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0032863: Cone surface returns wrong v derivative

* Fix error on computing V first derivative on a cone (take into account the slope of the conical generatrix).
* Add DRAW command 'sderivative' to compute certain derivative on a surface.
This commit is contained in:
azv
2022-03-24 22:21:06 +03:00
committed by smoskvin
parent 5ae6f08cc6
commit e4753a7d16
3 changed files with 84 additions and 0 deletions

View File

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puts "================================================="
puts "0032863: Cone surface returns wrong v derivative "
puts "================================================="
puts ""
cone c 0.2 2.0
set u 5.23290599890759
set v 5.06498283391571
# reference data
svalue c $u $v x y z dux duy duz dvx dvy dvz d2ux d2uy d2uz d2vx d2vy d2vz d2uvx d2uvy d2uvz
set dxRef [list [dval x] [dval dux] [dval dvx] [dval d2ux] [dval d2uvx] [dval d2vx]]
set dyRef [list [dval y] [dval duy] [dval dvy] [dval d2uy] [dval d2uvy] [dval d2vy]]
set dzRef [list [dval z] [dval duz] [dval dvz] [dval d2uz] [dval d2uvz] [dval d2vz]]
# compute derivatives till the second order
puts "======================================="
set tolerance 1.e-7
for {set order 1} {$order <= 2} {incr order} {
for {set nv 0} {$nv <= $order} {incr nv} {
set nu [expr $order - $nv]
set offset [expr $order * ($order + 1) / 2 + $nv]
set ref_dx [lindex $dxRef $offset]
set ref_dy [lindex $dyRef $offset]
set ref_dz [lindex $dzRef $offset]
sderivative c $u $v $nu $nv dx dy dz
set dx [dval dx]
set dy [dval dy]
set dz [dval dz]
puts ""
puts "Order of derivative: Nu = $nu, Nv = $nv"
puts "Expected ($ref_dx, $ref_dy, $ref_dz)"
puts "Actual ($dx, $dy, $dz)"
checkreal "dX " $dx $ref_dx $tolerance $tolerance
checkreal "dY " $dy $ref_dy $tolerance $tolerance
checkreal "dZ " $dz $ref_dz $tolerance $tolerance
puts "======================================="
}
}