#include "testform.h" #include "ui_testform.h" #include TestForm::TestForm(QWidget *parent) : QWidget(parent), ui(new Ui::TestForm) { ui->setupUi(this); ui->cmbTestset->addItem("simple relations", "$a{\\leq}b$, $a{\\geq}b$, $a{\\equiv}b$, $a=b$, $a{\\neq}b$, $ab$"); ui->cmbTestset->addItem("simple relations in different modes", "math: $a{\\leq}b$, math/no braces: $a\\leq b$, no math: a{\\leq}b, no math/no braces: a\\leq b"); ui->cmbTestset->addItem("named symbols 1", "ll: $\\ll$\\ gg: $\\gg$\\ leq: $\\leq$\\ geq: $\\geq$\\ pm: $\\pm$\\ mp: $\\mp$\\ "); ui->cmbTestset->addItem("named symbols 2", "nexists: $\\nexists$\\ ni: $\\ni$\\ notni: $\\notni$\\ circ: $\\circ$\\ sim: $\\sim$\\ emptyset: $\\emptyset$\\ odot: $\\odot$\\ ominus: $\\ominus$\\ subsetnot: $\\subsetnot$\\ bot: $\\bot$"); ui->cmbTestset->addItem("named symbols 3", "leftharpoonup: $\\leftharpoonup$\\ rightharpoonup: $\\rightharpoonup$\\ upharpoonleft: $\\upharpoonleft$\\ downharpoonleft: $\\downharpoonleft$\\ leftrightharpoon: $\\leftrightharpoon$\\ rightleftharpoon: $\\rightleftharpoon$"); ui->cmbTestset->addItem("named symbols 4", "coprod: $\\coprod$\\ leftharpoondown: $\\leftharpoondown$\\ rightharpoondown: $\\rightharpoondown$\\ upharpoonright: $\\upharpoonright$\\ downharpoonright: $\\downharpoonright$\\ nwarrow: $\\nwarrow$\\ nearrow: $\\nearrow$\\ "); ui->cmbTestset->addItem("named symbols 5", "searrow: $\\searrow$\\ swarrow: $\\swarrow$\\ mapsto: $\\mapsto$\\ div: $\\div$\\ multimap: $\\multimap$\\ maporiginal: $\\maporiginal$\\ mapimage: $\\mapimage$\\ "); ui->cmbTestset->addItem("named symbols 6", "times: $\\times$\\ propto: $\\propto$\\ bullet: $\\bullet$\\ neq: $\\neq$\\ ne: $\\ne$\\ equiv: $\\equiv$\\ approx: $\\approx$\\ otimes: $\\otimes$\\ oplus: $\\oplus$"); ui->cmbTestset->addItem("named symbols 7", "oslash: $\\oslash$\\ cap: $\\cap$\\ land: $\\land$\\ cup: $\\cup$\\ lor: $\\lor$\\ supset: $\\supset$\\ supseteq: $\\supseteq$\\ supsetnot: $\\supsetnot$\\ subset: $\\subset$"); ui->cmbTestset->addItem("named symbols 8", "subseteq: $\\subseteq$\\ in: $\\in$\\ notin: $\\notin$\\ cdot: $\\cdot$\\ wedge: $\\wedge$\\ vee: $\\vee$\\ cong: $\\cong$\\ bot: $\\bot$"); ui->cmbTestset->addItem("symbols", "$\\ll\\gg\\leq\\geq\\leftrightarrow\\leftarrow\\rightarrow\\to\\uparrow\\downarrow\\updownarrow\\Leftrightarrow\\iff\\Leftarrow\\Rightarrow\\Uparrow\\Downarrow\\Updownarrow\\pm\\mp\\nexists\\ni\\notni\\circ\\sim\\emptyset\\odot\\ominus\\subsetnot\\bot\\leftharpoonup\\rightharpoonup\\upharpoonleft\\downharpoonleft\\leftrightharpoon\\rightleftharpoon\\coprod\\leftharpoondown\\rightharpoondown\\upharpoonright\\downharpoonright\\nwarrow\\nearrow\\searrow\\swarrow\\mapsto\\div\\multimap\\maporiginal\\mapimage\\times\\propto\\bullet\\neq\\ne\\equiv\\approx\\otimes\\oplus\\oslash\\cap\\land\\cup\\lor\\supset\\supseteq\\supsetnot\\subset\\subseteq\\in\\notin\\cdot\\wedge\\vee\\cong\\bot$"); ui->cmbTestset->addItem("std dev", "$\\sigma_x=\\sqrt{\\langle (x-\\langle x\\rangle)^2\\rangle}=\\sqrt{\\frac{1}{N-1}\\cdot\\left( \\sum_{i=1}^N{x_i}^2-\\frac{1}{N}\\cdot\\left(\\sum_{i=1}^Nx_i\\right)^2\\right)}$"); ui->cmbTestset->addItem("std dev 2", "$\\sigma_x=\\sqrt{\\langle (x-\\langle x\\rangle)^2\\rangle}=\\sqrt{\\frac{1}{N-1}\\cdot\\left( \\sum_{i=1}^Nx_i^2-\\frac{1}{N}\\cdot\\left(\\sum_{i=1}^Nx_i\\right)^2\\right)}$"); ui->cmbTestset->addItem("rotation