|
| 1 | +"""Tests for xrspatial.corridor.least_cost_corridor.""" |
| 2 | + |
| 3 | +try: |
| 4 | + import dask.array as da |
| 5 | +except ImportError: |
| 6 | + da = None |
| 7 | + |
| 8 | +import numpy as np |
| 9 | +import pytest |
| 10 | +import xarray as xr |
| 11 | + |
| 12 | +from xrspatial.corridor import least_cost_corridor |
| 13 | +from xrspatial.cost_distance import cost_distance |
| 14 | +from xrspatial.utils import has_cuda_and_cupy |
| 15 | + |
| 16 | + |
| 17 | +def _make_raster(data, backend="numpy", chunks=(3, 3)): |
| 18 | + """Build a DataArray with y/x coords, optionally dask/cupy-backed.""" |
| 19 | + h, w = data.shape |
| 20 | + raster = xr.DataArray( |
| 21 | + data.astype(np.float64), |
| 22 | + dims=["y", "x"], |
| 23 | + attrs={"res": (1.0, 1.0)}, |
| 24 | + ) |
| 25 | + raster["y"] = np.arange(h, dtype=np.float64) |
| 26 | + raster["x"] = np.arange(w, dtype=np.float64) |
| 27 | + if "dask" in backend and da is not None: |
| 28 | + raster.data = da.from_array(raster.data, chunks=chunks) |
| 29 | + if "cupy" in backend and has_cuda_and_cupy(): |
| 30 | + import cupy |
| 31 | + |
| 32 | + if isinstance(raster.data, da.Array): |
| 33 | + raster.data = raster.data.map_blocks(cupy.asarray) |
| 34 | + else: |
| 35 | + raster.data = cupy.asarray(raster.data) |
| 36 | + return raster |
| 37 | + |
| 38 | + |
| 39 | +def _compute(arr): |
| 40 | + """Extract numpy data from DataArray (works for numpy, dask, or cupy).""" |
| 41 | + if da is not None and isinstance(arr.data, da.Array): |
| 42 | + val = arr.data.compute() |
| 43 | + if hasattr(val, "get"): |
| 44 | + return val.get() |
| 45 | + return val |
| 46 | + if hasattr(arr.data, "get"): |
| 47 | + return arr.data.get() |
| 48 | + return arr.data |
| 49 | + |
| 50 | + |
| 51 | +# ----------------------------------------------------------------------- |
| 52 | +# Basic corridor correctness |
| 53 | +# ----------------------------------------------------------------------- |
| 54 | + |
| 55 | + |
| 56 | +@pytest.mark.parametrize( |
| 57 | + "backend", ["numpy", "dask+numpy", "cupy", "dask+cupy"] |
| 58 | +) |
| 59 | +def test_basic_corridor_symmetry(backend): |
| 60 | + """Corridor between two sources on uniform friction is symmetric.""" |
| 61 | + n = 7 |
| 62 | + friction_data = np.ones((n, n)) |
| 63 | + |
| 64 | + src_a = np.zeros((n, n)) |
| 65 | + src_a[3, 0] = 1.0 # left edge |
| 66 | + |
| 67 | + src_b = np.zeros((n, n)) |
| 68 | + src_b[3, 6] = 1.0 # right edge |
| 69 | + |
| 70 | + friction = _make_raster(friction_data, backend=backend, chunks=(7, 7)) |
| 71 | + sa = _make_raster(src_a, backend=backend, chunks=(7, 7)) |
| 72 | + sb = _make_raster(src_b, backend=backend, chunks=(7, 7)) |
| 73 | + |
| 74 | + result = least_cost_corridor(friction, sa, sb) |
| 75 | + out = _compute(result) |
| 76 | + |
| 77 | + # Minimum corridor cost should be 0 (after normalization) |
| 78 | + assert np.nanmin(out) == pytest.approx(0.0, abs=1e-5) |
| 79 | + |
| 80 | + # Corridor should be symmetric about the vertical midline |
| 81 | + np.testing.assert_allclose(out[:, :3], out[:, -1:-4:-1], atol=1e-5) |
| 82 | + |
| 83 | + |
| 84 | +@pytest.mark.parametrize( |
| 85 | + "backend", ["numpy", "dask+numpy", "cupy", "dask+cupy"] |
| 86 | +) |
| 87 | +def test_corridor_minimum_on_optimal_path(backend): |
| 88 | + """Cells on the optimal path between sources have corridor value 0.""" |
| 89 | + n = 5 |
| 90 | + friction_data = np.ones((n, n)) |
| 91 | + |
| 92 | + src_a = np.zeros((n, n)) |
| 93 | + src_a[2, 0] = 1.0 |
| 94 | + |
| 95 | + src_b = np.zeros((n, n)) |
| 96 | + src_b[2, 4] = 1.0 |
| 97 | + |
