xref: /phasta/shapeFunction/src/Fn.c (revision 595995161822a203c8467e0e4a253d7bd7d6df32)
1*59599516SKenneth E. Jansen /*-------------------------------------------------------------------------
2*59599516SKenneth E. Jansen   Scientific Computation Research Center, RPI, Troy NY
3*59599516SKenneth E. Jansen   (C) Copyright 1995, RPI-SCOREC
4*59599516SKenneth E. Jansen 
5*59599516SKenneth E. Jansen   Project  : shapeFuntions
6*59599516SKenneth E. Jansen   Author(s): Saikat Dey
7*59599516SKenneth E. Jansen   Creation : Oct., 95
8*59599516SKenneth E. Jansen   Modifi.  :
9*59599516SKenneth E. Jansen   Function :
10*59599516SKenneth E. Jansen              mode shape for a triangular face. i,j are highest order of
11*59599516SKenneth E. Jansen              r,s in the polynomial, maple generated code.
12*59599516SKenneth E. Jansen -------------------------------------------------------------------------*/
13*59599516SKenneth E. Jansen 
14*59599516SKenneth E. Jansen #ifdef __cplusplus
15*59599516SKenneth E. Jansen extern "C" {
16*59599516SKenneth E. Jansen #endif
17*59599516SKenneth E. Jansen 
18*59599516SKenneth E. Jansen double Fn(int i, int j, double r, double s) {
19*59599516SKenneth E. Jansen    double f = 0.0;
20*59599516SKenneth E. Jansen    double t1,t2,t3,t4,t5,t6,t7,t8,t9,t10,t11,t12,t13,t14,t15,t16,t17,t18;
21*59599516SKenneth E. Jansen    double t19,t20,t21,t22,t23,t24,t25,t26,t27,t28,t29,t30,t31,t32,t33,t34;
22*59599516SKenneth E. Jansen    double t35,t36,t37,t38,t39,t40,t41,t42,t43,t44,t45,t47,t50,t51;
23*59599516SKenneth E. Jansen 
24*59599516SKenneth E. Jansen    /* p=3 0 0 */
25*59599516SKenneth E. Jansen    if( i==0 && j==0 ) {
26*59599516SKenneth E. Jansen       f = 1.0;
27*59599516SKenneth E. Jansen    /* p=4 0 1 */
28*59599516SKenneth E. Jansen    } else if( i==0 && j==1 ) {
29*59599516SKenneth E. Jansen       f = s-1.0/3.0;
30*59599516SKenneth E. Jansen    /* p=4 1 0 */
31*59599516SKenneth E. Jansen    } else if( i==1 && j==0 ) {
32*59599516SKenneth E. Jansen       f = r-1.0/3.0;
33*59599516SKenneth E. Jansen    /* p=5 0 2 */
34*59599516SKenneth E. Jansen    } else if( i==0 && j==2 ) {
35*59599516SKenneth E. Jansen       t1 = s*s;
36*59599516SKenneth E. Jansen       f = t1-3.0/4.0*s+3.0/28.0;
37*59599516SKenneth E. Jansen    /* p=5 1 1 */
38*59599516SKenneth E. Jansen    } else if( i==1 && j==1 ) {
39*59599516SKenneth E. Jansen       f = r*s-r/4-s/4+1.0/14.0;
40*59599516SKenneth E. Jansen    /* p=5 2 0 */
41*59599516SKenneth E. Jansen    } else if( i==2 && j==0 ) {
42*59599516SKenneth E. Jansen       t1 = r*r;
43*59599516SKenneth E. Jansen       f = t1-3.0/4.0*r+3.0/28.0;
44*59599516SKenneth E. Jansen    /* p=6 0 3 */
45*59599516SKenneth E. Jansen    } else if( i==0 && j==3 ) {
46*59599516SKenneth E. Jansen       t1 = s*s;
47*59599516SKenneth E. Jansen       f = t1*s-6.0/5.0*t1+2.0/5.0*s-1.0/30.0;
48*59599516SKenneth E. Jansen    /* p=6 1 2 */
49*59599516SKenneth E. Jansen    } else if( i==1 && j==2 ) {
50*59599516SKenneth E. Jansen       t1 = s*s;
51*59599516SKenneth E. Jansen       f = r*t1-3.0/5.0*r*s+r/15-t1/5+2.0/15.0*s-1.0/60.0;
52*59599516SKenneth E. Jansen    /* p=6 2 1 */
53*59599516SKenneth E. Jansen    } else if( i==2 && j==1 ) {
54*59599516SKenneth E. Jansen       t1 = r*r;
55*59599516SKenneth E. Jansen       f = t1*s-t1/5-3.0/5.0*r*s+2.0/15.0*r+s/15-1.0/60.0;
56*59599516SKenneth E. Jansen    /* p=6 3 0 */
57*59599516SKenneth E. Jansen    } else if( i==3 && j==0 ) {
58*59599516SKenneth E. Jansen       t1 = r*r;
59*59599516SKenneth E. Jansen       f = r*t1-6.0/5.0*t1+2.0/5.0*r-1.0/30.0;
60*59599516SKenneth E. Jansen    /* p=7 0 4 */
61*59599516SKenneth E. Jansen    } else if( i==0 && j==4 ) {
62*59599516SKenneth E. Jansen       t1 = s*s;
63*59599516SKenneth E. Jansen       t2 = t1*t1;
64*59599516SKenneth E. Jansen       f = t2-5.0/3.0*t1*s+10.0/11.0*t1-2.0/11.0*s+1.0/99.0;
65*59599516SKenneth E. Jansen    /* p=7 1 3 */
66*59599516SKenneth E. Jansen    } else if( i==1 && j==3 ) {
67*59599516SKenneth E. Jansen       t1 = s*s;
68*59599516SKenneth E. Jansen       t2 = t1*s;
69*59599516SKenneth E. Jansen       f = r*t2-r*t1+3.0/11.0*r*s-r/55-t2/6+2.0/11.0*t1-3.0/55.0*s+2.0/495.0;
70*59599516SKenneth E. Jansen    /* p=7 2 2 */
71*59599516SKenneth E. Jansen    } else if( i==2 && j==2 ) {
72*59599516SKenneth E. Jansen       t1 = r*r;
73*59599516SKenneth E. Jansen       t2 = s*s;
74*59599516SKenneth E. Jansen       f = t1*t2-t1*s/2+t1/22-r*t2/2+3.0/11.0*r*s-3.0/110.0*r+t2/22-3.0/110.0*s
75*59599516SKenneth E. Jansen +1.0/330.0;
76*59599516SKenneth E. Jansen    /* p=7 3 1 */
77*59599516SKenneth E. Jansen    } else if( i==3 && j==1 ) {
78*59599516SKenneth E. Jansen       t1 = r*r;
79*59599516SKenneth E. Jansen       t2 = r*t1;
