From eb8e992adf0a78d204cb15a10704969b526c3946 Mon Sep 17 00:00:00 2001
From: Fenris Wolf <fenris@folksprak.org>
Date: Wed, 17 Dec 2025 06:31:57 +0100
Subject: [PATCH] [ini]

---
 .gitignore              |   1 +
 data/addition.json      |  39 +++
 data/multipliktion.json |  48 +++
 misc/uebersicht.ods     | Bin 0 -> 18912 bytes
 source/main.py          | 659 ++++++++++++++++++++++++++++++++++++++++
 tools/build             |  16 +
 6 files changed, 763 insertions(+)
 create mode 100644 .gitignore
 create mode 100644 data/addition.json
 create mode 100644 data/multipliktion.json
 create mode 100644 misc/uebersicht.ods
 create mode 100644 source/main.py
 create mode 100755 tools/build

diff --git a/.gitignore b/.gitignore
new file mode 100644
index 0000000..84c048a
--- /dev/null
+++ b/.gitignore
@@ -0,0 +1 @@
+/build/
diff --git a/data/addition.json b/data/addition.json
new file mode 100644
index 0000000..e7278c4
--- /dev/null
+++ b/data/addition.json
@@ -0,0 +1,39 @@
+[
+	{"links": ["   2", "+", "2   "], "rechts": ["4"]},
+	{"links": ["   2", "+", "3   "], "rechts": ["5"]},
+	{"links": ["   2", "+", "4   "], "rechts": ["6"]},
+	{"links": ["   2", "+", "5   "], "rechts": ["7"]},
+	{"links": ["   2", "+", "6   "], "rechts": ["8"]},
+	{"links": ["   2", "+", "7   "], "rechts": ["9"]},
+	{"links": ["   2", "+", "8   "], "rechts": ["10"]},
+	{"links": ["   2", "+", "9   "], "rechts": ["11"]},
+	{"links": ["   3", "+", "3   "], "rechts": ["6"]},
+	{"links": ["   3", "+", "4   "], "rechts": ["7"]},
+	{"links": ["   3", "+", "5   "], "rechts": ["8"]},
+	{"links": ["   3", "+", "6   "], "rechts": ["9"]},
+	{"links": ["   3", "+", "7   "], "rechts": ["10"]},
+	{"links": ["   3", "+", "8   "], "rechts": ["11"]},
+	{"links": ["   3", "+", "9   "], "rechts": ["12"]},
+	{"links": ["   4", "+", "4   "], "rechts": ["8"]},
+	{"links": ["   4", "+", "5   "], "rechts": ["9"]},
+	{"links": ["   4", "+", "6   "], "rechts": ["10"]},
+	{"links": ["   4", "+", "7   "], "rechts": ["11"]},
+	{"links": ["   4", "+", "8   "], "rechts": ["12"]},
+	{"links": ["   4", "+", "9   "], "rechts": ["13"]},
+	{"links": ["   5", "+", "5   "], "rechts": ["10"]},
+	{"links": ["   5", "+", "6   "], "rechts": ["11"]},
+	{"links": ["   5", "+", "7   "], "rechts": ["12"]},
+	{"links": ["   5", "+", "8   "], "rechts": ["13"]},
+	{"links": ["   5", "+", "9   "], "rechts": ["14"]},
+	{"links": ["   6", "+", "6   "], "rechts": ["12"]},
+	{"links": ["   6", "+", "7   "], "rechts": ["13"]},
+	{"links": ["   6", "+", "8   "], "rechts": ["14"]},
+	{"links": ["   6", "+", "9   "], "rechts": ["15"]},
+	{"links": ["   7", "+", "7   "], "rechts": ["14"]},
+	{"links": ["   7", "+", "8   "], "rechts": ["15"]},
+	{"links": ["   7", "+", "9   "], "rechts": ["16"]},
+	{"links": ["   8", "+", "8   "], "rechts": ["16"]},
+	{"links": ["   8", "+", "9   "], "rechts": ["17"]},
+	{"links": ["   9", "+", "9   "], "rechts": ["18"]}
+]
+
diff --git a/data/multipliktion.json b/data/multipliktion.json
new file mode 100644
index 0000000..5a3a5c7
--- /dev/null
+++ b/data/multipliktion.json
@@ -0,0 +1,48 @@
+[
+	{"links": ["   2", "·", "2   "], "rechts": ["4"]},
+	{"links": ["   2", "·", "3   "], "rechts": ["6"]},
+	{"links": ["   2", "·", "4   "], "rechts": ["8"]},
+	{"links": ["   2", "·", "5   "], "rechts": ["10"]},
+	{"links": ["   2", "·", "6   "], "rechts": ["12"]},
