LIBRARY
Math.Tests.RectangularToPolar
Converts constant and time-varying rectangular coordinates to polar.
Connects constant sources with u_re=3 and u_im=4 to a RectangularToPolar block and verifies that y_abs = sqrt(9+16) = 5 and y_arg = atan2(4,3) ≈ 0.9273. A second RectangularToPolar block holds the real part at 3 while a sine wave sweeps the imaginary part, so the magnitude and angle vary over time.
Usage
BlockComponents.Math.Tests.RectangularToPolar()
Behavior
Source
dyad
"""
Converts constant and time-varying rectangular coordinates to polar.
Connects constant sources with u_re=3 and u_im=4 to a RectangularToPolar
block and verifies that y_abs = sqrt(9+16) = 5 and
y_arg = atan2(4,3) ≈ 0.9273. A second RectangularToPolar block holds the real
part at 3 while a sine wave sweeps the imaginary part, so the magnitude and
angle vary over time.
"""
test component RectangularToPolar
"Constant source providing the real part"
c_re = BlockComponents.Sources.Constant(k = 3) {
"Dyad": {
"placement": {
"diagram": {"iconName": "default", "x1": 20, "y1": 20, "x2": 120, "y2": 120, "rot": 0}
},
"tags": []
}
}
"Constant source providing the imaginary part"
c_im = BlockComponents.Sources.Constant(k = 4) {
"Dyad": {
"placement": {
"diagram": {"iconName": "default", "x1": 20, "y1": 140, "x2": 120, "y2": 240, "rot": 0}
},
"tags": []
}
}
"RectangularToPolar block under test"
r2p = BlockComponents.Math.RectangularToPolar() {
"Dyad": {
"placement": {
"diagram": {"iconName": "default", "x1": 180, "y1": 50, "x2": 280, "y2": 150, "rot": 0}
},
"tags": []
}
}
"Sine source sweeping the imaginary part of the second block"
im_sine = BlockComponents.Sources.Sine(amplitude = 4, frequency = 1) {
"Dyad": {
"placement": {
"diagram": {"iconName": "default", "x1": 20, "y1": 260, "x2": 120, "y2": 360, "rot": 0}
},
"tags": []
}
}
"Second RectangularToPolar block with a swept imaginary part"
r2p_2 = BlockComponents.Math.RectangularToPolar() {
"Dyad": {
"placement": {
"diagram": {"iconName": "default", "x1": 170, "y1": 236, "x2": 270, "y2": 336, "rot": 0}
},
"tags": []
}
}
relations
connect(c_re.y, r2p.u_re) {
"Dyad": {
"edges": [{"S": 1, "M": [{"x": 145, "y": 70}, {"x": 145, "y": 71}], "E": 2}],
"renderStyle": "standard"
}
}
connect(c_im.y, r2p.u_im) {
"Dyad": {
"edges": [{"S": 1, "M": [{"x": 140, "y": 190}, {"x": 140, "y": 124}], "E": 2}],
"renderStyle": "standard"
}
}
connect(c_re.y, r2p_2.u_re) {
"Dyad": {
"edges": [{"S": 1, "M": [], "E": -1}, {"S": -1, "M": [{"x": 150, "y": 257}], "E": 2}],
"junctions": [{"x": 150, "y": 70}],
"renderStyle": "standard"
}
}
connect(im_sine.y, r2p_2.u_im) {"Dyad": {"edges": [{"S": 1, "M": [], "E": 2}], "renderStyle": "standard"}}
metadata {
"Dyad": {
"icons": {"default": "dyad://BlockComponents/Example.svg"},
"tests": {
"case1": {
"stop": 1,
"expect": {
"signals": ["r2p.y_abs", "r2p.y_arg", "r2p_2.y_abs", "r2p_2.y_arg", "im_sine.y"]
}
}
}
}
}
endFlattened Source
dyad
"""
Converts constant and time-varying rectangular coordinates to polar.
Connects constant sources with u_re=3 and u_im=4 to a RectangularToPolar
block and verifies that y_abs = sqrt(9+16) = 5 and
y_arg = atan2(4,3) ≈ 0.9273. A second RectangularToPolar block holds the real
part at 3 while a sine wave sweeps the imaginary part, so the magnitude and
angle vary over time.
"""
test component RectangularToPolar
"Constant source providing the real part"
c_re = BlockComponents.Sources.Constant(k = 3) {
"Dyad": {
"placement": {
"diagram": {"iconName": "default", "x1": 20, "y1": 20, "x2": 120, "y2": 120, "rot": 0}
},
"tags": []
}
}
"Constant source providing the imaginary part"
c_im = BlockComponents.Sources.Constant(k = 4) {
"Dyad": {
"placement": {
"diagram": {"iconName": "default", "x1": 20, "y1": 140, "x2": 120, "y2": 240, "rot": 0}
},
"tags": []
}
}
"RectangularToPolar block under test"
r2p = BlockComponents.Math.RectangularToPolar() {
"Dyad": {
"placement": {
"diagram": {"iconName": "default", "x1": 180, "y1": 50, "x2": 280, "y2": 150, "rot": 0}
},
"tags": []
}
}
"Sine source sweeping the imaginary part of the second block"
im_sine = BlockComponents.Sources.Sine(amplitude = 4, frequency = 1) {
"Dyad": {
"placement": {
"diagram": {"iconName": "default", "x1": 20, "y1": 260, "x2": 120, "y2": 360, "rot": 0}
},
"tags": []
}
}
"Second RectangularToPolar block with a swept imaginary part"
r2p_2 = BlockComponents.Math.RectangularToPolar() {
"Dyad": {
"placement": {
"diagram": {"iconName": "default", "x1": 170, "y1": 236, "x2": 270, "y2": 336, "rot": 0}
},
"tags": []
}
}
relations
connect(c_re.y, r2p.u_re) {
"Dyad": {
"edges": [{"S": 1, "M": [{"x": 145, "y": 70}, {"x": 145, "y": 71}], "E": 2}],
"renderStyle": "standard"
}
}
connect(c_im.y, r2p.u_im) {
"Dyad": {
"edges": [{"S": 1, "M": [{"x": 140, "y": 190}, {"x": 140, "y": 124}], "E": 2}],
"renderStyle": "standard"
}
}
connect(c_re.y, r2p_2.u_re) {
"Dyad": {
"edges": [{"S": 1, "M": [], "E": -1}, {"S": -1, "M": [{"x": 150, "y": 257}], "E": 2}],
"junctions": [{"x": 150, "y": 70}],
"renderStyle": "standard"
}
}
connect(im_sine.y, r2p_2.u_im) {"Dyad": {"edges": [{"S": 1, "M": [], "E": 2}], "renderStyle": "standard"}}
metadata {
"Dyad": {
"icons": {"default": "dyad://BlockComponents/Example.svg"},
"tests": {
"case1": {
"stop": 1,
"expect": {
"signals": ["r2p.y_abs", "r2p.y_arg", "r2p_2.y_abs", "r2p_2.y_arg", "im_sine.y"]
}
}
}
}
}
endTest Cases
Test Case case1
julia
plt
julia
plt
julia
plt
julia
plt
julia
plt
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