From 9ecc78db1ba1cb888b7893393fe89655f69f2193 Mon Sep 17 00:00:00 2001
From: MacDue <macdue@dueutil.tech>
Date: Thu, 6 Jul 2023 19:12:00 +0100
Subject: [PATCH] LibGfx: Add AffineTransform::determinant()

---
 Userland/Libraries/LibGfx/AffineTransform.cpp | 21 ++++++++++++-------
 Userland/Libraries/LibGfx/AffineTransform.h   |  1 +
 2 files changed, 14 insertions(+), 8 deletions(-)

diff --git a/Userland/Libraries/LibGfx/AffineTransform.cpp b/Userland/Libraries/LibGfx/AffineTransform.cpp
index 7f6f7f4747..f0479fcf51 100644
--- a/Userland/Libraries/LibGfx/AffineTransform.cpp
+++ b/Userland/Libraries/LibGfx/AffineTransform.cpp
@@ -134,18 +134,23 @@ AffineTransform& AffineTransform::rotate_radians(float radians)
     return *this;
 }
 
+float AffineTransform::determinant() const
+{
+    return a() * d() - b() * c();
+}
+
 Optional<AffineTransform> AffineTransform::inverse() const
 {
-    auto determinant = a() * d() - b() * c();
-    if (determinant == 0)
+    auto det = determinant();
+    if (det == 0)
         return {};
     return AffineTransform {
-        d() / determinant,
-        -b() / determinant,
-        -c() / determinant,
-        a() / determinant,
-        (c() * f() - d() * e()) / determinant,
-        (b() * e() - a() * f()) / determinant,
+        d() / det,
+        -b() / det,
+        -c() / det,
+        a() / det,
+        (c() * f() - d() * e()) / det,
+        (b() * e() - a() * f()) / det,
     };
 }
 
diff --git a/Userland/Libraries/LibGfx/AffineTransform.h b/Userland/Libraries/LibGfx/AffineTransform.h
index beebcdc855..693f6652b5 100644
--- a/Userland/Libraries/LibGfx/AffineTransform.h
+++ b/Userland/Libraries/LibGfx/AffineTransform.h
@@ -68,6 +68,7 @@ public:
     AffineTransform& skew_radians(float x_radians, float y_radians);
     AffineTransform& multiply(AffineTransform const&);
 
+    float determinant() const;
     Optional<AffineTransform> inverse() const;
 
 private: