def RenderAnyFunction(xleft,xright,ybot,ytop,functionLatex,functionExpr):
deltaxStr = '(' + str(xright) + "-" + str(xleft) + ')/10'
deltayStr = '(' + str(ytop) + "-" + str(ybot) + ')/10'
detalx = parse_expr(deltaxStr).evalf()
if (detalx < 0.5):
detalx = 0.5
else:
detalx = int(round(parse_expr(deltaxStr).evalf()))
detaly = parse_expr(deltayStr).evalf()
if (detaly < 0.5):
detaly = 0.5
else:
detaly = int(round(parse_expr(deltayStr).evalf()))
tex = '\\documentclass[preview]{standalone}'
tex += '\\usepackage[hmargin = 0cm, vmargin = 0cm]{geometry}'
tex += '\\usepackage{tikz}'
tex += '\\usepackage{pgfplots}'
tex += '\\begin{document}'
tex += '\\begin{figure}[h!tbp]'
tex += '\\centering'
tex += '\\begin{tikzpicture}'
tex += '\\begin{axis}['
tex += 'height = 15cm,'
tex += 'domain=' + str(xleft) + ':' + str(xright) +','
tex += 'grid = major,'
tex += 'grid style = {dashed, gray!50},'
tex += 'axis lines = middle,'
tex += 'inner axis line style = {= >},'
tex += 'xlabel = {\\large $x$},'
tex += 'ylabel = {\\large $y$},'
tex += 'yticklabel style = {inner ysep = 0pt, anchor = south east},'
tex += 'xticklabel style= {inner xsep = 0pt, anchor = north west},'
tex += 'xtick = {'
tex += str(xleft) + ',' + str(xleft + detalx) + ', ..., ' + str(xright) + '},'
tex += 'ytick = {'
tex += str(ybot) + ',' + str(ybot + detaly) + ', ..., ' + str(ytop) + '},'
tex += 'ymin = ' + str(ybot - detaly) + ','
tex += 'ymax = ' + str(ytop + detaly) + ','
tex += 'xmin = ' + str(xleft - detalx) + ','
tex += 'xmax = ' + str(xright + detalx) + ','
tex += 'after end axis/.code = {\\path (axis cs: 0,0) node [anchor = north west, yshift = -0.075cm] {0};}]'
tex += '\\addplot[color = red, thick, domain=' + str(xleft) +':' + str(xright) + ',restrict y to domain =' + str(ybot) + ':'+ str(ytop) + ',samples = 201] {' + functionExpr + '};'
tex += '\\legend{$\\displaystyle ' + functionLatex + '$}'
tex += '\\end{axis}'
tex += '\\end{tikzpicture}'
tex +='\\end{figure}'
tex += '\\end{document}'
return tex2base64(tex)
def RenderTexQuadRationalLinear(arr_fig, xleft, xright, ytop, ybot,
functionLatex):
a = arr_fig[0]
b = arr_fig[1]
c = arr_fig[2]
d = arr_fig[3]
e = arr_fig[4]
alpha = arr_fig[5]
beta = arr_fig[6]
tcn = a / c
tcd = -d / c
Ix = -e / d
Iy = alpha * Ix + beta
if (Ix < 0):
xleft = int(floor(xleft)) - 2 * abs(Ix)
xright = int(ceiling(xright)) + abs(Ix)
else:
xleft = int(floor(xleft)) - abs(Ix)
xright = int(ceiling(xright)) + 2 * abs(Ix)
ytop = int(ceiling(ytop)) + abs(2 * Iy)
ybot = int(floor(ybot)) - abs(2 * Iy)
if (ybot > -2):
ybot = -2
if (ytop < 2):
ytop = 2
if xleft > -2:
xleft = -2
if xright < 2:
xright = 2
deltaxStr = '(' + str(xright) + "-" + str(xleft) + ')/10'
deltayStr = '(' + str(ytop) + "-" + str(ybot) + ')/10'
detalx = parse_expr(deltaxStr).evalf(3)
if (detalx < 0.5):
detalx = 0.5
else:
detalx = int(round(parse_expr(deltaxStr).evalf(3)))
detaly = parse_expr(deltayStr).evalf(3)
if (detaly < 0.5):
detaly = 0.5
else:
detaly = int(round(parse_expr(deltayStr).evalf(3)))
tex = '\\documentclass[preview]{standalone}'
tex += '\\usepackage[hmargin = 0cm, vmargin = 0cm]{geometry}'
tex += '\\usepackage{tikz}'
tex += '\\usepackage{pgfplots}'
tex += '\\begin{document}'
tex += '\\begin{figure}[h!tbp]'
tex += '\\centering'
tex += '\\begin{tikzpicture}'
tex += '\\begin{axis}['
tex += 'height = 15cm,'
tex += 'domain=' + str(xleft) + ':' + str(xright) + ','
tex += 'grid = major,'