+	{"links": ["   2", "·", "7   "], "rechts": ["14"]},
+	{"links": ["   2", "·", "8   "], "rechts": ["16"]},
+	{"links": ["   2", "·", "9   "], "rechts": ["18"]},
+	{"links": ["   2", "·", "10  "], "rechts": ["20"]},
+	{"links": ["   3", "·", "3   "], "rechts": ["9"]},
+	{"links": ["   3", "·", "4   "], "rechts": ["12"]},
+	{"links": ["   3", "·", "5   "], "rechts": ["15"]},
+	{"links": ["   3", "·", "6   "], "rechts": ["18"]},
+	{"links": ["   3", "·", "7   "], "rechts": ["21"]},
+	{"links": ["   3", "·", "8   "], "rechts": ["24"]},
+	{"links": ["   3", "·", "9   "], "rechts": ["27"]},
+	{"links": ["   3", "·", "10  "], "rechts": ["30"]},
+	{"links": ["   4", "·", "4   "], "rechts": ["16"]},
+	{"links": ["   4", "·", "5   "], "rechts": ["20"]},
+	{"links": ["   4", "·", "6   "], "rechts": ["24"]},
+	{"links": ["   4", "·", "7   "], "rechts": ["28"]},
+	{"links": ["   4", "·", "8   "], "rechts": ["32"]},
+	{"links": ["   4", "·", "9   "], "rechts": ["36"]},
+	{"links": ["   4", "·", "10  "], "rechts": ["40"]},
+	{"links": ["   5", "·", "5   "], "rechts": ["25"]},
+	{"links": ["   5", "·", "6   "], "rechts": ["30"]},
+	{"links": ["   5", "·", "7   "], "rechts": ["35"]},
+	{"links": ["   5", "·", "8   "], "rechts": ["40"]},
+	{"links": ["   5", "·", "9   "], "rechts": ["45"]},
+	{"links": ["   5", "·", "10  "], "rechts": ["50"]},
+	{"links": ["   6", "·", "6   "], "rechts": ["36"]},
+	{"links": ["   6", "·", "7   "], "rechts": ["42"]},
+	{"links": ["   6", "·", "8   "], "rechts": ["48"]},
+	{"links": ["   6", "·", "9   "], "rechts": ["54"]},
+	{"links": ["   6", "·", "10  "], "rechts": ["60"]},
+	{"links": ["   7", "·", "7   "], "rechts": ["49"]},
+	{"links": ["   7", "·", "8   "], "rechts": ["56"]},
+	{"links": ["   7", "·", "9   "], "rechts": ["63"]},
+	{"links": ["   7", "·", "10  "], "rechts": ["70"]},
+	{"links": ["   8", "·", "8   "], "rechts": ["64"]},
+	{"links": ["   8", "·", "9   "], "rechts": ["72"]},
+	{"links": ["   8", "·", "10  "], "rechts": ["80"]},
+	{"links": ["   9", "·", "9   "], "rechts": ["81"]},
+	{"links": ["   9", "·", "10  "], "rechts": ["90"]},
+	{"links": ["  10", "·", "10  "], "rechts": ["100"]}
+]
+
diff --git a/misc/uebersicht.ods b/misc/uebersicht.ods
new file mode 100644
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HcmV?d00001

diff --git a/source/main.py b/source/main.py
new file mode 100644
index 0000000..8e6d8db
--- /dev/null
+++ b/source/main.py
@@ -0,0 +1,659 @@
+import sys as _sys
+import os as _os
+import argparse as _argparse
+import json as _json
+import functools as _functools
+import math as _math
+
+
+def convey(
+	x,
+	fs
+):
+	y = x
+	for f in fs:
+		y = f(y)
+	return y
+	
+
+def string_coin(
+	template,
+	arguments
+):
+	result = template
+	for (key, value, ) in arguments.items():
+		result = result.replace("{{%s}}" % key, value)
+	return result
+	
+
+def string_count_begin(
+	string,
+	character
+):
+	result = 0
+	while (string[result] == character):
+		result += 1
+	return result
+
+
+def string_count_end(
+	string,
+	character
+):
+	result = 0
+	while (string[-1-result] == character):
+		result += 1
+	return result
+
+
+def file_text_read(
+	path
+):
+	handle = open(path, "r")
+	content = handle.read()
+	handle.close()
+	return content
+	
+
+def file_text_write(
+	path,
+	content
+):
+	_os.makedirs(
+		_os.path.dirname(path),
+		exist_ok = True
