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@ -0,0 +1,5 @@
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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
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2 2
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B + B = r
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x y
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@ -0,0 +1,6 @@
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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
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┌───────────────────────┐
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╭ 1 │ 2 2
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erf (θ, k) = | \| │B (t,θ,k) + B (t,θ,k) - r\|dt
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╯ 0 ⟍│ x y
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@ -0,0 +1,6 @@
|
||||
\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
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||||
|
||||
╭ ┌───────┐ ╮
|
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│ ╭ 1 │ 2 2 │ d
|
||||
│ | \| │B + B - r\|dt │ ── = 0
|
||||
╰ ╯ 0 ⟍│ x y ╯ dt
|
||||
@ -0,0 +1,5 @@
|
||||
\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
|
||||
|
||||
╭ \pi ╮ 4 ╭ \pi ╮ 4 ┌─┐
|
||||
f│ ─── │ = ─ · tan│ ─── │ = ─(⟍│2 -1) ≅ 0.55228474983[...]
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╰ 2 ╯ 3 ╰ 8 ╯ 3
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||||
@ -0,0 +1,8 @@
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||||
\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
|
||||
|
||||
start= (r, 0)
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control = (r, 0.55228 · r)
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1
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control = (0.55228 · r, r)
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2
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end= (0, r)
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@ -0,0 +1,24 @@
|
||||
\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
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||||
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3c + 4sin(θ)) - 3k · cos(θ) θ
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────────────────────────────= sin(─)
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8 2
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╭ θ ╮
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3k + 4sin(θ)) - 3k · cos(θ)= 8sin│ ─ │
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╰ 2 ╯
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╭ θ ╮
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3k - 3k · cos(θ)= 8sin│ ─ │ - 4sin(θ)
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╰ 2 ╯
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╭ ╭ θ ╮ ╮
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3k (1 - cos(θ))= 4 │ 2sin│ ─ │ - sin(θ) │
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╰ ╰ 2 ╯ ╯
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θ
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2sin(─) - sin(θ)
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2
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3k= 4 · ────────────────
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1 - cos(θ)
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╭ θ ╮
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2sin│ ─ │ - sin(θ)
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4 ╰ 2 ╯
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k= ─ · ──────────────────
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3 1 - cos(θ)
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@ -0,0 +1,6 @@
|
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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
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||||
|
||||
┌───────┐
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│ 2 2
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\| │B + B - r\| = 0, t ∈[0,1]
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⟍│ x y
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||||
@ -0,0 +1,8 @@
|
||||
\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
|
||||
|
||||
start= (r, 0)
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control = (r, k)
|
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1
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control = r · (cos(θ) + k · sin(θ), sin(θ) - k · cos(θ))
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2
