enhancements to the latex cards

backup-1
Antonio De Lucreziis 2 years ago
parent 52ac60bad5
commit 566c24eeea

@ -0,0 +1,35 @@
class CardDSL
def initialize
@blocks = []
end
def text(content)
@blocks << { type: "text", content: content }
end
def code(content)
@blocks << { type: "code", content: content }
end
def math(content)
@blocks << { type: "math", content: content }
end
def blocks
@blocks
end
end
def print_card(&block)
card = CardDSL.new
card.instance_eval(&block)
card.blocks.each { |block| p block }
# JS.global[:rubyOutputs].push(card)
end
print_card do
text "Hello, world!"
code "puts 'Hello, world!'"
math "\\begin{bmatrix} 1 & 2 \\\\ 3 & 4 \\end{bmatrix}"
end

@ -35,11 +35,35 @@ Vector.class_eval do
end
end
def print_step(label, state)
puts "Ruby: #{label} #{state}"
class CardDSL
def initialize
@blocks = []
end
def text(content)
@blocks << { type: "text", content: content }
end
def code(content)
@blocks << { type: "code", content: content }
end
def math(content)
@blocks << { type: "math", content: content }
end
def blocks
@blocks
end
end
def print_card(title, &block)
card = CardDSL.new
card.instance_eval(&block)
JS.global[:rubyOutputs].push({
label: label,
state: state,
title: title,
blocks: card.blocks,
})
end
@ -51,41 +75,63 @@ def run(config)
# set of initial indices
basis = [1, 2] # [2, 3], ruby is 0-indexed
print_step "Initial", {
"c": c.to_latex,
"A": mat.to_latex,
"b": b.to_latex,
"\\mathcal B": "\\{ #{basis.map { |i| i + 1 }.join(", ")} \\}",
}
print_card "Initial" do
math <<-LATEX
\\begin{aligned}
c &= #{c.to_latex} \\\\
A &= #{mat.to_latex} \\\\
b &= #{b.to_latex} \\\\
\\mathcal B &= \\{ #{basis.map { |i| i + 1 }.join(", ")} \\}
\\end{aligned}
LATEX
end
10.times do
mat_basis = mat.submatrix(basis, (0...mat.column_count))
mat_basis_inv = mat_basis.inv
print_step "Step", {
"\\mathcal B": "\\{ #{basis.map { |i| i + 1 }.join(", ")} \\}",
"A_\\mathcal B": mat_basis.to_latex,
"A_\\mathcal B^{-1}": mat_basis_inv.to_latex,
}
print_card "Step" do
math <<-LATEX
\\begin{aligned}
\\mathcal B &= \\{ #{basis.map { |i| i + 1 }.join(", ")} \\} \\\\
A_\\mathcal B &= #{mat_basis.to_latex} \\\\
A_\\mathcal B^{-1} &= #{mat_basis_inv.to_latex}
\\end{aligned}
LATEX
end
b_basis = Vector.elements(basis.map { |i| b[i] })
x_bar = mat_basis_inv * b_basis
print_step "Step", {
"b_\\mathcal B": b_basis.to_latex,
"\\bar x": "#{mat_basis_inv.to_latex} #{b_basis.to_latex} = #{x_bar.to_latex}",
}
print_card "Step" do
math <<-LATEX
\\begin{aligned}
b_\\mathcal B &= #{b_basis.to_latex} \\\\
\\bar x &= #{mat_basis_inv.to_latex} #{b_basis.to_latex} = #{x_bar.to_latex}
\\end{aligned}
LATEX
end
y_bar_basis = mat_basis_inv * c
print_step "Step", {
"\\bar y_\\mathcal B": "#{mat_basis_inv.to_latex} #{c.to_latex} = #{y_bar_basis.to_latex}",
}
print_card "Step" do
math <<-LATEX
\\begin{aligned}
\\bar y_\\mathcal B &= #{mat_basis_inv.to_latex} #{c.to_latex} = #{y_bar_basis.to_latex}
\\end{aligned}
LATEX
end
if y_bar_basis.all? { |y| y >= 0 }
print_step "Step", {
"\\bar y_\\mathcal B": "#{y_bar_basis.to_latex} \\geq 0",
}
print_card "Step" do
text "Optimal solution found."
math <<-LATEX
\\begin{aligned}
\\bar y_\\mathcal B = #{y_bar_basis.to_latex} \\geq 0
\\end{aligned}
LATEX
end
break
end
@ -94,33 +140,28 @@ def run(config)
h = basis[(0...basis.size).to_a.find { |i| y_bar_basis[i] < 0 }]
# print_step "Step", {
# "\\mathcal B": "\\{ #{basis.map { |i| i + 1 }.join(", ")} \\}",
# "\\bar y_\\mathcal B": y_bar_basis.to_latex,
# "h": "\\min \\{ i \\in \\mathcal B : \\bar y_i < 0 \\} = #{h + 1}",
# }
print_step "Step", [
"Lorem ipsum dolor sit amet, consectetur adipiscing elit.",
%Q(
$$
\\begin{align*}
print_card "Step" do
math <<-LATEX
\\begin{aligned}
\\mathcal B &= \\{ #{basis.map { |i| i + 1 }.join(", ")} \\} \\\\
\\bar y_\\mathcal B &= #{y_bar_basis.to_latex} \\\\
h &= \\min \\{ i \\in \\mathcal B : \\bar y_i < 0 \\} = #{h + 1}
\\end{align*}
$$
),
]
\\end{aligned}
LATEX
end
u = Vector.basis(size: basis.size, index: h)
xi = -mat_basis_inv * u
print_step "Step", {
"u_{\\mathcal B(h)}": "(e_h)_\\mathcal B = #{u.to_latex}",
"\\xi": "#{mat_basis_inv.to_latex} #{u.to_latex} = #{xi.to_latex}",
}
print_card "Step" do
math <<-LATEX
\\begin{aligned}
u_{\\mathcal B(h)} &= (e_h)_\\mathcal B = #{u.to_latex} \\\\
\\xi &= A_\\mathcal B^{-1} u_{\\mathcal B(h)} = #{mat_basis_inv.to_latex} #{u.to_latex} = #{xi.to_latex}
\\end{aligned}
LATEX
end
basis_op = (0...mat.row_count).to_a - basis
@ -128,9 +169,15 @@ def run(config)
d = mat_basis_op * xi
print_step "Step", {
"d": "#{mat_basis_op.to_latex} #{xi.to_latex} = #{d.to_latex} \\leq 0",
}
print_card "Step" do
math <<-LATEX
\\begin{aligned}
N &= \\{ #{basis.map { |i| i + 1 }.join(", ")} \\} \\setminus \\{ #{h + 1} \\} \\\\
A_N &= #{mat_basis_op.to_latex} \\\\
d &= A_N \\xi = #{mat_basis_op.to_latex} #{xi.to_latex} = #{d.to_latex}
\\end{aligned}
LATEX
end
if d.all? { |d| d <= 0 }
break

