24 characterization tests for bistatic radar geometry: find_scatter_cells filtering (dBZ threshold, distance floor/ceiling), bearing math, frequency scaling, and classify/1 buckets.
216 lines
9.6 KiB
Elixir
216 lines
9.6 KiB
Elixir
defmodule Microwaveprop.Propagation.RainScatterTest do
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use ExUnit.Case, async: true
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alias Microwaveprop.Propagation.RainScatter
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# DFW as a reference observer for geometry tests.
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@obs_lat 32.78
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@obs_lon -96.80
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describe "find_scatter_cells/4" do
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test "returns an empty list for an empty cell list" do
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assert RainScatter.find_scatter_cells([], @obs_lat, @obs_lon, 10.0) == []
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end
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test "filters cells below the 25 dBZ minimum reflectivity threshold" do
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# A 24.9 dBZ cell at 50 km is dropped; exactly 25.0 dBZ survives.
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below = RainScatter.find_scatter_cells([{33.23, @obs_lon, 24.9}], @obs_lat, @obs_lon, 10.0)
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at_threshold = RainScatter.find_scatter_cells([{33.23, @obs_lon, 25.0}], @obs_lat, @obs_lon, 10.0)
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assert below == []
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assert [%{dbz: 25.0}] = at_threshold
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end
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test "filters cells closer than 10 km from the observer" do
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# 0.089 deg lat ≈ 9.9 km: dropped. 0.09 deg lat ≈ 10.0 km: kept.
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too_close = RainScatter.find_scatter_cells([{@obs_lat + 0.089, @obs_lon, 50.0}], @obs_lat, @obs_lon, 10.0)
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at_edge = RainScatter.find_scatter_cells([{@obs_lat + 0.09, @obs_lon, 50.0}], @obs_lat, @obs_lon, 10.0)
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assert too_close == []
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assert [%{distance_km: 10.0}] = at_edge
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end
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test "filters cells farther than the 300 km maximum scatter range" do
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# 2.5 deg lat ≈ 278 km: kept. 2.70 deg lat ≈ 300.1 km: dropped.
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in_range = RainScatter.find_scatter_cells([{@obs_lat + 2.5, @obs_lon, 50.0}], @obs_lat, @obs_lon, 10.0)
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out_of_range = RainScatter.find_scatter_cells([{@obs_lat + 2.70, @obs_lon, 50.0}], @obs_lat, @obs_lon, 10.0)
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assert [%{distance_km: 278.0}] = in_range
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assert out_of_range == []
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end
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test "drops a cell co-located with the observer (distance ~0, below 10 km floor)" do
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# Same lat/lon as observer — distance 0, filtered by the >= 10 km rule.
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assert RainScatter.find_scatter_cells([{@obs_lat, @obs_lon, 55.0}], @obs_lat, @obs_lon, 10.0) == []
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end
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test "computes haversine distance matching a known geodesic (1° ≈ 111.19 km at the equator)" do
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# One degree of longitude at the equator should be ~111.2 km via haversine.
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[cell] = RainScatter.find_scatter_cells([{0.0, 1.0, 40.0}], 0.0, 0.0, 10.0)
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assert_in_delta cell.distance_km, 111.2, 0.2
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end
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test "reports cardinal bearings of 0° (N), 90° (E), 180° (S), and 270° (W)" do
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north = RainScatter.find_scatter_cells([{@obs_lat + 1.0, @obs_lon, 50.0}], @obs_lat, @obs_lon, 10.0)
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east = RainScatter.find_scatter_cells([{@obs_lat, @obs_lon + 1.3, 50.0}], @obs_lat, @obs_lon, 10.0)
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south = RainScatter.find_scatter_cells([{@obs_lat - 1.0, @obs_lon, 50.0}], @obs_lat, @obs_lon, 10.0)
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west = RainScatter.find_scatter_cells([{@obs_lat, @obs_lon - 1.3, 50.0}], @obs_lat, @obs_lon, 10.0)
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assert [%{bearing: b_n}] = north
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assert [%{bearing: b_e}] = east
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assert [%{bearing: b_s}] = south
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assert [%{bearing: b_w}] = west
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assert b_n == 0.0
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assert b_e == 90.0
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assert b_s == 180.0
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assert b_w == 270.0
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end
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test "bearing is always in [0, 360) — cells to the NW return bearings near 300-330°" do
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[cell] = RainScatter.find_scatter_cells([{@obs_lat + 0.5, @obs_lon - 0.7, 50.0}], @obs_lat, @obs_lon, 10.0)
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assert cell.bearing >= 0.0 and cell.bearing < 360.0
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assert cell.bearing > 270.0 and cell.bearing < 360.0
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end
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test "rounds output fields: lat/lon to 3 decimals, dBZ to 1, distance to 1, bearing to 0, scatter_db to 1" do
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[cell] =
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RainScatter.find_scatter_cells(
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[{33.12345, -96.54321, 42.777}],
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@obs_lat,
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@obs_lon,
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10.0
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)
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assert cell.lat == 33.123
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assert cell.lon == -96.543
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assert cell.dbz == 42.8
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# Distance rounded to one decimal place.
