diff --git a/app/src/main/assets/katex/LICENSE b/app/src/main/assets/katex/LICENSE new file mode 100644 index 0000000..37c6433 --- /dev/null +++ b/app/src/main/assets/katex/LICENSE @@ -0,0 +1,21 @@ +The MIT License (MIT) + +Copyright (c) 2013-2020 Khan Academy and other contributors + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the "Software"), to deal +in the Software without restriction, including without limitation the rights +to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in all +copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +SOFTWARE. diff --git a/app/src/main/assets/katex/fonts/KaTeX_AMS-Regular.woff2 b/app/src/main/assets/katex/fonts/KaTeX_AMS-Regular.woff2 new file mode 100644 index 0000000..0acaaff Binary files /dev/null and b/app/src/main/assets/katex/fonts/KaTeX_AMS-Regular.woff2 differ diff --git a/app/src/main/assets/katex/fonts/KaTeX_Caligraphic-Bold.woff2 b/app/src/main/assets/katex/fonts/KaTeX_Caligraphic-Bold.woff2 new file mode 100644 index 0000000..f390922 Binary files /dev/null and b/app/src/main/assets/katex/fonts/KaTeX_Caligraphic-Bold.woff2 differ diff --git a/app/src/main/assets/katex/fonts/KaTeX_Caligraphic-Regular.woff2 b/app/src/main/assets/katex/fonts/KaTeX_Caligraphic-Regular.woff2 new file mode 100644 index 0000000..75344a1 Binary files /dev/null and b/app/src/main/assets/katex/fonts/KaTeX_Caligraphic-Regular.woff2 differ diff --git a/app/src/main/assets/katex/fonts/KaTeX_Fraktur-Bold.woff2 b/app/src/main/assets/katex/fonts/KaTeX_Fraktur-Bold.woff2 new file mode 100644 index 0000000..395f28b Binary files /dev/null and b/app/src/main/assets/katex/fonts/KaTeX_Fraktur-Bold.woff2 differ diff --git a/app/src/main/assets/katex/fonts/KaTeX_Fraktur-Regular.woff2 b/app/src/main/assets/katex/fonts/KaTeX_Fraktur-Regular.woff2 new file mode 100644 index 0000000..735f694 Binary files /dev/null and b/app/src/main/assets/katex/fonts/KaTeX_Fraktur-Regular.woff2 differ diff --git a/app/src/main/assets/katex/fonts/KaTeX_Main-Bold.woff2 b/app/src/main/assets/katex/fonts/KaTeX_Main-Bold.woff2 new file mode 100644 index 0000000..ab2ad21 Binary files /dev/null and b/app/src/main/assets/katex/fonts/KaTeX_Main-Bold.woff2 differ diff --git a/app/src/main/assets/katex/fonts/KaTeX_Main-BoldItalic.woff2 b/app/src/main/assets/katex/fonts/KaTeX_Main-BoldItalic.woff2 new file mode 100644 index 0000000..5931794 Binary files /dev/null and b/app/src/main/assets/katex/fonts/KaTeX_Main-BoldItalic.woff2 differ diff --git a/app/src/main/assets/katex/fonts/KaTeX_Main-Italic.woff2 b/app/src/main/assets/katex/fonts/KaTeX_Main-Italic.woff2 new file mode 100644 index 0000000..b50920e Binary files /dev/null and b/app/src/main/assets/katex/fonts/KaTeX_Main-Italic.woff2 differ diff --git a/app/src/main/assets/katex/fonts/KaTeX_Main-Regular.woff2 b/app/src/main/assets/katex/fonts/KaTeX_Main-Regular.woff2 new file mode 100644 index 0000000..eb24a7b Binary files /dev/null and b/app/src/main/assets/katex/fonts/KaTeX_Main-Regular.woff2 differ diff --git a/app/src/main/assets/katex/fonts/KaTeX_Math-BoldItalic.woff2 b/app/src/main/assets/katex/fonts/KaTeX_Math-BoldItalic.woff2 new file mode 100644 index 0000000..2965702 Binary files /dev/null and b/app/src/main/assets/katex/fonts/KaTeX_Math-BoldItalic.woff2 differ diff --git a/app/src/main/assets/katex/fonts/KaTeX_Math-Italic.woff2 b/app/src/main/assets/katex/fonts/KaTeX_Math-Italic.woff2 new file mode 100644 index 0000000..215c143 Binary files /dev/null and b/app/src/main/assets/katex/fonts/KaTeX_Math-Italic.woff2 differ diff --git a/app/src/main/assets/katex/fonts/KaTeX_SansSerif-Bold.woff2 b/app/src/main/assets/katex/fonts/KaTeX_SansSerif-Bold.woff2 new file mode 100644 index 0000000..cfaa3bd Binary files /dev/null and b/app/src/main/assets/katex/fonts/KaTeX_SansSerif-Bold.woff2 differ diff --git a/app/src/main/assets/katex/fonts/KaTeX_SansSerif-Italic.woff2 b/app/src/main/assets/katex/fonts/KaTeX_SansSerif-Italic.woff2 new file mode 100644 index 0000000..349c06d Binary files /dev/null and b/app/src/main/assets/katex/fonts/KaTeX_SansSerif-Italic.woff2 differ diff --git a/app/src/main/assets/katex/fonts/KaTeX_SansSerif-Regular.woff2 b/app/src/main/assets/katex/fonts/KaTeX_SansSerif-Regular.woff2 new file mode 100644 index 0000000..a90eea8 Binary files /dev/null and b/app/src/main/assets/katex/fonts/KaTeX_SansSerif-Regular.woff2 differ diff --git a/app/src/main/assets/katex/fonts/KaTeX_Script-Regular.woff2 b/app/src/main/assets/katex/fonts/KaTeX_Script-Regular.woff2 new file mode 100644 index 0000000..b3048fc Binary files /dev/null and b/app/src/main/assets/katex/fonts/KaTeX_Script-Regular.woff2 differ diff --git a/app/src/main/assets/katex/fonts/KaTeX_Size1-Regular.woff2 b/app/src/main/assets/katex/fonts/KaTeX_Size1-Regular.woff2 new file mode 100644 index 0000000..c5a8462 Binary files /dev/null and b/app/src/main/assets/katex/fonts/KaTeX_Size1-Regular.woff2 differ diff --git a/app/src/main/assets/katex/fonts/KaTeX_Size2-Regular.woff2 b/app/src/main/assets/katex/fonts/KaTeX_Size2-Regular.woff2 new file mode 100644 index 0000000..e1bccfe Binary files /dev/null and b/app/src/main/assets/katex/fonts/KaTeX_Size2-Regular.woff2 differ diff --git a/app/src/main/assets/katex/fonts/KaTeX_Size3-Regular.woff2 b/app/src/main/assets/katex/fonts/KaTeX_Size3-Regular.woff2 new file mode 100644 index 0000000..249a286 Binary files /dev/null and b/app/src/main/assets/katex/fonts/KaTeX_Size3-Regular.woff2 differ diff --git a/app/src/main/assets/katex/fonts/KaTeX_Size4-Regular.woff2 b/app/src/main/assets/katex/fonts/KaTeX_Size4-Regular.woff2 new file mode 100644 index 0000000..680c130 Binary files /dev/null and b/app/src/main/assets/katex/fonts/KaTeX_Size4-Regular.woff2 differ diff --git a/app/src/main/assets/katex/fonts/KaTeX_Typewriter-Regular.woff2 b/app/src/main/assets/katex/fonts/KaTeX_Typewriter-Regular.woff2 new file mode 100644 index 0000000..771f1af Binary files /dev/null and b/app/src/main/assets/katex/fonts/KaTeX_Typewriter-Regular.woff2 differ diff --git a/app/src/main/assets/katex/katex.min.css b/app/src/main/assets/katex/katex.min.css new file mode 100644 index 0000000..73a8c0a --- /dev/null +++ b/app/src/main/assets/katex/katex.min.css @@ -0,0 +1 @@ +@font-face{font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(fonts/KaTeX_AMS-Regular.woff2) format("woff2"),url(fonts/KaTeX_AMS-Regular.woff) format("woff"),url(fonts/KaTeX_AMS-Regular.ttf) format("truetype")}@font-face{font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(fonts/KaTeX_Caligraphic-Bold.woff2) format("woff2"),url(fonts/KaTeX_Caligraphic-Bold.woff) format("woff"),url(fonts/KaTeX_Caligraphic-Bold.ttf) format("truetype")}@font-face{font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(fonts/KaTeX_Caligraphic-Regular.woff2) format("woff2"),url(fonts/KaTeX_Caligraphic-Regular.woff) format("woff"),url(fonts/KaTeX_Caligraphic-Regular.ttf) format("truetype")}@font-face{font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(fonts/KaTeX_Fraktur-Bold.woff2) format("woff2"),url(fonts/KaTeX_Fraktur-Bold.woff) format("woff"),url(fonts/KaTeX_Fraktur-Bold.ttf) format("truetype")}@font-face{font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(fonts/KaTeX_Fraktur-Regular.woff2) format("woff2"),url(fonts/KaTeX_Fraktur-Regular.woff) format("woff"),url(fonts/KaTeX_Fraktur-Regular.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(fonts/KaTeX_Main-Bold.woff2) format("woff2"),url(fonts/KaTeX_Main-Bold.woff) format("woff"),url(fonts/KaTeX_Main-Bold.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(fonts/KaTeX_Main-BoldItalic.woff2) format("woff2"),url(fonts/KaTeX_Main-BoldItalic.woff) format("woff"),url(fonts/KaTeX_Main-BoldItalic.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(fonts/KaTeX_Main-Italic.woff2) format("woff2"),url(fonts/KaTeX_Main-Italic.woff) format("woff"),url(fonts/KaTeX_Main-Italic.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(fonts/KaTeX_Main-Regular.woff2) format("woff2"),url(fonts/KaTeX_Main-Regular.woff) format("woff"),url(fonts/KaTeX_Main-Regular.ttf) format("truetype")}@font-face{font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(fonts/KaTeX_Math-BoldItalic.woff2) format("woff2"),url(fonts/KaTeX_Math-BoldItalic.woff) format("woff"),url(fonts/KaTeX_Math-BoldItalic.ttf) format("truetype")}@font-face{font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(fonts/KaTeX_Math-Italic.woff2) format("woff2"),url(fonts/KaTeX_Math-Italic.woff) format("woff"),url(fonts/KaTeX_Math-Italic.ttf) format("truetype")}@font-face{font-family:"KaTeX_SansSerif";font-style:normal;font-weight:700;src:url(fonts/KaTeX_SansSerif-Bold.woff2) format("woff2"),url(fonts/KaTeX_SansSerif-Bold.woff) format("woff"),url(fonts/KaTeX_SansSerif-Bold.ttf) format("truetype")}@font-face{font-family:"KaTeX_SansSerif";font-style:italic;font-weight:400;src:url(fonts/KaTeX_SansSerif-Italic.woff2) format("woff2"),url(fonts/KaTeX_SansSerif-Italic.woff) format("woff"),url(fonts/KaTeX_SansSerif-Italic.ttf) format("truetype")}@font-face{font-family:"KaTeX_SansSerif";font-style:normal;font-weight:400;src:url(fonts/KaTeX_SansSerif-Regular.woff2) format("woff2"),url(fonts/KaTeX_SansSerif-Regular.woff) format("woff"),url(fonts/KaTeX_SansSerif-Regular.ttf) format("truetype")}@font-face{font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(fonts/KaTeX_Script-Regular.woff2) format("woff2"),url(fonts/KaTeX_Script-Regular.woff) format("woff"),url(fonts/KaTeX_Script-Regular.ttf) format("truetype")}@font-face{font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(fonts/KaTeX_Size1-Regular.woff2) format("woff2"),url(fonts/KaTeX_Size1-Regular.woff) format("woff"),url(fonts/KaTeX_Size1-Regular.ttf) format("truetype")}@font-face{font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(fonts/KaTeX_Size2-Regular.woff2) format("woff2"),url(fonts/KaTeX_Size2-Regular.woff) format("woff"),url(fonts/KaTeX_Size2-Regular.ttf) format("truetype")}@font-face{font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url(fonts/KaTeX_Size3-Regular.woff2) format("woff2"),url(fonts/KaTeX_Size3-Regular.woff) format("woff"),url(fonts/KaTeX_Size3-Regular.ttf) format("truetype")}@font-face{font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(fonts/KaTeX_Size4-Regular.woff2) format("woff2"),url(fonts/KaTeX_Size4-Regular.woff) format("woff"),url(fonts/KaTeX_Size4-Regular.ttf) format("truetype")}@font-face{font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(fonts/KaTeX_Typewriter-Regular.woff2) format("woff2"),url(fonts/KaTeX_Typewriter-Regular.woff) format("woff"),url(fonts/KaTeX_Typewriter-Regular.ttf) format("truetype")}.katex{text-rendering:auto;font:normal 1.21em KaTeX_Main,Times New Roman,serif;line-height:1.2;text-indent:0}.katex *{-ms-high-contrast-adjust:none!important;border-color:currentColor}.katex .katex-version:after{content:"0.16.9"}.katex .katex-mathml{clip:rect(1px,1px,1px,1px);border:0;height:1px;overflow:hidden;padding:0;position:absolute;width:1px}.katex .katex-html>.newline{display:block}.katex .base{position:relative;white-space:nowrap;width:-webkit-min-content;width:-moz-min-content;width:min-content}.katex .base,.katex .strut{display:inline-block}.katex .textbf{font-weight:700}.katex .textit{font-style:italic}.katex .textrm{font-family:KaTeX_Main}.katex .textsf{font-family:KaTeX_SansSerif}.katex .texttt{font-family:KaTeX_Typewriter}.katex .mathnormal{font-family:KaTeX_Math;font-style:italic}.katex .mathit{font-family:KaTeX_Main;font-style:italic}.katex .mathrm{font-style:normal}.katex .mathbf{font-family:KaTeX_Main;font-weight:700}.katex .boldsymbol{font-family:KaTeX_Math;font-style:italic;font-weight:700}.katex .amsrm,.katex .mathbb,.katex .textbb{font-family:KaTeX_AMS}.katex .mathcal{font-family:KaTeX_Caligraphic}.katex .mathfrak,.katex .textfrak{font-family:KaTeX_Fraktur}.katex .mathboldfrak,.katex .textboldfrak{font-family:KaTeX_Fraktur;font-weight:700}.katex .mathtt{font-family:KaTeX_Typewriter}.katex .mathscr,.katex .textscr{font-family:KaTeX_Script}.katex .mathsf,.katex .textsf{font-family:KaTeX_SansSerif}.katex .mathboldsf,.katex .textboldsf{font-family:KaTeX_SansSerif;font-weight:700}.katex .mathitsf,.katex .textitsf{font-family:KaTeX_SansSerif;font-style:italic}.katex .mainrm{font-family:KaTeX_Main;font-style:normal}.katex .vlist-t{border-collapse:collapse;display:inline-table;table-layout:fixed}.katex .vlist-r{display:table-row}.katex .vlist{display:table-cell;position:relative;vertical-align:bottom}.katex .vlist>span{display:block;height:0;position:relative}.katex .vlist>span>span{display:inline-block}.katex .vlist>span>.pstrut{overflow:hidden;width:0}.katex .vlist-t2{margin-right:-2px}.katex .vlist-s{display:table-cell;font-size:1px;min-width:2px;vertical-align:bottom;width:2px}.katex .vbox{align-items:baseline;display:inline-flex;flex-direction:column}.katex .hbox{width:100%}.katex .hbox,.katex .thinbox{display:inline-flex;flex-direction:row}.katex .thinbox{max-width:0;width:0}.katex .msupsub{text-align:left}.katex .mfrac>span>span{text-align:center}.katex .mfrac .frac-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .hdashline,.katex .hline,.katex .mfrac .frac-line,.katex .overline .overline-line,.katex .rule,.katex .underline .underline-line{min-height:1px}.katex .mspace{display:inline-block}.katex .clap,.katex .llap,.katex .rlap{position:relative;width:0}.katex .clap>.inner,.katex .llap>.inner,.katex .rlap>.inner{position:absolute}.katex .clap>.fix,.katex .llap>.fix,.katex .rlap>.fix{display:inline-block}.katex .llap>.inner{right:0}.katex .clap>.inner,.katex .rlap>.inner{left:0}.katex .clap>.inner>span{margin-left:-50%;margin-right:50%}.katex .rule{border:0 solid;display:inline-block;position:relative}.katex .hline,.katex .overline .overline-line,.katex .underline .underline-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .hdashline{border-bottom-style:dashed;display:inline-block;width:100%}.katex .sqrt>.root{margin-left:.27777778em;margin-right:-.55555556em}.katex .fontsize-ensurer.reset-size1.size1,.katex .sizing.reset-size1.size1{font-size:1em}.katex .fontsize-ensurer.reset-size1.size2,.katex .sizing.reset-size1.size2{font-size:1.2em}.katex .fontsize-ensurer.reset-size1.size3,.katex .sizing.reset-size1.size3{font-size:1.4em}.katex .fontsize-ensurer.reset-size1.size4,.katex .sizing.reset-size1.size4{font-size:1.6em}.katex .fontsize-ensurer.reset-size1.size5,.katex .sizing.reset-size1.size5{font-size:1.8em}.katex .fontsize-ensurer.reset-size1.size6,.katex .sizing.reset-size1.size6{font-size:2em}.katex .fontsize-ensurer.reset-size1.size7,.katex .sizing.reset-size1.size7{font-size:2.4em}.katex .fontsize-ensurer.reset-size1.size8,.katex .sizing.reset-size1.size8{font-size:2.88em}.katex .fontsize-ensurer.reset-size1.size9,.katex .sizing.reset-size1.size9{font-size:3.456em}.katex .fontsize-ensurer.reset-size1.size10,.katex .sizing.reset-size1.size10{font-size:4.148em}.katex .fontsize-ensurer.reset-size1.size11,.katex .sizing.reset-size1.size11{font-size:4.976em}.katex .fontsize-ensurer.reset-size2.size1,.katex .sizing.reset-size2.size1{font-size:.83333333em}.katex .fontsize-ensurer.reset-size2.size2,.katex .sizing.reset-size2.size2{font-size:1em}.katex .fontsize-ensurer.reset-size2.size3,.katex .sizing.reset-size2.size3{font-size:1.16666667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .sizing.reset-size2.size4{font-size:1.33333333em}.katex .fontsize-ensurer.reset-size2.size5,.katex .sizing.reset-size2.size5{font-size:1.5em}.katex .fontsize-ensurer.reset-size2.size6,.katex .sizing.reset-size2.size6{font-size:1.66666667em}.katex .fontsize-ensurer.reset-size2.size7,.katex .sizing.reset-size2.size7{font-size:2em}.katex .fontsize-ensurer.reset-size2.size8,.katex .sizing.reset-size2.size8{font-size:2.4em}.katex .fontsize-ensurer.reset-size2.size9,.katex .sizing.reset-size2.size9{font-size:2.88em}.katex .fontsize-ensurer.reset-size2.size10,.katex .sizing.reset-size2.size10{font-size:3.45666667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .sizing.reset-size2.size11{font-size:4.14666667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .sizing.reset-size3.size1{font-size:.71428571em}.katex .fontsize-ensurer.reset-size3.size2,.katex .sizing.reset-size3.size2{font-size:.85714286em}.katex .fontsize-ensurer.reset-size3.size3,.katex .sizing.reset-size3.size3{font-size:1em}.katex .fontsize-ensurer.reset-size3.size4,.katex .sizing.reset-size3.size4{font-size:1.14285714em}.katex .fontsize-ensurer.reset-size3.size5,.katex .sizing.reset-size3.size5{font-size:1.28571429em}.katex .fontsize-ensurer.reset-size3.size6,.katex .sizing.reset-size3.size6{font-size:1.42857143em}.katex .fontsize-ensurer.reset-size3.size7,.katex .sizing.reset-size3.size7{font-size:1.71428571em}.katex .fontsize-ensurer.reset-size3.size8,.katex .sizing.reset-size3.size8{font-size:2.05714286em}.katex .fontsize-ensurer.reset-size3.size9,.katex .sizing.reset-size3.size9{font-size:2.46857143em}.katex .fontsize-ensurer.reset-size3.size10,.katex .sizing.reset-size3.size10{font-size:2.96285714em}.katex .fontsize-ensurer.reset-size3.size11,.katex .sizing.reset-size3.size11{font-size:3.55428571em}.katex .fontsize-ensurer.reset-size4.size1,.katex .sizing.reset-size4.size1{font-size:.625em}.katex .fontsize-ensurer.reset-size4.size2,.katex .sizing.reset-size4.size2{font-size:.75em}.katex .fontsize-ensurer.reset-size4.size3,.katex .sizing.reset-size4.size3{font-size:.875em}.katex .fontsize-ensurer.reset-size4.size4,.katex .sizing.reset-size4.size4{font-size:1em}.katex .fontsize-ensurer.reset-size4.size5,.katex .sizing.reset-size4.size5{font-size:1.125em}.katex .fontsize-ensurer.reset-size4.size6,.katex .sizing.reset-size4.size6{font-size:1.25em}.katex .fontsize-ensurer.reset-size4.size7,.katex .sizing.reset-size4.size7{font-size:1.5em}.katex .fontsize-ensurer.reset-size4.size8,.katex .sizing.reset-size4.size8{font-size:1.8em}.katex .fontsize-ensurer.reset-size4.size9,.katex .sizing.reset-size4.size9{font-size:2.16em}.katex .fontsize-ensurer.reset-size4.size10,.katex .sizing.reset-size4.size10{font-size:2.5925em}.katex .fontsize-ensurer.reset-size4.size11,.katex .sizing.reset-size4.size11{font-size:3.11em}.katex .fontsize-ensurer.reset-size5.size1,.katex .sizing.reset-size5.size1{font-size:.55555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .sizing.reset-size5.size2{font-size:.66666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .sizing.reset-size5.size3{font-size:.77777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .sizing.reset-size5.size4{font-size:.88888889em}.katex .fontsize-ensurer.reset-size5.size5,.katex .sizing.reset-size5.size5{font-size:1em}.katex .fontsize-ensurer.reset-size5.size6,.katex .sizing.reset-size5.size6{font-size:1.11111111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .sizing.reset-size5.size7{font-size:1.33333333em}.katex .fontsize-ensurer.reset-size5.size8,.katex .sizing.reset-size5.size8{font-size:1.6em}.katex .fontsize-ensurer.reset-size5.size9,.katex .sizing.reset-size5.size9{font-size:1.92em}.katex .fontsize-ensurer.reset-size5.size10,.katex .sizing.reset-size5.size10{font-size:2.30444444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .sizing.reset-size5.size11{font-size:2.76444444em}.katex .fontsize-ensurer.reset-size6.size1,.katex .sizing.reset-size6.size1{font-size:.5em}.katex .fontsize-ensurer.reset-size6.size2,.katex .sizing.reset-size6.size2{font-size:.6em}.katex .fontsize-ensurer.reset-size6.size3,.katex .sizing.reset-size6.size3{font-size:.7em}.katex .fontsize-ensurer.reset-size6.size4,.katex .sizing.reset-size6.size4{font-size:.8em}.katex .fontsize-ensurer.reset-size6.size5,.katex .sizing.reset-size6.size5{font-size:.9em}.katex .fontsize-ensurer.reset-size6.size6,.katex .sizing.reset-size6.size6{font-size:1em}.katex .fontsize-ensurer.reset-size6.size7,.katex .sizing.reset-size6.size7{font-size:1.2em}.katex .fontsize-ensurer.reset-size6.size8,.katex .sizing.reset-size6.size8{font-size:1.44em}.katex .fontsize-ensurer.reset-size6.size9,.katex .sizing.reset-size6.size9{font-size:1.728em}.katex .fontsize-ensurer.reset-size6.size10,.katex .sizing.reset-size6.size10{font-size:2.074em}.katex .fontsize-ensurer.reset-size6.size11,.katex .sizing.reset-size6.size11{font-size:2.488em}.katex .fontsize-ensurer.reset-size7.size1,.katex .sizing.reset-size7.size1{font-size:.41666667em}.katex .fontsize-ensurer.reset-size7.size2,.katex .sizing.reset-size7.size2{font-size:.5em}.katex .fontsize-ensurer.reset-size7.size3,.katex .sizing.reset-size7.size3{font-size:.58333333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .sizing.reset-size7.size4{font-size:.66666667em}.katex .fontsize-ensurer.reset-size7.size5,.katex .sizing.reset-size7.size5{font-size:.75em}.katex .fontsize-ensurer.reset-size7.size6,.katex .sizing.reset-size7.size6{font-size:.83333333em}.katex .fontsize-ensurer.reset-size7.size7,.katex .sizing.reset-size7.size7{font-size:1em}.katex .fontsize-ensurer.reset-size7.size8,.katex .sizing.reset-size7.size8{font-size:1.2em}.katex .fontsize-ensurer.reset-size7.size9,.katex .sizing.reset-size7.size9{font-size:1.44em}.katex .fontsize-ensurer.reset-size7.size10,.katex .sizing.reset-size7.size10{font-size:1.72833333em}.katex .fontsize-ensurer.reset-size7.size11,.katex .sizing.reset-size7.size11{font-size:2.07333333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .sizing.reset-size8.size1{font-size:.34722222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .sizing.reset-size8.size2{font-size:.41666667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .sizing.reset-size8.size3{font-size:.48611111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .sizing.reset-size8.size4{font-size:.55555556em}.katex .fontsize-ensurer.reset-size8.size5,.katex .sizing.reset-size8.size5{font-size:.625em}.katex .fontsize-ensurer.reset-size8.size6,.katex .sizing.reset-size8.size6{font-size:.69444444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .sizing.reset-size8.size7{font-size:.83333333em}.katex .fontsize-ensurer.reset-size8.size8,.katex .sizing.reset-size8.size8{font-size:1em}.katex .fontsize-ensurer.reset-size8.size9,.katex .sizing.reset-size8.size9{font-size:1.2em}.katex .fontsize-ensurer.reset-size8.size10,.katex .sizing.reset-size8.size10{font-size:1.44027778em}.katex .fontsize-ensurer.reset-size8.size11,.katex .sizing.reset-size8.size11{font-size:1.72777778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .sizing.reset-size9.size1{font-size:.28935185em}.katex .fontsize-ensurer.reset-size9.size2,.katex .sizing.reset-size9.size2{font-size:.34722222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .sizing.reset-size9.size3{font-size:.40509259em}.katex .fontsize-ensurer.reset-size9.size4,.katex .sizing.reset-size9.size4{font-size:.46296296em}.katex .fontsize-ensurer.reset-size9.size5,.katex .sizing.reset-size9.size5{font-size:.52083333em}.katex .fontsize-ensurer.reset-size9.size6,.katex .sizing.reset-size9.size6{font-size:.5787037em}.katex .fontsize-ensurer.reset-size9.size7,.katex .sizing.reset-size9.size7{font-size:.69444444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .sizing.reset-size9.size8{font-size:.83333333em}.katex .fontsize-ensurer.reset-size9.size9,.katex .sizing.reset-size9.size9{font-size:1em}.katex .fontsize-ensurer.reset-size9.size10,.katex .sizing.reset-size9.size10{font-size:1.20023148em}.katex .fontsize-ensurer.reset-size9.size11,.katex .sizing.reset-size9.size11{font-size:1.43981481em}.katex .fontsize-ensurer.reset-size10.size1,.katex .sizing.reset-size10.size1{font-size:.24108004em}.katex .fontsize-ensurer.reset-size10.size2,.katex .sizing.reset-size10.size2{font-size:.28929605em}.katex .fontsize-ensurer.reset-size10.size3,.katex .sizing.reset-size10.size3{font-size:.33751205em}.katex .fontsize-ensurer.reset-size10.size4,.katex .sizing.reset-size10.size4{font-size:.38572806em}.katex .fontsize-ensurer.reset-size10.size5,.katex .sizing.reset-size10.size5{font-size:.43394407em}.katex .fontsize-ensurer.reset-size10.size6,.katex .sizing.reset-size10.size6{font-size:.48216008em}.katex .fontsize-ensurer.reset-size10.size7,.katex .sizing.reset-size10.size7{font-size:.57859209em}.katex .fontsize-ensurer.reset-size10.size8,.katex .sizing.reset-size10.size8{font-size:.69431051em}.katex .fontsize-ensurer.reset-size10.size9,.katex .sizing.reset-size10.size9{font-size:.83317261em}.katex .fontsize-ensurer.reset-size10.size10,.katex .sizing.reset-size10.size10{font-size:1em}.katex .fontsize-ensurer.reset-size10.size11,.katex .sizing.reset-size10.size11{font-size:1.19961427em}.katex .fontsize-ensurer.reset-size11.size1,.katex .sizing.reset-size11.size1{font-size:.20096463em}.katex .fontsize-ensurer.reset-size11.size2,.katex .sizing.reset-size11.size2{font-size:.24115756em}.katex .fontsize-ensurer.reset-size11.size3,.katex .sizing.reset-size11.size3{font-size:.28135048em}.katex .fontsize-ensurer.reset-size11.size4,.katex .sizing.reset-size11.size4{font-size:.32154341em}.katex .fontsize-ensurer.reset-size11.size5,.katex .sizing.reset-size11.size5{font-size:.36173633em}.katex .fontsize-ensurer.reset-size11.size6,.katex .sizing.reset-size11.size6{font-size:.40192926em}.katex .fontsize-ensurer.reset-size11.size7,.katex .sizing.reset-size11.size7{font-size:.48231511em}.katex .fontsize-ensurer.reset-size11.size8,.katex .sizing.reset-size11.size8{font-size:.57877814em}.katex .fontsize-ensurer.reset-size11.size9,.katex .sizing.reset-size11.size9{font-size:.69453376em}.katex .fontsize-ensurer.reset-size11.size10,.katex .sizing.reset-size11.size10{font-size:.83360129em}.katex .fontsize-ensurer.reset-size11.size11,.katex .sizing.reset-size11.size11{font-size:1em}.katex .delimsizing.size1{font-family:KaTeX_Size1}.katex .delimsizing.size2{font-family:KaTeX_Size2}.katex .delimsizing.size3{font-family:KaTeX_Size3}.katex .delimsizing.size4{font-family:KaTeX_Size4}.katex .delimsizing.mult .delim-size1>span{font-family:KaTeX_Size1}.katex .delimsizing.mult .delim-size4>span{font-family:KaTeX_Size4}.katex .nulldelimiter{display:inline-block;width:.12em}.katex .delimcenter,.katex .op-symbol{position:relative}.katex .op-symbol.small-op{font-family:KaTeX_Size1}.katex .op-symbol.large-op{font-family:KaTeX_Size2}.katex .accent>.vlist-t,.katex .op-limits>.vlist-t{text-align:center}.katex .accent .accent-body{position:relative}.katex .accent .accent-body:not(.accent-full){width:0}.katex .overlay{display:block}.katex .mtable .vertical-separator{display:inline-block;min-width:1px}.katex .mtable .arraycolsep{display:inline-block}.katex .mtable .col-align-c>.vlist-t{text-align:center}.katex .mtable .col-align-l>.vlist-t{text-align:left}.katex .mtable .col-align-r>.vlist-t{text-align:right}.katex .svg-align{text-align:left}.katex svg{fill:currentColor;stroke:currentColor;fill-rule:nonzero;fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1;display:block;height:inherit;position:absolute;width:100%}.katex svg path{stroke:none}.katex img{border-style:none;max-height:none;max-width:none;min-height:0;min-width:0}.katex .stretchy{display:block;overflow:hidden;position:relative;width:100%}.katex .stretchy:after,.katex .stretchy:before{content:""}.katex .hide-tail{overflow:hidden;position:relative;width:100%}.katex .halfarrow-left{left:0;overflow:hidden;position:absolute;width:50.2%}.katex .halfarrow-right{overflow:hidden;position:absolute;right:0;width:50.2%}.katex .brace-left{left:0;overflow:hidden;position:absolute;width:25.1%}.katex .brace-center{left:25%;overflow:hidden;position:absolute;width:50%}.katex .brace-right{overflow:hidden;position:absolute;right:0;width:25.1%}.katex .x-arrow-pad{padding:0 .5em}.katex .cd-arrow-pad{padding:0 .55556em 0 .27778em}.katex .mover,.katex .munder,.katex .x-arrow{text-align:center}.katex .boxpad{padding:0 .3em}.katex .fbox,.katex .fcolorbox{border:.04em solid;box-sizing:border-box}.katex .cancel-pad{padding:0 .2em}.katex .cancel-lap{margin-left:-.2em;margin-right:-.2em}.katex .sout{border-bottom-style:solid;border-bottom-width:.08em}.katex .angl{border-right:.049em solid;border-top:.049em solid;box-sizing:border-box;margin-right:.03889em}.katex .anglpad{padding:0 .03889em}.katex .eqn-num:before{content:"(" counter(katexEqnNo) ")";counter-increment:katexEqnNo}.katex .mml-eqn-num:before{content:"(" counter(mmlEqnNo) ")";counter-increment:mmlEqnNo}.katex .mtr-glue{width:50%}.katex .cd-vert-arrow{display:inline-block;position:relative}.katex .cd-label-left{display:inline-block;position:absolute;right:calc(50% + .3em);text-align:left}.katex .cd-label-right{display:inline-block;left:calc(50% + .3em);position:absolute;text-align:right}.katex-display{display:block;margin:1em 0;text-align:center}.katex-display>.katex{display:block;text-align:center;white-space:nowrap}.katex-display>.katex>.katex-html{display:block;position:relative}.katex-display>.katex>.katex-html>.tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.tag{left:0;right:auto}.katex-display.fleqn>.katex{padding-left:2em;text-align:left}body{counter-reset:katexEqnNo mmlEqnNo} diff --git a/app/src/main/assets/katex/katex.min.js b/app/src/main/assets/katex/katex.min.js new file mode 100644 index 0000000..18c62f7 --- /dev/null +++ b/app/src/main/assets/katex/katex.min.js @@ -0,0 +1 @@ +!function(e,t){"object"==typeof exports&&"object"==typeof module?module.exports=t():"function"==typeof define&&define.amd?define([],t):"object"==typeof exports?exports.katex=t():e.katex=t()}("undefined"!