def waning_moon(X, r, cx, cy) :
'''draws a waning moon figure, used for moonrise.'''
p = path.path(path.moveto(cx, cy+r))
p.append(path.arc(cx, cy, r, 90, -90))
if X>0.5 :
R = R_of_S(X-0.5)*r
theta = asin(r/R)*180/PI
moon_arc_p = path.arc(cx-sqrt(R*R-r*r), cy, R, -theta, theta)
else :
R = R_of_S(0.5-X)*r
theta = asin(r/R)*180/PI
moon_arc_p = path.arc(cx+sqrt(R*R-r*r), cy, R, 180-theta, 180+theta)
p = path.path.reversed(p)
p.append(moon_arc_p)
return p
def draw_sector(self, end):
"""draw the sector"""
segment = path.path(
path.arc(self.xo, self.yo, self.inner_r, self.start_angle,
self.end_angle),
path.arcn(self.xo, self.yo, self.sector_width + self.inner_r,
self.end_angle, self.start_angle), path.closepath())
self.shape_canvas.fill(segment, [self.sector_color])
# draw a delimiting line between sectors
line_color = color.gray(0.15)
if end and (self.end_angle - self.start_angle) < 0.25:
line_color = color.rgb.red
r = self.inner_r + self.sector_width
start_radians = self.start_angle * pi / 180.0
end_radians = self.end_angle * pi / 180.0
x0 = self.inner_r * cos(start_radians) + self.xo
y0 = self.inner_r * sin(start_radians) + self.yo
x1 = r * cos(start_radians) + self.xo
y1 = r * sin(start_radians) + self.yo
self.shape_canvas.stroke(path.line(x0, y0, x1, y1),
[style.linewidth(0.01), line_color])
x0 = self.inner_r * cos(end_radians) + self.xo
y0 = self.inner_r * sin(end_radians) + self.yo
x1 = r * cos(end_radians) + self.xo
y1 = r * sin(end_radians) + self.yo
self.shape_canvas.stroke(path.line(x0, y0, x1, y1),
[style.linewidth(0.01), line_color])
def server(r, servercolor=color.rgb(0.5, 0.5, 0.8)):
c = canvas.canvas()
c.fill(path.circle(0, 0, r), [servercolor, trafo.scale(1, 0.5)])
h = 2 * r
p = path.path(path.moveto(-r, 0), path.lineto(-r, -h),
path.arc(0, -h, r, 180, 0), path.lineto(r, 0),
path.arcn(0, 0, r, 0, 180), path.closepath())
c.fill(p, [servercolor, trafo.scale(1, 0.5).translated(0, -0.08 * r)])
return c
def ucirc():
x1, y1 = x-dx*r, y-r
st_scale = [trafo.scale(x=x1, y=y1, sx=1., sy=sy)]
c.fill(path.circle(x1, y1, 0.5*r0), st_scale+[shade0])
c.stroke(path.path(path.arc(x1, y1, 0.5*r0, 180., 0.)), st_scale)
x2, y2 = x1-0.5*dx*sy*r0, y1-0.5*sy*r0
c.stroke(path.line(x, y, x2, y2))
c.fill(path.circle(x2, y2, 0.05))
c.text(x2-0.5*r0, y2-0.5*r0, "${c}$", southeast)
def draw_pie(c, radius, start, end):
pie = path.path(path.moveto(0, 0), path.arc(0, 0, radius, start, end),
path.closepath())
hue = (start + end) / (360 * 2)
color = pyx.color.hsb(hue, 0.8, 0.8)
c.stroke(
pie,
[style.linewidth(0.01),
pyx.color.rgb(1, 1, 1),
deco.filled([color])])
def test_pie(radius, start, end):
c = canvas.canvas()
container = path.rect(-(radius + 1), -(radius + 1), 2 * (radius + 1),
2 * (radius + 1))
c.stroke(container, [style.linewidth(0.001), color.rgb.red])
pie = path.path(path.moveto(0, 0), path.arc(0, 0, radius, start, end),
path.closepath())
c.stroke(pie, [
style.linewidth(0.1),
pyx.color.rgb(1, 1, 1),
deco.filled([color.rgb.red])
])
c.writeSVGfile("figure")