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assert cell.distance_km == Float.round(cell.distance_km, 1)
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# Bearing rounded to a whole-number degree.
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assert cell.bearing == Float.round(cell.bearing, 0)
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# scatter_db rounded to one decimal place.
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assert cell.scatter_db == Float.round(cell.scatter_db, 1)
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end
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test "sorts returned cells strongest-first by scatter_db (descending)" do
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# A closer 30 dBZ cell vs. a farther but stronger 55 dBZ cell — the
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# 55 dBZ cell wins because dBZ dominates the range loss at this geometry.
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cells = [
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# 50 km, weak
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{33.23, @obs_lon, 30.0},
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# 165 km, strong
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{@obs_lat, -95.00, 55.0}
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]
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[first, second] = RainScatter.find_scatter_cells(cells, @obs_lat, @obs_lon, 10.0)
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assert first.scatter_db >= second.scatter_db
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assert first.dbz == 55.0
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assert second.dbz == 30.0
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end
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test "caps the returned list at 20 cells even when more qualify" do
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# 25 qualifying cells, spaced along a northward line 50-300 km out.
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many = for i <- 1..25, do: {@obs_lat + 0.5 + i * 0.05, @obs_lon, 40.0}
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result = RainScatter.find_scatter_cells(many, @obs_lat, @obs_lon, 10.0)
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assert length(result) == 20
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end
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test "frequency gain is monotonically increasing up to ~50 GHz then plateaus" do
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cells = [{33.23, @obs_lon, 40.0}]
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f1 = hd(RainScatter.find_scatter_cells(cells, @obs_lat, @obs_lon, 1.0)).scatter_db
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f3 = hd(RainScatter.find_scatter_cells(cells, @obs_lat, @obs_lon, 3.0)).scatter_db
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f10 = hd(RainScatter.find_scatter_cells(cells, @obs_lat, @obs_lon, 10.0)).scatter_db
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f24 = hd(RainScatter.find_scatter_cells(cells, @obs_lat, @obs_lon, 24.0)).scatter_db
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f50 = hd(RainScatter.find_scatter_cells(cells, @obs_lat, @obs_lon, 50.0)).scatter_db
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f100 = hd(RainScatter.find_scatter_cells(cells, @obs_lat, @obs_lon, 100.0)).scatter_db
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f241 = hd(RainScatter.find_scatter_cells(cells, @obs_lat, @obs_lon, 241.0)).scatter_db
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assert f1 < f3
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assert f3 < f10
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assert f10 < f24
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assert f24 < f50
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# Frequency gain is clamped at 50 GHz — 50, 100, and 241 GHz all give the same scatter_db.