=typeof self?self:this,(function(){return function(){"use strict";var e={d:function(t,r){for(var n in r)e.o(r,n)&&!e.o(t,n)&&Object.defineProperty(t,n,{enumerable:!0,get:r[n]})},o:function(e,t){return Object.prototype.hasOwnProperty.call(e,t)}},t={};e.d(t,{default:function(){return na}});var r=function e(t,r){this.name=void 0,this.position=void 0,this.length=void 0,this.rawMessage=void 0;var n,a,i="KaTeX parse error: "+t,o=r&&r.loc;if(o&&o.start<=o.end){var s=o.lexer.input;n=o.start,a=o.end,n===s.length?i+=" at end of input: ":i+=" at position "+(n+1)+": ";var l=s.slice(n,a).replace(/[^]/g,"$&\u0332");i+=(n>15?"\u2026"+s.slice(n-15,n):s.slice(0,n))+l+(a+15":">","<":"<",'"':""","'":"'"},o=/[&><"']/g;var s=function e(t){return"ordgroup"===t.type||"color"===t.type?1===t.body.length?e(t.body[0]):t:"font"===t.type?e(t.body):t},l={contains:function(e,t){return-1!==e.indexOf(t)},deflt:function(e,t){return void 0===e?t:e},escape:function(e){return String(e).replace(o,(function(e){return i[e]}))},hyphenate:function(e){return e.replace(a,"-$1").toLowerCase()},getBaseElem:s,isCharacterBox:function(e){var t=s(e);return"mathord"===t.type||"textord"===t.type||"atom"===t.type},protocolFromUrl:function(e){var t=/^\s*([^\\/#]*?)(?::|�*58|�*3a)/i.exec(e);return null!=t?t[1]:"_relative"}},h={displayMode:{type:"boolean",description:"Render math in display mode, which puts the math in display style (so \\int and \\sum are large, for example), and centers the math on the page on its own line.",cli:"-d, --display-mode"},output:{type:{enum:["htmlAndMathml","html","mathml"]},description:"Determines the markup language of the output.",cli:"-F, --format "},leqno:{type:"boolean",description:"Render display math in leqno style (left-justified tags)."},fleqn:{type:"boolean",description:"Render display math flush left."},throwOnError:{type:"boolean",default:!0,cli:"-t, --no-throw-on-error",cliDescription:"Render errors (in the color given by --error-color) instead of throwing a ParseError exception when encountering an error."},errorColor:{type:"string",default:"#cc0000",cli:"-c, --error-color ",cliDescription:"A color string given in the format 'rgb' or 'rrggbb' (no #). This option determines the color of errors rendered by the -t option.",cliProcessor:function(e){return"#"+e}},macros:{type:"object",cli:"-m, --macro ",cliDescription:"Define custom macro of the form '\\foo:expansion' (use multiple -m arguments for multiple macros).",cliDefault:[],cliProcessor:function(e,t){return t.push(e),t}},minRuleThickness:{type:"number",description:"Specifies a minimum thickness, in ems, for fraction lines, `\\sqrt` top lines, `{array}` vertical lines, `\\hline`, `\\hdashline`, `\\underline`, `\\overline`, and the borders of `\\fbox`, `\\boxed`, and `\\fcolorbox`.",processor:function(e){return Math.max(0,e)},cli:"--min-rule-thickness ",cliProcessor:parseFloat},colorIsTextColor:{type:"boolean",description:"Makes \\color behave like LaTeX's 2-argument \\textcolor, instead of LaTeX's one-argument \\color mode change.",cli:"-b, --color-is-text-color"},strict:{type:[{enum:["warn","ignore","error"]},"boolean","function"],description:"Turn on strict / LaTeX faithfulness mode, which throws an error if the input uses features that are not supported by LaTeX.",cli:"-S, --strict",cliDefault:!1},trust:{type:["boolean","function"],description:"Trust the input, enabling all HTML features such as \\url.",cli:"-T, --trust"},maxSize:{type:"number",default:1/0,description:"If non-zero, all user-specified sizes, e.g. in \\rule{500em}{500em}, will be capped to maxSize ems. Otherwise, elements and spaces can be arbitrarily large",processor:function(e){return Math.max(0,e)},cli:"-s, --max-size ",cliProcessor:parseInt},maxExpand:{type:"number",default:1e3,description:"Limit the number of macro expansions to the specified number, to prevent e.g. infinite macro loops. If set to Infinity, the macro expander will try to fully expand as in LaTeX.",processor:function(e){return Math.max(0,e)},cli:"-e, --max-expand ",cliProcessor:function(e){return"Infinity"===e?1/0:parseInt(e)}},globalGroup:{type:"boolean",cli:!1}};function c(e){if(e.default)return e.default;var t=e.type,r=Array.isArray(t)?t[0]:t;if("string"!=typeof r)return r.enum[0];switch(r){case"boolean":return!1;case"string":return"";case"number":return 0;case"object":return{}}}var m=function(){function e(e){for(var t in this.displayMode=void 0,this.output=void 0,this.leqno=void 0,this.fleqn=void 0,this.throwOnError=void 0,this.errorColor=void 0,this.macros=void 0,this.minRuleThickness=void 0,this.colorIsTextColor=void 0,this.strict=void 0,this.trust=void 0,this.maxSize=void 0,this.maxExpand=void 0,this.globalGroup=void 0,e=e||{},h)if(h.hasOwnProperty(t)){var r=h[t];this[t]=void 0!==e[t]?r.processor?r.processor(e[t]):e[t]:c(r)}}var t=e.prototype;return t.reportNonstrict=function(e,t,r){var a=this.strict;if("function"==typeof a&&(a=a(e,t,r)),a&&"ignore"!==a){if(!0===a||"error"===a)throw new n("LaTeX-incompatible input and strict mode is set to 'error': "+t+" ["+e+"]",r);"warn"===a?"undefined"!=typeof console&&console.warn("LaTeX-incompatible input and strict mode is set to 'warn': "+t+" ["+e+"]"):"undefined"!=typeof console&&console.warn("LaTeX-incompatible input and strict mode is set to unrecognized '"+a+"': "+t+" ["+e+"]")}},t.useStrictBehavior=function(e,t,r){var n=this.strict;if("function"==typeof n)try{n=n(e,t,r)}catch(e){n="error"}return!(!n||"ignore"===n)&&(!0===n||"error"===n||("warn"===n?("undefined"!=typeof console&&console.warn("LaTeX-incompatible input and strict mode is set to 'warn': "+t+" ["+e+"]"),!1):("undefined"!=typeof console&&console.warn("LaTeX-incompatible input and strict mode is set to unrecognized '"+n+"': "+t+" ["+e+"]"),!1)))},t.isTrusted=function(e){e.url&&!e.protocol&&(e.protocol=l.protocolFromUrl(e.url));var t="function"==typeof this.trust?this.trust(e):this.trust;return Boolean(t)},e}(),u=function(){function e(e,t,r){this.id=void 0,this.size=void 0,this.cramped=void 0,this.id=e,this.size=t,this.cramped=r}var t=e.prototype;return t.sup=function(){return p[d[this.id]]},t.sub=function(){return p[f[this.id]]},t.fracNum=function(){return p[g[this.id]]},t.fracDen=function(){return p[v[this.id]]},t.cramp=function(){return p[b[this.id]]},t.text=function(){return p[y[this.id]]},t.isTight=function(){return this.size>=2},e}(),p=[new u(0,0,!1),new u(1,0,!0),new u(2,1,!1),new u(3,1,!0),new u(4,2,!1),new u(5,2,!0),new u(6,3,!1),new u(7,3,!0)],d=[4,5,4,5,6,7,6,7],f=[5,5,5,5,7,7,7,7],g=[2,3,4,5,6,7,6,7],v=[3,3,5,5,7,7,7,7],b=[1,1,3,3,5,5,7,7],y=[0,1,2,3,2,3,2,3],x={DISPLAY:p[0],TEXT:p[2],SCRIPT:p[4],SCRIPTSCRIPT:p[6]},w=[{name:"latin",blocks:[[256,591],[768,879]]},{name:"cyrillic",blocks:[[1024,1279]]},{name:"armenian",blocks:[[1328,1423]]},{name:"brahmic",blocks:[[2304,4255]]},{name:"georgian",blocks:[[4256,4351]]},{name:"cjk",blocks:[[12288,12543],[19968,40879],[65280,65376]]},{name:"hangul",blocks:[[44032,55215]]}];var k=[];function S(e){for(var t=0;t=k[t]&&e<=k[t+1])return!0;return!1}w.forEach((function(e){return e.blocks.forEach((function(e){return k.push.apply(k,e)}))}));var M=80,z={doubleleftarrow:"M262 157\nl10-10c34-36 62.7-77 86-123 3.3-8 5-13.3 5-16 0-5.3-6.7-8-20-8-7.3\n 0-12.2.5-14.5 1.5-2.3 1-4.8 4.5-7.5 10.5-49.3 97.3-121.7 169.3-217 216-28\n 14-57.3 25-88 33-6.7 2-11 3.8-13 5.5-2 1.7-3 4.2-3 7.5s1 5.8 3 7.5\nc2 1.7 6.3 3.5 13 5.5 68 17.3 128.2 47.8 180.5 91.5 52.3 43.7 93.8 96.2 124.5\n 157.5 9.3 8 15.3 12.3 18 13h6c12-.7 18-4 18-10 0-2-1.7-7-5-15-23.3-46-52-87\n-86-123l-10-10h399738v-40H218c328 0 0 0 0 0l-10-8c-26.7-20-65.7-43-117-69 2.7\n-2 6-3.7 10-5 36.7-16 72.3-37.3 107-64l10-8h399782v-40z\nm8 0v40h399730v-40zm0 194v40h399730v-40z",doublerightarrow:"M399738 392l\n-10 10c-34 36-62.7 77-86 123-3.3 8-5 13.3-5 16 0 5.3 6.7 8 20 8 7.3 0 12.2-.5\n 14.5-1.5 2.3-1 4.8-4.5 7.5-10.5 49.3-97.3 121.7-169.3 217-216 28-14 57.3-25 88\n-33 6.7-2 11-3.8 13-5.5 2-1.7 3-4.2 3-7.5s-1-5.8-3-7.5c-2-1.7-6.3-3.5-13-5.5-68\n-17.3-128.2-47.8-180.5-91.5-52.3-43.7-93.8-96.2-124.5-157.5-9.3-8-15.3-12.3-18\n-13h-6c-12 .7-18 4-18 10 0 2 1.7 7 5 15 23.3 46 52 87 86 123l10 10H0v40h399782\nc-328 0 0 0 0 0l10 8c26.7 20 65.7 43 117 69-2.7 2-6 3.7-10 5-36.7 16-72.3 37.3\n-107 64l-10 8H0v40zM0 157v40h399730v-40zm0 194v40h399730v-40z",leftarrow:"M400000 241H110l3-3c68.7-52.7 113.7-120\n 135-202 4-14.7 6-23 6-25 0-7.3-7-11-21-11-8 0-13.2.8-15.5 2.5-2.3 1.7-4.2 5.8\n-5.5 12.5-1.3 4.7-2.7 10.3-4 17-12 48.7-34.8 92-68.5 130S65.3 228.3 18 247\nc-10 4-16 7.7-18 11 0 8.7 6 14.3 18 17 47.3 18.7 87.8 47 121.5 85S196 441.3 208\n 490c.7 2 1.3 5 2 9s1.2 6.7 1.5 8c.3 1.3 1 3.3 2 6s2.2 4.5 3.5 5.5c1.3 1 3.3\n 1.8 6 2.5s6 1 10 1c14 0 21-3.7 21-11 0-2-2-10.3-6-25-20-79.3-65-146.7-135-202\n l-3-3h399890zM100 241v40h399900v-40z",leftbrace:"M6 548l-6-6v-35l6-11c56-104 135.3-181.3 238-232 57.3-28.7 117\n-45 179-50h399577v120H403c-43.3 7-81 15-113 26-100.7 33-179.7 91-237 174-2.7\n 5-6 9-10 13-.7 1-7.3 1-20 1H6z",leftbraceunder:"M0 6l6-6h17c12.688 0 19.313.3 20 1 4 4 7.313 8.3 10 13\n 35.313 51.3 80.813 93.8 136.5 127.5 55.688 33.7 117.188 55.8 184.5 66.5.688\n 0 2 .3 4 1 18.688 2.7 76 4.3 172 5h399450v120H429l-6-1c-124.688-8-235-61.7\n-331-161C60.687 138.7 32.312 99.3 7 54L0 41V6z",leftgroup:"M400000 80\nH435C64 80 168.3 229.4 21 260c-5.9 1.2-18 0-18 0-2 0-3-1-3-3v-38C76 61 257 0\n 435 0h399565z",leftgroupunder:"M400000 262\nH435C64 262 168.3 112.6 21 82c-5.9-1.2-18 0-18 0-2 0-3 1-3 3v38c76 158 257 219\n 435 219h399565z",leftharpoon:"M0 267c.7 5.3 3 10 7 14h399993v-40H93c3.3\n-3.3 10.2-9.5 20.5-18.5s17.8-15.8 22.5-20.5c50.7-52 88-110.3 112-175 4-11.3 5\n-18.3 3-21-1.3-4-7.3-6-18-6-8 0-13 .7-15 2s-4.7 6.7-8 16c-42 98.7-107.3 174.7\n-196 228-6.7 4.7-10.7 8-12 10-1.3 2-2 5.7-2 11zm100-26v40h399900v-40z",leftharpoonplus:"M0 267c.7 5.3 3 10 7 14h399993v-40H93c3.3-3.3 10.2-9.5\n 20.5-18.5s17.8-15.8 22.5-20.5c50.7-52 88-110.3 112-175 4-11.3 5-18.3 3-21-1.3\n-4-7.3-6-18-6-8 0-13 .7-15 2s-4.7 6.7-8 16c-42 98.7-107.3 174.7-196 228-6.7 4.7\n-10.7 8-12 10-1.3 2-2 5.7-2 11zm100-26v40h399900v-40zM0 435v40h400000v-40z\nm0 0v40h400000v-40z",leftharpoondown:"M7 241c-4 4-6.333 8.667-7 14 0 5.333.667 9 2 11s5.333\n 5.333 12 10c90.667 54 156 130 196 228 3.333 10.667 6.333 16.333 9 17 2 .667 5\n 1 9 1h5c10.667 0 16.667-2 18-6 2-2.667 1-9.667-3-21-32-87.333-82.667-157.667\n-152-211l-3-3h399907v-40zM93 281 H400000 v-40L7 241z",leftharpoondownplus:"M7 435c-4 4-6.3 8.7-7 14 0 5.3.7 9 2 11s5.3 5.3 12\n 10c90.7 54 156 130 196 228 3.3 10.7 6.3 16.3 9 17 2 .7 5 1 9 1h5c10.7 0 16.7\n-2 18-6 2-2.7 1-9.7-3-21-32-87.3-82.7-157.7-152-211l-3-3h399907v-40H7zm93 0\nv40h399900v-40zM0 241v40h399900v-40zm0 0v40h399900v-40z",lefthook:"M400000 281 H103s-33-11.2-61-33.5S0 197.3 0 164s14.2-61.2 42.5\n-83.5C70.8 58.2 104 47 142 47 c16.7 0 25 6.7 25 20 0 12-8.7 18.7-26 20-40 3.3\n-68.7 15.7-86 37-10 12-15 25.3-15 40 0 22.7 9.8 40.7 29.5 54 19.7 13.3 43.5 21\n 71.5 23h399859zM103 281v-40h399897v40z",leftlinesegment:"M40 281 V428 H0 V94 H40 V241 H400000 v40z\nM40 281 V428 H0 V94 H40 V241 H400000 v40z",leftmapsto:"M40 281 V448H0V74H40V241H400000v40z\nM40 281 V448H0V74H40V241H400000v40z",leftToFrom:"M0 147h400000v40H0zm0 214c68 40 115.7 95.7 143 167h22c15.3 0 23\n-.3 23-1 0-1.3-5.3-13.7-16-37-18-35.3-41.3-69-70-101l-7-8h399905v-40H95l7-8\nc28.7-32 52-65.7 70-101 10.7-23.3 16-35.7 16-37 0-.7-7.7-1-23-1h-22C115.7 265.3\n 68 321 0 361zm0-174v-40h399900v40zm100 154v40h399900v-40z",longequal:"M0 50 h400000 v40H0z m0 194h40000v40H0z\nM0 50 h400000 v40H0z m0 194h40000v40H0z",midbrace:"M200428 334\nc-100.7-8.3-195.3-44-280-108-55.3-42-101.7-93-139-153l-9-14c-2.7 4-5.7 8.7-9 14\n-53.3 86.7-123.7 153-211 199-66.7 36-137.3 56.3-212 62H0V214h199568c178.3-11.7\n 311.7-78.3 403-201 6-8 9.7-12 11-12 .7-.7 6.7-1 18-1s17.3.3 18 1c1.3 0 5 4 11\n 12 44.7 59.3 101.3 106.3 170 141s145.3 54.3 229 60h199572v120z",midbraceunder:"M199572 214\nc100.7 8.3 195.3 44 280 108 55.3 42 101.7 93 139 153l9 14c2.7-4 5.7-8.7 9-14\n 53.3-86.7 123.7-153 211-199 66.7-36 137.3-56.3 212-62h199568v120H200432c-178.3\n 11.7-311.7 78.3-403 201-6 8-9.7 12-11 12-.7.7-6.7 1-18 1s-17.3-.3-18-1c-1.3 0\n-5-4-11-12-44.7-59.3-101.3-106.3-170-141s-145.3-54.3-229-60H0V214z",oiintSize1:"M512.6 71.6c272.6 0 320.3 106.8 320.3 178.2 0 70.8-47.7 177.6\n-320.3 177.6S193.1 320.6 193.1 249.8c0-71.4 46.9-178.2 319.5-178.2z\nm368.1 178.2c0-86.4-60.9-215.4-368.1-215.4-306.4 0-367.3 129-367.3 215.4 0 85.8\n60.9 214.8 367.3 214.8 307.2 0 368.1-129 368.1-214.8z",oiintSize2:"M757.8 100.1c384.7 0 451.1 137.6 451.1 230 0 91.3-66.4 228.8\n-451.1 228.8-386.3 0-452.7-137.5-452.7-228.8 0-92.4 66.4-230 452.7-230z\nm502.4 230c0-111.2-82.4-277.2-502.4-277.2s-504 166-504 277.2\nc0 110 84 276 504 276s502.4-166 502.4-276z",oiiintSize1:"M681.4 71.6c408.9 0 480.5 106.8 480.5 178.2 0 70.8-71.6 177.6\n-480.5 177.6S202.1 320.6 202.1 249.8c0-71.4 70.5-178.2 479.3-178.2z\nm525.8 178.2c0-86.4-86.8-215.4-525.7-215.4-437.9 0-524.7 129-524.7 215.4 0\n85.8 86.8 214.8 524.7 214.8 438.9 0 525.7-129 525.7-214.8z",oiiintSize2:"M1021.2 53c603.6 0 707.8 165.8 707.8 277.2 0 110-104.2 275.8\n-707.8 275.8-606 0-710.2-165.8-710.2-275.8C311 218.8 415.2 53 1021.2 53z\nm770.4 277.1c0-131.2-126.4-327.6-770.5-327.6S248.4 198.9 248.4 330.1\nc0 130 128.8 326.4 772.7 326.4s770.5-196.4 770.5-326.4z",rightarrow:"M0 241v40h399891c-47.3 35.3-84 78-110 128\n-16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20\n 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7\n 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85\n-40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5\n-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67\n 151.7 139 205zm0 0v40h399900v-40z",rightbrace:"M400000 542l\n-6 6h-17c-12.7 0-19.3-.3-20-1-4-4-7.3-8.3-10-13-35.3-51.3-80.8-93.8-136.5-127.5\ns-117.2-55.8-184.5-66.5c-.7 0-2-.3-4-1-18.7-2.7-76-4.3-172-5H0V214h399571l6 1\nc124.7 8 235 61.7 331 161 31.3 33.3 59.7 72.7 85 118l7 13v35z",rightbraceunder:"M399994 0l6 6v35l-6 11c-56 104-135.3 181.3-238 232-57.3\n 28.7-117 45-179 50H-300V214h399897c43.3-7 81-15 113-26 100.7-33 179.7-91 237\n-174 2.7-5 6-9 10-13 .7-1 7.3-1 20-1h17z",rightgroup:"M0 80h399565c371 0 266.7 149.4 414 180 5.9 1.2 18 0 18 0 2 0\n 3-1 3-3v-38c-76-158-257-219-435-219H0z",rightgroupunder:"M0 262h399565c371 0 266.7-149.4 414-180 5.9-1.2 18 0 18\n 0 2 0 3 1 3 3v38c-76 158-257 219-435 219H0z",rightharpoon:"M0 241v40h399993c4.7-4.7 7-9.3 7-14 0-9.3\n-3.7-15.3-11-18-92.7-56.7-159-133.7-199-231-3.3-9.3-6-14.7-8-16-2-1.3-7-2-15-2\n-10.7 0-16.7 2-18 6-2 2.7-1 9.7 3 21 15.3 42 36.7 81.8 64 119.5 27.3 37.7 58\n 69.2 92 94.5zm0 0v40h399900v-40z",rightharpoonplus:"M0 241v40h399993c4.7-4.7 7-9.3 7-14 0-9.3-3.7-15.3-11\n-18-92.7-56.7-159-133.7-199-231-3.3-9.3-6-14.7-8-16-2-1.3-7-2-15-2-10.7 0-16.7\n 2-18 6-2 2.7-1 9.7 3 21 15.3 42 36.7 81.8 64 119.5 27.3 37.7 58 69.2 92 94.5z\nm0 0v40h399900v-40z m100 194v40h399900v-40zm0 0v40h399900v-40z",rightharpoondown:"M399747 511c0 7.3 6.7 11 20 11 8 0 13-.8 15-2.5s4.7-6.8\n 8-15.5c40-94 99.3-166.3 178-217 13.3-8 20.3-12.3 21-13 5.3-3.3 8.5-5.8 9.5\n-7.5 1-1.7 1.5-5.2 1.5-10.5s-2.3-10.3-7-15H0v40h399908c-34 25.3-64.7 57-92 95\n-27.3 38-48.7 77.7-64 119-3.3 8.7-5 14-5 16zM0 241v40h399900v-40z",rightharpoondownplus:"M399747 705c0 7.3 6.7 11 20 11 8 0 13-.8\n 15-2.5s4.7-6.8 8-15.5c40-94 99.3-166.3 178-217 13.3-8 20.3-12.3 21-13 5.3-3.3\n 8.5-5.8 9.5-7.5 1-1.7 1.5-5.2 1.5-10.5s-2.3-10.3-7-15H0v40h399908c-34 25.3\n-64.7 57-92 95-27.3 38-48.7 77.7-64 119-3.3 8.7-5 14-5 16zM0 435v40h399900v-40z\nm0-194v40h400000v-40zm0 0v40h400000v-40z",righthook:"M399859 241c-764 0 0 0 0 0 40-3.3 68.7-15.7 86-37 10-12 15-25.3\n 15-40 0-22.7-9.8-40.7-29.5-54-19.7-13.3-43.5-21-71.5-23-17.3-1.3-26-8-26-20 0\n-13.3 8.7-20 26-20 38 0 71 11.2 99 33.5 0 0 7 5.6 21 16.7 14 11.2 21 33.5 21\n 66.8s-14 61.2-42 83.5c-28 22.3-61 33.5-99 33.5L0 241z M0 281v-40h399859v40z",rightlinesegment:"M399960 241 V94 h40 V428 h-40 V281 H0 v-40z\nM399960 241 V94 h40 V428 h-40 V281 H0 v-40z",rightToFrom:"M400000 167c-70.7-42-118-97.7-142-167h-23c-15.3 0-23 .3-23\n 1 0 1.3 5.3 13.7 16 37 18 35.3 41.3 69 70 101l7 8H0v40h399905l-7 8c-28.7 32\n-52 65.7-70 101-10.7 23.3-16 35.7-16 37 0 .7 7.7 1 23 1h23c24-69.3 71.3-125 142\n-167z M100 147v40h399900v-40zM0 341v40h399900v-40z",twoheadleftarrow:"M0 167c68 40\n 115.7 95.7 143 167h22c15.3 0 23-.3 23-1 0-1.3-5.3-13.7-16-37-18-35.3-41.3-69\n-70-101l-7-8h125l9 7c50.7 39.3 85 86 103 140h46c0-4.7-6.3-18.7-19-42-18-35.3\n-40-67.3-66-96l-9-9h399716v-40H284l9-9c26-28.7 48-60.7 66-96 12.7-23.333 19\n-37.333 19-42h-46c-18 54-52.3 100.7-103 140l-9 7H95l7-8c28.7-32 52-65.7 70-101\n 10.7-23.333 16-35.7 16-37 0-.7-7.7-1-23-1h-22C115.7 71.3 68 127 0 167z",twoheadrightarrow:"M400000 167\nc-68-40-115.7-95.7-143-167h-22c-15.3 0-23 .3-23 1 0 1.3 5.3 13.7 16 37 18 35.3\n 41.3 69 70 101l7 8h-125l-9-7c-50.7-39.3-85-86-103-140h-46c0 4.7 6.3 18.7 19 42\n 18 35.3 40 67.3 66 96l9 9H0v40h399716l-9 9c-26 28.7-48 60.7-66 96-12.7 23.333\n-19 37.333-19 42h46c18-54 52.3-100.7 103-140l9-7h125l-7 8c-28.7 32-52 65.7-70\n 101-10.7 23.333-16 35.7-16 37 0 .7 7.7 1 23 1h22c27.3-71.3 75-127 143-167z",tilde1:"M200 55.538c-77 0-168 73.953-177 73.953-3 0-7\n-2.175-9-5.437L2 97c-1-2-2-4-2-6 0-4 2-7 5-9l20-12C116 12 171 0 207 0c86 0\n 114 68 191 68 78 0 168-68 177-68 4 0 7 2 9 5l12 19c1 2.175 2 4.35 2 6.525 0\n 4.35-2 7.613-5 9.788l-19 13.05c-92 63.077-116.937 75.308-183 76.128\n-68.267.847-113-73.952-191-73.952z",tilde2:"M344 55.266c-142 0-300.638 81.316-311.5 86.418\n-8.01 3.762-22.5 10.91-23.5 5.562L1 120c-1-2-1-3-1-4 0-5 3-9 8-10l18.4-9C160.9\n 31.9 283 0 358 0c148 0 188 122 331 122s314-97 326-97c4 0 8 2 10 7l7 21.114\nc1 2.14 1 3.21 1 4.28 0 5.347-3 9.626-7 10.696l-22.3 12.622C852.6 158.372 751\n 181.476 676 181.476c-149 0-189-126.21-332-126.21z",tilde3:"M786 59C457 59 32 175.242 13 175.242c-6 0-10-3.457\n-11-10.37L.15 138c-1-7 3-12 10-13l19.2-6.4C378.4 40.7 634.3 0 804.3 0c337 0\n 411.8 157 746.8 157 328 0 754-112 773-112 5 0 10 3 11 9l1 14.075c1 8.066-.697\n 16.595-6.697 17.492l-21.052 7.31c-367.9 98.146-609.15 122.696-778.15 122.696\n -338 0-409-156.573-744-156.573z",tilde4:"M786 58C457 58 32 177.487 13 177.487c-6 0-10-3.345\n-11-10.035L.15 143c-1-7 3-12 10-13l22-6.7C381.2 35 637.15 0 807.15 0c337 0 409\n 177 744 177 328 0 754-127 773-127 5 0 10 3 11 9l1 14.794c1 7.805-3 13.38-9\n 14.495l-20.7 5.574c-366.85 99.79-607.3 139.372-776.3 139.372-338 0-409\n -175.236-744-175.236z",vec:"M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\nc-16-25.333-24-45-24-59z",widehat1:"M529 0h5l519 115c5 1 9 5 9 10 0 1-1 2-1 3l-4 22\nc-1 5-5 9-11 9h-2L532 67 19 159h-2c-5 0-9-4-11-9l-5-22c-1-6 2-12 8-13z",widehat2:"M1181 0h2l1171 176c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 220h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z",widehat3:"M1181 0h2l1171 236c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 280h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z",widehat4:"M1181 0h2l1171 296c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 340h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z",widecheck1:"M529,159h5l519,-115c5,-1,9,-5,9,-10c0,-1,-1,-2,-1,-3l-4,-22c-1,\n-5,-5,-9,-11,-9h-2l-512,92l-513,-92h-2c-5,0,-9,4,-11,9l-5,22c-1,6,2,12,8,13z",widecheck2:"M1181,220h2l1171,-176c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,153l-1167,-153h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z",widecheck3:"M1181,280h2l1171,-236c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,213l-1167,-213h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z",widecheck4:"M1181,340h2l1171,-296c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,273l-1167,-273h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z",baraboveleftarrow:"M400000 620h-399890l3 -3c68.7 -52.7 113.7 -120 135 -202\nc4 -14.7 6 -23 6 -25c0 -7.3 -7 -11 -21 -11c-8 0 -13.2 0.8 -15.5 2.5\nc-2.3 1.7 -4.2 5.8 -5.5 12.5c-1.3 4.7 -2.7 10.3 -4 17c-12 48.7 -34.8 92 -68.5 130\ns-74.2 66.3 -121.5 85c-10 4 -16 7.7 -18 11c0 8.7 6 14.3 18 17c47.3 18.7 87.8 47\n121.5 85s56.5 81.3 68.5 130c0.7 2 1.3 5 2 9s1.2 6.7 1.5 8c0.3 1.3 1 3.3 2 6\ns2.2 4.5 3.5 5.5c1.3 1 3.3 1.8 6 2.5s6 1 10 1c14 0 21 -3.7 21 -11\nc0 -2 -2 -10.3 -6 -25c-20 -79.3 -65 -146.7 -135 -202l-3 -3h399890z\nM100 620v40h399900v-40z M0 241v40h399900v-40zM0 241v40h399900v-40z",rightarrowabovebar:"M0 241v40h399891c-47.3 35.3-84 78-110 128-16.7 32\n-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0\n13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39\n-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85-40.5\n-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5\n-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67\n151.7 139 205zm96 379h399894v40H0zm0 0h399904v40H0z",baraboveshortleftharpoon:"M507,435c-4,4,-6.3,8.7,-7,14c0,5.3,0.7,9,2,11\nc1.3,2,5.3,5.3,12,10c90.7,54,156,130,196,228c3.3,10.7,6.3,16.3,9,17\nc2,0.7,5,1,9,1c0,0,5,0,5,0c10.7,0,16.7,-2,18,-6c2,-2.7,1,-9.7,-3,-21\nc-32,-87.3,-82.7,-157.7,-152,-211c0,0,-3,-3,-3,-3l399351,0l0,-40\nc-398570,0,-399437,0,-399437,0z M593 435 v40 H399500 v-40z\nM0 281 v-40 H399908 v40z M0 281 v-40 H399908 v40z",rightharpoonaboveshortbar:"M0,241 l0,40c399126,0,399993,0,399993,0\nc4.7,-4.7,7,-9.3,7,-14c0,-9.3,-3.7,-15.3,-11,-18c-92.7,-56.7,-159,-133.7,-199,\n-231c-3.3,-9.3,-6,-14.7,-8,-16c-2,-1.3,-7,-2,-15,-2c-10.7,0,-16.7,2,-18,6\nc-2,2.7,-1,9.7,3,21c15.3,42,36.7,81.8,64,119.5c27.3,37.7,58,69.2,92,94.5z\nM0 241 v40 H399908 v-40z M0 475 v-40 H399500 v40z M0 475 v-40 H399500 v40z",shortbaraboveleftharpoon:"M7,435c-4,4,-6.3,8.7,-7,14c0,5.3,0.7,9,2,11\nc1.3,2,5.3,5.3,12,10c90.7,54,156,130,196,228c3.3,10.7,6.3,16.3,9,17c2,0.7,5,1,9,\n1c0,0,5,0,5,0c10.7,0,16.7,-2,18,-6c2,-2.7,1,-9.7,-3,-21c-32,-87.3,-82.7,-157.7,\n-152,-211c0,0,-3,-3,-3,-3l399907,0l0,-40c-399126,0,-399993,0,-399993,0z\nM93 435 v40 H400000 v-40z M500 241 v40 H400000 v-40z M500 241 v40 H400000 v-40z",shortrightharpoonabovebar:"M53,241l0,40c398570,0,399437,0,399437,0\nc4.7,-4.7,7,-9.3,7,-14c0,-9.3,-3.7,-15.3,-11,-18c-92.7,-56.7,-159,-133.7,-199,\n-231c-3.3,-9.3,-6,-14.7,-8,-16c-2,-1.3,-7,-2,-15,-2c-10.7,0,-16.7,2,-18,6\nc-2,2.7,-1,9.7,3,21c15.3,42,36.7,81.8,64,119.5c27.3,37.7,58,69.2,92,94.5z\nM500 241 v40 H399408 v-40z M500 435 v40 H400000 v-40z"},A=function(){function e(e){this.children=void 0,this.classes=void 0,this.height=void 0,this.depth=void 0,this.maxFontSize=void 0,this.style=void 0,this.children=e,this.classes=[],this.height=0,this.depth=0,this.maxFontSize=0,this.style={}}var t=e.prototype;return t.hasClass=function(e){return l.contains(this.classes,e)},t.toNode=function(){for(var e=document.createDocumentFragment(),t=0;t=5?0:e>=3?1:2]){var r=q[t]={cssEmPerMu:B.quad[t]/18};for(var n in B)B.hasOwnProperty(n)&&(r[n]=B[n][t])}return q[t]}(this.size)),this._fontMetrics},t.getColor=function(){return this.phantom?"transparent":this.color},e}();O.BASESIZE=6;var E=O,L={pt:1,mm:7227/2540,cm:7227/254,in:72.27,bp:1.00375,pc:12,dd:1238/1157,cc:14856/1157,nd:685/642,nc:1370/107,sp:1/65536,px:1.00375},D={ex:!0,em:!0,mu:!0},V=function(e){return"string"!