| 98 | + friction = _make_raster(friction_data, backend=backend, chunks=(5, 5)) |
| 99 | + sa = _make_raster(src_a, backend=backend, chunks=(5, 5)) |
| 100 | + sb = _make_raster(src_b, backend=backend, chunks=(5, 5)) |
| 101 | + |
| 102 | + result = least_cost_corridor(friction, sa, sb) |
| 103 | + out = _compute(result) |
| 104 | + |
| 105 | + # The middle row (row 2) should be the optimal path on uniform friction. |
| 106 | + # All cells on row 2 should have the minimum corridor value (0). |
| 107 | + for col in range(n): |
| 108 | + assert out[2, col] == pytest.approx(0.0, abs=1e-5) |
| 109 | + |
| 110 | + |
| 111 | +# ----------------------------------------------------------------------- |
| 112 | +# Threshold tests |
| 113 | +# ----------------------------------------------------------------------- |
| 114 | + |
| 115 | + |
| 116 | +@pytest.mark.parametrize( |
| 117 | + "backend", ["numpy", "dask+numpy", "cupy", "dask+cupy"] |
| 118 | +) |
| 119 | +def test_absolute_threshold(backend): |
| 120 | + """Absolute threshold masks cells with normalized cost > threshold.""" |
| 121 | + n = 7 |
| 122 | + friction_data = np.ones((n, n)) |
| 123 | + |
| 124 | + src_a = np.zeros((n, n)) |
| 125 | + src_a[3, 0] = 1.0 |
| 126 | + |
| 127 | + src_b = np.zeros((n, n)) |
| 128 | + src_b[3, 6] = 1.0 |
| 129 | + |
| 130 | + friction = _make_raster(friction_data, backend=backend, chunks=(7, 7)) |
| 131 | + sa = _make_raster(src_a, backend=backend, chunks=(7, 7)) |
| 132 | + sb = _make_raster(src_b, backend=backend, chunks=(7, 7)) |
| 133 | + |
| 134 | + result = least_cost_corridor(friction, sa, sb, threshold=0.5) |
| 135 | + out = _compute(result) |
| 136 | + |
| 137 | + # Cells with normalized cost > 0.5 should be NaN |
| 138 | + assert np.all(np.isnan(out) | (out <= 0.5 + 1e-5)) |
| 139 | + |
| 140 | + # The optimal path (row 3) should not be masked |
| 141 | + for col in range(n): |
| 142 | + assert np.isfinite(out[3, col]) |
| 143 | + |
| 144 | + |
| 145 | +@pytest.mark.parametrize( |
| 146 | + "backend", ["numpy", "dask+numpy", "cupy", "dask+cupy"] |
| 147 | +) |
| 148 | +def test_relative_threshold(backend): |
| 149 | + """Relative threshold uses fraction of minimum corridor cost.""" |
| 150 | + n = 7 |
| 151 | + friction_data = np.ones((n, n)) |
| 152 | + |
| 153 | + src_a = np.zeros((n, n)) |
| 154 | + src_a[3, 0] = 1.0 |
| 155 | + |
| 156 | + src_b = np.zeros((n, n)) |
| 157 | + src_b[3, 6] = 1.0 |
| 158 | + |
| 159 | + friction = _make_raster(friction_data, backend=backend, chunks=(7, 7)) |
| 160 | + sa = _make_raster(src_a, backend=backend, chunks=(7, 7)) |
| 161 | + sb = _make_raster(src_b, backend=backend, chunks=(7, 7)) |
| 162 | + |
| 163 | + # No threshold -- get full corridor |
| 164 | + full = least_cost_corridor(friction, sa, sb) |
| 165 | + full_out = _compute(full) |
| 166 | + |
| 167 | + # Relative threshold of 50% |
| 168 | + result = least_cost_corridor( |
| 169 | + friction, sa, sb, threshold=0.5, relative=True |
| 170 | + ) |
| 171 | + out = _compute(result) |
| 172 | + |
| 173 | + # Count finite cells -- threshold version should have fewer |
| 174 | + assert np.sum(np.isfinite(out)) < np.sum(np.isfinite(full_out)) |
| 175 | + |
| 176 | + # Optimal path cells should survive |
| 177 | + for col in range(n): |
| 178 | + assert np.isfinite(out[3, col]) |
| 179 | + |
| 180 | + |
| 181 | +# ----------------------------------------------------------------------- |
| 182 | +# Precomputed cost-distance surfaces |
| 183 | +# ----------------------------------------------------------------------- |
| 184 | + |
| 185 | + |
| 186 | +def test_precomputed_matches_regular(): |
