From 81ca0b8e3236800795ef5bfce46df473f269a98e Mon Sep 17 00:00:00 2001 From: LordBaryhobal Date: Sun, 23 Jun 2024 20:59:51 +0200 Subject: [PATCH] initial commit --- LICENSE | 73 ++++++++++ README.md | 3 + gallery/example1.pdf | Bin 0 -> 178473 bytes gallery/example1.typ | 90 ++++++++++++ src/func.typ | 86 ++++++++++++ src/lib.typ | 5 + src/renderer.typ | 325 +++++++++++++++++++++++++++++++++++++++++++ src/table.typ | 135 ++++++++++++++++++ src/utils.typ | 5 + typst.toml | 14 ++ 10 files changed, 736 insertions(+) create mode 100644 LICENSE create mode 100644 README.md create mode 100644 gallery/example1.pdf create mode 100644 gallery/example1.typ create mode 100644 src/func.typ create mode 100644 src/lib.typ create mode 100644 src/renderer.typ create mode 100644 src/table.typ create mode 100644 src/utils.typ create mode 100644 typst.toml diff --git a/LICENSE b/LICENSE new file mode 100644 index 0000000..74e2338 --- /dev/null +++ b/LICENSE @@ -0,0 +1,73 @@ +Apache License +Version 2.0, January 2004 +http://www.apache.org/licenses/ + +TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION + +1. 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We also recommend that a file or class name and description of purpose be included on the same "printed page" as the copyright notice for easier identification within third-party archives. + +Copyright 2024 HEL + +Licensed under the Apache License, Version 2.0 (the "License"); +you may not use this file except in compliance with the License. +You may obtain a copy of the License at + +http://www.apache.org/licenses/LICENSE-2.0 + +Unless required by applicable law or agreed to in writing, software +distributed under the License is distributed on an "AS IS" BASIS, +WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +See the License for the specific language governing permissions and +limitations under the License. diff --git a/README.md b/README.md new file mode 100644 index 0000000..3d814a5 --- /dev/null +++ b/README.md @@ -0,0 +1,3 @@ +# functastic + +A Typst package to create sign tables of mathematical functions \ No newline at end of file diff --git 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17c1nfzhr?o+M z8q39-*9sq9;V*kDVR8#a%E&wlThSSTF-i3hojS*G!E?U9?1Y$!(wV0ZgwBC|lUA7C zT)7=^;#Re#y86y`@XJc>lk8Tn4`SCb9JLhsuis;9Hfrwdoq}_#k1D3j2dl!hPR-(T zygA#R5TCq9I8{yT`ZpV?-=7uz+(#<08xmf0be)}r?fB>u*CoYtY8ozAQV(c=Lkp1 z*7Tni|7v#oTVDv2(2?Ekm=PtklaZ;BlM$}xe?(2wQo8<2uo+PaH^6bt3J7|16w^qI zb+xjV6@)PrW7UK!2`Je~p)D}iJRH#K9?CaOJgiJmrmPa;qHe-&Hg+~Z>mWB9YpkQN zn;5GRE;gAkkj8<*te_(lCo3^l0F%$v0R#B$v5Jd2n3@TzNz49G4akYHS~xk`34_6| zuCDy9Fn(JHb1(#jLV*RKU?`Liz~FOq$2u9g@nId={%GJwR4zb{AY6k+#+WG*Il zMBwkJI356qJl4_42y24=7b^dP`bT9oz$%Wxu_k40*{2K%$D08;^Q8~hU<0v8?eFEA+Xq1SKi0o?+zCjSIOLV*yJe}*AZf8rN{5Q5<% zwf)|nkPr}_@=q`z#^Rr4fItZWfhK>)Ljt1uGaga^^_TXL5G3-?v>;(ZKtRnuwTFNR z{+T``5byFYb&;@N!AD_6VMp7U oqpUPYm-C;kms~)g(SNd(avkl3fJM{6>1d7u%)z08$FcGLAM&cFU;qFB literal 0 HcmV?d00001 diff --git a/gallery/example1.typ b/gallery/example1.typ new file mode 100644 index 0000000..b29748e --- /dev/null +++ b/gallery/example1.typ @@ -0,0 +1,90 @@ +#import "/src/lib.typ" as functastic + +#set page(width: auto, height: auto) + +#functastic.sign-table( + ($-oo$, $-1$, $x_0$, $1$, $3$, $+oo$), + espcl: 2.6, + { + import functastic: * + + sign-line( + $f_7'(x)$, + (none, $-$, "d", $-$, "t", $-$, "d", "h", "d", $+$, none) + ) + sign-line( + $f_7''(x)$, + (none, $-$, "d", $+$, $0$, $-$, "d", "h", "d", $-$, none) + ) + func-line( + $f_7(x)$, + mult: 