notebooks/math_plots.ipynb
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"### Plotting from an analytic function expression\n",
"\n",
"#### Plot in cartesian coordinate system"
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"text/plain": [
"#<GnuplotRB::Plot:0x000000034f1610 @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x000000034f13e0 @type=:math_function, @data=\"x*sin(x)\", @options=Hamster::Hash[:with => \"lines\", :lt => {:rgb=>\"blue\", :lw=>3}]>], @options=Hamster::Hash[:xrange => -10..10, :title => \"Math function example\", :ylabel => \"x\", :xlabel => \"x*sin(x)\"], @already_plotted=true, @cmd=\"plot \", @terminal=#<GnuplotRB::Terminal:0x000000034f0eb8 @cmd=\"gnuplot 2>&1\", @current_datablock=0, @err_array=[], @in=#<IO:fd 23>>>"
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"source": [
"require 'gnuplotrb'\n",
"include GnuplotRB\n",
"\n",
"cartesian = Plot.new(\n",
" ['x*sin(x)', with: 'lines', lt: { rgb: 'blue', lw: 3 }],\n",
" xrange: -10..10,\n",
" title: 'Math function example', \n",
" ylabel: 'x',\n",
" xlabel: 'x*sin(x)'\n",
")"
]
},
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"source": [
"#### Plot in polar coordinate system"
]
},
{
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"\t\t<text><tspan font-family=\"Arial\" > 0.8</tspan></text>\n",
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"</g>\n",
"<g fill=\"none\" color=\"black\" stroke=\"currentColor\" stroke-width=\"1.00\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\">\n",
"\t<path stroke='black' d='M158.1,444.0 L158.1,435.0 M158.1,54.1 L158.1,63.1 '/>\t<g transform=\"translate(158.1,466.5)\" stroke=\"none\" fill=\"black\" font-family=\"Arial\" font-size=\"12.00\" text-anchor=\"middle\">\n",
"\t\t<text><tspan font-family=\"Arial\" > 0.6</tspan></text>\n",
"\t</g>\n",
"</g>\n",
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"\t\t<text><tspan font-family=\"Arial\" > 0.4</tspan></text>\n",
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"\t\t<text><tspan font-family=\"Arial\" > 0</tspan></text>\n",
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"</g>\n",
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"\t\t<text><tspan font-family=\"Arial\" > 0.6</tspan></text>\n",
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"\t<path stroke='black' d='M522.9,249.0 L522.9,240.0 M522.9,249.0 L522.9,258.0 '/>\t<g transform=\"translate(522.9,271.5)\" stroke=\"none\" fill=\"black\" font-family=\"Arial\" font-size=\"12.00\" text-anchor=\"middle\">\n",
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"</g>\n",
"<g fill=\"none\" color=\"black\" stroke=\"currentColor\" stroke-width=\"1.00\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\">\n",
"\t<path stroke='black' d='M575.0,249.0 L575.0,240.0 M575.0,249.0 L575.0,258.0 '/>\t<g transform=\"translate(575.0,271.5)\" stroke=\"none\" fill=\"black\" font-family=\"Arial\" font-size=\"12.00\" text-anchor=\"middle\">\n",
"\t\t<text><tspan font-family=\"Arial\" > 1</tspan></text>\n",
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"</g>\n",
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"</g>\n",
"<g fill=\"none\" color=\"black\" stroke=\"currentColor\" stroke-width=\"1.00\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\">\n",
"\t<path stroke='black' d='M53.9,54.1 L53.9,444.0 L575.0,444.0 L575.0,54.1 L53.9,54.1 Z '/></g>\n",
