/*!
 * LaTeX.css (https://latex.now.sh/)
 *
 * Source: https://github.com/vincentdoerig/latex-css
 * Licensed under MIT (https://github.com/vincentdoerig/latex-css/blob/master/LICENSE)
*/

@font-face {
    font-family: 'Latin Modern';
    font-style: normal;
    font-weight: normal;
    font-display: swap;
    src: url('./fonts/LM-regular.woff2') format('woff2'),
      url('./fonts/LM-regular.woff') format('woff'),
      url('./fonts/LM-regular.ttf') format('truetype');
  }
  
  @font-face {
    font-family: 'Latin Modern';
    font-style: italic;
    font-weight: normal;
    font-display: swap;
    src: url('./fonts/LM-italic.woff2') format('woff2'),
      url('./fonts/LM-italic.woff') format('woff'),
      url('./fonts/LM-italic.ttf') format('truetype');
  }
  
  @font-face {
    font-family: 'Latin Modern';
    font-style: normal;
    font-weight: bold;
    font-display: swap;
    src: url('./fonts/LM-bold.woff2') format('woff2'),
      url('./fonts/LM-bold.woff') format('woff'),
      url('./fonts/LM-bold.ttf') format('truetype');
  }
  
  @font-face {
    font-family: 'Latin Modern';
    font-style: italic;
    font-weight: bold;
    font-display: swap;
    src: url('./fonts/LM-bold-italic.woff2') format('woff2'),
      url('./fonts/LM-bold-italic.woff') format('woff'),
      url('./fonts/LM-bold-italic.ttf') format('truetype');
  }
  
  @font-face {
    font-family: 'Libertinus';
    font-style: normal;
    font-weight: normal;
    font-display: swap;
    src: url('./fonts/Libertinus-regular.woff2') format('woff2');
  }
  
  @font-face {
    font-family: 'Libertinus';
    font-style: italic;
    font-weight: normal;
    font-display: swap;
    src: url('./fonts/Libertinus-italic.woff2') format('woff2');
  }
  
  @font-face {
    font-family: 'Libertinus';
    font-style: normal;
    font-weight: bold;
    font-display: swap;
    src: url('./fonts/Libertinus-bold.woff2') format('woff2');
  }
  
  @font-face {
    font-family: 'Libertinus';
    font-style: italic;
    font-weight: bold;
    font-display: swap;
    src: url('./fonts/Libertinus-bold-italic.woff2') format('woff2');
  }
  
  @font-face {
    font-family: 'Libertinus';
    font-style: normal;
    font-weight: 600;
    font-display: swap;
    src: url('./fonts/Libertinus-semibold.woff2') format('woff2');
  }
  
  @font-face {
    font-family: 'Libertinus';
    font-style: italic;
    font-weight: 600;
    font-display: swap;
    src: url('./fonts/Libertinus-semibold-italic.woff2') format('woff2');
  }
  
  /* Box sizing rules */
  *,
  *::before,
  *::after {
    box-sizing: border-box;
  }
  
  :root {
    --body-color: hsl(0, 5%, 10%);
    --body-bg-color: hsl(210, 20%, 98%);
    --link-visited: hsl(0, 100%, 33%);
    --link-focus-outline: hsl(220, 90%, 52%);
    --pre-bg-color: hsl(210, 28%, 93%);
    --kbd-bg-color: hsl(210, 5%, 100%);
    --kbd-border-color: hsl(210, 5%, 70%);
    --table-border-color: black;
    --sidenote-target-border-color: hsl(55, 55%, 70%);
    --footnotes-border-color: hsl(0, 0%, 39%);
  }
  
  .latex-dark {
    --body-color: hsl(0, 0%, 86%);
    --body-bg-color: hsl(0, 0%, 16%);
    --link-visited: hsl(196 80% 77%);
    --link-focus-outline: hsl(215, 63%, 73%);
    --pre-bg-color: hsl(0, 1%, 25%);
    --kbd-bg-color: hsl(0, 0%, 16%);
    --kbd-border-color: hsl(210, 5%, 70%);
    --table-border-color: white;
    --sidenote-target-border-color: hsl(0, 0%, 59%);
    --footnotes-border-color: hsl(0, 0%, 59%);
    --proof-symbol-filter: invert(80%);
  }
  