2, + ( + val(asymp($y=-1$), "top"), + disc(($-oo$, "bottom"), ($+oo$, "top")), + none, + disc(center: ($0$, "bottom"), eod: true), + disc(center: ($0$, "bottom")), + val(asymp($y=1$), "top"), + inter($y_0$, 2, 4, i: 2) + ) + ) + convex-line( + "concavité", + mult: 2, + ( + none, + false, + "AV", + true, + "PI", + false, + none, + none, + none, + false, + none + ) + ) + } +) + +#pagebreak() + +#functastic.sign-table( + ($-oo$, $-sqrt(2)/2$, $(3 - sqrt(5))/4$, $sqrt(2)/2$, $1$, $(3 + sqrt(5))/4$, $+oo$), + espcl: 2.5, + { + import functastic: * + sign-line($f'(x)$, (none, $-$, "d", "h", none, "h", "d", $-$, $0$, $+$, "t", $+$, none)) + + sign-line($f''(x)$, (none, $-$, "d", "h", none, "h", "d", $+$, "t", $+$, $0$, $-$, none)) + + func-line($f(x)$, mult: 2, ( + val(asymp($-2sqrt(2)$), "top"), + disc(($-oo$, "bottom"), eod: true), + disc(eod: true), + disc(right: ($+oo$, "top")), + val($2$, "bottom"), + none, + val(asymp($2sqrt(2)$), "top"), + inter($(2sqrt(1 + sqrt(5))) / sqrt(3)$, 3, 4, i: 5) + )) + + convex-line("concavité", ( + none, + false, + "AV", + none, + none, + none, + "AV", + true, + none, + true, + "PI", + false, + none + )) + } +) \ No newline at end of file diff --git a/src/func.typ b/src/func.typ new file mode 100644 index 0000000..aa210aa --- /dev/null +++ b/src/func.typ @@ -0,0 +1,86 @@ +#import "@preview/cetz:0.2.2": coordinate + +#let val(value, alignment) = { + return ( + type: "value", + value: value, + alignment: alignment + ) +} + +#let disc(eod: false, ..args) = { + let pargs = args.pos() + let left = pargs.at(0, default: (none, none)) + let right = pargs.at(1, default: (none, none)) + let center = pargs.at(2, default: (none, none)) + + let kwargs = args.named() + if "left" in kwargs { left = kwargs.left } + if "right" in kwargs { right = kwargs.right } + if "center" in kwargs { center = kwargs.center } + + let (value-l, alignment-l) = left + let (value-r, alignment-r) = right + let (value-c, alignment-c) = center + return ( + type: "discontinuity", + left: ( + value: value-l, + alignment: alignment-l, + ), + right: ( + value: value-r, + alignment: alignment-r, + ), + center: ( + value: value-c, + alignment: alignment-c, + ), + eod: eod + ) +} + +#let inter(value, start, end, i: auto) = { + let i = i + if i == auto { + i = calc.floor( (start + end) / 2 ) + } + return ( + type: "intermediate", + value: value, + start: start, + end: end, + i: i, + ) +} + +#let get-anchor( + ctx, + line-i, + i, + alignment, + side, + dx: .1, + dy: .1 +) = { + let (_, anchor) = coordinate.resolve(ctx, "anchor-" + str(i)) + let (_, header-t) = coordinate.resolve(ctx, "header-" + str(line-i) + ".north") + let (_, header-b) = coordinate.resolve(ctx, "header-" + str(line-i) + ".south") + + let x = anchor.at(0) + if side == "left" { + x -= dx + } else if side == "right" { + x += dx + } + + let yt = header-t.at(1) + let yb = header-b.at(1) + let y = (yt + yb) / 2 + if alignment == "top" { + y = yt - dy + } else if alignment == "bottom" { + y = yb + dy + } + return (x, y) +} \ No newline at end of file diff --git a/src/lib.typ b/src/lib.typ new file mode 100644 index 0000000..de6051a --- /dev/null +++ b/src/lib.typ @@ -0,0 +1,5 @@ +#let version = version((0,0,1)) + +#import "table.typ": sign-table, sign-line, func-line, convex-line +#import "func.typ": * +#import "utils.typ": * \ No newline at end of file diff --git a/src/renderer.typ b/src/renderer.typ new file mode 100644 index 0000000..472a356 --- /dev/null +++ b/src/renderer.typ @@ -0,0 +1,325 @@ +#import "@preview/cetz:0.2.2": draw, vector, coordinate +#import "@preview/modpattern:0.1.0": modpattern +#import "func.typ" + +#let stripes = modpattern((4pt, 4pt))[ + #line( + start: (-50%, -50%), + end: (50%, 50%), + stroke: ( + paint: black, + thickness: .5pt, + cap: "square" + ) + ) +] + +#let _draw-arrow(i) = { + if i == 0 { + return + } + draw.line( + "value-" + str(i - 1), + "value-" + str(i), + mark: ( + end: ">", + fill: black, + scale: .5 + ), + stroke: black + .5pt + ) +} + +#let render-anchors(styles, ctx, line) = { + for (i, value) in line.anchors.enumerate() { + draw.content( + name: "anchor-" + str(i), + (v => vector.add(v, (styles.espcl * i + styles.deltacl, 0, 0)), "header-0.east"), + anchor: "center", + value + ) + } + let width = styles.espcl * (line.anchors.len() - 1) + 2 * styles.deltacl + draw.rect( + name: "anchors", + "header-0.north-east", + ( + v => vector.add(v, (width, 0, 0)), + "header-0.south-east" + ), + stroke: black + .5pt + ) +} +#let render-signs(styles, ctx, line, line-i) = { + let header = "header-" + str(line-i) + let (_, ht) = coordinate.resolve(ctx, header + ".north") + let (_, hb) = coordinate.resolve(ctx, header + ".south") + let yt = ht.at(1) + let yb = hb.at(1) + + for (i, value) in line.values.enumerate() { + // Value + if calc.rem(i, 2) == 1 { + let (_, a0) = coordinate.resolve(ctx, "anchor-" + str((i - 1) / 2)) + let (_, a1) = coordinate.resolve(ctx, "anchor-" + str((i + 1) / 2)) + let x0 = a0.at(0) + let x1 = a1.at(0) + + if value == "h" { + if line.values.at(i - 1) == "d" { + x0 += 0.05 + } + if line.values.at(i + 1, default: none) == "d" { + x1 -= 0.05 + } + draw.rect( + (x0, yt), + (x1, yb), + fill: stripes, + stroke: none + ) + } else { + draw.content( + ((x0 + x1) / 2, (yt + yb) / 2), + anchor: "center", + value + ) + } + + // Anchor + } else { + let (_, a) = coordinate.resolve(ctx, "anchor-" + str(i / 2)) + let x = a.at(0) + if value == "d" { + draw.line( + (x - .05, yt), + (x - .05, yb), + stroke: black + .5pt + ) + draw.line( + (x + .05, yt), + (x + .05, yb), + stroke: black + .5pt + ) + } else if value == "t" or value == "z" { + draw.line( + (x, yt), + (x, yb), + stroke: ( + paint: black, + thickness: .5pt, + dash: "dotted" + ) + ) + + if value == "z" { + draw.content( + (x, (yt + yb) / 2), + anchor: "center", + $0$ + ) + } + } else { + draw.content( + (x, (yt + yb) / 2), + anchor: "center", + value + ) + } + } + } + draw.line( + header + ".south-east", + (vertical: (), horizontal: "anchors.east"), + stroke: black + .5pt + ) +} + +#let render-func(styles, ctx, line, line-i) = { + let header = "header-" + str(line-i) + let ood = false + let value-i = -1 + + for (i, value) in line.values.enumerate() { + if value == none { + continue + } + + if value.type == "value" { + let pos = func.get-anchor(ctx, line-i, i, value.alignment, "center") + value-i += 1 + draw.content( + name: "value-" + str(value-i), + pos, + anchor: if value.alignment == "top" {"north"} else {"south"}, + value.value, + frame: "rect", + padding: 3pt, + stroke: none + ) + if not ood and i != 0 { + _draw-arrow(value-i) + } + } else if value.type == "intermediate" { + let start = "value-" + str(value.start) + let end = "value-" + str(value.end) + let top = func.get-anchor(ctx, line-i, value.i, "top", "center", dy: 0) + let bottom = func.get-anchor(ctx, line-i, value.i, "bottom", "center", dy: 0) + let inter-name = "inter-" + str(i) + draw.intersections(inter-name, { + draw.hide(draw.line(start, end)) + draw.hide(draw.line(top, bottom)) + }) + draw.content( + inter-name + ".0", + anchor: "center", + value.value, + frame: "rect", + padding: 3pt, + stroke: none, + fill: white + ) + + } else if value.type == "discontinuity" { + let p0 = func.get-anchor(ctx, line-i, i, "top", "left", dx: 0.05, dy: 0) + let p1 = func.get-anchor(ctx, line-i, i, "bottom", "left", dx: 0.05, dy: 0) + let p2 = func.get-anchor(ctx, line-i, i, "top", "right", dx: 0.05, dy: 0) + let p3 = func.get-anchor(ctx, line-i, i, "bottom", "right", dx: 0.05, dy: 0) + + if not ood or not value.eod { + draw.line(p0, p1, stroke: black + .5pt) + draw.line(p2, p3, stroke: black + .5pt) + }/* else { + draw.rect( + p0, p3, fill: stripes, stroke: none + ) + }*/ + + if value.eod { + // Only offset stripes if bound by double lines, otherwise + // go until center of anchor + let q0 = if not ood {p2} else { + func.get-anchor(ctx, line-i, i, "top", "center", dy: 0) + } + let next = line.values.at(i + 1, default: none) + let q1 = func.get-anchor( + ctx, + line-i, + i + 1, + "bottom", + if next == none or not next.eod {"left"} else {"center"}, + dx: 0.05, + dy: 0 + ) + + draw.rect( + q0, + q1, + fill: stripes, + stroke: none + ) + } + let anchors = ( + top: ("north-east", "north", "north-west"), + center: ("east", "center", "west"), + bottom: ("south-east", "south", "south-west") + ) + if value.left.value != none { + let p = func.get-anchor(ctx, line-i, i, value.left.alignment, "left") + value-i += 1 + draw.content( + name: "value-" + str(value-i), + p, + anchor: anchors.at(value.left.alignment).at(0), + value.left.value, + frame: "rect", + fill: white, + stroke: none, + padding: 3pt + ) + if not ood { + _draw-arrow(value-i) + } + } + if value.center.value != none { + let p = func.get-anchor(ctx, line-i, i, value.center.alignment, "center") + value-i += 1 + draw.content( + name: "value-" + str(value-i), + p, + anchor: anchors.at(value.center.alignment).at(1), + value.center.value, + frame: "rect", + fill: white, + stroke: none, + padding: 3pt + ) + if not ood { + _draw-arrow(value-i) + } + } + if value.right.value != none { + let p = func.get-anchor(ctx, line-i, i, value.right.alignment, "right") + value-i += 1 + draw.content( + name: "value-" + str(value-i), + p, + anchor: anchors.at(value.right.alignment).at(2), + value.right.value, + frame: "rect", + fill: white, + stroke: none, + padding: 3pt + ) + } + if value.eod { + ood = true + } else { + ood = false + } + } + } + + draw.line( + header + ".south-east", + (vertical: (), horizontal: "anchors.east"), + stroke: black + .5pt + ) +} + +#let render-convex(styles, ctx, line, line-i) = { + let header = "header-" + str(line-i) + + let (_, ht) = coordinate.resolve(ctx, header + ".north") + let (_, hb) = coordinate.resolve(ctx, header + ".south") + let yt = ht.at(1) + let yb = hb.at(1) + + for (i, value) in line.values.enumerate() { + if value == none { + continue + } + + // Value + if calc.rem(i, 2) == 1 { + let alignment = if value { "top" } else {"bottom"} + let start = func.get-anchor(ctx, line-i, (i - 1) / 2, alignment, "right") + let end = func.get-anchor(ctx, line-i, (i + 1) / 2, alignment, "left") + let center = ((start.at(0) + end.at(0)) / 2, (yt + yb) / 2) + draw.arc-through(start, center, end, stroke: black + .5pt) + + // Anchor + } else { + let p = func.get-anchor(ctx, line-i, i / 2, "center", "center") + let v = if value == "AV" [A.V] else