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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)
.PE
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