poleRot.py

import numpy as np
def get_pole(continent,age):
    """
    Returns the finite pole of rotation for a given continent and age
    Pole rotations from Torsvik (2008).
    """
    age=int(age)
    if continent=='af':return [0,0,0]
    if continent=='aus':
        cont= [[5,9.7,54.3,-3.3],[10,10.4,52.8,-6.2],[15,11.5,49.8,-9.0],[20,12.4,48.0,-11.8],[25,12.9,48.3,-15.0],[30,12.8,49.9,-18.1],[35,13.5,50.8,-20.9],[40,14.1,52.7,-22.1],[45,14.4,54.7,-22.9],[50,14.7,56.5,-23.6],[55,14.0,57.3,-24.7],[60,12.9,57.9,-25.7],[65,13.6,58.8,-26.3],[70,17.3,60.2,-26.3],[75,19.8,63.3,-26.7],[80,20.5,68.5,-26.6],[85,19.8,74.6,-26.9],[90,17.7,80.9,-28.9],[95,15.9,86.2,-31.1],[100,18.4,89.3,-30.7],[105,17.9,95.6,-32.6],[110,17.3,101.0,-34.8],[115,16.8,105.6,-37.4],[120,16.4,109.4,-40.3],[125,15.7,110.3,-42.3],[130,15.9,111.6,-44.4],[135,15.9,113.1,-46.6],[140,15.6,113.7,-48.3],[145,15.0,113.1,-50.5],[150,15.5,113.5,-52.5],[155,17.6,115.7,-54.3],[160,19.5,117.8,-56.2],[165,19.5,117.8,-56.2],[170,19.5,117.8,-56.2],[175,19.5,117.8,-56.2],[180,19.5,117.8,-56.2],[185,19.5,117.8,-56.2],[190,19.5,117.8,-56.2],[195,19.5,117.8,-56.2],[200,19.5,117.8,-56.2],[205,19.5,117.8,-56.2],[210,19.5,117.8,-56.2],[215,19.5,117.8,-56.2],[220,19.5,117.8,-56.2],[225,19.5,117.8,-56.2],[230,19.5,117.8,-56.2],[235,19.5,117.8,-56.2],[240,19.5,117.8,-56.2],[245,19.5,117.8,-56.2],[250,19.5,117.8,-56.2],[255,19.5,117.8,-56.2],[260,19.5,117.8,-56.2],[265,19.5,117.8,-56.2],[270,19.5,117.8,-56.2],[275,19.5,117.8,-56.2],[280,19.5,117.8,-56.2],[285,19.5,117.8,-56.2],[290,19.5,117.8,-56.2],[295,19.5,117.8,-56.2],[300,19.5,117.8,-56.2],[305,19.5,117.8,-56.2],[310,19.5,117.8,-56.2],[315,19.5,117.8,-56.2],[320,19.5,117.8,-56.2]]
        for rec in cont:
             if age==int(rec[0]): return [rec[1],rec[2],rec[3]] 
    if continent=='eur':
        cont= [[5,17.9,-27.1,0.6],[10,18.4,-26.3,1.2],[15,18.9,-24.6,1.8],[20,17.2,-22.7,2.4],[25,20.7,-19.0,3.0],[30,24.9,-19.5,4.3],[35,27.2,-19.3,5.8],[40,28.7,-18.5,7.5],[45,30.3,-18.2,9.0],[50,30.8,-16.7,10.0],[55,32.7,-15.4,11.3],[60,34.8,-15.7,12.6],[65,36.0,-15.8,13.6],[70,35.4,-16.1,14.9],[75,35.5,-15.7,15.5],[80,36.1,-15.2,16.9],[85,37.0,-14.2,18.8],[90,39.6,-13.7,21.9],[95,39.8,-13.7,25.2],[100,40.2,-12.5,28.5],[105,41.6,-11.2,31.7],[110,42.6,-9.8,34.5],[115,43.4,-8.5,37.3],[120,44.5,-6.9,40.3],[125,45.3,-6.3,42.0],[130,45.9,-5.7,43.0],[135,46.6,-5.3,44.0],[140,47.3,-4.9,45.2],[145,47.8,-4.8,46.4],[150,48.6,-4.0,47.9],[155,49.8,-2.2,50.0],[160,50.6,-1.2,52.1],[165,51.4,-0.3,54.2],[170,52.1,0.6,56.3],[175,52.9,1.9,59.6],[180,53.0,2.0,60.0],[185,53.0,2.0,60.4],[190,53.1,2.1,60.8],[195,53.2,2.2,61.1],[200,53.3,2.2,61.5],[205,53.2,2.6,59.7],[210,53.1,2.9,57.8],[215,53.1,3.3,55.9],[220,52.9,3.6,53.6],[225,52.7,4.0,51.4],[230,52.4,4.4,49.1],[235,52.2,4.8,46.8],[240,51.9,5.3,44.5],[245,51.9,5.3,44.5],[250,51.9,5.3,44.5],[255,51.9,5.3,44.5],[260,51.9,5.3,44.5],[265,51.9,5.3,44.5],[270,51.9,5.3,44.5],[275,51.9,5.3,44.5],[280,51.9,5.3,44.5],[285,51.9,5.3,44.5],[290,51.9,5.3,44.5],[295,51.9,5.3,44.5],[300,51.9,5.3,44.5],[305,51.9,5.3,44.5],[310,51.9,5.3,44.5],[315,51.9,5.3,44.5],[320,51.9,5.3,44.5]]