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end= r · (cos(θ), sin(θ))
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||||
@ -0,0 +1,25 @@
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||||
\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
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||||
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P + P
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2 3
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y y k + sin(θ) - k · cos(θ)
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A = ───────── = ────────────────────────
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y 2 2
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1
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||||
A + ─P k + sin(θ) - k · cos(θ)
|
||||
y 2 2 ──────────────────────── + ─
|
||||
y 2 2 2k + sin(θ) + k · cos(θ)
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e = ───────── = ──────────────────────────── = ─────────────────────────
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1 2 2 4
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y
|
||||
k
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||||
A + mid(P , P ) A + sin(θ) - ─ cos(θ)
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y 4 3 y 2 k + 3sin(θ) 2k · cos(θ)
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||||
e = ───────────────── = ────────────────────── = ────────────────────────
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2 2 2 4
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y
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e + e
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1 2
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y y 3k + 4sin(θ) - 3k · cos(θ)
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B = ───────── = ───────────────────────────
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y 2 8
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@ -0,0 +1,5 @@
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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
|
||||
|
||||
4 ╭ θ ╮
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k = f(θ) = ─ tan│ ─ │
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||||
3 ╰ 4 ╯
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@ -0,0 +1,18 @@
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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
|
||||
|
||||
╭ θ ╮
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||||
2sin│ ─ │ - sin(θ)
|
||||
4 ╰ 2 ╯
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||||
k= ─ · ──────────────────
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3 1 - cos(θ)
|
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╭ ╭ θ ╮ ╮
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||||
│ 2sin│ ─ │ │
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4 │ ╰ 2 ╯ sin(θ) │
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k= ─ · │ ────────── - ────────── │
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3 ╰ 1 - cos(θ) 1 - cos(θ) ╯
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4 ╭ ╭ θ ╮ ╭ θ ╮ ╮
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k= ─ · │ csc│ ─ │ - cot│ ─ │ │
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3 ╰ ╰ 2 ╯ ╰ 2 ╯ ╯
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4 ╭ θ ╮
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k= ─ · tan│ ─ │
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3 ╰ 4 ╯
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||||
@ -0,0 +1,10 @@
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||||
\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
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||||
|
||||
P = (1, 0)
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1
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P = (1, c)
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2
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P = P + k · (sin(θ), -cos(θ))
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3 4
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P = (cos(θ), sin(θ))
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4
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1018
docs/index.html
1018
docs/index.html
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@ -33,8 +33,8 @@
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<meta property="og:description" content="Rewriting the tech stack" />
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||||
<meta property="og:locale" content="en-GB" />
|
||||