80*59599516SKenneth E. Jansen       f = t2*s-t2/6-t1*s+2.0/11.0*t1+3.0/11.0*r*s-3.0/55.0*r-s/55+2.0/495.0;
81*59599516SKenneth E. Jansen    /* p=7 4 0 */
82*59599516SKenneth E. Jansen    } else if( i==4 && j==0 ) {
83*59599516SKenneth E. Jansen       t1 = r*r;
84*59599516SKenneth E. Jansen       t2 = t1*t1;
85*59599516SKenneth E. Jansen       f = t2-5.0/3.0*r*t1+10.0/11.0*t1-2.0/11.0*r+1.0/99.0;
86*59599516SKenneth E. Jansen    /* p=8 0 5 */
87*59599516SKenneth E. Jansen    } else if( i==0 && j==5 ) {
88*59599516SKenneth E. Jansen       t1 = s*s;
89*59599516SKenneth E. Jansen       t2 = t1*t1;
90*59599516SKenneth E. Jansen       f = t2*s-15.0/7.0*t2+150.0/91.0*t1*s-50.0/91.0*t1+75.0/1001.0*s-3.0/
91*59599516SKenneth E. Jansen 1001.0;
92*59599516SKenneth E. Jansen    /* p=8 1 4 */
93*59599516SKenneth E. Jansen    } else if( i==1 && j==4 ) {
94*59599516SKenneth E. Jansen       t1 = s*s;
95*59599516SKenneth E. Jansen       t2 = t1*t1;
96*59599516SKenneth E. Jansen       t4 = t1*s;
97*59599516SKenneth E. Jansen       f = r*t2-10.0/7.0*r*t4+60.0/91.0*r*t1-10.0/91.0*r*s+5.0/1001.0*r-t2/7+
98*59599516SKenneth E. Jansen 20.0/91.0*t4-10.0/91.0*t1+20.0/1001.0*s-1.0/1001.0;
99*59599516SKenneth E. Jansen    /* p=8 2 3 */
100*59599516SKenneth E. Jansen    } else if( i==2 && j==3 ) {
101*59599516SKenneth E. Jansen       t1 = r*r;
102*59599516SKenneth E. Jansen       t2 = s*s;
103*59599516SKenneth E. Jansen       t3 = t2*s;
104*59599516SKenneth E. Jansen       f = t1*t3-6.0/7.0*t1*t2+18.0/91.0*t1*s-t1/91-3.0/7.0*r*t3+36.0/91.0*r*
105*59599516SKenneth E. Jansen t2-9.0/91.0*r*s+6.0/1001.0*r+3.0/91.0*t3-3.0/91.0*t2+9.0/1001.0*s-3.0/5005.0;
106*59599516SKenneth E. Jansen    /* p=8 3 2 */
107*59599516SKenneth E. Jansen    } else if( i==3 && j==2 ) {
108*59599516SKenneth E. Jansen       t1 = r*r;
109*59599516SKenneth E. Jansen       t2 = r*t1;
110*59599516SKenneth E. Jansen       t3 = s*s;
111*59599516SKenneth E. Jansen       f = t2*t3-3.0/7.0*t2*s+3.0/91.0*t2-6.0/7.0*t1*t3+36.0/91.0*t1*s-3.0/
112*59599516SKenneth E. Jansen 91.0*t1+18.0/91.0*r*t3-9.0/91.0*r*s+9.0/1001.0*r-t3/91+6.0/1001.0*s-3.0/5005.0;
113*59599516SKenneth E. Jansen    /* p=8 4 1 */
114*59599516SKenneth E. Jansen    } else if( i==4 && j==1 ) {
115*59599516SKenneth E. Jansen       t1 = r*r;
116*59599516SKenneth E. Jansen       t2 = t1*t1;
117*59599516SKenneth E. Jansen       t4 = r*t1;
118*59599516SKenneth E. Jansen       f = t2*s-t2/7-10.0/7.0*t4*s+20.0/91.0*t4+60.0/91.0*t1*s-10.0/91.0*t1
119*59599516SKenneth E. Jansen -10.0/91.0*r*s+20.0/1001.0*r+5.0/1001.0*s-1.0/1001.0;
120*59599516SKenneth E. Jansen    /* p=8 5 0 */
121*59599516SKenneth E. Jansen    } else if( i==5 && j==0 ) {
122*59599516SKenneth E. Jansen       t1 = r*r;
123*59599516SKenneth E. Jansen       t2 = t1*t1;
124*59599516SKenneth E. Jansen       f = r*t2-15.0/7.0*t2+150.0/91.0*r*t1-50.0/91.0*t1+75.0/1001.0*r-3.0/
125*59599516SKenneth E. Jansen 1001.0;
126*59599516SKenneth E. Jansen    /* p=9 0 6 */
127*59599516SKenneth E. Jansen    } else if( i==0 && j==6 ) {
128*59599516SKenneth E. Jansen       t1 = s*s;
129*59599516SKenneth E. Jansen       t2 = t1*t1;
130*59599516SKenneth E. Jansen       f = t1*t2-21.0/8.0*t2*s+21.0/8.0*t2-5.0/4.0*t1*s+15.0/52.0*t1-3.0/104.0*
131*59599516SKenneth E. Jansen s+1.0/1144.0;
132*59599516SKenneth E. Jansen    /* p=9 1 5 */
133*59599516SKenneth E. Jansen    } else if( i==1 && j==5 ) {
134*59599516SKenneth E. Jansen       t1 = s*s;
135*59599516SKenneth E. Jansen       t2 = t1*t1;
136*59599516SKenneth E. Jansen       t3 = t2*s;
137*59599516SKenneth E. Jansen       t6 = t1*s;
138*59599516SKenneth E. Jansen       f = r*t3-15.0/8.0*r*t2+5.0/4.0*r*t6-5.0/14.0*r*t1+15.0/364.0*r*s-r/728-
139*59599516SKenneth E. Jansen t3/8+t2/4-5.0/28.0*t6+5.0/91.0*t1-5.0/728.0*s+1.0/4004.0;
140*59599516SKenneth E. Jansen    /* p=9 2 4 */
141*59599516SKenneth E. Jansen    } else if( i==2 && j==4 ) {
142*59599516SKenneth E. Jansen       t1 = r*r;
143*59599516SKenneth E. Jansen       t2 = s*s;
144*59599516SKenneth E. Jansen       t3 = t2*t2;
145*59599516SKenneth E. Jansen       t5 = t2*s;
146*59599516SKenneth E. Jansen       f = t1*t3-5.0/4.0*t1*t5+t1*t2/2-t1*s/14+t1/364-3.0/8.0*r*t3+r*t5/2-3.0/
147*59599516SKenneth E. Jansen 14.0*r*t2+3.0/91.0*r*s-r/728+t3/40-t5/28+3.0/182.0*t2-s/364+1.0/8008.0;
148*59599516SKenneth E. Jansen    /* p=9 3 3 */
149*59599516SKenneth E. Jansen    } else if( i==3 && j==3 ) {
150*59599516SKenneth E. Jansen       t1 = r*r;
151*59599516SKenneth E. Jansen       t2 = r*t1;
152*59599516SKenneth E. Jansen       t3 = s*s;
153*59599516SKenneth E. Jansen       t4 = t3*s;
154*59599516SKenneth E. Jansen       f = t2*t4-3.0/4.0*t2*t3+3.0/20.0*t2*s-t2/140-3.0/4.0*t1*t4+3.0/5.0*t1*
155*59599516SKenneth E. Jansen t3-9.0/70.0*t1*s+3.0/455.0*t1+3.0/20.0*r*t4-9.0/70.0*r*t3+27.0/910.0*r*s-3.0/