tex += 'grid style = {dashed, gray!50},'
tex += 'axis lines = middle,'
tex += 'inner axis line style = {= >},'
tex += 'xlabel = {\\large $x$},'
tex += 'ylabel = {\\large $y$},'
tex += 'yticklabel style = {inner ysep = 0pt, anchor = south east},'
tex += 'xticklabel style= {inner xsep = 0pt, anchor = north west},'
tex += 'xtick = {'
tex += str(xleft) + ',' + str(xleft +
detalx) + ', ..., ' + str(xright) + '},'
tex += 'ytick = {'
tex += str(ybot) + ',' + str(ybot + detaly) + ', ..., ' + str(ytop) + '},'
tex += 'ymin = ' + str(ybot - detaly) + ','
tex += 'ymax = ' + str(ytop + detaly) + ','
tex += 'xmin = ' + str(xleft - detalx) + ','
tex += 'xmax = ' + str(xright + detalx) + ','
tex += 'after end axis/.code = {\\path (axis cs: 0,0) node [anchor = north west, yshift = -0.075cm] {0};}]'
tex += 'after end axis/.code = {\\path (axis cs: ' + str(Ix) + ',' + str(
Iy
) + ') node [anchor = south west, yshift = -0.075cm, xshift = 0.075cm] {I};}]'
tex += '\\addplot[color = red, thick, samples = 201] {(' + str(
a) + '*x*x + ' + str(b) + '*x+' + str(c) + ')/(' + str(
d) + '*x+' + str(e) + ')};'
tex += '\\legend{$' + functionLatex + '$}'
tex += '\\addplot[scatter, only marks,scatter src = explicit symbolic]'
tex += 'coordinates {(' + str(Ix) + ',' + str(Iy) + ')[a]};'
tex += '\\addplot[color = red, thick, samples = 201] {' + str(
alpha) + '*x+' + str(beta) + '};'
tex += '\\end{axis}'
tex += '\\end{tikzpicture}'
tex += '\\end{figure}'
tex += '\\end{document}'
return tex2base64(tex)
def RenderTexLinear(a,b,functionLatex):
x = parse_expr('-' + '(' + b + ')' + '/' + '(' + a + ')')
xright = xleft = int(round(abs(x.evalf()))) + 2
ytop = ybot = int(round(abs(parse_expr(b).evalf()))) + 2
# if (xright < 3):
# xright = xleft = 4
# if (ytop < 3):
# ytop = ybot = 4
deltaxStr = '(' + str(xright) + "+" + str(xleft) + ')/10'
deltayStr = '(' + str(ytop) + "+" + str(ybot) + ')/10'
detalx = parse_expr(deltaxStr).evalf()
if (detalx < 0.5):
detalx = 0.5
else:
detalx = int(round(parse_expr(deltaxStr).evalf()))
detaly = parse_expr(deltayStr).evalf()
if (detaly < 0.5):
detaly = 0.5
else:
detaly = int(round(parse_expr(deltayStr).evalf()))
tex = '\\documentclass[preview]{standalone}'
tex += '\\usepackage[hmargin = 0cm, vmargin = 0cm]{geometry}'
tex += '\\usepackage{tikz}'
tex += '\\usepackage{pgfplots}'
tex += '\\begin{document}'
tex += '\\begin{figure}[h!tbp]'
tex += '\\centering'
tex += '\\begin{tikzpicture}'
tex += '\\begin{axis}['
tex += 'scatter / classes = {a = {mark = square *, blue}},'
tex += 'height = 15cm,'
tex += 'domain=-' + str(xleft) + ':' + str(xright) +','
tex += 'grid = major,'
tex += 'grid style = {dashed, gray!50},'
tex += 'axis lines = middle,'
tex += 'inner axis line style = {= >},'
tex += 'xlabel = {\\large $x$},'
tex += 'ylabel = {\\large $y$},'
tex += 'yticklabel style = {inner ysep = 0pt, anchor = south east},'
tex += 'xticklabel style= {inner xsep = 0pt, anchor = north west},'
tex += 'xtick = {-'
tex += str(xleft) + ',-' + str(xleft - detalx) + ', ..., ' + str(xright) + '},'
tex += 'ytick = {-'
tex += str(ybot) + ',-' + str(ybot - detaly) + ', ..., ' + str(ytop) + '},'
tex += 'ymin = ' + str(-ybot - detaly) + ','
tex += 'ymax = ' + str(ytop + detaly) + ','
tex += 'xmin = ' + str(-xleft - detalx) + ','
tex += 'xmax = ' + str(xright + detalx) + ','
tex += 'after end axis/.code = {\\path (axis cs: 0,0) node [anchor = north west, yshift = -0.075cm] {0};}]'
