Commit 7b4f134362c93a4f81b70a37facf64d2728ceb4f - documents

Personal docs as of 2017/8/2 Getty Ritter 7 years ago

29 changed file(s) with 5203 addition(s) and 97 deletion(s). Collapse all Expand all

7th_sea_character_record.pdf less more

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Hanoi.ps less more

	1	%!
	2	%% towers of hanoi in PostScript
	3	%% copyright 2001, by Dylan James McNamee
	4	%% Creative Commons license, attribution please
	5
	6	%% solve_hanoi takes, on the stack
	7	%% number of discs, start-post, end-post, middle-post
	8	%% leaves nothing on the stack
	9
	10	/solve_hanoi {
	11	4 dict begin
	12	/middlepost exch def
	13	/endpost exch def
	14	/startpost exch def
	15	/count exch def
	16
	17	count 1 eq
	18	{ startpost endpost move_disc }
	19	{ count 1 sub startpost middlepost endpost solve_hanoi %% solve n-1
	20	draw_towers
	21
	22	startpost endpost move_disc %% move the bottom disc
	23	draw_towers
	24
	25	count 1 sub middlepost endpost startpost solve_hanoi %% solve n-1 again
	26	}
	27	ifelse
	28	end
	29	} def
	30
	31	%% init_hanoi takes
	32	%% number_of_discs
	33	%% fills the globals "posts" and "stacks" with the data structures needed by
	34	%% solve_hanoi
	35
	36	/init_hanoi {
	37	/numdiscs exch def
	38	/halfdiscs numdiscs 2 div def
	39	/drawiter 0 def
	40	posts 0 [ numdiscs -1 1 { } for ] put
	41	posts 1 [ 1 1 numdiscs { pop 0 } for ] put
	42	posts 2 [ 1 1 numdiscs { pop 0 } for ] put
	43	stacks 0 numdiscs put
	44	} def
	45
	46	%% move_disc takes on the stack
	47	%% start-post, end-post
	48	%% leaves nothing
	49	/move_disc {
	50	exch
	51	pop_disc
	52	push_disc
	53	% posts (<move) == pstack (move>) == pop
	54	} def
	55
	56	/posts [ [] [] [] ] def
	57	/stacks [ 0 0 0 ] def
	58
	59	%% push takes
	60	%% post-number, value
	61	%% leaves nothing
	62	/push_disc {
	63	%% c code equivalent of this routine:
	64	%% posts[stacks[post]] = value
	65	%% stacks[post]++;
	66	%% (in push) == pstack (in push) ==
	67
	68	/value exch def
	69	/post exch def
	70	%% first push the disc onto the correct post
	71	%% put:
	72	posts %% this posts array
	73	post get
	74	stacks post get %% index into this post
	75
	76	value %% the value
	77	put
	78
	79	%% now increment that post's stack-top
	80	%% put:
	81	stacks %% stacks array
	82	post %% index into stacks
	83	stacks post get 1 add
	84	put
	85	} def
	86
	87	%% pop_disc takes
	88	%% post-number
	89	%% leaves the value, popped from that stack
	90	/pop_disc {
	91	/post exch def
	92	% put: (decrement stack pointer)
	93	stacks
	94	post
	95	% get:
	96	stacks
	97	post
	98	get 1 sub
	99	put
	100
	101	%% place top disc of this post on stack
	102	% get: - get the top disc
	103	% get: - get this post's discs
	104	posts
	105	post
	106	get
	107	% get: - get this stack's index
	108	stacks
	109	post
	110	get
	111	get
	112
	113	% put: - clear the vacated spot
	114	posts
	115	post
	116	get
	117	stacks
	118	post
	119	get
	120	0
	121	put
	122
	123	} def
	124
	125	/draw_towers {
	126	draw_towers_horiz
	127	} def
	128
	129	/draw_towers_vert {
	130	gsave
	131	[ 0 1 2 ] { draw_tower } forall
	132	% space out sets of towers:
	133	grestore
	134
	135	%% vertically, with wrap
	136	currentpoint
	137	exch pop 100 gt {
	138	0 numdiscs 2 add scale mul -1 mul rmoveto
	139	} {
	140	userdict begin %% eek -- we're modifying a global within a recursive namespace
	141	/cur-x numdiscs scale mul 4 mul cur-x add def
	142	cur-x cur-y
	143	%% (<wrapping) == pstack (wrapping>) ==
	144	moveto
	145	end
	146	} ifelse
	147	} def
	148
	149	/draw_towers_horiz {
	150	[ 0 1 2 ] { draw_tower } forall
	151	userdict begin /drawiter drawiter 1 add def
	152	drawiter 16 lt {
	153	numdiscs scale mul 0 rmoveto
	154	} {
	155	/cur-y cur-y numdiscs scale mul 4 mul sub def
	156	cur-x cur-y moveto
	157	/drawiter 0 def
	158	} ifelse
	159	end
	160	} def
	161
	162	%% draw_tower draws a post (passed on the stack)
	163	/draw_tower {
	164	draw_post
	165	posts exch get { draw_disc } forall
	166	% space the towers out
	167	numdiscs scale mul scale add numdiscs scale mul -1 mul rmoveto
	168	} def
	169
	170	/draw_post {
	171	gsave 0.6 setgray 0 numdiscs scale mul rlineto stroke grestore
	172	% halfdiscs scale mul 0 moveto
	173	} def
	174
	175	/draw_disc {
	176	% (draw_disc) == pstack (draw_disc) ==
	177	/discsize exch scale mul def
	178	/halfsize discsize 2 div def
	179	halfsize -1 mul 0 rmoveto discsize 0 rlineto gsave stroke grestore
	180	halfsize -1 mul scale rmoveto
	181	} def
	182
	183
	184	6 init_hanoi
	185	/scale 1 def
	186	scale 2 div setlinewidth
	187
	188	/cur-y 700 def
	189	/cur-x 100 def
	190	cur-x cur-y moveto
	191	draw_towers
	192
	193	% [3 2 1] { draw_disc } forall
	194
	195	%% stacks posts numdiscs
	196	%% (before) == pstack (before) ==
	197	%% pop pop pop
	198
	199	%% number of discs, start-post, end-post, middle-post
	200	numdiscs 0 2 1 solve_hanoi
	201	draw_towers
	202
	203	%% stacks posts
	204	%% (after) == pstack (after) ==
	205	%% pop pop
	206
	207	showpage

dnd-5e_character_sheet_with_sanity.pdf less more

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dnd-5e_character_sheet_with_sanity.svg less more