matrix", "$\\mathrm{\\mathbf{M}}(\\alpha) = \\left(\\begin{matrix}\\cos(\\alpha)+n_x^2\\cdot (1-\\cos(\\alpha)) & n_x\\cdot n_y\\cdot (1-\\cos(\\alpha))-n_z\\cdot \\sin(\\alpha) & n_x\\cdot n_z\\cdot (1-\\cos(\\alpha))+n_y\\cdot \\sin(\\alpha)\\\\n_x\\cdot n_y\\cdot (1-\\cos(\\alpha))+n_z\\cdot \\sin(\\alpha) & \\cos(\\alpha)+n_y^2\\cdot (1-\\cos(\\alpha)) & n_y\\cdot n_z\\cdot (1-\\cos(\\alpha))-n_x\\cdot \\sin(\\alpha)\\\\n_z\\cdot n_x\\cdot (1-\\cos(\\alpha))-n_y\\cdot \\sin(\\alpha) & n_z\\cdot n_y\\cdot (1-\\cos(\\alpha))+n_x\\cdot \\sin(\\alpha) & \\cos(\\alpha)+n_z^2\\cdot (1-\\cos(\\alpha))\\end{matrix}\\right)$"); ui->cmbTestset->addItem("like in label at bottom (no MM)", "\\left(\\left[\\sqrt{2\\pi\\cdot\\int_{-\\infty}^\\infty f(x)\\;\\mathrm{d}x}\\right]\\right)"); ui->cmbTestset->addItem("like in label at bottom (MM)", "$\\left(\\left[\\sqrt{2\\pi\\cdot\\int_{-\\infty}^\\infty f(x)\\;\\mathrm{d}x}\\right]\\right)$"); ui->cmbTestset->addItem("text 0", "text"); ui->cmbTestset->addItem("text 1", "text \\mathbf{bold}"); ui->cmbTestset->addItem("text 2", "text \\mathbf{bold}\\textcolor{red}{RED}"); ui->cmbTestset->addItem("decoration", "$\\vec{x}\\vec{X}\\vec{\\psi} -- \\dot{x}\\dot{X}\\dot{\\psi} -- \\ddot{x}\\ddot{X}\\ddot{\\psi} -- \\overline{x}\\overline{X}\\overline{\\psi} -- \\underline{x}\\underline{X}\\underline{\\psi} -- \\hat{x}\\hat{X}\\hat{\\psi} -- \\tilde{x}\\tilde{X}\\tilde{\\psi} -- \\uul{x}\\uul{X}\\uul{\\psi} -- \\ool{x}\\ool{X}\\ool{\\psi} -- \\bar{x}\\bar{X}\\bar{\\psi} -- \\arrow{x}\\arrow{X}\\arrow{\\psi}$"); ui->cmbTestset->addItem("mathtest", "This is normal text: $this is math:\\langle r^2(\\tau)\\rangle=\\left\\langle (\\vec{r}(t)-\\vec{r}(t+\\tau) )^2\\right\\rangle\\ \\ \\ g(\\tau)=\\frac{1}{N}\\cdot\\left(1+\\frac{2}{3}\\frac{\\langle r^2(\\tau)\\rangle}{w_{xy}^2}\\right)^{-1} \\lfloor\\rfloor\\lceil\\rceil\\langle\\rangle\\left\\{\\va\\left|\\|\\va\\|_2\\geq2\\right.\\right\\} \\vr\\vR\\frac{\\sqrt{\\sqrt{\\sqrt{\\sum_{i=0}^\\infty \\hat{i}^2}+y^\\alpha}+1}}{\\dot{v}\\equiv\\ddot{r}}\\argmin_{\\vec{k}}\\sum_{\\sqrt{i}=0}^{N}\\int_{x_0}^{x_1}\\left(\\left(\\left(x\\right)\\right)\\right)\\underbrace{\\left[\\left\\{\\frac{\\partial f}{\\partial x}\\right\\}\\cdot\\frac{1}{2}\\right]}{\\text{underbraced text \\hbar}}\\cdots\\frac{\\sqrt{\\sum_{i=0}^2 \\hat{i}^2}+y^\\alpha}{\\dot{v}\\equiv\\ddot{r}}, \\hat{t}\\hat{T} \\overbrace{\\left|\\sqrt{x\\cdot Y}\\right|}{\\propto\\bbN\\circ\\bbZ} \\left<\\arrow{x(\\tau)}\\cdot\\vec{R}(t+\\bar{\\tau})\\right> \\alpha\\beta\\gamma\\delta\\epsilon\\Gamma\\Delta\\Theta\\Omega \\left\\_\\left~\\cbrt{\\hbar\\omega}\\right~\\right\\_$"); ui->cmbTestset->addItem("upper/lower parantheses test:", "$\\text{bblabla} \\frac{1}{2}\\cdot\\left(\\frac{1}{\\mathrm{e}^x+\\mathrm{e}^{-x}}\\right)\\cdot\\left(\\frac{1}{\\frac{1+2}{5+x}}\\right)\\cdot\\left(\\frac{1}{\\exp\\left[-\\frac{y^2}{\\sqrt{x}}\\right]\\cdot\\exp\\left[-\\frac{1}{\\frac{1}{2}}\\right]}\\right) $"); ui->cmbTestset->addItem("ACF test", "$g_{rg}^{ab}(\\tau)=\\frac{1}{N}\\cdot\\left(1+\\frac{2}{3}\\frac{\\langle r^2(\\tau)\\rangle}{w_{xy}^2}\\right)^{-1}\\cdot\\left(1+\\frac{2}{3}\\frac{\\langle r^2(\\tau)\\rangle}{w_{xy}^2}\\right)^{-\\frac{1}{2}}$"); ui->cmbTestset->addItem("MSD