156*59599516SKenneth E. Jansen 1820.0*r-t4/140+3.0/455.0*t3-3.0/1820.0*s+1.0/10010.0;
157*59599516SKenneth E. Jansen    /* p=9 4 2 */
158*59599516SKenneth E. Jansen    } else if( i==4 && j==2 ) {
159*59599516SKenneth E. Jansen       t1 = r*r;
160*59599516SKenneth E. Jansen       t2 = t1*t1;
161*59599516SKenneth E. Jansen       t3 = s*s;
162*59599516SKenneth E. Jansen       t6 = r*t1;
163*59599516SKenneth E. Jansen       f = t2*t3-3.0/8.0*t2*s+t2/40-5.0/4.0*t6*t3+t6*s/2-t6/28+t1*t3/2-3.0/
164*59599516SKenneth E. Jansen 14.0*t1*s+3.0/182.0*t1-r*t3/14+3.0/91.0*r*s-r/364+t3/364-s/728+1.0/8008.0;
165*59599516SKenneth E. Jansen    /* p=9 5 1 */
166*59599516SKenneth E. Jansen    } else if( i==5 && j==1 ) {
167*59599516SKenneth E. Jansen       t1 = r*r;
168*59599516SKenneth E. Jansen       t2 = t1*t1;
169*59599516SKenneth E. Jansen       t3 = r*t2;
170*59599516SKenneth E. Jansen       t6 = r*t1;
171*59599516SKenneth E. Jansen       f = t3*s-t3/8-15.0/8.0*t2*s+t2/4+5.0/4.0*t6*s-5.0/28.0*t6-5.0/14.0*t1*s
172*59599516SKenneth E. Jansen +5.0/91.0*t1+15.0/364.0*r*s-5.0/728.0*r-s/728+1.0/4004.0;
173*59599516SKenneth E. Jansen    /* p=9 6 0 */
174*59599516SKenneth E. Jansen    } else if( i==6 && j==0 ) {
175*59599516SKenneth E. Jansen       t1 = r*r;
176*59599516SKenneth E. Jansen       t2 = t1*t1;
177*59599516SKenneth E. Jansen       f = t1*t2-21.0/8.0*r*t2+21.0/8.0*t2-5.0/4.0*r*t1+15.0/52.0*t1-3.0/104.0*
178*59599516SKenneth E. Jansen r+1.0/1144.0;
179*59599516SKenneth E. Jansen    /* p=10 0 7 */
180*59599516SKenneth E. Jansen    } else if( i==0 && j==7 ) {
181*59599516SKenneth E. Jansen       t1 = s*s;
182*59599516SKenneth E. Jansen       t2 = t1*s;
183*59599516SKenneth E. Jansen       t3 = t1*t1;
184*59599516SKenneth E. Jansen       f = t2*t3-28.0/9.0*t1*t3+196.0/51.0*t3*s-245.0/102.0*t3+245.0/306.0*t2
185*59599516SKenneth E. Jansen -7.0/51.0*t1+7.0/663.0*s-1.0/3978.0;
186*59599516SKenneth E. Jansen    /* p=10 1 6 */
187*59599516SKenneth E. Jansen    } else if( i==1 && j==6 ) {
188*59599516SKenneth E. Jansen       t1 = s*s;
189*59599516SKenneth E. Jansen       t2 = t1*t1;
190*59599516SKenneth E. Jansen       t3 = t1*t2;
191*59599516SKenneth E. Jansen       t5 = t2*s;
192*59599516SKenneth E. Jansen       t8 = t1*s;
193*59599516SKenneth E. Jansen       f = r*t3-7.0/3.0*r*t5+35.0/17.0*r*t2-175.0/204.0*r*t8+35.0/204.0*r*t1-r
194*59599516SKenneth E. Jansen *s/68+r/2652-t3/9+14.0/51.0*t5-35.0/136.0*t2+35.0/306.0*t8-5.0/204.0*t1+s/442
195*59599516SKenneth E. Jansen -1.0/15912.0;
196*59599516SKenneth E. Jansen    /* p=10 2 5 */
197*59599516SKenneth E. Jansen    } else if( i==2 && j==5 ) {
198*59599516SKenneth E. Jansen       t1 = r*r;
199*59599516SKenneth E. Jansen       t2 = s*s;
200*59599516SKenneth E. Jansen       t3 = t2*t2;
201*59599516SKenneth E. Jansen       t4 = t3*s;
202*59599516SKenneth E. Jansen       t7 = t2*s;
203*59599516SKenneth E. Jansen       f = t1*t4-5.0/3.0*t1*t3+50.0/51.0*t1*t7-25.0/102.0*t1*t2+5.0/204.0*t1*s
204*59599516SKenneth E. Jansen -t1/1428-r*t4/3+10.0/17.0*r*t3-25.0/68.0*r*t7+5.0/51.0*r*t2-5.0/476.0*r*s+r
205*59599516SKenneth E. Jansen /3094+t4/51-5.0/136.0*t3+5.0/204.0*t7-5.0/714.0*t2+5.0/6188.0*s-1.0/37128.0;
206*59599516SKenneth E. Jansen    /* p=10 3 4 */
207*59599516SKenneth E. Jansen    } else if( i==3 && j==4 ) {
208*59599516SKenneth E. Jansen       t1 = r*r;
209*59599516SKenneth E. Jansen       t2 = t1*r;
210*59599516SKenneth E. Jansen       t3 = s*s;
211*59599516SKenneth E. Jansen       t4 = t3*t3;
212*59599516SKenneth E. Jansen       t6 = t3*s;
213*59599516SKenneth E. Jansen       f = t2*t4-10.0/9.0*t2*t6+20.0/51.0*t2*t3-5.0/102.0*t2*s+t2/612-2.0/3.0*
214*59599516SKenneth E. Jansen t1*t4+40.0/51.0*t1*t6-5.0/17.0*t1*t3+2.0/51.0*t1*s-t1/714+2.0/17.0*r*t4-5.0/
215*59599516SKenneth E. Jansen 34.0*r*t6+r*t3/17-r*s/119+r/3094-t4/204+t6/153-t3/357+2.0/4641.0*s-1.0/55692.0;
216*59599516SKenneth E. Jansen    /* p=10 4 3 */
217*59599516SKenneth E. Jansen    } else if( i==4 && j==3 ) {
218*59599516SKenneth E. Jansen       t1 = r*r;
219*59599516SKenneth E. Jansen       t2 = t1*t1;
220*59599516SKenneth E. Jansen       t3 = s*s;
221*59599516SKenneth E. Jansen       t4 = t3*s;
222*59599516SKenneth E. Jansen       t8 = t1*r;
223*59599516SKenneth E. Jansen       f = t2*t4-2.0/3.0*t2*t3+2.0/17.0*t2*s-t2/204-10.0/9.0*t8*t4+40.0/51.0*
224*59599516SKenneth E. Jansen t8*t3-5.0/34.0*t8*s+t8/153+20.0/51.0*t1*t4-5.0/17.0*t1*t3+t1*s/17-t1/357-5.0/
225*59599516SKenneth E. Jansen 102.0*r*t4+2.0/51.0*r*t3-r*s/119+2.0/4641.0*r+t4/612-t3/714+s/3094-1.0/55692.0;
226*59599516SKenneth E. Jansen    /* p=10 5 2 */
227*59599516SKenneth E. Jansen    } else if( i==5 && j==2 ) {
228*59599516SKenneth E. Jansen       t1 = r*r;