        for rec in cont:
             if age==int(rec[0]): return [rec[1],rec[2],rec[3]] 
    if continent=='mad':
        cont= [[5,90.0,0.0,0.0],[10,90.0,0.0,0.0],[15,90.0,0.0,0.0],[20,90.0,0.0,0.0],[25,90.0,0.0,0.0],[30,90.0,0.0,0.0],[35,90.0,0.0,0.0],[40,90.0,0.0,0.0],[45,90.0,0.0,0.0],[50,90.0,0.0,0.0],[55,90.0,0.0,0.0],[60,90.0,0.0,0.0],[65,90.0,0.0,0.0],[70,90.0,0.0,0.0],[75,90.0,0.0,0.0],[80,90.0,0.0,0.0],[85,90.0,0.0,0.0],[90,90.0,0.0,0.0],[95,90.0,0.0,0.0],[100,90.0,0.0,0.0],[105,90.0,0.0,0.0],[110,90.0,0.0,0.0],[115,90.0,0.0,0.0],[120,90.0,0.0,0.0],[125,2.6,-63.3,1.8],[130,2.6,-63.3,3.9],[135,1.5,-57.6,5.7],[140,1.0,-55.9,7.2],[145,0.6,118.3,-8.9],[150,4.5,119.8,-10.9],[155,10.6,130.1,-13.0],[160,14.8,137.5,-15.4],[165,14.8,137.5,-15.4],[170,14.8,137.5,-15.4],[175,14.8,137.5,-15.4],[180,14.8,137.5,-15.4],[185,14.8,137.5,-15.4],[190,14.8,137.5,-15.4],[195,14.8,137.5,-15.4],[200,14.8,137.5,-15.4],[205,14.8,137.5,-15.4],[210,14.8,137.5,-15.4],[215,14.8,137.5,-15.4],[220,14.8,137.5,-15.4],[225,14.8,137.5,-15.4],[230,14.8,137.5,-15.4],[235,14.8,137.5,-15.4],[240,14.8,137.5,-15.4],[245,14.8,137.5,-15.4],[250,14.8,137.5,-15.4],[255,14.8,137.5,-15.4],[260,14.8,137.5,-15.4],[265,14.8,137.5,-15.4],[270,14.8,137.5,-15.4],[275,14.8,137.5,-15.4],[280,14.8,137.5,-15.4],[285,14.8,137.5,-15.4],[290,14.8,137.5,-15.4],[295,14.8,137.5,-15.4],[300,14.8,137.5,-15.4],[305,14.8,137.5,-15.4],[310,14.8,137.5,-15.4],[315,14.8,137.5,-15.4],[320,14.8,137.5,-15.4]]
        for rec in cont:
             if age==int(rec[0]): return [rec[1],rec[2],rec[3]] 
    if continent=='nwaf':
        cont= [[5,90.0,0.0,0.0],[10,90.0,0.0,0.0],[15,90.0,0.0,0.0],[20,90.0,0.0,0.0],[25,90.0,0.0,0.0],[30,90.0,0.0,0.0],[35,90.0,0.0,0.0],[40,90.0,0.0,0.0],[45,90.0,0.0,0.0],[50,90.0,0.0,0.0],[55,90.0,0.0,0.0],[60,90.0,0.0,0.0],[65,90.0,0.0,0.0],[70,90.0,0.0,0.0],[75,90.0,0.0,0.0],[80,90.0,0.0,0.0],[85,19.6,6.7,0.0],[90,16.6,6.7,-0.2],[95,16.5,6.7,-0.4],[100,16.5,6.7,-0.5],[105,16.5,6.7,-0.7],[110,16.5,6.7,-0.8],[115,16.5,6.7,-1.0],[120,16.5,6.7,-1.1],[125,16.5,6.7,-1.2],[130,16.5,6.7,-1.2],[135,16.5,6.7,-1.2],[140,16.5,6.7,-1.2],[145,16.5,6.7,-1.2],[150,16.5,6.7,-1.2],[155,16.5,6.7,-1.2],[160,16.5,6.7,-1.2],[165,16.5,6.7,-1.2],[170,16.5,6.7,-1.2],[175,16.5,6.7,-1.2],[180,16.5,6.7,-1.2],[185,16.5,6.7,-1.2],[190,16.5,6.7,-1.2],[195,16.5,6.7,-1.2],[200,16.5,6.7,-1.2],[205,16.5,6.7,-1.2],[210,16.5,6.7,-1.2],[215,16.5,6.7,-1.2],[220,16.5,6.7,-1.2],[225,16.5,6.7,-1.2],[230,16.5,6.7,-1.2],[235,16.5,6.7,-1.2],[240,16.5,6.7,-1.2],[245,16.5,6.7,-1.2],[250,16.5,6.7,-1.2],[255,16.5,6.7,-1.2],[260,16.5,6.7,-1.2],[265,16.5,6.7,-1.2],[270,16.5,6.7,-1.2],[275,16.5,6.7,-1.2],[280,16.5,6.7,-1.2],[285,16.5,6.7,-1.2],[290,16.5,6.7,-1.2],[295,16.5,6.7,-1.2],[300,16.5,6.7,-1.2],[305,16.5,6.7,-1.2],[310,16.5,6.7,-1.2],[315,16.5,6.7,-1.2],[320,16.5,6.7,-1.2]]
        for rec in cont:
             if age==int(rec[0]): return [rec[1],rec[2],rec[3]] 
    if continent=='col':
