From 5016c6ae91830683b1309f455c980db8ee97a966 Mon Sep 17 00:00:00 2001
From: fredrikr79 <fredrikrobertsen7@gmail.com>
Date: Sun, 12 Oct 2025 18:44:10 +0200
Subject: [PATCH] ex8: init

---
 exercise8/lib.typ  | 33 +++++++++++++++++++++++++++++++++
 exercise8/main.typ | 36 ++++++++++++++++++++++++++++++++++++
 2 files changed, 69 insertions(+)
 create mode 100644 exercise8/lib.typ
 create mode 100644 exercise8/main.typ

diff --git a/exercise8/lib.typ b/exercise8/lib.typ
new file mode 100644
index 0000000..4cd6078
--- /dev/null
+++ b/exercise8/lib.typ
@@ -0,0 +1,33 @@
+#let title(cont, size: 18pt) = align(center)[
+  #text(size: size * 2, weight: "bold")[#underline[#cont]]
+]
+
+#let butcher(s, nums) = {
+  let nums = nums.map(x => if type(x) == float or type(x) == int {
+    $#x$
+  } else { x })
+  table(
+    stroke: (x, y) => if x == 0 and y == s {
+      (right: 0.7pt + black, top: 0.7pt + black)
+    } else if x == 0 {
+      (right: 0.7pt + black)
+    } else if y == s {
+      (top: 0.7pt + black)
+    },
+    align: (x, y) => (
+      if x > 0 { center } else { left }
+    ),
+    columns: s + 1,
+    $0$, ..range(s).map(x => none), // first row
+    ..range(2, s + 1)
+      .map(i => {
+        let p(i) = calc.floor(i * i / 2 + i / 2 - 1)
+        (
+          nums.slice(p(i - 1), p(i - 1) + i),
+          range(i, s + 1).map(x => none),
+        ).flatten()
+      })
+      .flatten(),
+    none, ..nums.rev().slice(0, s).rev() // last row
+  )
+}
diff --git a/exercise8/main.typ b/exercise8/main.typ
new file mode 100644
index 0000000..8d9e0bb
--- /dev/null
+++ b/exercise8/main.typ
@@ -0,0 +1,36 @@
+#import "lib.typ"
+
+#let FONT_SIZE = 18pt;
+
+#set page(paper: "a4", margin: (x: 2.6cm, y: 2.8cm), numbering: "1 : 1")
+#set par(justify: true, leading: 0.52em)
+
+#set text(font: "FreeSerif", size: FONT_SIZE, lang: "us")
+#show math.equation: set text(
+  font: "Euler Math",
+  size: (FONT_SIZE * 1.0),
+  lang: "en",
+)
+
+#set heading(numbering: none)
+#show heading.where(level: 1): it => {
+  rect(inset: FONT_SIZE / 2)[#it]
+}
+
+these are my solutions to the eighth exercise set of TMA4135.
+
+this document was created using
+#link("https://typst.app/")[#text(blue.darken(5%))[typst]].
+
+#lib.title(size: FONT_SIZE)[exercise 7]
+
+\
+
+#outline(title: none)
+
+#pagebreak()
+
+= problem 1
+
+#include "problem1.typ"
+