=typeof e&&(e=e.unit),e in L||e in D||"ex"===e},P=function(e,t){var r;if(e.unit in L)r=L[e.unit]/t.fontMetrics().ptPerEm/t.sizeMultiplier;else if("mu"===e.unit)r=t.fontMetrics().cssEmPerMu;else{var a;if(a=t.style.isTight()?t.havingStyle(t.style.text()):t,"ex"===e.unit)r=a.fontMetrics().xHeight;else{if("em"!==e.unit)throw new n("Invalid unit: '"+e.unit+"'");r=a.fontMetrics().quad}a!==t&&(r*=a.sizeMultiplier/t.sizeMultiplier)}return Math.min(e.number*r,t.maxSize)},F=function(e){return+e.toFixed(4)+"em"},G=function(e){return e.filter((function(e){return e})).join(" ")},U=function(e,t,r){if(this.classes=e||[],this.attributes={},this.height=0,this.depth=0,this.maxFontSize=0,this.style=r||{},t){t.style.isTight()&&this.classes.push("mtight");var n=t.getColor();n&&(this.style.color=n)}},Y=function(e){var t=document.createElement(e);for(var r in t.className=G(this.classes),this.style)this.style.hasOwnProperty(r)&&(t.style[r]=this.style[r]);for(var n in this.attributes)this.attributes.hasOwnProperty(n)&&t.setAttribute(n,this.attributes[n]);for(var a=0;a"},W=function(){function e(e,t,r,n){this.children=void 0,this.attributes=void 0,this.classes=void 0,this.height=void 0,this.depth=void 0,this.width=void 0,this.maxFontSize=void 0,this.style=void 0,U.call(this,e,r,n),this.children=t||[]}var t=e.prototype;return t.setAttribute=function(e,t){this.attributes[e]=t},t.hasClass=function(e){return l.contains(this.classes,e)},t.toNode=function(){return Y.call(this,"span")},t.toMarkup=function(){return X.call(this,"span")},e}(),_=function(){function e(e,t,r,n){this.children=void 0,this.attributes=void 0,this.classes=void 0,this.height=void 0,this.depth=void 0,this.maxFontSize=void 0,this.style=void 0,U.call(this,t,n),this.children=r||[],this.setAttribute("href",e)}var t=e.prototype;return t.setAttribute=function(e,t){this.attributes[e]=t},t.hasClass=function(e){return l.contains(this.classes,e)},t.toNode=function(){return Y.call(this,"a")},t.toMarkup=function(){return X.call(this,"a")},e}(),j=function(){function e(e,t,r){this.src=void 0,this.alt=void 0,this.classes=void 0,this.height=void 0,this.depth=void 0,this.maxFontSize=void 0,this.style=void 0,this.alt=t,this.src=e,this.classes=["mord"],this.style=r}var t=e.prototype;return t.hasClass=function(e){return l.contains(this.classes,e)},t.toNode=function(){var e=document.createElement("img");for(var t in e.src=this.src,e.alt=this.alt,e.className="mord",this.style)this.style.hasOwnProperty(t)&&(e.style[t]=this.style[t]);return e},t.toMarkup=function(){var e=""+this.alt+"=a[0]&&e<=a[1])return r.name}return null}(this.text.charCodeAt(0));l&&this.classes.push(l+"_fallback"),/[\xee\xef\xed\xec]/.test(this.text)&&(this.text=$[this.text])}var t=e.prototype;return t.hasClass=function(e){return l.contains(this.classes,e)},t.toNode=function(){var e=document.createTextNode(this.text),t=null;for(var r in this.italic>0&&((t=document.createElement("span")).style.marginRight=F(this.italic)),this.classes.length>0&&((t=t||document.createElement("span")).className=G(this.classes)),this.style)this.style.hasOwnProperty(r)&&((t=t||document.createElement("span")).style[r]=this.style[r]);return t?(t.appendChild(e),t):e},t.toMarkup=function(){var e=!1,t="0&&(r+="margin-right:"+this.italic+"em;"),this.style)this.style.hasOwnProperty(n)&&(r+=l.hyphenate(n)+":"+this.style[n]+";");r&&(e=!0,t+=' style="'+l.escape(r)+'"');var a=l.escape(this.text);return e?(t+=">",t+=a,t+=""):a},e}(),K=function(){function e(e,t){this.children=void 0,this.attributes=void 0,this.children=e||[],this.attributes=t||{}}var t=e.prototype;return t.toNode=function(){var e=document.createElementNS("http://www.w3.org/2000/svg","svg");for(var t in this.attributes)Object.prototype.hasOwnProperty.call(this.attributes,t)&&e.setAttribute(t,this.attributes[t]);for(var r=0;r":""},e}(),Q=function(){function e(e){this.attributes=void 0,this.attributes=e||{}}var t=e.prototype;return t.toNode=function(){var e=document.createElementNS("http://www.w3.org/2000/svg","line");for(var t in this.attributes)Object.prototype.hasOwnProperty.call(this.attributes,t)&&e.setAttribute(t,this.attributes[t]);return e},t.toMarkup=function(){var e="","\\gt",!0),ie(oe,le,be,"\u2208","\\in",!0),ie(oe,le,be,"\ue020","\\@not"),ie(oe,le,be,"\u2282","\\subset",!0),ie(oe,le,be,"\u2283","\\supset",!0),ie(oe,le,be,"\u2286","\\subseteq",!0),ie(oe,le,be,"\u2287","\\supseteq",!0),ie(oe,he,be,"\u2288","\\nsubseteq",!0),ie(oe,he,be,"\u2289","\\nsupseteq",!0),ie(oe,le,be,"\u22a8","\\models"),ie(oe,le,be,"\u2190","\\leftarrow",!0),ie(oe,le,be,"\u2264","\\le"),ie(oe,le,be,"\u2264","\\leq",!0),ie(oe,le,be,"<","\\lt",!0),ie(oe,le,be,"\u2192","\\rightarrow",!0),ie(oe,le,be,"\u2192","\\to"),ie(oe,he,be,"\u2271","\\ngeq",!0),ie(oe,he,be,"\u2270","\\nleq",!0),ie(oe,le,ye,"\xa0","\\ "),ie(oe,le,ye,"\xa0","\\space"),ie(oe,le,ye,"\xa0","\\nobreakspace"),ie(se,le,ye,"\xa0","\\ "),ie(se,le,ye,"\xa0"," "),ie(se,le,ye,"\xa0","\\space"),ie(se,le,ye,"\xa0","\\nobreakspace"),ie(oe,le,ye,null,"\\nobreak"),ie(oe,le,ye,null,"\\allowbreak"),ie(oe,le,ve,",",","),ie(oe,le,ve,";",";"),ie(oe,he,me,"\u22bc","\\barwedge",!0),ie(oe,he,me,"\u22bb","\\veebar",!0),ie(oe,le,me,"\u2299","\\odot",!0),ie(oe,le,me,"\u2295","\\oplus",!0),ie(oe,le,me,"\u2297","\\otimes",!0),ie(oe,le,xe,"\u2202","\\partial",!0),ie(oe,le,me,"\u2298","\\oslash",!0),ie(oe,he,me,"\u229a","\\circledcirc",!0),ie(oe,he,me,"\u22a1","\\boxdot",!0),ie(oe,le,me,"\u25b3","\\bigtriangleup"),ie(oe,le,me,"\u25bd","\\bigtriangledown"),ie(oe,le,me,"\u2020","\\dagger"),ie(oe,le,me,"\u22c4","\\diamond"),ie(oe,le,me,"\u22c6","\\star"),ie(oe,le,me,"\u25c3","\\triangleleft"),ie(oe,le,me,"\u25b9","\\triangleright"),ie(oe,le,ge,"{","\\{"),ie(se,le,xe,"{","\\{"),ie(se,le,xe,"{","\\textbraceleft"),ie(oe,le,ue,"}","\\}"),ie(se,le,xe,"}","\\}"),ie(se,le,xe,"}","\\textbraceright"),ie(oe,le,ge,"{","\\lbrace"),ie(oe,le,ue,"}","\\rbrace"),ie(oe,le,ge,"[","\\lbrack",!0),ie(se,le,xe,"[","\\lbrack",!0),ie(oe,le,ue,"]","\\rbrack",!0),ie(se,le,xe,"]","\\rbrack",!0),ie(oe,le,ge,"(","\\lparen",!0),ie(oe,le,ue,")","\\rparen",!0),ie(se,le,xe,"<","\\textless",!0),ie(se,le,xe,">","\\textgreater",!0),ie(oe,le,ge,"\u230a","\\lfloor",!0),ie(oe,le,ue,"\u230b","\\rfloor",!0),ie(oe,le,ge,"\u2308","\\lceil",!0),ie(oe,le,ue,"\u2309","\\rceil",!0),ie(oe,le,xe,"\\","\\backslash"),ie(oe,le,xe,"\u2223","|"),ie(oe,le,xe,"\u2223","\\vert"),ie(se,le,xe,"|","\\textbar",!0),ie(oe,le,xe,"\u2225","\\|"),ie(oe,le,xe,"\u2225","\\Vert"),ie(se,le,xe,"\u2225","\\textbardbl"),ie(se,le,xe,"~","\\textasciitilde"),ie(se,le,xe,"\\","\\textbackslash"),ie(se,le,xe,"^","\\textasciicircum"),ie(oe,le,be,"\u2191","\\uparrow",!0),ie(oe,le,be,"\u21d1","\\Uparrow",!0),ie(oe,le,be,"\u2193","\\downarrow",!0),ie(oe,le,be,"\u21d3","\\Downarrow",!0),ie(oe,le,be,"\u2195","\\updownarrow",!0),ie(oe,le,be,"\u21d5","\\Updownarrow",!0),ie(oe,le,fe,"\u2210","\\coprod"),ie(oe,le,fe,"\u22c1","\\bigvee"),ie(oe,le,fe,"\u22c0","\\bigwedge"),ie(oe,le,fe,"\u2a04","\\biguplus"),ie(oe,le,fe,"\u22c2","\\bigcap"),ie(oe,le,fe,"\u22c3","\\bigcup"),ie(oe,le,fe,"\u222b","\\int"),ie(oe,le,fe,"\u222b","\\intop"),ie(oe,le,fe,"\u222c","\\iint"),ie(oe,le,fe,"\u222d","\\iiint"),ie(oe,le,fe,"\u220f","\\prod"),ie(oe,le,fe,"\u2211","\\sum"),ie(oe,le,fe,"\u2a02","\\bigotimes"),ie(oe,le,fe,"\u2a01","\\bigoplus"),ie(oe,le,fe,"\u2a00","\\bigodot"),ie(oe,le,fe,"\u222e","\\oint"),ie(oe,le,fe,"\u222f","\\oiint"),ie(oe,le,fe,"\u2230","\\oiiint"),ie(oe,le,fe,"\u2a06","\\bigsqcup"),ie(oe,le,fe,"\u222b","\\smallint"),ie(se,le,pe,"\u2026","\\textellipsis"),ie(oe,le,pe,"\u2026","\\mathellipsis"),ie(se,le,pe,"\u2026","\\ldots",!0),ie(oe,le,pe,"\u2026","\\ldots",!0),ie(oe,le,pe,"\u22ef","\\@cdots",!0),ie(oe,le,pe,"\u22f1","\\ddots",!0),ie(oe,le,xe,"\u22ee","\\varvdots"),ie(oe,le,ce,"\u02ca","\\acute"),ie(oe,le,ce,"\u02cb","\\grave"),ie(oe,le,ce,"\xa8","\\ddot"),ie(oe,le,ce,"~","\\tilde"),ie(oe,le,ce,"\u02c9","\\bar"),ie(oe,le,ce,"\u02d8","\\breve"),ie(oe,le,ce,"\u02c7","\\check"),ie(oe,le,ce,"^","\\hat"),ie(oe,le,ce,"\u20d7","\\vec"),ie(oe,le,ce,"\u02d9","\\dot"),ie(oe,le,ce,"\u02da","\\mathring"),ie(oe,le,de,"\ue131","\\@imath"),ie(oe,le,de,"\ue237","\\@jmath"),ie(oe,le,xe,"\u0131","\u0131"),ie(oe,le,xe,"\u0237","\u0237"),ie(se,le,xe,"\u0131","\\i",!0),ie(se,le,xe,"\u0237","\\j",!0),ie(se,le,xe,"\xdf","\\ss",!0),ie(se,le,xe,"\xe6","\\ae",!0),ie(se,le,xe,"\u0153","\\oe",!0),ie(se,le,xe,"\xf8","\\o",!0),ie(se,le,xe,"\xc6","\\AE",!0),ie(se,le,xe,"\u0152","\\OE",!0),ie(se,le,xe,"\xd8","\\O",!0),ie(se,le,ce,"\u02ca","\\'"),ie(se,le,ce,"\u02cb","\\`"),ie(se,le,ce,"\u02c6","\\^"),ie(se,le,ce,"\u02dc","\\~"),ie(se,le,ce,"\u02c9","\\="),ie(se,le,ce,"\u02d8","\\u"),ie(se,le,ce,"\u02d9","\\."),ie(se,le,ce,"\xb8","\\c"),ie(se,le,ce,"\u02da","\\r"),ie(se,le,ce,"\u02c7","\\v"),ie(se,le,ce,"\xa8",'\\"'),ie(se,le,ce,"\u02dd","\\H"),ie(se,le,ce,"\u25ef","\\textcircled");var we={"--":!0,"---":!0,"``":!0,"''":!0};ie(se,le,xe,"\u2013","--",!0),ie(se,le,xe,"\u2013","\\textendash"),ie(se,le,xe,"\u2014","---",!0),ie(se,le,xe,"\u2014","\\textemdash"),ie(se,le,xe,"\u2018","`",!0),ie(se,le,xe,"\u2018","\\textquoteleft"),ie(se,le,xe,"\u2019","'",!0),ie(se,le,xe,"\u2019","\\textquoteright"),ie(se,le,xe,"\u201c","``",!0),ie(se,le,xe,"\u201c","\\textquotedblleft"),ie(se,le,xe,"\u201d","''",!0),ie(se,le,xe,"\u201d","\\textquotedblright"),ie(oe,le,xe,"\xb0","\\degree",!0),ie(se,le,xe,"\xb0","\\degree"),ie(se,le,xe,"\xb0","\\textdegree",!0),ie(oe,le,xe,"\xa3","\\pounds"),ie(oe,le,xe,"\xa3","\\mathsterling",!0),ie(se,le,xe,"\xa3","\\pounds"),ie(se,le,xe,"\xa3","\\textsterling",!0),ie(oe,he,xe,"\u2720","\\maltese"),ie(se,he,xe,"\u2720","\\maltese");for(var ke='0123456789/@."',Se=0;Set&&(t=i.height),i.depth>r&&(r=i.depth),i.maxFontSize>n&&(n=i.maxFontSize)}e.height=t,e.depth=r,e.maxFontSize=n},Xe=function(e,t,r,n){var a=new W(e,t,r,n);return Ye(a),a},We=function(e,t,r,n){return new W(e,t,r,n)},_e=function(e){var t=new A(e);return Ye(t),t},je=function(e,t,r){var n="";switch(e){case"amsrm":n="AMS";break;case"textrm":n="Main";break;case"textsf":n="SansSerif";break;case"texttt":n="Typewriter";break;default:n=e}return n+"-"+("textbf"===t&&"textit"===r?"BoldItalic":"textbf"===t?"Bold":"textit"===t?"Italic":"Regular")},$e={mathbf:{variant:"bold",fontName:"Main-Bold"},mathrm:{variant:"normal",fontName:"Main-Regular"},textit:{variant:"italic",fontName:"Main-Italic"},mathit:{variant:"italic",fontName:"Main-Italic"},mathnormal:{variant:"italic",fontName:"Math-Italic"},mathbb:{variant:"double-struck",fontName:"AMS-Regular"},mathcal:{variant:"script",fontName:"Caligraphic-Regular"},mathfrak:{variant:"fraktur",fontName:"Fraktur-Regular"},mathscr:{variant:"script",fontName:"Script-Regular"},mathsf:{variant:"sans-serif",fontName:"SansSerif-Regular"},mathtt:{variant:"monospace",fontName:"Typewriter-Regular"}},Ze={vec:["vec",.471,.714],oiintSize1:["oiintSize1",.957,.499],oiintSize2:["oiintSize2",1.472,.659],oiiintSize1:["oiiintSize1",1.304,.499],oiiintSize2:["oiiintSize2",1.98,.659]},Ke={fontMap:$e,makeSymbol:Ge,mathsym:function(e,t,r,n){return void 0===n&&(n=[]),"boldsymbol"===r.font&&Fe(e,"Main-Bold",t).metrics?Ge(e,"Main-Bold",t,r,n.concat(["mathbf"])):"\\"===e||"main"===ae[t][e].font?Ge(e,"Main-Regular",t,r,n):Ge(e,"AMS-Regular",t,r,n.concat(["amsrm"]))},makeSpan:Xe,makeSvgSpan:We,makeLineSpan:function(e,t,r){var n=Xe([e],[],t);return n.height=Math.max(r||t.fontMetrics().defaultRuleThickness,t.minRuleThickness),n.style.borderBottomWidth=F(n.height),n.maxFontSize=1,n},makeAnchor:function(e,t,r,n){var a=new _(e,t,r,n);return Ye(a),a},makeFragment:_e,wrapFragment:function(e,t){return e instanceof A?Xe([],[e],t):e},makeVList:function(e,t){for(var r=function(e){if("individualShift"===e.positionType){for(var t=e.children,r=[t[0]],n=-t[0].shift-t[0].elem.depth,a=n,i=1;i0)return Ge(i,h,a,t,o.concat(c));if(l){var u,p;if("boldsymbol"===l){var d=function(e,t,r,n,a){return"textord"!==a&&Fe(e,"Math-BoldItalic",t).metrics?{fontName:"Math-BoldItalic",fontClass:"boldsymbol"}:{fontName:"Main-Bold",fontClass:"mathbf"}}(i,a,0,0,r);u=d.fontName,p=[d.fontClass]}else s?(u=$e[l].fontName,p=[l]):(u=je(l,t.fontWeight,t.fontShape),p=[l,t.fontWeight,t.fontShape]);if(Fe(i,u,a).metrics)return Ge(i,u,a,t,o.concat(p));if(we.hasOwnProperty(i)&&"Typewriter"===u.slice(0,10)){for(var f=[],g=0;g0&&(o.push(kt(s,t)),s=[]),o.push(a[l]));s.length>0&&o.push(kt(s,t)),r?((i=kt(ft(r,t,!0))).classes=["tag"],o.push(i)):n&&o.push(n);var c=ct(["katex-html"],o);if(c.setAttribute("aria-hidden","true"),i){var m=i.children[0];m.style.height=F(c.height+c.depth),c.depth&&(m.style.verticalAlign=F(-c.depth))}return c}function Mt(e){return new A(e)}var zt=function(){function e(e,t,r){this.type=void 0,this.attributes=void 0,this.children=void 0,this.classes=void 0,this.type=e,this.attributes={},this.children=t||[],this.classes=r||[]}var t=e.prototype;return t.setAttribute=function(e,t){this.attributes[e]=t},t.getAttribute=function(e){return this.attributes[e]},t.toNode=function(){var e=document.createElementNS("http://www.w3.org/1998/Math/MathML",this.type);for(var t in this.attributes)Object.prototype.hasOwnProperty.call(this.attributes,t)&&e.setAttribute(t,this.attributes[t]);this.classes.length>0&&(e.className=G(this.classes));for(var r=0;r0&&(e+=' class ="'+l.escape(G(this.classes))+'"'),e+=">";for(var r=0;r"},t.toText=function(){return this.children.map((function(e){return e.toText()})).join("")},e}(),At=function(){function e(e){this.text=void 0,this.text=e}var t=e.prototype;return t.toNode=function(){return document.createTextNode(this.text)},t.toMarkup=function(){return l.escape(this.toText())},t.toText=function(){return this.text},e}(),Tt={MathNode:zt,TextNode:At,SpaceNode:function(){function e(e){this.width=void 0,this.character=void 0,this.width=e,this.character=e>=.05555&&e<=.05556?"\u200a":e>=.1666&&e<=.1667?"\u2009":e>=.2222&&e<=.2223?"\u2005":e>=.2777&&e<=.2778?"\u2005\u200a":e>=-.05556&&e<=-.05555?"\u200a\u2063":e>=-.1667&&e<=-.1666?"\u2009\u2063":e>=-.2223&&e<=-.2222?"\u205f\u2063":e>=-.2778&&e<=-.2777?"\u2005\u2063":null}var t=e.prototype;return t.toNode=function(){if(this.character)return document.createTextNode(this.character);var e=document.createElementNS("http://www.w3.org/1998/Math/MathML","mspace");return e.setAttribute("width",F(this.width)),e},t.toMarkup=function(){return this.character?""+this.character+"":''},t.toText=function(){return this.character?this.character:" "},e}(),newDocumentFragment:Mt},Bt=function(e,t,r){return!ae[t][e]||!ae[t][e].replace||55349===e.charCodeAt(0)||we.hasOwnProperty(e)&&r&&(r.fontFamily&&"tt"===r.fontFamily.slice(4,6)||r.font&&"tt"===r.font.slice(4,6))||(e=ae[t][e].replace),new Tt.TextNode(e)},Ct=function(e){return 1===e.length?e[0]:new Tt.MathNode("mrow",e)},Nt=function(e,t){if("texttt"===t.fontFamily)return"monospace";if("textsf"===t.fontFamily)return"textit"===t.fontShape&&"textbf"===t.fontWeight?"sans-serif-bold-italic":"textit"===t.fontShape?"sans-serif-italic":"textbf"===t.fontWeight?"bold-sans-serif":"sans-serif";if("textit"===t.fontShape&&"textbf"===t.fontWeight)return"bold-italic";if("textit"===t.fontShape)return"italic";if("textbf"===t.fontWeight)return"bold";var r=t.font;if(!r||"mathnormal"===r)return null;var n=e.mode;if("mathit"===r)return"italic";if("boldsymbol"===r)return"textord"===e.type?"bold":"bold-italic";if("mathbf"===r)return"bold";if("mathbb"===r)return"double-struck";if("mathfrak"===r)return"fraktur";if("mathscr"===r||"mathcal"===r)return"script";if("mathsf"===r)return"sans-serif";if("mathtt"===r)return"monospace";var a=e.text;return l.contains(["\\imath","\\jmath"],a)?null:(ae[n][a]&&ae[n][a].replace&&(a=ae[n][a].replace),N(a,Ke.fontMap[r].fontName,n)?Ke.fontMap[r].variant:null)},qt=function(e,t,r){if(1===e.length){var n=Rt(e[0],t);return r&&n instanceof zt&&"mo"===n.type&&(n.setAttribute("lspace","0em"),n.setAttribute("rspace","0em")),[n]}for(var a,i=[],o=0;o0&&(p.text=p.text.slice(0,1)+"\u0338"+p.text.slice(1),i.pop())}}}i.push(s),a=s}return i},It=function(e,t,r){return Ct(qt(e,t,r))},Rt=function(e,t){if(!e)return new Tt.MathNode("mrow");if(it[e.type])return it[e.type](e,t);throw new n("Got group of unknown type: '"+e.type+"'")};function Ht(e,t,r,n,a){var i,o=qt(e,r);i=1===o.length&&o[0]instanceof zt&&l.contains(["mrow","mtable"],o[0].type)?o[0]:new Tt.MathNode("mrow",o);var s=new Tt.MathNode("annotation",[new Tt.TextNode(t)]);s.setAttribute("encoding","application/x-tex");var h=new Tt.MathNode("semantics",[i,s]),c=new Tt.MathNode("math",[h]);c.setAttribute("xmlns","http://www.w3.org/1998/Math/MathML"),n&&c.setAttribute("display","block");var m=a?"katex":"katex-mathml";return Ke.makeSpan([m],[c])}var Ot=function(e){return new E({style:e.displayMode?x.DISPLAY:x.TEXT,maxSize:e.maxSize,minRuleThickness:e.minRuleThickness})},Et=function(e,t){if(t.displayMode){var r=["katex-display"];t.leqno&&r.push("leqno"),t.fleqn&&r.push("fleqn"),e=Ke.makeSpan(r,[e])}return e},Lt=function(e,t,r){var n,a=Ot(r);if("mathml"===r.output)return Ht(e,t,a,r.displayMode,!0);if("html"===r.output){var i=St(e,a);n=Ke.makeSpan(["katex"],[i])}else{var o=Ht(e,t,a,r.displayMode,!1),s=St(e,a);n=Ke.makeSpan(["katex"],[o,s])}return Et(n,r)},Dt={widehat:"^",widecheck:"\u02c7",widetilde:"~",utilde:"~",overleftarrow:"\u2190",underleftarrow:"\u2190",xleftarrow:"\u2190",overrightarrow:"\u2192",underrightarrow:"\u2192",xrightarrow:"\u2192",underbrace:"\u23df",overbrace:"\u23de",overgroup:"\u23e0",undergroup:"\u23e1",overleftrightarrow:"\u2194",underleftrightarrow:"\u2194",xleftrightarrow:"\u2194",Overrightarrow:"\u21d2",xRightarrow:"\u21d2",overleftharpoon:"\u21bc",xleftharpoonup:"\u21bc",overrightharpoon:"\u21c0",xrightharpoonup:"\u21c0",xLeftarrow:"\u21d0",xLeftrightarrow:"\u21d4",xhookleftarrow:"\u21a9",xhookrightarrow:"\u21aa",xmapsto:"\u21a6",xrightharpoondown:"\u21c1",xleftharpoondown:"\u21bd",xrightleftharpoons:"\u21cc",xleftrightharpoons:"\u21cb",xtwoheadleftarrow:"\u219e",xtwoheadrightarrow:"\u21a0",xlongequal:"=",xtofrom:"\u21c4",xrightleftarrows:"\u21c4",xrightequilibrium:"\u21cc",xleftequilibrium:"\u21cb","\\cdrightarrow":"\u2192","\\cdleftarrow":"\u2190","\\cdlongequal":"="},Vt={overrightarrow:[["rightarrow"],.888,522,"xMaxYMin"],overleftarrow:[["leftarrow"],.888,522,"xMinYMin"],underrightarrow:[["rightarrow"],.888,522,"xMaxYMin"],underleftarrow:[["leftarrow"],.888,522,"xMinYMin"],xrightarrow:[["rightarrow"],1.469,522,"xMaxYMin"],"\\cdrightarrow":[["rightarrow"],3,522,"xMaxYMin"],xleftarrow:[["leftarrow"],1.469,522,"xMinYMin"],"\\cdleftarrow":[["leftarrow"],3,522,"xMinYMin"],Overrightarrow:[["doublerightarrow"],.888,560,"xMaxYMin"],xRightarrow:[["doublerightarrow"],1.526,560,"xMaxYMin"],xLeftarrow:[["doubleleftarrow"],1.526,560,"xMinYMin"],overleftharpoon:[["leftharpoon"],.888,522,"xMinYMin"],xleftharpoonup:[["leftharpoon"],.888,522,"xMinYMin"],xleftharpoondown:[["leftharpoondown"],.888,522,"xMinYMin"],overrightharpoon:[["rightharpoon"],.888,522,"xMaxYMin"],xrightharpoonup:[["rightharpoon"],.888,522,"xMaxYMin"],xrightharpoondown:[["rightharpoondown"],.888,522,"xMaxYMin"],xlongequal:[["longequal"],.888,334,"xMinYMin"],"\\cdlongequal":[["longequal"],3,334,"xMinYMin"],xtwoheadleftarrow:[["twoheadleftarrow"],.888,334,"xMinYMin"],xtwoheadrightarrow:[["twoheadrightarrow"],.888,334,"xMaxYMin"],overleftrightarrow:[["leftarrow","rightarrow"],.888,522],overbrace:[["leftbrace","midbrace","rightbrace"],1.6,548],underbrace:[["leftbraceunder","midbraceunder","rightbraceunder"],1.6,548],underleftrightarrow:[["leftarrow","rightarrow"],.888,522],xleftrightarrow:[["leftarrow","rightarrow"],1.75,522],xLeftrightarrow:[["doubleleftarrow","doublerightarrow"],1.75,560],xrightleftharpoons:[["leftharpoondownplus","rightharpoonplus"],1.75,716],xleftrightharpoons:[["leftharpoonplus","rightharpoondownplus"],1.75,716],xhookleftarrow:[["leftarrow","righthook"],1.08,522],xhookrightarrow:[["lefthook","rightarrow"],1.08,522],overlinesegment:[["leftlinesegment","rightlinesegment"],.888,522],underlinesegment:[["leftlinesegment","rightlinesegment"],.888,522],overgroup:[["leftgroup","rightgroup"],.888,342],undergroup:[["leftgroupunder","rightgroupunder"],.888,342],xmapsto:[["leftmapsto","rightarrow"],1.5,522],xtofrom:[["leftToFrom","rightToFrom"],1.75,528],xrightleftarrows:[["baraboveleftarrow","rightarrowabovebar"],1.75,901],xrightequilibrium:[["baraboveshortleftharpoon","rightharpoonaboveshortbar"],1.75,716],xleftequilibrium:[["shortbaraboveleftharpoon","shortrightharpoonabovebar"],1.75,716]},Pt=function(e,t,r,n,a){var i,o=e.height+e.depth+r+n;if(/fbox|color|angl/.test(t)){if(i=Ke.makeSpan(["stretchy",t],[],a),"fbox"===t){var s=a.color&&a.getColor();s&&(i.style.borderColor=s)}}else{var l=[];/^[bx]cancel$/.test(t)&&l.push(new Q({x1:"0",y1:"0",x2:"100%",y2:"100%","stroke-width":"0.046em"})),/^x?cancel$/.test(t)&&l.push(new Q({x1:"0",y1:"100%",x2:"100%",y2:"0","stroke-width":"0.046em"}));var h=new K(l,{width:"100%",height:F(o)});i=Ke.makeSvgSpan([],[h],a)}return i.height=o,i.style.height=F(o),i},Ft=function(e){var t=new Tt.MathNode("mo",[new Tt.TextNode(Dt[e.replace(/^\\/,"")])]);return t.setAttribute("stretchy","true"),t},Gt=function(e,t){var r=function(){var r=4e5,n=e.label.slice(1);if(l.contains(["widehat","widecheck","widetilde","utilde"],n)){var a,i,o,s="ordgroup"===(d=e.base).type?d.body.length:1;if(s>5)"widehat"===n||"widecheck"===n?(a=420,r=2364,o=.42,i=n+"4"):(a=312,r=2340,o=.34,i="tilde4");else{var h=[1,1,2,2,3,3][s];"widehat"===n||"widecheck"===n?(r=[0,1062,2364,2364,2364][h],a=[0,239,300,360,420][h],o=[0,.24,.3,.3,.36,.42][h],i=n+h):(r=[0,600,1033,2339,2340][h],a=[0,260,286,306,312][h],o=[0,.26,.286,.3,.306,.34][h],i="tilde"+h)}var c=new J(i),m=new K([c],{width:"100%",height:F(o),viewBox:"0 0 "+r+" "+a,preserveAspectRatio:"none"});return{span:Ke.makeSvgSpan([],[m],t),minWidth:0,height:o}}var u,p,d,f=[],g=Vt[n],v=g[0],b=g[1],y=g[2],x=y/1e3,w=v.length;if(1===w)u=["hide-tail"],p=[g[3]];else if(2===w)u=["halfarrow-left","halfarrow-right"],p=["xMinYMin","xMaxYMin"];else{if(3!==w)throw new Error("Correct katexImagesData or update code here to support\n "+w+" children.");u=["brace-left","brace-center","brace-right"],p=["xMinYMin","xMidYMin","xMaxYMin"]}for(var k=0;k0&&(n.style.minWidth=F(a)),n};function Ut(e,t){if(!e||e.type!==t)throw new Error("Expected node of type "+t+", but got "+(e?"node of type "+e.type:String(e)));return e}function Yt(e){var t=Xt(e);if(!t)throw new Error("Expected node of symbol group type, but got "+(e?"node of type "+e.type:String(e)));return t}function Xt(e){return e&&("atom"===e.type||re.hasOwnProperty(e.type))?e:null}var Wt=function(e,t){var r,n,a;e&&"supsub"===e.type?(r=(n=Ut(e.base,"accent")).base,e.base=r,a=function(e){if(e instanceof W)return e;throw new Error("Expected span but got "+String(e)+".")}(wt(e,t)),e.base=n):r=(n=Ut(e,"accent")).base;var i=wt(r,t.havingCrampedStyle()),o=0;if(n.isShifty&&l.isCharacterBox(r)){var s=l.getBaseElem(r);o=ee(wt(s,t.havingCrampedStyle())).skew}var h,c="\\c"===n.label,m=c?i.height+i.depth:Math.min(i.height,t.fontMetrics().xHeight);if(n.isStretchy)h=Gt(n,t),h=Ke.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:i},{type:"elem",elem:h,wrapperClasses:["svg-align"],wrapperStyle:o>0?{width:"calc(100% - "+F(2*o)+")",marginLeft:F(2*o)}:void 0}]},t);else{var u,p;"\\vec"===n.label?(u=Ke.staticSvg("vec",t),p=Ke.svgData.vec[1]):((u=ee(u=Ke.makeOrd({mode:n.mode,text:n.label},t,"textord"))).italic=0,p=u.width,c&&(m+=u.depth)),h=Ke.makeSpan(["accent-body"],[u]);var d="\\textcircled"===n.label;d&&(h.classes.push("accent-full"),m=i.height);var f=o;d||(f-=p/2),h.style.left=F(f),"\\textcircled"===n.label&&(h.style.top=".2em"),h=Ke.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:i},{type:"kern",size:-m},{type:"elem",elem:h}]},t)}var g=Ke.makeSpan(["mord","accent"],[h],t);return a?(a.children[0]=g,a.height=Math.max(g.height,a.height),a.classes[0]="mord",a):g},_t=function(e,t){var r=e.isStretchy?Ft(e.label):new Tt.MathNode("mo",[Bt(e.label,e.mode)]),n=new Tt.MathNode("mover",[Rt(e.base,t),r]);return n.setAttribute("accent","true"),n},jt=new RegExp(["\\acute","\\grave","\\ddot","\\tilde","\\bar","\\breve","\\check","\\hat","\\vec","\\dot","\\mathring"].map((function(e){return"\\"+e})).join("|"));ot({type:"accent",names:["\\acute","\\grave","\\ddot","\\tilde","\\bar","\\breve","\\check","\\hat","\\vec","\\dot","\\mathring","\\widecheck","\\widehat","\\widetilde","\\overrightarrow","\\overleftarrow","\\Overrightarrow","\\overleftrightarrow","\\overgroup","\\overlinesegment","\\overleftharpoon","\\overrightharpoon"],props:{numArgs:1},handler:function(e,t){var r=lt(t[0]),n=!jt.test(e.funcName),a=!n||"\\widehat"===e.funcName||"\\widetilde"===e.funcName||"\\widecheck"===e.funcName;return{type:"accent",mode:e.parser.mode,label:e.funcName,isStretchy:n,isShifty:a,base:r}},htmlBuilder:Wt,mathmlBuilder:_t}),ot({type:"accent",names:["\\'","\\`","\\^","\\~","\\=","\\u","\\.",'\\"',"\\c","\\r","\\H","\\v","\\textcircled"],props:{numArgs:1,allowedInText:!0,allowedInMath:!0,argTypes:["primitive"]},handler:function(e,t){var r=t[0],n=e.parser.mode;return"math"===n&&(e.parser.settings.reportNonstrict("mathVsTextAccents","LaTeX's accent "+e.funcName+" works only in text mode"),n="text"),{type:"accent",mode:n,label:e.funcName,isStretchy:!1,isShifty:!0,base:r}},htmlBuilder:Wt,mathmlBuilder:_t}),ot({type:"accentUnder",names:["\\underleftarrow","\\underrightarrow","\\underleftrightarrow","\\undergroup","\\underlinesegment","\\utilde"],props:{numArgs:1},handler:function(e,t){var r=e.parser,n=e.funcName,a=t[0];return{type:"accentUnder",mode:r.mode,label:n,base:a}},htmlBuilder:function(e,t){var r=wt(e.base,t),n=Gt(e,t),a="\\utilde"===e.label?.12:0,i=Ke.makeVList({positionType:"top",positionData:r.height,children:[{type:"elem",elem:n,wrapperClasses:["svg-align"]},{type:"kern",size:a},{type:"elem",elem:r}]},t);return Ke.makeSpan(["mord","accentunder"],[i],t)},mathmlBuilder:function(e,t){var r=Ft(e.label),n=new Tt.MathNode("munder",[Rt(e.base,t),r]);return n.setAttribute("accentunder","true"),n}});var $t=function(e){var t=new Tt.MathNode("mpadded",e?