229*59599516SKenneth E. Jansen       t2 = t1*t1;
230*59599516SKenneth E. Jansen       t3 = r*t2;
231*59599516SKenneth E. Jansen       t4 = s*s;
232*59599516SKenneth E. Jansen       t9 = t1*r;
233*59599516SKenneth E. Jansen       f = t3*t4-t3*s/3+t3/51-5.0/3.0*t2*t4+10.0/17.0*t2*s-5.0/136.0*t2+50.0/
234*59599516SKenneth E. Jansen 51.0*t9*t4-25.0/68.0*t9*s+5.0/204.0*t9-25.0/102.0*t1*t4+5.0/51.0*t1*s-5.0/714.0
235*59599516SKenneth E. Jansen *t1+5.0/204.0*r*t4-5.0/476.0*r*s+5.0/6188.0*r-t4/1428+s/3094-1.0/37128.0;
236*59599516SKenneth E. Jansen    /* p=10 6 1 */
237*59599516SKenneth E. Jansen    } else if( i==6 && j==1 ) {
238*59599516SKenneth E. Jansen       t1 = r*r;
239*59599516SKenneth E. Jansen       t2 = t1*t1;
240*59599516SKenneth E. Jansen       t3 = t1*t2;
241*59599516SKenneth E. Jansen       t5 = r*t2;
242*59599516SKenneth E. Jansen       t8 = t1*r;
243*59599516SKenneth E. Jansen       f = t3*s-t3/9-7.0/3.0*t5*s+14.0/51.0*t5+35.0/17.0*t2*s-35.0/136.0*t2
244*59599516SKenneth E. Jansen -175.0/204.0*t8*s+35.0/306.0*t8+35.0/204.0*t1*s-5.0/204.0*t1-r*s/68+r/442+s
245*59599516SKenneth E. Jansen /2652-1.0/15912.0;
246*59599516SKenneth E. Jansen    /* p=10 7 0 */
247*59599516SKenneth E. Jansen    } else if( i==7 && j==0 ) {
248*59599516SKenneth E. Jansen       t1 = r*r;
249*59599516SKenneth E. Jansen       t2 = t1*r;
250*59599516SKenneth E. Jansen       t3 = t1*t1;
251*59599516SKenneth E. Jansen       f = t2*t3-28.0/9.0*t1*t3+196.0/51.0*r*t3-245.0/102.0*t3+245.0/306.0*t2
252*59599516SKenneth E. Jansen -7.0/51.0*t1+7.0/663.0*r-1.0/3978.0;
253*59599516SKenneth E. Jansen    /* p=11 0 8 */
254*59599516SKenneth E. Jansen    } else if( i==0 && j==8 ) {
255*59599516SKenneth E. Jansen       t1 = s*s;
256*59599516SKenneth E. Jansen       t2 = t1*t1;
257*59599516SKenneth E. Jansen       t3 = t2*t2;
258*59599516SKenneth E. Jansen       t4 = t1*s;
259*59599516SKenneth E. Jansen       f = t3-18.0/5.0*t2*t4+504.0/95.0*t1*t2-392.0/95.0*t2*s+588.0/323.0*t2
260*59599516SKenneth E. Jansen -147.0/323.0*t4+98.0/1615.0*t1-6.0/1615.0*s+3.0/41990.0;
261*59599516SKenneth E. Jansen    /* p=11 1 7 */
262*59599516SKenneth E. Jansen    } else if( i==1 && j==7 ) {
263*59599516SKenneth E. Jansen       t1 = s*s;
264*59599516SKenneth E. Jansen       t2 = t1*s;
265*59599516SKenneth E. Jansen       t3 = t1*t1;
266*59599516SKenneth E. Jansen       t4 = t2*t3;
267*59599516SKenneth E. Jansen       t6 = t1*t3;
268*59599516SKenneth E. Jansen       t8 = t3*s;
269*59599516SKenneth E. Jansen       f = r*t4-14.0/5.0*r*t6+294.0/95.0*r*t8-98.0/57.0*r*t3+490.0/969.0*r*t2
270*59599516SKenneth E. Jansen -49.0/646.0*t1*r+49.0/9690.0*r*s-r/9690-t4/10+28.0/95.0*t6-98.0/285.0*t8+196.0/
271*59599516SKenneth E. Jansen 969.0*t3-245.0/3876.0*t2+49.0/4845.0*t1-7.0/9690.0*s+1.0/62985.0;
272*59599516SKenneth E. Jansen    /* p=11 2 6 */
273*59599516SKenneth E. Jansen    } else if( i==2 && j==6 ) {
274*59599516SKenneth E. Jansen       t1 = r*r;
275*59599516SKenneth E. Jansen       t2 = s*s;
276*59599516SKenneth E. Jansen       t3 = t2*t2;
277*59599516SKenneth E. Jansen       t4 = t2*t3;
278*59599516SKenneth E. Jansen       t6 = t3*s;
279*59599516SKenneth E. Jansen       t9 = t2*s;
280*59599516SKenneth E. Jansen       t20 = 70.0/323.0*r*t9-105.0/2584.0*r*t2+21.0/6460.0*r*s-r/12920+3.0/190.0
281*59599516SKenneth E. Jansen *t4-7.0/190.0*t6+21.0/646.0*t3-35.0/2584.0*t9+7.0/2584.0*t2-3.0/12920.0*s+1.0/
282*59599516SKenneth E. Jansen 167960.0;
283*59599516SKenneth E. Jansen       f = t1*t4-21.0/10.0*t1*t6+63.0/38.0*t1*t3-35.0/57.0*t1*t9+35.0/323.0*t1
284*59599516SKenneth E. Jansen *t2-21.0/2584.0*t1*s+7.0/38760.0*t1-3.0/10.0*r*t4+63.0/95.0*r*t6-21.0/38.0*r*t3
285*59599516SKenneth E. Jansen +t20;
286*59599516SKenneth E. Jansen    /* p=11 3 5 */
287*59599516SKenneth E. Jansen    } else if( i==3 && j==5 ) {
288*59599516SKenneth E. Jansen       t1 = r*r;
289*59599516SKenneth E. Jansen       t2 = t1*r;
290*59599516SKenneth E. Jansen       t3 = s*s;
291*59599516SKenneth E. Jansen       t4 = t3*t3;
292*59599516SKenneth E. Jansen       t5 = t4*s;
293*59599516SKenneth E. Jansen       t8 = t3*s;
294*59599516SKenneth E. Jansen       t17 = t2*t5-3.0/2.0*t2*t4+15.0/19.0*t2*t8-10.0/57.0*t2*t3+5.0/323.0*t2*s-
295*59599516SKenneth E. Jansen t2/2584-3.0/5.0*t1*t5+18.0/19.0*t1*t4-10.0/19.0*t1*t8+40.0/323.0*t1*t3-15.0/
296*59599516SKenneth E. Jansen 1292.0*t1*s+t1/3230;
297*59599516SKenneth E. Jansen       t23 = 9.0/95.0*r*t5-3.0/19.0*r*t4+30.0/323.0*r*t8-15.0/646.0*r*t3+3.0/
298*59599516SKenneth E. Jansen 1292.0*r*s-3.0/45220.0*r-t5/285+2.0/323.0*t4-5.0/1292.0*t8+t3/969-s/9044+1.0/
299*59599516SKenneth E. Jansen 293930.0;
300*59599516SKenneth E. Jansen       f = t17+t23;
301*59599516SKenneth E. Jansen    /* p=11 4 4 */
