Nothing
xsplineTangent.s1pos.s2pos.noA0.A3.x <- function(px0, px1, px2, px3, py0, py1, py2, py3, s1, s2, t) {
(((((1/(-1 - s2) * ((t - 1 - s2)/(-1 - s2)) + ((t -
1 - s2)/(-1 - s2)) * (1/(-1 - s2))) * ((t - 1 - s2)/(-1 -
s2)) + ((t - 1 - s2)/(-1 - s2)) * ((t - 1 - s2)/(-1 - s2)) *
(1/(-1 - s2))) * (10 - (2 * (-1 - s2) * (-1 - s2)) + (2 *
(2 * (-1 - s2) * (-1 - s2)) - 15) * ((t - 1 - s2)/(-1 - s2)) +
(6 - (2 * (-1 - s2) * (-1 - s2))) * ((t - 1 - s2)/(-1 - s2)) *
((t - 1 - s2)/(-1 - s2))) + ((t - 1 - s2)/(-1 - s2)) *
((t - 1 - s2)/(-1 - s2)) * ((t - 1 - s2)/(-1 - s2)) * ((2 *
(2 * (-1 - s2) * (-1 - s2)) - 15) * (1/(-1 - s2)) + ((6 -
(2 * (-1 - s2) * (-1 - s2))) * (1/(-1 - s2)) * ((t - 1 -
s2)/(-1 - s2)) + (6 - (2 * (-1 - s2) * (-1 - s2))) * ((t -
1 - s2)/(-1 - s2)) * (1/(-1 - s2))))) * px1 + (((1/(1 + s1) *
((t + s1)/(1 + s1)) + ((t + s1)/(1 + s1)) * (1/(1 + s1))) *
((t + s1)/(1 + s1)) + ((t + s1)/(1 + s1)) * ((t + s1)/(1 +
s1)) * (1/(1 + s1))) * (10 - (2 * (1 + s1) * (1 + s1)) +
(2 * (2 * (1 + s1) * (1 + s1)) - 15) * ((t + s1)/(1 + s1)) +
(6 - (2 * (1 + s1) * (1 + s1))) * ((t + s1)/(1 + s1)) * ((t +
s1)/(1 + s1))) + ((t + s1)/(1 + s1)) * ((t + s1)/(1 +
s1)) * ((t + s1)/(1 + s1)) * ((2 * (2 * (1 + s1) * (1 + s1)) -
15) * (1/(1 + s1)) + ((6 - (2 * (1 + s1) * (1 + s1))) * (1/(1 +
s1)) * ((t + s1)/(1 + s1)) + (6 - (2 * (1 + s1) * (1 + s1))) *
((t + s1)/(1 + s1)) * (1/(1 + s1))))) * px2 + (((1/(1 + s2) *
((t - 1 + s2)/(1 + s2)) + ((t - 1 + s2)/(1 + s2)) * (1/(1 +
s2))) * ((t - 1 + s2)/(1 + s2)) + ((t - 1 + s2)/(1 + s2)) *
((t - 1 + s2)/(1 + s2)) * (1/(1 + s2))) * (10 - (2 * (1 +
s2) * (1 + s2)) + (2 * (2 * (1 + s2) * (1 + s2)) - 15) *
((t - 1 + s2)/(1 + s2)) + (6 - (2 * (1 + s2) * (1 + s2))) *
((t - 1 + s2)/(1 + s2)) * ((t - 1 + s2)/(1 + s2))) + ((t -
1 + s2)/(1 + s2)) * ((t - 1 + s2)/(1 + s2)) * ((t - 1 + s2)/(1 +
s2)) * ((2 * (2 * (1 + s2) * (1 + s2)) - 15) * (1/(1 + s2)) +
((6 - (2 * (1 + s2) * (1 + s2))) * (1/(1 + s2)) * ((t - 1 +
s2)/(1 + s2)) + (6 - (2 * (1 + s2) * (1 + s2))) * ((t -
1 + s2)/(1 + s2)) * (1/(1 + s2))))) * px3)/(0 + ((t -
1 - s2)/(-1 - s2)) * ((t - 1 - s2)/(-1 - s2)) * ((t - 1 -