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	1273	style="-inkscape-font-specification:'Fira Sans';font-family:'Fira Sans';font-weight:normal;font-style:normal;font-stretch:normal;font-variant:normal">CLASS & LEVEL</tspan></text>
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	1305	id="tspan4999">EXPERIENCE POINTS</tspan></text>
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	1313	id="tspan5003">ALIGNMENT</tspan></text>
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	1325	id="tspan5017">TM & © 2014 Wizards of the Coast LLC. Permission is granted to photocopy this document for personal use.</tspan></text>
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	1333	id="tspan5021">Hit Point Maximum</tspan></text>
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	1376	sodipodi:role="line"
	1377	id="tspan5053">Strength</tspan></text>
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	1408	sodipodi:role="line"
	1409	id="tspan5077">Dexterity</tspan></text>
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	1441	id="tspan5101">Constitution</tspan></text>
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	1473	id="tspan5125">Intelligence</tspan></text>
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	1532	x="131"
	1533	y="-507.66269"><tspan
	1534	x="131 135.36169 139.1942 142.5787 145.0882 146.84799 150.0148 156.02429"
	1535	y="-507.66269"
	1536	sodipodi:role="line"
	1537	id="tspan5173">Charisma</tspan></text>
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	1542	x="0 3.47875"
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	1544	sodipodi:role="line"
	1545	id="tspan5177">CP</tspan></text>
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	1550	x="0 3.0992501"
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	1552	sodipodi:role="line"
	1553	id="tspan5181">EP</tspan></text>
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	1560	sodipodi:role="line"
	1561	id="tspan5185">PP</tspan></text>
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	1568	sodipodi:role="line"
	1569	id="tspan5189">GP</tspan></text>
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	1577	id="tspan5193">SP</tspan></text>
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	1585	id="tspan5201">EQUIPMENT</tspan></text>
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	1590	x="0 4.862 8.3330002 13.312 16.783001 20.546499 22.139 25.720501 29.483999 34.410999 37.7715 39.688999 43.589001 45.5065 48.977501 53.878502 57.7785 59.695999 63.167 66.605499 68.197998 72.722 74.314499 77.499496 81.334503 86.235497 90.805 95.322502 99.125 103.6945 107.1655"
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	1593	id="tspan5205">OTHER PROFICIENCIES & LANGUAGES</tspan></text>
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	1598	x="0 3.5425 7.046 10.2245 14.0595 17.992001 21.703501 25.1745 26.7995 31.356001 32.980999 36.452 40.066002 43.5695 46.786999 50.004501 53.937 57.804501 61.275501 64.778999 66.728996 71.662498"
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	1601	id="tspan5209">ATTACKS & SPELLCASTING</tspan></text>
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	1606	x="0 3.3929999 6.8965001 10.439 13.9425 18.4925 22.2885 25.792 29.263 30.888 35.4445 36.939499 40.443001 44.238998 48.106499 50.056499 53.560001"
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	1609	id="tspan5213">FEATURES & TRAITS</tspan></text>
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	1633	id="g5235"
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	1641	id="text5239"
	1642	x="131.0024"
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	1644	x="131.0024 135.33611 138.5554 140.9816 144.8253 148.6172 152.0423 154.3033 156.13029 159.4364 162.5654"
	1645	y="-447.10355"
	1646	sodipodi:role="line"
	1647	id="tspan5241">Acrobatics </tspan></text>
	1648	<text
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	1650	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:7px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#a0a2a2;fill-opacity:1;fill-rule:nonzero;stroke:none"
	1651	id="text5243"
	1652	x="164.3147"
	1653	y="-447.10355"><tspan
	1654	x="164.3147 166.60719 171.67799 175.1472 178.0683"
	1655	y="-447.10355"
	1656	sodipodi:role="line"
	1657	id="tspan5245">(Dex)</tspan></text>
	1658	<g
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	1661	id="g5249"
	1662	clip-path="url(#clipPath5251)"><g
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	1666	style="fill:#ffffff;fill-opacity:1;fill-rule:nonzero;stroke:none"
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	1684	x="131.0024"
	1685	y="-433.60355"><tspan
	1686	x="131.0024 135.3165 139.1875 140.9725 146.98199 150.3875 152.0605 153.8105 159.2775 162.662 166.603 170.4523 172.1813 173.96631 177.8674 181.4164"
	1687	y="-433.60355"
	1688	sodipodi:role="line"
	1689	id="tspan5269">Animal Handling </tspan></text>
	1690	<text
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	1694	x="183.1637"
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	1696	x="183.1637 186.0932 192.3064 194.06619 197.0412"
	1697	y="-433.60355"
	1698	sodipodi:role="line"
	1699	id="tspan5273">(Wis)</tspan></text>
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	1724	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:7px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#000000;fill-opacity:1;fill-rule:nonzero;stroke:none"
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	1726	x="131.0024"
	1727	y="-420.10355"><tspan
	1728	x="131.0024 135.3165 137.7455 141.0334 144.41789 148.3134 151.6454"
	1729	y="-420.10355"
	1730	sodipodi:role="line"
	1731	id="tspan5297">Arcana </tspan></text>
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	1734	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:7px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#a0a2a2;fill-opacity:1;fill-rule:nonzero;stroke:none"
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	1736	x="153.3951"
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	1738	x="153.3951 156.00121 158.13969 162.0632 164.21919"
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	1740	sodipodi:role="line"
	1741	id="tspan5301">(Int)</tspan></text>
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	1747	id="g5311"
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	1759	id="g5319"
	1760	transform="translate(112,404.8536)"><path
	1761	d="M 0,0 14.224,0"
	1762	style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-dasharray:none;stroke-opacity:1"
	1763	id="path5321"
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	1765	transform="scale(1,-1)"
	1766	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:7px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#000000;fill-opacity:1;fill-rule:nonzero;stroke:none"
	1767	id="text5323"
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	1770	x="131.0024 135.3158 137.60339 141.424 143.23489 146.71671 148.97771 150.8047 154.1115 157.24049"
	1771	y="-406.60355"
	1772	sodipodi:role="line"
	1773	id="tspan5325">Athletics </tspan></text>
	1774	<text
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	1776	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:7px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#a0a2a2;fill-opacity:1;fill-rule:nonzero;stroke:none"
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	1780	x="158.9893 161.5387 165.3257 167.5881 169.99609"
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	1782	sodipodi:role="line"
	1783	id="tspan5329">(Str)</tspan></text>
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	1786	transform="translate(0,-16)"><g
	1787	id="g5333"
	1788	clip-path="url(#clipPath5335)"><g
	1789	id="g5339"
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	1792	style="fill:#ffffff;fill-opacity:1;fill-rule:nonzero;stroke:none"
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	1795	id="g5343"
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	1799	id="path5345"
	1800	inkscape:connector-curvature="0" /></g></g></g><g
	1801	id="g5347"
	1802	transform="translate(112,391.3536)"><path
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	1807	transform="scale(1,-1)"
	1808	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:7px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#000000;fill-opacity:1;fill-rule:nonzero;stroke:none"
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	1812	x="131.0024 136.1579 139.61031 142.7953 146.2162 150.16141 152.42239 154.2494 158.0784 161.8934"
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	1814	sodipodi:role="line"
	1815	id="tspan5353">Deception </tspan></text>
	1816	<text
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	1818	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:7px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#a0a2a2;fill-opacity:1;fill-rule:nonzero;stroke:none"
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	1822	x="163.64439 166.21899 170.5807 174.41319 177.6402"
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	1824	sodipodi:role="line"
	1825	id="tspan5357">(Cha)</tspan></text>
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	1843	id="g5375"
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	1850	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:7px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#000000;fill-opacity:1;fill-rule:nonzero;stroke:none"
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	1854	x="131.0024 136.44141 138.2012 141.49049 143.7242 147.5553 150.3105 153.14551"
	1855	y="-379.60355"
	1856	sodipodi:role="line"
	1857	id="tspan5381">History </tspan></text>
	1858	<text
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	1860	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:7px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#a0a2a2;fill-opacity:1;fill-rule:nonzero;stroke:none"
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	1864	x="154.8959 157.502 159.6405 163.564 165.72"
	1865	y="-379.60355"
	1866	sodipodi:role="line"
	1867	id="tspan5385">(Int)</tspan></text>
	1868	<g
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	1870	transform="translate(0,-16)"><g
	1871	id="g5389"
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	1873	id="g5395"
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	1876	style="fill:#ffffff;fill-opacity:1;fill-rule:nonzero;stroke:none"
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	1879	id="g5399"
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	1883	id="path5401"
	1884	inkscape:connector-curvature="0" /></g></g></g><g
	1885	id="g5403"
	1886	transform="translate(112,364.3536)"><path
	1887	d="M 0,0 14.224,0"
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	1889	id="path5405"
	1890	inkscape:connector-curvature="0" /></g><text
	1891	transform="scale(1,-1)"
	1892	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:7px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#000000;fill-opacity:1;fill-rule:nonzero;stroke:none"
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	1895	y="-366.10355"><tspan
	1896	x="131.0024 133.1409 136.99789 140.1514 141.9567 145.62399 149.48801 151.651"
	1897	y="-366.10355"
	1898	sodipodi:role="line"
	1899	id="tspan5409">Insight </tspan></text>
	1900	<text
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	1902	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:7px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#a0a2a2;fill-opacity:1;fill-rule:nonzero;stroke:none"
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	1905	y="-366.10355"><tspan
	1906	x="153.4014 156.3309 162.5441 164.30389 167.2789"
	1907	y="-366.10355"
	1908	sodipodi:role="line"
	1909	id="tspan5413">(Wis)</tspan></text>
	1910	<g
	1911	id="g5415"
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	1913	id="g5417"
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	1926	inkscape:connector-curvature="0" /></g></g></g><g
	1927	id="g5431"
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	1931	id="path5433"
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	1933	transform="scale(1,-1)"
	1934	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:7px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#000000;fill-opacity:1;fill-rule:nonzero;stroke:none"
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	1938	x="131.0024 133.1409 137.06441 139.32539 141.1076 147.09331 148.9301 152.79691 156.222 158.483 160.31 164.13901 167.95399"
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	1940	sodipodi:role="line"
	1941	id="tspan5437">Intimidation </tspan></text>
	1942	<text
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	1944	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:7px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#a0a2a2;fill-opacity:1;fill-rule:nonzero;stroke:none"
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	1946	x="169.70621"
	1947	y="-352.60355"><tspan
	1948	x="169.70621 172.28081 176.6425 180.47501 183.702"
	1949	y="-352.60355"
	1950	sodipodi:role="line"
	1951	id="tspan5441">(Cha)</tspan></text>
	1952	<g
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	1954	transform="translate(0,-16)"><g
	1955	id="g5445"
	1956	clip-path="url(#clipPath5447)"><g
	1957	id="g5451"
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	1963	id="g5455"
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	1968	inkscape:connector-curvature="0" /></g></g></g><g
	1969	id="g5459"
	1970	transform="translate(112,337.3536)"><path
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	1975	transform="scale(1,-1)"
	1976	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:7px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#000000;fill-opacity:1;fill-rule:nonzero;stroke:none"
	1977	id="text5463"
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	1979	y="-339.10355"><tspan
	1980	x="131.0024 133.1409 137.00349 140.1962 143.5968 146.88609 149.14709 150.95241 154.6232 158.04829 160.3093 162.13631 165.9653 169.7803"
	1981	y="-339.10355"
	1982	sodipodi:role="line"
	1983	id="tspan5465">Investigation </tspan></text>
	1984	<text
	1985	transform="scale(1,-1)"
	1986	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:7px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#a0a2a2;fill-opacity:1;fill-rule:nonzero;stroke:none"
	1987	id="text5467"
	1988	x="171.5325"
	1989	y="-339.10355"><tspan
	1990	x="171.5325 174.1386 176.2771 180.20061 182.3566"
	1991	y="-339.10355"
	1992	sodipodi:role="line"
	1993	id="tspan5469">(Int)</tspan></text>
	1994	<g
	1995	id="g5471"
	1996	transform="translate(0,-16)"><g
	1997	id="g5473"
	1998	clip-path="url(#clipPath5475)"><g
	1999	id="g5479"
	2000	transform="translate(104.3291,340.9619)"><path
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	2002	style="fill:#ffffff;fill-opacity:1;fill-rule:nonzero;stroke:none"
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	2005	id="g5483"
	2006	transform="translate(104.3291,340.6035)"><path
	2007	d="m 0,0 c -1.836,0 -3.329,1.493 -3.329,3.329 0,1.836 1.493,3.329 3.329,3.329 1.837,0 3.33,-1.493 3.33,-3.329 C 3.33,1.493 1.837,0 0,0 m 0,5.942 c -1.441,0 -2.613,-1.171 -2.613,-2.613 0,-1.441 1.172,-2.613 2.613,-2.613 1.441,0 2.614,1.172 2.614,2.613 0,1.442 -1.173,2.613 -2.614,2.613"
	2008	style="fill:#000000;fill-opacity:1;fill-rule:nonzero;stroke:none"
	2009	id="path5485"
	2010	inkscape:connector-curvature="0" /></g></g></g><g
	2011	id="g5487"
	2012	transform="translate(112,323.8536)"><path
	2013	d="M 0,0 14.224,0"
	2014	style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-dasharray:none;stroke-opacity:1"
	2015	id="path5489"
	2016	inkscape:connector-curvature="0" /></g><text
	2017	transform="scale(1,-1)"
	2018	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:7px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#000000;fill-opacity:1;fill-rule:nonzero;stroke:none"
	2019	id="text5491"
	2020	x="131.0024"
	2021	y="-325.60355"><tspan
	2022	x="131.0024 137.26041 140.72749 144.567 146.3912 149.61121 151.3941 155.3351 158.6181"
	2023	y="-325.60355"
	2024	sodipodi:role="line"
	2025	id="tspan5493">Medicine </tspan></text>
	2026	<text
	2027	transform="scale(1,-1)"
	2028	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:7px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#a0a2a2;fill-opacity:1;fill-rule:nonzero;stroke:none"
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	2030	x="160.3705"
	2031	y="-325.60355"><tspan
	2032	x="160.3705 163.3 169.5132 171.27299 174.248"
	2033	y="-325.60355"
	2034	sodipodi:role="line"
	2035	id="tspan5497">(Wis)</tspan></text>
	2036	<g
	2037	id="g5499"
	2038	transform="translate(0,-16)"><g
	2039	id="g5501"
	2040	clip-path="url(#clipPath5503)"><g
	2041	id="g5507"
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	2044	style="fill:#ffffff;fill-opacity:1;fill-rule:nonzero;stroke:none"
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	2053	id="g5515"
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	2055	d="M 0,0 14.224,0"
	2056	style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-dasharray:none;stroke-opacity:1"
	2057	id="path5517"
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	2059	transform="scale(1,-1)"
	2060	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:7px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#000000;fill-opacity:1;fill-rule:nonzero;stroke:none"
	2061	id="text5519"
	2062	x="131.0024"
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	2064	x="131.0024 136.38541 139.8084 142.06239 145.90961 148.3596 151.64191"
	2065	y="-312.10355"
	2066	sodipodi:role="line"
	2067	id="tspan5521">Nature </tspan></text>
	2068	<text
	2069	transform="scale(1,-1)"
	2070	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:7px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#a0a2a2;fill-opacity:1;fill-rule:nonzero;stroke:none"
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	2074	x="153.3951 156.00121 158.13969 162.0632 164.21919"
	2075	y="-312.10355"
	2076	sodipodi:role="line"
	2077	id="tspan5525">(Int)</tspan></text>
	2078	<g
	2079	id="g5527"
	2080	transform="translate(0,-16)"><g
	2081	id="g5529"
	2082	clip-path="url(#clipPath5531)"><g
	2083	id="g5535"
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	2086	style="fill:#ffffff;fill-opacity:1;fill-rule:nonzero;stroke:none"
	2087	id="path5537"
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	2089	id="g5539"
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	2093	id="path5541"
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	2095	id="g5543"
	2096	transform="translate(112,296.8536)"><path
	2097	d="M 0,0 14.224,0"
	2098	style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-dasharray:none;stroke-opacity:1"
	2099	id="path5545"
	2100	inkscape:connector-curvature="0" /></g><text
	2101	transform="scale(1,-1)"
	2102	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:7px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#000000;fill-opacity:1;fill-rule:nonzero;stroke:none"
	2103	id="text5547"
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	2106	x="131.0024 134.98331 138.40491 140.83389 144.0182 147.4398 151.38499 153.646 155.47301 159.302 163.1163"
	2107	y="-298.60355"
	2108	sodipodi:role="line"
	2109	id="tspan5549">Perception </tspan></text>
	2110	<text
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	2112	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:7px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#a0a2a2;fill-opacity:1;fill-rule:nonzero;stroke:none"
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	2116	x="164.868 167.7975 174.0107 175.77049 178.7455"
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	2118	sodipodi:role="line"
	2119	id="tspan5553">(Wis)</tspan></text>
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	2123	id="g5557"
	2124	clip-path="url(#clipPath5559)"><g
	2125	id="g5563"
	2126	transform="translate(104.3291,300.4619)"><path
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	2128	style="fill:#ffffff;fill-opacity:1;fill-rule:nonzero;stroke:none"
	2129	id="path5565"
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	2131	id="g5567"
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	2136	inkscape:connector-curvature="0" /></g></g></g><g
	2137	id="g5571"
	2138	transform="translate(112,283.3536)"><path
	2139	d="M 0,0 14.224,0"
	2140	style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-dasharray:none;stroke-opacity:1"
	2141	id="path5573"
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	2143	transform="scale(1,-1)"
	2144	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:7px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#000000;fill-opacity:1;fill-rule:nonzero;stroke:none"
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	2148	x="131.0024 134.98331 138.40491 141.1097 143.23421 147.06461 149.5741 155.5836 158.96809 162.89931 166.0843 169.36729"
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	2150	sodipodi:role="line"
	2151	id="tspan5577">Performance </tspan></text>
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	2154	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:7px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#a0a2a2;fill-opacity:1;fill-rule:nonzero;stroke:none"
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	2158	x="171.11749 173.69209 178.0538 181.88631 185.1133"
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	2160	sodipodi:role="line"
	2161	id="tspan5581">(Cha)</tspan></text>
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	2165	id="g5585"
	2166	clip-path="url(#clipPath5587)"><g
	2167	id="g5591"
	2168	transform="translate(104.3291,286.9619)"><path
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	2170	style="fill:#ffffff;fill-opacity:1;fill-rule:nonzero;stroke:none"
	2171	id="path5593"
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	2173	id="g5595"
	2174	transform="translate(104.3291,286.6035)"><path
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	2176	style="fill:#000000;fill-opacity:1;fill-rule:nonzero;stroke:none"
	2177	id="path5597"
	2178	inkscape:connector-curvature="0" /></g></g></g><g
	2179	id="g5599"
	2180	transform="translate(112,269.8536)"><path
	2181	d="M 0,0 14.224,0"
	2182	style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-dasharray:none;stroke-opacity:1"
	2183	id="path5601"
	2184	inkscape:connector-curvature="0" /></g><text
	2185	transform="scale(1,-1)"
	2186	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:7px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#000000;fill-opacity:1;fill-rule:nonzero;stroke:none"
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	2190	x="131.0024 134.9854 138.407 140.92 144.0889 147.9669 151.37241 154.52589 156.3459 160.177 163.992"
	2191	y="-271.60355"
	2192	sodipodi:role="line"
	2193	id="tspan5605">Persuasion </tspan></text>
	2194	<text
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	2196	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:7px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#a0a2a2;fill-opacity:1;fill-rule:nonzero;stroke:none"
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	2198	x="165.743"
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	2200	x="165.743 168.3176 172.67931 176.5118 179.7388"
	2201	y="-271.60355"
	2202	sodipodi:role="line"
	2203	id="tspan5609">(Cha)</tspan></text>
	2204	<g
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	2207	id="g5613"
	2208	clip-path="url(#clipPath5615)"><g
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	2210	transform="translate(104.3291,273.4619)"><path
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	2212	style="fill:#ffffff;fill-opacity:1;fill-rule:nonzero;stroke:none"
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	2215	id="g5623"
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	2219	id="path5625"
	2220	inkscape:connector-curvature="0" /></g></g></g><g
	2221	id="g5627"
	2222	transform="translate(112,256.3536)"><path
	2223	d="M 0,0 14.224,0"
	2224	style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-dasharray:none;stroke-opacity:1"
	2225	id="path5629"
	2226	inkscape:connector-curvature="0" /></g><text
	2227	transform="scale(1,-1)"
	2228	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:7px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#000000;fill-opacity:1;fill-rule:nonzero;stroke:none"
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	2230	x="131.0024"
	2231	y="-258.10355"><tspan
	2232	x="131.0024 135.1709 138.60229 140.3327 142.138 145.7794 147.6064 151.43539 155.2504"
	2233	y="-258.10355"
	2234	sodipodi:role="line"
	2235	id="tspan5633">Religion </tspan></text>
	2236	<text
	2237	transform="scale(1,-1)"
	2238	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:7px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#a0a2a2;fill-opacity:1;fill-rule:nonzero;stroke:none"
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	2240	x="157.00011"
	2241	y="-258.10355"><tspan
	2242	x="157.00011 159.6062 161.74471 165.6682 167.8242"
	2243	y="-258.10355"
	2244	sodipodi:role="line"
	2245	id="tspan5637">(Int)</tspan></text>
	2246	<g
	2247	id="g5639"
	2248	transform="translate(0,-16)"><g
	2249	id="g5641"
	2250	clip-path="url(#clipPath5643)"><g
	2251	id="g5647"
	2252	transform="translate(104.3291,259.9619)"><path
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	2254	style="fill:#ffffff;fill-opacity:1;fill-rule:nonzero;stroke:none"
	2255	id="path5649"
	2256	inkscape:connector-curvature="0" /></g><g
	2257	id="g5651"
	2258	transform="translate(104.3291,259.6035)"><path
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	2260	style="fill:#000000;fill-opacity:1;fill-rule:nonzero;stroke:none"
	2261	id="path5653"
	2262	inkscape:connector-curvature="0" /></g></g></g><g
	2263	id="g5655"
	2264	transform="translate(112,242.8536)"><path
	2265	d="M 0,0 14.224,0"
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	2267	id="path5657"
	2268	inkscape:connector-curvature="0" /></g><text
	2269	transform="scale(1,-1)"
	2270	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:7px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#000000;fill-opacity:1;fill-rule:nonzero;stroke:none"
	2271	id="text5659"
	2272	x="131.0024"
	2273	y="-244.60355"><tspan
	2274	x="131.0024 134.8244 136.6353 140.0394 141.8447 145.51199 149.37601 151.539 153.289 157.08861 159.06261 160.81261 166.2796 169.66411 173.6051 177.3781"
	2275	y="-244.60355"
	2276	sodipodi:role="line"
	2277	id="tspan5661">Sleight of Hand </tspan></text>
	2278	<text
	2279	transform="scale(1,-1)"
	2280	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:7px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#a0a2a2;fill-opacity:1;fill-rule:nonzero;stroke:none"
	2281	id="text5663"
	2282	x="179.1283"
	2283	y="-244.60355"><tspan
	2284	x="179.1283 181.42081 186.49159 189.9608 192.8819"
	2285	y="-244.60355"
	2286	sodipodi:role="line"
	2287	id="tspan5665">(Dex)</tspan></text>
	2288	<g
	2289	id="g5667"
	2290	transform="translate(0,-16)"><g
	2291	id="g5669"
	2292	clip-path="url(#clipPath5671)"><g
	2293	id="g5675"
	2294	transform="translate(104.3291,246.4619)"><path
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	2296	style="fill:#ffffff;fill-opacity:1;fill-rule:nonzero;stroke:none"
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	2299	id="g5679"
	2300	transform="translate(104.3291,246.1035)"><path
	2301	d="m 0,0 c -1.836,0 -3.329,1.493 -3.329,3.329 0,1.836 1.493,3.329 3.329,3.329 1.837,0 3.33,-1.493 3.33,-3.329 C 3.33,1.493 1.837,0 0,0 m 0,5.942 c -1.441,0 -2.613,-1.171 -2.613,-2.613 0,-1.441 1.172,-2.613 2.613,-2.613 1.441,0 2.614,1.172 2.614,2.613 0,1.442 -1.173,2.613 -2.614,2.613"
	2302	style="fill:#000000;fill-opacity:1;fill-rule:nonzero;stroke:none"
	2303	id="path5681"
	2304	inkscape:connector-curvature="0" /></g></g></g><g
	2305	id="g5683"
	2306	transform="translate(112,229.3536)"><path
	2307	d="M 0,0 14.224,0"
	2308	style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-dasharray:none;stroke-opacity:1"
	2309	id="path5685"
	2310	inkscape:connector-curvature="0" /></g><text
	2311	transform="scale(1,-1)"
	2312	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:7px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#000000;fill-opacity:1;fill-rule:nonzero;stroke:none"
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	2314	x="131.0024"
	2315	y="-231.10355"><tspan
	2316	x="131.0024 134.7901 137.049 140.451 143.85651 145.645 147.9326 151.6846"
	2317	y="-231.10355"
	2318	sodipodi:role="line"
	2319	id="tspan5689">Stealth </tspan></text>
	2320	<text
	2321	transform="scale(1,-1)"
	2322	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:7px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#a0a2a2;fill-opacity:1;fill-rule:nonzero;stroke:none"
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	2324	x="153.4344"
	2325	y="-231.10355"><tspan
	2326	x="153.4344 155.7269 160.7977 164.26691 167.188"
	2327	y="-231.10355"
	2328	sodipodi:role="line"
	2329	id="tspan5693">(Dex)</tspan></text>
	2330	<g
	2331	id="g5695"
	2332	transform="translate(0,-16)"><g
	2333	id="g5697"
	2334	clip-path="url(#clipPath5699)"><g
	2335	id="g5703"
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	2354	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:7px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#000000;fill-opacity:1;fill-rule:nonzero;stroke:none"
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	2358	x="131.0024 134.81039 138.65759 141.3848 144.6167 146.4451 149.6441 153.0461 154.7191"
	2359	y="-217.60355"
	2360	sodipodi:role="line"
	2361	id="tspan5717">Survival </tspan></text>
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	2368	x="156.4722 159.4017 165.6149 167.37469 170.3497"
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	2370	sodipodi:role="line"
	2371	id="tspan5721">(Wis)</tspan></text>
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	2376	x="0 4.0882502 7.1875 10.32125 13.4205 17.85375 19.29125 22.36175 25.609924 28.962175 32.061424"
	2377	y="0"
	2378	sodipodi:role="line"
	2379	id="tspan5725">DEATH SAVES</tspan></text>
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	2384	x="0 4.43325 6.1582499 9.2574997 10.695 14.78325 16.508249 19.987"
	2385	y="0"
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	2387	id="tspan5729">HIT DICE</tspan></text>
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	2392	x="0 4.3642502 7.7855 12.834"
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	2394	sodipodi:role="line"
	2395	id="tspan5733">NAME</tspan></text>
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	2400	x="0 3.13375 6.2329998 9.5162497 10.95375 14.352 18.73925 23.1035 27.1285"
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	2403	id="tspan5737">ATK BONUS</tspan></text>
	2404	<text
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	2406	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.75px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#969797;fill-opacity:1;fill-rule:nonzero;stroke:none"
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	2408	x="0 4.0882502 7.5095 12.558 15.9505 20.0215 23.12075 25.4725 28.571751 31.734249 34.931252"
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	2411	id="tspan5741">DAMAGE/TYPE</tspan></text>
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	2415	id="text5743"><tspan
	2416	x="0 3.073 6.8039999 8.967 12.299"
	2417	y="0"
	2418	sodipodi:role="line"
	2419	id="tspan5745">Total</tspan></text>
	2420	<text
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	2424	x="0 3.0704999 7.0955 10.57425 14.053 17.15225 20.22275 23.293249 26.3925"
	2425	y="0"
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	2427	id="tspan5749">SUCCESSES</tspan></text>
	2428	<text
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	2431	id="text5751"><tspan
	2432	x="0 2.8864999 6.3077502 8.0327501 10.879 14.904 18.261999 21.36125"
	2433	y="0"
	2434	sodipodi:role="line"
	2435	id="tspan5753">FAILURES</tspan></text>
	2436	<text
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	2438	style="font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.75px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc;writing-mode:lr-tb;fill:#000000;fill-opacity:1;fill-rule:nonzero;stroke:none"
	2439	id="text5755"><tspan
	2440	x="0 1.725 5.8132501 8.9125004 12.33375 15.18"
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	2443	id="tspan5757">IDEALS</tspan></text>
	2444	<text
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	2448	x="0 3.3982501 7.7855 12.14975 16.238001"
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	2451	id="tspan5761">BONDS</tspan></text>
	2452	<text
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	2455	id="text5763"><tspan
	2456	x="0 3.0014999 5.8477502 9.0965004 14.0645"
	2457	y="0"
	2458	sodipodi:role="line"
	2459	id="tspan5765">FLAWS</tspan></text>
	2460	<text
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	2464	x="0 3.197 6.2962499 9.6542501 12.72475 17.112 21.47625 24.897499 27.74375 29.46875 32.568001 35.730499 37.053001 40.152248 43.51025 46.931499 48.656502 51.755749"
	2465	y="0"
	2466	sodipodi:role="line"
	2467	id="tspan5769">PERSONALITY TRAITS</tspan></text>
	2468	<text
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	2470	style="font-variant:normal;font-weight:bold;font-stretch:normal;font-size:6.5px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc-Bold;writing-mode:lr-tb;fill:#000000;fill-opacity:1;fill-rule:nonzero;stroke:none"
	2471	id="text5771"><tspan
	2472	x="0 3.8675001 7.6634998 13.3705 18.33"
	2473	y="0"
	2474	sodipodi:role="line"
	2475	id="tspan5773">ARMOR</tspan></text>
	2476	<text
	2477	transform="matrix(1,0,0,-1,238.7923,614.1187)"
	2478	style="font-variant:normal;font-weight:bold;font-stretch:normal;font-size:6.5px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc-Bold;writing-mode:lr-tb;fill:#000000;fill-opacity:1;fill-rule:nonzero;stroke:none"
	2479	id="text5775"><tspan
	2480	x="0 3.9324999 7.1500001 11.0175 14.4885"
	2481	y="0"
	2482	sodipodi:role="line"
	2483	id="tspan5777">CLASS</tspan></text>
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	2487	id="text5779"><tspan
	2488	x="0 3.9324999 8.4825001 12.2785 16.074499 19.577999 24.511499 28.014999 29.639999 34.651501 36.601501 40.105 41.73 45.344002 50.303501 52.253502 57.187 60.690498"
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	2490	sodipodi:role="line"
	2491	id="tspan5781">CURRENT HIT POINTS</tspan></text>
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	2496	x="0 3.5035 7.007 12.714 16.327999 21.2875 25.0835 28.951 32.551998 36.126999 37.751999 42.7635 44.713501 48.216999 49.841999 53.456001 58.415501 60.365501 65.299004 68.802498"
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	2498	sodipodi:role="line"
	2499	id="tspan5785">TEMPORARY HIT POINTS</tspan></text>
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	2503	id="text5787"><tspan
	2504	x="0 1.95 6.8835001 8.8334999 12.337 14.287 17.8295 21.333 23.283001 27.0725"
	2505	y="0"
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	2507	id="tspan5789">INITIATIVE</tspan></text>
	2508	<text
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	2510	style="font-variant:normal;font-weight:bold;font-stretch:normal;font-size:6.5px;font-family:'Fira Sans';-inkscape-font-specification:ScalaSansOffc-Bold;writing-mode:lr-tb;fill:#000000;fill-opacity:1;fill-rule:nonzero;stroke:none"
	2511	id="text5791"><tspan
	2512	x="0 3.471 7.085 10.5885 14.092"
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	2514	sodipodi:role="line"
	2515	id="tspan5793">SPEED</tspan></text>
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	2520	x="135.6012"
	2521	y="-612.54596"><tspan
	2522	x="135.6012 138.7982 142.1562 146.54346 149.54495 151.26994 154.7487 156.47369 159.57295 163.93719 167.41595 170.57845 172.01595 175.4142 179.80145 184.1657 188.1907"
	2523	y="-612.54596"
	2524	sodipodi:role="line"
	2525	id="tspan5797">PROFICIENCY BONUS</tspan></text>
	2526	<text
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	2530	x="41.140202"
	2531	y="-648.58929"><tspan
	2532	x="41.140202 44.578701 48.049702 51.813202 55.284199 60.1852 64.7547 68.2257"
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	2534	sodipodi:role="line"
	2535	id="tspan5801">STRENGTH</tspan></text>
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	2542	x="41.481499 46.070499 49.5415 53.227001 56.698002 60.168999 63.932499 65.849998 69.320999"
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	2545	id="tspan5805">DEXTERITY</tspan></text>
	2546	<text
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	2550	x="34.292702"
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	2552	x="34.292702 38.192699 43.119701 48.020699 51.459202 54.930202 56.847702 60.318699 64.836205 68.307198 70.224701 75.151703"
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	2555	id="tspan5809">CONSTITUTION</tspan></text>
	2556	<text
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	2562	x="35.992401 37.909901 42.810902 46.281898 49.752899 52.937901 56.122902 58.040401 62.609901 66.080902 70.981895 74.881897"
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	2564	sodipodi:role="line"
	2565	id="tspan5813">INTELLIGENCE</tspan></text>
	2566	<text
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	2572	x="44.107399 49.690899 51.608398 55.046902 59.635899 64.562897"
	2573	y="-362.02692"
	2574	sodipodi:role="line"
	2575	id="tspan5817">WISDOM</tspan></text>
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	386	[2] [3] (./duality.aux) )
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duality/duality.pdf less more