def last_quarter_moon(r, cx, cy) :
p = path.path(path.moveto(cx, cy))
p.append(path.arc(cx, cy, r, 90, -90))
p.append(path.closepath())
return p
c.stroke(path.line(x, y+0.7*h, x+w, y+0.7*h), st_tau)
#c.stroke(path.line(x+0.3*w, y+0.05*h, x+0.4*w, y+0.35*h), st_vac)
c.stroke(path.line(x+0.5*w, y+0.3*h, x+0.5*w, y+0.7*h), st_vac)
x += 1.1*w
c.text(x, y+0.5*h, r"$= \phi^{-1}$", west)
x += 0.7*w
frame()
#c.stroke(path.line(x, y+0.2*h, x+0.3*w, y+0.5*h), st_tau)
#c.stroke(path.line(x, y+0.8*h, x+0.3*w, y+0.5*h), st_tau)
#c.stroke(path.line(x+w, y+0.2*h, x+0.7*w, y+0.5*h), st_tau)
#c.stroke(path.line(x+w, y+0.8*h, x+0.7*w, y+0.5*h), st_tau)
#c.stroke(path.circle(x+0.0*w, y+0.5*h, 0.3*w), st_tau)
c.stroke(path.path(path.arc(x+0.0*w, y+0.5*h, 0.2*w, -90, 90)), st_tau)
c.stroke(path.path(path.arc(x+1.0*w, y+0.5*h, 0.2*w, 90, -90)), st_tau)
c.stroke(path.line(x+0.2*w, y+0.5*h, x+0.8*w, y+0.5*h), st_vac)
x += 1.1*w
c.text(x, y+0.5*h, r"$+ \phi^{-\frac{1}{2}}$", west)
x += 0.7*w
frame()
#c.stroke(path.line(x, y+0.2*h, x+0.3*w, y+0.5*h), st_tau)
#c.stroke(path.line(x, y+0.8*h, x+0.3*w, y+0.5*h), st_tau)
#c.stroke(path.line(x+w, y+0.2*h, x+0.7*w, y+0.5*h), st_tau)
#c.stroke(path.line(x+w, y+0.8*h, x+0.7*w, y+0.5*h), st_tau)
#c.stroke(path.line(x+0.3*w, y+0.5*h, x+0.7*w, y+0.5*h), st_tau)
from math import atan, degrees
from pyx import canvas, color, path, style, text, unit
unit.set(xscale=0.8)
c = canvas.canvas()
c.fill(path.circle(0, 0, 0.1), [color.grey(0.5)])
c.fill(path.circle(2, 1, 0.1), [color.grey(0.5)])
c.stroke(path.line(0, 0, -1., -0.2),
[style.linewidth.Thick, style.linestyle.dotted])
c.stroke(path.line(2, 1, 2.7, 1.7),
[style.linewidth.Thick, style.linestyle.dotted])
c.stroke(path.line(0, 0, 2, 1), [style.linewidth.thick])
c.stroke(path.path(path.moveto(0, 0), path.lineto(2, 0), path.lineto(2, 1)))
c.text(0.5, 0.1, r'$\varphi$')
c.stroke(path.path(path.arc(0, 0, 0.8, 0, degrees(atan(0.5)))))
c.text(1, 0.6, r'$\ell=1$', [text.halign.right])
c.text(1, -0.1, r'$\cos(\varphi)$', [text.halign.center, text.valign.top])
c.text(2.1, 0.5, r'$\sin(\varphi)$', [text.valign.middle])
c.writeGSfile(device='pnggray', resolution=200)
r = 1.4
ccw = False # counter clockwise
surface(x+0, y, r, mark=True, orient=ccw)
surface(x-0.6*r, y, 0.2*r, fill=white, mark=True, orient=not ccw)
surface(x+0.6*r, y, 0.2*r, fill=white, mark=True, orient=not ccw)
#c.text(x-0.6*r, y+0.3*r, "$a_1$", south)
c.text(x, y, "...", center)
#c.text(x+0.6*r, y+0.3*r, "$a_n$", south)
#c.text(x+0.9*r, y-0.7*r, "$b$", north)
if ccw:
c.stroke(path.path(path.arc(x+0.2*r, y-0.5*r, 0.15*r, 20, 330)), [deco.earrow()])
else:
c.stroke(path.path(path.arc(x+0.2*r, y-0.5*r, 0.15*r, 20, 330)),
[deco.earrow(), trafo.scale(x=x+0.2*r, y=y-0.5*r, sx=-1,sy=1)])
c.writePDFfile("pic-disc.pdf")
#############################################################################
#
#
w = 1.5
h = 1.5
x = 0
from pyx import canvas, color, path, text, unit
text.set(text.LatexRunner)