s2)/(-1 - s2)) * (10 - (2 * (-1 - s2) * (-1 - s2)) + (2 *
(2 * (-1 - s2) * (-1 - s2)) - 15) * ((t - 1 - s2)/(-1 - s2)) +
(6 - (2 * (-1 - s2) * (-1 - s2))) * ((t - 1 - s2)/(-1 - s2)) *
((t - 1 - s2)/(-1 - s2))) + ((t + s1)/(1 + s1)) * ((t +
s1)/(1 + s1)) * ((t + s1)/(1 + s1)) * (10 - (2 * (1 + s1) *
(1 + s1)) + (2 * (2 * (1 + s1) * (1 + s1)) - 15) * ((t +
s1)/(1 + s1)) + (6 - (2 * (1 + s1) * (1 + s1))) * ((t + s1)/(1 +
s1)) * ((t + s1)/(1 + s1))) + ((t - 1 + s2)/(1 + s2)) * ((t -
1 + s2)/(1 + s2)) * ((t - 1 + s2)/(1 + s2)) * (10 - (2 *
(1 + s2) * (1 + s2)) + (2 * (2 * (1 + s2) * (1 + s2)) - 15) *
((t - 1 + s2)/(1 + s2)) + (6 - (2 * (1 + s2) * (1 + s2))) *
((t - 1 + s2)/(1 + s2)) * ((t - 1 + s2)/(1 + s2)))) - (0 *
px0 + ((t - 1 - s2)/(-1 - s2)) * ((t - 1 - s2)/(-1 - s2)) *
((t - 1 - s2)/(-1 - s2)) * (10 - (2 * (-1 - s2) * (-1 - s2)) +
(2 * (2 * (-1 - s2) * (-1 - s2)) - 15) * ((t - 1 - s2)/(-1 -
s2)) + (6 - (2 * (-1 - s2) * (-1 - s2))) * ((t - 1 -
s2)/(-1 - s2)) * ((t - 1 - s2)/(-1 - s2))) * px1 + ((t +
s1)/(1 + s1)) * ((t + s1)/(1 + s1)) * ((t + s1)/(1 + s1)) *
(10 - (2 * (1 + s1) * (1 + s1)) + (2 * (2 * (1 + s1) * (1 +
s1)) - 15) * ((t + s1)/(1 + s1)) + (6 - (2 * (1 + s1) *
(1 + s1))) * ((t + s1)/(1 + s1)) * ((t + s1)/(1 + s1))) *
px2 + ((t - 1 + s2)/(1 + s2)) * ((t - 1 + s2)/(1 + s2)) *
((t - 1 + s2)/(1 + s2)) * (10 - (2 * (1 + s2) * (1 + s2)) +
(2 * (2 * (1 + s2) * (1 + s2)) - 15) * ((t - 1 + s2)/(1 +
s2)) + (6 - (2 * (1 + s2) * (1 + s2))) * ((t - 1 + s2)/(1 +
s2)) * ((t - 1 + s2)/(1 + s2))) * px3) * (((1/(-1 - s2) *
((t - 1 - s2)/(-1 - s2)) + ((t - 1 - s2)/(-1 - s2)) * (1/(-1 -
s2))) * ((t - 1 - s2)/(-1 - s2)) + ((t - 1 - s2)/(-1 - s2)) *
((t - 1 - s2)/(-1 - s2)) * (1/(-1 - s2))) * (10 - (2 * (-1 -
s2) * (-1 - s2)) + (2 * (2 * (-1 - s2) * (-1 - s2)) - 15) *
((t - 1 - s2)/(-1 - s2)) + (6 - (2 * (-1 - s2) * (-1 - s2))) *
((t - 1 - s2)/(-1 - s2)) * ((t - 1 - s2)/(-1 - s2))) + ((t -
1 - s2)/(-1 - s2)) * ((t - 1 - s2)/(-1 - s2)) * ((t - 1 -
s2)/(-1 - s2)) * ((2 * (2 * (-1 - s2) * (-1 - s2)) - 15) *
(1/(-1 - s2)) + ((6 - (2 * (-1 - s2) * (-1 - s2))) * (1/(-1 -
s2)) * ((t - 1 - s2)/(-1 - s2)) + (6 - (2 * (-1 - s2) * (-1 -
