Atan2

block Atan2 "Output atan(u1/u2) of the inputs u1 and u2"
    extends Interfaces.SI2SO(y(unit = "rad"));
equation
    y = Modelica.Math.atan2(u1, u2);

    annotation (
        Icon(
            coordinateSystem(
                preserveAspectRatio = true,
                extent = {
                    {-100, -100}, 
                    {100, 100}}),
            graphics = {
                Polygon(
                    points = {
                        {0, 90}, 
                        {-8, 68}, 
                        {8, 68}, 
                        {0, 90}},
                    lineColor = {192, 192, 192},
                    fillColor = {192, 192, 192},
                    fillPattern = FillPattern.Solid), 
                Line(
                    points = {
                        {0, -80}, 
                        {0, 68}},
                    color = {192, 192, 192}), 
                Line(
                    points = {
                        {-90, 0}, 
                        {68, 0}},
                    color = {192, 192, 192}), 
                Polygon(
                    points = {
                        {90, 0}, 
                        {68, 8}, 
                        {68, -8}, 
                        {90, 0}},
                    lineColor = {192, 192, 192},
                    fillColor = {192, 192, 192},
                    fillPattern = FillPattern.Solid), 
                Line(
                    points = {
                        {-80, -34.9}, 
                        {-46.1, -31.4}, 
                        {-29.4, -27.1}, 
                        {-18.3, -21.5}, 
                        {-10.3, -14.5}, 
                        {-2.03, -3.17}, 
                        {7.97, 11.6}, 
                        {15.5, 19.4}, 
                        {24.3, 25}, 
                        {39, 30}, 
                        {62.1, 33.5}, 
                        {80, 34.9}},
                    smooth = Smooth.Bezier), 
                Line(
                    points = {
                        {-80, 45.1}, 
                        {-45.9, 48.7}, 
                        {-29.1, 52.9}, 
                        {-18.1, 58.6}, 
                        {-10.2, 65.8}, 
                        {-1.82, 77.2}, 
                        {0, 80}},
                    smooth = Smooth.Bezier), 
                Line(
                    points = {
                        {0, -80}, 
                        {8.93, -67.2}, 
                        {17.1, -59.3}, 
                        {27.3, -53.6}, 
                        {42.1, -49.4}, 
                        {69.9, -45.8}, 
                        {80, -45.1}},
                    smooth = Smooth.Bezier), 
                Text(
                    extent = {
                        {-90, -46}, 
                        {-18, -94}},
                    lineColor = {192, 192, 192},
                    textString = "atan2")}),
        Diagram(
            coordinateSystem(
                preserveAspectRatio = true,
                extent = {
                    {-100, -100}, 
                    {100, 100}}),
            graphics = {
                Line(
                    points = {
                        {0, 80}, 
                        {-8, 80}},
                    color = {192, 192, 192}), 
                Line(
                    points = {
                        {0, -80}, 
                        {-8, -80}},
                    color = {192, 192, 192}), 
                Line(
                    points = {
                        {0, -90}, 
                        {0, 84}},
                    color = {192, 192, 192}), 
                Text(
                    extent = {
                        {11, 98}, 
                        {42, 78}},
                    lineColor = {160, 160, 164},
                    textString = "y"), 
                Polygon(
                    points = {
                        {0, 100}, 
                        {-6, 84}, 
                        {6, 84}, 
                        {0, 100}},
                    lineColor = {192, 192, 192},
                    fillColor = {192, 192, 192},
                    fillPattern = FillPattern.Solid), 
                Line(
                    points = {
                        {-100, 0}, 
                        {84, 0}},
                    color = {192, 192, 192}), 
                Polygon(
                    points = {
                        {100, 0}, 
                        {84, 6}, 
                        {84, -6}, 
                        {100, 0}},
                    lineColor = {192, 192, 192},
                    fillColor = {192, 192, 192},
                    fillPattern = FillPattern.Solid), 
                Line(points = {
                    {0, -80}, 
                    {8.93, -67.2}, 
                    {17.1, -59.3}, 
                    {27.3, -53.6}, 
                    {42.1, -49.4}, 
                    {69.9, -45.8}, 
                    {80, -45.1}}), 
                Line(points = {
                    {-80, -34.9}, 
                    {-46.1, -31.4}, 
                    {-29.4, -27.1}, 
                    {-18.3, -21.5}, 
                    {-10.3, -14.5}, 
                    {-2.03, -3.17}, 
                    {7.97, 11.6}, 
                    {15.5, 19.4}, 
                    {24.3, 25}, 
                    {39, 30}, 
                    {62.1, 33.5}, 
                    {80, 34.9}}), 
                Line(points = {
                    {-80, 45.1}, 
                    {-45.9, 48.7}, 
                    {-29.1, 52.9}, 
                    {-18.1, 58.6}, 
                    {-10.2, 65.8}, 
                    {-1.82, 77.2}, 
                    {0, 80}}), 
                Text(
                    extent = {
                        {-30, 89}, 
                        {-10, 70}},
                    textString = "pi",
                    lineColor = {0, 0, 255}), 
                Text(
                    extent = {
                        {-30, -69}, 
                        {-10, -88}},
                    textString = "-pi",
                    lineColor = {0, 0, 255}), 
                Text(
                    extent = {
                        {-30, 49}, 
                        {-10, 30}},
                    textString = "pi/2",
                    lineColor = {0, 0, 255}), 
                Line(
                    points = {
                        {0, 40}, 
                        {-8, 40}},
                    color = {192, 192, 192}), 
                Line(
                    points = {
                        {0, -40}, 
                        {-8, -40}},
                    color = {192, 192, 192}), 
                Text(
                    extent = {
                        {-30, -31}, 
                        {-10, -50}},
                    textString = "-pi/2",
                    lineColor = {0, 0, 255}), 
                Text(
                    extent = {
                        {48, 0}, 
                        {100, -34}},
                    lineColor = {160, 160, 164},
                    textString = "u1 / u2")}),
        Documentation(info = "<html>\n<p>\nThis blocks computes the output <strong>y</strong> as the\n<em>tangent-inverse</em> of the input <strong>u1</strong> divided by\ninput <strong>u2</strong>:\n</p>\n<pre>\n    y = <strong>atan2</strong>( u1, u2 );\n</pre>\n<p>\nu1 and u2 shall not be zero at the same time instant.\n<strong>Atan2</strong> uses the sign of u1 and u2 in order to construct\nthe solution in the range -180 deg &le; y &le; 180 deg, whereas\nblock <strong>Atan</strong> gives a solution in the range\n-90 deg &le; y &le; 90 deg.\n</p>\n\n<p>\n<img src=\"modelica://Modelica/Resources/Images/Math/atan2.png\"\n     alt=\"atan2.png\">\n</p>\n\n</html>"));
end Atan2;