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import math
from typing import List
from itertools import chain
import networkx as nx
import plotly.graph_objs as go
import streamlit as st
# Start and end are lists defining start and end points
# Edge x and y are lists used to construct the graph
# arrowAngle and arrowLength define properties of the arrowhead
# arrowPos is None, 'middle' or 'end' based on where on the edge you want the arrow to appear
# arrowLength is the length of the arrowhead
# arrowAngle is the angle in degrees that the arrowhead makes with the edge
# dotSize is the plotly scatter dot size you are using (used to even out line spacing when you have a mix of edge lengths)
def addEdge(start, end, edge_x, edge_y, lengthFrac=1, arrowPos = None, arrowLength=0.025, arrowAngle = 30, dotSize=20):
# Get start and end cartesian coordinates
x0, y0 = start
x1, y1 = end
# Incorporate the fraction of this segment covered by a dot into total reduction
length = math.sqrt( (x1-x0)**2 + (y1-y0)**2 )
dotSizeConversion = .0565/20 # length units per dot size
convertedDotDiameter = dotSize * dotSizeConversion
lengthFracReduction = convertedDotDiameter / length
lengthFrac = lengthFrac - lengthFracReduction
# If the line segment should not cover the entire distance, get actual start and end coords
skipX = (x1-x0)*(1-lengthFrac)
skipY = (y1-y0)*(1-lengthFrac)
x0 = x0 + skipX/2
x1 = x1 - skipX/2
y0 = y0 + skipY/2
y1 = y1 - skipY/2
# Append line corresponding to the edge
edge_x.append(x0)
edge_x.append(x1)
edge_x.append(None) # Prevents a line being drawn from end of this edge to start of next edge
edge_y.append(y0)
edge_y.append(y1)
edge_y.append(None)
# Draw arrow
if not arrowPos == None:
# Find the point of the arrow; assume is at end unless told middle
pointx = x1
pointy = y1
eta = math.degrees(math.atan((x1-x0)/(y1-y0))) if y1!=y0 else 90.0
if arrowPos == 'middle' or arrowPos == 'mid':
pointx = x0 + (x1-x0)/2
pointy = y0 + (y1-y0)/2
# Find the directions the arrows are pointing
signx = (x1-x0)/abs(x1-x0) if x1!=x0 else +1 #verify this once
signy = (y1-y0)/abs(y1-y0) if y1!=y0 else +1 #verified
# Append first arrowhead
dx = arrowLength * math.sin(math.radians(eta + arrowAngle))
dy = arrowLength * math.cos(math.radians(eta + arrowAngle))
edge_x.append(pointx)
edge_x.append(pointx - signx**2 * signy * dx)
edge_x.append(None)
edge_y.append(pointy)
edge_y.append(pointy - signx**2 * signy * dy)
edge_y.append(None)
# And second arrowhead
dx = arrowLength * math.sin(math.radians(eta - arrowAngle))
dy = arrowLength * math.cos(math.radians(eta - arrowAngle))
edge_x.append(pointx)
edge_x.append(pointx - signx**2 * signy * dx)
edge_x.append(None)
edge_y.append(pointy)
edge_y.append(pointy - signx**2 * signy * dy)
edge_y.append(None)
return edge_x, edge_y
def add_arrows(source_x: List[float], target_x: List[float], source_y: List[float], target_y: List[float],
arrowLength=0.025, arrowAngle=30):
pointx = list(map(lambda x: x[0] + (x[1] - x[0]) / 2, zip(source_x, target_x)))
pointy = list(map(lambda x: x[0] + (x[1] - x[0]) / 2, zip(source_y, target_y)))
