[Matplotlib-users] basemap and fill_between()
Hi, I'm having a problem usinf fill_between() with basemap. I plot two great circles and want to shade the region between them. My code is below, it doesnt give any error just creates the plot without filling the area. Does anyone know if it's possible to do this or should I try a different method? Thanks, David from mpl_toolkits.basemap import Basemap from pylab import * ### PARAMETERS FOR MATPLOTLIB : import matplotlib as mpl rcParams['font.size'] = 10. rcParams['font.family'] = 'Comic Sans MS' rcParams['axes.labelsize'] = 8. rcParams['xtick.labelsize'] = 6. rcParams['ytick.labelsize'] = 6. def shoot(lon, lat, azimuth, maxdist=None): Shooter Function Original javascript on http://williams.best.vwh.net/gccalc.htm Translated to python by Thomas Lecocq glat1 = lat * pi / 180. glon1 = lon * pi / 180. s = maxdist / 1.852 faz = azimuth * pi / 180. EPS= 0.005 if ((abs(cos(glat1))EPS) and not (abs(sin(faz))EPS)): alert(Only N-S courses are meaningful, starting at a pole!) a=6378.13/1.852 f=1/298.257223563 r = 1 - f tu = r * tan(glat1) sf = sin(faz) cf = cos(faz) if (cf==0): b=0. else: b=2. * arctan2 (tu, cf) cu = 1. / sqrt(1 + tu * tu) su = tu * cu sa = cu * sf c2a = 1 - sa * sa x = 1. + sqrt(1. + c2a * (1. / (r * r) - 1.)) x = (x - 2.) / x c = 1. - x c = (x * x / 4. + 1.) / c d = (0.375 * x * x - 1.) * x tu = s / (r * a * c) y = tu c = y + 1 while (abs (y - c) EPS): sy = sin(y) cy = cos(y) cz = cos(b + y) e = 2. * cz * cz - 1. c = y x = e * cy y = e + e - 1. y = (((sy * sy * 4. - 3.) * y * cz * d / 6. + x) * d / 4. - cz) * sy * d + tu b = cu * cy * cf - su * sy c = r * sqrt(sa * sa + b * b) d = su * cy + cu * sy * cf glat2 = (arctan2(d, c) + pi) % (2*pi) - pi c = cu * cy - su * sy * cf x = arctan2(sy * sf, c) c = ((-3. * c2a + 4.) * f + 4.) * c2a * f / 16. d = ((e * cy * c + cz) * sy * c + y) * sa glon2 = ((glon1 + x - (1. - c) * d * f + pi) % (2*pi)) - pi baz = (arctan2(sa, b) + pi) % (2 * pi) glon2 *= 180./pi glat2 *= 180./pi baz *= 180./pi return (glon2, glat2, baz) #Create a basemap around N. Atlantic m = Basemap(llcrnrlon=-45.0,llcrnrlat=30.0,urcrnrlon=15.0,urcrnrlat=75.0, resolution='i',projection='merc',lon_0=-17.5,lat_0=60.0) m.drawcountries(linewidth=0.5) m.drawcoastlines(linewidth=0.5) m.bluemarble() m.drawparallels(arange(40.,75.,10.),labels=[1,0,0,0],color='black',dashes=[1,0],labelstyle='+/-',linewidth=0.2) # draw parallels m.drawmeridians(arange(-45.,15.,10.),labels=[0,0,0,1],color='black',dashes=[1,0],labelstyle='+/-',linewidth=0.2) # draw meridians # Shade region defined by great circles. x1, y1 = -9.1676613, 51.602 az1 = 270. az2 = 290. maxdist = 2000 x2, y2, baz = shoot(x1, y1, az1, maxdist) x3, y3, baz = shoot(x1, y1, az2, maxdist) m.drawgreatcircle(x1, y1, x2, y2, del_s=10, color='gray', lw=1.) m.drawgreatcircle(x1, y1, x3, y3, del_s=10, color='gray', lw=1.) a=linspace(x3,x1) b=linspace(y2,y1) c=linspace(y3,y1) fill_between(a, b, c, where=None, alpha=0.2) show() -- Live Security Virtual Conference Exclusive live event will cover all the ways today's security and threat landscape has changed and how IT managers can respond. Discussions will include endpoint security, mobile security and the latest in malware threats. http://www.accelacomm.com/jaw/sfrnl04242012/114/50122263/___ Matplotlib-users mailing list Matplotlib-users@lists.sourceforge.net https://lists.sourceforge.net/lists/listinfo/matplotlib-users