[e]:[]);return t.setAttribute("width","+0.6em"),t.setAttribute("lspace","0.3em"),t};ot({type:"xArrow",names:["\\xleftarrow","\\xrightarrow","\\xLeftarrow","\\xRightarrow","\\xleftrightarrow","\\xLeftrightarrow","\\xhookleftarrow","\\xhookrightarrow","\\xmapsto","\\xrightharpoondown","\\xrightharpoonup","\\xleftharpoondown","\\xleftharpoonup","\\xrightleftharpoons","\\xleftrightharpoons","\\xlongequal","\\xtwoheadrightarrow","\\xtwoheadleftarrow","\\xtofrom","\\xrightleftarrows","\\xrightequilibrium","\\xleftequilibrium","\\\\cdrightarrow","\\\\cdleftarrow","\\\\cdlongequal"],props:{numArgs:1,numOptionalArgs:1},handler:function(e,t,r){var n=e.parser,a=e.funcName;return{type:"xArrow",mode:n.mode,label:a,body:t[0],below:r[0]}},htmlBuilder:function(e,t){var r,n=t.style,a=t.havingStyle(n.sup()),i=Ke.wrapFragment(wt(e.body,a,t),t),o="\\x"===e.label.slice(0,2)?"x":"cd";i.classes.push(o+"-arrow-pad"),e.below&&(a=t.havingStyle(n.sub()),(r=Ke.wrapFragment(wt(e.below,a,t),t)).classes.push(o+"-arrow-pad"));var s,l=Gt(e,t),h=-t.fontMetrics().axisHeight+.5*l.height,c=-t.fontMetrics().axisHeight-.5*l.height-.111;if((i.depth>.25||"\\xleftequilibrium"===e.label)&&(c-=i.depth),r){var m=-t.fontMetrics().axisHeight+r.height+.5*l.height+.111;s=Ke.makeVList({positionType:"individualShift",children:[{type:"elem",elem:i,shift:c},{type:"elem",elem:l,shift:h},{type:"elem",elem:r,shift:m}]},t)}else s=Ke.makeVList({positionType:"individualShift",children:[{type:"elem",elem:i,shift:c},{type:"elem",elem:l,shift:h}]},t);return s.children[0].children[0].children[1].classes.push("svg-align"),Ke.makeSpan(["mrel","x-arrow"],[s],t)},mathmlBuilder:function(e,t){var r,n=Ft(e.label);if(n.setAttribute("minsize","x"===e.label.charAt(0)?"1.75em":"3.0em"),e.body){var a=$t(Rt(e.body,t));if(e.below){var i=$t(Rt(e.below,t));r=new Tt.MathNode("munderover",[n,i,a])}else r=new Tt.MathNode("mover",[n,a])}else if(e.below){var o=$t(Rt(e.below,t));r=new Tt.MathNode("munder",[n,o])}else r=$t(),r=new Tt.MathNode("mover",[n,r]);return r}});var Zt=Ke.makeSpan;function Kt(e,t){var r=ft(e.body,t,!0);return Zt([e.mclass],r,t)}function Jt(e,t){var r,n=qt(e.body,t);return"minner"===e.mclass?r=new Tt.MathNode("mpadded",n):"mord"===e.mclass?e.isCharacterBox?(r=n[0]).type="mi":r=new Tt.MathNode("mi",n):(e.isCharacterBox?(r=n[0]).type="mo":r=new Tt.MathNode("mo",n),"mbin"===e.mclass?(r.attributes.lspace="0.22em",r.attributes.rspace="0.22em"):"mpunct"===e.mclass?(r.attributes.lspace="0em",r.attributes.rspace="0.17em"):"mopen"===e.mclass||"mclose"===e.mclass?(r.attributes.lspace="0em",r.attributes.rspace="0em"):"minner"===e.mclass&&(r.attributes.lspace="0.0556em",r.attributes.width="+0.1111em")),r}ot({type:"mclass",names:["\\mathord","\\mathbin","\\mathrel","\\mathopen","\\mathclose","\\mathpunct","\\mathinner"],props:{numArgs:1,primitive:!0},handler:function(e,t){var r=e.parser,n=e.funcName,a=t[0];return{type:"mclass",mode:r.mode,mclass:"m"+n.slice(5),body:ht(a),isCharacterBox:l.isCharacterBox(a)}},htmlBuilder:Kt,mathmlBuilder:Jt});var Qt=function(e){var t="ordgroup"===e.type&&e.body.length?e.body[0]:e;return"atom"!==t.type||"bin"!==t.family&&"rel"!==t.family?"mord":"m"+t.family};ot({type:"mclass",names:["\\@binrel"],props:{numArgs:2},handler:function(e,t){return{type:"mclass",mode:e.parser.mode,mclass:Qt(t[0]),body:ht(t[1]),isCharacterBox:l.isCharacterBox(t[1])}}}),ot({type:"mclass",names:["\\stackrel","\\overset","\\underset"],props:{numArgs:2},handler:function(e,t){var r,n=e.parser,a=e.funcName,i=t[1],o=t[0];r="\\stackrel"!==a?Qt(i):"mrel";var s={type:"op",mode:i.mode,limits:!0,alwaysHandleSupSub:!0,parentIsSupSub:!1,symbol:!1,suppressBaseShift:"\\stackrel"!==a,body:ht(i)},h={type:"supsub",mode:o.mode,base:s,sup:"\\underset"===a?null:o,sub:"\\underset"===a?o:null};return{type:"mclass",mode:n.mode,mclass:r,body:[h],isCharacterBox:l.isCharacterBox(h)}},htmlBuilder:Kt,mathmlBuilder:Jt}),ot({type:"pmb",names:["\\pmb"],props:{numArgs:1,allowedInText:!0},handler:function(e,t){return{type:"pmb",mode:e.parser.mode,mclass:Qt(t[0]),body:ht(t[0])}},htmlBuilder:function(e,t){var r=ft(e.body,t,!0),n=Ke.makeSpan([e.mclass],r,t);return n.style.textShadow="0.02em 0.01em 0.04px",n},mathmlBuilder:function(e,t){var r=qt(e.body,t),n=new Tt.MathNode("mstyle",r);return n.setAttribute("style","text-shadow: 0.02em 0.01em 0.04px"),n}});var er={">":"\\\\cdrightarrow","<":"\\\\cdleftarrow","=":"\\\\cdlongequal",A:"\\uparrow",V:"\\downarrow","|":"\\Vert",".":"no arrow"},tr=function(e){return"textord"===e.type&&"@"===e.text};function rr(e,t,r){var n=er[e];switch(n){case"\\\\cdrightarrow":case"\\\\cdleftarrow":return r.callFunction(n,[t[0]],[t[1]]);case"\\uparrow":case"\\downarrow":var a={type:"atom",text:n,mode:"math",family:"rel"},i={type:"ordgroup",mode:"math",body:[r.callFunction("\\\\cdleft",[t[0]],[]),r.callFunction("\\Big",[a],[]),r.callFunction("\\\\cdright",[t[1]],[])]};return r.callFunction("\\\\cdparent",[i],[]);case"\\\\cdlongequal":return r.callFunction("\\\\cdlongequal",[],[]);case"\\Vert":return r.callFunction("\\Big",[{type:"textord",text:"\\Vert",mode:"math"}],[]);default:return{type:"textord",text:" ",mode:"math"}}}ot({type:"cdlabel",names:["\\\\cdleft","\\\\cdright"],props:{numArgs:1},handler:function(e,t){var r=e.parser,n=e.funcName;return{type:"cdlabel",mode:r.mode,side:n.slice(4),label:t[0]}},htmlBuilder:function(e,t){var r=t.havingStyle(t.style.sup()),n=Ke.wrapFragment(wt(e.label,r,t),t);return n.classes.push("cd-label-"+e.side),n.style.bottom=F(.8-n.depth),n.height=0,n.depth=0,n},mathmlBuilder:function(e,t){var r=new Tt.MathNode("mrow",[Rt(e.label,t)]);return(r=new Tt.MathNode("mpadded",[r])).setAttribute("width","0"),"left"===e.side&&r.setAttribute("lspace","-1width"),r.setAttribute("voffset","0.7em"),(r=new Tt.MathNode("mstyle",[r])).setAttribute("displaystyle","false"),r.setAttribute("scriptlevel","1"),r}}),ot({type:"cdlabelparent",names:["\\\\cdparent"],props:{numArgs:1},handler:function(e,t){return{type:"cdlabelparent",mode:e.parser.mode,fragment:t[0]}},htmlBuilder:function(e,t){var r=Ke.wrapFragment(wt(e.fragment,t),t);return r.classes.push("cd-vert-arrow"),r},mathmlBuilder:function(e,t){return new Tt.MathNode("mrow",[Rt(e.fragment,t)])}}),ot({type:"textord",names:["\\@char"],props:{numArgs:1,allowedInText:!0},handler:function(e,t){for(var r=e.parser,a=Ut(t[0],"ordgroup").body,i="",o=0;o=1114111)throw new n("\\@char with invalid code point "+i);return l<=65535?s=String.fromCharCode(l):(l-=65536,s=String.fromCharCode(55296+(l>>10),56320+(1023&l))),{type:"textord",mode:r.mode,text:s}}});var nr=function(e,t){var r=ft(e.body,t.withColor(e.color),!1);return Ke.makeFragment(r)},ar=function(e,t){var r=qt(e.body,t.withColor(e.color)),n=new Tt.MathNode("mstyle",r);return n.setAttribute("mathcolor",e.color),n};ot({type:"color",names:["\\textcolor"],props:{numArgs:2,allowedInText:!0,argTypes:["color","original"]},handler:function(e,t){var r=e.parser,n=Ut(t[0],"color-token").color,a=t[1];return{type:"color",mode:r.mode,color:n,body:ht(a)}},htmlBuilder:nr,mathmlBuilder:ar}),ot({type:"color",names:["\\color"],props:{numArgs:1,allowedInText:!0,argTypes:["color"]},handler:function(e,t){var r=e.parser,n=e.breakOnTokenText,a=Ut(t[0],"color-token").color;r.gullet.macros.set("\\current@color",a);var i=r.parseExpression(!0,n);return{type:"color",mode:r.mode,color:a,body:i}},htmlBuilder:nr,mathmlBuilder:ar}),ot({type:"cr",names:["\\\\"],props:{numArgs:0,numOptionalArgs:0,allowedInText:!0},handler:function(e,t,r){var n=e.parser,a="["===n.gullet.future().text?n.parseSizeGroup(!0):null,i=!n.settings.displayMode||!n.settings.useStrictBehavior("newLineInDisplayMode","In LaTeX, \\\\ or \\newline does nothing in display mode");return{type:"cr",mode:n.mode,newLine:i,size:a&&Ut(a,"size").value}},htmlBuilder:function(e,t){var r=Ke.makeSpan(["mspace"],[],t);return e.newLine&&(r.classes.push("newline"),e.size&&(r.style.marginTop=F(P(e.size,t)))),r},mathmlBuilder:function(e,t){var r=new Tt.MathNode("mspace");return e.newLine&&(r.setAttribute("linebreak","newline"),e.size&&r.setAttribute("height",F(P(e.size,t)))),r}});var ir={"\\global":"\\global","\\long":"\\\\globallong","\\\\globallong":"\\\\globallong","\\def":"\\gdef","\\gdef":"\\gdef","\\edef":"\\xdef","\\xdef":"\\xdef","\\let":"\\\\globallet","\\futurelet":"\\\\globalfuture"},or=function(e){var t=e.text;if(/^(?:[\\{}$&#^_]|EOF)$/.test(t))throw new n("Expected a control sequence",e);return t},sr=function(e,t,r,n){var a=e.gullet.macros.get(r.text);null==a&&(r.noexpand=!0,a={tokens:[r],numArgs:0,unexpandable:!e.gullet.isExpandable(r.text)}),e.gullet.macros.set(t,a,n)};ot({type:"internal",names:["\\global","\\long","\\\\globallong"],props:{numArgs:0,allowedInText:!0},handler:function(e){var t=e.parser,r=e.funcName;t.consumeSpaces();var a=t.fetch();if(ir[a.text])return"\\global"!==r&&"\\\\globallong"!==r||(a.text=ir[a.text]),Ut(t.parseFunction(),"internal");throw new n("Invalid token after macro prefix",a)}}),ot({type:"internal",names:["\\def","\\gdef","\\edef","\\xdef"],props:{numArgs:0,allowedInText:!0,primitive:!0},handler:function(e){var t=e.parser,r=e.funcName,a=t.gullet.popToken(),i=a.text;if(/^(?:[\\{}$&#^_]|EOF)$/.test(i))throw new n("Expected a control sequence",a);for(var o,s=0,l=[[]];"{"!==t.gullet.future().text;)if("#"===(a=t.gullet.popToken()).text){if("{"===t.gullet.future().text){o=t.gullet.future(),l[s].push("{");break}if(a=t.gullet.popToken(),!/^[1-9]$/.test(a.text))throw new n('Invalid argument number "'+a.text+'"');if(parseInt(a.text)!==s+1)throw new n('Argument number "'+a.text+'" out of order');s++,l.push([])}else{if("EOF"===a.text)throw new n("Expected a macro definition");l[s].push(a.text)}var h=t.gullet.consumeArg().tokens;return o&&h.unshift(o),"\\edef"!==r&&"\\xdef"!==r||(h=t.gullet.expandTokens(h)).reverse(),t.gullet.macros.set(i,{tokens:h,numArgs:s,delimiters:l},r===ir[r]),{type:"internal",mode:t.mode}}}),ot({type:"internal",names:["\\let","\\\\globallet"],props:{numArgs:0,allowedInText:!0,primitive:!0},handler:function(e){var t=e.parser,r=e.funcName,n=or(t.gullet.popToken());t.gullet.consumeSpaces();var a=function(e){var t=e.gullet.popToken();return"="===t.text&&" "===(t=e.gullet.popToken()).text&&(t=e.gullet.popToken()),t}(t);return sr(t,n,a,"\\\\globallet"===r),{type:"internal",mode:t.mode}}}),ot({type:"internal",names:["\\futurelet","\\\\globalfuture"],props:{numArgs:0,allowedInText:!0,primitive:!0},handler:function(e){var t=e.parser,r=e.funcName,n=or(t.gullet.popToken()),a=t.gullet.popToken(),i=t.gullet.popToken();return sr(t,n,i,"\\\\globalfuture"===r),t.gullet.pushToken(i),t.gullet.pushToken(a),{type:"internal",mode:t.mode}}});var lr=function(e,t,r){var n=N(ae.math[e]&&ae.math[e].replace||e,t,r);if(!n)throw new Error("Unsupported symbol "+e+" and font size "+t+".");return n},hr=function(e,t,r,n){var a=r.havingBaseStyle(t),i=Ke.makeSpan(n.concat(a.sizingClasses(r)),[e],r),o=a.sizeMultiplier/r.sizeMultiplier;return i.height*=o,i.depth*=o,i.maxFontSize=a.sizeMultiplier,i},cr=function(e,t,r){var n=t.havingBaseStyle(r),a=(1-t.sizeMultiplier/n.sizeMultiplier)*t.fontMetrics().axisHeight;e.classes.push("delimcenter"),e.style.top=F(a),e.height-=a,e.depth+=a},mr=function(e,t,r,n,a,i){var o=function(e,t,r,n){return Ke.makeSymbol(e,"Size"+t+"-Regular",r,n)}(e,t,a,n),s=hr(Ke.makeSpan(["delimsizing","size"+t],[o],n),x.TEXT,n,i);return r&&cr(s,n,x.TEXT),s},ur=function(e,t,r){var n;return n="Size1-Regular"===t?"delim-size1":"delim-size4",{type:"elem",elem:Ke.makeSpan(["delimsizinginner",n],[Ke.makeSpan([],[Ke.makeSymbol(e,t,r)])])}},pr=function(e,t,r){var n=T["Size4-Regular"][e.charCodeAt(0)]?T["Size4-Regular"][e.charCodeAt(0)][4]:T["Size1-Regular"][e.charCodeAt(0)][4],a=new J("inner",function(e,t){switch(e){case"\u239c":return"M291 0 H417 V"+t+" H291z M291 0 H417 V"+t+" H291z";case"\u2223":return"M145 0 H188 V"+t+" H145z M145 0 H188 V"+t+" H145z";case"\u2225":return"M145 0 H188 V"+t+" H145z M145 0 H188 V"+t+" H145zM367 0 H410 V"+t+" H367z M367 0 H410 V"+t+" H367z";case"\u239f":return"M457 0 H583 V"+t+" H457z M457 0 H583 V"+t+" H457z";case"\u23a2":return"M319 0 H403 V"+t+" H319z M319 0 H403 V"+t+" H319z";case"\u23a5":return"M263 0 H347 V"+t+" H263z M263 0 H347 V"+t+" H263z";case"\u23aa":return"M384 0 H504 V"+t+" H384z M384 0 H504 V"+t+" H384z";case"\u23d0":return"M312 0 H355 V"+t+" H312z M312 0 H355 V"+t+" H312z";case"\u2016":return"M257 0 H300 V"+t+" H257z M257 0 H300 V"+t+" H257zM478 0 H521 V"+t+" H478z M478 0 H521 V"+t+" H478z";default:return""}}(e,Math.round(1e3*t))),i=new K([a],{width:F(n),height:F(t),style:"width:"+F(n),viewBox:"0 0 "+1e3*n+" "+Math.round(1e3*t),preserveAspectRatio:"xMinYMin"}),o=Ke.makeSvgSpan([],[i],r);return o.height=t,o.style.height=F(t),o.style.width=F(n),{type:"elem",elem:o}},dr={type:"kern",size:-.008},fr=["|","\\lvert","\\rvert","\\vert"],gr=["\\|","\\lVert","\\rVert","\\Vert"],vr=function(e,t,r,n,a,i){var o,s,h,c,m="",u=0;o=h=c=e,s=null;var p="Size1-Regular";"\\uparrow"===e?h=c="\u23d0":"\\Uparrow"===e?h=c="\u2016":"\\downarrow"===e?o=h="\u23d0":"\\Downarrow"===e?o=h="\u2016":"\\updownarrow"===e?(o="\\uparrow",h="\u23d0",c="\\downarrow"):"\\Updownarrow"===e?(o="\\Uparrow",h="\u2016",c="\\Downarrow"):l.contains(fr,e)?(h="\u2223",m="vert",u=333):l.contains(gr,e)?(h="\u2225",m="doublevert",u=556):"["===e||"\\lbrack"===e?(o="\u23a1",h="\u23a2",c="\u23a3",p="Size4-Regular",m="lbrack",u=667):"]"===e||"\\rbrack"===e?(o="\u23a4",h="\u23a5",c="\u23a6",p="Size4-Regular",m="rbrack",u=667):"\\lfloor"===e||"\u230a"===e?(h=o="\u23a2",c="\u23a3",p="Size4-Regular",m="lfloor",u=667):"\\lceil"===e||"\u2308"===e?(o="\u23a1",h=c="\u23a2",p="Size4-Regular",m="lceil",u=667):"\\rfloor"===e||"\u230b"===e?(h=o="\u23a5",c="\u23a6",p="Size4-Regular",m="rfloor",u=667):"\\rceil"===e||"\u2309"===e?(o="\u23a4",h=c="\u23a5",p="Size4-Regular",m="rceil",u=667):"("===e||"\\lparen"===e?(o="\u239b",h="\u239c",c="\u239d",p="Size4-Regular",m="lparen",u=875):")"===e||"\\rparen"===e?(o="\u239e",h="\u239f",c="\u23a0",p="Size4-Regular",m="rparen",u=875):"\\{"===e||"\\lbrace"===e?(o="\u23a7",s="\u23a8",c="\u23a9",h="\u23aa",p="Size4-Regular"):"\\}"===e||"\\rbrace"===e?(o="\u23ab",s="\u23ac",c="\u23ad",h="\u23aa",p="Size4-Regular"):"\\lgroup"===e||"\u27ee"===e?(o="\u23a7",c="\u23a9",h="\u23aa",p="Size4-Regular"):"\\rgroup"===e||"\u27ef"===e?(o="\u23ab",c="\u23ad",h="\u23aa",p="Size4-Regular"):"\\lmoustache"===e||"\u23b0"===e?(o="\u23a7",c="\u23ad",h="\u23aa",p="Size4-Regular"):"\\rmoustache"!==e&&"\u23b1"!==e||(o="\u23ab",c="\u23a9",h="\u23aa",p="Size4-Regular");var d=lr(o,p,a),f=d.height+d.depth,g=lr(h,p,a),v=g.height+g.depth,b=lr(c,p,a),y=b.height+b.depth,w=0,k=1;if(null!==s){var S=lr(s,p,a);w=S.height+S.depth,k=2}var M=f+y+w,z=M+Math.max(0,Math.ceil((t-M)/(k*v)))*k*v,A=n.fontMetrics().axisHeight;r&&(A*=n.sizeMultiplier);var T=z/2-A,B=[];if(m.length>0){var C=z-f-y,N=Math.round(1e3*z),q=function(e,t){switch(e){case"lbrack":return"M403 1759 V84 H666 V0 H319 V1759 v"+t+" v1759 h347 v-84\nH403z M403 1759 V0 H319 V1759 v"+t+" v1759 h84z";case"rbrack":return"M347 1759 V0 H0 V84 H263 V1759 v"+t+" v1759 H0 v84 H347z\nM347 1759 V0 H263 V1759 v"+t+" v1759 h84z";case"vert":return"M145 15 v585 v"+t+" v585 c2.667,10,9.667,15,21,15\nc10,0,16.667,-5,20,-15 v-585 v"+-t+" v-585 c-2.667,-10,-9.667,-15,-21,-15\nc-10,0,-16.667,5,-20,15z M188 15 H145 v585 v"+t+" v585 h43z";case"doublevert":return"M145 15 v585 v"+t+" v585 c2.667,10,9.667,15,21,15\nc10,0,16.667,-5,20,-15 v-585 v"+-t+" v-585 c-2.667,-10,-9.667,-15,-21,-15\nc-10,0,-16.667,5,-20,15z M188 15 H145 v585 v"+t+" v585 h43z\nM367 15 v585 v"+t+" v585 c2.667,10,9.667,15,21,15\nc10,0,16.667,-5,20,-15 v-585 v"+-t+" v-585 c-2.667,-10,-9.667,-15,-21,-15\nc-10,0,-16.667,5,-20,15z M410 15 H367 v585 v"+t+" v585 h43z";case"lfloor":return"M319 602 V0 H403 V602 v"+t+" v1715 h263 v84 H319z\nMM319 602 V0 H403 V602 v"+t+" v1715 H319z";case"rfloor":return"M319 602 V0 H403 V602 v"+t+" v1799 H0 v-84 H319z\nMM319 602 V0 H403 V602 v"+t+" v1715 H319z";case"lceil":return"M403 1759 V84 H666 V0 H319 V1759 v"+t+" v602 h84z\nM403 1759 V0 H319 V1759 v"+t+" v602 h84z";case"rceil":return"M347 1759 V0 H0 V84 H263 V1759 v"+t+" v602 h84z\nM347 1759 V0 h-84 V1759 v"+t+" v602 h84z";case"lparen":return"M863,9c0,-2,-2,-5,-6,-9c0,0,-17,0,-17,0c-12.7,0,-19.3,0.3,-20,1\nc-5.3,5.3,-10.3,11,-15,17c-242.7,294.7,-395.3,682,-458,1162c-21.3,163.3,-33.3,349,\n-36,557 l0,"+(t+84)+"c0.2,6,0,26,0,60c2,159.3,10,310.7,24,454c53.3,528,210,\n949.7,470,1265c4.7,6,9.7,11.7,15,17c0.7,0.7,7,1,19,1c0,0,18,0,18,0c4,-4,6,-7,6,-9\nc0,-2.7,-3.3,-8.7,-10,-18c-135.3,-192.7,-235.5,-414.3,-300.5,-665c-65,-250.7,-102.5,\n-544.7,-112.5,-882c-2,-104,-3,-167,-3,-189\nl0,-"+(t+92)+"c0,-162.7,5.7,-314,17,-454c20.7,-272,63.7,-513,129,-723c65.3,\n-210,155.3,-396.3,270,-559c6.7,-9.3,10,-15.3,10,-18z";case"rparen":return"M76,0c-16.7,0,-25,3,-25,9c0,2,2,6.3,6,13c21.3,28.7,42.3,60.3,\n63,95c96.7,156.7,172.8,332.5,228.5,527.5c55.7,195,92.8,416.5,111.5,664.5\nc11.3,139.3,17,290.7,17,454c0,28,1.7,43,3.3,45l0,"+(t+9)+"\nc-3,4,-3.3,16.7,-3.3,38c0,162,-5.7,313.7,-17,455c-18.7,248,-55.8,469.3,-111.5,664\nc-55.7,194.7,-131.8,370.3,-228.5,527c-20.7,34.7,-41.7,66.3,-63,95c-2,3.3,-4,7,-6,11\nc0,7.3,5.7,11,17,11c0,0,11,0,11,0c9.3,0,14.3,-0.3,15,-1c5.3,-5.3,10.3,-11,15,-17\nc242.7,-294.7,395.3,-681.7,458,-1161c21.3,-164.7,33.3,-350.7,36,-558\nl0,-"+(t+144)+"c-2,-159.3,-10,-310.7,-24,-454c-53.3,-528,-210,-949.7,\n-470,-1265c-4.7,-6,-9.7,-11.7,-15,-17c-0.7,-0.7,-6.7,-1,-18,-1z";default:throw new Error("Unknown stretchy delimiter.")}}(m,Math.round(1e3*C)),I=new J(m,q),R=(u/1e3).toFixed(3)+"em",H=(N/1e3).toFixed(3)+"em",O=new K([I],{width:R,height:H,viewBox:"0 0 "+u+" "+N}),E=Ke.makeSvgSpan([],[O],n);E.height=N/1e3,E.style.width=R,E.style.height=H,B.push({type:"elem",elem:E})}else{if(B.push(ur(c,p,a)),B.push(dr),null===s){var L=z-f-y+.016;B.push(pr(h,L,n))}else{var D=(z-f-y-w)/2+.016;B.push(pr(h,D,n)),B.push(dr),B.push(ur(s,p,a)),B.push(dr),B.push(pr(h,D,n))}B.push(dr),B.push(ur(o,p,a))}var V=n.havingBaseStyle(x.TEXT),P=Ke.makeVList({positionType:"bottom",positionData:T,children:B},V);return hr(Ke.makeSpan(["delimsizing","mult"],[P],V),x.TEXT,n,i)},br=.08,yr=function(e,t,r,n,a){var i=function(e,t,r){t*=1e3;var n="";switch(e){case"sqrtMain":n=function(e,t){return"M95,"+(622+e+t)+"\nc-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14\nc0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54\nc44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10\ns173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429\nc69,-144,104.5,-217.7,106.5,-221\nl"+e/2.075+" -"+e+"\nc5.3,-9.3,12,-14,20,-14\nH400000v"+(40+e)+"H845.2724\ns-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7\nc-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z\nM"+(834+e)+" "+t+"h400000v"+(40+e)+"h-400000z"}(t,M);break;case"sqrtSize1":n=function(e,t){return"M263,"+(601+e+t)+"c0.7,0,18,39.7,52,119\nc34,79.3,68.167,158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120\nc340,-704.7,510.7,-1060.3,512,-1067\nl"+e/2.084+" -"+e+"\nc4.7,-7.3,11,-11,19,-11\nH40000v"+(40+e)+"H1012.3\ns-271.3,567,-271.3,567c-38.7,80.7,-84,175,-136,283c-52,108,-89.167,185.3,-111.5,232\nc-22.3,46.7,-33.8,70.3,-34.5,71c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1\ns-109,-253,-109,-253c-72.7,-168,-109.3,-252,-110,-252c-10.7,8,-22,16.7,-34,26\nc-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26s76,-59,76,-59s76,-60,76,-60z\nM"+(1001+e)+" "+t+"h400000v"+(40+e)+"h-400000z"}(t,M);break;case"sqrtSize2":n=function(e,t){return"M983 "+(10+e+t)+"\nl"+e/3.13+" -"+e+"\nc4,-6.7,10,-10,18,-10 H400000v"+(40+e)+"\nH1013.1s-83.4,268,-264.1,840c-180.7,572,-277,876.3,-289,913c-4.7,4.7,-12.7,7,-24,7\ns-12,0,-12,0c-1.3,-3.3,-3.7,-11.7,-7,-25c-35.3,-125.3,-106.7,-373.3,-214,-744\nc-10,12,-21,25,-33,39s-32,39,-32,39c-6,-5.3,-15,-14,-27,-26s25,-30,25,-30\nc26.7,-32.7,52,-63,76,-91s52,-60,52,-60s208,722,208,722\nc56,-175.3,126.3,-397.3,211,-666c84.7,-268.7,153.8,-488.2,207.5,-658.5\nc53.7,-170.3,84.5,-266.8,92.5,-289.5z\nM"+(1001+e)+" "+t+"h400000v"+(40+e)+"h-400000z"}(t,M);break;case"sqrtSize3":n=function(e,t){return"M424,"+(2398+e+t)+"\nc-1.3,-0.7,-38.5,-172,-111.5,-514c-73,-342,-109.8,-513.3,-110.5,-514\nc0,-2,-10.7,14.3,-32,49c-4.7,7.3,-9.8,15.7,-15.5,25c-5.7,9.3,-9.8,16,-12.5,20\ns-5,7,-5,7c-4,-3.3,-8.3,-7.7,-13,-13s-13,-13,-13,-13s76,-122,76,-122s77,-121,77,-121\ns209,968,209,968c0,-2,84.7,-361.7,254,-1079c169.3,-717.3,254.7,-1077.7,256,-1081\nl"+e/4.223+" -"+e+"c4,-6.7,10,-10,18,-10 H400000\nv"+(40+e)+"H1014.6\ns-87.3,378.7,-272.6,1166c-185.3,787.3,-279.3,1182.3,-282,1185\nc-2,6,-10,9,-24,9\nc-8,0,-12,-0.7,-12,-2z M"+(1001+e)+" "+t+"\nh400000v"+(40+e)+"h-400000z"}(t,M);break;case"sqrtSize4":n=function(e,t){return"M473,"+(2713+e+t)+"\nc339.3,-1799.3,509.3,-2700,510,-2702 l"+e/5.298+" -"+e+"\nc3.3,-7.3,9.3,-11,18,-11 H400000v"+(40+e)+"H1017.7\ns-90.5,478,-276.2,1466c-185.7,988,-279.5,1483,-281.5,1485c-2,6,-10,9,-24,9\nc-8,0,-12,-0.7,-12,-2c0,-1.3,-5.3,-32,-16,-92c-50.7,-293.3,-119.7,-693.3,-207,-1200\nc0,-1.3,-5.3,8.7,-16,30c-10.7,21.3,-21.3,42.7,-32,64s-16,33,-16,33s-26,-26,-26,-26\ns76,-153,76,-153s77,-151,77,-151c0.7,0.7,35.7,202,105,604c67.3,400.7,102,602.7,104,\n606zM"+(1001+e)+" "+t+"h400000v"+(40+e)+"H1017.7z"}(t,M);break;case"sqrtTall":n=function(e,t,r){return"M702 "+(e+t)+"H400000"+(40+e)+"\nH742v"+(r-54-t-e)+"l-4 4-4 4c-.667.7 -2 1.5-4 2.5s-4.167 1.833-6.5 2.5-5.5 1-9.5 1\nh-12l-28-84c-16.667-52-96.667 -294.333-240-727l-212 -643 -85 170\nc-4-3.333-8.333-7.667-13 -13l-13-13l77-155 77-156c66 199.333 139 419.667\n219 661 l218 661zM702 "+t+"H400000v"+(40+e)+"H742z"}(t,M,r)}return n}(e,n,r),o=new J(e,i),s=new K([o],{width:"400em",height:F(t),viewBox:"0 0 400000 "+r,preserveAspectRatio:"xMinYMin slice"});return Ke.makeSvgSpan(["hide-tail"],[s],a)},xr=["(","\\lparen",")","\\rparen","[","\\lbrack","]","\\rbrack","\\{","\\lbrace","\\}","\\rbrace","\\lfloor","\\rfloor","\u230a","\u230b","\\lceil","\\rceil","\u2308","\u2309","\\surd"],wr=["\\uparrow","\\downarrow","\\updownarrow","\\Uparrow","\\Downarrow","\\Updownarrow","|","\\|","\\vert","\\Vert","\\lvert","\\rvert","\\lVert","\\rVert","\\lgroup","\\rgroup","\u27ee","\u27ef","\\lmoustache","\\rmoustache","\u23b0","\u23b1"],kr=["<",">","\\langle","\\rangle","/","\\backslash","\\lt","\\gt"],Sr=[0,1.2,1.8,2.4,3],Mr=[{type:"small",style:x.SCRIPTSCRIPT},{type:"small",style:x.SCRIPT},{type:"small",style:x.TEXT},{type:"large",size:1},{type:"large",size:2},{type:"large",size:3},{type:"large",size:4}],zr=[{type:"small",style:x.SCRIPTSCRIPT},{type:"small",style:x.SCRIPT},{type:"small",style:x.TEXT},{type:"stack"}],Ar=[{type:"small",style:x.SCRIPTSCRIPT},{type:"small",style:x.SCRIPT},{type:"small",style:x.TEXT},{type:"large",size:1},{type:"large",size:2},{type:"large",size:3},{type:"large",size:4},{type:"stack"}],Tr=function(e){if("small"===e.type)return"Main-Regular";if("large"===e.type)return"Size"+e.size+"-Regular";if("stack"===e.type)return"Size4-Regular";throw new Error("Add support for delim type '"+e.type+"' here.")},Br=function(e,t,r,n){for(var a=Math.min(2,3-n.style.size);at)return r[a]}return r[r.length-1]},Cr=function(e,t,r,n,a,i){var o;"<"===e||"\\lt"===e||"\u27e8"===e?e="\\langle":">"!==e&&"\\gt"!==e&&"\u27e9"!==e||(e="\\rangle"),o=l.contains(kr,e)?Mr:l.contains(xr,e)?Ar:zr;var s=Br(e,t,o,n);return"small"===s.type?function(e,t,r,n,a,i){var o=Ke.makeSymbol(e,"Main-Regular",a,n),s=hr(o,t,n,i);return r&&cr(s,n,t),s}(e,s.style,r,n,a,i):"large"===s.type?mr(e,s.size,r,n,a,i):vr(e,t,r,n,a,i)},Nr={sqrtImage:function(e,t){var r,n,a=t.havingBaseSizing(),i=Br("\\surd",e*a.sizeMultiplier,Ar,a),o=a.sizeMultiplier,s=Math.max(0,t.minRuleThickness-t.fontMetrics().sqrtRuleThickness),l=0,h=0,c=0;return"small"===i.type?(e<1?o=1:e<1.4&&(o=.7),h=(1+s)/o,(r=yr("sqrtMain",l=(1+s+br)/o,c=1e3+1e3*s+80,s,t)).style.minWidth="0.853em",n=.833/o):"large"===i.type?(c=1080*Sr[i.size],h=(Sr[i.size]+s)/o,l=(Sr[i.size]+s+br)/o,(r=yr("sqrtSize"+i.size,l,c,s,t)).style.minWidth="1.02em",n=1/o):(l=e+s+br,h=e+s,c=Math.floor(1e3*e+s)+80,(r=yr("sqrtTall",l,c,s,t)).style.minWidth="0.742em",n=1.056),r.height=h,r.style.height=F(l),{span:r,advanceWidth:n,ruleWidth:(t.fontMetrics().sqrtRuleThickness+s)*o}},sizedDelim:function(e,t,r,a,i){if("<"===e||"\\lt"===e||"\u27e8"===e?e="\\langle":">"!==e&&"\\gt"!==e&&"\u27e9"!==e||(e="\\rangle"),l.contains(xr,e)||l.contains(kr,e))return mr(e,t,!1,r,a,i);if(l.contains(wr,e))return vr(e,Sr[t],!1,r,a,i);throw new n("Illegal delimiter: '"+e+"'")},sizeToMaxHeight:Sr,customSizedDelim:Cr,leftRightDelim:function(e,t,r,n,a,i){var o=n.fontMetrics().axisHeight*n.sizeMultiplier,s=5/n.fontMetrics().ptPerEm,l=Math.max(t-o,r+o),h=Math.max(l/500*901,2*l-s);return Cr(e,h,!0,n,a,i)}},qr={"\\bigl":{mclass:"mopen",size:1},"\\Bigl":{mclass:"mopen",size:2},"\\biggl":{mclass:"mopen",size:3},"\\Biggl":{mclass:"mopen",size:4},"\\bigr":{mclass:"mclose",size:1},"\\Bigr":{mclass:"mclose",size:2},"\\biggr":{mclass:"mclose",size:3},"\\Biggr":{mclass:"mclose",size:4},"\\bigm":{mclass:"mrel",size:1},"\\Bigm":{mclass:"mrel",size:2},"\\biggm":{mclass:"mrel",size:3},"\\Biggm":{mclass:"mrel",size:4},"\\big":{mclass:"mord",size:1},"\\Big":{mclass:"mord",size:2},"\\bigg":{mclass:"mord",size:3},"\\Bigg":{mclass:"mord",size:4}},Ir=["(","\\lparen",")","\\rparen","[","\\lbrack","]","\\rbrack","\\{","\\lbrace","\\}","\\rbrace","\\lfloor","\\rfloor","\u230a","\u230b","\\lceil","\\rceil","\u2308","\u2309","<",">","\\langle","\u27e8","\\rangle","\u27e9","\\lt","\\gt","\\lvert","\\rvert","\\lVert","\\rVert","\\lgroup","\\rgroup","\u27ee","\u27ef","\\lmoustache","\\rmoustache","\u23b0","\u23b1","/","\\backslash","|","\\vert","\\|","\\Vert","\\uparrow","\\Uparrow","\\downarrow","\\Downarrow","\\updownarrow","\\Updownarrow","."];function Rr(e,t){var r=Xt(e);if(r&&l.contains(Ir,r.text))return r;throw new n(r?"Invalid delimiter '"+r.text+"' after '"+t.funcName+"'":"Invalid delimiter type '"+e.type+"'",e)}function Hr(e){if(!e.body)throw new Error("Bug: The leftright ParseNode wasn't fully parsed.")}ot({type:"delimsizing",names:["\\bigl","\\Bigl","\\biggl","\\Biggl","\\bigr","\\Bigr","\\biggr","\\Biggr","\\bigm","\\Bigm","\\biggm","\\Biggm","\\big","\\Big","\\bigg","\\Bigg"],props:{numArgs:1,argTypes:["primitive"]},handler:function(e,t){var r=Rr(t[0],e);return{type:"delimsizing",mode:e.parser.mode,size:qr[e.funcName].size,mclass:qr[e.funcName].mclass,delim:r.text}},htmlBuilder:function(e,t){return"."