s2))) * ((t - 1 - s2)/(-1 - s2)) * (1/(-1 - s2)))) + (((1/(1 +
s1) * ((t + s1)/(1 + s1)) + ((t + s1)/(1 + s1)) * (1/(1 +
s1))) * ((t + s1)/(1 + s1)) + ((t + s1)/(1 + s1)) * ((t +
s1)/(1 + s1)) * (1/(1 + s1))) * (10 - (2 * (1 + s1) * (1 +
s1)) + (2 * (2 * (1 + s1) * (1 + s1)) - 15) * ((t + s1)/(1 +
s1)) + (6 - (2 * (1 + s1) * (1 + s1))) * ((t + s1)/(1 + s1)) *
((t + s1)/(1 + s1))) + ((t + s1)/(1 + s1)) * ((t + s1)/(1 +
s1)) * ((t + s1)/(1 + s1)) * ((2 * (2 * (1 + s1) * (1 + s1)) -
15) * (1/(1 + s1)) + ((6 - (2 * (1 + s1) * (1 + s1))) * (1/(1 +
s1)) * ((t + s1)/(1 + s1)) + (6 - (2 * (1 + s1) * (1 + s1))) *
((t + s1)/(1 + s1)) * (1/(1 + s1))))) + (((1/(1 + s2) * ((t -
1 + s2)/(1 + s2)) + ((t - 1 + s2)/(1 + s2)) * (1/(1 + s2))) *
((t - 1 + s2)/(1 + s2)) + ((t - 1 + s2)/(1 + s2)) * ((t -
1 + s2)/(1 + s2)) * (1/(1 + s2))) * (10 - (2 * (1 + s2) *
(1 + s2)) + (2 * (2 * (1 + s2) * (1 + s2)) - 15) * ((t -
1 + s2)/(1 + s2)) + (6 - (2 * (1 + s2) * (1 + s2))) * ((t -
1 + s2)/(1 + s2)) * ((t - 1 + s2)/(1 + s2))) + ((t - 1 +
s2)/(1 + s2)) * ((t - 1 + s2)/(1 + s2)) * ((t - 1 + s2)/(1 +
s2)) * ((2 * (2 * (1 + s2) * (1 + s2)) - 15) * (1/(1 + s2)) +
((6 - (2 * (1 + s2) * (1 + s2))) * (1/(1 + s2)) * ((t - 1 +
s2)/(1 + s2)) + (6 - (2 * (1 + s2) * (1 + s2))) * ((t -
1 + s2)/(1 + s2)) * (1/(1 + s2))))))/(0 + ((t - 1 - s2)/(-1 -
s2)) * ((t - 1 - s2)/(-1 - s2)) * ((t - 1 - s2)/(-1 - s2)) *
(10 - (2 * (-1 - s2) * (-1 - s2)) + (2 * (2 * (-1 - s2) *
(-1 - s2)) - 15) * ((t - 1 - s2)/(-1 - s2)) + (6 - (2 *
(-1 - s2) * (-1 - s2))) * ((t - 1 - s2)/(-1 - s2)) *
((t - 1 - s2)/(-1 - s2))) + ((t + s1)/(1 + s1)) * ((t +
s1)/(1 + s1)) * ((t + s1)/(1 + s1)) * (10 - (2 * (1 + s1) *
(1 + s1)) + (2 * (2 * (1 + s1) * (1 + s1)) - 15) * ((t +
s1)/(1 + s1)) + (6 - (2 * (1 + s1) * (1 + s1))) * ((t + s1)/(1 +
s1)) * ((t + s1)/(1 + s1))) + ((t - 1 + s2)/(1 + s2)) * ((t -
1 + s2)/(1 + s2)) * ((t - 1 + s2)/(1 + s2)) * (10 - (2 *
(1 + s2) * (1 + s2)) + (2 * (2 * (1 + s2) * (1 + s2)) - 15) *
((t - 1 + s2)/(1 + s2)) + (6 - (2 * (1 + s2) * (1 + s2))) *
((t - 1 + s2)/(1 + s2)) * ((t - 1 + s2)/(1 + s2))))^2)
}
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