        cont= [[5,62.1,-40.2,1.6],[10,61.8,-40.3,3.3],[15,59.6,-38.1,5.4],[20,58.5,-37.1,7.5],[25,57.7,-36.4,9.6],[30,56.7,-34.5,11.9],[35,56.5,-33.4,14.3],[40,57.1,-32.6,16.6],[45,57.0,-31.4,18.6],[50,58.2,-31.2,20.5],[55,60.7,-31.9,22.0],[60,62.5,-32.8,23.3],[65,63.7,-33.5,24.6],[70,63.5,-33.4,26.1],[75,63.2,-33.9,28.6],[80,62.7,-34.3,31.5],[85,61.2,-34.3,34.4],[90,59.1,-34.5,37.3],[95,57.2,-34.7,40.3],[100,55.7,-34.8,43.3],[105,54.3,-34.9,46.4],[110,53.1,-35.0,49.5],[115,52.2,-35.0,51.7],[120,51.6,-35.0,52.8],[125,50.7,-33.9,54.0],[130,48.5,-33.4,55.4],[135,47.5,-33.3,56.0],[140,47.5,-33.3,56.1],[145,47.5,-33.3,56.1],[150,47.5,-33.3,56.2],[155,47.5,-33.3,56.2],[160,47.5,-33.3,56.2],[165,47.5,-33.3,56.2],[170,47.5,-33.3,56.2],[175,47.5,-33.3,56.2],[180,47.5,-33.3,56.2],[185,47.5,-33.3,56.2],[190,47.5,-33.3,56.2],[195,47.5,-33.3,56.2],[200,47.5,-33.3,56.2],[205,47.5,-33.3,56.2],[210,47.5,-33.3,56.2],[215,47.5,-33.3,56.2],[220,47.5,-33.3,56.2],[225,47.5,-33.3,56.2],[230,47.5,-33.3,56.2],[235,47.5,-33.3,56.2],[240,47.5,-33.3,56.2],[245,47.5,-33.3,56.2],[250,47.5,-33.3,56.2],[255,47.5,-33.3,56.2],[260,47.5,-33.3,56.2],[265,47.5,-33.3,56.2],[270,47.5,-33.3,56.2],[275,47.5,-33.3,56.2],[280,47.5,-33.3,56.2],[285,47.5,-33.3,56.2],[290,47.5,-33.3,56.2],[295,47.5,-33.3,56.2],[300,47.5,-33.3,56.2],[305,47.5,-33.3,56.2],[310,47.5,-33.3,56.2],[315,47.5,-33.3,56.2],[320,47.5,-33.3,56.2]]
        for rec in cont:
             if age==int(rec[0]): return [rec[1],rec[2],rec[3]] 
    if continent=='grn':
        cont= [[5,80.9,22.8,1.3],[10,80.9,22.9,2.6],[15,80.9,23.2,4.1],[20,80.6,24.4,5.5],[25,79.5,28.1,6.8],[30,77.3,12.5,8.6],[35,74.8,7.2,10.2],[40,72.6,9.5,11.5],[45,71.4,11.4,12.7],[50,71.0,20.7,14.2],[55,71.8,29.6,16.8],[60,71.9,30.5,17.5],[65,71.3,32.9,17.6],[70,69.8,29.0,17.9],[75,69.0,26.6,18.5],[80,67.6,21.0,19.8],[85,66.3,16.4,21.5],[90,65.9,11.5,24.2],[95,64.2,5.5,26.9],[100,62.7,2.8,30.1],[105,62.4,1.6,33.3],[110,62.1,0.9,36.5],[115,61.8,0.5,39.7],[120,61.8,0.8,43.1],[125,61.9,1.0,44.9],[130,62.2,1.3,46.0],[135,62.4,1.6,47.1],[140,62.7,1.6,48.4],[145,62.9,1.3,49.7],[150,63.2,1.8,51.4],[155,63.7,3.6,53.8],[160,64.1,4.2,56.0],[165,64.4,4.8,58.3],[170,64.7,5.3,60.6],[175,64.8,6.0,64.1],[180,64.9,6.0,64.5],[185,64.9,5.9,64.9],[190,65.0,5.9,65.4],[195,65.0,5.8,65.8],[200,65.1,5.8,66.2],[205,65.1,5.7,66.7],[210,65.2,5.7,67.1],[215,65.2,5.6,67.5],[220,65.2,5.6,67.5],[225,65.2,5.6,67.5],[230,65.2,5.6,67.5],[235,65.2,5.6,67.5],[240,65.2,5.6,67.5],[245,65.2,5.6,67.5],[250,65.2,5.6,67.5],[255,65.2,5.6,67.5],[260,65.2,5.6,67.5],[265,65.2,5.6,67.5],[270,65.2,5.6,67.5],[275,65.2,5.6,67.5],[280,65.2,5.6,67.5],[285,65.2,5.6,67.5],[290,65.2,5.6,67.5],[295,65.2,5.6,67.5],[300,65.2,5.6,67.5],[305,65.2,5.6,67.5],[310,65.2,5.6,67.5],[315,65.2,5.6,67.5],[320,65.2,5.6,67.5]]
        for rec in cont:
             if age==int(rec[0]): return [rec[1],rec[2],rec[3]] 
    if continent=='nam':