<meta property="og:type" content="article" />
|
||||
<meta property="og:published_time" content="Thu Sep 17 2020 17:00:00 +00:00" />
|
||||
<meta property="og:updated_time" content="Fri Apr 09 2021 09:39:33 +00:00" />
|
||||
<meta property="og:published_time" content="Fri Sep 18 2020 00:00:00 +00:00" />
|
||||
<meta property="og:updated_time" content="Mon Apr 19 2021 18:35:47 +00:00" />
|
||||
<meta property="og:author" content="Mike 'Pomax' Kamermans" />
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<meta property="og:section" content="Bézier Curves" />
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<meta property="og:tag" content="Bézier Curves" />
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@ -33,8 +33,8 @@
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<meta property="og:description" content="Curve-circle intersections" />
|
||||
<meta property="og:locale" content="en-GB" />
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||||
<meta property="og:type" content="article" />
|
||||
<meta property="og:published_time" content="Sat Nov 21 2020 16:00:00 +00:00" />
|
||||
<meta property="og:updated_time" content="Fri Apr 09 2021 09:39:33 +00:00" />
|
||||
<meta property="og:published_time" content="Sun Nov 22 2020 00:00:00 +00:00" />
|
||||
<meta property="og:updated_time" content="Mon Apr 19 2021 18:35:47 +00:00" />
|
||||
<meta property="og:author" content="Mike 'Pomax' Kamermans" />
|
||||
<meta property="og:section" content="Bézier Curves" />
|
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<meta property="og:tag" content="Bézier Curves" />
|
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|
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@ -33,7 +33,7 @@
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<meta property="og:description" content="" />
|
||||
<meta property="og:locale" content="en-GB" />
|
||||
<meta property="og:type" content="article" />
|
||||
<meta property="og:published_time" content="Fri Apr 09 2021 09:39:33 GMT-0700 (Pacific Daylight Time)" />
|
||||
<meta property="og:published_time" content="Mon Apr 19 2021 18:35:47 GMT+0000 (Coordinated Universal Time)" />
|
||||
<meta property="og:updated_time" content="" />
|
||||
<meta property="og:author" content="Mike 'Pomax' Kamermans" />
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<meta property="og:section" content="Bézier Curves" />
|
||||
|
||||
@ -6,7 +6,7 @@
|
||||
<atom:link href="https://pomax.github.io/bezierinfo" rel="self"></atom:link>
|
||||
<description>News updates for the <a href="https://pomax.github.io/bezierinfo">primer on Bézier Curves</a> by Pomax</description>
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<language>en-GB</language>
|
||||
<lastBuildDate>Fri Apr 09 2021 09:39:33 +00:00</lastBuildDate>
|
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<lastBuildDate>Mon Apr 19 2021 18:35:47 +00:00</lastBuildDate>
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<image>
|
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<url>https://pomax.github.io/bezierinfo/images/og-image.png</url>
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<title>A Primer on Bézier Curves</title>
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@ -23,7 +23,7 @@
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<p>— <a href="https://twitter.com/TheRealPomax">Pomax</a></p>
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||||
</description>
|
||||
<pubDate>Sat Nov 21 2020 16:00:00 +00:00</pubDate>
|
||||
<pubDate>Sun Nov 22 2020 00:00:00 +00:00</pubDate>
|
||||
<guid>2020-11-22.html</guid>
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||||
</item><item>
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||||
<title>Rewriting the tech stack</title>
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@ -119,7 +119,7 @@ draw() {
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<p>— <a href="https://twitter.com/TheRealPomax">Pomax</a></p>
|
||||
|
||||
</description>
|
||||
<pubDate>Thu Sep 17 2020 17:00:00 +00:00</pubDate>
|
||||
<pubDate>Fri Sep 18 2020 00:00:00 +00:00</pubDate>
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||||
<guid>2020-09-18.html</guid>
|
||||
</item>
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||||
</channel>
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|
||||
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65
package-lock.json
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65
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|
||||
"dev": true
|
||||
},
|
||||
"@types/color-name": {
|
||||
