LIBRARY
Math.Tests.Atan2
Computes the four-quadrant arc tangent of constant and time-varying inputs.
Connects constant sources with values 0 (u1) and 1 (u2) to an Atan2 block and verifies that atan2(0, 1) = 0. A second Atan2 block is driven by a sine wave on u1 (amplitude 2) with the x-component (u2) held at 1 so the angle sweeps negative and positive values while avoiding the atan2(0, 0) singularity.
Usage
BlockComponents.Math.Tests.Atan2()
Behavior
julia
using BlockComponents #hide
using ModelingToolkit #hide
@named sys = BlockComponents.Math.Tests.Atan2() #hide
let eqs = full_equations(sys); Base.length(eqs) > 25 ? nothing : eqs end #hide<< @example-block not executed in draft mode >>Source
dyad
"""
Computes the four-quadrant arc tangent of constant and time-varying inputs.
Connects constant sources with values 0 (u1) and 1 (u2) to an Atan2 block
and verifies that atan2(0, 1) = 0. A second Atan2 block is driven by a sine
wave on u1 (amplitude 2) with the x-component (u2) held at 1 so the angle
sweeps negative and positive values while avoiding the atan2(0, 0)
singularity.
"""
test component Atan2
"Constant source providing the first input (y-component)"
c1 = BlockComponents.Sources.Constant(k = 0) {
"Dyad": {
"placement": {
"diagram": {"iconName": "default", "x1": 20, "y1": 20, "x2": 120, "y2": 120, "rot": 0}
},
"tags": []
}
}
"Constant source providing the second input (x-component)"
c2 = BlockComponents.Sources.Constant(k = 1) {
"Dyad": {
"placement": {
"diagram": {"iconName": "default", "x1": 20, "y1": 140, "x2": 120, "y2": 240, "rot": 0}
},
"tags": []
}
}
"Atan2 block under test"
atan2_block = BlockComponents.Math.Atan2() {
"Dyad": {
"placement": {
"diagram": {"iconName": "default", "x1": 160, "y1": 110, "x2": 260, "y2": 210, "rot": 0}
},
"tags": []
}
}
"Sine source sweeping the y-component of the second block"
sine1 = BlockComponents.Sources.Sine(amplitude = 2, frequency = 1) {
"Dyad": {
"placement": {
"diagram": {"iconName": "default", "x1": 20, "y1": 260, "x2": 120, "y2": 360, "rot": 0}
},
"tags": []
}
}
"Second Atan2 block driven by the sine source"
atan2_block_2 = BlockComponents.Math.Atan2() {
"Dyad": {
"placement": {
"diagram": {"iconName": "default", "x1": 160, "y1": 290, "x2": 260, "y2": 390, "rot": 0}
},
"tags": []
}
}
relations
connect(c1.y, atan2_block.u1) {
"Dyad": {
"edges": [{"S": 1, "M": [{"x": 140, "y": 70}, {"x": 140, "y": 130}], "E": 2}],
"renderStyle": "standard"
}
}
connect(c2.y, atan2_block.u2) {"Dyad": {"edges": [{"S": 1, "M": [], "E": 2}], "renderStyle": "standard"}}
connect(sine1.y, atan2_block_2.u1) {"Dyad": {"edges": [{"S": 1, "M": [], "E": 2}], "renderStyle": "standard"}}
connect(c2.y, atan2_block_2.u2) {
"Dyad": {
"edges": [{"S": 1, "M": [], "E": -1}, {"S": -1, "M": [{"x": 140, "y": 370}], "E": 2}],
"junctions": [{"x": 140, "y": 190}],
"renderStyle": "standard"
}
}
metadata {
"Dyad": {
"icons": {"default": "dyad://BlockComponents/Example.svg"},
"tests": {
"case1": {
"stop": 1,
"expect": {"signals": ["atan2_block.y", "atan2_block_2.y", "sine1.y"]}
}
}
}
}
endFlattened Source
dyad
"""
Computes the four-quadrant arc tangent of constant and time-varying inputs.
Connects constant sources with values 0 (u1) and 1 (u2) to an Atan2 block
and verifies that atan2(0, 1) = 0. A second Atan2 block is driven by a sine
wave on u1 (amplitude 2) with the x-component (u2) held at 1 so the angle
sweeps negative and positive values while avoiding the atan2(0, 0)
singularity.