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duality/duality.tex less more

112	112	syntax, one often sees codata represented as something more like
113	113
114	114	\begin{lstlisting}
115		record <dual>Both</dual> a b = <dual>{</dual> .first : a * .second : b <dual>}</dual>
	115	record <dual>Both</dual> a b = <dual>{</dual> .first : a, .second : b <dual>}</dual>
116	116
117	117	x : <dual>Both</dual> Int Bool
118		x = <dual>{</dual> .first = 2 * .second = true <dual>}</dual>
	118	x = <dual>{</dual> .first = 2, .second = true <dual>}</dual>
119	119
120	120	assert x.first == 2
121	121	assert x.second == true

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duality/missfont.log less more

	1	mktextfm pcrr7t
	2	mktextfm pcrb7t
	3	mktextfm pcrr7t
	4	mktextfm pcrr7t
	5	mktextfm pcrr7t

four-charsheets.pdf less more

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hs-requests.hs less more

	1	{-# LANGUAGE FlexibleInstances #-}
	2
	3	-- What /would/ a nicer Haskell HTTP library look like?
	4
	5	import Data.Text (Text)
	6
	7	type Header = (String, String)
	8
	9	class HttpResult t where
	10	result :: t
	11
	12	instance HttpResult Text where
	13	result = undefined
	14
	15	instance HttpResult r => HttpResult (Maybe r) where
	16	result = undefined
	17
	18	class HttpRequest t where
	19	stuff :: t
	20
	21	instance HttpResult r => HttpRequest (String -> IO r) where
	22	stuff = undefined
	23
	24	instance HttpResult r => HttpRequest (String -> [Header] -> IO r) where
	25	stuff = undefined
	26
	27	get :: HttpRequest t => t
	28	get = undefined
	29
	30	main :: IO ()
	31	main = do
	32	m0 <- get "/foo" :: IO Text
	33	m1 <- get "/foo" :: IO (Maybe Text)
	34	m2 <- get "/foo" [("Content-Type", "text/html")]:: IO (Maybe Text)
	35	return ()

lebethron-character-sheet.pdf less more

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lebethron.txt less more

	1	name: Lebethron of Angtaur (or "Leb")
	2	class: Ranger
	3	background: Outlander
	4	race: Firbolg
	5	alignment: Chaotic Good
	6
	7	stats:
	8	strength: 15 (14 + 1 [firbolg])
	9	dexterity: 17
	10	constitution: 12
	11	intelligence: 8
	12	wisdom: 17 (15 + 2 [firbolg])
	13	charisma: 10
	14
	15	speed: 30 feet [firbolg]
	16	size: medium [firbolg]
	17
	18	proficiency bonus: +2
	19	hit die: d10 [ranger]
	20	hit point maximum: 11
	21	ac: 14 (11 [leather armor] + 3 [dex modifier])
	22
	23	personality traits:
	24	- I'm always picking things up, absently fiddling with them, and sometimes accidentally breaking them. [outlander]
	25	ideals:
	26	- Life is in constant change, and we must change with it. [outlander]
	27	bonds:
	28	- I am the last of my tribe. [outlander]
	29	flaw:
	30	- Too enamored of ale, wine, and other intoxicants. [outlander]
	31
	32	languages:
	33	- common [firbolg]
	34	- elvish [firbolg]
	35	- giant [firbolg]
	36	- orkish [favored enemy]
	37	- sylvan [outlander]
	38
	39	proficiencies:
	40	- musical instrument: flute [outlander]
	41
	42	skills:
	43	- animal handling [ranger]
	44	- athletics [outlander]
	45	- perception [ranger]
	46	- stealth [ranger]
	47	- survival [outlander]
	48
	49	equipment:
	50	- leather armor [ranger]
	51	- two shortswords (1d6 piercing) [ranger]
	52	- longbow and 20 arrows (1d8 piercing) [ranger]
	53	- backpack [explorer's pack [ranger]]
	54	- bedroll [explorer's pack [ranger]]
	55	- mess kit [explorer's pack [ranger]]
	56	- tinderbox [explorer's pack [ranger]]
	57	- 10 torches [explorer's pack [ranger]]
	58	- 10 days rations [explorer's pack [ranger]]
	59	- waterskin [explorer's pack [ranger]]
	60	- 50ft hempen rope [explorer's pack [ranger]]
	61	- staff [outlander]
	62	- hunting trap [outlander]
	63	- set of traveler's clothes [outlander]
	64	- flute [purchased: 2gp]
	65	- bottle of ink [purchased: 10gp]
	66	- pen [purchased: 2cp]
	67	- journal [purchased: 25gp]
	68	- fishing tackle [purchased: 1gp]
	69	- 50ft hempen rope [purchased: 1gp]
	70	- 80.98gp (10gp [outlander] + 110gp [ranger] - purchases)
	71
	72	features & traits:
	73	- firbolg magic [firbolg]
	74	- hidden step [firbolg]
	75	- powerful build [firbolg]
	76	- speech of beast and leaf [firbolg]
	77	- favored enemy: orcs & drow [ranger]
	78	- natural explorer: underdark [ranger]
	79	- wanderer [outlander]
	80
	81	spells:
	82	- detect magic [firbolg magic]
	83	- disguise self [firbolg magic]

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letter-to-dad less more

	1	This is something I've been thinking about articulating in our conversations, but I haven't really figured out how to give the whole explanation over the phone, so I'm gonna write it instead:
	2
	3	One thing that you've said on numerous occasions is that you're proud of the fact that you're not political, you're laid-back, as long as things are good, you don't care too much, it's not important to you. I understand this point of view!
	4
	5	I also don't think it's a really commendable or desirable position, and I want to explain why.
	6
	7	As I've moved leftward politically, it's not because the principles I used to hold have ceased to be relevant for me. I still, for example, believe in the ideals of endeavouring to keep the government small, personal responsibility in various areas, private gun ownership, et cetera et cetera. One of the reasons I've moved leftward, though, is that I started to meet and talk to people who were affected by Republican policy choices, and these people are overwhelmingly more hurt by Republican policies than people are by Democrat policies.
	8
	9	Let me give a practical example: I know Obamacare has problems, and I understand that the taxes and paperwork from the ACA are difficult on people like your friends. On the other hand: before the ACA passed, Misty—a woman I love very dearly—_could not buy insurance_. I don't mean it was too expensive or difficult: I mean that, without the ACA, _literally no insurance company was willing to insure Misty because she was overweight_, and being overweight counted as a "pre-existing condition" that allowed all of them to simply deny her care. The ACA, despite its many faults, resulted in a world where the woman I love would not die because of a freak illness like she could have before.
	10
	11	Now look at current events from my point of view: the Republicans are going to repeal the ACA entirely, and are actively proud that they have no plan to reform it or replace it with another program. Now, this repeal is (according to the Congressional Budget Office) going to add an estimated $353 billion to the federal debt, destroy an estimated 2.6 million jobs across the U.S., and would allow an estimated 43,000 people to die every year that would have been otherwise covered under the ACA. On a personal level, we are choosing to go back to a world where the woman I love cannot buy her own health insurance: a world where a sudden illness at the wrong time means she might not be able to afford medical care. When the Democrats had their way, people were annoyed by paperwork and taxes; now that the Republicans have their way, people will literally die (and it doesn't even actually save money in the long term: most Americans taxes will go up because of the repeal!)
	12
	13	I _don't_ think the ACA is a _great_ piece of legislation. I think it had a lot of problems, and I had hoped that the Republicans would have chosen incremental reform, or maybe replacement with something leaner that accomplished similar goals. But unfortunately, the last eight years have resulted in a reactionary hatred of Obama that goes beyond compassion for citizens or even good sense, so the only result that Republican leadership will accept is a complete repeal. (This is, of course, despite the fact that a majority of the country—even, according to a recent poll, a majority of Fox News viewership!—supports the ACA.)
	14
	15	Now, there are two sides to this situation: on one hand, government overreach and taxes and paperwork; on the other, people dying. In this situation, what does it mean to stay 'neutral', to assert that you're 'not partisan' in this issue? It means—in practical terms to me—that you're as okay with the world where Misty is safe as you are with the world where she's at risk of dying from an ill-timed sickness. At best, asserting you're 'somewhere in the middle' evinces a lazily symmetrical worldview, and probably means that you're okay with some taxes but also some people dying.
	16
	17	There are a lot of situations today where the Republicans are doing things I think are reprehensible: for example, Ted Cruz is sponsoring the "First Amendment Defense Act", which means that people don't have to do their jobs if they object to serving someone for "religious or ethical reasons", which is a weaselly way of saying, "people can choose not to do their job if they don't want to serve gay people." It takes all the teeth out of federal non-discrimination laws: if a business chooses not to serve gays, and they claim to have some (even non-religious!) reason to, then the law stipulates that the federal government MUST defend them.
	18
	19	What does it mean to refuse to take a stand here, to say, 'I don't really care'? It means that you're as okay with a world where a doctor refuses a queer man treatment because he doesn't like LGBT people, as you are with a world where that man is guaranteed treatment. Maybe you'd prefer a middle ground: a doctor can avoid treating queer people as long as the doctor _really_ doesn't like them? The doctor has a limited number of 'religious exceptions' to treating queer people?
	20
	21	Now, there are definitely places where a reasoned middle ground makes sense, but when a political struggle consists of people on one side saying, "I should be allowed to survive," and people on the other side saying, "I should be allowed to do whatever I want, even if it means those on the other side won't survive," then I don't think that staying neutral is an ethically tenable position: it's a tacit way of accepting that the first group's right to stay alive is 'just an opinion', something that you can reasonably disagree with.