+	)
+	handle = open(path, "w")
+	handle.write(content)
+	handle.close()
+	
+
+def xml_node_regular(
+	tag,
+	attributes,
+	content
+):
+	return string_coin(
+		(
+			"<{{tag}}{{attributes}}/>\n"
+			if
+			(content is None)
+			else
+			"<{{tag}}{{attributes}}>\n{{content}}</{{tag}}>\n"
+		),
+		{
+			"tag": tag,
+			"attributes": convey(
+				(attributes or {}).items(),
+				[
+					lambda x: filter(
+						lambda pair: (
+							not (pair[1] is None)
+						),
+						x
+					),
+					lambda x: map(
+						lambda pair: string_coin(
+							" {{key}}=\"{{value}}\"",
+							{
+								"key": pair[0],
+								"value": pair[1],
+							}
+						),
+						x
+					),
+					"".join,
+				]
+			),
+			"content": (content or ""),
+		}
+	)
+	
+
+def css_color_hsl(
+	hue,
+	options = None
+):
+	options = (
+		{
+			"hue": 0.5,
+			"lightness": 0.5,
+		}
+		|
+		(options or {})
+	)
+	return string_coin(
+		"hsl({{hue}}, {{saturation}}%, {{lightness}}%)",
+		{
+			"hue": ("%.4f" % (hue * 360)),
+			"saturation": ("%.4f" % (options["saturation"] * 100)),
+			"lightness": ("%.4f" % (options["lightness"] * 100)),
+		}
+	)
+	
+
+def css_commands(
+	actions
+):
+	return " ".join(
+		map(
+			lambda pair: string_coin(
+				"{{key}}: {{value}};",
+				{
+					"key": pair[0],
+					"value": pair[1],
+				}
+			),
+			actions.items()
+		)
+	)
+	
+
+def svg_measurement(
+	unit,
+	value
+):
+	return string_coin(
+		"{{value}}{{unit}}",
+		{
+			"value": ("%.4f" % value),
+			"unit": (unit or ""),
+		}
+	)
+	
+
+def svg_group(
+	children,
+	options = None
+):
+	options = (
+		{
+			"transform": None,
+			"style": None,
+		}
+		|
+		(options or {})
+	)
+	return xml_node_regular(
+		"g",
+		{
+			"transform": options["transform"],
+			"style": options["style"],
+		},
+		"".join(children)
+	)
+	
+
+def svg_rect(
+	from_x,
+	from_y,
+	to_x,
+	to_y,
+	options = None
+):
+	options = (
+		{
+			"style": None,
+			"unit": None,
+		}
+		|
+		(options or {})
+	)
+	return xml_node_regular(
+		"rect",
+		{
+			"x": svg_measurement(options["unit"], from_x),
+			"y": svg_measurement(options["unit"], from_y),
+			"width": svg_measurement(options["unit"], to_x - from_x),
+			"height": svg_measurement(options["unit"], to_y - from_y),
+			"style": options["style"],
+		},
+		None
+	)
+	
+
+def svg_text(
+	children,
+	options = None
+):
+	options = (
+		{
+			"unit": None,
+			"style": None,
+			"transform": None,
+		}
+		|
+		(options or {})
+	)
+	return xml_node_regular(
+		"text",
+		{
+			"x": svg_measurement(options["unit"], 0),
+			"y": svg_measurement(options["unit"], 0),
+			"style": options["style"],
+			"transform": options["transform"],
+		},
+		"".join(children)
+	)
+	
+
+def svg_tspan(
+	content,
+	options = None
+):
+	options = (
+		{
+			"unit": None,
+			"x": 0,
+			"y": 0,
+			"style": None,
+		}
+		|
+		(options or {})
+	)
+	return xml_node_regular(
+		"tspan",
+		{
+			"x": svg_measurement(options["unit"], options["x"]),
+			"y": svg_measurement(options["unit"], options["y"]),
+			"style": options["style"],
+		},
+		content
+	)
+	
+
+def svg_root(
+	content,
+	options = None
+):
+	options = (
+		{
+			"width": 210,
+			"height": 297,
+			"window": {
+				"from": {"x": 0, "y": 0},
+				"to": {"x": 297, "y": 210},
+			},
+		}
+		|
+		(options or {})
+	)
+	return xml_node_regular(
+		"svg",
+		{
