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.PS
# AntiqueClock.m4
gen_init
NeedDpicTools
# https://tex.stackexchange.com/questions/236923/generate-analog-clock-with-numbered-face-add-seconds-roman-numerals
# `hms2deg(hr,min,sec) hr:min:sec to degrees
# blank arg1: degrees for minute hand
# blank arg1 and arg2: degrees for second hand'
define(`hms2deg',`ifelse(`$1',,
`ifelse(`$2',,
`(90-pmod(ifelse(`$3',,0,`$3'),60)/60*360)',
`(90-(pmod(`$2',60)/60 + pmod(ifelse(`$3',,0,`$3'),60)/60/60)*360)')',
`(90-(pmod(`$1',12) + pmod(ifelse(`$2',,0,`$2'),60)/60 + dnl
pmod(ifelse(`$3',,0,`$3'),60)/3600)/12*360)')')
# `SecondHand(length,hr,min,sec)'
define(`SecondHand',`[ shsf = (`$1')/3.2
C: Here
{ L: rpoint_(to (Rect_(`$1',hms2deg(,,`$4')))) }
line thick 8*shsf to rvec_(`$1',0)
]')
# `AntiqueMinuteHand(length,hr,min,sec)'
define(`AntiqueMinuteHand',`[ mhsf = (`$1')/2.84
L: rpoint_(to (Rect_(`$1',hms2deg(,`$3',`$4'))))
C: circle fill_(0) diam 0.47*mhsf at L.start
move to C
spline from rvec_(0,0.047*mhsf) \
to rvec_(1.65*mhsf,0.11*mhsf) \
then to rvec_(`$1',0.018*mhsf) \
then to rvec_(`$1',-0.018*mhsf) \
then to rvec_(1.65*mhsf,-0.11*mhsf) \
then to rvec_(0,-0.047*mhsf) \
shaded rgbstring(0,0,0)
]')
# `AntiqueHourHand(length,hr,min,sec)'
define(`AntiqueHourHand',`[ hhsf = (`$1')/2.2
L: rpoint_(to (Rect_(`$1',hms2deg(`$2',`$3',`$4'))))
C: circle fill_(0) diam 0.6*hhsf at L.start
move to C
v = 0.25*hhsf
{ line to rvec_(1.1*hhsf,0) thick 0.15/(1bp__)*hhsf }
{ C1: circle rad v at rvec_(1.25*hhsf,0) fill_(0) }
d = `$1'-1.25*hhsf
q = 1bp__*hhsf
r1 = (d^2 + q^2 - v^2)/(v-q)/2
h = r1+v
shade(0,
arc ccw from C1+vec_(d/h*v,(r1+q)/h*v) to \
C1+vec_(d,q) rad r1 with .c at C1+vec_(d,r1+q)
arc ccw from C1+vec_(d,-q) to C1+vec_(d/h*v,-(r1+q)/h*v) rad r1 \
with .c at C1+vec_(d,-r1-q))
]')
define(`AntiqueClock',`[ # h,m,s,diam
# Clock size parameters
# outer radius
hour = ifelse(`$1',,3,`$1')
minute = ifelse(`$2',,41,`$2')
second = ifelse(`$3',,51,`$3')
ifelse(`$4',,`skale=0.5; r1=2',`r1=(`$4')/2; skale=r1/4')
r2 = r1-0.5*skale
r3 = r2-0.14*skale
r4 = r3 - 0.35*skale
r5 = r4 - 0.17*skale
r6 = r5 - 0.63*skale
r7 = r6 - 0.17*skale
shadethick = 1.0
C: circle thick 0.2 rad r1
define shadeline {
s = 1-($`'1)*2
v = r*s
h = sqrt(r^2-v^2)
t = 1-abs(s)
line from (vrot_(-h,v,cost,sint)) to (vrot_(h,v,cost,sint)) \
thick shadethick outlined rgbstring(t,t,t)
}
r = r1 # Bezel outer
nlines = int(2*r/(shadethick pt__)*1.1)
cost = cosd(10); sint = sind(10);
ShadeObject(shadeline,nlines, 0, 0,0,0,
0.5, 1,1,1,
1, 0,0,0 ) at C
r = r2 # Bezel inner
nlines = int(2*r/(shadethick pt__)*1.1)
cost = cosd(-10); sint = sind(-10);
ShadeObject(shadeline,nlines, 0, 0,0,0,
0.25, 0.8,0.8,0.8,
0.5, 1,1,1,
0.75, 0.8,0.8,0.8,
1, 0,0,0 ) at C
# Clock face
Face: circle thick 0 fill_(1) rad r3 at C
circle rad r4 at C
circle rad r5 at C
circle rad r6 at C
circle rad r7 at C
define rotext {
sprintf("`$'1 ifpstricks(\rput[C]{%g}(0,0){%g},
ifpgf(\rotatebox{%g}{%g}))",`$'2,`$'3) }
# Outer numbers
command sprintf("\font\outerfont=cmss12 at %4.2fin",r3-r4)
for mn = -15 to 15 by 5 do { rotext(\outerfont,-mn/60*360,pmod(mn,60)) \
at C+(Rect_((r3+r4)/2,90-mn/60*360)) }
for mn = 20 to 40 by 5 do { rotext(\outerfont,180-mn/60*360,mn) \
at C+(Rect_((r3+r4)/2,90-mn/60*360)) }
# Outer tics
for mn = 1 to 60 do { t = 90-mn/60*360
line from C+(Rect_(r5,t)) to C+(Rect_(r4,t)) }