+113

-95

posts/codata less more

1	1	# Data
2	2
3		In most statically-typed functional languages like ML or Haskell, the primary
4		mechanism you have for data types is _named sums_. There are two important
5		aspects of data types in general: the way you construct them, and the way
6		you destruct them. Let's start with constructing them. (I'm going to use a
7		pseudocode in this post that most closely resembles Idris, but is not
8		supposed to be any particular language.)
9
10		To define a type `T`, one will list the possible constructors and their
11		arguments:
12
13		data T = I Int \| B Bool
14
15		This example gives you two possible constructors, `MyInt` and `MyBool`,
16		which you can think of as defining a type and two functions:
17
18		T : Type
19		I : Int -> T
20		B : Bool -> T
21
22		In addition to those, you also get the ability to destruct values created
23		with those constructors, which is done using the `case` construct.
24		`case` allows you to determine which constructor was used
25		to create a particular datum of type `MyType`:
26
27		f : T -> Int
28		f e =
29		case e of
30		I i -> i
31		B b -> if b then 1 else 0
	3	In most statically-typed functional languages like ML or Haskell, the
	4	primary mechanism you have for data types is _named sums_. There are
	5	two important aspects of data types in general: the way you
	6	_construct_ them, and the way you _destruct_ them. Let's start with
	7	how you construct them.
	8
	9	To define a type `T`, you generally list its possible constructors and
	10	their arguments:
	11
	12	```
	13	data T = I Int \| B Bool
	14	```
	15
	16	This example type gives you two possible constructors, `MyInt` and
	17	`MyBool`. Equivalently, you can think of this as defining a type `T`
	18	and two injector functions, `I` and `B`:
	19
	20	```
	21	T : Type
	22	I : Int -> T
	23	B : Bool -> T
	24	```
	25
	26	But that's not just what you get, because also need to be able to
	27	_destruct_ the data in some way. Using the `case` construct, you can
	28	determine _which_ constructor was used to create a particular datum of
	29	type `MyType`, and extract out the pieces of data that were packed
	30	into it:
	31
	32	```
	33	f : T -> Int
	34	f e = case e of
	35	I i -> i
	36	B b -> if b then 1 else 0
	37	```
	38
	39	If we look at these definitions, it should be clear that
	40
	41	```
	42	f (I n) == n
	43	```
	44
	45	and that
	46
	47	```
	48	f (B b) == if b then 1 else 0
	49	```
	50
	51	All the constructors `I` and `B` do is inject data, and all the `f`
	52	function does is extract the data from the type and (in the case of
	53	`B`) a trivial computation.
32	54
33	55	# Codata
34	56
35		So: data is defined by its constructors. What's the opposite of data?
36		Why, codata, of course! And if data is defined using constructors, then
37		codata is defined using destructors.
38
39		What does this mean? Consider the following codata declaration in a hypothetical
40		version of Haskell:
41
42		codata T' = I' Int & B' Bool
43
44		This gives you two possible _destructors_, `I'` and `B'`, which means
45		you can think of them as two functions
46
47		I' : T' -> Int
48		B' : T' -> Bool
49
50		They're not constructors, they're _accessor_ functions. How do we create a
51		value, then? Using the dual of `case`, which I will call `merge`:
52
53		f' : Int -> T'
54		f' e =
55		merge
56		I <- e
57		B <- if e == 1 then True else False
58
59		How do we interpret this snippet of code? This creates a function `f'` which
60		takes an integer and returns a value of type `MyType'` (the opposite of what
61		`f` does using `case`.) The `merge` construct lists each possible destructor,
62		and then the value that will be returned when that destructor is called on it.
63
64		Now, you might have noticed that this isn't exactly dual. When we use a
65		`case` construct, we are _dispatching on the history of a value_, which
66		means we can _pattern-match over the constructor_. When we use merge as above,
67		we're just listing
68
69		f' :: Int -> MyType'
70		f' e =
71		merge' e with
72		MyInt <- (λi.i)
73		MyBool <- (λi. if i == 1 then True else False)
74
75		Let's look at a few trivial examples to see how these two ways of defining
76		data are dual. If we have a data definition with a single constructor
77
78		data X = X Int
79
80		then it follows that
81
82		i == case' (X i) of X -> (λj. j)
83
84		i.e. if we construct and then destruct a value, then it's the same as having
85		done nothing. We can assert the corresponding inside-out equivalence for
86		codata:
87
88		codata X' = X' Int
89		i == X' (merge' i with X' <- (λj. j))
90
91		Where data naturally maps to sums, codata naturally maps to products. In
92		an ML-like language, we can easily define the basic sum type `a + b` in terms
93		of the named-sum mechanism
	57	So: data is generally defined by listing its constructors. What's the
	58	opposite of data? Why, codata, of course! And if data is defined
	59	using constructors, then codata is defined using its _destructors_.
	60	In this case, a _destructor_ is effectively an accessor to a piece of
	61	data: some way of taking a value of a codata type and pulling useful
	62	information from it.
	63
	64	Consider the following pseudocode codata declaration:
	65
	66	```
	67	codata CT = CI Int & CB Bool
	68	```
	69
	70	This gives you a type as well as two possible _destructors_, `CI'` and
	71	`CB`, which means you can think of them as two functions:
	72
	73	```
	74	CT : Type
	75	CI : CT -> Int
	76	CB : CT -> Bool
	77	```
	78
	79	They're not constructors, they're _accessor_ functions. How do we
	80	create a value, then? Let's invent a dual form of `case`, which I'll
	81	call `merge`. Instead of listing each possible constructor and
	82	dispatching on it, we'll list each possible _destructor_, and
	83	associate it with a value.
	84
	85	cf : Int -> CT
	86	cf e = merge
	87	CI <- e
	88	CB <- if e /= 0 then True else False
	89
	90	How do we interpret this snippet of code? This creates a function `f'`
	91	which takes an integer and returns a value of type `MyType'` (the
	92	opposite of what `f` does using `case`.) The `merge` construct lists
	93	each possible destructor, and then the value that will be returned
	94	when that destructor is called on it.
	95
	96	We can do the same algebraic manipulations as above, but this time
	97	with the accessors. It should be the case that
	98
	99	```
	100	CI (cf n) == n
	101	```
	102
	103	and also that
	104
	105	```
	106	CB (cf n) == if n /= 0 then True else False
	107	```
	108
	109	Where data naturally maps to sums, codata naturally maps to
	110	products. In an SML-like language, we can easily define the basic sum
	111	type `a + b` in terms of the named-sum mechanism
94	112
95	113	data a :+: b = InL a \| InR b
96	114
97		but cannot do the same with products, as all constructors of a type `T` must
98		be of the form `a -> T` for some specific `a`—consequently, we cannot define
99		a product type using this named-sums mechanism unless we already have a
100		product type. (In Haskell, we can, because Haskell allows its constructors
101		to be curried, so a constructor of the form `a * b -> T` can be curried to
102		`a -> b -> T`, but let us restrict ourselves to single-argument constructors
103		for this discussion.)
	115	but cannot do the same with products, as all constructors of a type
	116	`T` must be of the form `a -> T` for some specific `a`—consequently,
	117	we cannot define a product type using this named-sums mechanism unless
	118	we already have a product type. (In Haskell, we can, because Haskell
	119	allows its constructors to be curried, so a constructor of the form `a
	120	* b -> T` can be curried to `a -> b -> T`, but let us restrict
	121	ourselves to single-argument constructors for this discussion.)
104	122
105	123	In a language with this `codata` mechanism, we could easily define that
106	124	product type in terms of its two destructors:

+205

-0

posts/data-files-and-backpack.md less more

	1	One pain point for certain Haskell programs is Cabal's `data-files`
	2	feature, which is awkward and weird, especially when it comes to
	3	_libraries_ which make use of data files. I mentioned to a coworker
	4	that, once the
	5	[lightweight module system Backpack](http://plv.mpi-sws.org/backpack/)
	6	is implemented in Haskell, we could tackle a `data-files` mechanism
	7	in a more convenient way by using module-level mixins. Just for
	8	general reference, I'll sketch out what that might look like below.
	9
	10	I should stress that I'm describing a possible solution, and not
	11	the solution. I'm by no means indicating that this is the best way
	12	of solving the problems with data files, and I have absolutely no
	13	indication that anyone else would want to solve the problem like this.
	14	That said, I think this is an interesting and motivated design, and
	15	I'd be happy to discuss its strengths and weaknesses as well as other
	16	possible designs that address the same issues.
	17
	18	Right now, I'm using Edward Yang's blog post
	19	[A Taste Of Cabalized Backpack](http://blog.ezyang.com/2014/08/a-taste-of-cabalized-backpack/)
	20	as my primary guide to Backpack-in-practice. I don't have a Backpack-enabled
	21	GHC and Cabal on hand, and so I haven't actually _run_ any of this: this should
	22	right now be treated effectively as pseudocode. I also assume familiarity with
	23	Cabal's data files support; if you're in need of an introduction
	24	or a refresher, you should read the post
	25	[Adding Data Files Using Cabal](http://neilmitchell.blogspot.com/2008/02/adding-data-files-using-cabal.html).
	26
	27	## An Abstract Signature for Data Files
	28
	29	In our hypothetical Backpack-enabled-data-files-support future, we
	30	start by creating a _signature_ that corresponds to
	31	the generated `Paths_whatever` module. To this end, we can create
	32	an `.hsig` file with a declaration like this:
	33
	34	```.haskell
	35	module Dist.DataFiles (getDataFileName) where
	36	getDataFileName :: FilePath -> IO FilePath
	37	```
	38
	39	This defines an abstract module called `Dist.DataFiles` that
	40	exposes a single function, `getDataFileName`, with no actual
	41	implementation. We can expose this signature by creating
	42	a package, `data-files-sig`, that exposes only this signature:
	43
	44	```
	45	name: data-files-sig
	46	version: 1.0
	47	indefinite: True
	48	build-depends: base
	49	exposed-signatures: Dist.DataFiles
	50	```
	51
	52	This would be a standard package—maybe even part of `base`—that
	53	can be consistently and universally relied on by libraries that
	54	require some kind of data file support.
	55
	56	## Creating A Library With Data Files
	57
	58	Now, let's create a library that needs a data file. In this case,
	59	the library will do nothing but read and return the contents of
	60	that data file:
	61
	62	```.haskell
	63	module Sample.Library (getSampleFile) where
	64
	65	import Dist.DataFiles (getDataFileName)
	66
	67	getSampleFile :: IO String
	68	getSampleFile = getDataFileName "sample-file" >>= readFile
	69	```
	70
	71	Now we need to create a corresponding `.cabal` file for this
	72	library. Because we're using `Dist.DataFiles`, we need to import
	73	that signature from the `data-files-sig` module.
	74	Importantly, we still don't have an
	75	_implementation_ for `getDataFileName`. Because of that, our
	76	package is still abstract, or in Backpack-speak, `indefinite`:
	77
	78	```
	79	name: sample-library
	80	indefinite: True
	81	build-depends: base, data-files-sig
	82	exposed-modules: Sample.Library
	83	```
	84
	85	## Depending On A Library With Data Files
	86
	87	In order to write an application that uses `sample-library`, we
	88	need to give it a module that's a concrete implementation of the
	89	`Dist.DataFiles` signature. In this case, let's create an
	90	implementation manually as part of our application.
	91
	92	First, let's write a small application that uses `sample-library`:
	93
	94	```.haskell
	95	module Main where
	96
	97	import Sample.Library (getSampleFile)
	98
	99	main :: IO ()
	100	main = getSampleFile >>= putStrLn
	101	```
	102
	103	We still don't have that concrete implementation for `getDataFileName`,
	104	though, so let's write a simple module that exports the same name with
	105	the same type:
	106
	107	```.haskell
	108	module MyDataFilesImpl (getDataFileName) where
	109
	110	import System.FilePath ((</>))
	111
	112	getDataFileName :: FilePath -> IO FilePath
	113	getDataFileName path = pure
	114	("/opt/sample-application" </> path)
	115	```
	116
	117	Now, when we write our `.cabal` file for this application, we also
	118	need to specify we want to use `MyDataFilesImpl` as the concrete
	119	implementation of `Dist.DataFiles` for `sample-library`. That
	120	means our `.cabal` file will look like this:
	121
	122	```
	123	name: sample-application
	124	build-depends:
	125	base,
	126	filepath,
	127	sample-library (MyDataFilesImpl as Dist.DataFiles)
	128	```
	129
	130	Now, all our abstract signatures are filled in, so this application
	131	is no longer `indefinite`, and we as developers have a convenient
	132	way of telling `sample-library` where we want it to look for its
	133	data files. In fact, one advantage of this system for data files
	134	is that we could import two libraries that both depend on the
	135	`Dist.DataFiles` signature but tell them to look in two different
	136	places for their data files, like this:
	137
	138	```
	139	name: other-application
	140	build-depends:
	141	base,
	142	lib-one (OneDataFilesImpl as Dist.DataFiles),
	143	lib-two (AnotherDataFilesImpl as Dist.DataFiles)
	144	```
	145
	146	If there are reasonable default implementations for `Dist.DataFiles`,
	147	we could also put those on Hackage and reuse them in much the
	148	same way.
	149
	150	## A Final Sprinkling Of Magic
	151
	152	In this case, I'm still missing a major part of Cabal's `data-files`
	153	support: namely, we want to shunt the responsibility from the
	154	developer to Cabal, so that we have support for things like
	155	relocatable builds. So in a final bit of handwaving, let's
	156	stipulate that our tooling in this hypothetical future
	157	has a special case to deal with applications that
	158	expose an indefinite `Dist.DataFiles` signature: Cabal could notice
	159	this situation, and fill those signagures in with sensible implementations
	160	based on the commands and configurations we're using.
	161
	162	For example, if my `.cabal` file for `sample-application` above
	163	_didn't_ supply a concrete implementation for `Dist.DataFiles`, then
	164	a default one could be chosen for development that's equivalent to:
	165
	166	```.haskell
	167	-- as automatically generated by cabal
	168	module Dist.DataFiles (getDataFileName) where
	169
	170	getDataFileName :: FilePath -> IO FilePath
	171	getDataFileName = pure
	172	```
	173
	174	That is, the application will just look for the file in the
	175	current directory.
	176
	177	If the developer started preparing the package for release, and
	178	changed the configuration appropriately, then the automatically
	179	generated `getDataFileName` could be modified to reflect that,
	180	replacing the automatically generated code with something more
	181	like
	182
	183	```.haskell
	184	-- as automatically generated by cabal
	185	module Dist.DataFiles (getDataFileName) where
	186
	187	import System.FilePath ((</>))
	188
	189	getDataFileName :: FilePath -> IO FilePath
	190	getDataFileName path =
	191	pure ("/usr/share/sample-application" </> path)
	192	```
	193
	194	This would be admittedly a little bit "magical", but it would
	195	be a small and easy-to-explain bit of magic, and it would have
	196	the advantage of affording a kind of flexibility that the
	197	current approach to data files lacks.
	198
	199	## Is This How It's Actually Gonna Work?
	200
	201	Probably not! Backpack is still a ways out, and this would
	202	require opt-in from many parts of the Haskell ecosystem, and
	203	the problem it solves could probably also be solved in numerous
	204	other ways I haven't considered. But this post describes a
	205	point in the design space that I think is at least worth weighing!

