From b14283b17bd49b31bb9507c116d6bf041df83c7f Mon Sep 17 00:00:00 2001 From: Kian Kasad Date: Fri, 13 Dec 2024 20:30:24 -0500 Subject: [PATCH] Switch to new template --- .gitignore | 3 + LICENSE | 2 +- Makefile | 25 +- examples/computer-science.pdf | Bin 237472 -> 56720 bytes examples/computer-science/main.typ | 330 ++++++++- examples/computer-science/p5_truth_table.csv | 16 + examples/computer-science/problem1.typ | 65 -- examples/computer-science/problem2.typ | 51 -- examples/computer-science/problem3.typ | 57 -- examples/computer-science/problem4.typ | 60 -- examples/computer-science/switch.y | 39 ++ examples/english.pdf | Bin 67890 -> 20034 bytes examples/english/main.typ | 2 +- .../fonts/EB Garamond/EBGaramond-Bold.ttf | Bin 563708 -> 0 bytes .../EB Garamond/EBGaramond-BoldItalic.ttf | Bin 496724 -> 0 bytes .../EB Garamond/EBGaramond-ExtraBold.ttf | Bin 563204 -> 0 bytes .../EBGaramond-ExtraBoldItalic.ttf | Bin 495860 -> 0 bytes .../fonts/EB Garamond/EBGaramond-Italic.ttf | Bin 493056 -> 0 bytes .../fonts/EB Garamond/EBGaramond-Medium.ttf | Bin 563752 -> 0 bytes .../EB Garamond/EBGaramond-MediumItalic.ttf | Bin 496176 -> 0 bytes .../fonts/EB Garamond/EBGaramond-Regular.ttf | Bin 560884 -> 0 bytes .../fonts/EB Garamond/EBGaramond-SemiBold.ttf | Bin 564048 -> 0 bytes .../EB Garamond/EBGaramond-SemiBoldItalic.ttf | Bin 496896 -> 0 bytes khw.typ | 649 +++++------------- 24 files changed, 578 insertions(+), 721 deletions(-) create mode 100644 .gitignore create mode 100644 examples/computer-science/p5_truth_table.csv delete mode 100644 examples/computer-science/problem1.typ delete mode 100644 examples/computer-science/problem2.typ delete mode 100644 examples/computer-science/problem3.typ delete mode 100644 examples/computer-science/problem4.typ create mode 100644 examples/computer-science/switch.y delete mode 100644 examples/fonts/EB Garamond/EBGaramond-Bold.ttf delete mode 100644 examples/fonts/EB Garamond/EBGaramond-BoldItalic.ttf delete mode 100644 examples/fonts/EB Garamond/EBGaramond-ExtraBold.ttf delete mode 100644 examples/fonts/EB Garamond/EBGaramond-ExtraBoldItalic.ttf delete mode 100644 examples/fonts/EB Garamond/EBGaramond-Italic.ttf delete mode 100644 examples/fonts/EB Garamond/EBGaramond-Medium.ttf delete mode 100644 examples/fonts/EB Garamond/EBGaramond-MediumItalic.ttf delete mode 100644 examples/fonts/EB Garamond/EBGaramond-Regular.ttf delete mode 100644 examples/fonts/EB Garamond/EBGaramond-SemiBold.ttf delete mode 100644 examples/fonts/EB Garamond/EBGaramond-SemiBoldItalic.ttf diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..673c55f --- /dev/null +++ b/.gitignore @@ -0,0 +1,3 @@ +*.pdf +!/manual.pdf +!examples/*.pdf diff --git a/LICENSE b/LICENSE index bfc40f7..be154cf 100644 --- a/LICENSE +++ b/LICENSE @@ -1,4 +1,4 @@ -Copyright 2024 Kian Kasad (kian@kasad.com) +Copyright (C) 2024 Kian Kasad Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: diff --git a/Makefile b/Makefile index ddaf633..7813d1a 100644 --- a/Makefile +++ b/Makefile @@ -1,21 +1,30 @@ -EXAMPLES := \ - computer-science \ - english +EXAMPLES_DIR := examples +TYPST := typst -FONTSDIR := examples/fonts -TYPST := typst +EXAMPLES_TARGETS := $(patsubst %,%.pdf,$(filter-out %.pdf,$(wildcard $(EXAMPLES_DIR)/*))) -EXAMPLES_TARGETS := $(patsubst %,examples/%.pdf,$(EXAMPLES)) +.PHONY: all +all: examples manual.pdf .PHONY: examples examples: $(EXAMPLES_TARGETS) +manual.pdf: manual.typ khw.typ + $(info TYPST $@) + @$(TYPST) compile --root . $< $@ + .SECONDEXPANSION: -examples/%.pdf: examples/%/main.typ $(wildcard examples/%/*.typ) khw.typ +examples/%.pdf: examples/%/main.typ $(wildcard examples/%/*) khw.typ $(info TYPST $@) - @'$(TYPST)' compile --root . --font-path '$(FONTSDIR)' $< $@ + @$(TYPST) compile --root . $< $@ .PHONY: clean clean: $(info RM $(EXAMPLES_TARGETS)) @rm -f $(EXAMPLES_TARGETS) + $(info RM manual.pdf) + 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z--JfVk}_a$ntJ~%-xHN!i!=v?5YE=4^Az|S+C!px7*FJuPklcpFdIi z8xx6sCK@?Y&;U~?I1%}7-yKe`l`!m7vNNot%B>T2pHHa@pKf!SIj7MT&2TAmG3PQ; zDU%SwBn;Mf|3xUn#D(Cm+u-*j;|dd6GlWvB>8^)S*GnoMV5)=oWS;pwUT!^qp?{OR%yq0&eO{M2i6&pk++~9kJ z7`sWG@C$*z<44%f*MU2XfW)Kpw^|D#JO=FJS2V*t|pUCxLQb(8VGnqCOE0Zxtw#8%? zhyKs&GYnIvp*Wteo*bX$z&nX%V~3S(wl!wUzS)=@QXhE9(fPv3_5m72X}(M|Y^h)H z+5A-}FG~#|_e(U#AksV_x?