302*59599516SKenneth E. Jansen    } else if( i==4 && j==4 ) {
303*59599516SKenneth E. Jansen       t1 = r*r;
304*59599516SKenneth E. Jansen       t2 = t1*t1;
305*59599516SKenneth E. Jansen       t3 = s*s;
306*59599516SKenneth E. Jansen       t4 = t3*s;
307*59599516SKenneth E. Jansen       t6 = t1*r;
308*59599516SKenneth E. Jansen       t7 = t3*t3;
309*59599516SKenneth E. Jansen       t12 = 1.0/352716.0-t2*t4+t1/1938-5.0/3876.0*t6+t3/1938-5.0/3876.0*t4+t7
310*59599516SKenneth E. Jansen /969-s/13566-2.0/57.0*r*t7-20.0/57.0*t6*t3+2.0/969.0*r*s+20.0/19.0*t6*t4;
311*59599516SKenneth E. Jansen       t24 = -5.0/323.0*r*t3+40.0/323.0*t1*t3-t6*t7+40.0/969.0*t6*s+6.0/19.0*t1*
312*59599516SKenneth E. Jansen t7-20.0/57.0*t1*t4+t2*t7-5.0/323.0*t1*s+6.0/19.0*t2*t3-2.0/57.0*t2*s+40.0/969.0
313*59599516SKenneth E. Jansen *r*t4+t2/969-r/13566;
314*59599516SKenneth E. Jansen       f = t12+t24;
315*59599516SKenneth E. Jansen    /* p=11 5 3 */
316*59599516SKenneth E. Jansen    } else if( i==5 && j==3 ) {
317*59599516SKenneth E. Jansen       t1 = r*r;
318*59599516SKenneth E. Jansen       t2 = t1*t1;
319*59599516SKenneth E. Jansen       t3 = r*t2;
320*59599516SKenneth E. Jansen       t4 = s*s;
321*59599516SKenneth E. Jansen       t5 = t4*s;
322*59599516SKenneth E. Jansen       t12 = t1*r;
323*59599516SKenneth E. Jansen       t16 = t3*t5-3.0/5.0*t3*t4+9.0/95.0*t3*s-t3/285-3.0/2.0*t2*t5+18.0/19.0*t2
324*59599516SKenneth E. Jansen *t4-3.0/19.0*t2*s+2.0/323.0*t2+15.0/19.0*t12*t5-10.0/19.0*t12*t4+30.0/323.0*t12
325*59599516SKenneth E. Jansen *s-5.0/1292.0*t12;
326*59599516SKenneth E. Jansen       t23 = -10.0/57.0*t1*t5+40.0/323.0*t1*t4-15.0/646.0*t1*s+t1/969+5.0/323.0*
327*59599516SKenneth E. Jansen r*t5-15.0/1292.0*r*t4+3.0/1292.0*r*s-r/9044-t5/2584+t4/3230-3.0/45220.0*s+1.0/
328*59599516SKenneth E. Jansen 293930.0;
329*59599516SKenneth E. Jansen       f = t16+t23;
330*59599516SKenneth E. Jansen    /* p=11 6 2 */
331*59599516SKenneth E. Jansen    } else if( i==6 && j==2 ) {
332*59599516SKenneth E. Jansen       t1 = r*r;
333*59599516SKenneth E. Jansen       t2 = t1*t1;
334*59599516SKenneth E. Jansen       t3 = t2*t1;
335*59599516SKenneth E. Jansen       t4 = s*s;
336*59599516SKenneth E. Jansen       t7 = r*t2;
337*59599516SKenneth E. Jansen       t12 = t1*r;
338*59599516SKenneth E. Jansen       t20 = 70.0/323.0*t12*s-35.0/2584.0*t12+35.0/323.0*t1*t4-105.0/2584.0*t1*s
339*59599516SKenneth E. Jansen +7.0/2584.0*t1-21.0/2584.0*r*t4+21.0/6460.0*r*s-3.0/12920.0*r+7.0/38760.0*t4-s
340*59599516SKenneth E. Jansen /12920+1.0/167960.0;
341*59599516SKenneth E. Jansen       f = t3*t4-3.0/10.0*t3*s+3.0/190.0*t3-21.0/10.0*t7*t4+63.0/95.0*t7*s-7.0
342*59599516SKenneth E. Jansen /190.0*t7+63.0/38.0*t2*t4-21.0/38.0*t2*s+21.0/646.0*t2-35.0/57.0*t12*t4+t20;
343*59599516SKenneth E. Jansen    /* p=11 7 1 */
344*59599516SKenneth E. Jansen    } else if( i==7 && j==1 ) {
345*59599516SKenneth E. Jansen       t1 = r*r;
346*59599516SKenneth E. Jansen       t2 = t1*r;
347*59599516SKenneth E. Jansen       t3 = t1*t1;
348*59599516SKenneth E. Jansen       t4 = t2*t3;
349*59599516SKenneth E. Jansen       t6 = t1*t3;
350*59599516SKenneth E. Jansen       t8 = r*t3;
351*59599516SKenneth E. Jansen       f = t4*s-t4/10-14.0/5.0*t6*s+28.0/95.0*t6+294.0/95.0*t8*s-98.0/285.0*t8
352*59599516SKenneth E. Jansen -98.0/57.0*t3*s+196.0/969.0*t3+490.0/969.0*t2*s-245.0/3876.0*t2-49.0/646.0*t1*s
353*59599516SKenneth E. Jansen +49.0/4845.0*t1+49.0/9690.0*r*s-7.0/9690.0*r-s/9690+1.0/62985.0;
354*59599516SKenneth E. Jansen    /* p=11 8 0 */
355*59599516SKenneth E. Jansen    } else if( i==8 && j==0 ) {
356*59599516SKenneth E. Jansen       t1 = r*r;
357*59599516SKenneth E. Jansen       t2 = t1*t1;
358*59599516SKenneth E. Jansen       t3 = t2*t2;
359*59599516SKenneth E. Jansen       t4 = t1*r;
360*59599516SKenneth E. Jansen       f = t3-18.0/5.0*t2*t4+504.0/95.0*t2*t1-392.0/95.0*r*t2+588.0/323.0*t2
361*59599516SKenneth E. Jansen -147.0/323.0*t4+98.0/1615.0*t1-6.0/1615.0*r+3.0/41990.0;
362*59599516SKenneth E. Jansen    /* p=12 0 9 */
363*59599516SKenneth E. Jansen    } else if( i==0 && j==9 ) {
364*59599516SKenneth E. Jansen       t1 = s*s;
365*59599516SKenneth E. Jansen       t2 = t1*t1;
366*59599516SKenneth E. Jansen       t3 = t2*t2;
367*59599516SKenneth E. Jansen       t5 = t1*s;
368*59599516SKenneth E. Jansen       f = t3*s-45.0/11.0*t3+540.0/77.0*t2*t5-72.0/11.0*t2*t1+756.0/209.0*t2*s
369*59599516SKenneth E. Jansen -252.0/209.0*t2+840.0/3553.0*t5-90.0/3553.0*t1+9.0/7106.0*s-1.0/49742.0;
370*59599516SKenneth E. Jansen    /* p=12 1 8 */
371*59599516SKenneth E. Jansen    } else if( i==1 && j==8 ) {
372*59599516SKenneth E. Jansen       t1 = s*s;
373*59599516SKenneth E. Jansen       t2 = t1*t1;
374*59599516SKenneth E. Jansen       t3 = t2*t2;