etas = list(map(lambda x: math.degrees(math.atan((x[1] - x[0]) / (x[3] - x[2]))),
zip(source_x, target_x, source_y, target_y)))
signx = list(map(lambda x: (x[1] - x[0]) / abs(x[1] - x[0]), zip(source_x, target_x)))
signy = list(map(lambda x: (x[1] - x[0]) / abs(x[1] - x[0]), zip(source_y, target_y)))
dx = list(map(lambda x: arrowLength * math.sin(math.radians(x + arrowAngle)), etas))
dy = list(map(lambda x: arrowLength * math.cos(math.radians(x + arrowAngle)), etas))
none_spacer = [None for _ in range(len(pointx))]
arrow_line_x = list(map(lambda x: x[0] - x[1] ** 2 * x[2] * x[3], zip(pointx, signx, signy, dx)))
arrow_line_y = list(map(lambda x: x[0] - x[1] ** 2 * x[2] * x[3], zip(pointy, signx, signy, dy)))
arrow_line_1x_coords = list(chain(*zip(pointx, arrow_line_x, none_spacer)))
arrow_line_1y_coords = list(chain(*zip(pointy, arrow_line_y, none_spacer)))
dx = list(map(lambda x: arrowLength * math.sin(math.radians(x - arrowAngle)), etas))
dy = list(map(lambda x: arrowLength * math.cos(math.radians(x - arrowAngle)), etas))
none_spacer = [None for _ in range(len(pointx))]
arrow_line_x = list(map(lambda x: x[0] - x[1] ** 2 * x[2] * x[3], zip(pointx, signx, signy, dx)))
arrow_line_y = list(map(lambda x: x[0] - x[1] ** 2 * x[2] * x[3], zip(pointy, signx, signy, dy)))
arrow_line_2x_coords = list(chain(*zip(pointx, arrow_line_x, none_spacer)))
arrow_line_2y_coords = list(chain(*zip(pointy, arrow_line_y, none_spacer)))
x_arrows = arrow_line_1x_coords + arrow_line_2x_coords
y_arrows = arrow_line_1y_coords + arrow_line_2y_coords
return x_arrows, y_arrows
@st.cache(allow_output_mutation=True)
def get_pipeline_graph(pipeline):
# Controls for how the graph is drawn
nodeColor = 'Blue'
nodeSize = 20
lineWidth = 2
lineColor = '#000000'
G = pipeline.graph
pos = nx.spring_layout(G)
for node in G.nodes:
G.nodes[node]['pos'] = list(pos[node])
# Make list of nodes for plotly
node_x = []
node_y = []
for node in G.nodes():
x, y = G.nodes[node]['pos']
node_x.append(x)
node_y.append(y)
# Make a list of edges for plotly, including line segments that result in arrowheads
edge_x = []
edge_y = []
for edge in G.edges():
start = G.nodes[edge[0]]['pos']
end = G.nodes[edge[1]]['pos']
# addEdge(start, end, edge_x, edge_y, lengthFrac=1, arrowPos = None, arrowLength=0.025, arrowAngle = 30, dotSize=20)
edge_x, edge_y = addEdge(start, end, edge_x, edge_y, lengthFrac=.8, arrowPos='end', arrowLength=.04, arrowAngle=30, dotSize=nodeSize)
edge_trace = go.Scatter(x=edge_x, y=edge_y, line=dict(width=lineWidth, color=lineColor), hoverinfo='none', mode='lines')
node_trace = go.Scatter(x=node_x, y=node_y, mode='markers', hoverinfo='text', marker=dict(showscale=False, color = nodeColor, size=nodeSize))
fig = go.Figure(data=[edge_trace, node_trace],
layout=go.Layout(
showlegend=False,
hovermode='closest',
margin=dict(b=20,l=5,r=5,t=40),
xaxis=dict(showgrid=False, zeroline=False, showticklabels=False),
yaxis=dict(showgrid=False, zeroline=False, showticklabels=False))
)
# Note: if you don't use fixed ratio axes, the arrows won't be symmetrical
fig.update_layout(yaxis = dict(scaleanchor = "x", scaleratio = 1), plot_bgcolor='rgb(255,255,255)')
return fig |