@b)LJ&ULK4Ormxl3$fOJfcu6E|z}{ZeM>vLBdLQ)`Q| zXP0h%xwoQr kAIS7J(mby6%pP=-oKOyK60fW{PNGEYKZKf8qbWrDKU9qgQ2+n{ diff --git a/examples/computer-science/main.typ b/examples/computer-science/main.typ index d71d74f..143206e 100644 --- a/examples/computer-science/main.typ +++ b/examples/computer-science/main.typ @@ -1,13 +1,327 @@ -#import "../../khw.typ": khw +#import "../../khw.typ": khw, problem, parts +#import "@preview/km:0.1.0": karnaugh #show: khw.with( - title: [Example Homework: Computer Science], - course: [CS 123], + title: [Homework 3], + course: "CS 250", author: "Kian Kasad", - newpages: true, ) -#include "problem1.typ" -#include "problem2.typ" -#include "problem3.typ" -#include "problem4.typ" +// Problem 1 {{{1 +#problem(points: 5)[ + Describe three different ways "caching" as a general + concept is used in hardware and in software. +] + +Caching is used... + +1. to speed up access to physical memory by storing + recently/frequently used data in a faster storage media + located on the CPU die called the memory cache; + +2. to speed up access to frequently-used RAM pages by + storing them in memory rather than in the swap space (on + disk); + +3. to speed up web browsing by storing frequently-accessed + pages or assets locally so they don't need to be + re-fetched frequently. + +// Problem 2 {{{1 +#problem(points: 5)[ + When allocating memory initialized to zero, explain... + + how this ordeal is accelerated by using virtual + memory; + + how the page table is prepared and what are the values + of the page bits initially; + + what happens during the page fault. +] + +#parts[ + All zero-initialized pages in virtual memory map to the + same zero-initialized page in physical memory. This way, + when a new zero-initialized page is allocated, a page + table entry needs to be allocated to point to the + physical zero page, but a new page does not need to be + cleared until the page is modified (copy-on-write). +][ + The page bits are all zero initially to represent + a page filled with zeroes, except for the read permission + bit, which is set. +][ + During the page fault, the operating system allocates + a new page in physical memory and clears it, i.e. sets + all bits to 0. It then replaces the entry in the page + table with the number of this new page, makes it + modifiable, and re-executes the instruction which + triggered this page fault. +] + +// Problem 3 {{{1 +#problem(points: 5)[ + When `fork(2)` is called to create a new process, + explain... + + how this ordeal is accelerated by using virtual + memory; + + how the page table is prepared and what are the values + of the page bits initially; + + what happens during the page fault. +] + +#parts[ + Spawning a child process is accelerated by using virtual + memory because the entire virtual memory space of the + parent process does not need to be copied. For a process + using lots of memory, this could be very + expensive. Instead, only the page table needs to be + copied, and the pages themselves can be copied as they + are modified (copy-on-write). +][ + The page table initially has the same values as the + parent process's page table, except all pages are marked + as non-modifiable so the operating system can implement + copy-on-write behavior for the forked process. +][ + When a newly-forked process modifies one of its pages, + a page fault is triggered because the page is marked + non-modifiable when the new process is created. The + operating system will then handle this page fault by: + + creating a new page which is a copy of the one + modified; + + replacing the page requested with this new page in the + process's page table; + + marking the new page as modifiable; + + retrying the instruction which modified this page so + that it can now proceed with the copied-on-demand page. +] + +// Problem 4 {{{1 +#problem(points: 5)[ + Explain how the following operations may benefit or may + not benefit from memory cache: + + Accessing local variables. + + Sorting using bubble sort. + + Sorting using heap sort. +] + +#parts[ + Accessing local variables will benefit from caching due + to their high locality of reference. Local variables are + located in a fixed place in memory and are typically + accessed frequently within a function. Thus they are + likely to be cached on first use and are likely to stay + in the cache due to their frequent use. This makes + reading/writing their values fast, because the underlying + memory does not need to be accessed. +][ + Sorting using bubble sort will benefit from caching + because it uses many sequential operations. It accesses + each element of the array being sorted in order, + resulting in high locality of reference. Thus it is + likely that each element is already in the cache from + looking up the previous element, resulting in fast + operations. +][ + Heap sort will not benefit much from caching, because it + accesses array elements in a non-uniform (specifically + non-sequential) way. Since heap sort performs large jumps + around the array, it is unlikely that elements being + accessed are already cached, since it is rare that two + elements being compared/swapped are nearby in the array. + As a result, caching does not help much. +] + +// Problem 5 {{{1 +#problem(points: 20)[ + Given the truth table in @p5-truth-table, + + draw a Karnaugh map, + + find the maximum groups of 1, 2, 4, 8 elements in the + Karnaugh map, + + write the boolean function for $A$ and write it as + a sum of products. +] + +// Truth table {{{2 +#figure( + table( + columns: 17, + fill: (x, y) => if x == 0 { gray.lighten(60%) }, + ..