        cont= [[5,80.9,22.8,1.3],[10,80.9,22.9,2.6],[15,80.9,23.2,4.1],[20,80.6,24.4,5.5],[25,79.5,28.1,6.8],[30,77.3,12.5,8.6],[35,75.4,3.5,10.5],[40,74.5,-1.1,12.6],[45,74.3,-4.3,14.6],[50,75.9,-3.5,16.2],[55,79.8,4.1,17.6],[60,81.6,5.1,19.1],[65,82.6,3.2,20.7],[70,81.6,-6.5,22.4],[75,80.4,-13.1,24.6],[80,78.2,-18.8,27.5],[85,76.2,-21.3,30.5],[90,74.6,-23.0,33.8],[95,72.0,-24.7,36.9],[100,70.0,-24.0,40.2],[105,69.1,-23.3,43.6],[110,68.3,-22.6,47.0],[115,67.6,-21.8,50.4],[120,67.1,-20.4,53.9],[125,67.0,-19.7,55.6],[130,67.0,-19.1,56.7],[135,67.1,-18.7,57.9],[140,67.2,-18.4,59.2],[145,67.1,-18.3,60.5],[150,67.3,-17.6,62.2],[155,67.6,-15.5,64.6],[160,67.6,-14.5,66.8],[165,67.7,-13.6,69.1],[170,67.8,-12.8,71.4],[175,67.7,-11.5,74.8],[180,67.7,-11.5,75.3],[185,67.7,-11.5,75.7],[190,67.7,-11.5,76.1],[195,67.7,-11.5,76.6],[200,67.7,-11.5,77.0],[205,67.7,-11.5,77.4],[210,67.7,-11.5,77.9],[215,67.7,-11.5,78.3],[220,67.7,-11.5,78.3],[225,67.7,-11.5,78.3],[230,67.7,-11.5,78.3],[235,67.7,-11.5,78.3],[240,67.7,-11.5,78.3],[245,67.7,-11.5,78.3],[250,67.7,-11.5,78.3],[255,67.7,-11.5,78.3],[260,67.7,-11.5,78.3],[265,67.7,-11.5,78.3],[270,67.7,-11.5,78.3],[275,67.7,-11.5,78.3],[280,67.7,-11.5,78.3],[285,67.7,-11.5,78.3],[290,67.7,-11.5,78.3],[295,67.7,-11.5,78.3],[300,67.7,-11.5,78.3],[305,67.7,-11.5,78.3],[310,67.7,-11.5,78.3],[315,67.7,-11.5,78.3],[320,67.7,-11.5,78.3]]
        for rec in cont:
             if int(age)==int(rec[0]): 
                  pole= [rec[1],rec[2],rec[3]] 
                  return pole
    if continent=='par':
        cont= [[5,62.1,-40.2,1.6],[10,61.8,-40.3,3.3],[15,59.6,-38.1,5.4],[20,58.5,-37.1,7.5],[25,57.7,-36.4,9.6],[30,56.7,-34.5,11.9],[35,56.5,-33.4,14.3],[40,57.1,-32.6,16.6],[45,57.0,-31.4,18.6],[50,58.2,-31.2,20.5],[55,60.7,-31.9,22.0],[60,62.5,-32.8,23.3],[65,63.7,-33.5,24.6],[70,63.5,-33.4,26.1],[75,63.2,-33.9,28.6],[80,62.7,-34.3,31.5],[85,61.2,-34.3,34.4],[90,59.1,-34.5,37.3],[95,57.2,-34.7,40.3],[100,55.7,-34.8,43.3],[105,54.3,-34.9,46.4],[110,53.1,-35.0,49.5],[115,52.2,-35.0,51.7],[120,51.6,-35.0,52.8],[125,50.7,-33.9,54.0],[130,48.5,-33.4,55.4],[135,47.5,-33.3,56.0],[140,47.5,-33.3,56.1],[145,47.5,-33.3,56.1],[150,47.5,-33.3,56.2],[155,47.5,-33.3,56.2],[160,47.5,-33.3,56.2],[165,47.5,-33.3,56.2],[170,47.5,-33.3,56.2],[175,47.5,-33.3,56.2],[180,47.5,-33.3,56.2],[185,47.5,-33.3,56.2],[190,47.5,-33.3,56.2],[195,47.5,-33.3,56.2],[200,47.5,-33.3,56.2],[205,47.5,-33.3,56.2],[210,47.5,-33.3,56.2],[215,47.5,-33.3,56.2],[220,47.5,-33.3,56.2],[225,47.5,-33.3,56.2],[230,47.5,-33.3,56.2],[235,47.5,-33.3,56.2],[240,47.5,-33.3,56.2],[245,47.5,-33.3,56.2],[250,47.5,-33.3,56.2],[255,47.5,-33.3,56.2],[260,47.5,-33.3,56.2],[265,47.5,-33.3,56.2],[270,47.5,-33.3,56.2],[275,47.5,-33.3,56.2],[280,47.5,-33.3,56.2],[285,47.5,-33.3,56.2],[290,47.5,-33.3,56.2],[295,47.5,-33.3,56.2],[300,47.5,-33.3,56.2],[305,47.5,-33.3,56.2],[310,47.5,-33.3,56.2],[315,47.5,-33.3,56.2],[320,47.5,-33.3,56.2]]
        for rec in cont:
             if age==int(rec[0]): return [rec[1],rec[2],rec[3]] 
    if continent=='eant':