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"\t<g transform=\"translate(314.4,31.6)\" stroke=\"none\" fill=\"black\" font-family=\"Arial\" font-size=\"12.00\" text-anchor=\"middle\">\n",
"\t\t<text><tspan font-family=\"Arial\" >Plot in polar example</tspan></text>\n",
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"</g>\n",
"\t<g id=\"gnuplot_plot_1\" ><title>abs(sin(3*t))</title>\n",
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"\t\t<text>abs(sin(3*t))</text>\n",
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"text/plain": [
"#<GnuplotRB::Plot:0x000000034c50d8 @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x000000034b7d48 @type=:math_function, @data=\"abs(sin(3*t))\", @options=Hamster::Hash[:with => \"filledcurves\", :lt => {:rgb=>\"red\"}]>], @options=Hamster::Hash[:samples => 500, :title => \"Plot in polar example\", :polar => true], @already_plotted=true, @cmd=\"plot \", @terminal=#<GnuplotRB::Terminal:0x000000034b7578 @cmd=\"gnuplot 2>&1\", @current_datablock=0, @err_array=[], @in=#<IO:fd 27>>>"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Plot.new(\n",
" ['abs(sin(3*t))', with: 'filledcurves', lt: { rgb: 'red' }],\n",
" title: 'Plot in polar example',\n",
" polar: true,\n",
" samples: 500\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Plot from a parametric function expression"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
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"<g fill=\"none\" color=\"black\" stroke=\"currentColor\" stroke-width=\"1.00\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\">\n",
"\t<path stroke='black' d='M37.3,444.0 L46.3,444.0 M575.0,444.0 L566.0,444.0 '/>\t<g transform=\"translate(29.0,448.5)\" stroke=\"none\" fill=\"black\" font-family=\"Arial\" font-size=\"12.00\" text-anchor=\"end\">\n",
"\t\t<text><tspan font-family=\"Arial\" >-3</tspan></text>\n",
"\t</g>\n",
"</g>\n",
"<g fill=\"none\" color=\"black\" stroke=\"currentColor\" stroke-width=\"1.00\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\">\n",
"\t<path stroke='black' d='M37.3,379.0 L46.3,379.0 M575.0,379.0 L566.0,379.0 '/>\t<g transform=\"translate(29.0,383.5)\" stroke=\"none\" fill=\"black\" font-family=\"Arial\" font-size=\"12.00\" text-anchor=\"end\">\n",
"\t\t<text><tspan font-family=\"Arial\" >-2</tspan></text>\n",
"\t</g>\n",
"</g>\n",
"<g fill=\"none\" color=\"black\" stroke=\"currentColor\" stroke-width=\"1.00\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\">\n",
"\t<path stroke='black' d='M37.3,314.0 L46.3,314.0 M575.0,314.0 L566.0,314.0 '/>\t<g transform=\"translate(29.0,318.5)\" stroke=\"none\" fill=\"black\" font-family=\"Arial\" font-size=\"12.00\" text-anchor=\"end\">\n",
"\t\t<text><tspan font-family=\"Arial\" >-1</tspan></text>\n",
"\t</g>\n",
"</g>\n",
"<g fill=\"none\" color=\"black\" stroke=\"currentColor\" stroke-width=\"1.00\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\">\n",
"\t<path stroke='black' d='M37.3,249.0 L46.3,249.0 M575.0,249.0 L566.0,249.0 '/>\t<g transform=\"translate(29.0,253.5)\" stroke=\"none\" fill=\"black\" font-family=\"Arial\" font-size=\"12.00\" text-anchor=\"end\">\n",
"\t\t<text><tspan font-family=\"Arial\" > 0</tspan></text>\n",
"\t</g>\n",
"</g>\n",
"<g fill=\"none\" color=\"black\" stroke=\"currentColor\" stroke-width=\"1.00\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\">\n",
