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}},
textColor = {192, 192, 192},
textString = "atan2")}),
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<blockquote><pre>\ny = <strong>atan2</strong>( u1, u2 );\n</pre></blockquote>\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 ≤ y ≤ 180 deg, whereas\nblock <strong>Atan</strong> gives a solution in the range\n-90 deg ≤ y ≤ 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;