@ -2,8 +2,6 @@ import 'katex/dist/katex.min.css'
import katex from 'katex'
export const KaTeX = ({ source }) => {
console.log(source)
return (
<div
class="katex"

@ -1,14 +1,30 @@
import { KaTeX } from './KaTeX.jsx'
const StepBlock = ({ type, content }) => {
if (!['text', 'code', 'math'].includes(type)) {
throw new Error(`Invalid step block type: ${type}`)
}
return type === 'text' ? (
<p>{content}</p>
) : type === 'code' ? (
<pre>
<code>{content}</code>
</pre>
) : type === 'math' ? (
<KaTeX source={content} />
) : null
}
export const Steps = ({ steps }) => {
return (
<div class="steps">
{steps.map((step, i) => (
{steps.map(step => (
<div class="step">
<div class="label">{step.label}</div>
<div class="state">
{Object.entries(step.state).map(([key, value]) => (
<KaTeX source={`${key} = ${value}`} />
<div class="title">{step.title}</div>
<div class="content">
{step.blocks.map((block, i) => (
<StepBlock key={i} {...block} />
))}
</div>
</div>

@ -17,7 +17,10 @@ export async function evalRuby(code) {
await preloadRuby()
window.rubyOutputs = []
console.time('Ruby eval')
const result = vmInstance.eval(code)
console.timeEnd('Ruby eval')
return {
result,

@ -57,7 +57,7 @@ h6 {
border-radius: 0.75rem;
background: #fff;
border: 2px solid #333;
border: 2px solid #888;
width: 10rem;
min-height: calc(10rem * 3 / 4);
@ -95,7 +95,7 @@ h6 {
min-width: 20rem;
& > .label {
& > .title {
font-weight: 500;
font-size: 15px;
}

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