{ + let data = csv("p5_truth_table.csv") + let transposed = array.zip(..data) + let labels = ($w$, $x$, $y$, $z$, $A(w,x,y,z)$) + let with_label = array.zip(labels, transposed).map(array.flatten) + with_label.flatten() + } + ), + caption: [ + Initial truth table for Problem 5. + ], +) +// 2}}} + +#parts[ + See @p5-karnaugh-map. +][ + See @p5-karnaugh-map. +][ + $A(w,x,y,z) + = w' x + w' y' z' + x' y z + w y z' + $ +] + +#figure( + karnaugh(("wx", "yz"), + implicants: ( + (1, 0, 4, 1), + (0, 0, 1, 2), + (3, 2, 1, 2), + (2, 3, 1, 2), + ), + ( + (1, 0, 1, 0), + (1, 1, 1, 1), + (0, 0, 0, 1), + (0, 0, 1, 1), + ), + show-zero: true, + ), + caption: [Karnaugh map for $A(w,x,y,z)$.] +) + +// Problem 6 {{{1 +#problem(points: 20)[ + Write in x86-64 assembly the code to implement the + Fibonacci sequence. + + ```c + int fib(int n) { + if (n == 0 || n == 1) { + return n; + } else { + return fib(n - 1) + fib(n - 2); + } + } + ``` +] + +Since the C code uses ```c int``` for variables, I use +mostly 4-byte instructions/registers here. I still use 8 +bytes for pushing and popping so that the stack is aligned +properly, but the upper 4 bytes don't get used when I +manipulate the values. + +```asm +.section .text +.global fib +fib: + pushq %rbp # Set up stack frame + movq %rsp, %rbp + testl $(~1), %edi # Test if (n & ~1) is 0, i.e. n is 0 or 1 + movl %edi, %eax + jz return + decl %edi # Decrement %edi to get (n - 1) + pushq %rdi # Save (n - 1) on the stack (twice for alignment) + pushq %rdi + call fib # Call fib(n - 1) + popq %rdi # Retrieve saved (n - 1) into %rdi + pushq %rax # Save result of fib(n - 1) + decl %edi # Decrement %edi to get (n - 2) + call fib # Call fib(n - 2) + popq %rdx # Retrieve saved result of fib(n - 1) and add to + addl %edx, %eax # fib(n - 2) result +return: + leave # Restore stack and return from function + ret # At this point, the return value + # is already in %eax +``` + +// Problem 7 {{{1 +#problem(points: 20)[ + Write the x86-64 assembly code that your compiler will + generate for the following expressions. Assume that `x`, + `y`, and `z` are global variables of type `long`. + + + ```c y = z + 3 * x``` + + ```c y = (x > 1)``` + + ```c + x = 0; + while (x < y) { + x = x + 1; + } + ``` +] + +#parts[ + ```asm + movq z(%rip), %rbx # push z + movq $3, %r10 # push 3 + movq x(%rip), %r13 # push x + imulq %r13, %r10 # 3 * x + addq %r10, %rbx # result + z + movq %rbx, y(%rip) # y = result + ``` +][ + ```asm + movq x(%rip), %rbx # push x + movq $1, %r10 # push 1 + cmpq %r10, %rbx # compare x to 1 + setg %bl # set to 1 iff > + movzbq %bl, %rbx # extend to 8 bytes + movq %rbx, y(%rip) # y = result + ``` +][ + ```asm + movq $0, x(%rip) # x = 0; + while_start_0: # start of while loop + movq x(%rip), %rbx # push x + movq y(%rip), %r10 # push y + cmpq %r10, %rbx # compare x to y + setl %bl # set to 1 iff < + movzbq %bl, %rbx # extend to 8 bytes + testq %rbx, %rbx # check condition + jz while_end_0 # exit loop if false + movq x(%rip), %rbx # push x + movq $1, %r10 # push 1 + addq %r10, %rbx # x + 1 + movq %rbx, x(%rip) # x = result + jmp while_start_0 # go back to loop condition + while_end_0: # end of while loop + ``` +] + +// Problem 8 {{{1 +#problem(points: 20, newpage: true)[ + We want to implement a simplified ```c switch()``` + statement in the compiler. E.g.: + ```c + switch (x) { + case 1: y = 5; break; + case 2: y = 4; break; + default: y = 3; break; + } + ``` + + It will work similar to the switch statement in C, but + simplified. In the example, given the value of ```c x```, + it will compare if ```c x == 1```, and if true, execute + ```c y = 5```. Otherwise, it will go to the next + comparison, ```c x == 2```, and if true, execute + ```c y = 4```. If all of these fail, it will execute the + default ```c y = 3```. Fill up the actions in the + grammar. Add comments to document your code. There is + always "```c break;```" at the end of each option. ] + + +This solution requires the definition of a variable +```c int current_switch;``` in the preamble in order to +support nested switch statements. Additionally, a final +`RCURLY` had to be added to the end of the +`switch_statement` pattern, because that was missing +and would cause a syntax error. + +#text(size: 10pt, raw(read("switch.y"), lang: "c")) + +// 1}}} + +// vim: set formatoptions+=n textwidth=59 foldmethod=marker foldmarker={{{,}}}: diff --git a/examples/computer-science/p5_truth_table.csv b/examples/computer-science/p5_truth_table.csv new file mode 100644 index 0000000..9d37ff0 --- /dev/null +++ b/examples/computer-science/p5_truth_table.csv @@ -0,0 +1,16 @@ +0,0,0,0,1 +0,0,0,1,0 +0,0,1,0,0 +0,0,1,1,1 +0,1,0,0,1 +0,1,0,1,1 +0,1,1,0,1 +0,1,1,1,1 +1,0,0,0,0 +1,0,0,1,0 +1,0,1,0,1 +1,0,1,1,1 +1,1,0,0,0 +1,1,0,1,0 +1,1,1,0,1 +1,1,1,1,0 diff --git a/examples/computer-science/problem1.typ b/examples/computer-science/problem1.typ deleted file mode 100644 index 5246fea..0000000 --- a/examples/computer-science/problem1.typ +++ /dev/null @@ -1,65 +0,0 @@ -#import "../../khw.typ": problem, parts, boxed - -#problem(newpage: false)[ - Consider the given code segment. _(Omitted here.)