        cont= [[5,8.2,-49.4,0.8],[10,8.2,-49.4,1.5],[15,9.8,-48.4,2.1],[20,10.7,-47.9,2.8],[25,11.4,-48.2,3.8],[30,11.8,-48.3,4.8],[35,12.5,-46.1,6.0],[40,13.6,-41.5,7.4],[45,11.1,-41.1,8.5],[50,9.1,-40.9,9.6],[55,9.4,-43.5,10.3],[60,10.6,-47.4,10.8],[65,8.1,-47.7,11.3],[70,0.4,-43.3,12.2],[75,3.7,138.9,-13.8],[80,2.7,142.7,-16.1],[85,0.6,144.7,-18.8],[90,1.4,-37.0,22.3],[95,2.9,-38.3,25.8],[100,3.1,146.5,-26.8],[105,5.5,148.9,-30.3],[110,7.4,150.7,-33.9],[115,9.0,152.3,-37.6],[120,10.3,153.6,-41.3],[125,9.4,152.4,-43.0],[130,9.1,151.5,-45.3],[135,8.6,150.9,-47.6],[140,8.0,150.1,-49.2],[145,7.3,148.1,-50.7],[150,7.4,147.1,-52.6],[155,9.0,148.0,-55.4],[160,10.5,148.8,-58.2],[165,10.5,148.8,-58.2],[170,10.5,148.8,-58.2],[175,10.5,148.8,-58.2],[180,10.5,148.8,-58.2],[185,10.5,148.8,-58.2],[190,10.5,148.8,-58.2],[195,10.5,148.8,-58.2],[200,10.5,148.8,-58.2],[205,10.5,148.8,-58.2],[210,10.5,148.8,-58.2],[215,10.5,148.8,-58.2],[220,10.5,148.8,-58.2],[225,10.5,148.8,-58.2],[230,10.5,148.8,-58.2],[235,10.5,148.8,-58.2],[240,10.5,148.8,-58.2],[245,10.5,148.8,-58.2],[250,10.5,148.8,-58.2],[255,10.5,148.8,-58.2],[260,10.5,148.8,-58.2],[265,10.5,148.8,-58.2],[270,10.5,148.8,-58.2],[275,10.5,148.8,-58.2],[280,10.4,148.8,-58.2],[285,10.5,148.8,-58.2],[290,10.5,148.8,-58.2],[295,10.5,148.8,-58.2],[300,10.5,148.8,-58.2],[305,10.4,148.8,-58.2],[310,10.5,148.8,-58.2],[315,10.5,148.8,-58.2],[320,10.5,148.8,-58.2]]
        for rec in cont:
             if age==int(rec[0]): return [rec[1],rec[2],rec[3]] 
    if continent=='ind':
        cont= [[5,22.7,32.9,-2.3],[10,23.8,33.1,-4.6],[15,27.1,27.4,-6.0],[20,29.6,23.9,-7.5],[25,25.1,33.2,-10.3],[30,22.5,38.5,-13.3],[35,22.6,41.3,-15.9],[40,25.5,42.7,-17.4],[45,24.2,40.1,-19.7],[50,24.0,34.2,-23.5],[55,22.1,29.2,-28.3],[60,19.5,25.2,-34.4],[65,19.0,21.9,-40.2],[70,20.5,18.9,-44.4],[75,21.8,18.2,-47.3],[80,22.3,18.2,-49.1],[85,21.8,22.1,-53.8],[90,20.0,27.5,-58.8],[95,20.7,28.1,-57.8],[100,21.3,28.8,-56.8],[105,21.9,29.6,-55.9],[110,22.6,30.3,-54.9],[115,23.3,31.1,-54.0],[120,24.0,32.0,-53.1],[125,23.4,34.8,-55.2],[130,21.2,36.2,-60.1],[135,21.2,36.2,-61.6],[140,21.9,37.5,-61.5],[145,22.6,39.0,-62.5],[150,24.1,40.4,-62.9],[155,26.9,41.2,-61.6],[160,29.8,42.1,-60.5],[165,29.8,42.1,-60.5],[170,29.8,42.1,-60.5],[175,29.8,42.1,-60.5],[180,29.8,42.1,-60.5],[185,29.8,42.1,-60.5],[190,29.8,42.1,-60.5],[195,29.8,42.1,-60.5],[200,29.8,42.1,-60.5],[205,29.8,42.1,-60.5],[210,29.8,42.1,-60.5],[215,29.8,42.1,-60.5],[220,29.8,42.1,-60.5],[225,29.8,42.1,-60.5],[230,29.8,42.1,-60.5],[235,29.8,42.1,-60.5],[240,29.8,42.1,-60.5],[245,29.8,42.1,-60.5],[250,29.8,42.1,-60.5],[255,29.8,42.1,-60.5],[260,29.8,42.1,-60.5],[265,29.8,42.1,-60.5],[270,29.8,42.1,-60.5],[275,29.8,42.1,-60.5],[280,29.8,42.1,-60.5],[285,29.8,42.1,-60.5],[290,29.8,42.1,-60.5],[295,29.8,42.1,-60.5],[300,29.8,42.1,-60.5],[305,29.8,42.1,-60.5],[310,29.8,42.1,-60.5],[315,29.8,42.1,-60.5],[320,29.8,42.1,-60.5]]
        for rec in cont:
             if age==int(rec[0]): return [rec[1],rec[2],rec[3]] 
    if continent=='neaf':