  @media (prefers-color-scheme: dark) {
     .latex-dark-auto {
      --body-color: hsl(0, 0%, 86%);
      --body-bg-color: hsl(0, 0%, 16%);
      --link-visited: hsl(196 80% 77%);
      --link-focus-outline: hsl(215, 63%, 73%);
      --pre-bg-color: hsl(0, 1%, 25%);
      --kbd-bg-color: hsl(0, 0%, 16%);
      --kbd-border-color: hsl(210, 5%, 70%);
      --table-border-color: white;
      --sidenote-target-border-color: hsl(0, 0%, 59%);
      --footnotes-border-color: hsl(0, 0%, 59%);
      --proof-symbol-filter: invert(80%);
    }
  }
  
  /* Remove default margin */
  body,
  h1,
  h2,
  h3,
  h4,
  p,
  ul[class],
  ol[class],
  li,
  figure,
  figcaption,
  dl,
  dd {
    margin: 0;
  }
  
  /* Make default font-size 1rem and add smooth scrolling to anchors */
  html {
    font-size: 1rem;
  }
  @media (prefers-reduced-motion: no-preference) {
    html {
      scroll-behavior: smooth;
    }
  }
  
  body.libertinus {
    font-family: 'Libertinus', Georgia, Cambria, 'Times New Roman', Times, serif;
  }
  
  body {
    font-family: 'Latin Modern', Georgia, Cambria, 'Times New Roman', Times, serif;
    line-height: 1.8;
  
    max-width: 80ch;
    min-height: 100vh;
    overflow-x: hidden;
    margin: 0 auto;
    padding: 2rem 1.25rem;
  
    counter-reset: theorem definition sidenote-counter;
  
    color: var(--body-color);
    background-color: var(--body-bg-color);
  
    text-rendering: optimizeLegibility;
  }
  
  /* Justify and hyphenate all paragraphs */
  p {
    text-align: justify;
    hyphens: auto;
    -webkit-hyphens: auto;
    -moz-hyphens: auto;
    margin-top: 1rem;
  }
  
  /* A elements that don't have a class get default styles */
  a:not([class]) {
    text-decoration-skip-ink: auto;
  }
  
  /* Make links red */
  a,
  a:visited {
    color: var(--link-visited);
  }
  
  a:focus {
    outline-offset: 2px;
    outline: 2px solid var(--link-focus-outline);
  }
  
  /* Make images easier to work with */
  img {
    max-width: 100%;
    height: auto;
    display: block;
  }
  
  /* Inherit fonts for inputs and buttons */
  input,
  button,
  textarea,
  select {
    font: inherit;
  }
  
  /* Prevent textarea from overflowing */
  textarea {
    width: 100%;
  }
  
  /* Natural flow and rhythm in articles by default */
  article > * + * {
    margin-top: 1em;
  }
  
  /* Styles for inline code or code snippets */
  code,
  pre,
  kbd {
    font-family: Menlo, Monaco, Consolas, 'Liberation Mono', 'Courier New',
      monospace;
    font-size: 85%;
  }
  pre {
    padding: 1rem 1.4rem;
    max-width: 100%;
    overflow: auto;
    border-radius: 4px;
    background: var(--pre-bg-color);
  }
  pre code {
    font-size: 95%;
    position: relative;
  }
  kbd {
    background: var(--kbd-bg-color);
    border: 1px solid var(--kbd-border-color);
    border-radius: 2px;
    padding: 2px 4px;
    font-size: 75%;
  }
  