test", "$\\mathrm{MSD}(\\tau)\\equiv\\langle r^2(\\tau)\\rangle=\\left\\langle (\\vec{r}(t)-\\vec{r}(t+\\tau) )^2\\right\\rangle=2n\\cdot\\frac{K_\\alpha}{\\Gamma(1+\\alpha)}\\cdot\\tau^\\alpha$"); ui->cmbTestset->addItem("f() test", "$f(\\vec{x})=\\frac{1}{\\sqrt{2\\pi\\cdot\\sigma^2}}\\exp\\left(-\\frac{(\\vec{x}-\\vec{x}_0)^2}{\\sigma^2}\\right)$"); ui->cmbTestset->addItem("chi^2 test", "$\\vec{p}^\\ast=\\argmax\\limits_{\\vec{p}}\\chi^2=\\argmax\\limits_{\\vec{p}}\\sum\\limits_{i=1}^N\\left|\\frac{\\hat{f}_i-f(x_i;\\vec{p})}{\\sigma_i}\\right|^2$"); ui->cmbTestset->addItem("symbol test", "\\vdots\\cdots\\ddots\\iddots\\lfloor\\rfloor\\lceil\\rceil\\langle\\rangle\\sum\\int \\iint \\oint \\prod \\leftrightarrow \\leftarrow\\Leftarrow\\rightarrow\\Rightarrow\\pm\\mp\\leq\\geq\\ll\\gg\\hbar\\euro\\bbC\\bbH\\bbN\\bbP\\bbQ\\bbZ\\bbR\\Angstrom\\Alef\\Bet\\Gimel\\Dalet\\nexists\\ni\\notni\\circ\\tilde\\oiint\\oiiint\\emptyset\\odot\\ominus\\subsetnot\\DC\\bot\\cdots\\perthousand\\leftharpoonup\\rightharpoonup \\upharpoonleft \\downharpoonleft \\leftrightharpoon \\rightleftharpoon \\coprod \\leftharpoondown \\rightharpoondown \\nwarrow \\nearrow \\mapsto \\cent \\pound \\yen \\div \\multimap \\maporiginal \\mapimage \\bigcap \\bigcup \\benzene \\times \\cdot \\propto \\equiv \\Im \\Re \\ "); ui->cmbTestset->addItem("arrowtest 1", "$\\leftarrow \\longleftarrow \\Leftarrow \\Longleftarrow \\rightarrow \\longrightarrow \\Rightarrow \\Longrightarrow \\uparrow \\Uparrow \\downarrow \\Downarrow \\leftrightarrow \\Leftrightarrow \\longleftrightarrow \\Longleftrightarrow$"); ui->cmbTestset->addItem("arrowtest 2", "$\\nwarrow \\nearrow \\searrow \\swarrow \\mapsto \\leftharpoonup \\rightharpoonup \\upharpoonleft \\downharpoonleft \\leftrightharpoon \\rightleftharpoon \\leftharpoondown \\rightharpoondown \\upharpoonright \\downharpoonright $"); ui->cmbTestset->addItem("math: blackboard", "$\\mathbb{ABCDEFGHIJKLMNOPQRSTUVWXYZ120}$"); ui->cmbTestset->addItem("math: bf", "$\\mathbf{ABCDEFGHIJKLMNOPQRSTUVWXYZ120}$"); ui->cmbTestset->addItem("math: rm", "$\\mathrm{ABCDEFGHIJKLMNOPQRSTUVWXYZ120}$"); ui->cmbTestset->addItem("math: cal", "$\\mathcal{ABCDEFGHIJKLMNOPQRSTUVWXYZ120}$"); ui->cmbTestset->addItem("subscript test", "$r_{123}\\ \\ r_{\\frac{1}{2}}$"); ui->cmbTestset->addItem("subscript0 test", "$r_{123}$"); ui->cmbTestset->addItem("subscript1 test", "$r_{123}\\ $"); ui->cmbTestset->addItem("subscript2 test", "$r_{123}\\ \\ $"); ui->cmbTestset->addItem("subscript3 test", "$r_{123}r_{\\frac{1}{2}}$"); ui->cmbTestset->addItem("superscript test", "$r^{123}\\ \\ r^{\\frac{1}{2}}$"); ui->cmbTestset->addItem("superscript0 test", "$r^{123}$"); ui->cmbTestset->addItem("superscript1 test", "$r^{123}\\ $"); ui->cmbTestset->addItem("superscript2 test", "$r^{123}\\ \\ $"); ui->cmbTestset->addItem("superscript3 test", "$r^{123}r^{\\frac{1}{2}}$"); ui->cmbTestset->addItem("asuperscript test", "$a^{123}\\ \\ a^{\\frac{1}{2}}$"); ui->cmbTestset->addItem("asuperscript0 test", "$a^{123}$"); ui->cmbTestset->addItem("gsuperscript1 test", "$g^{123}\\ $"); ui->cmbTestset->addItem("gsuperscript2 test", "$g^{123}\\ \\ $"); ui->cmbTestset->addItem("gsuperscript3 test", "$g^{123}g^{\\frac{1}{2}}$"); ui->cmbTestset->addItem("frac