| 187 | + """Precomputed=True with manual cost_distance matches default path.""" |
| 188 | + n = 7 |
| 189 | + friction_data = np.ones((n, n)) |
| 190 | + |
| 191 | + src_a = np.zeros((n, n)) |
| 192 | + src_a[3, 0] = 1.0 |
| 193 | + |
| 194 | + src_b = np.zeros((n, n)) |
| 195 | + src_b[3, 6] = 1.0 |
| 196 | + |
| 197 | + friction = _make_raster(friction_data) |
| 198 | + sa = _make_raster(src_a) |
| 199 | + sb = _make_raster(src_b) |
| 200 | + |
| 201 | + # Regular path |
| 202 | + result_regular = least_cost_corridor(friction, sa, sb) |
| 203 | + |
| 204 | + # Precomputed path |
| 205 | + cd_a = cost_distance(sa, friction) |
| 206 | + cd_b = cost_distance(sb, friction) |
| 207 | + result_precomputed = least_cost_corridor( |
| 208 | + friction, cd_a, cd_b, precomputed=True |
| 209 | + ) |
| 210 | + |
| 211 | + np.testing.assert_allclose( |
| 212 | + _compute(result_regular), |
| 213 | + _compute(result_precomputed), |
| 214 | + atol=1e-5, |
| 215 | + ) |
| 216 | + |
| 217 | + |
| 218 | +# ----------------------------------------------------------------------- |
| 219 | +# Multi-source pairwise |
| 220 | +# ----------------------------------------------------------------------- |
| 221 | + |
| 222 | + |
| 223 | +def test_pairwise_corridor(): |
| 224 | + """Pairwise mode with 3 sources returns Dataset with 3 corridors.""" |
| 225 | + n = 7 |
| 226 | + friction_data = np.ones((n, n)) |
| 227 | + |
| 228 | + sources = [] |
| 229 | + for r, c in [(0, 0), (0, 6), (6, 3)]: |
| 230 | + s = np.zeros((n, n)) |
| 231 | + s[r, c] = 1.0 |
| 232 | + sources.append(_make_raster(s)) |
| 233 | + |
| 234 | + friction = _make_raster(friction_data) |
| 235 | + |
| 236 | + result = least_cost_corridor( |
| 237 | + friction, sources=sources, pairwise=True |
| 238 | + ) |
| 239 | + |
| 240 | + assert isinstance(result, xr.Dataset) |
| 241 | + assert set(result.data_vars) == { |
| 242 | + "corridor_0_1", |
| 243 | + "corridor_0_2", |
| 244 | + "corridor_1_2", |
| 245 | + } |
| 246 | + |
| 247 | + # Each corridor should have minimum 0 |
| 248 | + for name in result.data_vars: |
| 249 | + out = _compute(result[name]) |
| 250 | + assert np.nanmin(out) == pytest.approx(0.0, abs=1e-5) |
| 251 | + |
| 252 | + |
| 253 | +def test_pairwise_two_sources_returns_dataset(): |
| 254 | + """Pairwise=True with exactly 2 sources still returns a Dataset.""" |
| 255 | + n = 5 |
| 256 | + friction_data = np.ones((n, n)) |
| 257 | + |
| 258 | + s0 = np.zeros((n, n)) |
| 259 | + s0[0, 0] = 1.0 |
| 260 | + s1 = np.zeros((n, n)) |
| 261 | + s1[4, 4] = 1.0 |
| 262 | + |
| 263 | + friction = _make_raster(friction_data) |
| 264 | + result = least_cost_corridor( |
| 265 | + friction, |
| 266 | + sources=[_make_raster(s0), _make_raster(s1)], |
| 267 | + pairwise=True, |
| 268 | + ) |
| 269 | + |
| 270 | + assert isinstance(result, xr.Dataset) |
| 271 | + assert "corridor_0_1" in result.data_vars |
| 272 | + |
| 273 | + |
| 274 | +# ----------------------------------------------------------------------- |
| 275 | +# NaN / barrier handling |
| 276 | +# ----------------------------------------------------------------------- |
| 277 | + |
| 278 | + |
| 279 | +@pytest.mark.parametrize( |
| 280 | + "backend", ["numpy", "dask+numpy", "cupy", "dask+cupy"] |
| 281 | +) |
| 282 | +def test_barrier_blocks_corridor(backend): |
| 283 | + """NaN barrier between sources makes certain cells unreachable.""" |
| 284 | + n = 7 |
| 285 | + friction_data = np.ones((n, n)) |
| 286 | + # Wall of NaN except a gap at row 3 |
| 287 | + friction_data[:3, 3] = np.nan |
| 288 | + friction_data[4:, 3] = np.nan |
| 289 | + |
| 290 | + src_a = np.zeros((n, n)) |