_ -] - -#parts[ - *When $f(k)$ is called, - how many times is it recursively called in total? - Include the initial call and give the answer in terms of $k$.* - - $f(k)$ calls $f(k-1)$ recursively until the argument equals 0. - Thus the number of times $f(k)$ is called is - $T(k) = T(k-1) + 1$, $T(0) = 1$. - - $ - T(k) - &= T(k-1) + 1 \ - &= T(k-2) + 1 + 1 \ - &= T(k-3) + 1 + 1 + 1 \ - &= T(k-n) + n \ - &= T(0) + k && "when" n = k \ - T(k) &= k + 1 - $ -][ - *What does $f(k)$ return? - Give your answer in terms of $k$.* - - Based on the code, we can define $f(k)$ mathematically as - $f(k) = f(k-1) + 3k + 2, f(0)=2$. - - $ - f(k) &= f(k-1) + 3k + 2 \ - &= (f(k-2) + 3(k-1) + 2) + 3k + 2 \ - &= ((f(k-3) + 3(k-2) + 2) + 3(k-1) + 2) + 3k + 2 \ - &= f(k-3) + 3(k-2) + 2 + 3(k-1) + 2 + 3k + 2 \ - &= f(k-n) + 3 sum_(i=k-n+1)^(k) i + n(2) \ - $ - - Now let $n=k$. - - $ - f(k) &= f(0) + 3 sum_(i=1)^(k) i + 2k \ - &= 2 + 3 dot k(k+1)/2 + 2k \ - // &= (4+3k^2+3k+4k)/2 \ - f(k) &= (3k^2 + 7k + 4)/2 - $ -][ - *How many times is $f$ called in total? - Give the answer in terms of $n$.* - - $f(j)$ is called once from each iteration of the loop. - The loop runs from $j=1$ to $j=n$. - Thus the number of times $f$ is called is the following sum, - where $T(n)$ represents the number of times $f$ is called when invoked as $f(n)$. - We know from part *(a)* that $T(n) = n+1$. - - $ - sum_(j=1)^(n) T(j) - &= sum_(j=1)^n (j+1) - = sum_(j=1)^n j + sum_(j=1)^n 1 - = n(n+1)/2 + n - = (n^2 + 3n)/2 - $ -] diff --git a/examples/computer-science/problem2.typ b/examples/computer-science/problem2.typ deleted file mode 100644 index 94069ca..0000000 --- a/examples/computer-science/problem2.typ +++ /dev/null @@ -1,51 +0,0 @@ -#import "../../khw.typ" - -#import khw: problem, parts, todo -#import khw: algo, i, d, comment, call - -#problem[ - #lorem(20) -] - -#parts[ - * #lorem(30) * - - #lorem(50) - - #lorem(10) - - #let sub = math.italic("sub") - #algo( - title: "Exponentiate", - parameters: ("n",), - )[ - if $n = 0$ then #i \ - return $182$ - #d \ - - $#sub <- zwnj$#call("Exponentiate")$(n-1)$ \ - return #call("MulMod")$(sub, sub)$ - ] -][ - * #lorem(12) * - - #lorem(50) - - #lorem(20) - - We will now prove that $E(n) = 182^((2^n)) mod 2000$ using induction. - Let $P(n)$ be the statement $E(n) = 182^((2^n)) mod 2000$. - - *Basis step:* - - #lorem(20) - - *Inductive step:* - - #lorem(50) - - *Conclusion:* - - Since $P(0)$ is true and $P(n-1) -> P(n)$, - by induction on $n$, $P(n)$ is true for all $n in NN^+ union {0}$. -] diff --git a/examples/computer-science/problem3.typ b/examples/computer-science/problem3.typ deleted file mode 100644 index a5b5fb0..0000000 --- a/examples/computer-science/problem3.typ +++ /dev/null @@ -1,57 +0,0 @@ -#import "../../khw.typ": problem, radialgraph - -#problem[ - #lorem(70) -] - -Proof by cases. -Below, a node in a graph represents a TA and an edge between two nodes represents a handshake between the two TAs. - -=== Case 1: Everyone shook hands - -#lorem(50) - -=== Case 2: Not everyone shook hands - -#lorem(60) - -#lorem(80) - -#grid( - columns: 2, - column-gutter: 1cm, - [#figure( - radialgraph( - radius: 1.5cm, - nodes: ("A", "B", "C", "D"), - edges: ( - ("A", ("C", "D")), - ("B", ("C", "D")), - ) - ), - caption: [ - A graph which demonstrates that having two disjoint pairs of TAs who have not shaken hands contradicts UTA Bob's observation and thus is impossible. - ${A, B}$ and ${C, D}$ are the pairs of TAs who have not shaken hands. - ] - ) ], - [#figure( - radialgraph( - radius: 1.5cm, - nodes: ("A", "B", "C", "D"), - edges: ( - ("C", ("A", "B", "D")), - ) - ), - caption: [ - A graph which demonstrates that having two pairs of TAs who have not shaken hands is possible as long as one TA is in both pairs. - ${A, B}$ and ${A, D}$ are the pairs of TAs who have not shaken hands. - ] - ) ] -) - -#lorem(20) -@fig:two-overlapping-pairs demonstrates that this still satisfies UTA Bob's observation, so it can exist. - -#lorem(50) - -#lorem(40) diff --git a/examples/computer-science/problem4.typ b/examples/computer-science/problem4.typ deleted file mode 100644 index cd4f164..0000000 --- a/examples/computer-science/problem4.typ +++ /dev/null @@ -1,60 +0,0 @@ -#import "../../khw.typ": problem, parts, radialgraph - -#problem[ - For the following graph questions, either give an example graph or prove that there are none. - For parts *(d)* and *(e)*, note that sequence of indegree and outdegree corresponds to the same vertices. -] - -#parts[ - *#lorem(10)* - #h(1fr) - - #figure( - radialgraph( - nodes: ("A", "B", "C", "D"), - edges: ( - ("A", "B"), - ("B", "C"), - ("C", "D"), - ("D", "A"), - ("A", "C"), - ), - radius: 