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function ds = get_ds(xi,xf,u)
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dist = 0;
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numSteps = 10;
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dx = (xf-xi)/numSteps;
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z0 = get_z(xi,u);
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x0 = xi;
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for i=1:10
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tempX = x0+dx;
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if tempX > 0
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tempZ = get_z(tempX,u);
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else
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tempZ = 0;
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end
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dist = dist + (dx^2+(tempZ-z0)^2)^.5;
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z0 = tempZ;
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x0 = tempX;
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end
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ds =dist;