| 291 | + src_a[3, 0] = 1.0 |
| 292 | + |
| 293 | + src_b = np.zeros((n, n)) |
| 294 | + src_b[3, 6] = 1.0 |
| 295 | + |
| 296 | + friction = _make_raster(friction_data, backend=backend, chunks=(7, 7)) |
| 297 | + sa = _make_raster(src_a, backend=backend, chunks=(7, 7)) |
| 298 | + sb = _make_raster(src_b, backend=backend, chunks=(7, 7)) |
| 299 | + |
| 300 | + result = least_cost_corridor(friction, sa, sb) |
| 301 | + out = _compute(result) |
| 302 | + |
| 303 | + # The gap row should still be reachable |
| 304 | + assert np.isfinite(out[3, 3]) |
| 305 | + |
| 306 | + |
| 307 | +@pytest.mark.parametrize( |
| 308 | + "backend", ["numpy", "dask+numpy", "cupy", "dask+cupy"] |
| 309 | +) |
| 310 | +def test_unreachable_sources(backend): |
| 311 | + """Full barrier between sources produces all-NaN corridor.""" |
| 312 | + n = 5 |
| 313 | + friction_data = np.ones((n, n)) |
| 314 | + friction_data[:, 2] = np.nan # impenetrable wall |
| 315 | + |
| 316 | + src_a = np.zeros((n, n)) |
| 317 | + src_a[2, 0] = 1.0 |
| 318 | + |
| 319 | + src_b = np.zeros((n, n)) |
| 320 | + src_b[2, 4] = 1.0 |
| 321 | + |
| 322 | + friction = _make_raster(friction_data, backend=backend, chunks=(5, 5)) |
| 323 | + sa = _make_raster(src_a, backend=backend, chunks=(5, 5)) |
| 324 | + sb = _make_raster(src_b, backend=backend, chunks=(5, 5)) |
| 325 | + |
| 326 | + result = least_cost_corridor(friction, sa, sb) |
| 327 | + out = _compute(result) |
| 328 | + |
| 329 | + assert np.all(np.isnan(out)) |
| 330 | + |
| 331 | + |
| 332 | +# ----------------------------------------------------------------------- |
| 333 | +# Edge cases and validation |
| 334 | +# ----------------------------------------------------------------------- |
| 335 | + |
| 336 | + |
| 337 | +def test_single_cell_raster(): |
| 338 | + """1x1 raster where both sources are the same cell.""" |
| 339 | + friction = _make_raster(np.ones((1, 1))) |
| 340 | + src = _make_raster(np.ones((1, 1))) |
| 341 | + |
| 342 | + result = least_cost_corridor(friction, src, src) |
| 343 | + out = _compute(result) |
| 344 | + |
| 345 | + assert out[0, 0] == pytest.approx(0.0, abs=1e-5) |
| 346 | + |
| 347 | + |
| 348 | +def test_missing_sources_raises(): |
| 349 | + """Omitting both source_a/source_b and sources raises ValueError.""" |
| 350 | + friction = _make_raster(np.ones((3, 3))) |
| 351 | + with pytest.raises(ValueError, match="source_a and source_b are required"): |
| 352 | + least_cost_corridor(friction) |
| 353 | + |
| 354 | + |
| 355 | +def test_both_source_modes_raises(): |
| 356 | + """Providing source_a/source_b AND sources raises ValueError.""" |
| 357 | + friction = _make_raster(np.ones((3, 3))) |
| 358 | + src = _make_raster(np.ones((3, 3))) |
| 359 | + with pytest.raises(ValueError, match="not both"): |
| 360 | + least_cost_corridor(friction, src, src, sources=[src, src]) |
| 361 | + |
| 362 | + |
| 363 | +def test_negative_threshold_raises(): |
| 364 | + """Negative threshold raises ValueError.""" |
| 365 | + friction = _make_raster(np.ones((3, 3))) |
| 366 | + src = _make_raster(np.ones((3, 3))) |
| 367 | + with pytest.raises(ValueError, match="non-negative"): |
| 368 | + least_cost_corridor(friction, src, src, threshold=-1.0) |
| 369 | + |
| 370 | + |
| 371 | +def test_single_source_in_list_raises(): |
| 372 | + """sources with fewer than 2 entries raises ValueError.""" |
| 373 | + friction = _make_raster(np.ones((3, 3))) |
| 374 | + src = _make_raster(np.ones((3, 3))) |
| 375 | + with pytest.raises(ValueError, match="at least 2"): |
| 376 | + least_cost_corridor(friction, sources=[src]) |
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