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/usr/share/doc/gmsh/demos/splines.geo is in gmsh 2.5.1~beta2~svn10284~dfsg-1.

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lc = 1e-1 ;
xx = 0;

// Lines
p = newp;
Point(p) = {xx,  0,  0, 0.3*lc} ;
Point(p+1) = {xx+.5, 0,  0, lc} ;
Point(p+2) = {xx+.5, 1, 0, 0.1*lc} ;
Point(p+3) = {xx, 1, 0, lc} ;
l = newreg;
Line(l) = {p+3,p+2};
Line(l+1) = {p+2,p+1};
Line(l+2) = {p+1,p};
Line(l+3) = {p,p+3};
s = newreg;
Line Loop(s) = {-l,-(l+1),-(l+2),-(l+3)};
Plane Surface(s+1) = {s};

xx += 1;

// B-Splines
p = newp;
Point(p) = {xx,  0,  0, 0.3*lc} ;
Point(p+1) = {xx+.5, 0,  0, lc} ;
Point(p+2) = {xx+.5, 1, 0, 0.1*lc} ;
Point(p+3) = {xx, 1, 0, lc} ;
l = newreg;
BSpline(l) = {p+3,p+2,p+1,p+1,p};
Line(l+1) = {p,p+3};
s = newreg;
Line Loop(s) = {-l,-(l+1)};
Plane Surface(s+1) = s;

xx += 1;

// Splines (CatmullRom)
p = newp;
Point(p) = {xx,  0,  0, 0.3*lc} ;
Point(p+1) = {xx+.5, 0,  0, lc} ;
Point(p+2) = {xx+.5, 1, 0, 0.1*lc} ;
Point(p+3) = {xx, 1, 0, lc} ;
l = newreg;
Spline(l) = {p+3,p+2,p+1,p};
Line(l+1) = {p,p+3};
s = newreg;
Line Loop(s) = {-l,-(l+1)};
Plane Surface(s+1) = s;

xx += 1;

// Bezier
p = newp;
Point(p) = {xx,  0,  0, 0.3*lc} ;
Point(p+1) = {xx+.5, 0,  0, lc} ;
Point(p+2) = {xx+.5, 1, 0, 0.1*lc} ;
Point(p+3) = {xx, 1, 0, lc} ;
l = newreg;
//Bezier(l) = {p+3,p+2,p+1,p}; // Bezier curves are broken
BSpline(l) = {p+3,p+2,p+1,p};
Line(l+1) = {p,p+3};
s = newreg;
Line Loop(s) = {-l,-(l+1)};
Plane Surface(s+1) = s;

// Duplicate the surfaces, and use uniform mesh
p1 = newp;
Translate {0,-1.5,0} {
  Duplicata { Surface{6:18:4}; }
}
p2 = newp;
Printf("p1 p2 = %g %g", p1, p2);

Characteristic Length {p1:p2-1} = lc/5 ;