+155

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posts/higher-rank-trait-bounds.md less more

	1	Over the weekend, a friend of mine who is currently learning Rust
	2	asked me a question. He was using [`serde`](https://serde.rs/) for
	3	serialization, and he wanted a single function that took a file path
	4	as argument, opened the file, deserialized it as a particular type,
	5	and returned that value, where the return type could be inferred from
	6	context. (For this example, I'm going to ignore error-handling and
	7	just use `.unwrap()` to bail out on failures.) I hadn't used `serde`
	8	much myself, so I briefly assumed the function in question would just
	9	look like this:
	10
	11	```.rust
	12	fn load_from_file<T>(path: String) -> T
	13	where
	14	T: serde::Deserialize
	15	{
	16	let mut file = File::open(path).unwrap();
	17	serde_json::from_reader(&mut file).unwrap()
	18	}
	19	```
	20
	21	But it wasn't quite so easy, and, like most of the trickier parts of
	22	Rust, the problem is that lifetimes can be tricky. The
	23	`serde::Deserialize` trait takes a single parameter: a lifetime which
	24	corresponds to the lifetime _of the input source_. In the above
	25	function, the input source is file from which we're reading, but it
	26	might also be a `str` (using the `from_str` function) or a slice of
	27	bytes (using the `from_slice` function). In any case, the deserializer
	28	needs to know how long its input source lives, so we can make sure
	29	that the input source doesn't get suddenly closed or freed while it's
	30	in the middle of parsing.
	31
	32	Okay, that means we need a lifetime parameter to give to
	33	`serde::Deserialize`. Let's try the obvious thing and add a lifetime
	34	parameter to the signature of the function:
	35
	36	```.rust
	37	fn load_from_file<'de, T>(path: String) -> T
	38	where
	39	T: serde::Deserialize<'de>
	40	{
	41	let mut file = File::open(path).unwrap();
	42	serde_json::from_reader(&mut file).unwrap()
	43	}
	44	```
	45
	46	This looks nice at a glance, but it doesn't compile! You can plug this
	47	code snippet into `rustc` and it will (with its characteristic
	48	helpfulness) suggest exactly the correct code to write. But I'm less
	49	interested here in _what_ to write, and more in _why_ we're writing
	50	it: why does this not work, and why does the suggested fix work?
	51
	52	# What Do Generic Parameters Mean?
	53
	54	Let's step back to very basic Rust: when you have a generic parameter
	55	to (say) a function, what you're saying is that you want that
	56	particular implementation detail to be supplied by the _use_ of the
	57	function. Here's an incredibly trivial example: I can write a
	58	polymorphic identity function, a function that simply returns the
	59	value given it, by giving it a type parameter like this:
	60
	61	```.rust
	62	fn identity<T>(x: T) -> T { x }
	63	```
	64
	65	When we _use_ the `identity` function with a value of a particular
	66	type—say, by calling `identity(22u32)`—we're also implicitly providing
	67	a concrete choice for the type `T`, which it can infer from the type
	68	of the argument. Rust also allows us to pass this type parameter
	69	explicitly, with the slightly unwieldy syntax
	70	`identity::<u32>(22)`. Either way, the use site of `identity` provides
	71	the information necessary to choose a concrete type `T`.
	72
	73	The same goes for lifetime parameters: when we write a function like
	74
	75	```.rust
	76	fn ref_identity<'a, T>(x: &'a T) -> &'a T { x }
	77	```
	78
	79	what we're saying is that the reference we're taking as argument lives
	80	_some_ amount of time, but that amount of time is going to be known at
	81	the call site, and it'll get that information inferred from individual
	82	uses of `ref_identity`. When we call `ref_identity(&foo)`, we're
	83	saying that the lifetime parameter `'a` is going to be however long
	84	`foo` lives in that context.
	85
	86	# Back to `load_from_file`
	87
	88	Okay, so with that, let's look at the our first pass at writing
	89	`load_from_file`:
	90
	91	```.rust
	92	fn load_from_file<'de, T>(path: String) -> T
	93	where
	94	T: serde::Deserialize<'de>
	95	{
	96	let mut file = File::open(path).unwrap();
	97	serde_json::from_reader(&mut file).unwrap()
	98	}
	99	```
	100
	101	What's the problem here? Well, our type doesn't actually reflect what
	102	the body of our function does. Remember that the lifetime parameter we
	103	give to `Deserialize` corresponds to the lifetime of the input source
	104	to the deserializer, and we already know the lifetime of our source:
	105	it's the lifetime of our `file` variable. That lifetime isn't
	106	something we need to get from the caller—for that matter, it's not a
	107	piece of information that the caller would even have access to!
	108	Expressing that as a parameter in this instance is blatantly
	109	incorrect.
	110
	111	…but then we've got a problem, because we need _something_ to give
	112	`Deserialize` as the lifetime parameter, and Rust doesn't have a way
	113	of expressing, "The lifetime of _this variable here in the scope I am
	114	currently defining_." We're caught: we need some lifetime parameter
	115	there, but it can't be an argument, and we can't name the specific
	116	individual lifetime that we know it should be.
	117
	118	So instead, one way of writing this is by saying, "This works for
	119	_any_ lifetime we might care to give it." The difference here is
	120	subtle but important: we aren't expressing the notion of "any lifetime
	121	you, the caller, want to give me", we are expressing the notion of
	122	"any lifetime _at all_."
	123
	124	It turns out that Rust has a syntax for this, which uses the `for`
	125	keyword:
	126
	127	```.rust
	128	fn load_from_file<T>(path: String) -> T
	129	where
	130	T: for<'de> serde::Deserialize<'de>
	131	{
	132	let mut file = File::open(path).unwrap();
	133	serde_json::from_reader(&mut file).unwrap()
	134	}
	135	```
	136
	137	If we try this, this function now works. And notice that the type
	138	parameter list now includes only one thing: the `T` type that we're
	139	deserializing to, which is exactly what we want!
	140
	141	The key here is the `for<'a> T` syntax: the `for` acts as a binder for
	142	one or more fresh lifetime parameters, which are then used in the
	143	following type. Here, we're introducing a new `'de` lifetime and then
	144	filling that in in `Deserialize`. Importantly, this lifetime is now
	145	quantified over _all possible_ lifetimes, not merely a lifetime that
	146	the calling context might supply. And of course, 'all possible
	147	lifetimes' includes the lifetime of the `file` variable inside the
	148	function!
	149
	150	The `for<'a> T` syntax is a feature
	151	called
	152	[Higher-Ranked Trait Bounds](https://doc.rust-lang.org/nomicon/hrtb.html#higher-rank-trait-bounds-hrtbs)
	153	and this feature was specifically necessary to support
	154	[unboxed closures](https://github.com/rust-lang/rfcs/blob/master/text/0387-higher-ranked-trait-bounds.md),
	155	but it ends up being useful in other situations—like this one!

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	1	Some half-baked thoughts on language design:
	2
	3	Functional programming is a ⏎

+363

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posts/resources-laziness-and-cps.md less more

	1	This is a question posed by Aaron Levin on Reddit:
	2
	3	> In WAI, Application has the type
	4	> `Request -> (Response -> IO ResponseReceived) -> IO ResponseReceived`.
	5	> There is a note about how historically this was
	6	> `Request -> ResourceT IO Response`.
	7	> There is the following note on Hackage about this change:
	8	>
	9	> > Note that, since WAI 3.0, this type is structured in continuation passing
	10	> > style to allow for proper safe resource handling. This was handled in the
	11	> > past via other means (e.g., ResourceT).
	12	>
	13	> A naive implementation might have `type Application = Request -> IO Response`.
	14	> I would assume one could still handle appropriate resource cleanup (both on
	15	> the client side and on the Wai/warp side) in this naive implementation, but
	16	> I'm assuming I'm wrong in thinking that. So:
	17	>
	18	> 1. Why is Application defined in CPS style?
	19	> 2. Is there an example of how resources cannot be cleaned up appropriately
	20	> using a naive implementation above?
	21	> 3. Are there other reasons for the CPS style? (E.g. allows for more
	22	> efficiency as network resources can be freed while your handler is running)
	23
	24	Like
	25	[my last post](http://blog.infinitenegativeutility.com/2016/7/writer-monads-and-space-leaks),
	26	this is a piece of folklore that's been described in papers, mailing lists, &c,
	27	but I don't know of a single resource to point people to, so I'll explain it
	28	here. Unlike my last post, I'll do it operationally!
	29
	30	I'm gonna explain some preliminary details about laziness, the `trace` function,
	31	and the `bracket` function; if you're already familiar with these, go ahead and
	32	skip to the section [A Naïve Application Type](#a-naïve-application-type).
	33
	34	# Some Preliminary Explanations
	35
	36	A big part of this post involves the fact that Haskell is lazy: when we write
	37	something in Haskell, it won't be evaluated until it's absolutely necessary
	38	that it be ready—which might be never! For example, an expression like
	39
	40	~~~{.haskell}
	41	>>> let f x y = x in f 5 undefined
	42	5
	43	~~~
	44
	45	will happily ignore our use of `undefined` and return the value we wanted. If
	46	we want to _make sure_ that a given expression is evaluated, we need to
	47	use it somehow. One way of using is to pattern-match on it: that needs to
	48	evaluate it at least enough that we know what the outermost layer of data
	49	looks like. Let's change the above example a little bit:
	50
	51	~~~{.haskell}
	52	>>> let f x y = case y of { () -> x } in f 5 undefined
	53	*** Exception: Prelude.undefined
	54	~~~
	55
	56	Now, we're pattern-matching on the `y` value, which _forces_ it to—that is,
	57	it causes it to be evaluated before we can evaluate the branch associated
	58	with that `case`-expression.
	59
	60	In general—with the exception of code that loops forever, or inherently
	61	unsafe values like `undefined`—this should be a detail we don't notice!
	62	In pure code that doesn't loop forever, evaluation order doesn't matter
	63	at all, and imperative code in Haskell uses monads like `IO`. Because
	64	each step in a monad has to be evaluated before the next step can proceed,
	65	those computations appear to be strict, and the evaluation order of other
	66	computations is largely opaque.
	67
	68	However, Haskell has a few features we can use to peek into what's going
	69	on under the surface. One of them is the `trace` function, found in `Debug.Trace`,
	70	which has the signature
	71
	72	~~~{.haskell}
	73	trace :: String -> a -> a
	74	~~~
	75
	76	This takes a string and any other value, and will print the string
	77	_as soon as the value is forced_, not before, not after. That makes it
	78	of sometimes questionable utility for debugging, as there's no guarantee
	79	that `trace` will even run, much less run at the point we expect!
	80
	81	~~~{.haskell}
	82	>>> let f x y = x in f 5 (trace "Hello!" undefined)
	83	5
	84	~~~
	85
	86	But because `trace` will print _exactly when_ when its result is needed,
	87	we can use it to peek into how Haskell chooses to evaluate our code.
	88
	89	# Bracketing for Resources
	90
	91	The module `Control.Exception.Base` exports a function called `bracket`:
	92
	93	~~~{.haskell}
	94	bracket :: IO a -> (a -> IO b) -> (a -> IO c) -> IO c
	95	~~~
	96
	97	This function is used for managing resources that we need to clean up,
	98	like file handles or large pieces of data we don't want to keep in
	99	memory. The first argument is an `IO` computation that produces a
	100	resource, the second one is the cleanup function for that resource,
	101	and the third one is a function that uses that resource to produce a
	102	value prior to cleanup:
	103
	104	~~~{.haskell}
	105	main :: IO ()
	106	main = bracket
	107	(openFile "tmp.txt" ReadMode) -- opening a resource: here, a file
	108	hClose -- closing the resource
	109	(\ handle -> do -- what to do with the resource
	110	contents <- hGetContents handle
	111	putStrLn contents)
	112	~~~
	113
	114	The common function `withFile` is implemented straightforwardly
	115	in terms of `bracket` almost exactly like I used it above. The
	116	major utility of `bracket` is that it knows how to correctly handle
	117	exceptions that occur while running computations: if an exception
	118	gets raised while the resource is being used, it will nevertheless
	119	ensure that the resource gets closed appropriately.
	120
	121	# A Naïve Application Type
	122
	123	Let's try writing a toy version of WAI that doesn't actually do
	124	anything. We're going to pretend that we're writing some kind of
	125	server where some responses might depend on scarce resources,
	126	so we want to clean up that resource as soon as we can.
	127
	128	Let's start with importing the functions above and
	129	defining some dummy types:
	130
	131	~~~{.haskell}
	132	import Control.Exception.Base (bracket)
	133	import Debug.Trace (trace)
	134
	135	-- Our dummy requests and responses
	136	data Request = Request
	137	data Response = Response
	138
	139	-- Our dummy resource
	140	data SomeResource = SomeResource
	141
	142	-- Our naive @App@ type
	143	type App = Request -> IO Response
	144	~~~
	145
	146	Let's write our `App` handler first. Because we're trying to mimic a
	147	real application, we pattern-match on the `Response` value to force
	148	Haskell to evaluate it before returning:
	149
	150	~~~{.haskell}
	151	runApp :: App -> IO ()
	152	runApp app = do
	153	response <- app Request
	154	case response of
	155	Response -> putStrLn "Sending response"
	156	~~~
	157
	158	Now, let's create an `App` that uses some "resource". In this case, I'm
	159	going to fake it, of course. Additionally, I'm going to include a call
	160	to `trace` so that we can be sure of when our `Response` actually
	161	gets evaluated:
	162
	163	~~~{.haskell}
	164	myApp :: App
	165	myApp request = bracket createResource destroyResource respond
	166	where createResource = do
	167	putStrLn "Creating resource"
	168	return SomeResource
	169	destroyResource _ = do
	170	putStrLn "Destroying resource"
	171	respond SomeResource = do
	172	return (trace "EVALUATING RESPONSE" Response)
	173	~~~
	174
	175	And now let's wrap this all up:
	176
	177	~~~{.haskell}
	178	main :: IO ()
	179	main = runApp myApp
	180	~~~
	181
	182	When I run this program on my machine here's what I get:
	183
	184	~~~
	185	$ runhaskell myapp.hs
	186	Creating resource
	187	Destroying resource
	188	EVALUATING RESPONSE
	189	Sending response
	190	~~~
	191
	192	What does this mean? Well, this means that we end up destroying
	193	the resource we are trying to use _even before the response gets
	194	constructed_. That's not good! In this case, the resource is just
	195	a dummy value, but if it were instead, say, a file handle, then this
	196	program would close the file handle before we ever tried to read from
	197	it!
	198
	199	But we're using `bracket` and everything! That _should_ mean that
	200	the action we're passing to `bracket`—the `respond` function we
	201	defined up above—should run before the resource gets destroyed!
	202	Shouldn't it?
	203
	204	As a matter of fact, it is. The `IO` action is getting run, and the `IO`
	205	steps are getting evaluated eagerly. If we rewrite the `myApp` function
	206	slightly to insert a print statement there
	207
	208	~~~{.haskell}
	209	myApp' :: App
	210	myApp' request = bracket createResource destroyResource respond
	211	where createResource = do
	212	putStrLn "Creating resource"
	213	return SomeResource
	214	destroyResource _ = do
	215	putStrLn "Destroying resource"
	216	respond SomeResource = do
	217	putStrLn "Responding to request" -- A new print statement
	218	return (trace "EVALUATING RESPONSE" Response)
	219	~~~
	220
	221	and then run it again, we'll see that the `respond` function _is_ getting
	222	properly bracketed between resource creation and destruction:
	223
	224	~~~
	225	$ runhaskell myapp.hs
	226	Creating resource
	227	Responding to request
	228	Destroying resource
	229	EVALUATING RESPONSE
	230	Sending response
	231	~~~
	232
	233	The problem is that while `IO` steps are evaluated eagerly, the values
	234	that get `return`ed are subject to the normal rules of laziness:
	235	_they aren't forced until we use them_. In this case, we don't actually
	236	force the `Response` value until the `case`-expression in `runApp`,
	237	which doesn't happen until after the entire `myApp` function—`bracket`
	238	and all—has finished running.
	239
	240	So the _problem_ is that, while `bracket` can ensure that `IO` actions
	241	are properly bookended with resource-related code, it can't make the
	242	same guarantees with respect to the _values_ inside it. We need some
	243	way of forcing the value _before_ the cleanup code gets run. We can
	244	rewrite `myApp` to do this:
	245
	246	~~~{.haskell}
	247	myStricterApp :: App
	248	myStricterApp request = bracket createResource destroyResource respond
	249	where createResource = do
	250	putStrLn "Creating resource"
	251	return SomeResource
	252	destroyResource _ = do
	253	putStrLn "Destroying resource"
	254	respond SomeResource = do
	255	putStrLn "Responding to request" -- A new print statement
	256	let response = trace "EVALUATING RESPONSE" Response
	257	case response of -- pattern-match to force evaluation
	258	Response -> return response
	259	~~~
	260
	261	This produces the output we want:
	262
	263	~~~
	264	$ runhaskell myapp.hs
	265	Creating resource
	266	Responding to request
	267	EVALUATING RESPONSE
	268	Destroying resource
	269	Sending response
	270	~~~
	271
	272	But this has a lot of drawbacks: it's ugly, it inserts apparently
	273	extraneous case statements, and I've papered over the fact that, if we
	274	had a more complicated data structure, we'd need to force evaluation of
	275	_the entire thing_, not just the outermost structure. But even worse, it's
	276	not a general solution: WAI is a library that exports the equivalent of
	277	`runApp` and expects users to write the equivalent of `myApp`, which means
	278	we'd be forcing every single user to _remember_ to force their `Response`
	279	values. If a user forgets to insert the ugly and opaque code, then their
	280	program might start crashing or—even worse—running but nonsensical results.
	281	What we want is some way of _ensuring_ that any `App` _must_ force its
	282	`Response` before cleaning up any resources.
	283
	284	# CPS To The Rescue
	285
	286	The core idea of continuation-passing is that a continuation is a function
	287	that represents "what to do next": a continuation is a callback function
	288	that expects the result of some computation. Let's rewrite our program
	289	but with an `App` type that looks like the CPS-ey type WAI actually uses:
	290
	291	~~~{.haskell}
	292	-- Our modified @App@ type
	293	type App = Request -> (Response -> IO ()) -> IO ()
	294	~~~
	295
	296	Now, our `App` takes two arguments—the `Request`, as before, as well as
	297	a function that takes a `Response` and produces an `IO` action. The logic
	298	of "sending" the response now gets moved into the callback function we
	299	pass to the `App`:
	300
	301	~~~{.haskell}
	302	runApp :: App -> IO ()
	303	runApp app =
	304	app Request
	305	(\ response -> case response of
	306	Response -> putStrLn "Sending response")
	307	~~~
	308
	309	Our implementation of `myApp` is _almost_ the same, except we take an
	310	extra callback parameter, and instead of returning our `Response`, we
	311	pass it to that callback:
	312
	313	~~~{.haskell}
	314	myApp :: App
	315	myApp request cb = bracket createResource destroyResource respond
	316	where createResource = do
	317	putStrLn "Creating resource"
	318	return SomeResource
	319	destroyResource _ = do
	320	putStrLn "Destroying resource"
	321	respond SomeResource = do
	322	cb (trace "EVALUATING RESPONSE" Response)
	323	~~~
	324
	325	If I run _this_ version of the program, I get this output:
	326
	327	~~~
	328	$ runhaskell myapp.hs
	329	Creating resource
	330	EVALUATING RESPONSE
	331	Sending response
	332	Destroying resource
	333	~~~
	334
	335	This is much better! This _ensures_ that the resource outlives the
	336	`Response`, and because now the callback is responsible for forcing
	337	the `Response`, it can guarantee that it gets done. This lets us
	338	ensure that propery of _any_ `App`! This is something we _couldn't_
	339	ensure with the previous one, because it would have required some
	340	way of reaching "inside" the `App` to force the return value. By
	341	having a callback that the user has to call, we can force it ourselves
	342	without having to hope that the user does!
	343
	344	…well, except there's that remaining little issue: using the
	345	implementation above, the user doesn't _have_ to call the callback,
	346	so we could write an `App` that produces no `Response` at all:
	347
	348	~~~{.haskell}
	349	myBadApp :: App
	350	myBadApp _ _ = return ()
	351	~~~
	352
	353	We can fix this by creating a new type—WAI calls it `ResponseReceived`—and
	354	hiding every way to construct it except using the callback. That way, the user
	355	has to use the callback _at least_ once in order to get a `ResponseReceived`
	356	value, which they can return from their `App`.
	357	(We will have the problem that we can call the callback _more than_
	358	once: we could keep working on solutions, but we'd have to move to more
	359	complicated solutions and WAI ends up suggesting that you just not do that.)
	360
	361	So this is why the CPS style is indeed necessary for resource management here:
	362	it's not enough to use `bracket`, you have to use `bracket` _and_ have the
	363	appropriate amount of strictness, and the CPS style helps you achieve that.