+			"xmlns": "http://www.w3.org/2000/svg",
+			"xmlns:svg": "http://www.w3.org/2000/svg",
+			"version": "1.1",
+			"width": svg_measurement("mm", options["width"]),
+			"height": svg_measurement("mm", options["height"]),
+			"viewBox": string_coin(
+				"{{anchor_x}} {{anchor_y}} {{size_x}} {{size_y}}",
+				{
+					"anchor_x": ("%u" % options["window"]["from"]["x"]),
+					"anchor_y": ("%u" % options["window"]["from"]["y"]),
+					"size_x": ("%u" % (options["window"]["to"]["x"] - options["window"]["from"]["x"])),
+					"size_y": ("%u" % (options["window"]["to"]["y"] - options["window"]["from"]["y"])),
+				}
+			),
+		},
+		content
+	)
+	
+
+def main(
+):
+	## args
+	argument_parser = _argparse.ArgumentParser(
+	)
+	argument_parser.add_argument(
+		"data_path",
+		type = str,
+		metavar = "<data-path>",
+	)
+	argument_parser.add_argument(
+		"-W",
+		"--page-width",
+		type = int,
+		metavar = "<page-width>",
+		default = 210,
+		help = "in mm",
+	)
+	argument_parser.add_argument(
+		"-H",
+		"--page-height",
+		type = int,
+		metavar = "<page-height>",
+		default = 297,
+		help = "in mm",
+	)
+	argument_parser.add_argument(
+		"-u",
+		"--tile-width",
+		type = float,
+		metavar = "<tile-width>",
+		default = 52.5,
+		help = "in mm",
+	)
+	argument_parser.add_argument(
+		"-v",
+		"--tile-height",
+		type = float,
+		metavar = "<tile-height>",
+		default = 74.25,
+		help = "in mm",
+	)
+	argument_parser.add_argument(
+		"-f",
+		"--fill-tiles",
+		action = "store_true",
+	)
+	argument_parser.add_argument(
+		"-o",
+		"--output-directory",
+		type = str,
+		metavar = "<output-directory>",
+		default = "/tmp/memory",
+	)
+	args = argument_parser.parse_args()
+	
+	## consts
+	phi = ((_math.sqrt(5) - 1) / 2)
+	unit = None
+	conf = {
+		"colors": {
+			"background": {
+				"saturation": 0.0,
+				"lightness": 1.0,
+			},
+			"foreground": {
+				"saturation": 0.0,
+				"lightness": 0.0,
+			},
+		},
+		"stroke": 1.0,
+	}
+	
+	## input
+	content_in = file_text_read(args.data_path)
+	data = _json.loads(content_in)
+	
+	## execution
+	tiles = convey(
+		data,
+		[
+			len,
+			range,
+			lambda indices: list(map(
+				lambda index: [
+					{
+						"id": index,
+						"content": list(map(
+							lambda text: {
+								"text": text.strip(),
+								"offset_left": string_count_begin(text, " "),
+								"offset_right": string_count_end(text, " "),
+							},
+							data[index]["links"]
+						)),
+						"invert": False,
+					},
+					{
+						"id": index,
+						"content": list(map(
+							lambda text: {
+								"text": text.strip(),
+								"offset_left": string_count_begin(text, " "),
+								"offset_right": string_count_end(text, " "),
+							},
+							data[index]["rechts"]
+						)),
+						"invert": True,
+					},
+				],
+				indices
+			)),
+			lambda x: _functools.reduce(lambda a, b: (a + b), x, []),
+		]
+	)
+	tiles_per_line = int(args.page_width // args.tile_width)
+	lines_per_page = int(args.page_height // args.tile_height)
+	tiles_per_page = int(tiles_per_line * lines_per_page)
+	pages = int(_math.ceil(len(tiles) / tiles_per_page))
+	if False:
+		_sys.stderr.write(
+			_json.dumps(
+				{
+					"page_width": args.page_width,
+					"page_height": args.page_height,
+					"tile_width": args.tile_width,
+					"tile_height": args.tile_height,
+					"tiles_per_line": tiles_per_line,
+					"lines_per_page": lines_per_page,
