In How Create Fishnet works from the ArcGIS Help it says:

Calculating a value for the y-axis coordinate
If you know the angle of rotation, you can compute a value for the Y-Axis Coordinate parameter as follows:

Tangent of angle = x-coordinate / y-coordinate

Fishnet Y-Axis point calculation
For example, the angle is 60 degrees. Assuming the y-coordinate to be 10, then

x-coordinate = tan(60) * 10 = 1.732 * 10 = 17.32

The y-axis coordinate point is (17.32,10).

In Python.

x-coordinate = (math.tan(math.radians(60) * 10) * 10)
print x-coordinate

Perfect that's correct!

Now lets try using a real coordinate

Lat = 51.003757 Long, -114.09341083433694
or in NAD83 UTM Zone 11
x, y = 703919.581359, 5654264.1538 in UTM Zone 11

Using the same formula replacing 10 with the y-coordinate of the lat/long, and x,y of UTM as above none of the results make sense. What am I missing?

  • 2
    You're not going to get projected units at the same angle of rotation as Cartesian degrees. – Vince Nov 11 '14 at 0:12
  • 2
    Is your problem that print math.tan(math.radians(60) * -114.09341083433694) * -114.09341083433694 returns 11.1963055307 when you would expect it be much closer to -114? – PolyGeo Nov 11 '14 at 0:18
  • 1
    @PolyGeo Yes that's the problem – Tristan Forward Nov 11 '14 at 0:33
import arcpy, traceback, os, sys, math
from math import radians,sin,cos
from arcpy import env
env.overwriteOutput = True
env.workspace = outFolder
def showPyMessage():
    arcpy.AddMessage(str(time.ctime()) + " - " + message)
def ShapeMake(pGon,angle):
    for p in part:
        s='%s %s' %(xN,yN)
    return pgonRotated
                                             "RECTANGLE_BY_WIDTH", "ALL", "", "MBG_FIELDS")
    with arcpy.da.SearchCursor(rectangle, ("SHAPE@","MBG_Orientation")) as rows:
        for row in rows:
            shp,angle = row
        del row,rows
    origPoint='%s %s' %(extent.XMin,extent.YMin)
    yPoint='%s %s' %(extent.XMin,extent.YMax)
    endPoint='%s %s' %(extent.XMax,extent.YMax)
    arcpy.CreateFishnet_management(tempf, origPoint,yPoint,
                                   "0", "0", nRows, nCols,endPoint,
                                   "NO_LABELS", "", "POLYGON")
    with arcpy.da.UpdateCursor(tempf, "SHAPE@") as rows:
        for row in rows:
            shp = row[0]
        del row,rows
    arcpy.CopyFeatures_management(tempf, outFolder+os.sep+outFile)
    message = "\n*** PYTHON ERRORS *** "; showPyMessage()
    message = "Python Traceback Info: " + traceback.format_tb(sys.exc_info()[2])[0]; showPyMessage()
    message = "Python Error Info: " +  str(sys.exc_type)+ ": " + str(sys.exc_value) + "\n"; showPyMessage()

this is example of output enter image description here

Yes it is more than 2 lines of code


Here is the answer I ended up using:

    def rotate_point(input_point, center_point, angle=0):
        angle = math.radians(angle)
        x = float(input_point.X) - float(center_point.X)
        y = float(input_point.Y) - float(center_point.Y)
        xr = (x * math.cos(angle)) - (y * math.sin(angle)) + float(center_point.X)
        yr = (x * math.sin(angle)) + (y * math.cos(angle)) + float(center_point.Y)
        return arcpy.Point(xr, yr)
  • Isn't it the answer I gave? – FelixIP Nov 11 '14 at 20:25
  • 1
    @Felix If you mean your first post, sort of... If you mean your second post then yes. – Tristan Forward Nov 11 '14 at 22:19
  • thanks. Doesn't matter where the green thing is. – FelixIP Nov 12 '14 at 0:32

You are rotating around origin point(0,0). The correct way to find a couple of points to specify rotation is this http://www.mathematics-online.org/inhalt/aussage/aussage444/

  • Are you able to translate the maths at that link into Python code for the question's asker? If so, that is something I would be keen to upvote, and I bet you would get accepted. – PolyGeo Nov 11 '14 at 0:43
  • 1
    I would upvote most def. I am trying to do it put getting this angle = 60 x_new = math.cos(angle)*x - math.sin(angle)*y print x_new>>>124.210532308 Which is not correct – Tristan Forward Nov 11 '14 at 0:47
  • I think the answer is in here: arcgis.com/home/item.html?id=9398bd2232cb4c8490b0b05015364d28 and geonet.esri.com/thread/48226 but will need to look at more tomorrow to figure it all out. – Tristan Forward Nov 11 '14 at 1:23
  • @TForward I think both those links seek to meet requirements considerably more complex than the one described in your question. – PolyGeo Nov 11 '14 at 1:39
  • @PolyGeo I apologize, I realize that and it did in fact have the answer to what I was looking for rotating a point which I posted. The rest I used as well but is part of a much bigger problem as you mentioned. – Tristan Forward Nov 11 '14 at 17:05

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