"""
test component Atan2
"Constant source providing the first input (y-component)"
c1 = BlockComponents.Sources.Constant(k = 0) {
"Dyad": {
"placement": {
"diagram": {"iconName": "default", "x1": 20, "y1": 20, "x2": 120, "y2": 120, "rot": 0}
},
"tags": []
}
}
"Constant source providing the second input (x-component)"
c2 = BlockComponents.Sources.Constant(k = 1) {
"Dyad": {
"placement": {
"diagram": {"iconName": "default", "x1": 20, "y1": 140, "x2": 120, "y2": 240, "rot": 0}
},
"tags": []
}
}
"Atan2 block under test"
atan2_block = BlockComponents.Math.Atan2() {
"Dyad": {
"placement": {
"diagram": {"iconName": "default", "x1": 160, "y1": 110, "x2": 260, "y2": 210, "rot": 0}
},
"tags": []
}
}
"Sine source sweeping the y-component of the second block"
sine1 = BlockComponents.Sources.Sine(amplitude = 2, frequency = 1) {
"Dyad": {
"placement": {
"diagram": {"iconName": "default", "x1": 20, "y1": 260, "x2": 120, "y2": 360, "rot": 0}
},
"tags": []
}
}
"Second Atan2 block driven by the sine source"
atan2_block_2 = BlockComponents.Math.Atan2() {
"Dyad": {
"placement": {
"diagram": {"iconName": "default", "x1": 160, "y1": 290, "x2": 260, "y2": 390, "rot": 0}
},
"tags": []
}
}
relations
connect(c1.y, atan2_block.u1) {
"Dyad": {
"edges": [{"S": 1, "M": [{"x": 140, "y": 70}, {"x": 140, "y": 130}], "E": 2}],
"renderStyle": "standard"
}
}
connect(c2.y, atan2_block.u2) {"Dyad": {"edges": [{"S": 1, "M": [], "E": 2}], "renderStyle": "standard"}}
connect(sine1.y, atan2_block_2.u1) {"Dyad": {"edges": [{"S": 1, "M": [], "E": 2}], "renderStyle": "standard"}}
connect(c2.y, atan2_block_2.u2) {
"Dyad": {
"edges": [{"S": 1, "M": [], "E": -1}, {"S": -1, "M": [{"x": 140, "y": 370}], "E": 2}],
"junctions": [{"x": 140, "y": 190}],
"renderStyle": "standard"
}
}
metadata {
"Dyad": {
"icons": {"default": "dyad://BlockComponents/Example.svg"},
"tests": {
"case1": {
"stop": 1,
"expect": {"signals": ["atan2_block.y", "atan2_block_2.y", "sine1.y"]}
}
}
}
}
endTest Cases
julia
using BlockComponents
using DyadInterface: TransientAnalysis, rebuild_sol, ODEAlg
using ModelingToolkit: toggle_namespacing, get_initial_conditions, @named
using CSV, DataFrames, Plots
snapshotsdir = joinpath(dirname(dirname(pathof(BlockComponents))), "test", "snapshots")<< @setup-block not executed in draft mode >>Test Case case1
julia
@named model_case1 = BlockComponents.Math.Tests.Atan2()
model_case1 = toggle_namespacing(model_case1, false)
model_case1 = toggle_namespacing(model_case1, true)
result_case1 = TransientAnalysis(; model = model_case1, alg = ODEAlg.Auto(), start = 0e+0, stop = 1e+0, abstol=1e-6, reltol=1e-6)
sol_case1 = rebuild_sol(result_case1)<< @setup-block not executed in draft mode >>julia
df_case1 = DataFrame(:t => sol_case1[:t], :actual => sol_case1[model_case1.atan2_block.y])
dfr_case1 = try CSV.read(joinpath(snapshotsdir, "BlockComponents.Math.Tests.Atan2_case1_sig0.ref"), DataFrame); catch e; nothing; end
plt = plot(sol_case1, idxs=[model_case1.atan2_block.y], width=2, label="Actual value of atan2_block.y")
if !isnothing(dfr_case1)
scatter!(plt, dfr_case1.t, dfr_case1.expected, mc=:red, ms=3, label="Expected value of atan2_block.y")
end<< @setup-block not executed in draft mode >>julia
plt<< @example-block not executed in draft mode >>julia
df_case1 = DataFrame(:t => sol_case1[:t], :actual => sol_case1[model_case1.atan2_block_2.y])
dfr_case1 = try CSV.read(joinpath(snapshotsdir, "BlockComponents.Math.Tests.Atan2_case1_sig1.ref"), DataFrame); catch e; nothing; end
plt = plot(sol_case1, idxs=[model_case1.atan2_block_2.y], width=2, label="Actual value of atan2_block_2.y")
if !isnothing(dfr_case1)
scatter!(plt, dfr_case1.t, dfr_case1.expected, mc=:red, ms=3, label="Expected value of atan2_block_2.y")
end<< @setup-block not executed in draft mode >>julia
plt<< @example-block not executed in draft mode >>julia
df_case1 = DataFrame(:t => sol_case1[:t], :actual => sol_case1[model_case1.sine1.y])
dfr_case1 = try CSV.read(joinpath(snapshotsdir, "BlockComponents.Math.Tests.Atan2_case1_sig2.ref"), DataFrame); catch e; nothing; end
plt = plot(sol_case1, idxs=[model_case1.sine1.y], width=2, label="Actual value of sine1.y")
if !isnothing(dfr_case1)
scatter!(plt, dfr_case1.t, dfr_case1.expected, mc=:red, ms=3, label="Expected value of sine1.y")
end<< @setup-block not executed in draft mode >>julia
plt<< @example-block not executed in draft mode >>