+					"tiles_per_page": tiles_per_page,
+					"tiles": len(tiles),
+					"pages": pages,
+				},
+				indent = "\t"
+			)
+			+
+			"\n"
+		)
+	
+	## output
+	for page in range(pages):
+		_sys.stderr.write("-- page %u/%u …\n" % ((page + 1), pages, ))
+		content_out = svg_root(
+			svg_group(
+				convey(
+					range(
+						((page + 0) * tiles_per_page),
+						min(
+							((page + 1) * tiles_per_page),
+							len(tiles)
+						)
+					),
+					[
+						lambda indices: map(
+							lambda index: svg_group(
+								[
+									svg_rect(
+										0,
+										0,
+										args.tile_width,
+										args.tile_height,
+										{
+											"unit": unit,
+											"style": css_commands(
+												{
+													"stroke": css_color_hsl(
+														((tiles[index]["id"] * phi) % 1),
+														{
+															"saturation": (
+																conf["colors"]["foreground"]["saturation"]
+																if (not tiles[index]["invert"]) else
+																conf["colors"]["background"]["saturation"]
+															),
+															"lightness": (
+																conf["colors"]["foreground"]["lightness"]
+																if (not tiles[index]["invert"]) else
+																conf["colors"]["background"]["lightness"]
+															),
+														}
+													),
+													"stroke-width": svg_measurement(unit, 0.5),
+													"fill": (
+														"none"
+														if (not args.fill_tiles) else
+														css_color_hsl(
+															((tiles[index]["id"] * phi) % 1),
+															{
+																"saturation": (
+																	conf["colors"]["background"]["saturation"]
+																	if (not tiles[index]["invert"]) else
+																	conf["colors"]["foreground"]["saturation"]
+																),
+																"lightness": (
+																	conf["colors"]["background"]["lightness"]
+																	if (not tiles[index]["invert"]) else
+																	conf["colors"]["foreground"]["lightness"]
+																),
+															}
+														)
+													),
+												}
+											),
+										}
+									),
+									svg_text(
+										list(
+											map(
+												lambda number: svg_tspan(
+													(
+														tiles[index]["content"][number]["text"]
+														.replace(" ", "\xA0")
+													),
+													{
+														"unit": unit,
+														"x": (
+															(
+																(-len(tiles[index]["content"][number]["text"]))
+																+
+																tiles[index]["content"][number]["offset_left"]
+																-
+																tiles[index]["content"][number]["offset_right"]
+															)
+															*
+															3.6
+														),
+														"y": (
+															(
+																(-((len(tiles[index]["content"]) - 1) / 2))
+																+
+																number
+															)
+															*
+															16.0
+														),
+														"style": css_commands(
+															{
+																"stroke": css_color_hsl(
+																	((tiles[index]["id"] * phi) % 1),
+																	{
+																		"saturation": (
+																			conf["colors"]["foreground"]["saturation"]
+																			if (not tiles[index]["invert"]) else
+																			conf["colors"]["background"]["saturation"]