+179

-0

posts/tc-post.md less more

	1	Earlier today I pasted a snippet of Haskell code into our work chat that contained a multi-parameter type class instance that looked more or less like this:
	2
	3	```.haskell
	4	instance a ~ b => C a b where {- ... -}
	5	```
	6
	7	The constraint `a ~ b` in this declaration is a type equality constraint: it means that `a` and `b` must be the same type. One of my coworkers saw this and remarked, more or less, "Why did you write it in that obtuse way? You could have just declared an instance for `C a a`, which means the same thing."[^ref]
	8
	9	[^ref]: Well, okay, they ACTUALLY assumed I wrote an excessively obtuse type signature as an elaborate way of trolling them. And to be fair, the code snippet I was pasting was a deliberately jokey and ill-advised piece of code: it's just that the type equality wasn't part of the joke.
	10
	11	…well, if you MUST know, it was the following instance definition:
	12
	13	```
	14	instance (a ~ b) => Num ((Integer -> a) -> b) where
	15	fromIntegral x f = f x
	16	{- the rest of this is not important here -}
	17	```
	18
	19	this allows you to use numeric literals as functions that take another function and apply that function to themselves. This gives you some cute syntactic sugar:
	20
	21	```
	22	newtype Pixels = Pixels { fromPixels :: Integer }
	23
	24	width, height :: Pixels
	25	width = 320 Pixels
	26	height = 240 Pixels
	27	```
	28
	29	This is a disgusting and terrible, and please never do it.
	30
	31	However, the two actually _don't_ mean the same thing—but I can't blame said coworker for thinking they did, because the difference between the two is subtle and probably won't come up unless you've done a fair amount of type class fiddling. To that end, I want to show an example where those two differ, and then explain why.
	32
	33	# The Example
	34
	35	Let's say we have this (more than a little contrived) multi-parameter type class (which will require the `MultiParamTypeclasses` extension):
	36
	37	```.haskell
	38	class PairOf a b where
	39	thePair :: (a, b)
	40	```
	41
	42	I then define an instance that looks like this (which will require the `FlexibleInstances` extension):
	43
	44	```.haskell
	45	instance Monoid a => PairOf a a where
	46	thePair = (mempty, mempty)
	47	```
	48
	49	So far, so good! Now let's try a particular use of `thePair` in a (probably even more contrived) definition:
	50
	51	```.haskell
	52	obtuseMempty :: Monoid t => t
	53	obtuseMempty = fst thePair
	54	```
	55
	56	What do I expect to happen in this code snippet? I would hope that `obtuseMempty` ends up being the same as `mempty`. In particular, I want `thePair` to resolve to the instance I defined above, and consequently evaluate to `(mempty, mempty)`, and then, `fst (mempty, mempty) == mempty`. What _actually_ happens when I compile this?
	57
	58	```
	59	• Could not deduce (PairOf a b0) arising from a use of ‘thePair’
	60	from the context: Monoid a
	61	bound by the type signature for:
	62	obtuseMempty :: Monoid a => a
	63	at sample.hs:11:1-29
	64	The type variable ‘b0’ is ambiguous
	65	Relevant bindings include obtuseMempty :: a (bound at sample.hs:12:1)
	66	These potential instance exist:
	67	instance Monoid a => PairOf a a -- Defined at sample.hs:8:10
	68	• In the first argument of ‘fst’, namely ‘thePair’
	69	In the expression: fst thePair
	70	In an equation for ‘obtuseMempty’: obtuseMempty = fst thePair
	71	```
	72
	73	Well, _that's_ not what I had wanted, but I guess it makes sense: `thePair` has to be a pair (because of the use of `fst`), but since we never use the second element in `thePair`, there's no reason for GHC to believe that it's the same type as the first. However, let's try tweaking the definition a bit: instead of `PairOf a a`, let's define it as `PairOf a b` and then include a constraint that keeps `a` and `b` equal (which will require either `GADTs` or `TypeFamilies` enabled):
	74
	75	```.haskell
	76	instance (Monoid a, a ~ b) => PairOf a b where
	77	thePair = (mempty, mempty)
	78	```
	79
	80	If we try compiling `obtuseMempty` with this definition, it works without any errors! But _why_ does one work while the other doesn't? What's the difference between the two? The answer has to do with a subtlety of how type class resolution works, a subtlety that can be hard to observe right until it stares you in the face.
	81
	82	# How Type class Resolution Works
	83
	84	When GHC searches for an appropriate instance of a type class, it has to check against all the instances you've defined and find one that "matches" your use of the type class. This is pretty easy when you define instances for a basic type like `Int` or `Bool`. For example, using the following (pretty useless) type class:
	85
	86	```.haskell
	87	class MyClass t where
	88	myValue :: t
	89
	90	instance MyClass Int where myValue = 0
	91	instance MyClass Bool where myValue = True
	92	```
	93
	94	If I use `myValue` in a context where it's being interpreted as `Int`, then Haskell will search through the available instances and find our declaration of `MyClass Int`. That's simple enough! Things get a bit more complicated when we add types that include type parameters. For example, this is a definition of `MyClass` for pairs of values:
	95
	96	```.haskell
	97	instance (MyClass a, MyClass b) => MyClass (a, b) where
	98	myValue = (myValue, myValue)
	99	```
	100
	101	As a point of vocabulary, everything before the `=>` in this definition is called the _context_, and everything after it is called the _head_. So now, if I use `myValue` in a context where it's being interpreted as `(Int, Bool)`, then GHC will find the matching instance `MyClass (a, b)`, and then in turn tries to search for two other instances: one for `MyClass Int` and another for `MyClass Bool`.
	102
	103	Notice the precise way I phrased that, because this is where the basic intuition around type class instances can diverge from the actual implementation: it looks like the instance definition is saying, "If we have an instance for `MyClass a` and an instance for `MyClass b`, then we can also have an instance for `MyClass (a, b)`." This is a reasonable intuition, but it's _precisely backwards_ from what Haskell is actually doing. What happens instead is that, given `myValue` used as a pair, Haskell first selects the instance `MyClass (a, b)` _regardless of whether the other constraints are met_. It then examines the constraints for that instance and tries to satisfy them _after having already committed to that instance definition_. Or, to say it in a more concise but jargon-heavy way, it first matches the head, and then handles satisfying the context.
	104
	105	Consider what happens if write the following code without having defined an instance of the form `MyClass ()`:
	106
	107	```.haskell
	108	blah :: (Int, ())
	109	blah = myValue
	110	```
	111
	112	the precise error GHC gives us is: "No instance for `(MyClass ())` arising from a use of `myVal`." GHC has already settled on the `MyClass (a, b)` instance, has found a satisfying instance for `MyClass Int`, and then cannot find an instance for `MyClass ()`.
	113
	114	In this case, making that distinction seems a little bit pedantic. In this instance, it's really just an implementation detail! It shouldn't really matter _what_ order GHC is using underneath the surface: either way, the problem is that we don't have an instance for `MyClass ()`, and as long as GHC reports that error to us, it doesn't matter whether it commits to `MyClass (a, b)` first, or tries to solve the other constraints first.
	115
	116	# Repeated Types in Instance Heads
	117
	118	Let's look at our first problematic `PairOf` instance:
	119
	120	```.haskell
	121	instance Monoid a => PairOf a a where
	122	thePair = (mempty, mempty)
	123	```
	124
	125	Remember: GHC has to match the instance head first, and after that it solves the remaining constraints from the context! So, in the definition of `obtuseMempty`, what is the inferred type of the use of `thePair`?
	126
	127	```.haskell
	128	obtuseMempty :: Monoid t => t
	129	obtuseMempty = fst thePair
	130	```
	131
	132	It should be obvious, but for good measure, let's replace `thePair` with a hole and find out what type GHC is assigning based on the surrounding context:
	133
	134	```
	135	• Found hole: _ :: (a, b0)
	136	Where: ‘a’ is a rigid type variable bound by
	137	the type signature for:
	138	obtuseMempty :: forall a. Monoid a => a
	139	at sample.hs:11:17
	140	‘b0’ is an ambiguous type variable
	141	• In the first argument of ‘fst’, namely ‘_’
	142	In the expression: fst _
	143	In an equation for ‘obtuseMempty’: obtuseMempty = fst _
	144	```
	145
	146	So GHC needs to find an instance of the form `MyPair t b0`. Let's look at our instances: do we have one that has a matching head? …well, no, we only have `MyPair a a`.
	147
	148	"But wait!" you say. "We don't do anything with the second part of the pair, so why _can't_ GHC choose `MyPair a a` as a valid instance?" But GHC can't read your mind, and there's nothing in your program to indicate that the type variables `a` and `b0` are _supposed_ to be the same. As soon as you somehow indicate that, GHC will comply and find your `MyPair a a` instance:
	149
	150	```
	151	evenMoreObtuseMempty :: Monoid t => t
	152	evenMoreObtuseMempty = let p = thePair in (fst p `mappend` snd p)
	153	```
	154
	155	In this definition, it's clear that `thePair` is supposed to have two fields of the same type, because we're clearly using `mappend` to combine them. But is there a way of making it work even if we don't give it that clue?
	156
	157	# Type Equality to the Rescue
	158
	159	Let's move on to the second `MyPair` instance I described above:
	160
	161	```
	162	instance (Monoid a, a ~ b) => PairOf a b where
	163	thePair = (mempty, mempty)
	164	```
	165
	166	Using typical informal reasoning, it seems like this should be identical to the other instance definition: "It's an instance where both parameters are the same type, and that type needs to be a `Monoid`". But remember how GHC chooses instances: _first_ by matching the head, _then_ by elaborating the constraints. And this definition is different in an important way: the fact that the two type parameters are the same type is no longer a feature of the _head_, but rather a feature of the _context_! So when we revisit our definition of `obtuseMempty` with this new definition, GHC behaves differently:
	167
	168	```
	169	obtuseMempty :: Monoid t => t
	170	obtuseMempty = fst thePair
	171	```
	172
	173	The value `thePair` in this context still has the inferred type `PairOf t b0 => (t, b0)`, but now we have an instance for `PairOf a b`, which means GHC can unify those and select the instance we want! And _now that it has chosen that instance_, GHC can take the constraints associated with that instance and try to solve them: the expression `thePair` now has the inferred type `(Monoid t, t ~ b0) => (t, b0)`, which GHC can solve as: `(Monoid t) => (t, t)`. After that, our function type-checks successfully!
	174
	175	# So What's The Lesson?
	176
	177	A rough intuition is that you can think of many of the uses of type equality in practice as helping you _propagate_ the fact that types are equal in some contexts. In the simple example above, we as programmers intended the two fields of `thePair` should have the same type, but the `MyPair a a` definition meant we could only use `myPair` when GHC _already knew_ those types were equal. By moving the type equality to the context, we can use `myPair` in places where the two types aren't already known to be distinct and _introduce_ the fact that they are. This isn't the _only_ use of type equality—for example, type equality is very important in the context of type families, for example—but it's nevertheless an important one.
	178
	179	GHC type class resolution is really very straightforward, even in the fact of extensions like the ones we enabled in this post. In fact, part of the problem is that it's _very_ straightforward: in cases like these, it's sometimes tempting to imagine GHC is doing something more clever than it actually is!