tex += 'after end axis/.code = {\\path (axis cs: 0,' + str(b) + ') node [anchor = south west, yshift = 0.075cm, xshift = 0.075cm] {B};}]'
tex += 'after end axis/.code = {\\path (axis cs: '+ str(x)+ ',0) node [anchor = south west, yshift = 0.075cm, xshift = 0.075cm] {A};}]'
tex += '\\addplot[color = red, thick, samples = 50] {' + str(a) + '*x + ' + str(b) +'};'
tex += '\\legend{$\\displaystyle ' + functionLatex + '$}'
tex += '\\addplot[scatter, only marks,scatter src = explicit symbolic]'
tex += 'coordinates {(0, ' + str(b) + ')[a]('+str(x)+',0)[a] };'
tex += '\\end{axis}'
tex += '\\end{tikzpicture}'
tex +='\\end{figure}'
tex += '\\end{document}'
return tex2base64(tex)
def RenderTexQuad(arr_fig, point, delta, y, functionLatex):
a = parse_expr(arr_fig[0]).evalf(3)
b = parse_expr(arr_fig[1]).evalf(3)
c = parse_expr(arr_fig[2]).evalf(4)
xleft = int(round(point[0] - delta - 1 - abs(c) / 4))
xright = int(round(point[0] + delta + 1 + abs(c) / 4))
if xleft > -2:
xleft = -2
if xright < 2:
xright = 2
if (Mod(xleft, 2)) != 0:
xleft += -1
if (Mod(xright, 2)) != 0:
xright += 1
if a > 0:
ybot = int(floor(point[1]))
if (Mod(ybot, 2)) != 0:
ybot = ybot - 1
ytop = int(ceiling(y))
if (Mod(ytop, 2)) != 0:
ytop = ytop + 1
if (ybot > -2):
ybot = -2
if (ytop < 2):
ytop = 2
else:
ybot = int(floor(y))
if (Mod(ybot, 2)) != 0:
ybot = ybot - 1
ytop = int(ceiling(point[1]))
if (Mod(ytop, 2)) != 0:
ytop = ytop + 1
if (ybot > -2):
ybot = -2
if (ytop < 2):
ytop = 2
deltaxStr = '(' + str(xright) + "-" + str(xleft) + ')/10'
deltayStr = '(' + str(ytop) + "-" + str(ybot) + ')/10'
detalx = parse_expr(deltaxStr).evalf()
if (detalx < 0.5):
detalx = 0.5
else:
detalx = int(round(parse_expr(deltaxStr).evalf()))
detaly = parse_expr(deltayStr).evalf()
if (detaly < 0.5):
detaly = 0.5
else:
detaly = int(round(parse_expr(deltayStr).evalf()))
xleft = parse_expr(str(xleft)).evalf(4)
xright = parse_expr(str(xright)).evalf(4)
ytop = parse_expr(str(ytop)).evalf(4)
ybot = parse_expr(str(ybot)).evalf(4)
point[0] = parse_expr(str(point[0])).evalf(4)
point[1] = parse_expr(str(point[1])).evalf(4)
tex = '\\documentclass[preview]{standalone}'
tex += '\\usepackage[hmargin = 0cm, vmargin = 0cm]{geometry}'
tex += '\\usepackage{tikz}'
tex += '\\usepackage{pgfplots}'
tex += '\\begin{document}'
tex += '\\begin{figure}[h!tbp]'
tex += '\\centering'
tex += '\\begin{tikzpicture}'
tex += '\\begin{axis}['
tex += 'scatter / classes = {a = {mark = square *, blue}},'
tex += 'height = 15cm,'
tex += 'domain=' + str(point[0] - (delta - 1) -
0.1) + ':' + str(point[0] + (delta - 1) + 0.1) + ','
tex += 'grid = major,'
tex += 'grid style = {dashed, gray!50},'
tex += 'axis lines = middle,'
tex += 'inner axis line style = {= >},'
tex += 'xlabel = {\\large $x$},'
tex += 'ylabel = {\\large $y$},'
tex += 'yticklabel style = {inner ysep = 0pt, anchor = south east},'
tex += 'xticklabel style= {inner xsep = 0pt, anchor = north west},'
tex += 'xtick = {'
tex += str(xleft) + ',' + str(xleft +
detalx) + ', ..., ' + str(xright) + '},'
tex += 'ytick = {'
tex += str(ybot) + ',' + str(ybot + detaly) + ', ..., ' + str(ytop) + '},'
tex += 'ymin = ' + str(ybot - detaly) + ','
tex += 'ymax = ' + str(ytop + detaly) + ','
tex += 'xmin = ' + str(xleft - detalx) + ','
tex += 'xmax = ' + str(xright + detalx) + ','
tex += 'after end axis/.code = {\\path (axis cs: 0,0) node [anchor = north west, yshift = -0.075cm] {0};}]'
tex += 'after end axis/.code = {\\path (axis cs: ' + str(