"\t<path stroke='black' d='M37.3,184.1 L46.3,184.1 M575.0,184.1 L566.0,184.1 '/>\t<g transform=\"translate(29.0,188.6)\" stroke=\"none\" fill=\"black\" font-family=\"Arial\" font-size=\"12.00\" text-anchor=\"end\">\n",
"\t\t<text><tspan font-family=\"Arial\" > 1</tspan></text>\n",
"\t</g>\n",
"</g>\n",
"<g fill=\"none\" color=\"black\" stroke=\"currentColor\" stroke-width=\"1.00\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\">\n",
"\t<path stroke='black' d='M37.3,119.1 L46.3,119.1 M575.0,119.1 L566.0,119.1 '/>\t<g transform=\"translate(29.0,123.6)\" stroke=\"none\" fill=\"black\" font-family=\"Arial\" font-size=\"12.00\" text-anchor=\"end\">\n",
"\t\t<text><tspan font-family=\"Arial\" > 2</tspan></text>\n",
"\t</g>\n",
"</g>\n",
"<g fill=\"none\" color=\"black\" stroke=\"currentColor\" stroke-width=\"1.00\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\">\n",
"\t<path stroke='black' d='M37.3,54.1 L46.3,54.1 M575.0,54.1 L566.0,54.1 '/>\t<g transform=\"translate(29.0,58.6)\" stroke=\"none\" fill=\"black\" font-family=\"Arial\" font-size=\"12.00\" text-anchor=\"end\">\n",
"\t\t<text><tspan font-family=\"Arial\" > 3</tspan></text>\n",
"\t</g>\n",
"</g>\n",
"<g fill=\"none\" color=\"black\" stroke=\"currentColor\" stroke-width=\"1.00\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\">\n",
"\t<path stroke='black' d='M37.3,444.0 L37.3,435.0 M37.3,54.1 L37.3,63.1 '/>\t<g transform=\"translate(37.3,466.5)\" stroke=\"none\" fill=\"black\" font-family=\"Arial\" font-size=\"12.00\" text-anchor=\"middle\">\n",
"\t\t<text><tspan font-family=\"Arial\" >-3</tspan></text>\n",
"\t</g>\n",
"</g>\n",
"<g fill=\"none\" color=\"black\" stroke=\"currentColor\" stroke-width=\"1.00\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\">\n",
"\t<path stroke='black' d='M126.9,444.0 L126.9,435.0 M126.9,54.1 L126.9,63.1 '/>\t<g transform=\"translate(126.9,466.5)\" stroke=\"none\" fill=\"black\" font-family=\"Arial\" font-size=\"12.00\" text-anchor=\"middle\">\n",
"\t\t<text><tspan font-family=\"Arial\" >-2</tspan></text>\n",
"\t</g>\n",
"</g>\n",
"<g fill=\"none\" color=\"black\" stroke=\"currentColor\" stroke-width=\"1.00\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\">\n",
"\t<path stroke='black' d='M216.5,444.0 L216.5,435.0 M216.5,54.1 L216.5,63.1 '/>\t<g transform=\"translate(216.5,466.5)\" stroke=\"none\" fill=\"black\" font-family=\"Arial\" font-size=\"12.00\" text-anchor=\"middle\">\n",
"\t\t<text><tspan font-family=\"Arial\" >-1</tspan></text>\n",
"\t</g>\n",
"</g>\n",
"<g fill=\"none\" color=\"black\" stroke=\"currentColor\" stroke-width=\"1.00\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\">\n",
"\t<path stroke='black' d='M306.2,444.0 L306.2,435.0 M306.2,54.1 L306.2,63.1 '/>\t<g transform=\"translate(306.2,466.5)\" stroke=\"none\" fill=\"black\" font-family=\"Arial\" font-size=\"12.00\" text-anchor=\"middle\">\n",
"\t\t<text><tspan font-family=\"Arial\" > 0</tspan></text>\n",
"\t</g>\n",
"</g>\n",
"<g fill=\"none\" color=\"black\" stroke=\"currentColor\" stroke-width=\"1.00\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\">\n",
"\t<path stroke='black' d='M395.8,444.0 L395.8,435.0 M395.8,54.1 L395.8,63.1 '/>\t<g transform=\"translate(395.8,466.5)\" stroke=\"none\" fill=\"black\" font-family=\"Arial\" font-size=\"12.00\" text-anchor=\"middle\">\n",
"\t\t<text><tspan font-family=\"Arial\" > 1</tspan></text>\n",
"\t</g>\n",
"</g>\n",