Re: [Matplotlib-users] basemap and fill_between()
Le 13/05/2012 11:34, David Craig a écrit : Hi, I'm having a problem usinf fill_between() with basemap. I plot two great circles and want to shade the region between them. My code is below, it doesnt give any error just creates the plot without filling the area. Does anyone know if it's possible to do this or should I try a different method? Hello, Boss. Perhaps I am telling rubbish, but fill_between demands the coordinates within your axes, not the basemap angles. Your a,b,c contain some small numers (negative x, say -38) won't do any good, x should be, say 3001129 etc. Use m(...) to convert. Jerzy K -- Live Security Virtual Conference Exclusive live event will cover all the ways today's security and threat landscape has changed and how IT managers can respond. Discussions will include endpoint security, mobile security and the latest in malware threats. http://www.accelacomm.com/jaw/sfrnl04242012/114/50122263/ ___ Matplotlib-users mailing list Matplotlib-users@lists.sourceforge.net https://lists.sourceforge.net/lists/listinfo/matplotlib-users
Re: [Matplotlib-users] basemap and fill_between()
Appendix. (and excuses for my approximate syntax in the first message; I was doing three things simultaneously). Maestro David Craig, your filling will be lousy anyway. If your x and y arrays come from linespace, you will surely get a triangle, and not the curvilinear area between GreatCircles. You must transform the coordinates in a more clever (but equally easy...) way. Jerzy K. -- Live Security Virtual Conference Exclusive live event will cover all the ways today's security and threat landscape has changed and how IT managers can respond. Discussions will include endpoint security, mobile security and the latest in malware threats. http://www.accelacomm.com/jaw/sfrnl04242012/114/50122263/ ___ Matplotlib-users mailing list Matplotlib-users@lists.sourceforge.net https://lists.sourceforge.net/lists/listinfo/matplotlib-users
Re: [Matplotlib-users] basemap and fill_between()
On 5/13/12 3:34 AM, David Craig wrote: Hi, I'm having a problem usinf fill_between() with basemap. I plot two great circles and want to shade the region between them. My code is below, it doesnt give any error just creates the plot without filling the area. Does anyone know if it's possible to do this or should I try a different method? Thanks, David David Try replacing m.drawgreatcircle(x1, y1, x2, y2, del_s=10, color='gray', lw=1.) m.drawgreatcircle(x1, y1, x3, y3, del_s=10, color='gray', lw=1.) a=linspace(x3,x1) b=linspace(y2,y1) c=linspace(y3,y1) fill_between(a, b, c, where=None, alpha=0.2) with xx1,yy1 = m.gcpoints(x1,y1,x2,y2,100) xx2,yy2 = m.gcpoints(x1,y1,x3,y3,100) fill_between(xx1, yy1, yy2) -Jeff from mpl_toolkits.basemap import Basemap from pylab import * ### PARAMETERS FOR MATPLOTLIB : import matplotlib as mpl rcParams['font.size'] = 10. rcParams['font.family'] = 'Comic Sans MS' rcParams['axes.labelsize'] = 8. rcParams['xtick.labelsize'] = 6. rcParams['ytick.labelsize'] = 