375*59599516SKenneth E. Jansen       t5 = t1*s;
376*59599516SKenneth E. Jansen       t6 = t2*t5;
377*59599516SKenneth E. Jansen       t8 = t2*t1;
378*59599516SKenneth E. Jansen       t10 = t2*s;
379*59599516SKenneth E. Jansen       f = r*t3-36.0/11.0*r*t6+48.0/11.0*r*t8-168.0/55.0*r*t10+252.0/209.0*r*
380*59599516SKenneth E. Jansen t2-56.0/209.0*r*t5+112.0/3553.0*t1*r-6.0/3553.0*r*s+r/35530-t3/11+24.0/77.0*t6
381*59599516SKenneth E. Jansen -24.0/55.0*t8+336.0/1045.0*t10-28.0/209.0*t2+112.0/3553.0*t5-14.0/3553.0*t1+4.0
382*59599516SKenneth E. Jansen /17765.0*s-1.0/248710.0;
383*59599516SKenneth E. Jansen    /* p=12 2 7 */
384*59599516SKenneth E. Jansen    } else if( i==2 && j==7 ) {
385*59599516SKenneth E. Jansen       t1 = r*r;
386*59599516SKenneth E. Jansen       t2 = s*s;
387*59599516SKenneth E. Jansen       t3 = t2*s;
388*59599516SKenneth E. Jansen       t4 = t2*t2;
389*59599516SKenneth E. Jansen       t5 = t3*t4;
390*59599516SKenneth E. Jansen       t7 = t2*t4;
391*59599516SKenneth E. Jansen       t9 = t4*s;
392*59599516SKenneth E. Jansen       t19 = t1*t5-28.0/11.0*t1*t7+28.0/11.0*t1*t9-14.0/11.0*t1*t4+70.0/209.0*t1
393*59599516SKenneth E. Jansen *t3-28.0/627.0*t2*t1+28.0/10659.0*t1*s-t1/21318-3.0/11.0*r*t5+8.0/11.0*r*t7
394*59599516SKenneth E. Jansen -42.0/55.0*r*t9+84.0/209.0*r*t4;
395*59599516SKenneth E. Jansen       t23 = -70.0/627.0*r*t3+56.0/3553.0*r*t2-7.0/7106.0*r*s+r/53295+t5/77-2.0/
396*59599516SKenneth E. Jansen 55.0*t7+42.0/1045.0*t9-14.0/627.0*t4+70.0/10659.0*t3-7.0/7106.0*t2+7.0/106590.0
397*59599516SKenneth E. Jansen *s-1.0/746130.0;
398*59599516SKenneth E. Jansen       f = t19+t23;
399*59599516SKenneth E. Jansen    /* p=12 3 6 */
400*59599516SKenneth E. Jansen    } else if( i==3 && j==6 ) {
401*59599516SKenneth E. Jansen       t1 = s*s;
402*59599516SKenneth E. Jansen       t2 = t1*t1;
403*59599516SKenneth E. Jansen       t3 = t2*t1;
404*59599516SKenneth E. Jansen       t5 = r*r;
405*59599516SKenneth E. Jansen       t6 = r*t5;
406*59599516SKenneth E. Jansen       t7 = t1*s;
407*59599516SKenneth E. Jansen       t10 = t2*s;
408*59599516SKenneth E. Jansen       t21 = 6.0/77.0*r*t3-5.0/11.0*t6*t7+27.0/209.0*r*t2-9.0/55.0*r*t10+15.0/
409*59599516SKenneth E. Jansen 11.0*t6*t2-21.0/11.0*t6*t10+t6*t3-1.0/1492260.0-10.0/209.0*r*t7+15.0/209.0*t6*
410*59599516SKenneth E. Jansen t1+12.0/3553.0*t5*s-6.0/11.0*t5*t3+12.0/11.0*t5*t10-9.0/11.0*t5*t2;
411*59599516SKenneth E. Jansen       t27 = 60.0/209.0*t5*t7-t6*s/209-t5/14212-10.0/209.0*t1*t5-5.0/14212.0*t1+
412*59599516SKenneth E. Jansen 30.0/3553.0*t1*r-9.0/14212.0*r*s+6.0/1045.0*t10+20.0/10659.0*t7-t2/209+s/35530+
413*59599516SKenneth E. Jansen t6/10659+r/71060-t3/385;
414*59599516SKenneth E. Jansen       f = t21+t27;
415*59599516SKenneth E. Jansen    /* p=12 4 5 */
416*59599516SKenneth E. Jansen    } else if( i==4 && j==5 ) {
417*59599516SKenneth E. Jansen       t1 = s*s;
418*59599516SKenneth E. Jansen       t2 = t1*t1;
419*59599516SKenneth E. Jansen       t4 = t2*s;
420*59599516SKenneth E. Jansen       t6 = r*r;
421*59599516SKenneth E. Jansen       t7 = r*t6;
422*59599516SKenneth E. Jansen       t13 = t1*s;
423*59599516SKenneth E. Jansen       t15 = t6*t6;
424*59599516SKenneth E. Jansen       t22 = 60.0/1463.0*r*t2-2.0/77.0*r*t4+100.0/77.0*t7*t2-25.0/49742.0*r*s+
425*59599516SKenneth E. Jansen 400.0/74613.0*t1*r-10.0/11.0*t7*t4-200.0/4389.0*t6*t1-1.0/2089164.0-100.0/
426*59599516SKenneth E. Jansen 4389.0*r*t13+15.0/1463.0*t15*s-30.0/77.0*t6*t2-10.0/77.0*t15*t1+50.0/77.0*t15*
427*59599516SKenneth E. Jansen t13+20.0/77.0*t6*t4+300.0/1463.0*t6*t13;
428*59599516SKenneth E. Jansen       t29 = t15*t4-15.0/11.0*t15*t2+100.0/24871.0*t6*s-50.0/4389.0*t7*s+200.0/
429*59599516SKenneth E. Jansen 1463.0*t1*t7-t15/4389-5.0/49742.0*t6-25.0/149226.0*t1-5.0/4389.0*t2+t4/1463+5.0
430*59599516SKenneth E. Jansen /298452.0*s-50.0/77.0*t7*t13+50.0/74613.0*t13+r/74613+20.0/74613.0*t7;
431*59599516SKenneth E. Jansen       f = t22+t29;
432*59599516SKenneth E. Jansen    /* p=12 5 4 */
433*59599516SKenneth E. Jansen    } else if( i==5 && j==4 ) {
434*59599516SKenneth E. Jansen       t1 = r*r;
435*59599516SKenneth E. Jansen       t2 = t1*t1;
436*59599516SKenneth E. Jansen       t3 = r*t2;
437*59599516SKenneth E. Jansen       t4 = s*s;
438*59599516SKenneth E. Jansen       t5 = t4*s;
439*59599516SKenneth E. Jansen       t10 = t4*t4;
440*59599516SKenneth E. Jansen       t12 = t1*r;
441*59599516SKenneth E. Jansen       t21 = -10.0/11.0*t5*t3+20.0/77.0*t3*t4+200.0/1463.0*t1*t5-5.0/4389.0*t2
442*59599516SKenneth E. Jansen -25.0/149226.0*t1-2.0/77.0*t3*s+15.0/1463.0*r*t10+50.0/77.0*t12*t10-25.0/
443*59599516SKenneth E. Jansen 49742.0*r*s+100.0/24871.0*r*t4-200.0/4389.0*t1*t4-30.0/77.0*t2*t4+100.0/77.0*t5