        cont= [[5,90.0,0.0,0.0],[10,90.0,0.0,0.0],[15,90.0,0.0,0.0],[20,90.0,0.0,0.0],[25,90.0,0.0,0.0],[30,90.0,0.0,0.0],[35,90.0,0.0,0.0],[40,90.0,0.0,0.0],[45,90.0,0.0,0.0],[50,90.0,0.0,0.0],[55,90.0,0.0,0.0],[60,90.0,0.0,0.0],[65,90.0,0.0,0.0],[70,90.0,0.0,0.0],[75,90.0,0.0,0.0],[80,90.0,0.0,0.0],[85,27.9,-61.4,0.0],[90,39.8,-61.4,-0.1],[95,40.8,-61.4,-0.2],[100,40.3,-61.4,-0.3],[105,40.6,-61.4,-0.4],[110,40.6,-61.4,-0.5],[115,40.5,-61.4,-0.6],[120,40.5,-61.4,-0.7],[125,40.5,-61.4,-0.7],[130,40.5,-61.4,-0.7],[135,40.5,-61.4,-0.7],[140,40.5,-61.4,-0.7],[145,40.5,-61.4,-0.7],[150,40.5,-61.4,-0.7],[155,40.5,-61.4,-0.7],[160,40.5,-61.4,-0.7],[165,40.5,-61.4,-0.7],[170,40.5,-61.4,-0.7],[175,40.5,-61.4,-0.7],[180,40.5,-61.4,-0.7],[185,40.5,-61.4,-0.7],[190,40.5,-61.4,-0.7],[195,40.5,-61.4,-0.7],[200,40.5,-61.4,-0.7],[205,40.5,-61.4,-0.7],[210,40.5,-61.4,-0.7],[215,40.5,-61.4,-0.7],[220,40.5,-61.4,-0.7],[225,40.5,-61.4,-0.7],[230,40.5,-61.4,-0.7],[235,40.5,-61.4,-0.7],[240,40.5,-61.4,-0.7],[245,40.4,-61.4,-0.7],[250,40.4,-61.4,-0.7],[255,40.4,-61.4,-0.7],[260,40.4,-61.4,-0.7],[265,40.4,-61.4,-0.7],[270,40.4,-61.4,-0.7],[275,40.4,-61.4,-0.7],[280,40.4,-61.4,-0.7],[285,40.4,-61.4,-0.7],[290,40.4,-61.4,-0.7],[295,40.4,-61.4,-0.7],[300,40.4,-61.4,-0.7],[305,40.4,-61.4,-0.7],[310,40.4,-61.4,-0.7],[315,40.4,-61.4,-0.7],[320,40.4,-61.4,-0.7]]
        for rec in cont:
             if age==int(rec[0]): return [rec[1],rec[2],rec[3]] 
    if continent=='sac':
        cont= [[5,62.1,-40.2,1.6],[10,61.8,-40.3,3.3],[15,59.6,-38.1,5.4],[20,58.5,-37.1,7.5],[25,57.7,-36.4,9.6],[30,56.7,-34.5,11.9],[35,56.5,-33.4,14.3],[40,57.1,-32.6,16.6],[45,57.0,-31.4,18.6],[50,58.2,-31.2,20.5],[55,60.7,-31.9,22.0],[60,62.5,-32.8,23.3],[65,63.7,-33.5,24.6],[70,63.5,-33.4,26.1],[75,63.2,-33.9,28.6],[80,62.7,-34.3,31.5],[85,61.2,-34.3,34.4],[90,59.1,-34.5,37.3],[95,57.2,-34.7,40.3],[100,55.7,-34.8,43.3],[105,54.3,-34.9,46.4],[110,53.1,-35.0,49.5],[115,52.2,-35.0,51.7],[120,51.6,-35.0,52.8],[125,50.7,-33.9,54.0],[130,50.1,-32.8,54.9],[135,50.0,-32.5,55.1],[140,50.0,-32.5,55.1],[145,50.0,-32.5,55.1],[150,50.0,-32.5,55.1],[155,50.0,-32.5,55.1],[160,50.0,-32.5,55.1],[165,50.0,-32.5,55.1],[170,50.0,-32.5,55.1],[175,50.0,-32.5,55.1],[180,50.0,-32.5,55.1],[185,50.0,-32.5,55.1],[190,50.0,-32.5,55.1],[195,50.0,-32.5,55.1],[200,50.0,-32.5,55.1],[205,50.0,-32.5,55.1],[210,50.0,-32.5,55.1],[215,50.0,-32.5,55.1],[220,50.0,-32.5,55.1],[225,50.0,-32.5,55.1],[230,50.0,-32.5,55.1],[235,50.0,-32.5,55.1],[240,50.0,-32.5,55.1],[245,50.0,-32.5,55.1],[250,50.0,-32.5,55.1],[255,50.0,-32.5,55.1],[260,50.0,-32.5,55.1],[265,50.0,-32.5,55.1],[270,50.0,-32.5,55.1],[275,50.0,-32.5,55.1],[280,50.0,-32.5,55.1],[285,50.0,-32.5,55.1],[290,50.0,-32.5,55.1],[295,50.0,-32.5,55.1],[300,50.0,-32.5,55.1],[305,50.0,-32.5,55.1],[310,50.0,-32.5,55.1],[315,50.0,-32.5,55.1],[320,50.0,-32.5,55.1]]
        for rec in cont:
             if age==int(rec[0]): return [rec[1],rec[2],rec[3]] 
    if continent=='ib':