test", "$\\frac{a}{b}+\\frac{g}{a}-\\frac{a^2}{b^2}\\cdot\\frac{a^2}{b^{\\frac{1}{2}}}$"); ui->cmbTestset->addItem("tfrac test", "$\\tfrac{a}{b}+\\tfrac{g}{a}-\\tfrac{a^2}{b^2}\\cdot\\tfrac{a^2}{b^{\\tfrac{1}{2}}}$"); ui->cmbTestset->addItem("dfrac test", "$\\dfrac{a}{b}+\\dfrac{g}{a}-\\dfrac{a^2}{b^2}\\cdot\\dfrac{a^2}{b^{\\dfrac{1}{2}}}$"); ui->cmbTestset->addItem("stackrel test", "$\\stackrel{a}{b}+\\stackrel{g}{a}-\\stackrel{a^2}{b^2}\\cdot\\stackrel{a^2}{b^{\\stackrel{1}{2}}}$"); ui->cmbTestset->addItem("brace0 test", "\\langle\\langle -- $\\langle\\langle$"); ui->cmbTestset->addItem("brace1 test", "\\langle\\langle r^{123} -- $\\langle\\langle r^{123}$"); ui->cmbTestset->addItem("brace2 test", "\\langle\\langle r^{123}\\rangle\\rangle -- $\\langle\\langle r^{123}\\rangle\\rangle$"); ui->cmbTestset->addItem("brace3 test", "\\left\\langle r^{123}\\right\\rangle -- $\\left\\langle r^{123}\\right\\rangle$"); ui->cmbTestset->addItem("brace4 test", "\\left\\langle\\left\\langle\\left\\langle r^{123}\\right\\rangle\\right\\rangle\\right\\rangle -- $\\left\\langle\\left\\langle\\left\\langle r^{123}\\right\\rangle\\right\\rangle\\right\\rangle$"); ui->cmbTestset->addItem("brace5 test: ( )", "\\left(\\left(\\left( r^{123}\\right)\\right)\\right) -- $\\left(\\left(\\left( r^{123}\\right)\\right)\\right)$"); ui->cmbTestset->addItem("brace6 test: [ ]", "\\left[\\left[\\left[ r^{123}\\right]\\right]\\right] -- $\\left[\\left[\\left[ r^{123}\\right]\\right]\\right]$"); ui->cmbTestset->addItem("brace7 test: { }", "\\left\\{\\left\\{\\left\\{ r^{123}\\right\\}\\right\\}\\right\\} -- $\\left\\{\\left\\{\\left\\{ r^{123}\\right\\}\\right\\}\\right\\}$"); ui->cmbTestset->addItem("brace8 test: || ||", "\\left\\|\\left\\|\\left\\| r^{123}\\right\\|\\right\\|\\right\\| -- $\\left\\|\\left\\|\\left\\| r^{123}\\right\\|\\right\\|\\right\\|$"); ui->cmbTestset->addItem("brace9 test: | |", "\\left|\\left|\\left| r^{123}\\right|\\right|\\right| -- $\\left|\\left|\\left| r^{123}\\right|\\right|\\right|$"); ui->cmbTestset->addItem("brace10 test", "\\left\\{\\left[\\left( r^{123}\\right)\\right]\\right\\} -- $\\left\\{\\left[\\left( r^{123}\\right)\\right]\\right\\}$"); ui->cmbTestset->addItem("brace11 test: floor", "\\left\\lfloor\\left\\lfloor\\left\\lfloor r^{123}\\right\\rfloor\\right\\rfloor\\right\\rfloor -- $\\left\\lfloor\\left\\lfloor\\left\\lfloor r^{123}\\right\\rfloor\\right\\rfloor\\right\\rfloor$"); ui->cmbTestset->addItem("brace12 test: ceil", "\\left\\lceil\\left\\lceil\\left\\lceil r^{123}\\right\\rceil\\right\\rceil\\right\\rceil -- $\\left\\lceil\\left\\lceil\\left\\lceil r^{123}\\right\\rceil\\right\\rceil\\right\\rceil$"); ui->cmbTestset->addItem("sub-, superscript test", "r^{1234}_{321} r_{321}^{1234} -- $r^{1234}_{321} r_{321}^{1234} -- \\kappa^2 -- \\kappa_2 -- \\kappa_2^2$"); ui->cmbTestset->addItem("super-, subscript test", "r^{123}_{4321} r_{4321}^{123} -- $r^{123}_{4321} r_{4321}^{123} -- \\kappa^2 -- \\kappa_2 -- \\kappa_2^2$"); //ui->cmbTestset->addItem("", ""); ui->cmbTestset->addItem("math 1", "$f(x)=\\int_{-\\infty}^xe^{-t^2}\\;\\mathrm{d}t$"); ui->cmbTestset->addItem("math 2", "$\\sum_{i=1}^\\infty\\frac{-e^{i\\pi}}{2^n}$"); ui->cmbTestset->addItem("math 3", "$\\mbox{det} \\begin{pmatrix} 1 & x_1 & \\ldots & x_1^{n-1} \\\\ 1 & x_2 & \\ldots & x_2^{n-1} \\\\ \\vdots & \\vdots & \\ddots & \\vdots \\\\ 1 & x_n & \\ldots & x_n^{n-1} \\end{pmatrix} = \\prod_{1 \\leq i < j \\leq n} (x_j - x_i) $"); ui->cmbTestset->addItem("math 4", "$\\sqrt{1+\\sqrt{1+\\sqrt{1+\\sqrt{1+\\sqrt{1+\\sqrt{1+x}}}}}}$"); ui->cmbTestset->addItem("math 5", "$\\left(\\stackrel{p}{2}\\right)=x^2y^{p-2}-\\frac{1}{1-x}\\frac{1}{1-x^2}$"); ui->cmbTestset->addItem("math 6", "$a_0+\\frac{1}{a_1+\\frac{1}{a_2+\\frac{1}{a_3+\\frac{1}{a_4}}}}$"); ui->cmbTestset->addItem("math 7", "$\\left(\\frac{\\partial^2}{\\partial x^2}+\\frac{\\partial^2}{\\partial y^2}\\right)\\left|\\varphi(x+\\mathrm{i}y)\\right|^2=0$"); ui->cmbTestset->addItem("math 8", "$2^{2^{2^{x}}}$"); ui->cmbTestset->addItem("math 9", "$\\iint_Df(x,y)\\;\\mathrm{d}x\\;\\mathrm{d}y$"); ui->cmbTestset->addItem("math 10 (overbrace)", "$\\overbrace{x+x+...+x}{k\\ \\mathrm{times}}$"); ui->cmbTestset->addItem("math 11 (underbrace)", "$\\underbrace{x+x+...+x}{k\\ \\mathrm{times}}$"); ui->cmbTestset->addItem("math 12 (under/overbrace)", "$\\underbrace{\\overbrace{x+x+...+x}{k\\ \\mathrm{times}} \\overbrace{x+x+...+x}{k\\ \\mathrm{times}}}{2k\\ \\mathrm{times}}$"); ui->cmbTestset->addItem("math 13", "$y_1''\\ \\ \\ y_2'''$"); ui->cmbTestset->addItem("math 14", "$f(x)=\\begin{cases} 1/3 & \\mathrm{if}\\ 0\\leq x\\leq1 \\\\ 2/3 & \\mathrm{if}\\ 3\\leq x\\leq4 \\\\0 & \\mathrm{elsewhere} \\end{cases}$"); ui->cmbTestset->addItem("math 15", "$\\Re{z} =\\frac{n\\pi \\dfrac{\\theta +\\psi}{2}}{\\left(\\dfrac{\\theta +\\psi}{2}\\right)^2 + \\left( \\dfrac{1}{2}\\log \\left\\lvert\\dfrac{B}{A}\\right\\rvert\\right)^2}.$"); ui->cmbTestset->addItem("math 16", "$\\sum_{m=1}^\\infty\\sum_{n=1}^\\infty\\frac{m^2\\,n}{3^m\\left(m\\,3^n+n\\,3^m\\right)}$"); ui->cmbTestset->addItem("math 17", "$\\phi_n(\\kappa) =\\frac{1}{4\\pi^2\\kappa^2} \\int_0^\\infty\\frac{\\sin(\\kappa R)}{\\kappa R}\\frac{\\partial}{\\partial R}\\left[R^2\\frac{\\partial D_n(R)}{\\partial R}\\right]\\,dR$"); ui->cmbTestset->addItem("math 18", "${}_pF_q(a_1,\\dots,a_p;c_1,\\dots,c_q;z)= \\sum_{n=0}^\\infty\\frac{(a_1)_n\\cdots(a_p)_n}{(c_1)_n\\cdots(c_q)_n}\\frac{z^n}{n!}$"); ui->cmbTestset->addItem("math 19 (overset)", "$X \\overset{=}{def} Y$\\ \\ \\ \\ \\ $X \\overset{=}{!} Y$\\ \\ \\ \\ \\ $X \\overset{\\rightarrow}{f} Y$\\ \\ \\ \\ \\ $\\frac{f(x+\\Delta x)-f(x)}{\\Delta x}\\overset{\\longrightarrow}{\\Delta x\\to 0}f'(x)$"); ui->cmbTestset->addItem("math 20 (underset)", "$X \\underset{=}{\\text{def (5)}} Y$\\ \\ \\ \\ \\ $X \\underset{\\rightarrow}{f} Y$\\ \\ \\ \\ \\ $\\frac{f(x+\\Delta x)-f(x)}{\\Delta x}\\underset{\\longrightarrow}{\\Delta x\\to 0}f'(x)$"); ui->cmbTestset->addItem("Jacobi Matrix and VarCov matrix", "$J_{ij}= \\left.\\frac{\\partial f(x,\\vec{p})}{\\partial p_i}\\right|_{\\vec{p},x=x_j}\\ \\ \\ \\ \\ \\mat{C}=\\left(\\mat{J}^\\mathrm{T}\\ J\\right)^{-1}\\ \\ \\ \\ \\ test: \\left|\\frac{\\partial f(x,\\vec{p})}{\\partial p_i}\\right|_{\\vec{p},x=x_j}^2$"); ui->cmbTestset->addItem("operator test (textmode)", "x=0\\ \\ y>0\\ \\ x+y\\ \\ -1\\ \\ x-2\\ \\ x\\cdot y\\ \\ x\\geq 4\\ \\ x~4"); ui->cmbTestset->addItem("operator test (mathmode)", "$x=0\\ \\ y>0\\ \\ x+y\\ \\ -1\\ \\ x-2\\ \\ x\\cdot y\\ \\ x\\geq 4\\ \\ x~4$"); ui->cmbTestset->addItem("color