444*59599516SKenneth E. Jansen *t2-10.0/77.0*t1*t10-15.0/11.0*t2*t10;
445*59599516SKenneth E. Jansen       t29 = 400.0/74613.0*t1*s+60.0/1463.0*t2*s-100.0/4389.0*t12*s+t3*t10+300.0
446*59599516SKenneth E. Jansen /1463.0*t12*t4-50.0/4389.0*r*t5-50.0/77.0*t12*t5+50.0/74613.0*t12+20.0/74613.0*
447*59599516SKenneth E. Jansen t5-t10/4389+t3/1463-5.0/49742.0*t4+s/74613+5.0/298452.0*r-1.0/2089164.0;
448*59599516SKenneth E. Jansen       f = t21+t29;
449*59599516SKenneth E. Jansen    /* p=12 6 3 */
450*59599516SKenneth E. Jansen    } else if( i==6 && j==3 ) {
451*59599516SKenneth E. Jansen       t1 = s*s;
452*59599516SKenneth E. Jansen       t2 = r*r;
453*59599516SKenneth E. Jansen       t3 = t2*t2;
454*59599516SKenneth E. Jansen       t4 = t3*t2;
455*59599516SKenneth E. Jansen       t6 = t1*s;
456*59599516SKenneth E. Jansen       t9 = r*t2;
457*59599516SKenneth E. Jansen       t12 = t3*r;
458*59599516SKenneth E. Jansen       t15 = -t1/14212-1.0/1492260.0-6.0/11.0*t1*t4+t4*t6+6.0/77.0*t4*s+20.0/
459*59599516SKenneth E. Jansen 10659.0*t9-5.0/11.0*t9*t6-9.0/14212.0*r*s+6.0/1045.0*t12+12.0/11.0*t12*t1+t6
460*59599516SKenneth E. Jansen /10659-9.0/55.0*t12*s+s/71060+r/35530;
461*59599516SKenneth E. Jansen       t27 = -t4/385+27.0/209.0*t3*s-10.0/209.0*t9*s+30.0/3553.0*t2*s+15.0/209.0
462*59599516SKenneth E. Jansen *t2*t6+60.0/209.0*t9*t1-r*t6/209+15.0/11.0*t3*t6-t3/209-5.0/14212.0*t2-10.0/
463*59599516SKenneth E. Jansen 209.0*t2*t1-21.0/11.0*t12*t6+12.0/3553.0*t1*r-9.0/11.0*t3*t1;
464*59599516SKenneth E. Jansen       f = t15+t27;
465*59599516SKenneth E. Jansen    /* p=12 7 2 */
466*59599516SKenneth E. Jansen    } else if( i==7 && j==2 ) {
467*59599516SKenneth E. Jansen       t1 = r*r;
468*59599516SKenneth E. Jansen       t2 = t1*r;
469*59599516SKenneth E. Jansen       t3 = t1*t1;
470*59599516SKenneth E. Jansen       t4 = t3*t2;
471*59599516SKenneth E. Jansen       t5 = s*s;
472*59599516SKenneth E. Jansen       t8 = t3*t1;
473*59599516SKenneth E. Jansen       t11 = t3*r;
474*59599516SKenneth E. Jansen       t16 = t4*t5-3.0/11.0*t4*s+t4/77-28.0/11.0*t8*t5+8.0/11.0*t8*s-2.0/55.0*t8
475*59599516SKenneth E. Jansen +28.0/11.0*t11*t5-42.0/55.0*t11*s+42.0/1045.0*t11-14.0/11.0*t5*t3+84.0/209.0*t3
476*59599516SKenneth E. Jansen *s-14.0/627.0*t3;
477*59599516SKenneth E. Jansen       t23 = 70.0/209.0*t5*t2-70.0/627.0*t2*s+70.0/10659.0*t2-28.0/627.0*t1*t5+
478*59599516SKenneth E. Jansen 56.0/3553.0*t1*s-7.0/7106.0*t1+28.0/10659.0*r*t5-7.0/7106.0*r*s+7.0/106590.0*r-
479*59599516SKenneth E. Jansen t5/21318+s/53295-1.0/746130.0;
480*59599516SKenneth E. Jansen       f = t16+t23;
481*59599516SKenneth E. Jansen    /* p=12 8 1 */
482*59599516SKenneth E. Jansen    } else if( i==8 && j==1 ) {
483*59599516SKenneth E. Jansen       t1 = r*r;
484*59599516SKenneth E. Jansen       t2 = t1*t1;
485*59599516SKenneth E. Jansen       t3 = t2*t2;
486*59599516SKenneth E. Jansen       t5 = t1*r;
487*59599516SKenneth E. Jansen       t6 = t5*t2;
488*59599516SKenneth E. Jansen       t8 = t2*t1;
489*59599516SKenneth E. Jansen       t10 = r*t2;
490*59599516SKenneth E. Jansen       f = t3*s-t3/11-36.0/11.0*t6*s+24.0/77.0*t6+48.0/11.0*t8*s-24.0/55.0*t8
491*59599516SKenneth E. Jansen -168.0/55.0*t10*s+336.0/1045.0*t10+252.0/209.0*t2*s-28.0/209.0*t2-56.0/209.0*t5
492*59599516SKenneth E. Jansen *s+112.0/3553.0*t5+112.0/3553.0*t1*s-14.0/3553.0*t1-6.0/3553.0*r*s+4.0/17765.0*
493*59599516SKenneth E. Jansen r+s/35530-1.0/248710.0;
494*59599516SKenneth E. Jansen    /* p=12 9 0 */
495*59599516SKenneth E. Jansen    } else if( i==9 && j==0 ) {
496*59599516SKenneth E. Jansen       t1 = r*r;
497*59599516SKenneth E. Jansen       t2 = t1*t1;
498*59599516SKenneth E. Jansen       t3 = t2*t2;
499*59599516SKenneth E. Jansen       t5 = t1*r;
500*59599516SKenneth E. Jansen       t9 = t3*r-45.0/11.0*t3+540.0/77.0*t5*t2-72.0/11.0*t2*t1+756.0/209.0*r*t2
501*59599516SKenneth E. Jansen -252.0/209.0*t2+840.0/3553.0*t5-90.0/3553.0*t1+9.0/7106.0*r-1.0/49742.0;
502*59599516SKenneth E. Jansen    /* p=13 0 10 */
503*59599516SKenneth E. Jansen    } else if( i==0 && j==10 ) {
504*59599516SKenneth E. Jansen       t1 = s*s;
505*59599516SKenneth E. Jansen       t2 = t1*t1;
506*59599516SKenneth E. Jansen       t3 = t2*t2;
507*59599516SKenneth E. Jansen       t6 = t1*s;
508*59599516SKenneth E. Jansen       f = t3*t1-55.0/12.0*t3*s+825.0/92.0*t3-225.0/23.0*t2*t6+150.0/23.0*t2*
509*59599516SKenneth E. Jansen t1-63.0/23.0*t2*s+315.0/437.0*t2-50.0/437.0*t6+75.0/7429.0*t1-25.0/59432.0*s+
510*59599516SKenneth E. Jansen 1.0/178296.0;
511*59599516SKenneth E. Jansen    /* p=13 1 9 */
512*59599516SKenneth E. Jansen    } else if( i==1 && j==9 ) {
513*59599516SKenneth E. Jansen       t1 = s*s;
514*59599516SKenneth E. Jansen       t2 = t1*t1;
515*59599516SKenneth E. Jansen       t3 = t2*t2;