        cont= [[5,0,0,0],[10,0,0,0],[15,77.93,59.14,.12],[20,77.93,59.14,.24],[25,77.93,59.14,.24],[30,-31.21,166.79,1.73],[35,-31.21,166.79,1.73],[40,-27,160,1.73],[45,-23.85,157.12,1.72],[50,-20.6,157.88,2.1],[55,-20.72,162.4,2.61],[60,-16,164,3],[65,-12.95,165.77,3.1],[70,-16.45,167.49,3.1],[75,-16.45,167.49,3.1],[80,-37.17,169,8.04],[85,-38.86,169.85,10.28],[90,-42.64,173.2,16.56],[95,-43.,174.,20],[100,-43.,174.,25],[105,-43.,174.,30],[110,-43.,174.,35],[115,-43.,174.,35],[120,-43.,174.,44.77],[120,-43.86,174.17,44.77],[125,-43.86,174.17,44.77],[130,-46.19,177.47,45.91],[135,-46.19,177.47,45.91],[140,-46.19,177.47,45.91],[145,-46.19,177.47,45.91],[150,-46.19,177.47,45.91],[155,-47.12,179.45,46.29],[160,-47.12,179.45,46.29],[165,-47.12,179.45,46.29],[170,-47.55,180.35,50.62],[175,-46.8,181.1,50.33],[180,-46.8,181.1,50.33],[185,-46.8,181.1,50.33],[190,-46.8,181.1,50.33],[195,-46.8,181.1,50.33],[200,-46.8,181.1,50.33],[205,-46.8,181.1,50.33],[210,-46.8,181.1,50.33],[215,-46.8,181.1,50.33],[220,-46.8,181.1,50.33],[225,-46.8,181.1,50.33],[230,-46.8,181.1,50.33],[235,-46.8,181.1,50.33],[240,-46.8,181.1,50.33],[245,-46.8,181.1,50.33],[250,-46.8,181.1,50.33],[255,-46.8,181.1,50.33],[260,-46.8,181.1,50.33],[265,-46.8,181.1,50.33],[270,-46.8,181.1,50.33],[275,-46.8,181.1,50.33],[280,-46.8,181.1,50.33],[285,-46.8,181.1,50.33],[290,-46.8,181.1,50.33],[295,-46.8,181.1,50.33],[300,-46.8,181.1,50.33],[305,-46.8,181.1,50.33],[310,-46.8,181.1,50.33],[315,-46.8,181.1,50.33],[320,-46.8,181.1,50.33]]
        for rec in cont:
             if age==int(rec[0]): return [rec[1],rec[2],rec[3]] 
    if continent=='saf':
        cont= [[0,0,56.0,2.2],[5,0,57.6,2.5],[10,0,53.9,2.5],[15,0,66.5,3.0],[20,0,75.5,4.7],[25,0,84.1,6.8],[30,0,95.8,7.9],[35,0,98.8,8.7],[40,0,107.5,9.2],[45,0,110.9,10.3],[50,0,111.6,13.2],[55,0,115.7,13.9],[60,0,123.5,15.7],[65,0,127.8,17.5],[70,0,137.2,17.5],[75,0,140.3,19.2],[80,0,138.1,19.3],[85,0,142.9,19.6],[90,0,144.7,20.5],[95,0,144.3,20.8],[100,0,150.8,22.3],[105,0,160.2,26.9],[110,0,169.2,32.1],[115,0,170.3,35.6],[120,0,171.3,36.2],[125,0,172.1,37.5],[130,0,170.0,39.4],[135,0,172.6,42.1],[140,0,163.1,40.8],[145,0,155.2,38.1],[150,0,155.0,34.8],[155,0,155.0,33.2],[160,0,157.0,30.7],[165,0,159.5,32.5],[170,0,167.6,28.8],[175,0,167.8,27.7],[180,0,167.4,25.9],[185,0,168.4,21.6],[190,0,158.8,18.2],[195,0,147.9,17.8],[200,0,144.4,19.2],[205,0,137.4,20.7],[210,0,133.6,23.1],[215,0,129.9,26.4],[220,0,127.2,27.2],[225,0,128.0,29.4],[230,0,130.0,31.4],[235,0,133.6,35.3],[240,0,137.4,36.5],[245,0,143.1,39.6],[250,0,145.4,40.4],[255,0,145.6,41.8],[260,0,144.8,41.9],[265,0,141.6,47.1],[270,0,140.3,46.8],[275,0,138.2,51.1],[280,0,138.6,51.6],[285,0,136.5,51.8],[290,0,135.8,52.8],[295,0,136.8,53.5],[300,0,136.9,55.4],[305,0,138.9,56.3],[310,0,139.9,59.5],[315,0,138.9,60.8],[320,0,132.5,61.6]]
        for rec in cont:
             if age==int(rec[0]): return [rec[1],rec[2],rec[3]] 
    return 'NONE'

def PTrot(EP,Lats,Lons):
    """ Does rotation of points on a globe  by finite rotations, using method of Cox and Hart 1986, box 7-3. """
# gets user input of Rotation pole lat,long, omega for plate and converts to radians
    E=dir2cart([EP[1],EP[0],1.]) # EP is pole lat,lon omega
    omega=EP[2]*np.pi/180. # convert to radians
    RLats,RLons=[],[]
    for k in range(len(Lats)):
      if Lats[k]<=90.: # peel off delimiters
# converts to rotation pole to cartesian coordinates
        A=dir2cart([Lons[k],Lats[k],1.])
# defines cartesian coordinates of the pole A
        R=[[0.,0.,0.],[0.,0.,0.],[0.,0.,0.]]
