alexander/TUM-Formelsammlungen
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Added float diagram
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alexander
2026-02-03 23:15:10 +01:00
parent fb472fb022
commit c169e3eca4
1 changed files with 87 additions and 1 deletions
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88
src/cheatsheets/CT.typ
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@@ -1,5 +1,6 @@
#import "../lib/styles.typ" : *
#import "../lib/common_rewrite.typ" : *
#import "@preview/cetz:0.4.2"
#set page(
paper: "a4",
@@ -41,12 +42,97 @@
[Range], [Hex], [Bits],
[Upper Case], raw("0x41-0x5A"), [#raw("010XXXXX") (bit 6)],
[Lower Case], raw("0x61-0x7A"), [#raw("011XXXXX") (bit 6)],
[Ganz ASCII], raw("0x00-0x7F"), [#raw("0XXXXXXX")]
[Numbers (0-9)], raw("0x30-0x39"), [#raw("0011XXXX")],
[Ganz ASCII], raw("0x00-0x7F"), [#raw("0XXXXXXX")],
)
]
#bgBlock(fill: colorNumberSystems)[
#subHeading(fill: colorNumberSystems)[Einer-Kompilment, Zweier-Kompliment, Float (IEEE 754)]
*Float (IEEE 754)*
#cetz.canvas({
import cetz.draw : *
let cell_size = 0.3;
let manntise_stop = 22;
let exponent_start = 23;
let exponent_stop = 30;
let sign_bit = 31;
let total_bits = sign_bit + 1;
for i in range(total_bits) {
let bit = 31 - i;
rect((i*cell_size, 0), (i*cell_size+cell_size, 0.5),
fill: if bit == sign_bit { rgb("#8fff57") } else {
if ( bit >= exponent_start and bit <= exponent_stop) { rgb("#ffe057") } else { if (bit <= manntise_stop) {rgb("#57a5ff")} else { white } }
},
stroke: (thickness: 0.2mm)
)
content((i*cell_size + 0.5*cell_size, 0.25), raw(str(0)))
}
content((cell_size, 0.7), [sign], anchor: "east")
content((5*cell_size, 0.7), [Exponent (#str(exponent_stop - exponent_start + 1) bit)])
content((20*cell_size, 0.7), [Mantisse/Wert (#str(manntise_stop+1) bit)])
rect((0,0), (32*cell_size, 0.5))
content((cell_size*(total_bits - sign_bit), -0.2), anchor: "south", raw(str(sign_bit)), angle: 90deg)
content((cell_size*(total_bits - exponent_stop), -0.2), anchor: "south", raw(str(exponent_stop)), angle: 90deg)
content((cell_size*(total_bits - exponent_start), -0.2), anchor: "south", raw(str(exponent_start)), angle: 90deg)
content((cell_size*(total_bits - manntise_stop), -0.2), anchor: "south", raw(str(manntise_stop)), angle: 90deg)
content((cell_size*(total_bits), -0.2), anchor: "south", raw(str(0)), angle: 90deg)
})
#cetz.canvas({
import cetz.draw : *
let cell_size = 0.21;
let manntise_stop = 51;
let exponent_start = 52;
let exponent_stop = 62;
let sign_bit = 63;
let total_bits = sign_bit + 1;
for i in range(total_bits) {
let bit = sign_bit - i;
rect((i*cell_size, 0), (i*cell_size+cell_size, 0.5),
fill: if bit == sign_bit { rgb("#8fff57") } else {
if ( bit >= exponent_start and bit <= exponent_stop) { rgb("#ffe057") } else { if (bit <= manntise_stop) {rgb("#57a5ff")} else { white } }
},
stroke: (thickness: 0.2mm)
)
content((i*cell_size + 0.5*cell_size, 0.25), raw(str(0)))
}
content((cell_size, 0.7), [sign], anchor: "east")
content((7*cell_size, 0.7), [Exponent (#str(exponent_stop - exponent_start + 1) bit)])
content((20*cell_size, 0.7), [Mantisse/Wert (#str(manntise_stop+1) bit)])
rect((0,0), (total_bits*cell_size, 0.5))
content((cell_size*(total_bits - sign_bit), -0.2), anchor: "south", raw(str(sign_bit)), angle: 90deg)
content((cell_size*(total_bits - exponent_stop), -0.2), anchor: "south", raw(str(exponent_stop)), angle: 90deg)
content((cell_size*(total_bits - exponent_start), -0.2), anchor: "south", raw(str(exponent_start)), angle: 90deg)
content((cell_size*(total_bits - manntise_stop), -0.2), anchor: "south", raw(str(manntise_stop)), angle: 90deg)
content((cell_size*(total_bits), -0.2), anchor: "south", raw(str(0)), angle: 90deg)
})
]
#bgBlock(fill: colorProgramming)[