puts "========"
puts "OCC29712"
puts "========"
puts ""
#################################################
# Extrema algorithm raises exception
#################################################

# Curves c1 and c2 are concentric circles.
# However, they are bounded (trimmed) curves
# and are shifted relatively to each other.
# Please pay attention to the fact that the extrema
# algorithm works anti-symmetrically in this case.
# It is connected with the following:
# 1. In case Extrema "c1 c2" the last point of curve c2 
# is projected to c1 one. As result, two 
# extremas (point-circle) are found and they are returned.
# 2. The parallel regions (with infinite number of solution) is
# ignored because single pair is found with two nearest points.
# 3. In case Extrema "c2 c1" the first point of curve c1
# is projected to c2 one. As result, one extrema is found and it
# is returned. At that the last point of c1 is not projected at all
# because because it is included in parallel region (see item 2).

circle c1 0 0 0 0 0 1 100
circle c2 0 0 0 0 0 1 50
trim c1 c1 0 pi
trim c2 c2 -2.0 0.0

smallview

# Case 1

don c1 c2

foreach a [ directory ext_* ] { unset $a }
extrema c1 c2
if { [llength [ directory ext_* ] ] != 2 } {
  puts "Error: Wrong number of solutions (c1 c2)"
}

fit
checkview -2d -screenshot -path ${imagedir}/${test_image}_1.png

regexp {The length ext_1 is +([-0-9.+eE]+)} [length ext_1] full l11
regexp {The length ext_2 is +([-0-9.+eE]+)} [length ext_2] full l12

if { $l11 > $l12} {
  set tmp1 $l11
  set l11 $l12
  set l12 $tmp1
}

checkreal MinL1 $l11 50.0 1.0e-7 0.0
checkreal MaxL1 $l12 150.0 1.0e-7 0.0

# Case 2

don c1 c2

foreach a [ directory ext_* ] { unset $a }
extrema c2 c1
if { [llength [ directory ext_* ] ] != 1 } {
  puts "Error: Wrong number of solutions (c2 c1). See comment above."
}

fit
checkview -2d -screenshot -path ${imagedir}/${test_image}_2.png

regexp {The length ext_1 is +([-0-9.+eE]+)} [length ext_1] full l21

checkreal MinL2 $l21 50.0 1.0e-7 0.0