1.8cm, - ), - caption: [Graph for problem 4.a.] - ) -][ - *#lorem(12)* - #h(1fr) - - #figure( - radialgraph( - directed: true, - nodes: ("A", "B", "C", "D"), - edges: ( - ("D", ("A", "B", "C")), - ("A", ("B", "C")), - ("B", ("A", "C")), - ("C", ("A", "B")), - ), - ), - caption: [Graph for problem 4.b.] - ) -][ - *#lorem(15)* - #h(1fr) - - #figure( - radialgraph( - nodes: ("A", "B", "C", "D", "E"), - edges: ( - ("A", ("B", "C", "D", "E")), - ("B", ("C", "D", "E")), - ("C", ("D", "E")), - ("D", "E"), - ), - radius: 2cm - ), - caption: [Graph for problem 4.c.] - ) -] diff --git a/examples/computer-science/switch.y b/examples/computer-science/switch.y new file mode 100644 index 0000000..5a77ec4 --- /dev/null +++ b/examples/computer-science/switch.y @@ -0,0 +1,39 @@ +switch_statement: + SWITCH LPARENT expression { + /* Save the previous value of current_switch so that it can be restored + * at the end of this switch statement. This ensures that + * current_switch always contains the label number of the current + * switch statement (if inside one). This allows us to avoid problems + * with nested switches because the inner switch will change + * current_switch, then restore it to its previous value (i.e. that of + * the outer switch) before we return to continue processing the outer + * switch statement. */ + $1 = current_switch; + current_switch = nlabel++; + } RPARENT LCURLY case_list { + /* Get rid of the expression being compared now that we've finished + * processing all the cases. */ + top--; + } DEFAULT COLON statement BREAK SEMICOLON { + fprintf(fasm, "switch_end_%d:\n", current_switch); + /* Restore current_switch. */ + current_switch = $1; + } RCURLY +; + +case_item: + CASE expression COLON { + $1 = nlabel++; + fprintf(fasm, "\tcmpq %%%s, %%%s\n", regStk[top - 2], regStk[top - 1]); + top--; + fprintf(fasm, "\tjnz case_end_%d\n", $1); + } statement BREAK SEMICOLON { + fprintf(fasm, "\tjmp switch_end_%d\n", current_switch); + fprintf(fasm, "case_end_%d:\n", $1); + } +; + +case_list: + case_item + | case_list case_item +; 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made available under the terms of 3-Clause BSD License. -// See the LICENSE file included in this repository. -// SPDX-License-Identifier: BSD-3-Clause -// +/* + * khw - Kian's Homework Template for Typst + * + * Copyright (C) 2024 Kian Kasad . + * This code is made available under the terms of 3-Clause + * BSD License. See the LICENSE file included in this + * repository. + * + * SPDX-License-Identifier: BSD-3-Clause + */ + +// Function to check argument types {{{1 +#let checktype(var, ..types, message) = { + assert( + types.pos().contains(type(var)) or + types.pos().contains(var), + message: message + ) +} + +// Stateful variables used to track configurable options {{{1 +#let _khw-problem-prefix = state("_khw-problem-prefix") +#let _khw-parts-numbering = state("_khw-parts-numbering") +#let _khw-newpages = state("_khw-newpages") +#let _khw-align-numbers = state("_khw-align-numbers") -#import "@preview/cetz:0.2.2" -#import "@preview/algo:0.3.3": algo, comment, i, d +// Problem counter {{{1 +#let _khw-problem-counter = counter("_khw-problem-counter") +#let problemnr = _khw-problem-counter // For exporting + +// Document template function {{{1 +#let khw( + title: none, + course: none, + author: none, + date: datetime.today(), + newpages: false, + problem-prefix: "Problem", + parts-numbering: "(a)", + align-numbers: center + horizon, + body +) = { + // Check arguments {{{2 + checktype(title, none, content, str, "Title must be none, content, or string.") + checktype(course, content, str, none, "Course must be none, content, or string.") + checktype(author, content, str, none, "Author must be none, content, or string.") + checktype(date, datetime, none, "Date must be none or datetime.") + checktype(newpages, bool, "Newpages must be a boolean.") + checktype(problem-prefix, str, "Problem prefix must a string.") + checktype(parts-numbering, str, function, "Parts numbering must be a string or function. See numbering().") + checktype(align-numbers, alignment, "Number alignment must be an alignment.") + checktype(body, content, "Body must be content.") + + // Document metadata {{{2 + if title != none { + set document( + title: title, + author: author, + date: date, + ) + } -// Stateful variable to control whether problems -// appear on new pages -#let _khw-newpages = state("_khw:newpages", false) + // Set configurable state {{{2 + _khw-problem-prefix.update(problem-prefix) + _khw-parts-numbering.update(parts-numbering) + _khw-newpages.update(newpages) + _khw-align-numbers.update(align-numbers) -// Stateful variable to control the default problem name -#let _khw-problem-name = state("_khw:problem-name", "Problem") + // Format/layout settings {{{2 + set par(justify: true) + set table(stroke: 0.6pt) + set math.equation(numbering: "(1)") + set page(numbering: "1") + + // Title