1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
|
%D \module
%D [ file=meta-imp-kaktovik,
%D version=2023.04.18,
%D title=\METAPOST\ Graphics,
%D subtitle=Kaktovik Numbers,
%D author=Hans Hagen,
%D date=\currentdate,
%D copyright={PRAGMA ADE \& \CONTEXT\ Development Team}]
%C
%C This module is part of the \CONTEXT\ macro||package and is
%C therefore copyrighted by \PRAGMA. See mreadme.pdf for
%C details.
%D Just a quick hack for Hraban (after a post on the mailing list).
\startMPcalculation{simplefun}
path kaktovik_glyphs[] ;
def InitializeKaktovik =
save p, d, u ;
pair p[] ; numeric d ; d := .1 ; numeric u ; u := .15 ;
% d := getparameterdefault "mpsfont" "d" .10 ;
% u := getparameterdefault "mpsfont" "u" .15 ;
p[0] := (0,1) ;
p[1] := (1,0) ;
p[2] := (2,1 - d) ;
p[3] := (3,0) ;
p[4] := (4,1 - 2d) ;
p[5] := (4,1 + u) ;
p[6] := (0,1 + 2u) ;
p[7] := (4,1 + 4u) ;
kaktovik_glyphs[0] := (1,1) { right } .. { left } (2,1/2) { left } .. { right } (3,1);
for i= 1 upto 4 :
kaktovik_glyphs[i] := p[0] for j=1 upto i : -- p[j] endfor ;
endfor ;
kaktovik_glyphs[ 5] := p[5] -- p[0] ; for i= 6 upto 9 : kaktovik_glyphs[i] := p[5] -- kaktovik_glyphs[i-5] ; endfor ;
kaktovik_glyphs[10] := p[6] -- kaktovik_glyphs[ 5] ; for i=11 upto 14 : kaktovik_glyphs[i] := p[6] -- kaktovik_glyphs[i-5] ; endfor ;
kaktovik_glyphs[15] := p[7] -- kaktovik_glyphs[10] ; for i=16 upto 19 : kaktovik_glyphs[i] := p[7] -- kaktovik_glyphs[i-5] ; endfor ;
enddef ;
vardef Kaktovik(expr i) =
draw image (
draw kaktovik_glyphs[i]
xscaled (10/20 -1/20)
yscaled (25/20 -2/20)
withpen (pencircle xscaled 1/20 yscaled 5/20) rotated -(2*20)
% withpen (pencircle xscaled 1/40 yscaled 5/40) rotated -(2*20)
% withpen (pencircle xscaled 2.5/40 yscaled 5/40) rotated -(2*20)
;
) shifted (2/20,2/20)
enddef ;
lmt_registerglyphs [
name = "kaktovik",
units = 2,
usecolor = true,
width = 2,
height = 2,
depth = 0,
preamble = "InitializeKaktovik"
] ;
for i=0 upto 19 :
lmt_registerglyph [
category = "kaktovik",
unicode = 119488 + i, % "0x1D2C0"
code = "Kaktovik(" & decimal i & ")"
] ;
endfor ;
\stopMPcalculation
\startluacode
local kaktovik = moduledata.kaktovik or { }
moduledata.kaktovik = kaktovik
local tonumber = tonumber
local load = load
local reverse = table.reverse
local utfchar = utf.char
local gsub = string.gsub
local concat = table.concat
local utfvalues = string.utfvalues
local lpegmatch = lpeg.match
function kaktovik.tointeger(s)
local n = 0
for b in utfvalues(s) do
local k = b - 0x1D2C0
n = n * 20 + k
end
return n
end
-- function kaktovik.tostring(n)
-- local digits = { }
-- local count = 1
-- while true do
-- digits[count] = utfchar(0x1D2C0 + (n % 20))
-- n = n // 20
-- if n == 0 then
-- break;
-- end
-- count = count + 1
-- end
-- return concat(reverse(digits))
-- end
local f = string.formatters["%N"]
function kaktovik.tostring(n)
if n >= 0 and n <= 19 then
return utfchar(0x1D2C0 + n)
else
-- no need to optimize
local result = gsub(f(n),"(%d+)",function(s)
local digits = { }
local count = 1
local n = tonumber(s)
while true do
digits[count] = utfchar(0x1D2C0 + (n % 20))
n = n // 20
if n == 0 then
break;
end
count = count + 1
end
return concat(reverse(digits))
end)
return result
end
end
do
local k = { }
local n = 0
for i=0x1D2C0,0x1D2C0+19 do
k[utf.char(i)] = n
n = n + 1
end
local p = lpeg.Cs (
lpeg.Cc("return ")
* (
lpeg.utfchartabletopattern(k) / k
+ lpeg.P(1)
)^0
)
local t = setmetatable({ },{ __index = math })
function kaktovik.calculate(old)
local new = lpegmatch(p,old)
if new then
new = load(new,nil,nil,t)
if type(new) == "function" then
new = new()
if new then
return new
end
end
end
return old
end
end
interfaces.implement {
name = "kaktoviknumerals",
arguments = "integer",
actions = { kaktovik.tostring, context }
}
interfaces.implement {
name = "kaktovikcalculate",
public = true,
arguments = "string",
actions = { kaktovik.calculate, kaktovik.tostring, context }
}
\stopluacode
\unprotect
\permanent\def\kaktoviknumerals#1{\clf_kaktoviknumerals\numexpr#1\relax}
\defineconversion [kaktoviknumerals] [\kaktoviknumerals]
\defineconversion [K] [\kaktoviknumerals]
\definefontfeature
[kaktovik]
[metapost=kaktovik]
\protect
\continueifinputfile{meta-imp-kaktovik.mkxl}
\definefontfeature
[default]
[default]
[metapost=kaktovik]
% [metapost={category=kaktovik,u=.25,d=.20,x=}]
\setupbodyfont[dejavu]
% \nopdfcompression
\startTEXpage[offset=1ts,width=3es]
\start
\showglyphs
KAKTOVIK
\dostepwiserecurse{0}{19}{1}{\kaktoviknumerals{#1}\space }
\stop
kaktovik \start
\red\glyphxscale 700
\dostepwiserecurse{0}{19}{1}{\kaktoviknumerals{#1}\space }
\stop
\startitemize[packed,K][color=orange,stopper=]
\startitem first \stopitem
\startitem second \stopitem
\startitem third \stopitem
\stopitemize
KAKTOVIK \start
\red \kaktoviknumerals{2023} --
\green\kaktoviknumerals{4} --
\blue \kaktoviknumerals{18}
\stop
KAKTOVIK
𝋂 + 𝋂 = \kaktovikcalculate{𝋂 + 𝋂} = \kaktoviknumerals{4}
\protected\def\ForWilli#1{#1 = \kaktovikcalculate{#1}}
\ForWilli{(𝋂 + 𝋂) ^ (𝋂 + 𝋂)}
\ForWilli{(sin ( 𝋂𝋓 ) )}
\stopTEXpage
|
