PD 702 , 72 ;
	PD 667 , 116 ;
	PD 630 , 153 ;
	PD 594 , 181 ;
	PD 558 , 200 ;
	PD 523 , 212 ;
	PD 490 , 215 ;
	PD 460 , 211 ;
	PD 433 , 200 ;
	PD 410 , 181 ;
	PD 391 , 156 ;
	PD 376 , 126 ;
	PD 367 , 91 ;
	PD 363 , 51 ;
	PD 365 , 9 ;
	PD 372 , -36 ;
	PD 386 , -83 ;
	PD 406 , -131 ;
	PD 431 , -178 ;
	PD 462 , -226 ;
	PD 498 , -271 ;
	PD 540 , -315 ;
	PD 586 , -355 ;
	PD 636 , -392 ;
	PD 689 , -424 ;
	PD 746 , -451 ;
	PD 805 , -474 ;
	PD 865 , -490 ;
	PD 926 , -501 ;
	PD 986 , -505 ;
	PD 1046 , -503 ;
	PD 1104 , -494 ;
	PD 1160 , -479 ;
	PD 1211 , -458 ;
	PD 1259 , -430 ;
	PD 1301 , -397 ;
	PD 1338 , -358 ;
	PD 1367 , -314 ;
	PD 1390 , -266 ;
	PD 1405 , -214 ;
	PD 1412 , -159 ;
	PD 1410 , -101 ;
	PD 1400 , -41 ;
	PD 1381 , 20 ;
	PD 1354 , 82 ;
	PD 1318 , 143 ;
	PD 1274 , 204 ;
	PD 1222 , 263 ;
	PD 1164 , 320 ;
	PD 1100 , 374 ;
	PD 1030 , 424 ;
	PD 957 , 470 ;
	PD 880 , 512 ;
	PD 801 , 548 ;
	PD 722 , 579 ;
	PD 643 , 605 ;
	PD 565 , 624 ;
	PD 489 , 638 ;
	PD 418 , 646 ;
	PD 350 , 648 ;
	PD 288 , 644 ;
	PD 232 , 636 ;
	PD 182 , 623 ;
	PD 140 , 605 ;
	PD 105 , 584 ;
	PD 77 , 559 ;
	PD 58 , 533 ;
	PD 47 , 504 ;
	PD 43 , 475 ;
	PD 47 , 445 ;
	PD 59 , 417 ;
	PD 78 , 389 ;
	PD 104 , 363 ;
	PD 136 , 340 ;
	PD 174 , 320 ;
	PD 217 , 304 ;
	PD 265 , 293 ;
	PD 316 , 286 ;
	PD 370 , 284 ;
	PD 427 , 287 ;
	PD 484 , 296 ;
	PD 542 , 310 ;
	PD 600 , 329 ;
	PD 657 , 354 ;
	PD 712 , 385 ;
	PD 764 , 420 ;
	PD 813 , 460 ;
	PD 857 , 504 ;
	PD 896 , 551 ;
	PD 931 , 602 ;
	PD 959 , 654 ;
	PD 980 , 709 ;
	PD 995 , 764 ;
	PD 1002 , 820 ;
	PD 1002 , 875 ;
	PD 994 , 928 ;
	PD 979 , 979 ;
	PD 956 , 1027 ;
	PD 926 , 1070 ;
	PD 888 , 1109 ;
	PD 844 , 1143 ;
	PD 793 , 1171 ;
	PD 735 , 1192 ;
	PD 673 , 1206 ;
	PD 605 , 1213 ;
	PD 534 , 1213 ;
	PD 460 , 1205 ;
	PD 383 , 1190 ;
	PD 304 , 1168 ;
	PD 226 , 1140 ;
	PD 147 , 1105 ;
	PD 71 , 1064 ;
	PD -3 , 1018 ;
	PD -74 , 968 ;
	PD -140 , 915 ;
	PD -202 , 859 ;
	PD -258 , 801 ;
	PD -307 , 743 ;
	PD -350 , 685 ;
	PD -386 , 627 ;
	PD -414 , 572 ;
	PD -434 , 519 ;
	PD -448 , 469 ;
	PD -454 , 424 ;
	PD -453 , 383 ;
	PD -445 , 347 ;
	PD -432 , 317 ;
	PD -413 , 293 ;
	PD -389 , 275 ;
	PD -362 , 264 ;
	PD -331 , 260 ;
	PD -297 , 262 ;
	PD -262 , 272 ;
	PD -226 , 288 ;
	PD -190 , 311 ;
	PD -155 , 341 ;
	PD -121 , 376 ;
	PD -89 , 417 ;
	PD -60 , 463 ;
	PD -35 , 513 ;
	PD -13 , 567 ;
	PD 2 , 625 ;
	PD 14 , 685 ;
	PD 21 , 746 ;
	PD 22 , 809 ;
	PD 18 , 872 ;
	PD 7 , 934 ;
	PD -7 , 994 ;
	PD -29 , 1052 ;
	PD -55 , 1107 ;
	PD -87 , 1158 ;
	PD -124 , 1203 ;
	PD -164 , 1244 ;
	PD -209 , 1278 ;
	PD -256 , 1305 ;
	PD -306 , 1325 ;
	PD -358 , 1338 ;
	PD -411 , 1342 ;
	PD -464 , 1337 ;
	PD -516 , 1324 ;
	PD -568 , 1302 ;
	PD -617 , 1272 ;
	PD -664 , 1233 ;
	PD -708 , 1186 ;
	PD -748 , 1131 ;
	PD -783 , 1069 ;
	PD -814 , 1001 ;
	PD -839 , 927 ;
	PD -859 , 848 ;
	PD -874 , 765 ;