  /* Better tables */
  table {
    border-collapse: collapse;
    border-spacing: 0;
    width: auto;
    max-width: 100%;
    border-top: 2.27px solid var(--table-border-color);
    border-bottom: 2.27px solid var(--table-border-color);
    /* display: block; */
    overflow-x: auto; /* does not work because element is not block */
    /* white-space: nowrap; */
    counter-increment: caption;
  }
  /* add bottom border on column table headings  */
  table tr > th[scope='col'] {
    border-bottom: 1.36px solid var(--table-border-color);
  }
  /* add right border on row table headings  */
  table tr > th[scope='row'] {
    border-right: 1.36px solid var(--table-border-color);
  }
  table > tbody > tr:first-child > td,
  table > tbody > tr:first-child > th {
    border-top: 1.36px solid var(--table-border-color);
  }
  table > tbody > tr:last-child > td,
  table > tbody > tr:last-child > th {
    border-bottom: 1.36px solid var(--table-border-color);
  }
  
  th,
  td {
    text-align: left;
    padding: 0.5rem;
    line-height: 1.1;
  }
  /* Table caption */
  caption {
    text-align: left;
    font-size: 0.923em;
    /* border-bottom: 2pt solid #000; */
    padding: 0 0.25em 0.25em;
    width: 100%;
    margin-left: 0;
  }
  
  caption::before {
    content: 'Table ' counter(caption) '. ';
    font-weight: bold;
  }
  
  /* allow scroll on the x-axis */
  .scroll-wrapper {
    overflow-x: auto;
  }
  
  /* if a table is wrapped in a scroll wrapper,
    the table cells shouldn't wrap */
  .scroll-wrapper > table td {
    white-space: nowrap;
  }
  
  /* Center align the title */
  h1:first-child {
    text-align: center;
  }
  
  /* Nested ordered list for ToC */
  nav ol {
    counter-reset: item;
    padding-left: 2rem;
  }
  nav li {
    display: block;
  }
  nav li:before {
    content: counters(item, '.') ' ';
    counter-increment: item;
    padding-right: 0.85rem;
  }
  
  /* Center definitions (most useful for display equations) */
  dl dd {
    text-align: center;
  }
  
  /* Theorem */
  .theorem {
    counter-increment: theorem;
    display: block;
    margin: 12px 0;
    font-style: italic;
  }
  .theorem::before {
    content: 'Theorem ' counter(theorem) '. ';
    font-weight: bold;
    font-style: normal;
  }
  
  /* Lemma */
  .lemma {
    counter-increment: theorem;
    display: block;
    margin: 12px 0;
    font-style: italic;
  }
  .lemma::before {
    content: 'Lemma ' counter(theorem) '. ';
    font-weight: bold;
    font-style: normal;
  }
  
  /* Proof */
  .proof {
    display: block;
    margin: 12px 0;
    font-style: normal;
    position: relative;
  }
  .proof::before {
    content: 'Proof. ' attr(title);
    font-style: italic;
  }
  .proof:after {
    content: '◾️';
    filter: var(--proof-symbol-filter);
    position: absolute;
    right: -12px;
    bottom: -2px;
  }
  
  /* Definition */
  .definition {
    counter-increment: definition;
    display: block;
    margin: 12px 0;
    font-style: normal;
  }
  .definition::before {
    content: 'Definition ' counter(definition) '. ';
    font-weight: bold;
    font-style: normal;
  }
  
  /* Center align author name, use small caps and add vertical spacing  */
  .author {
    margin: 0.85rem 0;
    font-variant-caps: small-caps;
    text-align: center;
  }
  
  /* Sidenotes */
  
  .sidenote {
    font-size: 0.8rem;
    float: right;
    clear: right;
    width: 18vw;
    margin-right: -20vw;
    margin-bottom: 1em;
  }
  
  .sidenote.left {
    float: left;
    margin-left: -20vw;
    margin-bottom: 1em;
  }
  
  /* (WIP) add border when a sidenote is clicked on */
  .sidenote:target {
    border: var(--sidenote-target-border-color) 1.5px solid;
    padding: 0 .5rem;
    scroll-margin-block-start: 10rem;
  }
  