+179

-0

posts/tc-post.md.bak less more

	1	Earlier today I pasted a snippet of Haskell code into our work chat that contained a multi-parameter typeclass instance that looked more or less like this:
	2
	3	```.haskell
	4	instance a ~ b => C a b where {- ... -}
	5	```
	6
	7	The constraint `a ~ b` in this declaration is a type equality constraint: it means that `a` and `b` must be the same type. One of my coworkers saw this and remarked, more or less, "Why did you write it in that obtuse way? You could have just declared an instance for `C a a`, which means the same thing."[^ref]
	8
	9	[^ref]: Well, okay, they ACTUALLY assumed I wrote an excessively obtuse type signature as an elaborate way of trolling them. And to be fair, the code snippet I was pasting was a deliberately jokey and ill-advised piece of code: it's just that the type equality wasn't part of the joke.
	10
	11	…well, if you MUST know, it was the following instance definition:
	12
	13	```
	14	instance (a ~ b) => Num ((Integer -> a) -> b) where
	15	fromIntegral x f = f x
	16	{- the rest of this is not important here -}
	17	```
	18
	19	this allows you to use numeric literals as functions that take another function and apply that function to themselves. This gives you some cute syntactic sugar:
	20
	21	```
	22	newtype Pixels = Pixels { fromPixels :: Integer }
	23
	24	width, height :: Pixels
	25	width = 320 Pixels
	26	height = 240 Pixels
	27	```
	28
	29	This is a disgusting and terrible, and please never do it.
	30
	31	However, the two actually _don't_ mean the same thing—but I can't blame said coworker for thinking they did, because the difference between the two is subtle and probably won't come up unless you've done a fair amount of typeclass fiddling. To that end, I want to show an example where those two differ, and then explain why.
	32
	33	# The Example
	34
	35	Let's say we have this (more than a little contrived) multi-parameter typeclass (which will require the `MultiParamTypeclasses` extension):
	36
	37	```.haskell
	38	class PairOf a b where
	39	thePair :: (a, b)
	40	```
	41
	42	I then define an instance that looks like this (which will require the `FlexibleInstances` extension):
	43
	44	```.haskell
	45	instance Monoid a => PairOf a a where
	46	thePair = (mempty, mempty)
	47	```
	48
	49	So far, so good! Now let's try a particular use of `thePair` in a (probably even more contrived) definition:
	50
	51	```.haskell
	52	obtuseMempty :: Monoid t => t
	53	obtuseMempty = fst thePair
	54	```
	55
	56	What do I expect to happen in this code snippet? I would hope that `obtuseMempty` ends up being the same as `mempty`. In particular, I want `thePair` to resolve to the instance I defined above, and consequently evaluate to `(mempty, mempty)`, and then, `fst (mempty, mempty) == mempty`. What _actually_ happens when I compile this?
	57
	58	```
	59	• Could not deduce (PairOf a b0) arising from a use of ‘thePair’
	60	from the context: Monoid a
	61	bound by the type signature for:
	62	obtuseMempty :: Monoid a => a
	63	at sample.hs:11:1-29
	64	The type variable ‘b0’ is ambiguous
	65	Relevant bindings include obtuseMempty :: a (bound at sample.hs:12:1)
	66	These potential instance exist:
	67	instance Monoid a => PairOf a a -- Defined at sample.hs:8:10
	68	• In the first argument of ‘fst’, namely ‘thePair’
	69	In the expression: fst thePair
	70	In an equation for ‘obtuseMempty’: obtuseMempty = fst thePair
	71	```
	72
	73	Well, _that's_ not what I had wanted, but I guess it makes sense: `thePair` has to be a pair (because of the use of `fst`), but since we never use the second element in `thePair`, there's no reason for GHC to believe that it's the same type as the first. However, let's try tweaking the definition a bit: instead of `PairOf a a`, let's define it as `PairOf a b` and then include a constraint that keeps `a` and `b` equal (which will require either `GADTs` or `TypeFamilies` enabled):
	74
	75	```.haskell
	76	instance (Monoid a, a ~ b) => PairOf a b where
	77	thePair = (mempty, mempty)
	78	```
	79
	80	If we try compiling `obtuseMempty` with this definition, it works without any errors! But _why_ does one work while the other doesn't? What's the difference between the two? The answer has to do with a subtlety of how typeclass resolution works, a subtlety that can be hard to observe right until it stares you in the face.
	81
	82	# How Typeclass Resolution Works
	83
	84	When GHC searches for an appropriate instance of a typeclass, it has to check against all the instances you've defined and find one that "matches" your use of the typeclass. This is pretty easy when you define instances for a basic type like `Int` or `Bool`. For example, using the following (pretty useless) typeclass:
	85
	86	```.haskell
	87	class MyClass t where
	88	myValue :: t
	89
	90	instance MyClass Int where myValue = 0
	91	instance MyClass Bool where myValue = True
	92	```
	93
	94	If I use `myValue` in a context where it's being interpreted as `Int`, then Haskell will search through the available instances and find our declaration of `MyClass Int`. That's simple enough! Things get a bit more complicated when we add types that include type parameters. For example, this is a definition of `MyClass` for pairs of values:
	95
	96	```.haskell
	97	instance (MyClass a, MyClass b) => MyClass (a, b) where
	98	myValue = (myValue, myValue)
	99	```
	100
	101	As a point of vocabulary, everything before the `=>` in this definition is called the _context_, and everything after it is called the _head_. So now, if I use `myValue` in a context where it's being interpreted as `(Int, Bool)`, then GHC will find the matching instance `MyClass (a, b)`, and then in turn tries to search for two other instances: one for `MyClass Int` and another for `MyClass Bool`.
	102
	103	Notice the precise way I phrased that, because this is where the basic intuition around typeclass instances can diverge from the actual implementation: it looks like the instance definition is saying, "If we have an instance for `MyClass a` and an instance for `MyClass b`, then we can also have an instance for `MyClass (a, b)`." This is a reasonable intuition, but it's _precisely backwards_ from what Haskell is actually doing. What happens instead is that, given `myValue` used as a pair, Haskell first selects the instance `MyClass (a, b)` _regardless of whether the other constraints are met_. It then examines the constraints for that instance and tries to satisfy them _after having already committed to that instance definition_. Or, to say it in a more concise but jargon-heavy way, it first matches the head, and then handles satisfying the context.
	104
	105	Consider what happens if write the following code without having defined an instance of the form `MyClass ()`:
	106
	107	```.haskell
	108	blah :: (Int, ())
	109	blah = myValue
	110	```
	111
	112	the precise error GHC gives us is: "No instance for `(MyClass ())` arising from a use of `myVal`." GHC has already settled on the `MyClass (a, b)` instance, has found a satisfying instance for `MyClass Int`, and then cannot find an instance for `MyClass ()`.
	113
	114	In this case, making that distinction seems a little bit pedantic. In this instance, it's really just an implementation detail! It shouldn't really matter _what_ order GHC is using underneath the surface: either way, the problem is that we don't have an instance for `MyClass ()`, and as long as GHC reports that error to us, it doesn't matter whether it commits to `MyClass (a, b)` first, or tries to solve the other constraints first.
	115
	116	# Repeated Types in Instance Heads
	117
	118	Let's look at our first problematic `PairOf` instance:
	119
	120	```.haskell
	121	instance Monoid a => PairOf a a where
	122	thePair = (mempty, mempty)
	123	```
	124
	125	Remember: GHC has to match the instance head first, and after that it solves the remaining constraints from the context! So, in the definition of `obtuseMempty`, what is the inferred type of the use of `thePair`?
	126
	127	```.haskell
	128	obtuseMempty :: Monoid t => t
	129	obtuseMempty = fst thePair
	130	```
	131
	132	It should be obvious, but for good measure, let's replace `thePair` with a hole and find out what type GHC is assigning based on the surrounding context:
	133
	134	```
	135	• Found hole: _ :: (a, b0)
	136	Where: ‘a’ is a rigid type variable bound by
	137	the type signature for:
	138	obtuseMempty :: forall a. Monoid a => a
	139	at sample.hs:11:17
	140	‘b0’ is an ambiguous type variable
	141	• In the first argument of ‘fst’, namely ‘_’
	142	In the expression: fst _
	143	In an equation for ‘obtuseMempty’: obtuseMempty = fst _
	144	```
	145
	146	So GHC needs to find an instance of the form `MyPair t b0`. Let's look at our instances: do we have one that has a matching head? …well, no, we only have `MyPair a a`.
	147
	148	"But wait!" you say. "We don't do anything with the second part of the pair, so why _can't_ GHC choose `MyPair a a` as a valid instance?" But GHC can't read your mind, and there's nothing in your program to indicate that the type variables `a` and `b0` are _supposed_ to be the same. As soon as you somehow indicate that, GHC will comply and find your `MyPair a a` instance:
	149
	150	```
	151	evenMoreObtuseMempty :: Monoid t => t
	152	evenMoreObtuseMempty = let p = thePair in (fst p `mappend` snd p)
	153	```
	154
	155	In this definition, it's clear that `thePair` is supposed to have two fields of the same type, because we're clearly using `mappend` to combine them. But is there a way of making it work even if we don't give it that clue?
	156
	157	# Type Equality to the Rescue
	158
	159	Let's move on to the second `MyPair` instance I described above:
	160
	161	```
	162	instance (Monoid a, a ~ b) => PairOf a b where
	163	thePair = (mempty, mempty)
	164	```
	165
	166	Using typical informal reasoning, it seems like this should be identical to the other instance definition: "It's an instance where both parameters are the same type, and that type needs to be a `Monoid`". But remember how GHC chooses instances: _first_ by matching the head, _then_ by elaborating the constraints. And this definition is different in an important way: the fact that the two type parameters are the same type is no longer a feature of the _head_, but rather a feature of the _context_! So when we revisit our definition of `obtuseMempty` with this new definition, GHC behaves differently:
	167
	168	```
	169	obtuseMempty :: Monoid t => t
	170	obtuseMempty = fst thePair
	171	```
	172
	173	The value `thePair` in this context still has the inferred type `PairOf t b0 => (t, b0)`, but now we have an instance for `PairOf a b`, which means GHC can unify those and select the instance we want! And _now that it has chosen that instance_, GHC can take the constraints associated with that instance and try to solve them: the expression `thePair` now has the inferred type `(Monoid t, t ~ b0) => (t, b0)`, which GHC can solve as: `(Monoid t) => (t, t)`. After that, our function typechecks successfully!
	174
	175	# So What's The Lesson?
	176
	177	A rough intuition is that you can think of many of the uses of type equality in practice as helping you _propagate_ the fact that types are equal in some contexts. In the simple example above, we as programmers intended the two fields of `thePair` should have the same type, but the `MyPair a a` definition meant we could only use `myPair` when GHC _already knew_ those types were equal. By moving the type equality to the context, we can use `myPair` in places where the two types aren't already known to be distinct and _introduce_ the fact that they are. This isn't the _only_ use of type equality—for example, type equality is very important in the context of type families, for example—but it's nevertheless an important one.
	178
	179	GHC typeclass resolution is really very straightforward, even in the fact of extensions like the ones we enabled in this post. In fact, part of the problem is that it's _very_ straightforward: in cases like these, it's sometimes tempting to imagine GHC is doing something more clever than it actually is!

+144

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posts/writer-leak.md less more

	1	The '`WriterT` space leak' is something that gets talked about a lot in Haskell folklore. Here's a short explanation of what that means.
	2
	3	# Defining `WriterT`
	4
	5	The `Writer` monad represents computations with "extra output": produced data, logging messages, and so forth. That "extra output" has some constraints: we need to know what it means to have an "empty" piece of that data (so we can construct values with no extra output) and we need to know how to combine or append the "extra output" (so we can run two distinct computations and combine them appropriately.) We can get those properties in Haskell by ensuring that the "extra output" parameter has a `Monoid` constraint.
	6
	7	The `WriterT` transformer is defined like this:
	8
	9	~~~{.haskell}
	10	newtype WriterT w m a =
	11	WriterT { runWriterT :: m (a, w) }
	12	~~~
	13
	14	which is to say: it wraps an underlying monad `m`, which represents a computation that produces a pair of `a` (the result of our computation) and `w` (the "extra output" parameter). The `Monad` instance (I'm eliding the `Functor` and `Applicative` instances) looks like this:
	15
	16	~~~{.haskell}
	17	instance (Monoid w, Monad m) => Monad (WriterT w m) where
	18	-- return the provided value, filling in the "extra output"
	19	-- with an "mempty" value.
	20	return x = WriterT $ return (x, mempty)
	21
	22	-- to chain two WriterT computations together...
	23	m >>= f = WriterT $ do
	24
	25	-- A: run the first computation, fetching its result
	26	-- and extra output
	27	(x, w) <- runWriterT m
	28
	29	-- B: produce the second computation by applying f to the
	30	-- result from the first computation, and then run it,
	31	-- fetching its result and extra output
	32	(y, w') <- runWriterT (f x)
	33
	34	-- C: return the final result with the pieces of
	35	-- extra output from each computation combined together.
	36	return (y, w `mappend` w')
	37	~~~
	38
	39	The last thing we need is the `tell` operation, which is the function we use to create our "extra output":
	40
	41	~~~{.haskell}
	42	tell :: (Monoid w, Monad m) => w -> WriterT w m ()
	43	tell o = WriterT $ return ((), o)
	44	~~~
	45
	46	A simple contrivted `WriterT` computation looks like this:
	47
	48	~~~{.haskell}
	49	sample :: WriterT (Sum Int) Identity ()
	50	sample = do
	51	tell (Sum 2)
	52	tell (Sum 3)
	53	tell (Sum 4)
	54	return ()
	55	~~~
	56
	57	running this produces a return value of `()` as well as "extra output" equivalent to `Sum 2 <> Sum 3 <> Sum 4 === Sum (2 + 3 + 4) === Sum 9`. Sure enough:
	58
	59	~~~{.haskell}
	60	>>> runIdentity $ runWriterT sample
	61	((), Sum 9)
	62	~~~
	63
	64	# In Space Leaks, No-One Can Hear You Scream
	65
	66	Well, what's the problem? Let's look more closely at the definition of `>>=`. In particular, notice that in order to start evaluating the call to `mappend` in step C, we need to have the output from both steps A and B. …except step B represents evaluating the _entire rest of the computation_, including an arbitrarily large number of other calls to `>>=`.
	67
	68	If we started evaluating the first call to `>>=` in `runWriterT sample`, then step A represents evaluating `tell (Sum 2)`, and step B represents evaluating `tell (Sum 3) >>= (\_ -> tell (Sum 4) >>= (\_ -> return ()))`. We get our output value `w` from the first one, and then we have to hold on to it while running the entire second computation in order to get the second extra output value `w'` before we can `mappend` them in step C. This problem appears with every call to `>>=`: we have to finish the entire subsequent chain of binds before we get the extra output to combine.
	69
	70	This is _especially_ silly for `sample`, where I've chosen to use `Sum Int` as the extra output. It's just an accumulator! But in order to actually start adding those numbers together, we have to go through the entire chain of binds and produce each number first, each of which has to be kept around until we get to the final `return`, and only then can we go back and start adding the numbers we've generated together. In this case, it's not gonna kill our heap, but consider a computation like
	71
	72	~~~{.haskell}
	73	largerSample :: WriterT (Sum Int) Identity ()
	74	largerSample = sequence [ tell (Sum 1) \| _ <- enumTo 1000000 ]
	75	~~~
	76
	77	This computation will contain 1000000 calls to `>>=`, which means we will generate 1000000 instances of the number 1 first, and _only then_ can it start adding them together. This can't be changed with strictness annotations or modifications to evaluation stategy: we'll need to rearrange the way that data depends on other data.
	78
	79	# Alleviating the Space Leak
	80
	81	The problem solution is described in short by Gabriel Gonzalez [here](https://mail.haskell.org/pipermail/libraries/2012-October/018599.html) and [here](https://mail.haskell.org/pipermail/libraries/2013-March/019528.html) on the mailing lists, but I'll explain the same thing slightly more verbosely:
	82
	83	What we _really want_ is for the call to `mappend` to happen earlier, which means moving around the way our intermediate values depend on each other.[^1] We've written our `WriterT` so that the "extra output" is always _returned from_ a computation, and never _passed to_ a computation: that means a given computation doesn't "know" about the intermediate value of that value, and we can only run our `mappend` operation after we've finished it. Let's try writing an alternate `WriterishT` monad that differs by also _taking_ the "extra output" from previous steps:
	84
	85	~~~{.haskell}
	86	newtype WriterishT w m a =
	87	WriterishT { runWriterishT :: w -> m (a, w) }
	88	~~~
	89
	90	The `w` on the left side of the arrow represents the intermediate value of the "extra output" that comes from previous steps. We can move the `mappend` step from the implementation of `>>=` into the `tell` function, which now combines the new value being "told" with the previous values:
	91
	92	~~~{.haskell}
	93	tellish :: (Monoid w, Monad m) => w -> WriterishT w m ()
	94	tellish w = WriterishT $ \w' -> return ((), w <> w')
	95	~~~
	96
	97	The implementation of `return` used to return `mempty`, but now it's taking an intermediate value it might need to combine with the 'new state', so it would look like this:
	98
	99	~~~{.haskell}
	100	return x = WriterishT $ \w -> (x, w <> mempty)
	101	~~~
	102
	103	Luckily, the `Monoid` laws tell us that `w <> mempty === w`, so we can simplify that definition down a fair amount. This ends up removing all mention of the `Monoid`al nature of our data in the `Monad` instance, so we can omit the `Monoid w` constraint:
	104
	105	~~~{.haskell}
	106	instance (Monad m) => Monad (WriterishT w m) where
	107	-- the motivation for this implementation is explained
	108	-- up above...
	109	return x = WriterishT $ \w -> (x, w)
	110
	111	-- The bind instance looks pretty similar, but again, we
	112	-- need to take the current state of our accumulator:
	113	x >>= f = WriterishT $ \w -> do
	114	-- A: we pass that on to the first computation...
	115	(x, w') <- runWriterishT m w
	116	-- B: and pass that on to the second computation...
	117	(y, w'') <- runWriterishT (f x) w'
	118	-- C: and return just the second state, because the
	119	-- call to 'mappend' was taken care of inside one
	120	-- of these.
	121	return (y, w'')
	122	~~~
	123
	124	Now, the call to `mappend` have all the data they need as soon as `tellish` happens. Step C _only_ relies on the "extra output" from B, which itself only relies on the "extra output" from A. That means that we've already run `mappend` before step B, and can throw away the older intermediate value.
	125
	126	…this is a _little_ bit dishonest, though: the type that we've made is significantly more powerful than just a `WriterT`. One _feature_ of `WriterT` is that there's no way for a computation to peek at or rely on the "extra output" from previous steps. However, if we aren't careful about the interface to our `WriterishT` monad—in particular, if we don't hide the constructor—a user could write code like this
	127
	128	~~~{.haskell}
	129	getCurrentOutput :: WriterishT w m w
	130	getCurrentOutput = WriterishT $ \w -> return (w, w)
	131
	132	poorlyBehaved :: WriterishT (Sum Int) Identity String
	133	poorlyBehaved = do
	134	Sum n <- getCurrentOutput
	135	if n == 0
	136	then return "zero"
	137	else return "nonzero"
	138	~~~
	139
	140	which would be impossible in `WriterT`! (If you can't see why, it's worth trying to write it and seeing what walls you come up against.) This is because, in point of fact, what I've been calling `WriterishT` is literally just `StateT` by a different name! That makes it much more powerful than `WriterT`, but accordingly it removes some of the guarantees you get by using a `WriterT`, as well.
	141
	142	So in summary, the `WriterishT` or `StateT` can alleviate the space-leak problems with `WriterT`, but at the cost of some of the desirable properties of `WriterT`. In most cases, the space leaks from `WriterT` won't turn out to be a huge problem, but it's good to know what's happening and why it comes about!
	143
	144	[^1]: This is a good way of thinking about a lot of performance problems in a lazy language: not in terms of 'steps', like in an imperative language, but in terms of dependencies among your subexpressions.