text.preamble(r'\usepackage[sfdefault,scaled=.85,lining]{FiraSans}\usepackage{newtxsf}')
text.preamble(r'\usepackage{nicefrac}')
unit.set(xscale=1.6, wscale=1.2)
c = canvas.canvas()
side = 4
lightcolor = color.hsb(0.65, 0.2, 1)
darkcolor = color.hsb(0.65, 1, 1)
c.fill(path.path(path.moveto(0, 0),
path.lineto(side, 0),
path.arc(0, 0, side, 0, 90),
path.closepath()), [lightcolor])
c.stroke(path.path(path.arc(0, 0, side, 0, 90)), [darkcolor])
c.stroke(path.rect(0, 0, side, side))
ticklen = 0.15
for tick in (0, 1):
dist = tick*side
c.stroke(path.line(dist, 0, dist, -ticklen))
c.text(dist, -1.5*ticklen, str(tick), [text.halign.center, text.valign.top])
c.stroke(path.line(0, dist, -ticklen, dist))
c.text(-1.5*ticklen, dist, str(tick), [text.halign.right, text.valign.middle])
c.text(0.4*side, 0.4*side, r'\huge$\nicefrac{\pi}{4}$',
[text.halign.center, text.valign.middle, darkcolor])
c.writePDFfile()
ks = []
for k in d.keys():
if len(d[k]) > 1:
#print k, d[k]
ks.append(k)
ks.sort()
#for k in ks:
# print k, d[k]
c = canvas.canvas()
m = 0.1
c.stroke(path.line(-m, 0., +m, 0.))
c.stroke(path.line(0., -m, 0., +m))
for k in ks:
r = k**0.5
#c.stroke(path.circle(0., 0., r))
c.stroke(path.path(path.arc(0., 0., r, 45., 90)), [grey])
for k in ks:
r = 0.1 * len(d[k]) - 0.1
for x, y in d[k]:
c.fill(path.circle(x, y, r), [green])
c.writePDFfile("pic-rational.pdf")
from pyx import canvas, color, path, text, unit
text.set(text.LatexRunner)
text.preamble(
r'\usepackage{arev}\usepackage[T1]{fontenc}\usepackage{nicefrac}')
unit.set(xscale=1.2, wscale=1.2)
c = canvas.canvas()
side = 4
lightcolor = color.hsb(0.65, 0.2, 1)
darkcolor = color.hsb(0.65, 1, 1)
c.fill(
path.path(path.moveto(0, 0), path.lineto(side, 0),
path.arc(0, 0, side, 0, 90), path.closepath()), [lightcolor])
c.stroke(path.path(path.arc(0, 0, side, 0, 90)), [darkcolor])
c.stroke(path.rect(0, 0, side, side))
ticklen = 0.15
for tick in (0, 1):
dist = tick * side
c.stroke(path.line(dist, 0, dist, -ticklen))
c.text(dist, -1.5 * ticklen, str(tick),
[text.halign.center, text.valign.top])
c.stroke(path.line(0, dist, -ticklen, dist))
c.text(-1.5 * ticklen, dist, str(tick),
[text.halign.right, text.valign.middle])
c.text(0.4 * side, 0.4 * side, r'\huge$\nicefrac{\pi}{4}$',
[text.halign.center, text.valign.middle, darkcolor])
c.writePDFfile()
c.fill(path.rect(0, 0, width, height), [color.rgb(0.92, 1, 0.92)])
c.fill(path.rect(0, 0, -boxwidth, height), [boxcolor])
c.stroke(path.line(0, 0, 0, height), [style.linewidth.thick])
c.text(0, labelypos, '$0$', [text.halign.center])
c.fill(path.rect(width, 0, boxwidth, height), [boxcolor])
c.stroke(path.line(width, 0, width, height), [style.linewidth.thick])
c.text(width, labelypos, '$L$', [text.halign.center])
for q, label in ((qi, r'$q_\text{i}$'),
(qf, r'$q_\text{f}$')):
c.stroke(path.line(q, 0, q, height), [style.linestyle.dashed])
c.text(q, labelypos, label, [text.halign.center])
pathsegments = [path.path(path.moveto(qi, 0),
path.lineto(qf, 0)),
path.path(path.moveto(qf, 0),
path.lineto(width-radius, 0),
