def build_points_sat():
d=dist(sat[0][0],sat[0][1],sat[1][0],sat[1][1])
s=round(d/STEP_SIZE)#number of steps to obtain grid with step-size
for i in range(int(s)+1):
#adds all points between beginning and end of satellite path
points_sat.append((sat[0][0]+i/s*(sat[1][0]-sat[0][0]),sat[0][1]+i/s*(sat[1][1]-sat[0][1])))
def build_points_map():#devides the map into 1x(step-size)-arrays; this structure is required for plotting
d=dist(corner_bl[0],corner_bl[1],corner_br[0],corner_br[1])
u=round(d/STEP_SIZE)
for j in range(int(u)):#up
points_map_j=[]
for i in range(int(u)):#right
#adds all points between j-th and (j+1)st section to spree_j
points_map_j.append((corner_bl[0]+j/u*(corner_tl[0]-corner_bl[0]),corner_bl[1]+i/u*(corner_br[1]-corner_bl[1])))
if j==0:
latitudes.append(corner_bl[1]+i/u*(corner_br[1]-corner_bl[1]))
if i==0:
longitudes.append(corner_bl[0]+j/u*(corner_tl[0]-corner_bl[0]))
points_map.append(points_map_j)
def build_points_spree():
for j in range(len(spree)-1):
spree_j=[] #list of pints on j-th section of river spree
spree_j.append(spree[j])
spree_j.append(spree[j+1])
d_j=dist(spree[j][0],spree[j][1],spree[j+1][0],spree[j+1][1])
s_j=round(d_j/STEP_SIZE) #number of steps to obtain gris with size step-size
for i in range(int(s_j)+1):
#adds all points between j-th and (j+1)st section to spree_j
spree_j.append((spree_j[0][0]+i/s_j*(spree_j[1][0]-spree_j[0][0]),spree_j[0][1]+i/s_j*(spree_j[1][1]-spree_j[0][1])))
spree_j.pop()
points_spree.extend(spree_j) #adds j-th section of spree to total spree
points_spree.append(spree[len(spree)-1])
