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-rw-r--r--szilagyi/_nomogram.py79
1 files changed, 79 insertions, 0 deletions
diff --git a/szilagyi/_nomogram.py b/szilagyi/_nomogram.py
new file mode 100644
index 0000000..4dcd141
--- /dev/null
+++ b/szilagyi/_nomogram.py
@@ -0,0 +1,79 @@
+import math
+from collections import deque
+
+from . import _dataset
+
+
+class NomogramEdgeCase(Exception):
+ def __init__(self, value):
+ self.value = value
+
+
+def look_downwards(data, x, start):
+ for i in range(start, 0, -1):
+ if data[i - 1].x < x:
+ break
+ else:
+ raise IndexError
+ return i - 1
+
+
+def look_upwards(data, x, start):
+ for i in range(start, len(data)):
+ if data[i + 1].x > x:
+ break
+ else:
+ raise IndexError
+ return i
+
+
+def find_segment(data, x):
+ width = data[-1].x - data[0].x
+ relative = x - data[0].x
+ candidate = math.floor(relative / width * len(data))
+ look = look_downwards if data[candidate].x > x else look_upwards # May raise IndexError
+ candidate = look(data, x, candidate)
+ return candidate, candidate + 1
+
+
+def find_boundary_curves(swis, x, y):
+ segments = deque()
+ for index, data in swis:
+ i, j = find_segment(data, x)
+ if data[i].y > y and data[j].y > y:
+ segments.append((index, data, i, j))
+ break
+ if data[i].y < y and data[j].y < y:
+ if segments:
+ segments.popleft()
+ segments.append((index, data, i, j))
+ if len(segments) == 3:
+ middle = segments[1][1]
+ run = middle[j].x - middle[i].x
+ if run == 0:
+ raise NomogramEdgeCase(segments[1][0]) # Tidy up the dataset nonetheless
+ slope = (middle[j].y - middle[i].y) / run
+ intercept = middle[j].y - slope * middle[j].x
+ value = slope * x + intercept
+ if value == y:
+ raise NomogramEdgeCase(segments[1][0])
+ if value < y:
+ segments.popleft()
+ else:
+ segments.pop()
+ if len(segments) == 1:
+ raise NomogramEdgeCase(-10)
+ return segments
+
+
+def calculate_swi(x, y):
+ try:
+ low, high = find_boundary_curves(_dataset.INDICES, x, y)
+ vec = _dataset.Vector(x, y)
+ dist_to_low = min(abs(vec - p) for p in (low[1][low[2]], low[1][low[2]]))
+ dist_to_high = min(abs(vec - p) for p in (high[1][high[2]], high[1][high[2]]))
+ return dist_to_low / (dist_to_low + dist_to_high) * (high[0] - low[0]) + low[0]
+ except NomogramEdgeCase as edge:
+ return edge.value
+ except IndexError:
+ return -10 # Reduce the amount of cases in which it may occur