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|
||||
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|
||||
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|
||||
@ -741,12 +735,6 @@
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"is-symbol": "^1.0.2"
|
||||
}
|
||||
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|
||||
"escalade": {
|
||||
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|
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|
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@ -1275,19 +1263,18 @@
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|
||||
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|
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|
||||
"integrity": "sha512-9VGjrMsG1vePxcSweQsN20KY/c4zN0h9fLjqAbwbPfahM3t+NL+M9HC8xeXG2I8pX5NoamTGNuomEUFI7fcUjA==",
|
||||
"version": "4.3.0",
|
||||
"resolved": "https://registry.npmjs.org/ansi-styles/-/ansi-styles-4.3.0.tgz",
|
||||
"integrity": "sha512-zbB9rCJAT1rbjiVDb2hqKFHNYLxgtk8NURxZ3IZwD3F6NtxbXZQCnnSi1Lkx+IDohdPlFp222wVALIheZJQSEg==",
|
||||
"dev": true,
|
||||
"requires": {
|
||||
"@types/color-name": "^1.1.1",
|
||||
"color-convert": "^2.0.1"
|
||||
}
|
||||
},
|
||||
"cliui": {
|
||||
"version": "7.0.1",
|
||||
"resolved": "https://registry.npmjs.org/cliui/-/cliui-7.0.1.tgz",
|
||||
"integrity": "sha512-rcvHOWyGyid6I1WjT/3NatKj2kDt9OdSHSXpyLXaMWFbKpGACNW8pRhhdPUq9MWUOdwn8Rz9AVETjF4105rZZQ==",
|
||||
"version": "7.0.4",
|
||||
"resolved": "https://registry.npmjs.org/cliui/-/cliui-7.0.4.tgz",
|
||||
"integrity": "sha512-OcRE68cOsVMXp1Yvonl/fzkQOyjLSu/8bhPDfQt0e0/Eb283TKP20Fs2MqoPsr9SwA595rRCA+QMzYc9nBP+JQ==",
|
||||
"dev": true,
|
||||
"requires": {
|
||||
"string-width": "^4.2.0",
|
||||
@ -1335,9 +1322,9 @@
|
||||
"dev": true
|
||||
},
|
||||
"string-width": {
|
||||
"version": "4.2.0",
|
||||
"resolved": "https://registry.npmjs.org/string-width/-/string-width-4.2.0.tgz",
|
||||
"integrity": "sha512-zUz5JD+tgqtuDjMhwIg5uFVV3dtqZ9yQJlZVfq4I01/K5Paj5UHj7VyrQOJvzawSVlKpObApbfD0Ed6yJc+1eg==",
|
||||
"version": "4.2.2",
|
||||
"resolved": "https://registry.npmjs.org/string-width/-/string-width-4.2.2.tgz",
|
||||
"integrity": "sha512-XBJbT3N4JhVumXE0eoLU9DCjcaF92KLNqTmFCnG1pf8duUxFGwtP6AD6nkjw9a3IdiRtL3E2w3JDiE/xi3vOeA==",
|
||||
"dev": true,
|
||||
"requires": {
|
||||
"emoji-regex": "^8.0.0",
|
||||
@ -1366,30 +1353,38 @@
|
||||
}
|
||||
},
|
||||
"y18n": {
|
||||
"version": "5.0.1",
|
||||
"resolved": "https://registry.npmjs.org/y18n/-/y18n-5.0.1.tgz",
|
||||
"integrity": "sha512-/jJ831jEs4vGDbYPQp4yGKDYPSCCEQ45uZWJHE1AoYBzqdZi8+LDWas0z4HrmJXmKdpFsTiowSHXdxyFhpmdMg==",
|
||||
"version": "5.0.8",
|
||||
"resolved": "https://registry.npmjs.org/y18n/-/y18n-5.0.8.tgz",
|
||||
"integrity": "sha512-0pfFzegeDWJHJIAmTLRP2DwHjdF5s7jo9tuztdQxAhINCdvS+3nGINqPd00AphqJR/0LhANUS6/+7SCb98YOfA==",
|
||||
"dev": true
|
||||
},
|
||||
"yargs": {
|
||||
"version": "16.0.3",
|
||||
"resolved": "https://registry.npmjs.org/yargs/-/yargs-16.0.3.tgz",
|
||||
"integrity": "sha512-6+nLw8xa9uK1BOEOykaiYAJVh6/CjxWXK/q9b5FpRgNslt8s22F2xMBqVIKgCRjNgGvGPBy8Vog7WN7yh4amtA==",
|
||||
"version": "16.2.0",
|
||||
"resolved": "https://registry.npmjs.org/yargs/-/yargs-16.2.0.tgz",
|
||||
"integrity": "sha512-D1mvvtDG0L5ft/jGWkLpG1+m0eQxOfaBvTNELraWj22wSVUMWxZUvYgJYcKh6jGGIkJFhH4IZPQhR4TKpc8mBw==",
|
||||
"dev": true,
|
||||
"requires": {
|
||||
"cliui": "^7.0.0",
|
||||
"escalade": "^3.0.2",
|
||||
"cliui": "^7.0.2",
|
||||
"escalade": "^3.1.1",
|
||||
"get-caller-file": "^2.0.5",
|
||||
"require-directory": "^2.1.1",
|
||||
"string-width": "^4.2.0",
|
||||
"y18n": "^5.0.1",
|
||||
"yargs-parser": "^20.0.0"
|
||||
"y18n": "^5.0.5",
|
||||
"yargs-parser": "^20.2.2"
|
||||
},
|
||||
"dependencies": {
|
||||
"escalade": {
|
||||
"version": "3.1.1",
|
||||
"resolved": "https://registry.npmjs.org/escalade/-/escalade-3.1.1.tgz",
|
||||
"integrity": "sha512-k0er2gUkLf8O0zKJiAhmkTnJlTvINGv7ygDNPbeIsX/TJjGJZHuh9B2UxbsaEkmlEo9MfhrSzmhIlhRlI2GXnw==",
|
||||
"dev": true
|
||||
}
|
||||
}
|
||||
},
|
||||
"yargs-parser": {
|
||||
"version": "20.0.0",
|
||||
"resolved": "https://registry.npmjs.org/yargs-parser/-/yargs-parser-20.0.0.tgz",
|
||||
"integrity": "sha512-8eblPHTL7ZWRkyjIZJjnGf+TijiKJSwA24svzLRVvtgoi/RZiKa9fFQTrlx0OKLnyHSdt/enrdadji6WFfESVA==",
|
||||
"version": "20.2.7",
|
||||
"resolved": "https://registry.npmjs.org/yargs-parser/-/yargs-parser-20.2.7.tgz",
|
||||
"integrity": "sha512-FiNkvbeHzB/syOjIUxFDCnhSfzAL8R5vs40MgLFBorXACCOAEaWu0gRZl14vG8MR9AOJIZbmkjhusqBYZ3HTHw==",
|
||||
"dev": true
|
||||
}
|
||||
}
|
||||
|
||||
Loading…
x
Reference in New Issue
Block a user