Problem 43638. For given xx,x, y vectors build spline of x and y and find yy values for xx vector.

For given xx,x, y vectors build spline of x and y and find yy values for xx vector.

Example

x = [ 1.0000 1.5000 2.0000 2.5000 3.0000 3.5000 4.0000 4.5000]

y=[ 0.8415 0.9975 0.9093 0.5985 0.1411 -0.3508 -0.7568 -0.9775]

xx=[ 1.0000 1.2000 1.4000 1.6000 1.8000 2.0000 2.2000 2.4000 2.6000 2.8000 3.0000 3.2000 3.4000 3.6000 3.8000 4.0000 4.2000 4.4000 4.6000 4.8000 5.0000]

result=[0.8415 0.9338 0.9861 0.9991 0.9733 0.9093 0.8085 0.6755 0.5155 18 0.3349 0.1411 -0.0584 -0.2556 -0.4423 -0.6114 -0.7568 -0.8726 -0.9527 -0.9912 -0.9820 0.9193]