point[0]) + ', ' + str(
point[1]
) + ') node [anchor = south west, yshift = 0.075cm, red] {I};}]'
tex += '\\addplot[color = red, thick, samples = 201] {' + str(
a) + '*x*x + ' + str(b) + '*x+' + str(c) + '};'
tex += '\\legend{$' + functionLatex + '$}'
tex += '\\addplot[scatter, only marks,scatter src = explicit symbolic]'
tex += 'coordinates {(' + str(point[0]) + ', ' + str(point[1]) + ')[a] };'
tex += '\\end{axis}'
tex += '\\end{tikzpicture}'
tex += '\\end{figure}'
tex += '\\end{document}'
return tex2base64(tex)
def RenderTexCubic(arr_fig,xleft,xright,ytop,ybot,delta,functionLatex,arr_x,arr_y):
a = arr_fig[0]
b = arr_fig[1]
c = arr_fig[2]
d = arr_fig[3]
xleft = int(floor(xleft))
xright = int(ceiling(xright))
ytop = int(ceiling(ytop))
ybot = int(floor(ybot))
if (ybot > -2):
ybot = -2
if (ytop < 2):
ytop = 2
if xleft > -2 :
xleft = -2
if xright < 2:
xright = 2
deltaxStr = '(' + str(xright) + "-" + str(xleft) + ')/10'
deltayStr = '(' + str(ytop) + "-" + str(ybot) + ')/10'
detalx = parse_expr(deltaxStr).evalf()
if (detalx < 0.5):
detalx = 0.5
else:
detalx = int(round(parse_expr(deltaxStr).evalf()))
detaly = parse_expr(deltayStr).evalf()
if (detaly < 0.5):
detaly = 0.5
else:
detaly = int(round(parse_expr(deltayStr).evalf()))
tex = '\\documentclass[preview]{standalone}'
tex += '\\usepackage[hmargin = 0cm, vmargin = 0cm]{geometry}'
tex += '\\usepackage{tikz}'
tex += '\\usepackage{pgfplots}'
tex += '\\begin{document}'
tex += '\\begin{figure}[h!tbp]'
tex += '\\centering'
tex += '\\begin{tikzpicture}'
tex += '\\begin{axis}['
#tex += 'scatter / classes = {a = {mark = square *, blue}},'
tex += 'height = 15cm,'
tex += 'domain=' + str(xleft) + ':' + str(xright) + ','
tex += 'grid = major,'
tex += 'grid style = {dashed, gray!50},'
tex += 'axis lines = middle,'
tex += 'inner axis line style = {= >},'
tex += 'xlabel = {\\large $x$},'
tex += 'ylabel = {\\large $y$},'
tex += 'yticklabel style = {inner ysep = 0pt, anchor = south east},'
tex += 'xticklabel style= {inner xsep = 0pt, anchor = north west},'
tex += 'xtick = {'
tex += str(xleft) + ',' + str(xleft + detalx) + ', ..., ' + str(xright) + '},'
tex += 'ytick = {'
tex += str(ybot) + ',' + str(ybot + detaly) + ', ..., ' + str(ytop) + '},'
tex += 'ymin = ' + str(ybot - detaly) + ','
tex += 'ymax = ' + str(ytop + detaly) + ','
tex += 'xmin = ' + str(xleft - detalx) + ','
tex += 'xmax = ' + str(xright + detalx) + ','
tex += 'after end axis/.code = {\\path (axis cs: 0,0) node [anchor = north west, yshift = -0.075cm] {0};}]'
if(len(arr_x) == 2):
tex += 'after end axis/.code = {\\path (axis cs:'+ str(arr_x[0].evalf()) + ','+ str(arr_y[0]) + ') node [anchor = south west, yshift = 0.075cm, xshift = 0.075cm] {A};}]'
tex += 'after end axis/.code = {\\path (axis cs:'+ str(arr_x[1].evalf()) + ','+ str(arr_y[1]) + ') node [anchor = south west, yshift = 0.075cm, xshift = 0.075cm] {B};}]'
tex += '\\addplot[color = red, thick, samples = 201] {' + str(a) + '*x*x*x + ' + str(b) + '*x*x+' + str(c) + '*x+' + str(d) + '};'
tex += '\\legend{$' + functionLatex + '$}'
if(len(arr_x)==2):
tex += '\\addplot[scatter, only marks,scatter src = explicit symbolic]'
tex += 'coordinates {(' + str(arr_x[0].evalf()) + ',' + str(arr_y[0]) + ')[a](' + str(arr_x[1].evalf()) + ',' + str(arr_y[1]) + ')[a]};'
tex += '\\end{axis}'
tex += '\\end{tikzpicture}'
tex += '\\end{figure}'
tex += '\\end{document}'
#rint tex
return tex2base64(tex)