test", "\\textcolor{red}{RED}\\textcolor{blue}{BLUE}"); ui->cmbTestset->addItem("boxed test", "test: \\boxed{boxed text} in the middle"); ui->cmbTestset->addItem("mathboxed test", "\\fbox{2^{2^{\\colorbox{red}{2^{x}}}}}"); ui->cmbTestset->addItem("axiom of power test", "$\\forall A \\, \\exists P \\, \\forall B \\, [B \\in P \\iff \\forall C \\, (C \\in B \\Rightarrow C \\in A)]$"); ui->cmbTestset->addItem("De Morgan's law", "$\\neg(P\\land Q)\\iff(\\neg P)\\lor(\\neg Q)$ or $\\overline{\\bigcap_{i \\in I} A_{i}}\\equiv\\bigcup_{i \\in I} \\overline{A_{i}}$ or $\\overline{A \\cup B}\\equiv\\overline{A} \\cap \\overline{B}$"); ui->cmbTestset->addItem("quadratic formula", "$x=\\frac{-b \\pm \\sqrt{b^2-4ac}}{2a}$"); ui->cmbTestset->addItem("combination", "$\\binom{n}{k} = \\frac{n(n-1)...(n-k+1)}{k(k-1)\\dots1}=\\frac{n!}{k!(n-k)!}$"); ui->cmbTestset->addItem("Sophomore's dream 1", "$\\int_0^1 x^{-x}\\,dx = \\sum_{n=1}^\\infty n^{-n}(\\scriptstyle{= 1.29128599706266354040728259059560054149861936827\\dots)}$"); ui->cmbTestset->addItem("Sophomore's dream 2", "$\\int_0^1 x^x \\,dx = \\sum_{n=1}^\\infty (-1)^{n+1}n^{-n} = - \\sum_{n=1}^\\infty (-n)^{-n} (\\scriptstyle{= 0.78343051071213440705926438652697546940768199014\\dots})$"); ui->cmbTestset->addItem("divergence 1", "$\\operatorname{div}\\vec{F} = \\nabla\\cdot\\vec{F}=\\frac{\\partial U}{\\partial x}+\\frac{\\partial V}{\\partial y}+\\frac{\\partial W}{\\partial z}$"); ui->cmbTestset->addItem("divergence 2", "$\\overrightarrow{\\operatorname{div}}\\,(\\mathbf{\\underline{\\underline{\\epsilon}}}) = " "\\begin{bmatrix}" "\\frac{\\partial \\epsilon_{xx}}{\\partial x} +\\frac{\\partial \\epsilon_{yx}}{\\partial y} +\\frac{\\partial \\epsilon_{zx}}{\\partial z} \\\\" "\\frac{\\partial \\epsilon_{xy}}{\\partial x} +\\frac{\\partial \\epsilon_{yy}}{\\partial y} +\\frac{\\partial \\epsilon_{zy}}{\\partial z} \\\\" "\\frac{\\partial \\epsilon_{xz}}{\\partial x} +\\frac{\\partial \\epsilon_{yz}}{\\partial y} +\\frac{\\partial \\epsilon_{zz}}{\\partial z}" "\\end{bmatrix}$"); ui->cmbTestset->addItem("lim, sum ...", "$\\lim_{x\\to\\infty} f(x) = \\binom{k}{r} + \\frac{a}{b} \\sum_{n=1}^\\infty a_n + \\displaystyle{ \\left\\{ \\frac{1}{13} \\sum_{n=1}^\\infty b_n \\right\\} }.$"); ui->cmbTestset->addItem("array test", "$f(x) := \\left\\{\\begin{array} x^2 \\sin \\frac{1}{x} & \\textrm{if } x \\ne 0, \\\\ 0 & \\textrm{if } x = 0 . \\end{array}\\right.$"); ui->cmbTestset->addItem("Schwinger-Dyson", "$\\left\\langle\\psi\\left|\\mathcal{T}\\{F \\phi^j\\}\\right|\\psi\\right\\rangle=\\left\\langle\\psi\\left|\\mathcal{T}\\{iF_{,i}D^{ij}-FS_{int,i}D^{ij}\\}\\right|\\psi\\right\\rangle.$"); ui->cmbTestset->addItem(QLatin1String("Schrödinger's equation"), "$\\left[-\\frac{\\hbar^2}{2m}\\frac{\\partial^2}{\\partial x^2}+V\\right]\\Psi(x)=\\mathrm{i}\\hbar\\frac{\\partial}{\\partial t}\\Psi(x)$"); ui->cmbTestset->addItem("Cauchy-Schwarz inequality", "$\\left( \\sum_{k=1}^n a_k b_k \\right)^2 \\leq \\left( \\sum_{k=1}^n a_k^2 \\right) \\left( \\sum_{k=1}^n b_k^2 \\right)$"); ui->cmbTestset->addItem("Maxwell's equations", "$\\begin{aligned}\\nabla \\times \\vec{\\mathbf{B}} -\\, \\frac{1}{c}\\, \\frac{\\partial\\vec{\\mathbf{E}}}{\\partial t} & = \\frac{4\\pi}{c}\\vec{\\mathbf{j}} \\\\ \\nabla \\cdot \\vec{\\mathbf{E}} & = 4 \\pi \\rho \\\\\\nabla \\times \\vec{\\mathbf{E}}\\, +\\, \\frac{1}{c}\\, \\frac{\\partial\\vec{\\mathbf{B}}}{\\partial t} & = \\vec{\\mathbf{0}} \\\\\\nabla \\cdot \\vec{\\mathbf{B}} & = 0 \\end{aligned}$"); ui->cmbTestset->addItem("Langevin Equation", "$m \\dot{v}(t) = -\\gamma v(t) + F(x,t)+ f(t)$"); ui->cmbTestset->addItem("Fokker-Planck Equation", "$\\frac{\\partial}{\\partial t}P(y,t)=-\\frac{\\partial}{\\partial y}\\left[ A(y,t)P(y,t)\\right] +\\frac{\\Gamma}{2}\\frac{\\partial^2}{\\partial y^2}\\left[ P(y,t)\\right]$"); ui->cmbTestset->addItem("Hamilton Equations of motion", "$\\mathcal{H}(\\mathbf{q},\\mathbf{p})=\\frac{\\mathbf{p}^2}{2\\,m}+V(\\mathbf{q})\\ \\ \\ \\text{and}\\ \\ \\ \\dot{q}_k =\\frac{p_k}{m}\\ ,\\ \\dot{p}_k = - \\frac{\\partial V}{\\partial q_k}$"); ui->cmbTestset->addItem("Gaussian Distrubution", "$f(x | \\mu,\\sigma^2)=\\frac{1}{\\sqrt{2\\pi\\sigma^2}}\\operatorname{exp}\\left(-\\frac{(x-\\mu)^2}{2\\sigma^2}\\right)=\\frac{1}{\\sqrt{2\\pi\\sigma^2}} e^{-\\frac{(x-\\mu)^2}{2\\sigma^2}}\\quad -\\inftycmbTestset->addItem("User-Editable Text"); // //ui->cmbTestset->addItem("", "$$"); //ui->cmbTestset->addItem("", "$$"); //ui->cmbTestset->addItem("", ""); ui->cmbTestset->setCurrentIndex(0); ui->labMath->setMath("\\left(\\left[\\sqrt{2\\pi\\cdot\\int_{-\\infty}^\\infty f(x)\\;\\mathrm{d}x}\\right]\\right)"); ui->cmbFont->setCurrentIndex(1); } TestForm::~TestForm() { delete ui; } #define W 2000 #define H 2000 #define X1 15 #define Y1 50 double TestForm::draw(QPainter& painter, double X, double YY, JKQTMathText& mt, QString name, double& durationSizingMS, double&durationTimingMS) { double Y=YY; painter.save(); ht.start(); QSizeF s=mt.getSize(painter); Y=Y+mt.getAscent(painter); durationSizingMS=ht.get_time()/1000.0; qDebug()<<" sizing in "<chkBoxes->isChecked()); durationTimingMS=ht.get_time()/1000.0; qDebug()<<" drawing in "<get_decoration())); if (decoN->get_child()) ti->addChild(createTree(decoN->get_child(), ti)); } else if (matrixN) { int l=matrixN->get_lines(); int c=matrixN->get_columns(); name=QString("MTmatrixNode: l*c=%1*%2").arg(l).arg(c); QVector > children=matrixN->get_children(); for (int y=0; ysetText(0, QString("(%1,%2):").arg(y).arg(x)+it->text(0)); ti->addChild(it); } } } } else if (fracN) { name=QString("MTfracNode: mode='%1'").arg(JKQTMathText::fracModeToString(fracN->get_mode())); if (fracN->get_child1()) ti->addChild(createTree(fracN->get_child1(), ti)); if (fracN->get_child2()) ti->addChild(createTree(fracN->get_child2(), ti)); } else if (sqrtN) { name=QString("MTsqrtNode: deg=%1").arg(sqrtN->get_degree()); if (sqrtN->get_child()) ti->addChild(createTree(sqrtN->get_child(), ti)); } else if (braceN) { name=QString("MTbraceNode: l='%1', r='%2', showR=%3").arg(braceN->get_openbrace()).arg(braceN->get_closebrace()).arg(braceN->get_showRightBrace()); if (braceN->get_child()) ti->addChild(createTree(braceN->get_child(), ti)); } else if (superN) { name=QString("MTsuperscriptNode"); if (superN->get_child()) ti->addChild(createTree(superN->get_child(), ti)); } else if (subN) { name=QString("MTsubscriptNode"); if (subN->get_child()) ti->addChild(createTree(subN->get_child(), ti)); } else if (inst1N) { name=QString("MTinstruction1Node: \'%1\'").arg(inst1N->get_name()); if (inst1N->get_child()) ti->addChild(createTree(inst1N->get_child(), ti)); } else