===e.delim?Ke.makeSpan([e.mclass]):Nr.sizedDelim(e.delim,e.size,t,e.mode,[e.mclass])},mathmlBuilder:function(e){var t=[];"."!==e.delim&&t.push(Bt(e.delim,e.mode));var r=new Tt.MathNode("mo",t);"mopen"===e.mclass||"mclose"===e.mclass?r.setAttribute("fence","true"):r.setAttribute("fence","false"),r.setAttribute("stretchy","true");var n=F(Nr.sizeToMaxHeight[e.size]);return r.setAttribute("minsize",n),r.setAttribute("maxsize",n),r}}),ot({type:"leftright-right",names:["\\right"],props:{numArgs:1,primitive:!0},handler:function(e,t){var r=e.parser.gullet.macros.get("\\current@color");if(r&&"string"!=typeof r)throw new n("\\current@color set to non-string in \\right");return{type:"leftright-right",mode:e.parser.mode,delim:Rr(t[0],e).text,color:r}}}),ot({type:"leftright",names:["\\left"],props:{numArgs:1,primitive:!0},handler:function(e,t){var r=Rr(t[0],e),n=e.parser;++n.leftrightDepth;var a=n.parseExpression(!1);--n.leftrightDepth,n.expect("\\right",!1);var i=Ut(n.parseFunction(),"leftright-right");return{type:"leftright",mode:n.mode,body:a,left:r.text,right:i.delim,rightColor:i.color}},htmlBuilder:function(e,t){Hr(e);for(var r,n,a=ft(e.body,t,!0,["mopen","mclose"]),i=0,o=0,s=!1,l=0;l-1?"mpadded":"menclose",[Rt(e.body,t)]);switch(e.label){case"\\cancel":n.setAttribute("notation","updiagonalstrike");break;case"\\bcancel":n.setAttribute("notation","downdiagonalstrike");break;case"\\phase":n.setAttribute("notation","phasorangle");break;case"\\sout":n.setAttribute("notation","horizontalstrike");break;case"\\fbox":n.setAttribute("notation","box");break;case"\\angl":n.setAttribute("notation","actuarial");break;case"\\fcolorbox":case"\\colorbox":if(r=t.fontMetrics().fboxsep*t.fontMetrics().ptPerEm,n.setAttribute("width","+"+2*r+"pt"),n.setAttribute("height","+"+2*r+"pt"),n.setAttribute("lspace",r+"pt"),n.setAttribute("voffset",r+"pt"),"\\fcolorbox"===e.label){var a=Math.max(t.fontMetrics().fboxrule,t.minRuleThickness);n.setAttribute("style","border: "+a+"em solid "+String(e.borderColor))}break;case"\\xcancel":n.setAttribute("notation","updiagonalstrike downdiagonalstrike")}return e.backgroundColor&&n.setAttribute("mathbackground",e.backgroundColor),n};ot({type:"enclose",names:["\\colorbox"],props:{numArgs:2,allowedInText:!0,argTypes:["color","text"]},handler:function(e,t,r){var n=e.parser,a=e.funcName,i=Ut(t[0],"color-token").color,o=t[1];return{type:"enclose",mode:n.mode,label:a,backgroundColor:i,body:o}},htmlBuilder:Or,mathmlBuilder:Er}),ot({type:"enclose",names:["\\fcolorbox"],props:{numArgs:3,allowedInText:!0,argTypes:["color","color","text"]},handler:function(e,t,r){var n=e.parser,a=e.funcName,i=Ut(t[0],"color-token").color,o=Ut(t[1],"color-token").color,s=t[2];return{type:"enclose",mode:n.mode,label:a,backgroundColor:o,borderColor:i,body:s}},htmlBuilder:Or,mathmlBuilder:Er}),ot({type:"enclose",names:["\\fbox"],props:{numArgs:1,argTypes:["hbox"],allowedInText:!0},handler:function(e,t){return{type:"enclose",mode:e.parser.mode,label:"\\fbox",body:t[0]}}}),ot({type:"enclose",names:["\\cancel","\\bcancel","\\xcancel","\\sout","\\phase"],props:{numArgs:1},handler:function(e,t){var r=e.parser,n=e.funcName,a=t[0];return{type:"enclose",mode:r.mode,label:n,body:a}},htmlBuilder:Or,mathmlBuilder:Er}),ot({type:"enclose",names:["\\angl"],props:{numArgs:1,argTypes:["hbox"],allowedInText:!1},handler:function(e,t){return{type:"enclose",mode:e.parser.mode,label:"\\angl",body:t[0]}}});var Lr={};function Dr(e){for(var t=e.type,r=e.names,n=e.props,a=e.handler,i=e.htmlBuilder,o=e.mathmlBuilder,s={type:t,numArgs:n.numArgs||0,allowedInText:!1,numOptionalArgs:0,handler:a},l=0;l1||!m)&&g.pop(),b.length0&&(y+=.25),c.push({pos:y,isDashed:e[t]})}for(w(o[0]),r=0;r0&&(M<(B+=b)&&(M=B),B=0),e.addJot&&(M+=f),z.height=S,z.depth=M,y+=S,z.pos=y,y+=M+B,h[r]=z,w(o[r+1])}var C,N,q=y/2+t.fontMetrics().axisHeight,I=e.cols||[],R=[],H=[];if(e.tags&&e.tags.some((function(e){return e})))for(r=0;r=s)){var W=void 0;(a>0||e.hskipBeforeAndAfter)&&0!==(W=l.deflt(V.pregap,p))&&((C=Ke.makeSpan(["arraycolsep"],[])).style.width=F(W),R.push(C));var _=[];for(r=0;r0){for(var K=Ke.makeLineSpan("hline",t,m),J=Ke.makeLineSpan("hdashline",t,m),Q=[{type:"elem",elem:h,shift:0}];c.length>0;){var ee=c.pop(),te=ee.pos-q;ee.isDashed?Q.push({type:"elem",elem:J,shift:te}):Q.push({type:"elem",elem:K,shift:te})}h=Ke.makeVList({positionType:"individualShift",children:Q},t)}if(0===H.length)return Ke.makeSpan(["mord"],[h],t);var re=Ke.makeVList({positionType:"individualShift",children:H},t);return re=Ke.makeSpan(["tag"],[re],t),Ke.makeFragment([h,re])},$r={c:"center ",l:"left ",r:"right "},Zr=function(e,t){for(var r=[],n=new Tt.MathNode("mtd",[],["mtr-glue"]),a=new Tt.MathNode("mtd",[],["mml-eqn-num"]),i=0;i0){var p=e.cols,d="",f=!1,g=0,v=p.length;"separator"===p[0].type&&(m+="top ",g=1),"separator"===p[p.length-1].type&&(m+="bottom ",v-=1);for(var b=g;b0?"left ":"",m+=S[S.length-1].length>0?"right ":"";for(var M=1;M-1?"alignat":"align",o="split"===e.envName,s=Wr(e.parser,{cols:a,addJot:!0,autoTag:o?void 0:Xr(e.envName),emptySingleRow:!0,colSeparationType:i,maxNumCols:o?2:void 0,leqno:e.parser.settings.leqno},"display"),l=0,h={type:"ordgroup",mode:e.mode,body:[]};if(t[0]&&"ordgroup"===t[0].type){for(var c="",m=0;m0&&u&&(f=1),a[p]={type:"align",align:d,pregap:f,postgap:0}}return s.colSeparationType=u?"align":"alignat",s};Dr({type:"array",names:["array","darray"],props:{numArgs:1},handler:function(e,t){var r=(Xt(t[0])?[t[0]]:Ut(t[0],"ordgroup").body).map((function(e){var t=Yt(e).text;if(-1!=="lcr".indexOf(t))return{type:"align",align:t};if("|"===t)return{type:"separator",separator:"|"};if(":"===t)return{type:"separator",separator:":"};throw new n("Unknown column alignment: "+t,e)})),a={cols:r,hskipBeforeAndAfter:!0,maxNumCols:r.length};return Wr(e.parser,a,_r(e.envName))},htmlBuilder:jr,mathmlBuilder:Zr}),Dr({type:"array",names:["matrix","pmatrix","bmatrix","Bmatrix","vmatrix","Vmatrix","matrix*","pmatrix*","bmatrix*","Bmatrix*","vmatrix*","Vmatrix*"],props:{numArgs:0},handler:function(e){var t={matrix:null,pmatrix:["(",")"],bmatrix:["[","]"],Bmatrix:["\\{","\\}"],vmatrix:["|","|"],Vmatrix:["\\Vert","\\Vert"]}[e.envName.replace("*","")],r="c",a={hskipBeforeAndAfter:!1,cols:[{type:"align",align:r}]};if("*"===e.envName.charAt(e.envName.length-1)){var i=e.parser;if(i.consumeSpaces(),"["===i.fetch().text){if(i.consume(),i.consumeSpaces(),r=i.fetch().text,-1==="lcr".indexOf(r))throw new n("Expected l or c or r",i.nextToken);i.consume(),i.consumeSpaces(),i.expect("]"),i.consume(),a.cols=[{type:"align",align:r}]}}var o=Wr(e.parser,a,_r(e.envName)),s=Math.max.apply(Math,[0].concat(o.body.map((function(e){return e.length}))));return o.cols=new Array(s).fill({type:"align",align:r}),t?{type:"leftright",mode:e.mode,body:[o],left:t[0],right:t[1],rightColor:void 0}:o},htmlBuilder:jr,mathmlBuilder:Zr}),Dr({type:"array",names:["smallmatrix"],props:{numArgs:0},handler:function(e){var t=Wr(e.parser,{arraystretch:.5},"script");return t.colSeparationType="small",t},htmlBuilder:jr,mathmlBuilder:Zr}),Dr({type:"array",names:["subarray"],props:{numArgs:1},handler:function(e,t){var r=(Xt(t[0])?[t[0]]:Ut(t[0],"ordgroup").body).map((function(e){var t=Yt(e).text;if(-1!=="lc".indexOf(t))return{type:"align",align:t};throw new n("Unknown column alignment: "+t,e)}));if(r.length>1)throw new n("{subarray} can contain only one column");var a={cols:r,hskipBeforeAndAfter:!1,arraystretch:.5};if((a=Wr(e.parser,a,"script")).body.length>0&&a.body[0].length>1)throw new n("{subarray} can contain only one column");return a},htmlBuilder:jr,mathmlBuilder:Zr}),Dr({type:"array",names:["cases","dcases","rcases","drcases"],props:{numArgs:0},handler:function(e){var t=Wr(e.parser,{arraystretch:1.2,cols:[{type:"align",align:"l",pregap:0,postgap:1},{type:"align",align:"l",pregap:0,postgap:0}]},_r(e.envName));return{type:"leftright",mode:e.mode,body:[t],left:e.envName.indexOf("r")>-1?".":"\\{",right:e.envName.indexOf("r")>-1?"\\}":".",rightColor:void 0}},htmlBuilder:jr,mathmlBuilder:Zr}),Dr({type:"array",names:["align","align*","aligned","split"],props:{numArgs:0},handler:Kr,htmlBuilder:jr,mathmlBuilder:Zr}),Dr({type:"array",names:["gathered","gather","gather*"],props:{numArgs:0},handler:function(e){l.contains(["gather","gather*"],e.envName)&&Yr(e);var t={cols:[{type:"align",align:"c"}],addJot:!0,colSeparationType:"gather",autoTag:Xr(e.envName),emptySingleRow:!0,leqno:e.parser.settings.leqno};return Wr(e.parser,t,"display")},htmlBuilder:jr,mathmlBuilder:Zr}),Dr({type:"array",names:["alignat","alignat*","alignedat"],props:{numArgs:1},handler:Kr,htmlBuilder:jr,mathmlBuilder:Zr}),Dr({type:"array",names:["equation","equation*"],props:{numArgs:0},handler:function(e){Yr(e);var t={autoTag:Xr(e.envName),emptySingleRow:!0,singleRow:!0,maxNumCols:1,leqno:e.parser.settings.leqno};return Wr(e.parser,t,"display")},htmlBuilder:jr,mathmlBuilder:Zr}),Dr({type:"array",names:["CD"],props:{numArgs:0},handler:function(e){return Yr(e),function(e){var t=[];for(e.gullet.beginGroup(),e.gullet.macros.set("\\cr","\\\\\\relax"),e.gullet.beginGroup();;){t.push(e.parseExpression(!1,"\\\\")),e.gullet.endGroup(),e.gullet.beginGroup();var r=e.fetch().text;if("&"!==r&&"\\\\"!==r){if("\\end"===r){0===t[t.length-1].length&&t.pop();break}throw new n("Expected \\\\ or \\cr or \\end",e.nextToken)}e.consume()}for(var a,i,o=[],s=[o],l=0;l-1);else{if(!("<>AV".indexOf(u)>-1))throw new n('Expected one of "<>AV=|." after @',h[m]);for(var d=0;d<2;d++){for(var f=!0,g=m+1;g=x.SCRIPT.id?r.text():x.DISPLAY:"text"===e&&r.size===x.DISPLAY.size?r=x.TEXT:"script"===e?r=x.SCRIPT:"scriptscript"===e&&(r=x.SCRIPTSCRIPT),r},nn=function(e,t){var r,n=rn(e.size,t.style),a=n.fracNum(),i=n.fracDen();r=t.havingStyle(a);var o=wt(e.numer,r,t);if(e.continued){var s=8.5/t.fontMetrics().ptPerEm,l=3.5/t.fontMetrics().ptPerEm;o.height=o.height0?3*m:7*m,d=t.fontMetrics().denom1):(c>0?(u=t.fontMetrics().num2,p=m):(u=t.fontMetrics().num3,p=3*m),d=t.fontMetrics().denom2),h){var w=t.fontMetrics().axisHeight;u-o.depth-(w+.5*c)0&&(t="."===(t=e)?null:t),t};ot({type:"genfrac",names:["\\genfrac"],props:{numArgs:6,allowedInArgument:!0,argTypes:["math","math","size","text","math","math"]},handler:function(e,t){var r,n=e.parser,a=t[4],i=t[5],o=lt(t[0]),s="atom"===o.type&&"open"===o.family?sn(o.text):null,l=lt(t[1]),h="atom"===l.type&&"close"===l.family?sn(l.text):null,c=Ut(t[2],"size"),m=null;r=!!c.isBlank||(m=c.value).number>0;var u="auto",p=t[3];if("ordgroup"===p.type){if(p.body.length>0){var d=Ut(p.body[0],"textord");u=on[Number(d.text)]}}else p=Ut(p,"textord"),u=on[Number(p.text)];return{type:"genfrac",mode:n.mode,numer:a,denom:i,continued:!1,hasBarLine:r,barSize:m,leftDelim:s,rightDelim:h,size:u}},htmlBuilder:nn,mathmlBuilder:an}),ot({type:"infix",names:["\\above"],props:{numArgs:1,argTypes:["size"],infix:!0},handler:function(e,t){var r=e.parser,n=(e.funcName,e.token);return{type:"infix",mode:r.mode,replaceWith:"\\\\abovefrac",size:Ut(t[0],"size").value,token:n}}}),ot({type:"genfrac",names:["\\\\abovefrac"],props:{numArgs:3,argTypes:["math","size","math"]},handler:function(e,t){var r=e.parser,n=(e.funcName,t[0]),a=function(e){if(!e)throw new Error("Expected non-null, but got "+String(e));return e}(Ut(t[1],"infix").size),i=t[2],o=a.number>0;return{type:"genfrac",mode:r.mode,numer:n,denom:i,continued:!1,hasBarLine:o,barSize:a,leftDelim:null,rightDelim:null,size:"auto"}},htmlBuilder:nn,mathmlBuilder:an});var ln=function(e,t){var r,n,a=t.style;"supsub"===e.type?(r=e.sup?wt(e.sup,t.havingStyle(a.sup()),t):wt(e.sub,t.havingStyle(a.sub()),t),n=Ut(e.base,"horizBrace")):n=Ut(e,"horizBrace");var i,o=wt(n.base,t.havingBaseStyle(x.DISPLAY)),s=Gt(n,t);if(n.isOver?(i=Ke.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:o},{type:"kern",size:.1},{type:"elem",elem:s}]},t)).children[0].children[0].children[1].classes.push("svg-align"):(i=Ke.makeVList({positionType:"bottom",positionData:o.depth+.1+s.height,children:[{type:"elem",elem:s},{type:"kern",size:.1},{type:"elem",elem:o}]},t)).children[0].children[0].children[0].classes.push("svg-align"),r){var l=Ke.makeSpan(["mord",n.isOver?"mover":"munder"],[i],t);i=n.isOver?Ke.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:l},{type:"kern",size:.2},{type:"elem",elem:r}]},t):Ke.makeVList({positionType:"bottom",positionData:l.depth+.2+r.height+r.depth,children:[{type:"elem",elem:r},{type:"kern",size:.2},{type:"elem",elem:l}]},t)}return Ke.makeSpan(["mord",n.isOver?"mover":"munder"],[i],t)};ot({type:"horizBrace",names:["\\overbrace","\\underbrace"],props:{numArgs:1},handler:function(e,t){var r=e.parser,n=e.funcName;return{type:"horizBrace",mode:r.mode,label:n,isOver:/^\\over/.test(n),base:t[0]}},htmlBuilder:ln,mathmlBuilder:function(e,t){var r=Ft(e.label);return new Tt.MathNode(e.isOver?"mover":"munder",[Rt(e.base,t),r])}}),ot({type:"href",names:["\\href"],props:{numArgs:2,argTypes:["url","original"],allowedInText:!0},handler:function(e,t){var r=e.parser,n=t[1],a=Ut(t[0],"url").url;return r.settings.isTrusted({command:"\\href",url:a})?{type:"href",mode:r.mode,href:a,body:ht(n)}:r.formatUnsupportedCmd("\\href")},htmlBuilder:function(e,t){var r=ft(e.body,t,!1);return Ke.makeAnchor(e.href,[],r,t)},mathmlBuilder:function(e,t){var r=It(e.body,t);return r instanceof zt||(r=new zt("mrow",[r])),r.setAttribute("href",e.href),r}}),ot({type:"href",names:["\\url"],props:{numArgs:1,argTypes:["url"],allowedInText:!0},handler:function(e,t){var r=e.parser,n=Ut(t[0],"url").url;if(!r.settings.isTrusted({command:"\\url",url:n}))return r.formatUnsupportedCmd("\\url");for(var a=[],i=0;i0&&(n=P(e.totalheight,t)-r);var a=0;e.width.number>0&&(a=P(e.width,t));var i={height:F(r+n)};a>0&&(i.width=F(a)),n>0&&(i.verticalAlign=F(-n));var o=new j(e.src,e.alt,i);return o.height=r,o.depth=n,o},mathmlBuilder:function(e,t){var r=new Tt.MathNode("mglyph",[]);r.setAttribute("alt",e.alt);var n=P(e.height,t),a=0;if(e.totalheight.number>0&&(a=P(e.totalheight,t)-n,r.setAttribute("valign",F(-a))),r.setAttribute("height",F(n+a)),e.width.number>0){var i=P(e.width,t);r.setAttribute("width",F(i))}return r.setAttribute("src",e.src),r}}),ot({type:"kern",names:["\\kern","\\mkern","\\hskip","\\mskip"],props:{numArgs:1,argTypes:["size"],primitive:!0,allowedInText:!0},handler:function(e,t){var r=e.parser,n=e.funcName,a=Ut(t[0],"size");if(r.settings.strict){var i="m"===n[1],o="mu"===a.value.unit;i?(o||r.settings.reportNonstrict("mathVsTextUnits","LaTeX's "+n+" supports only mu units, not "+a.value.unit+" units"),"math"!==r.mode&&r.settings.reportNonstrict("mathVsTextUnits","LaTeX's "+n+" works only in math mode")):o&&r.settings.reportNonstrict("mathVsTextUnits","LaTeX's "+n+" doesn't support mu units")}return{type:"kern",mode:r.mode,dimension:a.value}},htmlBuilder:function(e,t){return Ke.makeGlue(e.dimension,t)},mathmlBuilder:function(e,t){var r=P(e.dimension,t);return new Tt.SpaceNode(r)}}),ot({type:"lap",names:["\\mathllap","\\mathrlap","\\mathclap"],props:{numArgs:1,allowedInText:!0},handler:function(e,t){var r=e.parser,n=e.funcName,a=t[0];return{type:"lap",mode:r.mode,alignment:n.slice(5),body:a}},htmlBuilder:function(e,t){var r;"clap"===e.alignment?(r=Ke.makeSpan([],[wt(e.body,t)]),r=Ke.makeSpan(["inner"],[r],t)):r=Ke.makeSpan(["inner"],[wt(e.body,t)]);var n=Ke.makeSpan(["fix"],[]),a=Ke.makeSpan([e.alignment],[r,n],t),i=Ke.makeSpan(["strut"]);return i.style.height=F(a.height+a.depth),a.depth&&(i.style.verticalAlign=F(-a.depth)),a.children.unshift(i),a=Ke.makeSpan(["thinbox"],[a],t),Ke.makeSpan(["mord","vbox"],[a],t)},mathmlBuilder:function(e,t){var r=new Tt.MathNode("mpadded",[Rt(e.body,t)]);if("rlap"!==e.alignment){var n="llap"===e.alignment?"-1":"-0.5";r.setAttribute("lspace",n+"width")}return r.setAttribute("width","0px"),r}}),ot({type:"styling",names:["\\(","$"],props:{numArgs:0,allowedInText:!0,allowedInMath:!1},handler:function(e,t){var r=e.funcName,n=e.parser,a=n.mode;n.switchMode("math");var i="\\("===r?"\\)":"$",o=n.parseExpression(!1,i);return n.expect(i),n.switchMode(a),{type:"styling",mode:n.mode,style:"text",body:o}}}),ot({type:"text",names:["\\)","\\]"],props:{numArgs:0,allowedInText:!0,allowedInMath:!1},handler:function(e,t){throw new n("Mismatched "+e.funcName)}});var cn=function(e,t){switch(t.style.size){case x.DISPLAY.size:return e.display;case x.TEXT.size:return e.text;case x.SCRIPT.size:return e.script;case x.SCRIPTSCRIPT.size:return e.scriptscript;default:return e.text}};ot({type:"mathchoice",names:["\\mathchoice"],props:{numArgs:4,primitive:!0},handler:function(e,t){return{type:"mathchoice",mode:e.parser.mode,display:ht(t[0]),text:ht(t[1]),script:ht(t[2]),scriptscript:ht(t[3])}},htmlBuilder:function(e,t){var r=cn(e,t),n=ft(r,t,!1);return Ke.makeFragment(n)},mathmlBuilder:function(e,t){var r=cn(e,t);return It(r,t)}});var mn=function(e,t,r,n,a,i,o){e=Ke.makeSpan([],[e]);var s,h,c,m=r&&l.isCharacterBox(r);if(t){var u=wt(t,n.havingStyle(a.sup()),n);h={elem:u,kern:Math.max(n.fontMetrics().bigOpSpacing1,n.fontMetrics().bigOpSpacing3-u.depth)}}if(r){var p=wt(r,n.havingStyle(a.sub()),n);s={elem:p,kern:Math.max(n.fontMetrics().bigOpSpacing2,n.fontMetrics().bigOpSpacing4-p.height)}}if(h&&s){var d=n.fontMetrics().bigOpSpacing5+s.elem.height+s.elem.depth+s.kern+e.depth+o;c=Ke.makeVList({positionType:"bottom",positionData:d,children:[{type:"kern",size:n.fontMetrics().bigOpSpacing5},{type:"elem",elem:s.elem,marginLeft:F(-i)},{type:"kern",size:s.kern},{type:"elem",elem:e},{type:"kern",size:h.kern},{type:"elem",elem:h.elem,marginLeft:F(i)},{type:"kern",size:n.fontMetrics().bigOpSpacing5}]},n)}else if(s){var f=e.height-o;c=Ke.makeVList({positionType:"top",positionData:f,children:[{type:"kern",size:n.fontMetrics().bigOpSpacing5},{type:"elem",elem:s.elem,marginLeft:F(-i)},{type:"kern",size:s.kern},{type:"elem",elem:e}]},n)}else{if(!h)return e;var g=e.depth+o;c=Ke.makeVList({positionType:"bottom",positionData:g,children:[{type:"elem",elem:e},{type:"kern",size:h.kern},{type:"elem",elem:h.elem,marginLeft:F(i)},{type:"kern",size:n.fontMetrics().bigOpSpacing5}]},n)}var v=[c];if(s&&0!==i&&!m){var b=Ke.makeSpan(["mspace"],[],n);b.style.marginRight=F(i),v.unshift(b)}return Ke.makeSpan(["mop","op-limits"],v,n)},un=["\\smallint"],pn=function(e,t){var r,n,a,i=!1;"supsub"===e.type?(r=e.sup,n=e.sub,a=Ut(e.base,"op"),i=!0):a=Ut(e,"op");var o,s=t.style,h=!1;if(s.size===x.DISPLAY.size&&a.symbol&&!l.contains(un,a.name)&&(h=!0),a.symbol){var c=h?"Size2-Regular":"Size1-Regular",m="";if("\\oiint"!==a.name&&"\\oiiint"!==a.name||(m=a.name.slice(1),a.name="oiint"===m?"\\iint":"\\iiint"),o=Ke.makeSymbol(a.name,c,"math",t,["mop","op-symbol",h?"large-op":"small-op"]),m.length>0){var u=o.italic,p=Ke.staticSvg(m+"Size"+(h?"2":"1"),t);o=Ke.makeVList({positionType:"individualShift",children:[{type:"elem",elem:o,shift:0},{type:"elem",elem:p,shift:h?.08:0}]},t),a.name="\\"+m,o.classes.unshift("mop"),o.italic=u}}else if(a.body){var d=ft(a.body,t,!0);1===d.length&&d[0]instanceof Z?(o=d[0]).classes[0]="mop":o=Ke.makeSpan(["mop"],d,t)}else{for(var f=[],g=1;g0){for(var s=a.body.map((function(e){var t=e.text;return"string"==typeof t?{type:"textord",mode:e.mode,text:t}:e})),l=ft(s,t.withFont("mathrm"),!0),h=0;h=0?s.setAttribute("height",F(a)):(s.setAttribute("height",F(a)),s.setAttribute("depth",F(-a))),s.setAttribute("voffset",F(a)),s}});var yn=["\\tiny","\\sixptsize","\\scriptsize","\\footnotesize","\\small","\\normalsize","\\large","\\Large","\\LARGE","\\huge","\\Huge"];ot({type:"sizing",names:yn,props:{numArgs:0,allowedInText:!0},handler:function(e,t){var r=e.breakOnTokenText,n=e.funcName,a=e.parser,i=a.parseExpression(!1,r);return{type:"sizing",mode:a.mode,size:yn.indexOf(n)+1,body:i}},htmlBuilder:function(e,t){var r=t.havingSize(e.size);return bn(e.body,r,t)},mathmlBuilder:function(e,t){var r=t.havingSize(e.size),n=qt(e.body,r),a=new Tt.MathNode("mstyle",n);return a.setAttribute("mathsize",F(r.sizeMultiplier)),a}}),ot({type:"smash",names:["\\smash"],props:{numArgs:1,numOptionalArgs:1,allowedInText:!0},handler:function(e,t,r){var n=e.parser,a=!1,i=!1,o=r[0]&&Ut(r[0],"ordgroup");if(o)for(var s="",l=0;lr.height+r.depth+i&&(i=(i+m-r.height-r.depth)/2);var u=l.height-r.height-i-h;r.style.paddingLeft=F(c);var p=Ke.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:r,wrapperClasses:["svg-align"]},{type:"kern",size:-(r.height+u)},{type:"elem",elem:l},{type:"kern",size:h}]},t);if(e.index){var d=t.havingStyle(x.SCRIPTSCRIPT),f=wt(e.index,d,t),g=.6*(p.height-p.depth),v=Ke.makeVList({positionType:"shift",positionData:-g,children:[{type:"elem",elem:f}]},t),b=Ke.makeSpan(["root"],[v]);return Ke.makeSpan(["mord","sqrt"],[b,p],t)}return Ke.makeSpan(["mord","sqrt"],[p],t)},mathmlBuilder:function(e,t){var r=e.body,n=e.index;return n?new Tt.MathNode("mroot",[Rt(r,t),Rt(n,t)]):new Tt.MathNode("msqrt",[Rt(r,t)])}});var xn={display:x.DISPLAY,text:x.TEXT,script:x.SCRIPT,scriptscript:x.SCRIPTSCRIPT};ot({type:"styling",names:["\\displaystyle","\\textstyle","\\scriptstyle","\\scriptscriptstyle"],props:{numArgs:0,allowedInText:!0,primitive:!0},handler:function(e,t){var r=e.breakOnTokenText,n=e.funcName,a=e.parser,i=a.parseExpression(!0,r),o=n.slice(1,n.length-5);return{type:"styling",mode:a.mode,style:o,body:i}},htmlBuilder:function(e,t){var r=xn[e.style],n=t.havingStyle(r).withFont("");return bn(e.body,n,t)},mathmlBuilder:function(e,t){var r=xn[e.style],n=t.havingStyle(r),a=qt(e.body,n),i=new Tt.MathNode("mstyle",a),o={display:["0","true"],text:["0","false"],script:["1","false"],scriptscript:["2","false"]}[e.style];return i.setAttribute("scriptlevel",o[0]),i.setAttribute("displaystyle",o[1]),i}});var wn=function(e,t){var r=e.base;return r?"op"===r.type?r.limits&&(t.style.size===x.DISPLAY.size||r.alwaysHandleSupSub)?pn:null:"operatorname"===r.type?r.alwaysHandleSupSub&&(t.style.size===x.DISPLAY.size||r.limits)?vn:null:"accent"===r.type?l.isCharacterBox(r.base)?Wt:null:"horizBrace"===r.type&&!e.sub===r.isOver?ln:null:null};st({type:"supsub",htmlBuilder:function(e,t){var r=wn(e,t);if(r)return r(e,t);var n,a,i,o=e.base,s=e.sup,h=e.sub,c=wt(o,t),m=t.fontMetrics(),u=0,p=0,d=o&&l.isCharacterBox(o);if(s){var f=t.havingStyle(t.style.sup());n=wt(s,f,t),d||(u=c.height-f.fontMetrics().supDrop*f.sizeMultiplier/t.sizeMultiplier)}if(h){var g=t.havingStyle(t.style.sub());a=wt(h,g,t),d||(p=c.depth+g.fontMetrics().subDrop*g.sizeMultiplier/t.sizeMultiplier)}i=t.style===x.DISPLAY?m.sup1:t.style.cramped?m.sup3:m.sup2;var v,b=t.sizeMultiplier,y=F(.5/m.ptPerEm/b),w=null;if(a){var k=e.base&&"op"===e.base.type&&e.base.name&&("\\oiint"===e.base.name||"\\oiiint"===e.base.name);(c instanceof Z||k)&&(w=F(-c.italic))}if(n&&a){u=Math.max(u,i,n.depth+.25*m.xHeight),p=Math.max(p,m.sub2);var S=4*m.defaultRuleThickness;if(u-n.depth-(a.height-p)0&&(u+=M,p-=M)}var z=[{type:"elem",elem:a,shift:p,marginRight:y,marginLeft:w},{type:"elem",elem:n,shift:-u,marginRight:y}];v=Ke.makeVList({positionType:"individualShift",children:z},t)}else if(a){p=Math.max(p,m.sub1,a.height-.8*m.xHeight);var A=[{type:"elem",elem:a,marginLeft:w,marginRight:y}];v=Ke.makeVList({positionType:"shift",positionData:p,children:A},t)}else{if(!n)throw new Error("supsub must have either sup or sub.");u=Math.max(u,i,n.depth+.25*m.xHeight),v=Ke.makeVList({positionType:"shift",positionData:-u,children:[{type:"elem",elem:n,marginRight:y}]},t)}var T=yt(c,"right")||"mord";return Ke.makeSpan([T],[c,Ke.makeSpan(["msupsub"],[v])],t)},mathmlBuilder:function(e,t){var r,n=!1;e.base&&"horizBrace"===e.base.type&&!!e.sup===e.base.isOver&&(n=!0,r=e.base.isOver),!e.base||"op"!==e.base.type&&"operatorname"!==e.base.type||(e.base.parentIsSupSub=!0);var a,i=[Rt(e.base,t)];if(e.sub&&i.push(Rt(e.sub,t)),e.sup&&i.push(Rt(e.sup,t)),n)a=r?"mover":"munder";else if(e.sub)if(e.sup){var o=e.base;a=o&&"op"===o.type&&o.limits&&t.style===x.DISPLAY||o&&"operatorname"===o.type&&o.alwaysHandleSupSub&&(t.style===x.DISPLAY||o.limits)?"munderover":"msubsup"}else{var s=e.base;a=s&&"op"===s.type&&s.limits&&(t.style===x.DISPLAY||s.alwaysHandleSupSub)||s&&"operatorname"===s.type&&s.alwaysHandleSupSub&&(s.limits||t.style===x.DISPLAY)?"munder":"msub"}else{var l=e.base;a=l&&"op"===l.type&&l.limits&&(t.style===x.DISPLAY||l.alwaysHandleSupSub)||l&&"operatorname"===l.type&&l.alwaysHandleSupSub&&(l.limits||t.style===x.DISPLAY)?"mover":"msup"}return new Tt.MathNode(a,i)}}),st({type:"atom",htmlBuilder:function(e,t){return Ke.mathsym(e.text,e.mode,t,["m"+e.family])},mathmlBuilder:function(e,t){var r=new Tt.MathNode("mo",[Bt(e.text,e.mode)]);if("bin"===e.family){var n=Nt(e,t);"bold-italic"===n&&r.setAttribute("mathvariant",n)}else"punct"===e.family?r.setAttribute("separator","true"):"open"!==e.family&&"close"!==e.family||r.setAttribute("stretchy","false");return r}});var kn={mi:"italic",mn:"normal",mtext:"normal"};st({type:"mathord",htmlBuilder:function(e,t){return Ke.makeOrd(e,t,"mathord")},mathmlBuilder:function(e,t){var r=new Tt.MathNode("mi",[Bt(e.text,e.mode,t)]),n=Nt(e,t)||"italic";return n!==kn[r.type]&&r.setAttribute("mathvariant",n),r}}),st({type:"textord",htmlBuilder:function(e,t){return Ke.makeOrd(e,t,"textord")},mathmlBuilder:function(e,t){var r,n=Bt(e.text,e.mode,t),a=Nt(e,t)||"normal";return r="text"===e.mode?new Tt.MathNode("mtext",[n]):/[0-9]/.test(e.text)?new Tt.MathNode("mn",[n]):"\\prime"===e.text?new Tt.MathNode("mo",[n]):new Tt.MathNode("mi",[n]),a!