fmt

src/Advanced/Fast Inverse Root/parts/02 float.typ

@@ -31,7 +31,9 @@ Rewrite the following binary decimals in base 10: \
 #definition(label: "floatbits")
 Another way we can interpret a bit string is as a _signed floating-point decimal_, or a `float` for short. \
 Floats represent a subset of the real numbers, and are interpreted as follows: \
-#note([The following only applies to floats that consist of 32 bits. We won't encounter any others today.])
+#note(
+  [The following only applies to floats that consist of 32 bits. We won't encounter any others today.],
+)
 
 #align(center, box(inset: 2mm, cetz.canvas({
   import cetz.draw: *

src/Advanced/Fast Inverse Root/parts/03 approx.typ

@@ -131,9 +131,9 @@ $
   We then have:
   $
     log_2(x_f) & = log_2 ( 2^(E-127) times (1 + (F) / (2^23)) ) \
-               & = E - 127 + log_2(1 + F / (2^23))              \
-               & approx E-127 + F / (2^23) + epsilon            \
-               & = 1 / (2^23)(2^23 E + F) - 127 + epsilon       \
+               & = E - 127 + log_2(1 + F / (2^23)) \
+               & approx E-127 + F / (2^23) + epsilon \
+               & = 1 / (2^23)(2^23 E + F) - 127 + epsilon \
                & = 1 / (2^23)(x_i) - 127 + epsilon
   $
 ])

src/Advanced/Fast Inverse Root/parts/04 quake.typ

@@ -156,9 +156,9 @@ float Q_rsqrt( float number ) {
 Using a calculator and some basic algebra, we can find the $epsilon$ this code uses: \
 #note[Remember, #text[`0x5f3759df`] is $6240089$ in hexadecimal.]
 $
-  (3 times 2^22) (127 - epsilon) &= 6240089 \
-  (127 - epsilon) &= 126.955 \
-  epsilon &= 0.0450466
+  (3 times 2^22) (127 - epsilon) & = 6240089 \
+                 (127 - epsilon) & = 126.955 \
+                         epsilon & = 0.0450466
 $
 
 So, $0.045$ is the $epsilon$ used by Quake. \