if (lstN) { name=QString("MTlistNode"); QList list=lstN->get_nodes(); for (int i=0; iaddChild(createTree(list[i], ti)); } } else if (symN) { name=QString("MTsymbolNode: \'%1\'").arg(symN->get_symbolName()); } else if (spN) { name=QString("MTwhitespaceNode :\'%1\'").arg(txtN->get_text()); } else if (txtN) { name=QString("MTtextNode: \'%1\'").arg(txtN->get_text()); } else { name=QString("unknown"); } ti->setText(0,name); /* QString space=""; QTreeWidgetItem* p=ti->parent(); while (p) { space+=" "; p=p->parent(); } qDebug()<cmbTestset->currentIndex()==ui->cmbTestset->count()-1) { mathTest=ui->textBrowserSource->toPlainText(); ui->textBrowserSource->setReadOnly(false); ui->btnRender->setEnabled(true); } else { mathTest=ui->cmbTestset->itemData(ui->cmbTestset->currentIndex()).toString(); ui->textBrowserSource->setPlainText(mathTest); ui->textBrowserSource->setReadOnly(true); ui->btnRender->setEnabled(false); } ui->scrollArea->setBackgroundRole(QPalette::Dark); QPixmap pix(W, H); pix.fill(); QPainter painter; JKQTMathText mt(this); double Y=Y1; painter.begin(&pix); if (ui->chkAntiAlias->isChecked()) painter.setRenderHint(QPainter::Antialiasing); if (ui->chkAntiAliasHQ->isChecked()) painter.setRenderHint(QPainter::HighQualityAntialiasing); if (ui->chkAntiAliasText->isChecked()) painter.setRenderHint(QPainter::TextAntialiasing); if (ui->chkSmoothTransform->isChecked()) painter.setRenderHint(QPainter::QPainter::SmoothPixmapTransform); ht.start(); mt.set_fontRoman(ui->cmbUnicodeSerif->currentFont().family()); mt.set_fontMathRoman(ui->cmbUnicodeSerif->currentFont().family()); mt.set_fontSans(ui->cmbUnicodeSans->currentFont().family()); mt.set_fontMathSans(ui->cmbUnicodeSans->currentFont().family()); mt.set_fontTypewriter(ui->cmbUnicodeFixed->currentFont().family()); mt.set_fontSymbol(ui->cmbUnicodeSymbol->currentFont().family()); switch (ui->cmbFont->currentIndex()) { case 1: mt.useXITS(); break; case 2: mt.useSTIX(); break; case 3: mt.useAnyUnicode(ui->cmbUnicodeSans->currentFont().family(),ui->cmbUnicodeSerif->currentFont().family()); break; case 4: mt.useLatexFonts(ui->edtLatexPrefix->text(), ui->edtLatexPostfix->text()); break; case 5: mt.useASANA(); break; } ui->tree->clear(); ht.start(); double durationParse=0; if (mt.parse(mathTest)) { durationParse=ht.get_time()/1000.0; ui->tree->addTopLevelItem(createTree(mt.get_parsedNode())); } else { durationParse=ht.get_time()/1000.0; } ui->labParsingTimes->setText(QString(" %1ms").arg(durationParse, 0, 'f', 3)); ui->tree->expandAll(); bool okh=true; ui->textBrowser->clear(); qDebug()<<"parse mathTest in "<edtSizes->text().split(","); ui->labRenderTimes->setText(""); for (int i=0; icmbTestset->currentText()).arg(ui->cmbFont->currentText()).arg(size), durationSizingMS, durationTimingMS); if (i==0) { if (mt.get_error_list().size()>0) { ui->labError->setText(""+mt.get_error_list().join("
")+"
"); } else { ui->labError->setText("OK"); } } ui->labRenderTimes->setText(ui->labRenderTimes->text()+QString(" %1pt: %2ms/%3ms").arg(size).arg(durationSizingMS, 0, 'F', 1).arg(durationTimingMS, 0, 'F', 1)); ui->textBrowser->textCursor().insertHtml("
"+mt.toHtml(&okh)+"


"); qDebug()<<"HTML: ---------------------------------------------\n"<label->setPixmap(pix); QApplication::restoreOverrideCursor(); }