==kn[r.type]&&r.setAttribute("mathvariant",a),r}});var Sn={"\\nobreak":"nobreak","\\allowbreak":"allowbreak"},Mn={" ":{},"\\ ":{},"~":{className:"nobreak"},"\\space":{},"\\nobreakspace":{className:"nobreak"}};st({type:"spacing",htmlBuilder:function(e,t){if(Mn.hasOwnProperty(e.text)){var r=Mn[e.text].className||"";if("text"===e.mode){var a=Ke.makeOrd(e,t,"textord");return a.classes.push(r),a}return Ke.makeSpan(["mspace",r],[Ke.mathsym(e.text,e.mode,t)],t)}if(Sn.hasOwnProperty(e.text))return Ke.makeSpan(["mspace",Sn[e.text]],[],t);throw new n('Unknown type of space "'+e.text+'"')},mathmlBuilder:function(e,t){if(!Mn.hasOwnProperty(e.text)){if(Sn.hasOwnProperty(e.text))return new Tt.MathNode("mspace");throw new n('Unknown type of space "'+e.text+'"')}return new Tt.MathNode("mtext",[new Tt.TextNode("\xa0")])}});var zn=function(){var e=new Tt.MathNode("mtd",[]);return e.setAttribute("width","50%"),e};st({type:"tag",mathmlBuilder:function(e,t){var r=new Tt.MathNode("mtable",[new Tt.MathNode("mtr",[zn(),new Tt.MathNode("mtd",[It(e.body,t)]),zn(),new Tt.MathNode("mtd",[It(e.tag,t)])])]);return r.setAttribute("width","100%"),r}});var An={"\\text":void 0,"\\textrm":"textrm","\\textsf":"textsf","\\texttt":"texttt","\\textnormal":"textrm"},Tn={"\\textbf":"textbf","\\textmd":"textmd"},Bn={"\\textit":"textit","\\textup":"textup"},Cn=function(e,t){var r=e.font;return r?An[r]?t.withTextFontFamily(An[r]):Tn[r]?t.withTextFontWeight(Tn[r]):t.withTextFontShape(Bn[r]):t};ot({type:"text",names:["\\text","\\textrm","\\textsf","\\texttt","\\textnormal","\\textbf","\\textmd","\\textit","\\textup"],props:{numArgs:1,argTypes:["text"],allowedInArgument:!0,allowedInText:!0},handler:function(e,t){var r=e.parser,n=e.funcName,a=t[0];return{type:"text",mode:r.mode,body:ht(a),font:n}},htmlBuilder:function(e,t){var r=Cn(e,t),n=ft(e.body,r,!0);return Ke.makeSpan(["mord","text"],n,r)},mathmlBuilder:function(e,t){var r=Cn(e,t);return It(e.body,r)}}),ot({type:"underline",names:["\\underline"],props:{numArgs:1,allowedInText:!0},handler:function(e,t){return{type:"underline",mode:e.parser.mode,body:t[0]}},htmlBuilder:function(e,t){var r=wt(e.body,t),n=Ke.makeLineSpan("underline-line",t),a=t.fontMetrics().defaultRuleThickness,i=Ke.makeVList({positionType:"top",positionData:r.height,children:[{type:"kern",size:a},{type:"elem",elem:n},{type:"kern",size:3*a},{type:"elem",elem:r}]},t);return Ke.makeSpan(["mord","underline"],[i],t)},mathmlBuilder:function(e,t){var r=new Tt.MathNode("mo",[new Tt.TextNode("\u203e")]);r.setAttribute("stretchy","true");var n=new Tt.MathNode("munder",[Rt(e.body,t),r]);return n.setAttribute("accentunder","true"),n}}),ot({type:"vcenter",names:["\\vcenter"],props:{numArgs:1,argTypes:["original"],allowedInText:!1},handler:function(e,t){return{type:"vcenter",mode:e.parser.mode,body:t[0]}},htmlBuilder:function(e,t){var r=wt(e.body,t),n=t.fontMetrics().axisHeight,a=.5*(r.height-n-(r.depth+n));return Ke.makeVList({positionType:"shift",positionData:a,children:[{type:"elem",elem:r}]},t)},mathmlBuilder:function(e,t){return new Tt.MathNode("mpadded",[Rt(e.body,t)],["vcenter"])}}),ot({type:"verb",names:["\\verb"],props:{numArgs:0,allowedInText:!0},handler:function(e,t,r){throw new n("\\verb ended by end of line instead of matching delimiter")},htmlBuilder:function(e,t){for(var r=Nn(e),n=[],a=t.havingStyle(t.style.text()),i=0;i0;)this.endGroup()},t.has=function(e){return this.current.hasOwnProperty(e)||this.builtins.hasOwnProperty(e)},t.get=function(e){return this.current.hasOwnProperty(e)?this.current[e]:this.builtins[e]},t.set=function(e,t,r){if(void 0===r&&(r=!1),r){for(var n=0;n0&&(this.undefStack[this.undefStack.length-1][e]=t)}else{var a=this.undefStack[this.undefStack.length-1];a&&!a.hasOwnProperty(e)&&(a[e]=this.current[e])}null==t?delete this.current[e]:this.current[e]=t},e}(),Vn=Vr;Pr("\\noexpand",(function(e){var t=e.popToken();return e.isExpandable(t.text)&&(t.noexpand=!0,t.treatAsRelax=!0),{tokens:[t],numArgs:0}})),Pr("\\expandafter",(function(e){var t=e.popToken();return e.expandOnce(!0),{tokens:[t],numArgs:0}})),Pr("\\@firstoftwo",(function(e){return{tokens:e.consumeArgs(2)[0],numArgs:0}})),Pr("\\@secondoftwo",(function(e){return{tokens:e.consumeArgs(2)[1],numArgs:0}})),Pr("\\@ifnextchar",(function(e){var t=e.consumeArgs(3);e.consumeSpaces();var r=e.future();return 1===t[0].length&&t[0][0].text===r.text?{tokens:t[1],numArgs:0}:{tokens:t[2],numArgs:0}})),Pr("\\@ifstar","\\@ifnextchar *{\\@firstoftwo{#1}}"),Pr("\\TextOrMath",(function(e){var t=e.consumeArgs(2);return"text"===e.mode?{tokens:t[0],numArgs:0}:{tokens:t[1],numArgs:0}}));var Pn={0:0,1:1,2:2,3:3,4:4,5:5,6:6,7:7,8:8,9:9,a:10,A:10,b:11,B:11,c:12,C:12,d:13,D:13,e:14,E:14,f:15,F:15};Pr("\\char",(function(e){var t,r=e.popToken(),a="";if("'"===r.text)t=8,r=e.popToken();else if('"'===r.text)t=16,r=e.popToken();else if("`"===r.text)if("\\"===(r=e.popToken()).text[0])a=r.text.charCodeAt(1);else{if("EOF"===r.text)throw new n("\\char` missing argument");a=r.text.charCodeAt(0)}else t=10;if(t){if(null==(a=Pn[r.text])||a>=t)throw new n("Invalid base-"+t+" digit "+r.text);for(var i;null!=(i=Pn[e.future().text])&&i":"\\dotsb","-":"\\dotsb","*":"\\dotsb",":":"\\dotsb","\\DOTSB":"\\dotsb","\\coprod":"\\dotsb","\\bigvee":"\\dotsb","\\bigwedge":"\\dotsb","\\biguplus":"\\dotsb","\\bigcap":"\\dotsb","\\bigcup":"\\dotsb","\\prod":"\\dotsb","\\sum":"\\dotsb","\\bigotimes":"\\dotsb","\\bigoplus":"\\dotsb","\\bigodot":"\\dotsb","\\bigsqcup":"\\dotsb","\\And":"\\dotsb","\\longrightarrow":"\\dotsb","\\Longrightarrow":"\\dotsb","\\longleftarrow":"\\dotsb","\\Longleftarrow":"\\dotsb","\\longleftrightarrow":"\\dotsb","\\Longleftrightarrow":"\\dotsb","\\mapsto":"\\dotsb","\\longmapsto":"\\dotsb","\\hookrightarrow":"\\dotsb","\\doteq":"\\dotsb","\\mathbin":"\\dotsb","\\mathrel":"\\dotsb","\\relbar":"\\dotsb","\\Relbar":"\\dotsb","\\xrightarrow":"\\dotsb","\\xleftarrow":"\\dotsb","\\DOTSI":"\\dotsi","\\int":"\\dotsi","\\oint":"\\dotsi","\\iint":"\\dotsi","\\iiint":"\\dotsi","\\iiiint":"\\dotsi","\\idotsint":"\\dotsi","\\DOTSX":"\\dotsx"};Pr("\\dots",(function(e){var t="\\dotso",r=e.expandAfterFuture().text;return r in Gn?t=Gn[r]:("\\not"===r.slice(0,4)||r in ae.math&&l.contains(["bin","rel"],ae.math[r].group))&&(t="\\dotsb"),t}));var Un={")":!0,"]":!0,"\\rbrack":!0,"\\}":!0,"\\rbrace":!0,"\\rangle":!0,"\\rceil":!0,"\\rfloor":!0,"\\rgroup":!0,"\\rmoustache":!0,"\\right":!0,"\\bigr":!0,"\\biggr":!0,"\\Bigr":!0,"\\Biggr":!0,$:!0,";":!0,".":!0,",":!0};Pr("\\dotso",(function(e){return e.future().text in Un?"\\ldots\\,":"\\ldots"})),Pr("\\dotsc",(function(e){var t=e.future().text;return t in Un&&","!==t?"\\ldots\\,":"\\ldots"})),Pr("\\cdots",(function(e){return e.future().text in Un?"\\@cdots\\,":"\\@cdots"})),Pr("\\dotsb","\\cdots"),Pr("\\dotsm","\\cdots"),Pr("\\dotsi","\\!\\cdots"),Pr("\\dotsx","\\ldots\\,"),Pr("\\DOTSI","\\relax"),Pr("\\DOTSB","\\relax"),Pr("\\DOTSX","\\relax"),Pr("\\tmspace","\\TextOrMath{\\kern#1#3}{\\mskip#1#2}\\relax"),Pr("\\,","\\tmspace+{3mu}{.1667em}"),Pr("\\thinspace","\\,"),Pr("\\>","\\mskip{4mu}"),Pr("\\:","\\tmspace+{4mu}{.2222em}"),Pr("\\medspace","\\:"),Pr("\\;","\\tmspace+{5mu}{.2777em}"),Pr("\\thickspace","\\;"),Pr("\\!","\\tmspace-{3mu}{.1667em}"),Pr("\\negthinspace","\\!"),Pr("\\negmedspace","\\tmspace-{4mu}{.2222em}"),Pr("\\negthickspace","\\tmspace-{5mu}{.277em}"),Pr("\\enspace","\\kern.5em "),Pr("\\enskip","\\hskip.5em\\relax"),Pr("\\quad","\\hskip1em\\relax"),Pr("\\qquad","\\hskip2em\\relax"),Pr("\\tag","\\@ifstar\\tag@literal\\tag@paren"),Pr("\\tag@paren","\\tag@literal{({#1})}"),Pr("\\tag@literal",(function(e){if(e.macros.get("\\df@tag"))throw new n("Multiple \\tag");return"\\gdef\\df@tag{\\text{#1}}"})),Pr("\\bmod","\\mathchoice{\\mskip1mu}{\\mskip1mu}{\\mskip5mu}{\\mskip5mu}\\mathbin{\\rm mod}\\mathchoice{\\mskip1mu}{\\mskip1mu}{\\mskip5mu}{\\mskip5mu}"),Pr("\\pod","\\allowbreak\\mathchoice{\\mkern18mu}{\\mkern8mu}{\\mkern8mu}{\\mkern8mu}(#1)"),Pr("\\pmod","\\pod{{\\rm mod}\\mkern6mu#1}"),Pr("\\mod","\\allowbreak\\mathchoice{\\mkern18mu}{\\mkern12mu}{\\mkern12mu}{\\mkern12mu}{\\rm mod}\\,\\,#1"),Pr("\\newline","\\\\\\relax"),Pr("\\TeX","\\textrm{\\html@mathml{T\\kern-.1667em\\raisebox{-.5ex}{E}\\kern-.125emX}{TeX}}");var Yn=F(T["Main-Regular"]["T".charCodeAt(0)][1]-.7*T["Main-Regular"]["A".charCodeAt(0)][1]);Pr("\\LaTeX","\\textrm{\\html@mathml{L\\kern-.36em\\raisebox{"+Yn+"}{\\scriptstyle A}\\kern-.15em\\TeX}{LaTeX}}"),Pr("\\KaTeX","\\textrm{\\html@mathml{K\\kern-.17em\\raisebox{"+Yn+"}{\\scriptstyle A}\\kern-.15em\\TeX}{KaTeX}}"),Pr("\\hspace","\\@ifstar\\@hspacer\\@hspace"),Pr("\\@hspace","\\hskip #1\\relax"),Pr("\\@hspacer","\\rule{0pt}{0pt}\\hskip #1\\relax"),Pr("\\ordinarycolon",":"),Pr("\\vcentcolon","\\mathrel{\\mathop\\ordinarycolon}"),Pr("\\dblcolon",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-.9mu}\\vcentcolon}}{\\mathop{\\char"2237}}'),Pr("\\coloneqq",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}=}}{\\mathop{\\char"2254}}'),Pr("\\Coloneqq",'\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}=}}{\\mathop{\\char"2237\\char"3d}}'),Pr("\\coloneq",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\mathrel{-}}}{\\mathop{\\char"3a\\char"2212}}'),Pr("\\Coloneq",'\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\mathrel{-}}}{\\mathop{\\char"2237\\char"2212}}'),Pr("\\eqqcolon",'\\html@mathml{\\mathrel{=\\mathrel{\\mkern-1.2mu}\\vcentcolon}}{\\mathop{\\char"2255}}'),Pr("\\Eqqcolon",'\\html@mathml{\\mathrel{=\\mathrel{\\mkern-1.2mu}\\dblcolon}}{\\mathop{\\char"3d\\char"2237}}'),Pr("\\eqcolon",'\\html@mathml{\\mathrel{\\mathrel{-}\\mathrel{\\mkern-1.2mu}\\vcentcolon}}{\\mathop{\\char"2239}}'),Pr("\\Eqcolon",'\\html@mathml{\\mathrel{\\mathrel{-}\\mathrel{\\mkern-1.2mu}\\dblcolon}}{\\mathop{\\char"2212\\char"2237}}'),Pr("\\colonapprox",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\approx}}{\\mathop{\\char"3a\\char"2248}}'),Pr("\\Colonapprox",'\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\approx}}{\\mathop{\\char"2237\\char"2248}}'),Pr("\\colonsim",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\sim}}{\\mathop{\\char"3a\\char"223c}}'),Pr("\\Colonsim",'\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\sim}}{\\mathop{\\char"2237\\char"223c}}'),Pr("\u2237","\\dblcolon"),Pr("\u2239","\\eqcolon"),Pr("\u2254","\\coloneqq"),Pr("\u2255","\\eqqcolon"),Pr("\u2a74","\\Coloneqq"),Pr("\\ratio","\\vcentcolon"),Pr("\\coloncolon","\\dblcolon"),Pr("\\colonequals","\\coloneqq"),Pr("\\coloncolonequals","\\Coloneqq"),Pr("\\equalscolon","\\eqqcolon"),Pr("\\equalscoloncolon","\\Eqqcolon"),Pr("\\colonminus","\\coloneq"),Pr("\\coloncolonminus","\\Coloneq"),Pr("\\minuscolon","\\eqcolon"),Pr("\\minuscoloncolon","\\Eqcolon"),Pr("\\coloncolonapprox","\\Colonapprox"),Pr("\\coloncolonsim","\\Colonsim"),Pr("\\simcolon","\\mathrel{\\sim\\mathrel{\\mkern-1.2mu}\\vcentcolon}"),Pr("\\simcoloncolon","\\mathrel{\\sim\\mathrel{\\mkern-1.2mu}\\dblcolon}"),Pr("\\approxcolon","\\mathrel{\\approx\\mathrel{\\mkern-1.2mu}\\vcentcolon}"),Pr("\\approxcoloncolon","\\mathrel{\\approx\\mathrel{\\mkern-1.2mu}\\dblcolon}"),Pr("\\notni","\\html@mathml{\\not\\ni}{\\mathrel{\\char`\u220c}}"),Pr("\\limsup","\\DOTSB\\operatorname*{lim\\,sup}"),Pr("\\liminf","\\DOTSB\\operatorname*{lim\\,inf}"),Pr("\\injlim","\\DOTSB\\operatorname*{inj\\,lim}"),Pr("\\projlim","\\DOTSB\\operatorname*{proj\\,lim}"),Pr("\\varlimsup","\\DOTSB\\operatorname*{\\overline{lim}}"),Pr("\\varliminf","\\DOTSB\\operatorname*{\\underline{lim}}"),Pr("\\varinjlim","\\DOTSB\\operatorname*{\\underrightarrow{lim}}"),Pr("\\varprojlim","\\DOTSB\\operatorname*{\\underleftarrow{lim}}"),Pr("\\gvertneqq","\\html@mathml{\\@gvertneqq}{\u2269}"),Pr("\\lvertneqq","\\html@mathml{\\@lvertneqq}{\u2268}"),Pr("\\ngeqq","\\html@mathml{\\@ngeqq}{\u2271}"),Pr("\\ngeqslant","\\html@mathml{\\@ngeqslant}{\u2271}"),Pr("\\nleqq","\\html@mathml{\\@nleqq}{\u2270}"),Pr("\\nleqslant","\\html@mathml{\\@nleqslant}{\u2270}"),Pr("\\nshortmid","\\html@mathml{\\@nshortmid}{\u2224}"),Pr("\\nshortparallel","\\html@mathml{\\@nshortparallel}{\u2226}"),Pr("\\nsubseteqq","\\html@mathml{\\@nsubseteqq}{\u2288}"),Pr("\\nsupseteqq","\\html@mathml{\\@nsupseteqq}{\u2289}"),Pr("\\varsubsetneq","\\html@mathml{\\@varsubsetneq}{\u228a}"),Pr("\\varsubsetneqq","\\html@mathml{\\@varsubsetneqq}{\u2acb}"),Pr("\\varsupsetneq","\\html@mathml{\\@varsupsetneq}{\u228b}"),Pr("\\varsupsetneqq","\\html@mathml{\\@varsupsetneqq}{\u2acc}"),Pr("\\imath","\\html@mathml{\\@imath}{\u0131}"),Pr("\\jmath","\\html@mathml{\\@jmath}{\u0237}"),Pr("\\llbracket","\\html@mathml{\\mathopen{[\\mkern-3.2mu[}}{\\mathopen{\\char`\u27e6}}"),Pr("\\rrbracket","\\html@mathml{\\mathclose{]\\mkern-3.2mu]}}{\\mathclose{\\char`\u27e7}}"),Pr("\u27e6","\\llbracket"),Pr("\u27e7","\\rrbracket"),Pr("\\lBrace","\\html@mathml{\\mathopen{\\{\\mkern-3.2mu[}}{\\mathopen{\\char`\u2983}}"),Pr("\\rBrace","\\html@mathml{\\mathclose{]\\mkern-3.2mu\\}}}{\\mathclose{\\char`\u2984}}"),Pr("\u2983","\\lBrace"),Pr("\u2984","\\rBrace"),Pr("\\minuso","\\mathbin{\\html@mathml{{\\mathrlap{\\mathchoice{\\kern{0.145em}}{\\kern{0.145em}}{\\kern{0.1015em}}{\\kern{0.0725em}}\\circ}{-}}}{\\char`\u29b5}}"),Pr("\u29b5","\\minuso"),Pr("\\darr","\\downarrow"),Pr("\\dArr","\\Downarrow"),Pr("\\Darr","\\Downarrow"),Pr("\\lang","\\langle"),Pr("\\rang","\\rangle"),Pr("\\uarr","\\uparrow"),Pr("\\uArr","\\Uparrow"),Pr("\\Uarr","\\Uparrow"),Pr("\\N","\\mathbb{N}"),Pr("\\R","\\mathbb{R}"),Pr("\\Z","\\mathbb{Z}"),Pr("\\alef","\\aleph"),Pr("\\alefsym","\\aleph"),Pr("\\Alpha","\\mathrm{A}"),Pr("\\Beta","\\mathrm{B}"),Pr("\\bull","\\bullet"),Pr("\\Chi","\\mathrm{X}"),Pr("\\clubs","\\clubsuit"),Pr("\\cnums","\\mathbb{C}"),Pr("\\Complex","\\mathbb{C}"),Pr("\\Dagger","\\ddagger"),Pr("\\diamonds","\\diamondsuit"),Pr("\\empty","\\emptyset"),Pr("\\Epsilon","\\mathrm{E}"),Pr("\\Eta","\\mathrm{H}"),Pr("\\exist","\\exists"),Pr("\\harr","\\leftrightarrow"),Pr("\\hArr","\\Leftrightarrow"),Pr("\\Harr","\\Leftrightarrow"),Pr("\\hearts","\\heartsuit"),Pr("\\image","\\Im"),Pr("\\infin","\\infty"),Pr("\\Iota","\\mathrm{I}"),Pr("\\isin","\\in"),Pr("\\Kappa","\\mathrm{K}"),Pr("\\larr","\\leftarrow"),Pr("\\lArr","\\Leftarrow"),Pr("\\Larr","\\Leftarrow"),Pr("\\lrarr","\\leftrightarrow"),Pr("\\lrArr","\\Leftrightarrow"),Pr("\\Lrarr","\\Leftrightarrow"),Pr("\\Mu","\\mathrm{M}"),Pr("\\natnums","\\mathbb{N}"),Pr("\\Nu","\\mathrm{N}"),Pr("\\Omicron","\\mathrm{O}"),Pr("\\plusmn","\\pm"),Pr("\\rarr","\\rightarrow"),Pr("\\rArr","\\Rightarrow"),Pr("\\Rarr","\\Rightarrow"),Pr("\\real","\\Re"),Pr("\\reals","\\mathbb{R}"),Pr("\\Reals","\\mathbb{R}"),Pr("\\Rho","\\mathrm{P}"),Pr("\\sdot","\\cdot"),Pr("\\sect","\\S"),Pr("\\spades","\\spadesuit"),Pr("\\sub","\\subset"),Pr("\\sube","\\subseteq"),Pr("\\supe","\\supseteq"),Pr("\\Tau","\\mathrm{T}"),Pr("\\thetasym","\\vartheta"),Pr("\\weierp","\\wp"),Pr("\\Zeta","\\mathrm{Z}"),Pr("\\argmin","\\DOTSB\\operatorname*{arg\\,min}"),Pr("\\argmax","\\DOTSB\\operatorname*{arg\\,max}"),Pr("\\plim","\\DOTSB\\mathop{\\operatorname{plim}}\\limits"),Pr("\\bra","\\mathinner{\\langle{#1}|}"),Pr("\\ket","\\mathinner{|{#1}\\rangle}"),Pr("\\braket","\\mathinner{\\langle{#1}\\rangle}"),Pr("\\Bra","\\left\\langle#1\\right|"),Pr("\\Ket","\\left|#1\\right\\rangle");var Xn=function(e){return function(t){var r=t.consumeArg().tokens,n=t.consumeArg().tokens,a=t.consumeArg().tokens,i=t.consumeArg().tokens,o=t.macros.get("|"),s=t.macros.get("\\|");t.macros.beginGroup();var l=function(t){return function(r){e&&(r.macros.set("|",o),a.length&&r.macros.set("\\|",s));var i=t;!t&&a.length&&("|"===r.future().text&&(r.popToken(),i=!0));return{tokens:i?a:n,numArgs:0}}};t.macros.set("|",l(!1)),a.length&&t.macros.set("\\|",l(!0));var h=t.consumeArg().tokens,c=t.expandTokens([].concat(i,h,r));return t.macros.endGroup(),{tokens:c.reverse(),numArgs:0}}};Pr("\\bra@ket",Xn(!1)),Pr("\\bra@set",Xn(!0)),Pr("\\Braket","\\bra@ket{\\left\\langle}{\\,\\middle\\vert\\,}{\\,\\middle\\vert\\,}{\\right\\rangle}"),Pr("\\Set","\\bra@set{\\left\\{\\:}{\\;\\middle\\vert\\;}{\\;\\middle\\Vert\\;}{\\:\\right\\}}"),Pr("\\set","\\bra@set{\\{\\,}{\\mid}{}{\\,\\}}"),Pr("\\angln","{\\angl n}"),Pr("\\blue","\\textcolor{##6495ed}{#1}"),Pr("\\orange","\\textcolor{##ffa500}{#1}"),Pr("\\pink","\\textcolor{##ff00af}{#1}"),Pr("\\red","\\textcolor{##df0030}{#1}"),Pr("\\green","\\textcolor{##28ae7b}{#1}"),Pr("\\gray","\\textcolor{gray}{#1}"),Pr("\\purple","\\textcolor{##9d38bd}{#1}"),Pr("\\blueA","\\textcolor{##ccfaff}{#1}"),Pr("\\blueB","\\textcolor{##80f6ff}{#1}"),Pr("\\blueC","\\textcolor{##63d9ea}{#1}"),Pr("\\blueD","\\textcolor{##11accd}{#1}"),Pr("\\blueE","\\textcolor{##0c7f99}{#1}"),Pr("\\tealA","\\textcolor{##94fff5}{#1}"),Pr("\\tealB","\\textcolor{##26edd5}{#1}"),Pr("\\tealC","\\textcolor{##01d1c1}{#1}"),Pr("\\tealD","\\textcolor{##01a995}{#1}"),Pr("\\tealE","\\textcolor{##208170}{#1}"),Pr("\\greenA","\\textcolor{##b6ffb0}{#1}"),Pr("\\greenB","\\textcolor{##8af281}{#1}"),Pr("\\greenC","\\textcolor{##74cf70}{#1}"),Pr("\\greenD","\\textcolor{##1fab54}{#1}"),Pr("\\greenE","\\textcolor{##0d923f}{#1}"),Pr("\\goldA","\\textcolor{##ffd0a9}{#1}"),Pr("\\goldB","\\textcolor{##ffbb71}{#1}"),Pr("\\goldC","\\textcolor{##ff9c39}{#1}"),Pr("\\goldD","\\textcolor{##e07d10}{#1}"),Pr("\\goldE","\\textcolor{##a75a05}{#1}"),Pr("\\redA","\\textcolor{##fca9a9}{#1}"),Pr("\\redB","\\textcolor{##ff8482}{#1}"),Pr("\\redC","\\textcolor{##f9685d}{#1}"),Pr("\\redD","\\textcolor{##e84d39}{#1}"),Pr("\\redE","\\textcolor{##bc2612}{#1}"),Pr("\\maroonA","\\textcolor{##ffbde0}{#1}"),Pr("\\maroonB","\\textcolor{##ff92c6}{#1}"),Pr("\\maroonC","\\textcolor{##ed5fa6}{#1}"),Pr("\\maroonD","\\textcolor{##ca337c}{#1}"),Pr("\\maroonE","\\textcolor{##9e034e}{#1}"),Pr("\\purpleA","\\textcolor{##ddd7ff}{#1}"),Pr("\\purpleB","\\textcolor{##c6b9fc}{#1}"),Pr("\\purpleC","\\textcolor{##aa87ff}{#1}"),Pr("\\purpleD","\\textcolor{##7854ab}{#1}"),Pr("\\purpleE","\\textcolor{##543b78}{#1}"),Pr("\\mintA","\\textcolor{##f5f9e8}{#1}"),Pr("\\mintB","\\textcolor{##edf2df}{#1}"),Pr("\\mintC","\\textcolor{##e0e5cc}{#1}"),Pr("\\grayA","\\textcolor{##f6f7f7}{#1}"),Pr("\\grayB","\\textcolor{##f0f1f2}{#1}"),Pr("\\grayC","\\textcolor{##e3e5e6}{#1}"),Pr("\\grayD","\\textcolor{##d6d8da}{#1}"),Pr("\\grayE","\\textcolor{##babec2}{#1}"),Pr("\\grayF","\\textcolor{##888d93}{#1}"),Pr("\\grayG","\\textcolor{##626569}{#1}"),Pr("\\grayH","\\textcolor{##3b3e40}{#1}"),Pr("\\grayI","\\textcolor{##21242c}{#1}"),Pr("\\kaBlue","\\textcolor{##314453}{#1}"),Pr("\\kaGreen","\\textcolor{##71B307}{#1}");var Wn={"^":!0,_:!0,"\\limits":!0,"\\nolimits":!0},_n=function(){function e(e,t,r){this.settings=void 0,this.expansionCount=void 0,this.lexer=void 0,this.macros=void 0,this.stack=void 0,this.mode=void 0,this.settings=t,this.expansionCount=0,this.feed(e),this.macros=new Dn(Vn,t.macros),this.mode=r,this.stack=[]}var t=e.prototype;return t.feed=function(e){this.lexer=new Ln(e,this.settings)},t.switchMode=function(e){this.mode=e},t.beginGroup=function(){this.macros.beginGroup()},t.endGroup=function(){this.macros.endGroup()},t.endGroups=function(){this.macros.endGroups()},t.future=function(){return 0===this.stack.length&&this.pushToken(this.lexer.lex()),this.stack[this.stack.length-1]},t.popToken=function(){return this.future(),this.stack.pop()},t.pushToken=function(e){this.stack.push(e)},t.pushTokens=function(e){var t;(t=this.stack).push.apply(t,e)},t.scanArgument=function(e){var t,r,n;if(e){if(this.consumeSpaces(),"["!==this.future().text)return null;t=this.popToken();var a=this.consumeArg(["]"]);n=a.tokens,r=a.end}else{var i=this.consumeArg();n=i.tokens,t=i.start,r=i.end}return this.pushToken(new Gr("EOF",r.loc)),this.pushTokens(n),t.range(r,"")},t.consumeSpaces=function(){for(;;){if(" "!==this.future().text)break;this.stack.pop()}},t.consumeArg=function(e){var t=[],r=e&&e.length>0;r||this.consumeSpaces();var a,i=this.future(),o=0,s=0;do{if(a=this.popToken(),t.push(a),"{"===a.text)++o;else if("}"===a.text){if(-1===--o)throw new n("Extra }",a)}else if("EOF"===a.text)throw new n("Unexpected end of input in a macro argument, expected '"+(e&&r?e[s]:"}")+"'",a);if(e&&r)if((0===o||1===o&&"{"===e[s])&&a.text===e[s]){if(++s===e.length){t.splice(-s,s);break}}else s=0}while(0!==o||r);return"{"===i.text&&"}"===t[t.length-1].text&&(t.pop(),t.shift()),t.reverse(),{tokens:t,start:i,end:a}},t.consumeArgs=function(e,t){if(t){if(t.length!==e+1)throw new n("The length of delimiters doesn't match the number of args!");for(var r=t[0],a=0;athis.settings.maxExpand)throw new n("Too many expansions: infinite loop or need to increase maxExpand setting");var i=a.tokens,o=this.consumeArgs(a.numArgs,a.delimiters);if(a.numArgs)for(var s=(i=i.slice()).length-1;s>=0;--s){var l=i[s];if("#"===l.text){if(0===s)throw new n("Incomplete placeholder at end of macro body",l);if("#"===(l=i[--s]).text)i.splice(s+1,1);else{if(!/^[1-9]$/.test(l.text))throw new n("Not a valid argument number",l);var h;(h=i).splice.apply(h,[s,2].concat(o[+l.text-1]))}}}return this.pushTokens(i),i.length},t.expandAfterFuture=function(){return this.expandOnce(),this.future()},t.expandNextToken=function(){for(;;)if(!1===this.expandOnce()){var e=this.stack.pop();return e.treatAsRelax&&(e.text="\\relax"),e}throw new Error},t.expandMacro=function(e){return this.macros.has(e)?this.expandTokens([new Gr(e)]):void 0},t.expandTokens=function(e){var t=[],r=this.stack.length;for(this.pushTokens(e);this.stack.length>r;)if(!1===this.expandOnce(!0)){var n=this.stack.pop();n.treatAsRelax&&(n.noexpand=!1,n.treatAsRelax=!1),t.push(n)}return t},t.expandMacroAsText=function(e){var t=this.expandMacro(e);return t?t.map((function(e){return e.text})).join(""):t},t._getExpansion=function(e){var t=this.macros.get(e);if(null==t)return t;if(1===e.length){var r=this.lexer.catcodes[e];if(null!=r&&13!==r)return}var n="function"==typeof t?t(this):t;if("string"==typeof n){var a=0;if(-1!==n.indexOf("#"))for(var i=n.replace(/##/g,"");-1!==i.indexOf("#"+(a+1));)++a;for(var o=new Ln(n,this.settings),s=[],l=o.lex();"EOF"!==l.text;)s.push(l),l=o.lex();return s.reverse(),{tokens:s,numArgs:a}}return n},t.isDefined=function(e){return this.macros.has(e)||qn.hasOwnProperty(e)||ae.math.hasOwnProperty(e)||ae.text.hasOwnProperty(e)||Wn.hasOwnProperty(e)},t.isExpandable=function(e){var t=this.macros.get(e);return null!=t?"string"==typeof t||"function"==typeof t||!t.unexpandable:qn.hasOwnProperty(e)&&!qn[e].primitive},e}(),jn=/^[\u208a\u208b\u208c\u208d\u208e\u2080\u2081\u2082\u2083\u2084\u2085\u2086\u2087\u2088\u2089\u2090\u2091\u2095\u1d62\u2c7c\u2096\u2097\u2098\u2099\u2092\u209a\u1d63\u209b\u209c\u1d64\u1d65\u2093\u1d66\u1d67\u1d68\u1d69\u1d6a]/,$n=Object.freeze({"\u208a":"+","\u208b":"-","\u208c":"=","\u208d":"(","\u208e":")","\u2080":"0","\u2081":"1","\u2082":"2","\u2083":"3","\u2084":"4","\u2085":"5","\u2086":"6","\u2087":"7","\u2088":"8","\u2089":"9","\u2090":"a","\u2091":"e","\u2095":"h","\u1d62":"i","\u2c7c":"j","\u2096":"k","\u2097":"l","\u2098":"m","\u2099":"n","\u2092":"o","\u209a":"p","\u1d63":"r","\u209b":"s","\u209c":"t","\u1d64":"u","\u1d65":"v","\u2093":"x","\u1d66":"\u03b2","\u1d67":"\u03b3","\u1d68":"\u03c1","\u1d69":"\u03d5","\u1d6a":"\u03c7","\u207a":"+","\u207b":"-","\u207c":"=","\u207d":"(","\u207e":")","\u2070":"0","\xb9":"1","\xb2":"2","\xb3":"3","\u2074":"4","\u2075":"5","\u2076":"6","\u2077":"7","\u2078":"8","\u2079":"9","\u1d2c":"A","\u1d2e":"B","\u1d30":"D","\u1d31":"E","\u1d33":"G","\u1d34":"H","\u1d35":"I","\u1d36":"J","\u1d37":"K","\u1d38":"L","\u1d39":"M","\u1d3a":"N","\u1d3c":"O","\u1d3e":"P","\u1d3f":"R","\u1d40":"T","\u1d41":"U","\u2c7d":"V","\u1d42":"W","\u1d43":"a","\u1d47":"b","\u1d9c":"c","\u1d48":"d","\u1d49":"e","\u1da0":"f","\u1d4d":"g","\u02b0":"h","\u2071":"i","\u02b2":"j","\u1d4f":"k","\u02e1":"l","\u1d50":"m","\u207f":"n","\u1d52":"o","\u1d56":"p","\u02b3":"r","\u02e2":"s","\u1d57":"t","\u1d58":"u","\u1d5b":"v","\u02b7":"w","\u02e3":"x","\u02b8":"y","\u1dbb":"z","\u1d5d":"\u03b2","\u1d5e":"\u03b3","\u1d5f":"\u03b4","\u1d60":"\u03d5","\u1d61":"\u03c7","\u1dbf":"\u03b8"}),Zn={"\u0301":{text:"\\'",math:"\\acute"},"\u0300":{text:"\\`",math:"\\grave"},"\u0308":{text:'\\"',math:"\\ddot"},"\u0303":{text:"\\~",math:"\\tilde"},"\u0304":{text:"\\=",math:"\\bar"},"\u0306":{text:"\\u",math:"\\breve"},"\u030c":{text:"\\v",math:"\\check"},"\u0302":{text:"\\^",math:"\\hat"},"\u0307":{text:"\\.",math:"\\dot"},"\u030a":{text:"\\r",math:"\\mathring"},"\u030b":{text:"\\H"},"\u0327":{text:"\\c"}},Kn={"\xe1":"a\u0301","\xe0":"a\u0300","\xe4":"a\u0308","\u01df":"a\u0308\u0304","\xe3":"a\u0303","\u0101":"a\u0304","\u0103":"a\u0306","\u1eaf":"a\u0306\u0301","\u1eb1":"a\u0306\u0300","\u1eb5":"a\u0306\u0303","\u01ce":"a\u030c","\xe2":"a\u0302","\u1ea5":"a\u0302\u0301","\u1ea7":"a\u0302\u0300","\u1eab":"a\u0302\u0303","\u0227":"a\u0307","\u01e1":"a\u0307\u0304","\xe5":"a\u030a","\u01fb":"a\u030a\u0301","\u1e03":"b\u0307","\u0107":"c\u0301","\u1e09":"c\u0327\u0301","\u010d":"c\u030c","\u0109":"c\u0302","\u010b":"c\u0307","\xe7":"c\u0327","\u010f":"d\u030c","\u1e0b":"d\u0307","\u1e11":"d\u0327","\xe9":"e\u0301","\xe8":"e\u0300","\xeb":"e\u0308","\u1ebd":"e\u0303","\u0113":"e\u0304","\u1e17":"e\u0304\u0301","\u1e15":"e\u0304\u0300","\u0115":"e\u0306","\u1e1d":"e\u0327\u0306","\u011b":"e\u030c","\xea":"e\u0302","\u1ebf":"e\u0302\u0301","\u1ec1":"e\u0302\u0300","\u1ec5":"e\u0302\u0303","\u0117":"e\u0307","\u0229":"e\u0327","\u1e1f":"f\u0307","\u01f5":"g\u0301","\u1e21":"g\u0304","\u011f":"g\u0306","\u01e7":"g\u030c","\u011d":"g\u0302","\u0121":"g\u0307","\u0123":"g\u0327","\u1e27":"h\u0308","\u021f":"h\u030c","\u0125":"h\u0302","\u1e23":"h\u0307","\u1e29":"h\u0327","\xed":"i\u0301","\xec":"i\u0300","\xef":"i\u0308","\u1e2f":"i\u0308\u0301","\u0129":"i\u0303","\u012b":"i\u0304","\u012d":"i\u0306","\u01d0":"i\u030c","\xee":"i\u0302","\u01f0":"j\u030c","\u0135":"j\u0302","\u1e31":"k\u0301","\u01e9":"k\u030c","\u0137":"k\u0327","\u013a":"l\u0301","\u013e":"l\u030c","\u013c":"l\u0327","\u1e3f":"m\u0301","\u1e41":"m\u0307","\u0144":"n\u0301","\u01f9":"n\u0300","\xf1":"n\u0303","\u0148":"n\u030c","\u1e45":"n\u0307","\u0146":"n\u0327","\xf3":"o\u0301","\xf2":"o\u0300","\xf6":"o\u0308","\u022b":"o\u0308\u0304","\xf5":"o\u0303","\u1e4d":"o\u0303\u0301","\u1e4f":"o\u0303\u0308","\u022d":"o\u0303\u0304","\u014d":"o\u0304","\u1e53":"o\u0304\u0301","\u1e51":"o\u0304\u0300","\u014f":"o\u0306","\u01d2":"o\u030c","\xf4":"o\u0302","\u1ed1":"o\u0302\u0301","\u1ed3":"o\u0302\u0300","\u1ed7":"o\u0302\u0303","\u022f":"o\u0307","\u0231":"o\u0307\u0304","\u0151":"o\u030b","\u1e55":"p\u0301","\u1e57":"p\u0307","\u0155":"r\u0301","\u0159":"r\u030c","\u1e59":"r\u0307","\u0157":"r\u0327","\u015b":"s\u0301","\u1e65":"s\u0301\u0307","\u0161":"s\u030c","\u1e67":"s\u030c\u0307","\u015d":"s\u0302","\u1e61":"s\u0307","\u015f":"s\u0327","\u1e97":"t\u0308","\u0165":"t\u030c","\u1e6b":"t\u0307","\u0163":"t\u0327","\xfa":"u\u0301","\xf9":"u\u0300","\xfc":"u\u0308","\u01d8":"u\u0308\u0301","\u01dc":"u\u0308\u0300","\u01d6":"u\u0308\u0304","\u01da":"u\u0308\u030c","\u0169":"u\u0303","\u1e79":"u\u0303\u0301","\u016b":"u\u0304","\u1e7b":"u\u0304\u0308","\u016d":"u\u0306","\u01d4":"u\u030c","\xfb":"u\u0302","\u016f":"u\u030a","\u0171":"u\u030b","\u1e7d":"v\u0303