"<g fill=\"none\" color=\"black\" stroke=\"currentColor\" stroke-width=\"1.00\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\">\n",
"\t<path stroke='black' d='M485.4,444.0 L485.4,435.0 M485.4,54.1 L485.4,63.1 '/>\t<g transform=\"translate(485.4,466.5)\" stroke=\"none\" fill=\"black\" font-family=\"Arial\" font-size=\"12.00\" text-anchor=\"middle\">\n",
"\t\t<text><tspan font-family=\"Arial\" > 2</tspan></text>\n",
"\t</g>\n",
"</g>\n",
"<g fill=\"none\" color=\"black\" stroke=\"currentColor\" stroke-width=\"1.00\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\">\n",
"\t<path stroke='black' d='M575.0,444.0 L575.0,435.0 M575.0,54.1 L575.0,63.1 '/>\t<g transform=\"translate(575.0,466.5)\" stroke=\"none\" fill=\"black\" font-family=\"Arial\" font-size=\"12.00\" text-anchor=\"middle\">\n",
"\t\t<text><tspan font-family=\"Arial\" > 3</tspan></text>\n",
"\t</g>\n",
"</g>\n",
"<g fill=\"none\" color=\"black\" stroke=\"currentColor\" stroke-width=\"1.00\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\">\n",
"</g>\n",
"<g fill=\"none\" color=\"black\" stroke=\"currentColor\" stroke-width=\"1.00\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\">\n",
"\t<path stroke='black' d='M37.3,54.1 L37.3,444.0 L575.0,444.0 L575.0,54.1 L37.3,54.1 Z '/></g>\n",
"<g fill=\"none\" color=\"black\" stroke=\"currentColor\" stroke-width=\"1.00\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\">\n",
"\t<g transform=\"translate(306.1,31.6)\" stroke=\"none\" fill=\"black\" font-family=\"Arial\" font-size=\"12.00\" text-anchor=\"middle\">\n",
"\t\t<text><tspan font-family=\"Arial\" >Parametric plot example</tspan></text>\n",
"\t</g>\n",
"</g>\n",
"\t<g id=\"gnuplot_plot_1\" ><title>Parametric curve</title>\n",
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"</g>\n",
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"\t<g transform=\"translate(507.9,76.6)\" stroke=\"none\" fill=\"black\" font-family=\"Arial\" font-size=\"12.00\" text-anchor=\"end\">\n",
"\t\t<text><tspan font-family=\"Arial\" >Parametric curve</tspan></text>\n",
"\t</g>\n",
"</g>\n",
"<g fill=\"none\" color=\"black\" stroke=\"currentColor\" stroke-width=\"2.00\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\">\n",
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"\t\tL302.1,285.0 L281.6,296.1 '/></g>\n",
"\t</g>\n",
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"</g>\n",
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"</g>\n",
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],
"text/plain": [
"#<GnuplotRB::Plot:0x0000000348bf18 @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x0000000348bc70 @type=:math_function, @data=\"1.5*cos(t) - cos(30*t), 1.5*sin(t) - sin(30*t)\", @options=Hamster::Hash[:lw => 2, :title => \"Parametric curve\"]>], @options=Hamster::Hash[:samples => 1000, :title => \"Parametric plot example\", :xrange => -3..3, :yrange => -3..3, :parametric => true], @already_plotted=true, @cmd=\"plot \", @terminal=#<GnuplotRB::Terminal:0x0000000348b748 @cmd=\"gnuplot 2>&1\", @current_datablock=0, @err_array=[], @in=#<IO:fd 31>>>"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Plot.new(\n",
" ['1.5*cos(t) - cos(30*t), 1.5*sin(t) - sin(30*t)', title: 'Parametric curve', lw: 2],\n",
" title: 'Parametric plot example',\n",
" parametric: true,\n",
" samples: 1000,\n",
" xrange: -3..3,\n",
" yrange: -3..3\n",
")"
]
}
],
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