6. def shoot(lon, lat, azimuth, maxdist=None): Shooter Function Original javascript on http://williams.best.vwh.net/gccalc.htm Translated to python by Thomas Lecocq glat1 = lat * pi / 180. glon1 = lon * pi / 180. s = maxdist / 1.852 faz = azimuth * pi / 180. EPS= 0.005 if ((abs(cos(glat1))EPS) and not (abs(sin(faz))EPS)): alert(Only N-S courses are meaningful, starting at a pole!) a=6378.13/1.852 f=1/298.257223563 r = 1 - f tu = r * tan(glat1) sf = sin(faz) cf = cos(faz) if (cf==0): b=0. else: b=2. * arctan2 (tu, cf) cu = 1. / sqrt(1 + tu * tu) su = tu * cu sa = cu * sf c2a = 1 - sa * sa x = 1. + sqrt(1. + c2a * (1. / (r * r) - 1.)) x = (x - 2.) / x c = 1. - x c = (x * x / 4. + 1.) / c d = (0.375 * x * x - 1.) * x tu = s / (r * a * c) y = tu c = y + 1 while (abs (y - c) EPS): sy = sin(y) cy = cos(y) cz = cos(b + y) e = 2. * cz * cz - 1. c = y x = e * cy y = e + e - 1. y = (((sy * sy * 4. - 3.) * y * cz * d / 6. + x) * d / 4. - cz) * sy * d + tu b = cu * cy * cf - su * sy c = r * sqrt(sa * sa + b * b) d = su * cy + cu * sy * cf glat2 = (arctan2(d, c) + pi) % (2*pi) - pi c = cu * cy - su * sy * cf x = arctan2(sy * sf, c) c = ((-3. * c2a + 4.) * f + 4.) * c2a * f / 16. d = ((e * cy * c + cz) * sy * c + y) * sa glon2 = ((glon1 + x - (1. - c) * d * f + pi) % (2*pi)) - pi baz = (arctan2(sa, b) + pi) % (2 * pi) glon2 *= 180./pi glat2 *= 180./pi baz *= 180./pi return (glon2, glat2, baz) #Create a basemap around N. Atlantic m = Basemap(llcrnrlon=-45.0,llcrnrlat=30.0,urcrnrlon=15.0,urcrnrlat=75.0, resolution='i',projection='merc',lon_0=-17.5,lat_0=60.0) m.drawcountries(linewidth=0.5) m.drawcoastlines(linewidth=0.5) m.bluemarble() m.drawparallels(arange(40.,75.,10.),labels=[1,0,0,0],color='black',dashes=[1,0],labelstyle='+/-',linewidth=0.2) # draw parallels m.drawmeridians(arange(-45.,15.,10.),labels=[0,0,0,1],color='black',dashes=[1,0],labelstyle='+/-',linewidth=0.2) # draw meridians # Shade region defined by great circles. x1, y1 = -9.1676613, 51.602 az1 = 270. az2 = 290. maxdist = 2000 x2, y2, baz = shoot(x1, y1, az1, maxdist) x3, y3, baz = shoot(x1, y1, az2, maxdist) m.drawgreatcircle(x1, y1, x2, y2, del_s=10, color='gray', lw=1.) m.drawgreatcircle(x1, y1, x3, y3, del_s=10, color='gray', lw=1.) a=linspace(x3,x1) b=linspace(y2,y1) c=linspace(y3,y1) fill_between(a, b, c, where=None, alpha=0.2) show() -- Live Security Virtual Conference Exclusive live event will cover all the ways today's security and threat landscape has changed and how IT managers can respond. Discussions will include endpoint security, mobile security and the latest in malware threats. http://www.accelacomm.com/jaw/sfrnl04242012/114/50122263/ ___ Matplotlib-users mailing list Matplotlib-users@lists.sourceforge.net https://lists.sourceforge.net/lists/listinfo/matplotlib-users -- Live Security Virtual Conference Exclusive live event will cover all the ways today's security and threat landscape has changed and how IT managers can respond. Discussions will include endpoint security, mobile security and the latest in malware threats. http://www.accelacomm.com/jaw/sfrnl04242012/114/50122263/___ Matplotlib-users mailing list Matplotlib-users@lists.sourceforge.net https://lists.sourceforge.net/lists/listinfo/matplotlib-users