","\u1e83":"w\u0301","\u1e81":"w\u0300","\u1e85":"w\u0308","\u0175":"w\u0302","\u1e87":"w\u0307","\u1e98":"w\u030a","\u1e8d":"x\u0308","\u1e8b":"x\u0307","\xfd":"y\u0301","\u1ef3":"y\u0300","\xff":"y\u0308","\u1ef9":"y\u0303","\u0233":"y\u0304","\u0177":"y\u0302","\u1e8f":"y\u0307","\u1e99":"y\u030a","\u017a":"z\u0301","\u017e":"z\u030c","\u1e91":"z\u0302","\u017c":"z\u0307","\xc1":"A\u0301","\xc0":"A\u0300","\xc4":"A\u0308","\u01de":"A\u0308\u0304","\xc3":"A\u0303","\u0100":"A\u0304","\u0102":"A\u0306","\u1eae":"A\u0306\u0301","\u1eb0":"A\u0306\u0300","\u1eb4":"A\u0306\u0303","\u01cd":"A\u030c","\xc2":"A\u0302","\u1ea4":"A\u0302\u0301","\u1ea6":"A\u0302\u0300","\u1eaa":"A\u0302\u0303","\u0226":"A\u0307","\u01e0":"A\u0307\u0304","\xc5":"A\u030a","\u01fa":"A\u030a\u0301","\u1e02":"B\u0307","\u0106":"C\u0301","\u1e08":"C\u0327\u0301","\u010c":"C\u030c","\u0108":"C\u0302","\u010a":"C\u0307","\xc7":"C\u0327","\u010e":"D\u030c","\u1e0a":"D\u0307","\u1e10":"D\u0327","\xc9":"E\u0301","\xc8":"E\u0300","\xcb":"E\u0308","\u1ebc":"E\u0303","\u0112":"E\u0304","\u1e16":"E\u0304\u0301","\u1e14":"E\u0304\u0300","\u0114":"E\u0306","\u1e1c":"E\u0327\u0306","\u011a":"E\u030c","\xca":"E\u0302","\u1ebe":"E\u0302\u0301","\u1ec0":"E\u0302\u0300","\u1ec4":"E\u0302\u0303","\u0116":"E\u0307","\u0228":"E\u0327","\u1e1e":"F\u0307","\u01f4":"G\u0301","\u1e20":"G\u0304","\u011e":"G\u0306","\u01e6":"G\u030c","\u011c":"G\u0302","\u0120":"G\u0307","\u0122":"G\u0327","\u1e26":"H\u0308","\u021e":"H\u030c","\u0124":"H\u0302","\u1e22":"H\u0307","\u1e28":"H\u0327","\xcd":"I\u0301","\xcc":"I\u0300","\xcf":"I\u0308","\u1e2e":"I\u0308\u0301","\u0128":"I\u0303","\u012a":"I\u0304","\u012c":"I\u0306","\u01cf":"I\u030c","\xce":"I\u0302","\u0130":"I\u0307","\u0134":"J\u0302","\u1e30":"K\u0301","\u01e8":"K\u030c","\u0136":"K\u0327","\u0139":"L\u0301","\u013d":"L\u030c","\u013b":"L\u0327","\u1e3e":"M\u0301","\u1e40":"M\u0307","\u0143":"N\u0301","\u01f8":"N\u0300","\xd1":"N\u0303","\u0147":"N\u030c","\u1e44":"N\u0307","\u0145":"N\u0327","\xd3":"O\u0301","\xd2":"O\u0300","\xd6":"O\u0308","\u022a":"O\u0308\u0304","\xd5":"O\u0303","\u1e4c":"O\u0303\u0301","\u1e4e":"O\u0303\u0308","\u022c":"O\u0303\u0304","\u014c":"O\u0304","\u1e52":"O\u0304\u0301","\u1e50":"O\u0304\u0300","\u014e":"O\u0306","\u01d1":"O\u030c","\xd4":"O\u0302","\u1ed0":"O\u0302\u0301","\u1ed2":"O\u0302\u0300","\u1ed6":"O\u0302\u0303","\u022e":"O\u0307","\u0230":"O\u0307\u0304","\u0150":"O\u030b","\u1e54":"P\u0301","\u1e56":"P\u0307","\u0154":"R\u0301","\u0158":"R\u030c","\u1e58":"R\u0307","\u0156":"R\u0327","\u015a":"S\u0301","\u1e64":"S\u0301\u0307","\u0160":"S\u030c","\u1e66":"S\u030c\u0307","\u015c":"S\u0302","\u1e60":"S\u0307","\u015e":"S\u0327","\u0164":"T\u030c","\u1e6a":"T\u0307","\u0162":"T\u0327","\xda":"U\u0301","\xd9":"U\u0300","\xdc":"U\u0308","\u01d7":"U\u0308\u0301","\u01db":"U\u0308\u0300","\u01d5":"U\u0308\u0304","\u01d9":"U\u0308\u030c","\u0168":"U\u0303","\u1e78":"U\u0303\u0301","\u016a":"U\u0304","\u1e7a":"U\u0304\u0308","\u016c":"U\u0306","\u01d3":"U\u030c","\xdb":"U\u0302","\u016e":"U\u030a","\u0170":"U\u030b","\u1e7c":"V\u0303","\u1e82":"W\u0301","\u1e80":"W\u0300","\u1e84":"W\u0308","\u0174":"W\u0302","\u1e86":"W\u0307","\u1e8c":"X\u0308","\u1e8a":"X\u0307","\xdd":"Y\u0301","\u1ef2":"Y\u0300","\u0178":"Y\u0308","\u1ef8":"Y\u0303","\u0232":"Y\u0304","\u0176":"Y\u0302","\u1e8e":"Y\u0307","\u0179":"Z\u0301","\u017d":"Z\u030c","\u1e90":"Z\u0302","\u017b":"Z\u0307","\u03ac":"\u03b1\u0301","\u1f70":"\u03b1\u0300","\u1fb1":"\u03b1\u0304","\u1fb0":"\u03b1\u0306","\u03ad":"\u03b5\u0301","\u1f72":"\u03b5\u0300","\u03ae":"\u03b7\u0301","\u1f74":"\u03b7\u0300","\u03af":"\u03b9\u0301","\u1f76":"\u03b9\u0300","\u03ca":"\u03b9\u0308","\u0390":"\u03b9\u0308\u0301","\u1fd2":"\u03b9\u0308\u0300","\u1fd1":"\u03b9\u0304","\u1fd0":"\u03b9\u0306","\u03cc":"\u03bf\u0301","\u1f78":"\u03bf\u0300","\u03cd":"\u03c5\u0301","\u1f7a":"\u03c5\u0300","\u03cb":"\u03c5\u0308","\u03b0":"\u03c5\u0308\u0301","\u1fe2":"\u03c5\u0308\u0300","\u1fe1":"\u03c5\u0304","\u1fe0":"\u03c5\u0306","\u03ce":"\u03c9\u0301","\u1f7c":"\u03c9\u0300","\u038e":"\u03a5\u0301","\u1fea":"\u03a5\u0300","\u03ab":"\u03a5\u0308","\u1fe9":"\u03a5\u0304","\u1fe8":"\u03a5\u0306","\u038f":"\u03a9\u0301","\u1ffa":"\u03a9\u0300"},Jn=function(){function e(e,t){this.mode=void 0,this.gullet=void 0,this.settings=void 0,this.leftrightDepth=void 0,this.nextToken=void 0,this.mode="math",this.gullet=new _n(e,t,this.mode),this.settings=t,this.leftrightDepth=0}var t=e.prototype;return t.expect=function(e,t){if(void 0===t&&(t=!0),this.fetch().text!==e)throw new n("Expected '"+e+"', got '"+this.fetch().text+"'",this.fetch());t&&this.consume()},t.consume=function(){this.nextToken=null},t.fetch=function(){return null==this.nextToken&&(this.nextToken=this.gullet.expandNextToken()),this.nextToken},t.switchMode=function(e){this.mode=e,this.gullet.switchMode(e)},t.parse=function(){this.settings.globalGroup||this.gullet.beginGroup(),this.settings.colorIsTextColor&&this.gullet.macros.set("\\color","\\textcolor");try{var e=this.parseExpression(!1);return this.expect("EOF"),this.settings.globalGroup||this.gullet.endGroup(),e}finally{this.gullet.endGroups()}},t.subparse=function(e){var t=this.nextToken;this.consume(),this.gullet.pushToken(new Gr("}")),this.gullet.pushTokens(e);var r=this.parseExpression(!1);return this.expect("}"),this.nextToken=t,r},t.parseExpression=function(t,r){for(var n=[];;){"math"===this.mode&&this.consumeSpaces();var a=this.fetch();if(-1!==e.endOfExpression.indexOf(a.text))break;if(r&&a.text===r)break;if(t&&qn[a.text]&&qn[a.text].infix)break;var i=this.parseAtom(r);if(!i)break;"internal"!==i.type&&n.push(i)}return"text"===this.mode&&this.formLigatures(n),this.handleInfixNodes(n)},t.handleInfixNodes=function(e){for(var t,r=-1,a=0;a=0&&this.settings.reportNonstrict("unicodeTextInMathMode",'Latin-1/Unicode text character "'+t[0]+'" used in math mode',e);var s,l=ae[this.mode][t].group,h=Fr.range(e);if(te.hasOwnProperty(l)){var c=l;s={type:"atom",mode:this.mode,family:c,loc:h,text:t}}else s={type:l,mode:this.mode,loc:h,text:t};i=s}else{if(!(t.charCodeAt(0)>=128))return null;this.settings.strict&&(S(t.charCodeAt(0))?"math"===this.mode&&this.settings.reportNonstrict("unicodeTextInMathMode",'Unicode text character "'+t[0]+'" used in math mode',e):this.settings.reportNonstrict("unknownSymbol",'Unrecognized Unicode character "'+t[0]+'" ('+t.charCodeAt(0)+")",e)),i={type:"textord",mode:"text",loc:Fr.range(e),text:t}}if(this.consume(),o)for(var m=0;m inputImages = new ArrayList(); + private long nextImageId = System.currentTimeMillis(); private static class StreamToolCall { String id = ""; @@ -152,12 +158,14 @@ protected void onCreate(Bundle savedInstanceState) { } apiService = new ApiService(this); + geminiImageService = new GeminiImageService(this); msgList = (ListView) findViewById(R.id.messages_list); helloLayout = findViewById(R.id.hello_layout); input = (EditText) findViewById(R.id.message_input); sendBtn = (ImageButton) findViewById(R.id.send_button); attachBtn = (ImageButton) findViewById(R.id.attach_button); thinkingToggle = (ToggleButton) findViewById(R.id.thinking); + imageToggle = (ToggleButton) findViewById(R.id.image_generation); progressBar = (ProgressBar) findViewById(R.id.waiting); imgCount = (TextView) findViewById(R.id.img_count); @@ -175,10 +183,21 @@ public void onClick(View v) { public void onClick(View view) { Intent intent = new Intent(Intent.ACTION_GET_CONTENT); intent.setType("image/*"); + // Use the raw extra name so the app can keep its API 1 compatibility. + // Android 4.3+ file pickers return multiple selections through ClipData. + intent.putExtra("android.intent.extra.ALLOW_MULTIPLE", true); startActivityForResult(Intent.createChooser(intent, getString(R.string.select_picture)), REQUEST_CODE_PICK_IMAGE); } }); + imageToggle.setOnClickListener(new OnClickListener() { + @Override + public void onClick(View view) { + updateImageModeUi(); + } + }); + updateImageModeUi(); + adapter = new MessageAdapter(this, MessageManager.getInstance().getMessages()); msgList.setAdapter(adapter); scrollToBottom(); @@ -489,12 +508,39 @@ private void updateEmptyState() { @Override protected void onActivityResult(int requestCode, int resultCode, Intent data) { if (requestCode == REQUEST_CODE_PICK_IMAGE && resultCode == RESULT_OK && data != null) { - processSelectedImage(data.getData()); + boolean processedMultiple = processSelectedImages(data); + if (!processedMultiple && data.getData() != null) { + processSelectedImage(data.getData()); + } + } + } + + private boolean processSelectedImages(Intent data) { + try { + Method getClipData = data.getClass().getMethod("getClipData", new Class[0]); + Object clipData = getClipData.invoke(data, new Object[0]); + if (clipData == null) return false; + + Method getItemCount = clipData.getClass().getMethod("getItemCount", new Class[0]); + Method getItemAt = clipData.getClass().getMethod("getItemAt", new Class[]{Integer.TYPE}); + int itemCount = ((Integer) getItemCount.invoke(clipData, new Object[0])).intValue(); + + for (int i = 0; i < itemCount; i++) { + Object item = getItemAt.invoke(clipData, new Object[]{Integer.valueOf(i)}); + Method getUri = item.getClass().getMethod("getUri", new Class[0]); + Uri uri = (Uri) getUri.invoke(item, new Object[0]); + if (uri != null) processSelectedImage(uri); + } + return itemCount > 0; + } catch (Exception ignored) { + // ClipData does not exist on old Android versions. The single-image + // data URI fallback in onActivityResult keeps the old behavior working. + return false; } } private void processSelectedImage(Uri uri) { - String fileName = "img_" + System.currentTimeMillis() + ".jpg"; + String fileName = "img_" + nextImageId++ + ".jpg"; FileOutputStream fos = null; boolean success = false; try { @@ -596,13 +642,19 @@ private void stopGeneration() { private void sendMessage() { String text = input.getText().toString().trim(); + final boolean generateImage = imageToggle != null && imageToggle.isChecked(); + if (generateImage && text.length() == 0) { + Toast.makeText(this, R.string.gemini_image_prompt_required, Toast.LENGTH_SHORT).show(); + return; + } if (text.length() == 0 && inputImages.isEmpty()) return; if (isGenerating) { stopGeneration(); } hideKeyboard(); autoScroll = true; - MessageManager.getInstance().addMessage(new Message(Role.USER, text, new ArrayList(inputImages), null)); + final List selectedImages = new ArrayList(inputImages); + MessageManager.getInstance().addMessage(new Message(Role.USER, text, selectedImages, null)); ChatManager.getInstance().onMessageAdded(this); input.setText(""); sendBtn.setImageResource(R.drawable.ic_action_stop); @@ -614,7 +666,11 @@ private void sendMessage() { adapter.notifyDataSetChanged(); updateEmptyState(); scrollToBottom(); - requestAICompletion(); + if (generateImage) { + requestGeminiImage(text, selectedImages); + } else { + requestAICompletion(); + } } private void requestAICompletion() { @@ -656,6 +712,90 @@ public void run() { }); } + private void requestGeminiImage(final String prompt, final List selectedImages) { + isThinkingState = false; + isGenerating = true; + currentAssistantMsg = null; + isThinkingEnabled = false; + globalCancelled = false; + final int genId = ++globalGenerationId; + + geminiImageService.generate(prompt, selectedImages, new ApiCallback() { + @Override + public void onSuccess(final GeminiImageResult result) { + if (genId != globalGenerationId || globalCancelled) return; + runOnCurrentActivity(new Runnable() { + @Override + public void run() { + if (genId != globalGenerationId || globalCancelled) return; + MainActivity act = currentActivityInstance; + if (act != null) act.saveGeminiImageResult(result); + } + }); + } + + @Override + public void onError(final ApiError error) { + if (genId != globalGenerationId || globalCancelled) return; + runOnCurrentActivity(new Runnable() { + @Override + public void run() { + if (genId != globalGenerationId || globalCancelled) return; + MainActivity act = currentActivityInstance; + if (act != null) act.handleStreamError(error.getMessage()); + } + }); + } + }); + } + + private void saveGeminiImageResult(GeminiImageResult result) { + String mimeType = result.getMimeType(); + boolean isPng = "image/png".equalsIgnoreCase(mimeType); + String fileName = "gemini_img_" + nextImageId++ + (isPng ? ".png" : ".jpg"); + FileOutputStream fos = null; + boolean saved = false; + try { + byte[] bytes = Base64.decode(result.getImageData()); + fos = openFileOutput(fileName, Context.MODE_PRIVATE); + fos.write(bytes); + fos.flush(); + saved = bytes.length > 0; + } catch (Exception e) { + Log.e("GeminiImage", "Could not save generated image", e); + } finally { + if (fos != null) { + try { fos.close(); } catch (IOException ignored) {} + } + } + + if (!saved) { + deleteFile(fileName); + handleStreamError(getString(R.string.gemini_image_save_failed)); + return; + } + + String description = result.getText(); + if (description == null || description.trim().length() == 0) { + description = getString(R.string.gemini_image_done); + } + Message generated = new Message(Role.ASSISTANT, description, getString(R.string.gemini_image_model_label)); + generated.setOutputImage(fileName); + MessageManager.getInstance().addMessage(generated); + ChatManager.getInstance().onMessageAdded(this); + resetUIState(); + } + + private void updateImageModeUi() { + if (imageToggle == null || thinkingToggle == null || input == null) return; + boolean generatingImage = imageToggle.isChecked(); + if (generatingImage) { + thinkingToggle.setChecked(false); + } + thinkingToggle.setEnabled(!generatingImage); + input.setHint(generatingImage ? R.string.gemini_image_prompt_hint : R.string.ask_anything); + } + private void startResponseStream(final int genId, final InputStream stream, String model, final boolean thinkingEnabled) { if (genId != globalGenerationId || globalCancelled) { if (stream != null) { @@ -1273,4 +1413,4 @@ private String extractJSONReasoning(JSONObject delta) { return null; } -} \ No newline at end of file +} diff --git a/app/src/main/java/io/github/gohoski/numai/SettingsActivity.java b/app/src/main/java/io/github/gohoski/numai/SettingsActivity.java index 73ba841..902133b 100644 --- a/app/src/main/java/io/github/gohoski/numai/SettingsActivity.java +++ b/app/src/main/java/io/github/gohoski/numai/SettingsActivity.java @@ -11,6 +11,7 @@ import android.view.View; import android.widget.AdapterView; import android.widget.ArrayAdapter; +import android.widget.Button; import android.widget.CheckBox; import android.widget.EditText; import android.widget.LinearLayout; @@ -25,6 +26,7 @@ import io.github.gohoski.numai.api.ApiError; import io.github.gohoski.numai.api.ApiManager; import io.github.gohoski.numai.api.ApiService; +import io.github.gohoski.numai.api.GeminiImageService; import io.github.gohoski.numai.data.ConfigManager; import io.github.gohoski.numai.model.Config; import io.github.gohoski.numai.ui.Loading; @@ -42,7 +44,8 @@ public class SettingsActivity extends Activity { String lastChatModel, lastThinkModel; CheckBox shrinkThink, webSearch, webFetch, disableToolsImg; String systemPrompt; - EditText updateDelay; + EditText updateDelay, geminiImageKey, geminiImageModel; + Button fetchGeminiImageModels; @Override protected void onCreate(Bundle savedInstanceState) { @@ -121,6 +124,18 @@ public boolean onTouch(View v, MotionEvent event) { updateDelay = (EditText) findViewById(R.id.update_delay); updateDelay.setText(conf.getUpdateDelay()+""); + geminiImageKey = (EditText) findViewById(R.id.gemini_image_api_key); + geminiImageKey.setText(config.getGeminiImageApiKey()); + geminiImageModel = (EditText) findViewById(R.id.gemini_image_model); + geminiImageModel.setText(config.getGeminiImageModel()); + fetchGeminiImageModels = (Button) findViewById(R.id.fetch_gemini_image_models); + fetchGeminiImageModels.setOnClickListener(new View.OnClickListener() { + @Override + public void onClick(View view) { + fetchGeminiImageModels(); + } + }); + // Restore saved instance state on rotation if (savedInstanceState != null) { if (savedInstanceState.containsKey("api_key") && keyText != null) { @@ -132,6 +147,12 @@ public boolean onTouch(View v, MotionEvent event) { if (savedInstanceState.containsKey("update_delay") && updateDelay != null) { updateDelay.setText(savedInstanceState.getString("update_delay")); } + if (savedInstanceState.containsKey("gemini_image_key") && geminiImageKey != null) { + geminiImageKey.setText(savedInstanceState.getString("gemini_image_key")); + } + if (savedInstanceState.containsKey("gemini_image_model") && geminiImageModel != null) { + geminiImageModel.setText(savedInstanceState.getString("gemini_image_model")); + } if (savedInstanceState.containsKey("shrink_think") && shrinkThink != null) { shrinkThink.setChecked(savedInstanceState.getBoolean("shrink_think")); } @@ -178,6 +199,7 @@ public boolean onTouch(View v, MotionEvent event) { findViewById(R.id.ok).setOnClickListener(new View.OnClickListener() { @Override public void onClick(View view) { + saveGeminiImageSettings(); final String urlByName = ApiManager.getUrlByName(apiSpinner.getSelectedItem().toString()); if (conf.getBaseUrl().equals(urlByName)) { config.setConfig(new Config(urlByName, @@ -281,6 +303,12 @@ protected void onSaveInstanceState(Bundle outState) { if (updateDelay != null) { outState.putString("update_delay", updateDelay.getText().toString()); } + if (geminiImageKey != null) { + outState.putString("gemini_image_key", geminiImageKey.getText().toString()); + } + if (geminiImageModel != null) { + outState.putString("gemini_image_model", geminiImageModel.getText().toString()); + } if (shrinkThink != null) { outState.putBoolean("shrink_think", shrinkThink.isChecked()); } @@ -423,6 +451,50 @@ private int indexOfItem(ArrayAdapter adapter, String item) { return -1; } + private void saveGeminiImageSettings() { + if (geminiImageKey != null) { + config.updateGeminiImageApiKey(geminiImageKey.getText().toString()); + } + if (geminiImageModel != null) { + config.updateGeminiImageModel(geminiImageModel.getText().toString()); + } + } + + private void fetchGeminiImageModels() { + // Save the text currently on screen so a newly pasted key can be used immediately. + saveGeminiImageSettings(); + final Loading loading = new Loading(context); + GeminiImageService gemini = new GeminiImageService(context); + gemini.getAvailableImageModels(new ApiCallback>() { + @Override + public void onSuccess(final ArrayList models) { + loading.dismiss(); + if (models == null || models.isEmpty()) { + Toast.makeText(context, R.string.gemini_image_models_empty, Toast.LENGTH_LONG).show(); + return; + } + final String[] modelNames = models.toArray(new String[models.size()]); + new AlertDialog.Builder(context) + .setTitle(R.string.choose_gemini_image_model) + .setItems(modelNames, new DialogInterface.OnClickListener() { + @Override + public void onClick(DialogInterface dialog, int which) { + if (which >= 0 && which < modelNames.length) { + geminiImageModel.setText(modelNames[which]); + } + } + }) + .show(); + } + + @Override + public void onError(ApiError error) { + loading.dismiss(); + Toast.makeText(context, error.getMessage(), Toast.LENGTH_LONG).show(); + } + }); + } + private void loadModels(final Spinner spinner) { if (fetched) { spinner.performClick(); @@ -474,4 +546,4 @@ public void onError(ApiError error) { } }); } -} \ No newline at end of file +} diff --git a/app/src/main/java/io/github/gohoski/numai/api/ApiService.java b/app/src/main/java/io/github/gohoski/numai/api/ApiService.java index 89ff4a0..986e0bd 100644 --- a/app/src/main/java/io/github/gohoski/numai/api/ApiService.java +++ b/app/src/main/java/io/github/gohoski/numai/api/ApiService.java @@ -152,12 +152,13 @@ public void run() { private JSONArray buildMessages(List rawMessages, boolean[] hasImgHolder) { JSONArray messages = new JSONArray(); String systemStr = config.getConfig().getSystemPrompt(); - if (systemStr != null && systemStr.trim().length() != 0) { - JSONObject system = new JSONObject(); - system.put("role", "system"); - system.put("content", systemStr); - messages.add(system); - } + String latexInstruction = ctx.getString(R.string.latex_system_instruction); + if (systemStr == null || systemStr.trim().length() == 0) systemStr = latexInstruction; + else systemStr = systemStr.trim() + "\n\n" + latexInstruction; + JSONObject system = new JSONObject(); + system.put("role", "system"); + system.put("content", systemStr); + messages.add(system); int size = rawMessages.size(); for (int i = 0; i < size; i++) { @@ -360,4 +361,4 @@ public static String getBase64FromFilename(Context context, String fileName) { } } } -} \ No newline at end of file +} diff --git a/app/src/main/java/io/github/gohoski/numai/api/GeminiImageResult.java b/app/src/main/java/io/github/gohoski/numai/api/GeminiImageResult.java new file mode 100644 index 0000000..b62cb79 --- /dev/null +++ b/app/src/main/java/io/github/gohoski/numai/api/GeminiImageResult.java @@ -0,0 +1,18 @@ +package io.github.gohoski.numai.api; + +/** Result of one native Gemini image request. */ +public class GeminiImageResult { + private final String imageData; + private final String mimeType; + private final String text; + + public GeminiImageResult(String imageData, String mimeType, String text) { + this.imageData = imageData; + this.mimeType = mimeType; + this.text = text; + } + + public String getImageData() { return imageData; } + public String getMimeType() { return mimeType; } + public String getText() { return text; } +} diff --git a/app/src/main/java/io/github/gohoski/numai/api/GeminiImageService.java b/app/src/main/java/io/github/gohoski/numai/api/GeminiImageService.java new file mode 100644 index 0000000..9ed7cdd --- /dev/null +++ b/app/src/main/java/io/github/gohoski/numai/api/GeminiImageService.java @@ -0,0 +1,259 @@ +package io.github.gohoski.numai.api; + +import android.content.Context; +import android.os.Handler; +import android.os.Looper; + +import java.util.ArrayList; +import java.util.HashSet; +import java.util.List; +import java.util.Set; + +import cc.nnproject.json.JSON; +import cc.nnproject.json.JSONArray; +import cc.nnproject.json.JSONObject; +import io.github.gohoski.numai.R; +import io.github.gohoski.numai.data.ConfigManager; + +/** + * Native Gemini Interactions API client for image generation and editing. + * It intentionally uses a distinct, user-supplied key; no key is embedded in + * the application or sent to an OpenAI-compatible provider. + */ +public class GeminiImageService { + private static final String GEMINI_BASE_URL = "https://generativelanguage.googleapis.com/v1beta"; + private static final int MAX_RESPONSE_IMAGE_BASE64_CHARS = 7000000; + + private final ApiClient apiClient; + private final ConfigManager config; + private final Context context; + private final Handler mainHandler = new Handler(Looper.getMainLooper()); + + public GeminiImageService(Context context) { + this.context = context.getApplicationContext(); + this.apiClient = new ApiClient(context); + this.config = ConfigManager.getInstance(context); + } + + public void generate(final String prompt, final List inputImages, + final ApiCallback callback) { + new Thread(new Runnable() { + @Override + public void run() { + String key = config.getGeminiImageApiKey(); + if (key == null || key.length() == 0) { + deliverError(callback, new ApiError(context.getString(R.string.gemini_image_key_required))); + return; + } + + try { + ApiRequest request = new ApiRequest(GEMINI_BASE_URL, "/interactions", "POST"); + request.addHeader("x-goog-api-key", key); + request.addHeader("Content-Type", "application/json"); + request.setReadTimeout(90000); + request.setBody(buildRequestBody(prompt, inputImages).toString()); + + ApiResponse response = apiClient.execute(request); + String responseText = apiClient.readInputStreamToString(response.getBody()); + if (!response.isSuccessful()) { + deliverError(callback, new ApiError(context.getString(R.string.gemini_image_failed, + response.getStatusCode() + " " + extractErrorMessage(responseText)))); + return; + } + + GeminiImageResult result = parseResult(responseText); + if (result == null || result.getImageData() == null || result.getImageData().length() == 0) { + deliverError(callback, new ApiError(context.getString(R.string.gemini_image_no_result))); + } else if (result.getImageData().length() > MAX_RESPONSE_IMAGE_BASE64_CHARS) { + deliverError(callback, new ApiError(context.getString(R.string.gemini_image_too_large))); + } else { + deliverSuccess(callback, result); + } + } catch (ApiError e) { + deliverError(callback, e); + } catch (Exception e) { + deliverError(callback, new ApiError(context.getString(R.string.gemini_image_failed, + e.getMessage() == null ? "unknown error" : e.getMessage()))); + } + } + }).start(); + } + + /** + * Reads the models available to the user's Gemini key and returns only + * native Gemini image models supported by this app's Interactions request. + */ + public void getAvailableImageModels(final ApiCallback> callback) { + new Thread(new Runnable() { + @Override + public void run() { + String key = config.getGeminiImageApiKey(); + if (key == null || key.length() == 0) { + deliverError(callback, new ApiError(context.getString(R.string.gemini_image_key_required))); + return; + } + + try { + ArrayList models = new ArrayList(); + Set seenModels = new HashSet(); + String pageToken = null; + int pageCount = 0; + + do { + ApiRequest request = new ApiRequest(GEMINI_BASE_URL, "/models", "GET"); + request.addHeader("x-goog-api-key", key); + request.addParam("pageSize", "1000"); + if (pageToken != null && pageToken.length() > 0) { + request.addParam("pageToken", pageToken); + } + request.setReadTimeout(30000); + + ApiResponse response = apiClient.execute(request); + String responseText = apiClient.readInputStreamToString(response.getBody()); + if (!response.isSuccessful()) { + deliverError(callback, new ApiError(context.getString(R.string.gemini_image_models_failed, + response.getStatusCode() + " " + extractErrorMessage(responseText)))); + return; + } + + JSONObject root = JSON.getObject(responseText); + JSONArray