	PD -883 , 680 ;
	PD -886 , 593 ;
	PD -883 , 506 ;
	PD -875 , 420 ;
	PD -863 , 335 ;
	PD -845 , 254 ;
	PD -823 , 177 ;
	PD -797 , 105 ;
	PD -768 , 38 ;
	PD -736 , -20 ;
	PD -702 , -72 ;
	PD -667 , -116 ;
	PD -630 , -153 ;
	PD -594 , -181 ;
	PD -558 , -200 ;
	PD -523 , -212 ;
	PD -490 , -215 ;
	PD -460 , -211 ;
	PD -433 , -200 ;
	PD -410 , -181 ;
	PD -391 , -156 ;
	PD -376 , -126 ;
	PD -367 , -91 ;
	PD -363 , -51 ;
	PD -365 , -9 ;
	PD -372 , 36 ;
	PD -386 , 83 ;
	PD -406 , 131 ;
	PD -431 , 178 ;
	PD -462 , 226 ;
	PD -498 , 271 ;
	PD -540 , 315 ;
	PD -586 , 355 ;
	PD -636 , 392 ;
	PD -689 , 424 ;
	PD -746 , 451 ;
	PD -805 , 474 ;
	PD -865 , 490 ;
	PD -926 , 501 ;
	PD -986 , 505 ;
	PD -1046 , 503 ;
	PD -1104 , 494 ;
	PD -1160 , 479 ;
	PD -1211 , 458 ;
	PD -1259 , 430 ;
	PD -1301 , 397 ;
	PD -1338 , 358 ;
	PD -1367 , 314 ;
	PD -1390 , 266 ;
	PD -1405 , 214 ;
	PD -1412 , 159 ;
	PD -1410 , 101 ;
	PD -1400 , 41 ;
	PD -1381 , -20 ;
	PD -1354 , -82 ;
	PD -1318 , -143 ;
	PD -1274 , -204 ;
	PD -1222 , -263 ;
	PD -1164 , -320 ;
	PD -1100 , -374 ;
	PD -1030 , -424 ;
	PD -957 , -470 ;
	PD -880 , -512 ;
	PD -801 , -548 ;
	PD -722 , -579 ;
	PD -643 , -605 ;
	PD -565 , -624 ;
	PD -489 , -638 ;
	PD -418 , -646 ;
	PD -350 , -648 ;
	PD -288 , -644 ;
	PD -232 , -636 ;
	PD -182 , -623 ;
	PD -140 , -605 ;
	PD -105 , -584 ;
	PD -77 , -559 ;
	PD -58 , -533 ;
	PD -47 , -504 ;
	PD -43 , -475 ;
	PD -47 , -445 ;
	PD -59 , -417 ;
	PD -78 , -389 ;
	PD -104 , -363 ;
	PD -136 , -340 ;
	PD -174 , -320 ;
	PD -217 , -304 ;
	PD -265 , -293 ;
	PD -316 , -286 ;
	PD -370 , -284 ;
	PD -427 , -287 ;
	PD -484 , -296 ;
	PD -542 , -310 ;
	PD -600 , -329 ;
	PD -657 , -354 ;
	PD -712 , -385 ;
	PD -764 , -420 ;
	PD -813 , -460 ;
	PD -857 , -504 ;
	PD -896 , -551 ;
	PD -931 , -602 ;
	PD -959 , -654 ;
	PD -980 , -709 ;
	PD -995 , -764 ;
	PD -1002 , -820 ;
	PD -1002 , -875 ;
	PD -994 , -928 ;
	PD -979 , -979 ;
	PD -956 , -1027 ;
	PD -926 , -1070 ;
	PD -888 , -1109 ;
	PD -844 , -1143 ;
	PD -793 , -1171 ;
	PD -735 , -1192 ;
	PD -673 , -1206 ;
	PD -605 , -1213 ;
	PD -534 , -1213 ;
	PD -460 , -1205 ;
	PD -383 , -1190 ;
	PD -304 , -1168 ;
	PD -226 , -1140 ;
	PD -147 , -1105 ;
	PD -71 , -1064 ;
	PD 3 , -1018 ;
	PD 74 , -968 ;
	PD 140 , -915 ;
	PD 202 , -859 ;
	PD 258 , -801 ;
	PD 307 , -743 ;
	PD 350 , -685 ;
	PD 386 , -627 ;
	PD 414 , -572 ;
	PD 434 , -519 ;
	PD 448 , -469 ;
	PD 454 , -424 ;
	PD 453 , -383 ;
	PD 445 , -347 ;
	PD 432 , -317 ;
	PD 413 , -293 ;
	PD 389 , -275 ;
	PD 362 , -264 ;
	PD 331 , -260 ;
	PD 297 , -262 ;
	PD 262 , -272 ;
	PD 226 , -288 ;
	PD 190 , -311 ;
	PD 155 , -341 ;
	PD 121 , -376 ;
	PD 89 , -417 ;
	PD 60 , -463 ;
	PD 35 , -513 ;
	PD 13 , -567 ;
	PD -2 , -625 ;
	PD -14 , -685 ;
	PD -21 , -746 ;
	PD -22 , -809 ;
	PD -18 , -872 ;
	PD -7 , -934 ;
	PD 7 , -994 ;
	PD 29 , -1052 ;
	PU;
	SP0;