# Inner numbers
command sprintf("\font\innerfont=cmss12 at %4.2fin",r5-r6)
Loopover_(`mx',`t = (m4Lx-4)/12*360;
sprintf("\innerfont`'ifpstricks(`\rput[C]{%g}(0,0)',
`\rotatebox{%g}'){\scalebox{0.7}[1.0]{mx}}",-t) \
at C+(Rect_((r5+r6)/2,90-t))', IX,X,XI,XII,I,II,III)
Loopover_(`mx',`t = (m4Lx+3)/12*360;
sprintf("\innerfont`'ifpstricks(`\rput[C]{%g}(0,0)',
`\rotatebox{%g}'){\scalebox{.7}[1.0]{mx}}",-t+180) \
at C+(Rect_((r5+r6)/2,90-t))', IV,V,VI,VII,VIII)
# Inner tics
for mn = 5 to 60 by 5 do { t = 90-mn/60*360
line from C+(Rect_(r7,t)) to C+(Rect_(r6,t)) }
# Hands
AntiqueHourHand(r6,hour,minute,second) with .C at C
AntiqueMinuteHand(r5,hour,minute,second) with .C at C
SecondHand((r3+r4)/2,hour,minute,second) with .C at C
# Center
dot(at C,0.1/4*r1,1)
]')
Clock1: AntiqueClock
# Clock2: AntiqueClock(4,50,07,2) at Clock1.e+(1.5,0)
Clock2: AntiqueClock(4,50,07,2) with .nw at Clock1.ne+(0.5,0)
Clock3: [
linethick = 1.5
arrowwid = 5 pt__
rgbfill(255/255,250/255,205/255,
Clock: circle rad 0.75 at (0,0) )
command "\newcounter{hour}"
for time=1 to 12 do {
sprintf("\setcounter{hour}{%g}\Roman{hour}",time) \
at Rect_(Clock.rad*0.85,90-time*30)
}
line <-> from Rect_(Clock.rad*0.95,90-8.5*30) to Clock \
then to Rect_(Clock.rad*0.7,90-3.5*30)
line thick 1 outline "red" from Clock to Rect_(Clock.rad*0.95,90-0.75*30)
] with .s at (Clock2,Clock1.s)
define(`htod',`(90-(`$1')/12*360)')
# clock1(h:m[:s],diam,color)
define(`ClockA',`[
clockdiam = ifelse(`$2',,`40 mm__',`$2')
clockrad = clockdiam/2
stacksplit_(`HMS',ifelse(`$1',,10:10,`$1'),:)
s = HMS; popdef(`HMS')
m = HMS; popdef(`HMS')
ifdef(`HMS',`h = HMS',`h = m; m = s')
C: circle rad clockrad thick 2 shaded ifelse(`$3',,"cyan",`$3') at (0,0)
for t = 1 to 12 do {
if pmod(t,3)==0 then { ticlen = clockrad/5; ticthk = 2 } \
else { ticlen = clockrad/10; ticthk = 1 }
line thick ticthk from Rect_(clockrad,htod(t)) \
to Rect_(clockrad-ticlen,htod(t))
sprintf("\large\sf %g",t) at Rect_(clockrad*3.5/5,htod(t))
}
line thick 3 from C to Rect_(clockrad*2/5,htod(h+m/60))
line thick 3 from C to Rect_(clockrad*3/5,htod(m/60*12))
round(at C, 3)
ifdef(`HMS',`line thick 0.7 outlined "red" from C \
to Rect_(clockrad*3.5/5,htod(s/60*12)) chop -5bp__ chop 0')
popdef(`HMS') ]')
[
CA: ClockA(11:10:35,,"blue!20")
ClockA(10:10,,"blue!20!black!30")
ClockA(10:10:23,,"blue!20!black!30!green!40")
ClockA(10:10,,rgbstring(0.2,0.2,0.7))
# calls DrawRoutineName(frac,r,g,b)
# clock2(h:m[:s],diam,color,rim thickness)
define(`ClockB',`[
clockdiam = ifelse(`$2',,`60 mm__',`$2')
clockrad = clockdiam/2
stacksplit_(`HMS',ifelse(`$1',,10:10,`$1'),:)
s = HMS; popdef(`HMS')
m = HMS; popdef(`HMS')
ifdef(`HMS',`h = HMS',`h = m; m = s')
rimwd = ifelse(`$4',,9 pt__,`$4')
rimwid = rimwd/(1 pt__)
n = 4
C: (0,0)
ClockA(`$1',clockdiam-rimwd*2,"green!20") at C
Q:circle diam clockdiam-rimwd thick rimwid \
outlined rgbstring(0.7,0.7,0.7) at C
Nx: Q.n+(0,Q.thick pt__/2)
define rimcirc {
#print sprintf("%g: %g,%g,%g",$`'1,$`'2,$`'3,$`'4)
circle diam clockdiam-rimwd thick rimwid/(n+1) \
outlined rgbstring($`'2,$`'3,$`'4) with .n at Nx-(0,rimwd/(n+1)/2)
Nx : last circle.n+(0,last circle.thick pt__/2) }
v = 0.1
ShadeObject(rimcirc, n,
0,v,v,v,
1/(n-1),v,v,v,
1,1,1,1) at C
popdef(`HMS') ]')
# ClockA(10:10:35,,"green!20")
w = last [].wid
ClockB(10:10:35,w,) with .nw at CA.sw+(10bp__,-0.2)
] with .nw at 1st [].sw+(0,-0.2)
.PE
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