listedModels = root.getNullableArray("models"); + if (listedModels != null) { + for (int i = 0; i < listedModels.size(); i++) { + JSONObject model = listedModels.getObject(i); + if (model == null) continue; + String modelName = model.getNullableString("name"); + if (modelName == null || modelName.length() == 0) continue; + if (modelName.startsWith("models/")) { + modelName = modelName.substring("models/".length()); + } + if (isSupportedImageModel(modelName) && !seenModels.contains(modelName)) { + seenModels.add(modelName); + models.add(modelName); + } + } + } + pageToken = root.getNullableString("nextPageToken"); + pageCount++; + } while (pageToken != null && pageToken.length() > 0 && pageCount < 10); + + if (models.isEmpty()) { + deliverError(callback, new ApiError(context.getString(R.string.gemini_image_models_empty))); + } else { + deliverSuccess(callback, models); + } + } catch (ApiError e) { + deliverError(callback, e); + } catch (Exception e) { + deliverError(callback, new ApiError(context.getString(R.string.gemini_image_models_failed, + e.getMessage() == null ? "unknown error" : e.getMessage()))); + } + } + }).start(); + } + + private boolean isSupportedImageModel(String modelName) { + String lowerName = modelName == null ? "" : modelName.toLowerCase(); + // The native Interactions API used by this app accepts Gemini's image family. + // Do not include Imagen here: it uses a different API request format. + return lowerName.startsWith("gemini-") && lowerName.endsWith("-image"); + } + + private JSONObject buildRequestBody(String prompt, List inputImages) { + JSONObject body = new JSONObject(); + body.put("model", config.getGeminiImageModel()); + // Do not retain private prompts or reference photos in Gemini's interaction history. + body.put("store", false); + + JSONArray input = new JSONArray(); + JSONObject text = new JSONObject(); + text.put("type", "text"); + text.put("text", prompt == null ? "" : prompt); + input.add(text); + + if (inputImages != null) { + for (int i = 0; i < inputImages.size(); i++) { + String base64 = ApiService.getBase64FromFilename(context, inputImages.get(i)); + if (base64 == null) continue; + int comma = base64.indexOf(','); + JSONObject image = new JSONObject(); + image.put("type", "image"); + image.put("mime_type", "image/jpeg"); + image.put("data", comma >= 0 ? base64.substring(comma + 1) : base64); + input.add(image); + } + } + body.put("input", input); + + // A 512px output avoids exhausting RAM or storage on older phones and watches. + // Gemini's REST API accepts the literal value "512", not "0.5K". + JSONObject format = new JSONObject(); + format.put("type", "image"); + format.put("mime_type", "image/jpeg"); + format.put("image_size", "512"); + body.put("response_format", format); + return body; + } + + private GeminiImageResult parseResult(String rawResponse) throws Exception { + JSONObject response = JSON.getObject(rawResponse); + JSONArray steps = response.getNullableArray("steps"); + if (steps == null) return null; + + String imageData = null; + String mimeType = "image/jpeg"; + StringBuilder text = new StringBuilder(); + for (int i = 0; i < steps.size(); i++) { + JSONObject step = steps.getObject(i); + if (step == null || !"model_output".equals(step.getNullableString("type"))) continue; + JSONArray content = step.getNullableArray("content"); + if (content == null) continue; + for (int j = 0; j < content.size(); j++) { + JSONObject part = content.getObject(j); + if (part == null) continue; + String type = part.getNullableString("type"); + if ("image".equals(type)) { + String data = part.getNullableString("data"); + if (data != null && data.length() > 0) { + imageData = data; + String returnedMime = part.getNullableString("mime_type"); + if (returnedMime != null && returnedMime.length() > 0) mimeType = returnedMime; + } + } else if ("text".equals(type)) { + String block = part.getNullableString("text"); + if (block != null && block.length() > 0) { + if (text.length() > 0) text.append("\n"); + text.append(block); + } + } + } + } + return imageData == null ? null : new GeminiImageResult(imageData, mimeType, text.toString()); + } + + private String extractErrorMessage(String rawResponse) { + try { + JSONObject root = JSON.getObject(rawResponse); + JSONObject error = root.getObject("error"); + if (error != null) { + String message = error.getNullableString("message"); + if (message != null && message.length() > 0) return message; + } + } catch (Exception ignored) {} + return rawResponse == null || rawResponse.length() == 0 ? "no response" : rawResponse; + } + + private void deliverSuccess(final ApiCallback callback, final T result) { + mainHandler.post(new Runnable() { + @Override + public void run() { callback.onSuccess(result); } + }); + } + + private void deliverError(final ApiCallback callback, final ApiError error) { + mainHandler.post(new Runnable() { + @Override + public void run() { callback.onError(error); } + }); + } +} diff --git a/app/src/main/java/io/github/gohoski/numai/data/ChatManager.java b/app/src/main/java/io/github/gohoski/numai/data/ChatManager.java index ea7a0ae..393fefb 100644 --- a/app/src/main/java/io/github/gohoski/numai/data/ChatManager.java +++ b/app/src/main/java/io/github/gohoski/numai/data/ChatManager.java @@ -105,6 +105,10 @@ public void deleteChat(Context context, Chat chat) { } } } + String generatedImage = msg.getOutputImage(); + if (generatedImage != null && !generatedImage.startsWith("data:image")) { + context.deleteFile(generatedImage); + } } } @@ -131,6 +135,10 @@ public void run() { } } } + String generatedImage = msg.getOutputImage(); + if (generatedImage != null && !generatedImage.startsWith("data:image")) { + referencedFiles.add(generatedImage); + } } } @@ -138,7 +146,8 @@ public void run() { String[] files = ctx.fileList(); if (files != null) { for (String file : files) { - if (file.startsWith("img_") && file.endsWith(".jpg")) { + if ((file.startsWith("img_") || file.startsWith("gemini_img_")) && + (file.endsWith(".jpg") || file.endsWith(".png"))) { if (!referencedFiles.contains(file)) { ctx.deleteFile(file); } diff --git a/app/src/main/java/io/github/gohoski/numai/data/ConfigManager.java b/app/src/main/java/io/github/gohoski/numai/data/ConfigManager.java index 9288028..b25307d 100644 --- a/app/src/main/java/io/github/gohoski/numai/data/ConfigManager.java +++ b/app/src/main/java/io/github/gohoski/numai/data/ConfigManager.java @@ -17,7 +17,9 @@ public class ConfigManager { KEY_WEB_SEARCH_ENABLED = "webSearchEnabled", KEY_WEB_FETCH_ENABLED = "webFetchEnabled", KEY_DISABLE_TOOLS_WITH_IMAGE = "disableToolsWithImage", - KEY_SEARCH_ENGINE = "searchEngine"; + KEY_SEARCH_ENGINE = "searchEngine", + KEY_GEMINI_IMAGE_API_KEY = "geminiImageApiKey", + KEY_GEMINI_IMAGE_MODEL = "geminiImageModel"; private static ConfigManager instance; private final SharedPreferences preferences; @@ -106,4 +108,24 @@ public void updateSystemPrompt(String systemPrompt) { public boolean isConfigValid() { return config.isValid(); } -} \ No newline at end of file + + /** The Gemini image key is deliberately separate from the chat provider key. */ + public String getGeminiImageApiKey() { + return preferences.getString(KEY_GEMINI_IMAGE_API_KEY, ""); + } + + public void updateGeminiImageApiKey(String apiKey) { + preferences.edit().putString(KEY_GEMINI_IMAGE_API_KEY, + apiKey == null ? "" : apiKey.trim()).commit(); + } + + public String getGeminiImageModel() { + return preferences.getString(KEY_GEMINI_IMAGE_MODEL, "gemini-3.1-flash-image"); + } + + public void updateGeminiImageModel(String model) { + String safeModel = model == null ? "" : model.trim(); + if (safeModel.length() == 0) safeModel = "gemini-3.1-flash-image"; + preferences.edit().putString(KEY_GEMINI_IMAGE_MODEL, safeModel).commit(); + } +} diff --git a/app/src/main/java/io/github/gohoski/numai/model/Message.java b/app/src/main/java/io/github/gohoski/numai/model/Message.java index 1d0f16a..d2aefbf 100644 --- a/app/src/main/java/io/github/gohoski/numai/model/Message.java +++ b/app/src/main/java/io/github/gohoski/numai/model/Message.java @@ -13,6 +13,7 @@ public class Message { private String content = ""; private String llm; private List inputImages; + private String outputImage; private boolean isError = false; private JSONArray toolCalls; private String toolCallId; @@ -61,6 +62,15 @@ public List getInputImages() { return inputImages; } + /** Filename of an image generated by an assistant, if this message has one. */ + public String getOutputImage() { + return outputImage; + } + + public void setOutputImage(String outputImage) { + this.outputImage = outputImage; + } + public JSONArray getToolCalls() { return toolCalls; } @@ -226,6 +236,9 @@ public JSONObject toJSONObject() { } json.put("inputImages", imgArr); } + if (outputImage != null && outputImage.length() > 0) { + json.put("outputImage", outputImage); + } if (toolCalls != null) json.put("toolCalls", toolCalls); if (toolCallId != null) json.put("toolCallId", toolCallId); if (searchResultCount >= 0) json.put("searchResultCount", searchResultCount); @@ -260,6 +273,9 @@ public static Message fromJSONObject(JSONObject json) { } Message message = new Message(role, content, inputImages, llm); + if (json.has("outputImage")) { + message.setOutputImage(json.getNullableString("outputImage")); + } if (json.has("toolCalls")) { message.setToolCalls(json.getNullableArray("toolCalls")); } else if (json.has("tool_calls")) { @@ -280,4 +296,4 @@ public static Message fromJSONObject(JSONObject json) { } return message; } -} \ No newline at end of file +} diff --git a/app/src/main/java/io/github/gohoski/numai/ui/MathMarkdownView.java b/app/src/main/java/io/github/gohoski/numai/ui/MathMarkdownView.java new file mode 100644 index 0000000..5b45c71 --- /dev/null +++ b/app/src/main/java/io/github/gohoski/numai/ui/MathMarkdownView.java @@ -0,0 +1,269 @@ +package io.github.gohoski.numai.ui; + +import android.content.Context; +import android.graphics.Color; +import android.os.Build; +import android.util.AttributeSet; +import android.webkit.WebSettings; +import android.webkit.WebView; +import android.webkit.WebViewClient; +import android.webkit.JavascriptInterface; +import android.view.ViewGroup; + +/** + * A small, self-contained Markdown and LaTeX renderer. KaTeX and its fonts + * live in android_asset, so mathematical messages keep working without a + * network connection. + */ +public class MathMarkdownView extends WebView { + private String lastMarkdown = null; + private int lastHeight = -1; + + public MathMarkdownView(Context context) { + super(context); + initialize(); + } + + public MathMarkdownView(Context context, AttributeSet attrs) { + super(context, attrs); + initialize(); + } + + public MathMarkdownView(Context context, AttributeSet attrs, int defStyle) { + super(context, attrs, defStyle); + initialize(); + } + + private void initialize() { + setBackgroundColor(Color.TRANSPARENT); + setVerticalScrollBarEnabled(false); + setHorizontalScrollBarEnabled(false); + setFocusable(false); + setFocusableInTouchMode(false); + + WebSettings settings = getSettings(); + settings.setJavaScriptEnabled(true); + settings.setDefaultTextEncodingName("UTF-8"); + settings.setSupportZoom(false); + settings.setLoadWithOverviewMode(false); + settings.setUseWideViewPort(false); + if (Integer.parseInt(Build.VERSION.SDK) >= 8) { + settings.setBlockNetworkLoads(true); + } + + // Only trusted, bundled JavaScript is loaded. The Markdown itself is + // escaped before it is put in the document. + addJavascriptInterface(new HeightBridge(this), "NumAiMath"); + setWebViewClient(new WebViewClient()); + } + + public static boolean canRender(String markdown) { + if (markdown == null || markdown.length() == 0) return false; + if (hasPaired(markdown, "$$", "$$", 2)) return true; + if (hasPaired(markdown, "\\[", "\\]", 2)) return true; + if (hasPaired(markdown, "\\(", "\\)", 2)) return true; + + int length = markdown.length(); + for (int i = 0; i < length; i++) { + if (markdown.charAt(i) != '$' || isEscaped(markdown, i)) continue; + if (i + 1 < length && markdown.charAt(i + 1) == '$') { + i++; + continue; + } + int end = findInlineDollarEnd(markdown, i + 1); + if (end > i + 1) return true; + } + return false; + } + + public void setMarkdown(String markdown) { + String safeMarkdown = markdown == null ? "" : markdown; + if (safeMarkdown.equals(lastMarkdown)) return; + lastMarkdown = safeMarkdown; + lastHeight = -1; + loadDataWithBaseURL("file:///android_asset/katex/", buildDocument(safeMarkdown), "text/html", "UTF-8", null); + } + + public void updateHeight(final int height) { + post(new Runnable() { + @Override + public void run() { + int safeHeight = height; + if (safeHeight < 1) safeHeight = 1; + if (safeHeight > 100000) safeHeight = 100000; + if (safeHeight == lastHeight) return; + lastHeight = safeHeight; + ViewGroup.LayoutParams params = getLayoutParams(); + if (params != null) { + params.height = safeHeight; + setLayoutParams(params); + } + } + }); + } + + public static class HeightBridge { + private final MathMarkdownView view; + + public HeightBridge(MathMarkdownView view) { + this.view = view; + } + + @JavascriptInterface + public void setHeight(int height) { + if (view != null) view.updateHeight(height); + } + } + + private static String buildDocument(String markdown) { + StringBuilder html = new StringBuilder(); + html.append(""); + html.append(""); + html.append(""); + html.append(""); + html.append(""); + appendMarkdown(html, markdown); + html.append(""); + return html.toString(); + } + + private static void appendMarkdown(StringBuilder html, String markdown) { + boolean inCodeBlock = false; + int start = 0; + int length = markdown.length(); + while (start <= length) { + int end = markdown.indexOf('\n', start); + if (end == -1) end = length; + String line = markdown.substring(start, end); + if (line.endsWith("\r")) line = line.substring(0, line.length() - 1); + + if (line.trim().startsWith("```")) { + if (inCodeBlock) html.append(""); + else html.append("
");
+                inCodeBlock = !inCodeBlock;
+            } else if (inCodeBlock) {
+                html.append(escapeHtml(line));
+                if (end < length) html.append("\n");
+            } else if (line.length() == 0) {
+                html.append("
 
");
+            } else if (line.startsWith("### ")) {
+                html.append("
"); appendInline(html, line.substring(4)); html.append("
");
+            } else if (line.startsWith("## ")) {
+                html.append("
"); appendInline(html, line.substring(3)); html.append("
");
+            } else if (line.startsWith("# ")) {
+                html.append("
"); appendInline(html, line.substring(2)); html.append("
");
+            } else if (line.startsWith("- ") || line.startsWith("* ")) {
+                html.append("
• "); appendInline(html, line.substring(2)); html.append("
");
+            } else if (line.startsWith("> ")) {
+                html.append("
"); appendInline(html, line.substring(2)); html.append("
");
+            } else {
+                html.append("
"); appendInline(html, line); html.append("
");
+            }
+
+            if (end == length) break;
+            start = end + 1;
+        }
+        if (inCodeBlock) html.append("
"); + } + + private static void appendInline(StringBuilder html, String text) { + int cursor = 0; + while (cursor < text.length()) { + MathRange range = findNextMathRange(text, cursor); + if (range == null) { + html.append(formatText(text.substring(cursor))); + break; + } + if (range.start > cursor) html.append(formatText(text.substring(cursor, range.start))); + html.append(""); + cursor = range.end; + } + } + + private static MathRange findNextMathRange(String text, int from) { + int length = text.length(); + for (int i = from; i < length; i++) { + if (text.startsWith("$$", i) && !isEscaped(text, i)) { + int end = text.indexOf("$$", i + 2); + if (end != -1) return new MathRange(i, end + 2, text.substring(i + 2, end), true); + } + if (text.startsWith("\\[", i) && !isEscaped(text, i)) { + int end = text.indexOf("\\]", i + 2); + if (end != -1) return new MathRange(i, end + 2, text.substring(i + 2, end), true); + } + if (text.startsWith("\\(", i) && !isEscaped(text, i)) { + int end = text.indexOf("\\)", i + 2); + if (end != -1) return new MathRange(i, end + 2, text.substring(i + 2, end), false); + } + if (text.charAt(i) == '$' && !isEscaped(text, i) && (i + 1 >= length || text.charAt(i + 1) != '$')) { + int end = findInlineDollarEnd(text, i + 1); + if (end > i + 1) return new MathRange(i, end + 1, text.substring(i + 1, end), false); + } + } + return null; + } + + private static boolean hasPaired(String text, String open, String close, int afterOpen) { + int start = text.indexOf(open); + return start != -1 && text.indexOf(close, start + afterOpen) != -1; + } + + private static int findInlineDollarEnd(String text, int from) { + if (from >= text.length() || Character.isWhitespace(text.charAt(from))) return -1; + for (int i = from; i < text.length(); i++) { + char c = text.charAt(i); + if (c == '\n' || c == '\r') return -1; + if (c == '$' && !isEscaped(text, i) && i > from && !Character.isWhitespace(text.charAt(i - 1))) return i; + } + return -1; + } + + private static boolean isEscaped(String text, int position) { + int slashCount = 0; + for (int i = position - 1; i >= 0 && text.charAt(i) == '\\'; i--) slashCount++; + return (slashCount % 2) == 1; + } + + private static String formatText(String text) { + String formatted = escapeHtml(text); + formatted = formatted.replaceAll("`([^`]+)`", "$1"); + formatted = formatted.replaceAll("\\*\\*([^*]+)\\*\\*", "$1"); + formatted = formatted.replaceAll("__([^_]+)__", "$1"); + formatted = formatted.replaceAll("\\*([^*]+)\\*", "$1"); + formatted = formatted.replaceAll("_([^_]+)_", "$1"); + formatted = formatted.replaceAll("~~([^~]+)~~", "$1"); + return formatted; + } + + private static String escapeHtml(String text) { + if (text == null || text.length() == 0) return ""; + return text.replace("&", "&") + .replace("<", "<") + .replace(">", ">") + .replace("\"", """) + .replace("'", "'"); + } + + private static class MathRange { + int start; + int end; + String tex; + boolean display; + + MathRange(int start, int end, String tex, boolean display) { + this.start = start; + this.end = end; + this.tex = tex; + this.display = display; + } + } +} diff --git a/app/src/main/java/io/github/gohoski/numai/ui/MessageAdapter.java b/app/src/main/java/io/github/gohoski/numai/ui/MessageAdapter.java index 1b95049..def07a3 100644 --- a/app/src/main/java/io/github/gohoski/numai/ui/MessageAdapter.java +++ b/app/src/main/java/io/github/gohoski/numai/ui/MessageAdapter.java @@ -1,6 +1,9 @@ package io.github.gohoski.numai.ui; +import android.app.AlertDialog; import android.content.Context; +import android.graphics.Bitmap; +import android.graphics.BitmapFactory; import android.text.method.LinkMovementMethod; import android.util.Log; import android.view.LayoutInflater; @@ -11,6 +14,9 @@ import android.widget.ProgressBar; import android.widget.TextView; +import java.io.FileInputStream; +import java.io.IOException; + import java.util.ArrayList; import java.util.List; @@ -112,6 +118,8 @@ private View getReceivedView(int position, View convertView, ViewGroup parent, M holder = new ReceivedViewHolder(); holder.messageText = (TextView) convertView.findViewById(R.id.message_text); + holder.mathMarkdown = (MathMarkdownView) convertView.findViewById(R.id.message_math); + holder.generatedImage = (android.widget.ImageView) convertView.findViewById(R.id.generated_image); holder.llm = (TextView) convertView.findViewById(R.id.llm); holder.thinkingLayout = (LinearLayout) convertView.findViewById(R.id.thinkingLayout); holder.noThinking = (ProgressBar) convertView.findViewById(R.id.noThinking); @@ -218,12 +226,48 @@ private View getReceivedView(int position, View convertView, ViewGroup parent, M // Response Box holder.llm.setText(message.getLlm()); + String outputImage = message.getOutputImage(); + if (outputImage != null && outputImage.length() > 0) { + Bitmap generatedBitmap = decodeGeneratedImage(outputImage, 1024); + if (generatedBitmap != null) { + holder.generatedImage.setImageBitmap(generatedBitmap); + holder.generatedImage.setVisibility(View.VISIBLE); + holder.generatedImage.setTag(outputImage); + holder.generatedImage.setOnClickListener(new View.OnClickListener() { + @Override + public void onClick(View view) { + Object tag = view.getTag(); + if (tag instanceof String) showGeneratedImage((String) tag); + } + }); + } else { + holder.generatedImage.setImageBitmap(null); + holder.generatedImage.setVisibility(View.GONE); + } + } else { + holder.generatedImage.setImageBitmap(null); + holder.generatedImage.setVisibility(View.GONE); + holder.generatedImage.setTag(null); + holder.generatedImage.setOnClickListener(null); + } + if (displayRaw != null && displayRaw.length() != 0) { holder.response.setVisibility(View.VISIBLE); - holder.messageText.setMovementMethod(LinkMovementMethod.getInstance()); - holder.messageText.setText(message.getParsedDisplayContent(context, false)); + if (MathMarkdownView.canRender(displayRaw)) { + holder.messageText.setVisibility(View.GONE); + holder.mathMarkdown.setVisibility(View.VISIBLE); + holder.mathMarkdown.setMarkdown(displayRaw); + } else { + holder.mathMarkdown.setVisibility(View.GONE); + holder.messageText.setVisibility(View.VISIBLE); + holder.messageText.setMovementMethod(LinkMovementMethod.getInstance()); + holder.messageText.setText(message.getParsedDisplayContent(context, false)); + } } else { - holder.response.setVisibility(View.GONE); + holder.response.setVisibility(holder.generatedImage.getVisibility() == View.VISIBLE ? View.VISIBLE : View.GONE); + holder.mathMarkdown.setVisibility(View.GONE); + holder.messageText.setVisibility(View.VISIBLE); + holder.messageText.setText(""); } return convertView; @@ -235,6 +279,8 @@ private static class SentViewHolder { private static class ReceivedViewHolder { TextView messageText; + MathMarkdownView mathMarkdown; + android.widget.ImageView generatedImage; TextView llm; LinearLayout thinkingLayout; ProgressBar noThinking; @@ -246,4 +292,45 @@ private static class ReceivedViewHolder { TextView readingUrls; View response; } -} \ No newline at end of file + + private Bitmap decodeGeneratedImage(String fileName, int maxDimension) { + FileInputStream input = null; + try { + input = context.openFileInput(fileName); + BitmapFactory.Options options = new BitmapFactory.Options(); + options.inJustDecodeBounds = true; + BitmapFactory.decodeStream(input, null, options); + input.close(); + input = null; + + int sample = 1; + while ((options.outWidth / sample) > maxDimension || + (options.outHeight / sample) > maxDimension) { + sample *= 2; + } + options.inJustDecodeBounds = false; + options.inSampleSize = sample; + input = context.openFileInput(fileName); + return BitmapFactory.decodeStream(input, null, options); + } catch (Exception ignored) { + return null; + } finally { + if (input != null) { + try { input.close(); } catch (IOException ignored) {} + } + } + } + + private void showGeneratedImage(String fileName) { + Bitmap image = decodeGeneratedImage(fileName, 1600); + if (image == null) return; + android.widget.ImageView view = new android.widget.ImageView(context); + view.setImageBitmap(image); + view.setAdjustViewBounds(true); + new AlertDialog.Builder(context) + .setTitle(R.string.gemini_generated_image) + .setView(view) + .setPositiveButton(android.R.string.ok, null) + .show(); + } +} diff --git a/app/src/main/java/io/github/gohoski/numai/util/Base64.java b/app/src/main/java/io/github/gohoski/numai/util/Base64.java index eb50196..ce71314 100644 --- a/app/src/main/java/io/github/gohoski/numai/util/Base64.java +++ b/app/src/main/java/io/github/gohoski/numai/util/Base64.java @@ -1,5 +1,7 @@ package io.github.gohoski.numai.util; +import java.io.ByteArrayOutputStream; + public class Base64 { private final static char[] ALPHABET = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/".toCharArray(); public static String encode(byte[] source) { @@ -40,5 +42,58 @@ public static String encode(byte[] source) { } return new String(out); - } private Base64() {} + } + + /** + * Decodes standard Base64 without relying on android.util.Base64, which is + * unavailable on the Android versions supported by numAi. + */ + public static byte[] decode(String source) { + if (source == null) { + return null; + } + + ByteArrayOutputStream output = new ByteArrayOutputStream((source.length() * 3) / 4); + int accumulator = 0; + int bits = 0; + + for (int i = 0; i < source.length(); i++) { + char c = source.charAt(i); + if (c == '=') { + break; + } + if (c == ' ' || c == '\n' || c == '\r' || c == '\t') { + continue; + } + + int value = decodeCharacter(c); + if (value < 0) { + throw new IllegalArgumentException("Invalid Base64 character"); + } + + accumulator = (accumulator << 6) | value; + bits += 6; + if (bits >= 8) { + bits -= 8; + output.write((accumulator >> bits) & 0xFF); + if (bits == 0) { + accumulator = 0; + } else { + accumulator &= (1 << bits) - 1; + } + } + } + return output.toByteArray(); + } + + private static int decodeCharacter(char c) { + if (c >= 'A' && c <= 'Z') return c - 'A'; + if (c >= 'a' && c <= 'z') return c - 'a' + 26; + if (c >= '0' && c <= '9') return c - '0' + 52; + if (c == '+') return 62; + if (c == '/') return 63; + return -1; + } + + private Base64() {} } diff --git a/app/src/main/res/layout/activity_main.xml b/app/src/main/res/layout/activity_main.xml index f2ab509..785528c 100644 --- a/app/src/main/res/layout/activity_main.xml +++ b/app/src/main/res/layout/activity_main.xml @@ -106,6 +106,16 @@ android:id="@+id/thinking" android:visibility="visible"/> + + - \ No newline at end of file + diff --git a/app/src/main/res/layout/activity_settings.xml b/app/src/main/res/layout/activity_settings.xml index 95c553c..520b9f1 100644 --- a/app/src/main/res/layout/activity_settings.xml +++ b/app/src/main/res/layout/activity_settings.xml @@ -70,6 +70,43 @@ android:layout_height="wrap_content" android:layout_marginBottom="8dp"/> + + + + + + + + +