path.arc(width-radius, radius, radius, -90, 90),
path.lineto(qf, 2*radius)),
path.path(path.moveto(qf, 0),
path.lineto(qi, 0)),
path.path(path.moveto(qi, 0),
path.lineto(radius, 0),
path.arcn(radius, radius, radius, 270, 90),
path.lineto(qi, 2*radius))]
anzahl_segmente = (1, 2, 2, 3)
ypos = 0.5*dy
for n in range(1, ntraj+1):
offset = 0
if n % 2 == 0:
offset = -1
nsegmente = anzahl_segmente[(n-1) % 4] + (n-1)//4*4
for nsegment in range(1, nsegmente+1):
t = Turtle(x1, y1-r1, -pi/2).right(pi, r1).fwd(s).right(pi, r1).fwd(s)
t.stroke(extra)
t.stroke(extra+[deco.earrow()])
c = canvas.canvas()
R = 1.7*r
for i in range(3):
theta = 2*i*pi/3
x, y = R*sin(theta), R*cos(theta)
tetra(x, y, [1, 0, 2][i], reflect=(i in [0,1]))
w = 30 + 120*i
c.stroke(path.path(path.arc(0., 0., 1.1*R, w-20, w+20)), [deco.earrow()])
c.stroke(path.path(path.arcn(0., 0., 1.1*R, w+20, w-20)), [deco.earrow()])
theta = 2*(i+0.5)*pi/3
x, y = 1.3*R*sin(theta), 1.3*R*cos(theta)
c.text(x, y, "$F$", center)
c.writePDFfile("pic-fmove-relation.pdf")
c = canvas.canvas()
R = 1.7*r
for i in range(3):
theta = 2*i*pi/3
x, y = R*sin(theta), R*cos(theta)
def place(self, x, y):
return (path.path(path.arc(x + self.r, y, self.r, 0, 180),
path.lineto(x + 2 * self.r,
y)), self.color, self.stroke_color)
axislen = 3
text.set(engine=text.LatexEngine)
text.preamble(r'''\usepackage[sfdefault,scaled=.85]{FiraSans}
\usepackage{newtxsf}
\usepackage{nicefrac}''')
unit.set(vscale=1.2, wscale=1.3, xscale=1.3)
c = canvas.canvas()
c.stroke(path.line(-0.2*axislen, 0, axislen, 0), [deco.earrow])
c.text(axislen+0.1, 0, 'Re($x$)', [text.valign.middle])
c.stroke(path.line(0, -0.2*axislen, 0, axislen), [deco.earrow])
c.text(0.2, axislen, 'Im($x$)', [text.valign.top])
r = 0.85*axislen
p = path.path(path.moveto(0, 0),
path.lineto(r, 0),
path.arc(0, 0, r, 0, 45),
path.lineto(0, 0),
path.closepath())
pathcolor = color.rgb(0.2, 0, 0.8)
c.stroke(p, [style.linewidth.thick, style.linejoin.round, pathcolor])
c.stroke(path.line(0, 0, 0.53*axislen, 0), [deco.earrow, pathcolor])
c.stroke(path.path(path.arc(0, 0, r, 0, 23)), [deco.earrow, pathcolor])
c.stroke(path.path(path.moveto(r/sqrt(2), r/sqrt(2)),
path.lineto(0.48*r/sqrt(2), 0.48*r/sqrt(2))),
[deco.earrow, pathcolor])
c.text(0.33, 0.11, r'\footnotesize$\nicefrac{\pi}{4}$', [pathcolor])
c.stroke(path.path(path.arc(0, 0, 0.82, 0, 45)),
[style.linewidth.thin, pathcolor])
c.writePDFfile()
c = canvas.canvas()
x = 0.
y = 0.
m = 0.1*w
m0 = m/2
r = 0.3*w
c.fill(path.rect(x-m0, y-m0, 2*m0+w, 2*m0+h), [shade])
c.stroke(path.rect(x, y, w, h))
p = path.path(
path.moveto(x+r, y-m),
path.lineto(x+r, y),
path.arc(x, y, r, 0, 90),
path.lineto(x-m, y+r),
)
c.stroke(p, g_curve+[trafo.scale(1.0, 1.3, x=x, y=y-m)])
c.stroke(path.line(x+0.5*w, y-m, x+0.5*w, y+h+m), g_curve)
r = 0.2*w
p = path.path(
path.moveto(x+w+m, y+0.5*h+r),
path.lineto(x+w, y+0.5*h+r),
path.arc(x+w, y+0.5*h, r, 90, 270),
path.lineto(x+w+m, y+0.5*h-r),
)
c.stroke(p, g_curve+[trafo.scale(1.4, 1.0, x=x+1.*w+m, y=y+0.5*h)])