block {{{2 + if title != none { + align(center, { + text(weight: "bold", size: 18pt, { + if course != none { + course + [ --- ] + } + title + }) + parbreak() + author + }) + v(1cm, weak: true) + } -// Todo macro -#let todo = box( - stroke: red, - outset: 4pt, - [To do...] -) + // Document body {{{2 + body +} + +// To-do placeholder {{{1 +#let todo = text(stroke: red, fill: red, size: 18pt)[TODO] + +// Problem function {{{1 +#let problem( + number: auto, + points: none, + newpage: auto, + align-number: auto, + outlined: true, + _content +) = context { + // Check arguments + checktype(number, auto, str, content, "Number must be auto, string, or content.") + checktype(points, none, str, int, float, content, "Points must be string, integer, float, or content.") + checktype(newpage, auto, bool, "Newpage must be auto or boolean.") + checktype(align-number, auto, alignment, "Align-number must be auto or alignment.") + checktype(outlined, bool, "Outlined must be a boolean.") + checktype(_content, content, "Problem content must be content.") + + let num = number + if number == auto { + _khw-problem-counter.step() + num = context _khw-problem-counter.display() + } + + if (newpage == auto and _khw-newpages.get() == true) or (newpage == true) { + pagebreak() + } + v(24pt, weak: true) + block(breakable: false, { + line(length: 100%) + if outlined { + show heading: it => none + heading(numbering: none)[#_khw-problem-prefix.get() #num] + } + grid( + columns: (auto, 1fr), + gutter: 12pt, + align: top + left, + text(size: 16pt, weight: "bold", _khw-problem-prefix.get()), + grid.cell( + rowspan: 2, + { + if points != none { + [_(#points points)_] + h(4pt) + } + set enum(numbering: "(a)", tight: true) + _content + } + ), + grid.cell( + align: if align-number == auto { + _khw-align-numbers.get() + } else { + align-number + }, + text(size: 48pt, weight: "black", num) + ), + ) + line(length: 100%) + }) +} + +// Parts function {{{1 +#let parts( + breakable: false, + ..args +) = context { + checktype(breakable, bool, "Breakable must be boolean.") + enum( + numbering: _khw-parts-numbering.get(), + tight: false, + ..args.named(), + ..args.pos().map(it => { + set enum(numbering: "i.") + block(breakable: breakable, width: 100%, it) + }) + ) +} -// Boxed function +// Equation without number {{{1 +#let nonumeq = math.equation.with(numbering: none) + +// Boxed function {{{1 #let boxed = box.with( stroke: 0.4pt + black, outset: 3pt ) -// Customized version of algo() from @preview/algo -#let algo = (..args, body) => { +// Pseudocode blocks {{{1 +#let kalgo = (..args, body) => { + import "@preview/algo:0.3.3": algo let named = args.named() // Add bold "procedure" in front of algorithm title @@ -59,449 +211,6 @@ } #let call = smallcaps // Helper for calling functions -// Problem function -#let _khw-problem-number = counter("_khw:problem-number") -#let problem = ( - name: auto, - newpage: auto, - increment: 1, - label: none, - content -) => { - // Increment counter - _khw-problem-number.update(n => n + increment) - - // Page break if requested - context if ((newpage == auto) and (_khw-newpages.get() == true)) or (newpage == true) { - pagebreak(weak: true) - } - - // Line above - line(length: 100%, stroke: 0.4pt) - v(-6pt) +// 1}}} - // Problem heading/number and text - let problem-numbering = (..nums) => { - if name == auto { - _khw-problem-name.display() - } else { - name - } + numbering(" 1.", ..nums) - } - grid( - columns: (auto, 1fr), - column-gutter: 1em, - [#heading( - numbering: problem-numbering, - outlined: true, - bookmarked: false, - supplement: none, - none - ) #label], - content - ) - - // Line below - v(-6pt) - line(length: 100%, stroke: 0.4pt) -} - - -// Problem parts function -#let parts = (..args) => { - enum( - numbering: (..nums) => [*#numbering("(a.i)", ..nums)*], - tight: false, - ..args.named(), - ..args.pos().map(it => { - if type(it) == content { - set enum(numbering: "i)") - block(breakable: false, it) - } else { - it - } - }) - ) -} - - -// Document template function -#let khw( - title: none, - course: none, - author: none, - date: datetime.today(), - newpages: false, - problem-name: "Problem", - doc -) = { - // This has to be the first thing in the function body - set page( - paper: "us-letter", - margin: 1in, - numbering: "1", - ) - - // Save the value of newpages - if newpages { - _khw-newpages.update(true) - } - - // Save the value of problem-name - _khw-problem-name.update(problem-name) - - set text( - font: "EB Garamond", - size: 11pt, - number-type: "lining", - stylistic-set: 06, - ) - - set par( - leading: 5pt, - ) - - // Smaller figure captions - show figure.caption: it => text(size: text.size - 1.5pt, it) - - - set align(center) - - // Title - assert(title != none) - text(size: 18pt, weight: "medium", title) - linebreak() - - // Course - if course != none { - text(size: 14pt, course) - linebreak() - } - - // Author - if author != none { - author - linebreak() - } - - // Date - let nicedate = none - if date != none { - nicedate = date.display("[month repr:long] [day padding:none], [year]") - nicedate - linebreak() - } - - parbreak() - - // Heading style - show heading.where(level: 1): it => { - text(size: 11pt, weight: "bold", it) - } - - // Rest of document - set align(left) - set par(justify: true) - set pagebreak(weak: true) - show "%%author%%": author - show "%%title%%": title - if (date != none) { - show "%%date%%": nicedate - } - doc -} - -// Alias for khw -#let doc = khw - -// Function to lay out objects in a circle for CeTZ. -// The objects and method used to draw them are completely generic. -// -// Parameters: -// -// radius: length -// Radius of the circle in which to lay out the objects. -// -// items: array -// Array of objects to lay out. -// -// draw_item: function (coordinate, item) => () -// Callback function used to draw each item. -// This callback takes two arguments (in this order): the coordinate at which -// to draw the object, and the object to draw. -// This function is called for each element of the "items" array. -// -// start: angle [default: 90deg] -// The angle at which the first item will be placed. The angle is measured -// counterclockwise from the east direction. -// -// end: angle [default: auto] -// The angle at which the last item will be placed. The angle is measured -// counterclockwise from the east direction. If set to auto, a default of -// (start + 360deg) is used. -#let radiallayout = ( - radius, - items, - draw_item, - start: 90deg, - end: auto, -) => { - if end == auto { - end = start + 360deg - } - import cetz.draw: * - let n = items.len() - let delta = (end - start) / n - for i in range(n) { - let item = items.at(i) - // CeTZ uses (angle, radius) instead of (radius, angle) - draw_item((start + i * delta, radius), item) - } -} - -// Function to generate a (di)graph in a radial layout. -// Each node in the graph is placed along a circle, and edges are drawn between -// them as specified. -// -// Parameters: -// -// directed: bool [default: false] -// Whether or not the graph is directed. If true, arrows will be drawn at the -// destination end of each edge. -// -// overlay: bool [default: false] -// Whether to overlap multiple edges between the same nodes. If true, edges -// will be overlapped, i.e. multiple edges will appear as one edge. If false, -// each successive edge will be bent so it is distinguishable from the other -// edges. -// -// nodes: array of strings or array of (string, string) pairs [default: ()] -// Specifies the nodes of the graph. -// Each element describes a node. A single string is used as both the ID and -// the label for the node. A pair of strings, i.e. an array of length 2, -// specifies the ID and the label for the node, in that order. -// -// edges: array of (string, string) or (string, array of strings) pairs [default: ()] -// Specifies the edges of the graph. -// Each element is a pair. The first element of this pair is the ID of the -// source node for an edge. The second element is either the destination -// node's ID, or an array of IDs, in which case an edge will be drawn from the -// source to each destination. -// -// radius: length [default: 1.8cm] -// The radius of the circle on which the nodes will be placed. -// -// radial-start: angle [default: 90deg] -// The angle at which the first node will be placed. The angle is measured -// counterclockwise from the east direction. -// -// radial-end: angle [default: auto] -// The angle at which the last node will be placed. The angle is measured -// counterclockwise from the east direction. If set to auto, a default of -// (radial-start + 360deg) is used. -// -// text-args: dictionary [default: (:)] -// Additional arguments to be passed to Typst's text() function for the node -// labels. -// -// circle-args: dictionary [default: (radius: 0.45cm)] -// Additional arguments to be passed to CeTZ's cetz.draw.circle() function -// used to draw each node. -// -// mark-args: dictionary [default: (symbol: ">", fill: black, scale: 1.4)] -// Additional arguments used to configure the arrowheads on directed edges. -// It is used as follows: -// cetz.draw.set-style(mark: (start: mark-args, end: mark-args)) -// -// style-args: dictionary [default: (:)] -// Additional arguments to be passed to CeTZ's cetz.draw.set-style() function. -// -// additional-content: array [default: ()] -// Additional content to be drawn after the graph is drawn. Accepts a code -// block in which cetz.draw.