  /* sidenote counter */
  .sidenote-number {
    counter-increment: sidenote-counter;
  }
  
  .sidenote-number::after,
  .sidenote::before {
    position: relative;
    vertical-align: baseline;
  }
  
  /* add number in main content */
  .sidenote-number::after {
    content: counter(sidenote-counter);
    font-size: 0.7rem;
    top: -0.5rem;
    left: 0.1rem;
  }
  
  /* add number in front of the sidenote */
  .sidenote-number ~ .sidenote::before {
    content: counter(sidenote-counter) ' ';
    font-size: 0.7rem;
    top: -0.5rem;
  }
  
  label.sidenote-toggle:not(.sidenote-number) {
    display: none;
  }
  
  /* sidenotes inside blockquotes are indented more */
  blockquote .sidenote {
    margin-right: -24vw;
    width: 18vw;
  }
  
  
  label.sidenote-toggle {
    display: inline;
    cursor: pointer;
  }
  
  input.sidenote-toggle {
    display: none;
  }
  
  @media (max-width: 1050px) {
    label.sidenote-toggle:not(.sidenote-number) {
      display: inline;
    }
    .sidenote {
      display: none;
    }
    .sidenote-toggle:checked + .sidenote {
      display: block;
      margin: 0.5rem 1.25rem 1rem 0.5rem;
      float: left;
      left: 1rem;
      clear: both;
      width: 95%;
    }
    /* tweak indentation of sidenote inside a blockquote */
    blockquote .sidenote {
      margin-right: -25vw;
      width: 16vw;
    }
  }
  
  /* Make footnote text smaller and left align it (looks bad with long URLs) */
  .footnotes p {
    text-align: left;
    line-height: 1.5;
    font-size: 85%;
    margin-bottom: 0.4rem;
  }
  .footnotes {
    border-top: 1px solid var(--footnotes-border-color);
  }
  
  /* Center title and paragraph */
  .abstract,
  .abstract p {
    text-align: center;
    margin-top: 0;
  }
  .abstract {
    margin: 2.25rem 0;
  }
  .abstract > h2 {
    font-size: 1rem;
    margin-bottom: -0.2rem;
  }
  
  /* Format the LaTeX symbol correctly (a higher up, e lower) */
  .latex span:nth-child(1) {
    text-transform: uppercase;
    font-size: 0.75em;
    vertical-align: 0.28em;
    margin-left: -0.48em;
    margin-right: -0.15em;
    line-height: 1ex;
  }
  
  .latex span:nth-child(2) {
    text-transform: uppercase;
    vertical-align: -0.5ex;
    margin-left: -0.1667em;
    margin-right: -0.125em;
    line-height: 1ex;
  }
  
  /* Heading typography */
  h1 {
    font-size: 2.5rem;
    line-height: 3.25rem;
    margin-bottom: 1.625rem;
  }
  
  h2 {
    font-size: 1.7rem;
    line-height: 2rem;
    margin-top: 3rem;
  }
  
  h3 {
    font-size: 1.4rem;
    margin-top: 2.5rem;
  }
  
  h4 {
    font-size: 1.2rem;
    margin-top: 2rem;
  }
  
  h5 {
    font-size: 1rem;
    margin-top: 1.8rem;
  }
  
  h6 {
    font-size: 1rem;
    font-style: italic;
    font-weight: normal;
    margin-top: 2.5rem;
  }
  
  h3,
  h4,
  h5,
  h6 {
    line-height: 1.625rem;
  }
  
  h1 + h2 {
    margin-top: 1.625rem;
  }
  
  h2 + h3,
  h3 + h4,
  h4 + h5 {
    margin-top: 0.8rem;
  }
  
  h5 + h6 {
    margin-top: -0.8rem;
  }
  
  h2,
  h3,
  h4,
  h5,
  h6 {
    margin-bottom: 0.8rem;
  }
  