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assert f50 == f100
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assert f100 == f241
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end
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test "frequency factor clamps very low frequencies at 0.5 GHz — 0.1 and 0.5 GHz are equivalent" do
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cells = [{33.23, @obs_lon, 40.0}]
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below_floor = hd(RainScatter.find_scatter_cells(cells, @obs_lat, @obs_lon, 0.1)).scatter_db
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at_floor = hd(RainScatter.find_scatter_cells(cells, @obs_lat, @obs_lon, 0.5)).scatter_db
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assert below_floor == at_floor
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end
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test "scatter_db decreases with distance for fixed dBZ and frequency" do
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near = hd(RainScatter.find_scatter_cells([{@obs_lat + 0.5, @obs_lon, 40.0}], @obs_lat, @obs_lon, 10.0)).scatter_db
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mid = hd(RainScatter.find_scatter_cells([{@obs_lat + 1.5, @obs_lon, 40.0}], @obs_lat, @obs_lon, 10.0)).scatter_db
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far = hd(RainScatter.find_scatter_cells([{@obs_lat + 2.5, @obs_lon, 40.0}], @obs_lat, @obs_lon, 10.0)).scatter_db
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assert near > mid
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assert mid > far
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end
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test "scatter_db increases with dBZ for fixed distance and frequency" do
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weak = hd(RainScatter.find_scatter_cells([{33.23, @obs_lon, 30.0}], @obs_lat, @obs_lon, 10.0)).scatter_db
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mid = hd(RainScatter.find_scatter_cells([{33.23, @obs_lon, 45.0}], @obs_lat, @obs_lon, 10.0)).scatter_db
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strong = hd(RainScatter.find_scatter_cells([{33.23, @obs_lon, 60.0}], @obs_lat, @obs_lon, 10.0)).scatter_db
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assert weak < mid
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assert mid < strong
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# 1 dBZ of additional reflectivity adds ~1 dB of scatter_db.
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assert_in_delta strong - weak, 30.0, 0.1
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end
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test "returned maps have the documented keys only" do
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[cell] = RainScatter.find_scatter_cells([{33.23, @obs_lon, 40.0}], @obs_lat, @obs_lon, 10.0)
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assert cell |> Map.keys() |> Enum.sort() == [:bearing, :dbz, :distance_km, :lat, :lon, :scatter_db]
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end
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end
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describe "classify/1" do
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test "returns :none for an empty list" do
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assert RainScatter.classify([]) == :none
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end
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test "returns :excellent when the top cell scatter_db is at or above -10" do
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assert RainScatter.classify([%{scatter_db: 0.0}]) == :excellent
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assert RainScatter.classify([%{scatter_db: -10.0}]) == :excellent
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end
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test "returns :good when the top cell scatter_db is in [-20, -10)" do
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assert RainScatter.classify([%{scatter_db: -10.1}]) == :good
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assert RainScatter.classify([%{scatter_db: -15.0}]) == :good
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assert RainScatter.classify([%{scatter_db: -20.0}]) == :good
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end
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test "returns :marginal when the top cell scatter_db is in [-30, -20)" do
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assert RainScatter.classify([%{scatter_db: -20.1}]) == :marginal
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assert RainScatter.classify([%{scatter_db: -25.0}]) == :marginal
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assert RainScatter.classify([%{scatter_db: -30.0}]) == :marginal
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end
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test "returns :none when the top cell scatter_db is below -30" do
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assert RainScatter.classify([%{scatter_db: -30.1}]) == :none
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assert RainScatter.classify([%{scatter_db: -50.0}]) == :none
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end
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test "classifies based on the head (strongest) cell only, ignoring weaker tail cells" do
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# List is assumed pre-sorted; a strong head dominates regardless of the tail.
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cells = [%{scatter_db: -5.0}, %{scatter_db: -40.0}, %{scatter_db: -100.0}]
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assert RainScatter.classify(cells) == :excellent
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end
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test "end-to-end: a realistic storm at 50 km, 40 dBZ, 10 GHz classifies as :excellent" do
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cells = RainScatter.find_scatter_cells([{33.23, @obs_lon, 40.0}], @obs_lat, @obs_lon, 10.0)
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assert RainScatter.classify(cells) == :excellent
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end
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test "end-to-end: no cells above threshold → :none" do
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cells = RainScatter.find_scatter_cells([{33.23, @obs_lon, 20.0}], @obs_lat, @obs_lon, 10.0)
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assert RainScatter.classify(cells) == :none
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end
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end
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end
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