* functions can be called. I.e. this argument -// should be the same as the argument to cetz.canvas(). -#let radialgraph = ( - directed: false, - overlay: false, - nodes: (), - edges: (), - radius: 1.8cm, - radial-start: 90deg, - radial-end: auto, - text-args: (:), - circle-args: (radius: 0.45cm), - mark-args: (symbol: ">", fill: black, scale: 1.4), - style-args: (:), - additional-content: (), -) => { - // Create drawing - cetz.canvas({ - import cetz.draw: * - - // Set style of elements - set-style( - stroke: 0.65pt + black, // Default stroke - ..style-args, // User-supplied style specifications - circle: circle-args, // Circle style (for nodes) - ) - - // Convert all nodes in list from strings to tuples (id, label) if necessary - nodes = nodes.map(node-spec => { - if type(node-spec) != array { - (node-spec, node-spec) - } else { - node-spec.slice(0, 2) - } - }) - - // Function to draw a node. - // Takes a position and a node, which can be a string or a tuple (id, label) - let draw-node = (pos, (node-id, node-label)) => { - circle(pos, name: node-id) - content(node-id, text(..text-args, node-label)) - } - - // Lay out nodes using radiallayout() and draw-node() - radiallayout( - radius, - nodes, - draw-node, - start: radial-start, - end: radial-end, - ) - - // Dictionary matrix which represents the graph graph-matrix.at(x).at(y) (x - // and y are node IDs) is a tuple of (count, drawn), where count is the - // number of edges from x to y and drawn is the number of those that have - // been drawn. - let graph-matrix = (:) - for (from-id, _) in nodes { - graph-matrix.insert(from-id, (:)) - for (to-id, _) in nodes { - graph-matrix.at(from-id).insert(to-id, (0, 0)) - } - } - - // Convert all destinations to arrays - edges = edges.map(((src, dst-spec)) => { - if type(dst-spec) != array { - dst-spec = (dst-spec,) - } - (src, dst-spec) - }) - - // Iterate through edge specifications - for (src, dst-spec) in edges { - // Panic if the source or destinations are not in the list of nodes - let node-ids = nodes.map(it => it.at(0)) - for node in (src, ..dst-spec) { - if not node-ids.contains(node) { - panic("Node " + node + "used in edge list but not found in list of nodes") - } - } - - // Add each edge to the graph matrix - for dst in dst-spec { - graph-matrix.at(src).at(dst).at(0) += 1 - } - } - - // Draw edges - for (src, dest-spec) in edges { - for dst in dest-spec { - // Get the number of edges between src and dst. "count" will be the total - // number of edges to be drawn between these nodes (in both directions), - // and "drawn" will be the number already drawn. - let (count, drawn) = graph-matrix.at(src).at(dst) - let (rcount, rdrawn) = graph-matrix.at(dst).at(src) - count += rcount - drawn += rdrawn - - // To properly bend edges, we have to make all edges go in the same - // direction. To do this, we make every edge go from the node with the - // lesser ID to the node with the greater ID. - let reverse = false - if src < dst { - (src, dst) = (dst, src) - reverse = true - } - - // From here on, we can use "drawn" as the index of the current edge - // being drawn (starting at 0) - - // Calculate the bend of this edge - let bend-step = 0.2cm - let (offset, angle) = if calc.rem(count, 2) == 0 { - // Even total number of edges: every edge is bent - let pair = calc.quo(drawn, 2) + 1 // The index of the pair this edge belongs to, starting at 1 - if calc.rem(drawn, 2) == 0 { - // Even index edge, bends left - (bend-step * pair, 90deg) - } else { - // Odd index edge, bends right - (bend-step * pair, -90deg) - } - } else { - // Odd total number of edges: first edge is straight, all other edges are bent - let pair = calc.quo(drawn - 1, 2) + 1 // The index of the pair this edge belongs to, starting at 1 - if drawn == 0 { - // First edge is straight - (0, 0deg) - } else if calc.rem(drawn - 1, 2) == 0 { - // Even index edge - (bend-step / 2 + bend-step * pair, 90deg) - } else { - // Odd index edge - (bend-step / 2 + bend-step * pair, -90deg) - } - } - - if directed { - let key = if reverse { - "start" - } else { - "end" - } - let mark-arg-dict = (start: (), end: ()) - mark-arg-dict.insert(key, mark-args) - set-style(mark: mark-arg-dict) - } - - // Arc functions fail if the midpoint is on a straight line, so we must check for that - if (overlay == true) or (offset == 0) or (angle == 0) { - line(src, dst) - } else { - // Calculate midpoint of the edge using interpolation coordinates - let midpoint = ( - (src, 50%, dst), // Midpoint of the line from src to dst - offset, angle, - dst - ) - - // Draw an invisible arc from src to dst through the midpoint, and - // find the points where it intersects the borders of src and dst. - intersections("i", - src, - dst, - hide(arc-through(src, midpoint, dst)) - ) - - // Draw the arc between the two intersection points, passing through - // the midpoint. - arc-through("i.0", midpoint, "i.1") - } - - // Once we've drawn our edge, increment the drawn count - graph-matrix.at(src).at(dst).at(1) += 1 - - // If we swapped the src and dst, swap them back before processing the next edge - if reverse { - (src, dst) = (dst, src) - } - - } - } - - additional-content - }) -} +// vim: set formatoptions+=n textwidth=59 foldmethod=marker foldmarker={{{,}}}:

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