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scraps/aquan less more

	1	(* aquan *)
	2
	3	(* Below is a literal assignment, which is
	4	* identical to cons := "p"\| "t" \| "k" \| "w" \| "h" \| "n"; *)
	5	cons ::= p t k w h n;
	6
	7	(* And this could also be done with two rules and a literal
	8	* assignment *)
	9	vowel := ("a" \| "e" \| "i" \| "o" \| "u") (4: "" \| "'");
	10
	11	(* Here is a weighted disjunction *)
	12	syll := 4: cons vowel \| vowel;
	13
	14	(* And finally, here's an output statement *)
	15	puts syll (6 @ syll);
	16
	17
	18	(* auran *)
	19
	20	word := start (4@syll) end;
	21	syll := vowel cons;
	22	start := 3: cons \| 2: "";
	23	end := 3: vowel \| vowel "s"\| vowel "n";
	24	cons ::= p b m m f v t t t d n n s s s z l k g g gg sh j l r th th th;
	25	vowel ::= a a e e i i i o u eu au ae ai oi;
	26
	27	puts word;
	28
	29	-- hello world
	30
	31	use "hello world"
	32	\| "bonjour monde"
	33	\| "nihao shijian"
	34
	35
	36	-- aquan
	37	use syllable (rep.6.syllable)
	38	consonant = %{p t k w h n}
	39	vowel = ("a" \| "e" \| "i" \| "o" \| "u") (4: "" \| "'")
	40	syllable = 4: consonant vowel \| vowel
	41
	42
	43	-- aquan
	44	use syllable (rep.6.syllable)
	45	consonant = %{p t k w h n}
	46	vowel = %{a e i o u} (4: "" \| "'")
	47	syllable = 4: consonant vowel \| vowel
	48
	49	-- auran
	50	use init (rep.4.syll)
	51	syll = vowel cons
	52	start = 3: cons \| 2: nil
	53	end = 3: vowel \| vowel "s" \| vowel "n"
	54	cons = %{p b m m f v t t t d n n s s s z l k g g gg sh j l r th th th}
	55	vowel = %{2: a 2: e 3: i o u eu au ae ai oi}

+46

-0

scraps/idl less more

	1	record Point
	2	x Int
	3	y Int
	4
	5	-- this generates:
	6	-- in Haskell:
	7	-- data Point = Point { PointX :: Int, PointY :: Int }
	8	-- in OCaml:
	9	-- type point = { x: int, y: int };;
	10	-- in Rust:
	11	-- struct Point { x: isize, y: isize }
	12	-- in JSON:
	13	-- { "x": ..., "y": ... }
	14	-- in SQL:
	15	-- CREATE ROW Point ( id INTEGER NOT NULL, x INTEGER, y INTEGER)
	16
	17	enum Job
	18	boss(Department)
	19	grunt
	20
	21	-- this generates:
	22	-- in Haskell:
	23	-- data Job = JobBoss Department \| JobGrunt
	24	-- in OCaml:
	25	-- data job = JobBoss of Department \| JobGrunt;;
	26	-- in Rust:
	27	-- enum Job { Boss(Box<Department>), Grunt }
	28	-- in JSON: ???
	29	-- { "boss": [ ... ] }
	30	-- or
	31	-- { "grunt": null }
	32	-- in SQL: ???
	33
	34	enum List(a)
	35	cons(a, List(a))
	36	nil
	37
	38	-- this generates:
	39	-- in Haskell:
	40	-- data List a = ListCons a \| ListNil
	41	-- in OCaml:
	42	-- data 'a list = ListCons of ('a * 'a list) \| ListNil;;
	43	-- in Rust:
	44	-- enum List<a> { Cons(a, Box<List<a>>), Nil }
	45	-- in JSON:
	46	-- { "cons":

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scraps/picoml.md less more

97	97	while : Thunk Bool -> Thunk () -> ()
98	98	cond body = if \| cond () -> (body () ; while cond body)
99	99	\| else -> ()
	100
	101	-- because elsewhere
	102	type Thunk a = () -> a
100	103	~~~~
101	104
102	105	Finally, PicoML has a mechanism for supplying values implicitly. The

+31

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scraps/samples.ltk less more

	1	-- functions
	2	x = 1 \| 2 \| 3
	3	f of n = x \| n * 10
	4
	5	use f.x
	6
	7	-- fixing
	8	n = 1 \| 2
	9	fixed m = n
	10	use "{n},{n}"
	11	use "{m},{m}"
	12
	13	-- person
	14	pron of
	15	Male = "he"
	16	Female = "she"
	17	NB = "xe"
	18	person of
	19	Male = "man"
	20	Female = "woman"
	21	NB = "person"
	22
	23	fixed gender = Male \| Female \| NB
	24	hair = %{long short}
	25	hair_col = %{brown black blonde red white}
	26	eye_col = %{blue black brown green}
	27	mood = %{happy sad angry}
	28
	29	use "This {person.gender} has {hair} {hair_col} hair and
	30	{eye_color} eyes; {pron.gender} appears to be quite
	31	{mood}."

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seventh.ps less more

	1	%!PS-Adobe-2.0 EPSF-2.0
	2	%%BoundingBox: 0 0 612 792
	3
	4	% name
	5	% --------------
	6	% [] [] [] [] []
	7
	8	72 72 scale
	9	0.01 setlinewidth
	10
	11	/squareat
	12	{
	13	1 dict begin
	14	/len exch def
	15	gsave
	16	translate
	17	0.0 0.0 moveto
	18	0.0 len rlineto
	19	len 0.0 rlineto
	20	0.0 len neg rlineto
	21	len neg 0.0 rlineto
	22	stroke
	23	grestore
	24	end
	25	} def
	26
	27	/charsheet
	28	{
	29	0.25 8.2 1.5 squareat
	30	1.85 8.2 1.5 squareat
	31	3.45 8.2 1.5 squareat
	32	5.05 8.2 1.5 squareat
	33	6.65 8.2 1.5 squareat
	34	0.25 9.8 moveto
	35	8.1 9.8 lineto
	36	stroke
	37	}
	38	def
	39
	40	charsheet
	41
	42	showpage

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tentative-character.txt less more

	1	name: Lebethron of Angtaur (or "Leb")
	2	class: Ranger
	3	background: Outlander
	4	race: Firbolg
	5	alignment: Chaotic Good
	6
	7	stats:
	8	strength: 15 (14 + 1 [firbolg])
	9	dexterity: 17
	10	constitution: 12
	11	intelligence: 8
	12	wisdom: 17 (15 + 2 [firbolg])
	13	charisma: 10
	14
	15	speed: 30 feet [firbolg]
	16	size: medium [firbolg]
	17
	18	proficiency bonus: +2
	19	hit die: d10 [ranger]
	20	hit point maximum: 11
	21	ac: 14 (11 [leather armor] + 3 [dex modifier])
	22
	23	personality traits:
	24	- I'm always picking things up, absently fiddling with them, and sometimes accidentally breaking them. [outlander]
	25	ideals:
	26	- Life is in constant change, and we must change with it. [outlander]
	27	bonds:
	28	- I am the last of my tribe. [outlander]
	29	flaw:
	30	- Too enamored of ale, wine, and other intoxicants. [outlander]
	31
	32	languages:
	33	- common [firbolg]
	34	- elvish [firbolg]
	35	- giant [firbolg]
	36	- orkish [favored enemy]
	37	- sylvan [outlander]
	38
	39	proficiencies:
	40	- musical instrument: flute [outlander]
	41
	42	skills:
	43	- animal handling [ranger]
	44	- athletics [outlander]
	45	- perception [ranger]
	46	- stealth [ranger]
	47	- survival [outlander]
	48
	49	equipment:
	50	- leather armor [ranger]
	51	- two shortswords (1d6 piercing) [ranger]
	52	- longbow and 20 arrows (1d8 piercing) [ranger]
	53	- backpack [explorer's pack [ranger]]
	54	- bedroll [explorer's pack [ranger]]
	55	- mess kit [explorer's pack [ranger]]
	56	- tinderbox [explorer's pack [ranger]]
	57	- 10 torches [explorer's pack [ranger]]
	58	- 10 days rations [explorer's pack [ranger]]
	59	- waterskin [explorer's pack [ranger]]
	60	- 50ft hempen rope [explorer's pack [ranger]]
	61	- staff [outlander]
	62	- hunting trap [outlander]
	63	- set of traveler's clothes [outlander]
	64	- flute [purchased: 2gp]
	65	- bottle of ink [purchased: 10gp]
	66	- pen [purchased: 2cp]
	67	- journal [purchased: 25gp]
	68	- fishing tackle [purchased: 1gp]
	69	- 50ft hempen rope [purchased: 1gp]
	70	- 80.98gp (10gp [outlander] + 110gp [ranger] - purchases)
	71
	72	features & traits:
	73	- firbolg magic [firbolg]
	74	- hidden step [firbolg]
	75	- powerful build [firbolg]
	76	- speech of beast and leaf [firbolg]
	77	- favored enemy: orcs & drow [ranger]
	78	- natural explorer: underdark [ranger]
	79	- wanderer [outlander]
	80
	81	spells:
	82	- detect magic [firbolg magic]
	83	- disguise self [firbolg magic]

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woke.md less more

	1	Blatantly inspired by [Mallory Ortberg](https://twitter.com/mallelis)'s
	2	[Bible Verses Where A Word Has Been Replaced By A Different Word](http://the-toast.net/series/bible-verses/)
	3
	4	## The Gateless Gate, Case 7: Jōshū Washes The Bowl
	5
	6	> A monk asked Jōshū to teach him.
	7	>
	8	> Jōshū asked, "Have you eaten your meal?"
	9	>
	10	> The monk replied, "Yes, I have."
	11	>
	12	> "Then go wash your bowl", said Jōshū.
	13	>
	14	> At that moment, the monk got woke.
	15
	16	## The Gateless Gate, Case 15: Tōzan's Three Blows
	17
	18	> Tōzan went to Ummon. Ummon asked him where he had come from.
	19	>
	20	> Tōzan said: "From Sato."
	21	>
	22	> Ummon asked: "In what temple did you remain for the summer?"
	23	>
	24	> Tōzan replied: "The temple of Hōzu, south of the lake."
	25	>
	26	> "When did you leave there?" asked Ummon.
	27	>
	28	> "The twenty-fifth of August," answered Tōzan.
	29	>
	30	> Ummon said: "I should give you three blows with a stick, but
	31	> today I forgive you."
	32	>
	33	> The next day Tōzan bowed to Ummon and asked: "Yesterday you forgave
	34	> me three blows. I do not know why you thought me wrong."
	35	>
	36	> Ummon, rebuking Tōzan's spiritless responses, said: "You are good
	37	> for nothing. You simply wander from one monastery to another."
	38	>
	39	> Before Ummon's words were ended Tōzan got woke.
	40
	41	## 101 Zen Stories, Case 46: How Grass & Trees Become Woke
	42
	43	> During the Kamakura period, Shinkan studied Tendai six
	44	> years and then studied Zen seven years; then he went to
	45	> China and contemplated Zen for thirteen years more.
	46	>
	47	> When he returned to Japan many desired to interview him
	48	> and asked obscure questions. But when Shinkan received
	49	> visitors, which was infrequently, he seldom answered their
	50	> questions.
	51	>
	52	> One day a fifty-year-old student of wokeness said to
	53	> Shinkan: "I have studied the Tendai school of thought since
	54	> I was a little boy, but one thing in it I cannot understand.
	55	> Tendai claims that even the grass and trees will get
	56	> woke. To me this seems very strange."
	57	>
	58	> "Of what use is it to discuss how grass and trees get
	59	> woke?" asked Shinkan. "The question is how you yourself
	60	> can become so. Did you ever consider that?"
	61	>
	62	> "I never thought of it in that way," marveled the old man.
	63	>
	64	> "Then go home and think it over," finished Shinkan.
	65
	66	## Book of Equanimity, Case 8: Hyakujō and the Fox
	67
	68	> Whenever Master Hyakujō delivered a sermon, an old man was
	69	> always listening there with the monks. When they left, he
	70	> left too. One day, however, he remained behind.
	71	>
	72	> Hyakujō asked him, "What man are you, standing there?"
	73	>
	74	> The old man
	75	> replied, "In the past, in the time of Kashyapa Buddha, I
	76	> lived on this mountain as a Zen priest. Once a monk came
	77	> and asked me, 'Does a perfectly woke person fall under
	78	> the law of cause and effect or not?' I said to him, 'He
	79	> does not.' Because of this answer, I fell into the state of
	80	> a fox for 500 lives. Now, I beg you, Master, please say
	81	> a turning word."
	82	>
	83	> Hyakujō said, "The law of cause and effect cannot be obscured."
	84	>
	85	> Upon hearing this, the old man became greatly woke.
	86
	87	## Book of Equanimity, Case 20: Jizō's "Most Intimate"
	88
	89	> Jizō asked Hōgen, "Where are you going, senior monk?"
	90	>
	91	> Hōgen said, "I am on pilgrimage, following the wind."
	92	>
	93	> Jizō said, "What are you on pilgrimage for?"
	94	>
	95	> Hōgen said, "I don't know."
	96	>
	97	> Jizō said, "Non knowing is most intimate."
	98	>
	99	> Hōgen suddenly got really woke.
	100
	101	## 101 Zen Stories, Case 31: Every Take is Hottest
	102
	103	> When Banzan was walking through a market he overheard a
	104	> conversation between a butcher and his customer.
	105	>
	106	> "Give me the hottest take you have," said the customer.
	107	>
	108	> "Every take in my feed is the hottest," replied the butcher.
	109	> "You cannot find here any take that is not the hottest."
	110	>
	111	> At these words Banzan got woke.