if value == "PI" [P.I] + + draw.content(p, anchor: "center", v) + } + } + + draw.line( + header + ".south-east", + (vertical: (), horizontal: "anchors.east"), + stroke: black + .5pt + ) +} \ No newline at end of file diff --git a/src/table.typ b/src/table.typ new file mode 100644 index 0000000..99c2ef2 --- /dev/null +++ b/src/table.typ @@ -0,0 +1,135 @@ +#import "@preview/cetz:0.2.2": canvas, draw +#import "renderer.typ": * + +#let anchor-line( + name, + anchors +) = { + return (( + type: "anchors", + name: name, + inset: 1em, + anchors: anchors, + ),) +} + +#let sign-line( + name, + values +) = { + return (( + type: "sign", + name: name, + inset: 1em, + values: values, + ),) +} + +#let func-line( + name, + values, + mult: 1 +) = { + return (( + type: "func", + name: name, + inset: ( + top: 1em * mult, + bottom: 1em * mult, + left: 1em, + right: 1em + ), + values: values, + ),) +} + +#let convex-line( + name, + values, + mult: 1 +) = { + return (( + type: "convex", + name: name, + inset: ( + top: 1em * mult, + bottom: 1em * mult, + left: 1em, + right: 1em + ), + values: values, + ),) +} + +#let sign-table( + anchors, + lines, + var: $x$, + espcl: 1, + deltacl: 1, +) = context { + let lines = anchor-line(var, anchors) + lines + let name-sizes = lines.map(l => measure(box(l.name, inset: l.inset))) + let headers-width = calc.max(..name-sizes.map(s => s.width)) + let headers-cx = headers-width / 2 + let styles = ( + espcl: espcl, + deltacl: deltacl + ) + + let render-anchors = render-anchors.with(styles) + let render-signs = render-signs.with(styles) + let render-func = render-func.with(styles) + let render-convex = render-convex.with(styles) + + canvas({ + /*draw.group( + name: "headers", + { + } + )*/ + for (i, line) in lines.enumerate() { + let pos = if i == 0 { + (headers-cx, 0) + } else { + "header-" + str(i - 1) + ".south" + } + let anchor-name = "header-" + str(i) + draw.content( + name: anchor-name, + anchor: "north", + padding: line.inset, + pos, + line.name + ) + draw.rect( + name: anchor-name, + (v => (0, v.at(1), 0), anchor-name + ".north-west"), + (v => (headers-width, v.at(1), 0), anchor-name + ".south-east"), + stroke: black + .5pt + ) + } + for (i, line) in lines.enumerate() { + draw.get-ctx(ctx => { + if line.type == "anchors" { + render-anchors(ctx, line) + } else if line.type == "sign" { + render-signs(ctx, line, i) + } else if line.type == "func" { + render-func(ctx, line, i) + } else if line.type == "convex" { + render-convex(ctx, line, i) + } + }) + } + + draw.line( + "anchors.south-east", + ( + horizontal: (), + vertical: "header-" + str(lines.len() - 1) + ".south-east" + ), + stroke: black + .5pt + ) + }) +} \ No newline at end of file diff --git a/src/utils.typ b/src/utils.typ new file mode 100644 index 0000000..2b67065 --- /dev/null +++ b/src/utils.typ @@ -0,0 +1,5 @@ +#let asymp(value) = box( + inset: .5em, + stroke: black + .5pt, + value +) \ No newline at end of file diff --git a/typst.toml b/typst.toml new file mode 100644 index 0000000..2496fbc --- /dev/null +++ b/typst.toml @@ -0,0 +1,14 @@ +[package] +name = "functastic" +version = "0.0.1" +compiler = "0.11.0" +repository = "https://git.kb28.ch/HEL/functastic" +entrypoint = "src/lib.typ" +authors = [ + "Louis Heredero " +] +categories = ["visualization"] +license = "Apache-2.0" +description = "A Typst package to create sign tables of mathematical functions" +keywords = ["table", "function", "sign", "math"] +exclude = [ "/gallery/*" ]