        R[0][0]=E[0]*E[0]*(1-np.cos(omega)) + np.cos(omega)
        R[0][1]=E[0]*E[1]*(1-np.cos(omega)) - E[2]*np.sin(omega)
        R[0][2]=E[0]*E[2]*(1-np.cos(omega)) + E[1]*np.sin(omega)
        R[1][0]=E[1]*E[0]*(1-np.cos(omega)) + E[2]*np.sin(omega)
        R[1][1]=E[1]*E[1]*(1-np.cos(omega)) + np.cos(omega)
        R[1][2]=E[1]*E[2]*(1-np.cos(omega)) - E[0]*np.sin(omega)
        R[2][0]=E[2]*E[0]*(1-np.cos(omega)) - E[1]*np.sin(omega)
        R[2][1]=E[2]*E[1]*(1-np.cos(omega)) + E[0]*np.sin(omega)
        R[2][2]=E[2]*E[2]*(1-np.cos(omega)) + np.cos(omega)
# sets up rotation matrix
        Ap=[0,0,0]
        for i in range(3):
            for j in range(3):
                Ap[i]+=R[i][j]*A[j]
# does the rotation
        Prot=cart2dir(Ap)
        RLats.append(Prot[1])
        RLons.append(Prot[0])
      else:  # preserve delimiters
        RLats.append(Lats[k])
        RLons.append(Lons[k])
    return RLats,RLons

def dir2cart(d):
    """
    Converts a list or array of vector directions in degrees (declination,
    inclination) to an array of the direction in cartesian coordinates (x,y,z)

    Parameters
    ----------
    d : list or array of [dec,inc] or [dec,inc,intensity]

    Returns
    -------
    cart : array of [x,y,z]
    """
    ints=np.ones(len(d)).transpose() # get an array of ones to plug into dec,inc pairs
    d=np.array(d)
    rad=np.pi/180.
    if len(d.shape)>1: # array of vectors
        decs,incs=d[:,0]*rad,d[:,1]*rad
        if d.shape[1]==3: ints=d[:,2] # take the given lengths
    else: # single vector
        decs,incs=np.array(float(d[0]))*rad,np.array(float(d[1]))*rad
        if len(d)==3:
            ints=np.array(d[2])
        else:
            ints=np.array([1.])
    cart= np.array([ints*np.cos(decs)*np.cos(incs),ints*np.sin(decs)*np.cos(incs),ints*np.sin(incs)]).transpose()
    return cart


def cart2dir(cart):
    """
    Converts a direction in cartesian coordinates into declination, inclinations

    Parameters
    ----------
    cart : input list of [x,y,z]

    Returns
    -------
    direction_array : returns an array of [declination, inclination, intensity]
    """
    cart=np.array(cart)
    rad=np.pi/180. # constant to convert degrees to radians
    if len(cart.shape)>1:
        Xs,Ys,Zs=cart[:,0],cart[:,1],cart[:,2]
    else: #single vector
        Xs,Ys,Zs=cart[0],cart[1],cart[2]
    if np.iscomplexobj(Xs): Xs = Xs.real
    if np.iscomplexobj(Ys): Ys = Ys.real
    if np.iscomplexobj(Zs): Zs = Zs.real
    Rs=np.sqrt(Xs**2+Ys**2+Zs**2) # calculate resultant vector length
    Decs=(np.arctan2(Ys,Xs)/rad)%360. # calculate declination taking care of correct quadrants (arctan2) and making modulo 360.
    try:
        Incs=np.arcsin(Zs/Rs)/rad # calculate inclination (converting to degrees) #
    except:
        print ('trouble in cart2dir') # most likely division by zero somewhere
        return np.zeros(3)

    return np.array([Decs,Incs,Rs]).transpose() # return the directions list

def get_continent(continent):
    """ 
    Returns the continental outlines (latitudes and longitudes) for 
    these continents:
    af=Africa 
    aus=Australia
    balt=Baltica
    congo=Congo
    eur=Europe
    ind=India
    sam=South America
    ant=Antarctica
    grn=Greenland
    lau=Laurentia
    nam=North America
    waf=West Africa
    gond=Gondwana
    kala=Kalahari
    """ 
    if continent=='af':
        return 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    if continent=='aus':
        return 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    if continent=='balt':
        return 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    if continent=='congo':
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    if continent=='eur':
        return 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    if continent=='sam':
        return 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    if continent=='ant':
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    if continent=='grn':
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    if continent=='plates':
        return 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    if continent=='gond':
        return 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    if continent=='kala':
        return [[-23.200000,16.000000],[-22.800000,17.000000],[-22.400000,18.000000],[-22.000000,19.000000],[-21.600000,20.000000],[-21.200000,21.000000],[-20.800000,22.000000],[-20.400000,23.000000],[-20.000000,24.000000],[-19.600000,25.000000],[-19.200000,26.000000],[-18.800000,27.000000],[-18.400000,28.000000],[-18.400000,29.000000],[-18.000000,29.300000],[-17.500000,29.600000],[-17.400000,29.700000],[-16.400000,32.000000],[-16.500000,32.400000],[-16.400000,32.800000],[-16.400000,33.200000],[-16.400000,33.500000],[-16.600000,33.700000],[-16.800000,33.900000],[-17.000000,34.100000],[-17.200000,34.300000],[-18.000000,34.400000],[-18.600000,34.500000],[-19.100000,34.600000],[-19.600000,34.300000],[-20.000000,34.100000],[-21.000000,33.600000],[-22.000000,33.000000],[-22.900000,32.500000],[-23.600000,32.700000],[-24.300000,32.800000],[-26.000000,32.500000],[-26.300000,32.500000],[-26.600000,32.400000],[-27.500000,32.600000],[-28.000000,32.800000],[-28.700000,32.000000],[-29.400000,31.500000],[-30.000000,30.500000],[-31.400000,29.500000],[-31.600000,28.500000],[-32.700000,27.600000],[-32.500000,27.200000],[-32.500000,25.800000],[-32.400000,24.100000],[-33.000000,22.000000],[-33.600000,20.000000],[-31.000000,19.400000],[-30.000000,18.800000],[-28.000000,17.400000],[-27.700000,17.500000],[-25.700000,16.300000],[-25.300000,16.000000],[-25.000000,15.700000],[-24.800000,15.700000],[-24.400000,15.800000],[-23.400000,15.900000],[-23.200000,16.000000]]