Compute more coefficients manually for use in the tests.

diff --git a/doc/spline3.lyx b/doc/spline3.lyx
index 2536cefce1fcc3b761033270e36a33ff3dab8541..0fd79228b491b2d485b346a7d597a5a74df92933 100644 (file)
--- a/doc/spline3.lyx
+++ b/doc/spline3.lyx
@@ -933,10 +933,166 @@ sage: c0012 = (5/24)*(I(1,1,1) + F(1,1,1) + T(1,1,1) + FT(1,1,1)) +
 
 \begin_layout Plain Layout
 
+sage: c0120 = (5/24)*(I(1,1,1) + F(1,1,1)) +
 \end_layout
 
 \begin_layout Plain Layout
 
+              (1/8)*(L(1,1,1) + T(1,1,1) + FL(1,1,1) + FT(1,1,1)) +
+\end_layout
+
+\begin_layout Plain Layout
+
+              (1/24)*(LT(1,1,1) + FLT(1,1,1)) 
+\end_layout
+
+\begin_layout Plain Layout
+
+\end_layout
+
+\begin_layout Plain Layout
+
+sage: c0102 = (5/24)*(I(1,1,1) + F(1,1,1)) +
+\end_layout
+
+\begin_layout Plain Layout
+
+              (1/8)*(R(1,1,1) + T(1,1,1) + FR(1,1,1) + FT(1,1,1)) +
+\end_layout
+
+\begin_layout Plain Layout
+
+              (1/24)*(RT(1,1,1) + FRT(1,1,1))
+\end_layout
+
+\begin_layout Plain Layout
+
+\end_layout
+
+\begin_layout Plain Layout
+
+sage: c0111 = (13/48)*(I(1,1,1) + F(1,1,1)) +
+\end_layout
+
+\begin_layout Plain Layout
+
+              (7/48)*(T(1,1,1) + FT(1,1,1)) +
+\end_layout
+
+\begin_layout Plain Layout
+
+              (1/32)*(L(1,1,1) + R(1,1,1) + FL(1,1,1) + FR(1,1,1)) +
+\end_layout
+
+\begin_layout Plain Layout
+
+              (1/96)*(LT(1,1,1) + RT(1,1,1) + FLT(1,1,1) + FRT(1,1,1))
+\end_layout
+
+\begin_layout Plain Layout
+
+\end_layout
+
+\begin_layout Plain Layout
+
+sage: c0210 = (13/48)*(I(1,1,1) + F(1,1,1)) +
+\end_layout
+
+\begin_layout Plain Layout
+
+              (17/192)*(L(1,1,1) + T(1,1,1) + FL(1,1,1) + FT(1,1,1)) + 
+\end_layout
+
+\begin_layout Plain Layout
+
+              (1/96)*(LT(1,1,1) + FLT(1,1,1)) + 
+\end_layout
+
+\begin_layout Plain Layout
+
+              (1/64)*(R(1,1,1) + D(1,1,1) + FR(1,1,1) + FD(1,1,1)) + 
+\end_layout
+
+\begin_layout Plain Layout
+
+              (1/192)*(RT(1,1,1) + LD(1,1,1) + FRT(1,1,1) + FLD(1,1,1))
+\end_layout
+
+\begin_layout Plain Layout
+
+\end_layout
+
+\begin_layout Plain Layout
+
+sage: c0201 = (13/48)*(I(1,1,1) + F(1,1,1)) + 
+\end_layout
+
+\begin_layout Plain Layout
+
+              (17/192)*(R(1,1,1) + T(1,1,1) + FR(1,1,1) + FT(1,1,1)) + 
+\end_layout
+
+\begin_layout Plain Layout
+
+              (1/96)*(RT(1,1,1) + FRT(1,1,1)) + 
+\end_layout
+
+\begin_layout Plain Layout
+
+              (1/64)*(L(1,1,1) + D(1,1,1) + FL(1,1,1) + FD(1,1,1)) +
+\end_layout
+
+\begin_layout Plain Layout
+
+              (1/192)*(RD(1,1,1) + LT(1,1,1) + FLT(1,1,1) + FRD(1,1,1))
+\end_layout
+
+\begin_layout Plain Layout
+
+\end_layout
+
+\begin_layout Plain Layout
+
+sage: c0300 = (13/48)*(I(1,1,1) + F(1,1,1)) +
+\end_layout
+
+\begin_layout Plain Layout
+
+              (5/96)*(L(1,1,1) + R(1,1,1) + T(1,1,1) + D(1,1,1) +
+\end_layout
+
+\begin_layout Plain Layout
+
+                      FL(1,1,1) + FR(1,1,1) + FT(1,1,1) + FD(1,1,1)) + 
+\end_layout
+
+\begin_layout Plain Layout
+
+              (1/192)*(RT(1,1,1) + RD(1,1,1) + LT(1,1,1) + LD(1,1,1) +
+\end_layout
+
+\begin_layout Plain Layout
+
+                       FRT(1,1,1) + FRD(1,1,1) + FLT(1,1,1) + FLD(1,1,1))
+\end_layout
+
+\begin_layout Plain Layout
+
+\end_layout
+
+\begin_layout Plain Layout
+
+sage: c1020 = (1/4)*I(1,1,1) +
+\end_layout
+
+\begin_layout Plain Layout
+
+              (1/6)*(F(1,1,1) + L(1,1,1) + T(1,1,1)) +
+\end_layout
+
+\begin_layout Plain Layout
+
+              (1/12)*(LT(1,1,1) + FL(1,1,1) + FT(1,1,1))
 \end_layout
 
 \end_inset
@@ -1005,6 +1161,104 @@ sage: c0012
 71/24
 \end_layout
 
+\begin_layout Plain Layout
+
+\end_layout
+
+\begin_layout Plain Layout
+
+sage: c0120
+\end_layout
+
+\begin_layout Plain Layout
+
+55/24
+\end_layout
+
+\begin_layout Plain Layout
+
+\end_layout
+
+\begin_layout Plain Layout
+
+sage: c0102
+\end_layout
+
+\begin_layout Plain Layout
+
+73/24
+\end_layout
+
+\begin_layout Plain Layout
+
+\end_layout
+
+\begin_layout Plain Layout
+
+sage: c0111
+\end_layout
+
+\begin_layout Plain Layout
+
+8/3
+\end_layout
+
+\begin_layout Plain Layout
+
+\end_layout
+
+\begin_layout Plain Layout
+
+sage: c0210 
+\end_layout
+
+\begin_layout Plain Layout
+
+29/12
+\end_layout
+
+\begin_layout Plain Layout
+
+\end_layout
+
+\begin_layout Plain Layout
+
+sage: c0201
+\end_layout
+
+\begin_layout Plain Layout
+
+11/4
+\end_layout
+
+\begin_layout Plain Layout
+
+\end_layout
+
+\begin_layout Plain Layout
+
+sage: c0300
+\end_layout
+
+\begin_layout Plain Layout
+
+5/2
+\end_layout
+
+\begin_layout Plain Layout
+
+\end_layout
+
+\begin_layout Plain Layout
+
+sage: c1020
+\end_layout
+
+\begin_layout Plain Layout
+
+8/3
+\end_layout
+
 \end_inset