+																		),
+																		"lightness": (
+																			conf["colors"]["foreground"]["lightness"]
+																			if (not tiles[index]["invert"]) else
+																			conf["colors"]["background"]["lightness"]
+																		),
+																	}
+																),
+																"stroke-width": svg_measurement(unit, conf["stroke"]),
+																"fill": css_color_hsl(
+																	((tiles[index]["id"] * phi) % 1),
+																	{
+																		"saturation": (
+																			conf["colors"]["foreground"]["saturation"]
+																			if (not tiles[index]["invert"]) else
+																			conf["colors"]["background"]["saturation"]
+																		),
+																		"lightness": (
+																			conf["colors"]["foreground"]["lightness"]
+																			if (not tiles[index]["invert"]) else
+																			conf["colors"]["background"]["lightness"]
+																		),
+																	}
+																),
+															}
+														),
+													}
+												),
+												range(len(tiles[index]["content"]))
+											)
+										),
+										{
+											"unit": unit,
+											"style": css_commands(
+												{
+													"font-family": "Noto Mono",
+													"font-width": "bolder",
+													"font-size": "16",
+												}
+											),
+											"transform": string_coin(
+												"translate({{x}} {{y}})",
+												{
+													"x": svg_measurement(
+														unit,
+														(args.tile_width * 0.5)
+													),
+													"y": svg_measurement(
+														unit,
+														(args.tile_height * 0.6)
+													),
+												}
+											),
+										}
+									),
+								],
+								{
+									"transform": string_coin(
+										"translate({{x}} {{y}})",
+										{
+											"x": svg_measurement(
+												unit,
+												convey(
+													index,
+													[
+														lambda x: (x % tiles_per_page),
+														lambda x: (x % tiles_per_line),
+														lambda x: (x * args.tile_width),
+													]
+												)
+											),
+											"y": svg_measurement(
+												unit,
+												convey(
+													index,
+													[
+														lambda x: (x % tiles_per_page),
+														lambda x: (x // tiles_per_line),
+														lambda x: (x * args.tile_height),
+													]
+												)
+											),
+										}
+									),
+								}
+							),
+							indices
+						),
+						list,
+					]
+				)
+			),
+			{
+				"width": args.page_width,
+				"height": args.page_height,
+				"window": {
+					"from": {"x": 0, "y": 0},
+					"to": {"x": args.page_width, "y": args.page_height},
+				},
+			}
+		)
+		file_text_write(
+			_os.path.join(
+				args.output_directory,
+				"%u.svg" % (page + 1)
+			),
+			content_out
+		)
+	
+	_sys.stderr.write("-- output written to %s\n" % (args.output_directory, ))
+	
+
+main()
+
diff --git a/tools/build b/tools/build
new file mode 100755
index 0000000..09a1544
--- /dev/null
+++ b/tools/build
@@ -0,0 +1,16 @@
+#!/usr/bin/env sh
+
+## const
+
+dir_source="source"
+dir_build="build"
+
+
+## exec
+
+mkdir -p ${dir_build}
+echo "#!/usr/bin/env python3\n" > ${dir_build}/memory
+cat ${dir_source}/main.py >> ${dir_build}/memory
+chmod +x ${dir_build}/memory
+
+