516*59599516SKenneth E. Jansen       t4 = t3*s;
517*59599516SKenneth E. Jansen       t7 = t1*s;
518*59599516SKenneth E. Jansen       t8 = t2*t7;
519*59599516SKenneth E. Jansen       t10 = t2*t1;
520*59599516SKenneth E. Jansen       t12 = t2*s;
521*59599516SKenneth E. Jansen       f = r*t4-15.0/4.0*r*t3+135.0/23.0*r*t8-1260.0/253.0*r*t10+630.0/253.0*r
522*59599516SKenneth E. Jansen *t12-189.0/253.0*r*t2+630.0/4807.0*r*t7-60.0/4807.0*r*t1+45.0/81719.0*r*s-5.0/
523*59599516SKenneth E. Jansen 653752.0*r-t4/12+15.0/46.0*t3-135.0/253.0*t8+120.0/253.0*t10-63.0/253.0*t12+
524*59599516SKenneth E. Jansen 378.0/4807.0*t2-70.0/4807.0*t7+120.0/81719.0*t1-45.0/653752.0*s+1.0/980628.0;
525*59599516SKenneth E. Jansen    /* p=13 2 8 */
526*59599516SKenneth E. Jansen    } else if( i==2 && j==8 ) {
527*59599516SKenneth E. Jansen       t1 = r*r;
528*59599516SKenneth E. Jansen       t2 = s*s;
529*59599516SKenneth E. Jansen       t3 = t2*t2;
530*59599516SKenneth E. Jansen       t4 = t3*s;
531*59599516SKenneth E. Jansen       t8 = t3*t3;
532*59599516SKenneth E. Jansen       t10 = t2*s;
533*59599516SKenneth E. Jansen       t11 = t3*t10;
534*59599516SKenneth E. Jansen       t17 = t3*t2;
535*59599516SKenneth E. Jansen       t19 = -588.0/253.0*t1*t4-28.0/4807.0*r*t2+24.0/81719.0*r*s+t1*t8-3.0*t1*
536*59599516SKenneth E. Jansen t11-4.0/4807.0*t1*s-63.0/253.0*r*t3-42.0/253.0*t1*t10+210.0/253.0*t1*t3+84.0/
537*59599516SKenneth E. Jansen 23.0*t1*t17-42.0/1265.0*t4+28.0/81719.0*t2+t1/81719;
538*59599516SKenneth E. Jansen       t26 = -3.0/653752.0*r-14.0/4807.0*t10-3.0/163438.0*s+1.0/3268760.0+18.0/
539*59599516SKenneth E. Jansen 23.0*r*t11-r*t8/4+252.0/4807.0*r*t10-252.0/253.0*r*t17+168.0/253.0*r*t4+84.0/
540*59599516SKenneth E. Jansen 4807.0*t2*t1+63.0/4807.0*t3-9.0/253.0*t11+t8/92+12.0/253.0*t17;
541*59599516SKenneth E. Jansen       f = t19+t26;
542*59599516SKenneth E. Jansen    /* p=13 3 7 */
543*59599516SKenneth E. Jansen    } else if( i==3 && j==7 ) {
544*59599516SKenneth E. Jansen       t1 = r*r;
545*59599516SKenneth E. Jansen       t2 = r*t1;
546*59599516SKenneth E. Jansen       t3 = s*s;
547*59599516SKenneth E. Jansen       t4 = t3*t3;
548*59599516SKenneth E. Jansen       t5 = t3*s;
549*59599516SKenneth E. Jansen       t6 = t4*t5;
550*59599516SKenneth E. Jansen       t7 = t4*s;
551*59599516SKenneth E. Jansen       t9 = t4*t3;
552*59599516SKenneth E. Jansen       t14 = 1.0/7354710.0-t2/43263+14.0/4807.0*t4-t6/506-35.0/43263.0*t5-7.0/
553*59599516SKenneth E. Jansen 980628.0*s+28.0/245157.0*t3-294.0/253.0*t1*t7+4.0/245157.0*t1-r/326876-7.0/
554*59599516SKenneth E. Jansen 1265.0*t7+4.0/759.0*t9+28.0/23.0*t1*t9-14.0/4807.0*r*t3+14.0/81719.0*r*s-t1*t6
555*59599516SKenneth E. Jansen /2;
556*59599516SKenneth E. Jansen       t31 = -14.0/14421.0*t1*s-21.0/253.0*r*t4+84.0/4807.0*t1*t3-35.0/253.0*t1*
557*59599516SKenneth E. Jansen t5+140.0/253.0*t1*t4+105.0/4807.0*r*t5+49.0/23.0*t2*t7-7.0/3.0*t2*t9+7.0/4807.0
558*59599516SKenneth E. Jansen *t2*s-7.0/253.0*t3*t2+175.0/759.0*t2*t5-245.0/253.0*t2*t4+3.0/46.0*r*t6+t2*t6
559*59599516SKenneth E. Jansen -42.0/253.0*r*t9+42.0/253.0*r*t7;
560*59599516SKenneth E. Jansen       f = t14+t31;
561*59599516SKenneth E. Jansen    /* p=13 4 6 */
562*59599516SKenneth E. Jansen    } else if( i==4 && j==6 ) {
563*59599516SKenneth E. Jansen       t1 = s*s;
564*59599516SKenneth E. Jansen       t2 = t1*s;
565*59599516SKenneth E. Jansen       t4 = r*r;
566*59599516SKenneth E. Jansen       t5 = t4*t4;
567*59599516SKenneth E. Jansen       t7 = t1*t1;
568*59599516SKenneth E. Jansen       t8 = t7*s;
569*59599516SKenneth E. Jansen       t9 = t7*t1;
570*59599516SKenneth E. Jansen       t15 = 1.0/11767536.0+50.0/4807.0*r*t2+t5/19228+75.0/4807.0*t4*t1+15.0/
571*59599516SKenneth E. Jansen 19228.0*t7-5.0/1961256.0*r-t8/1012+5.0/10626.0*t9-25.0/86526.0*t2-5.0/1307504.0
572*59599516SKenneth E. Jansen *s+25.0/490314.0*t1+5.0/245157.0*t4-105.0/253.0*t4*t8+5.0/23.0*t4*t9-25.0/
573*59599516SKenneth E. Jansen 14421.0*r*t1+10.0/81719.0*r*s-5.0/4807.0*t4*s;
574*59599516SKenneth E. Jansen       t21 = t4*r;
575*59599516SKenneth E. Jansen       t34 = -15.0/506.0*r*t7-25.0/253.0*t4*t2+75.0/253.0*t4*t7+105.0/92.0*t5*t7
576*59599516SKenneth E. Jansen -175.0/506.0*t5*t2+15.0/4807.0*t21*s-5.0/86526.0*t21+t5*t9-7.0/4.0*t5*t8+25.0/
577*59599516SKenneth E. Jansen 506.0*t5*t1-3.0/1012.0*t5*s+35.0/23.0*t21*t8-5.0/6.0*t21*t9-25.0/506.0*t21*t1+
578*59599516SKenneth E. Jansen 250.0/759.0*t21*t2-525.0/506.0*t21*t7-5.0/253.0*r*t9+10.0/253.0*r*t8;
579*59599516SKenneth E. Jansen       f = t15+t34;
580*59599516SKenneth E. Jansen    /* p=13 5 5 */
581*59599516SKenneth E. Jansen    } else if( i==5 && j==5 ) {
582*59599516SKenneth E. Jansen       t1 = s*s;
583*59599516SKenneth E. Jansen       t2 = t1*t1;
584*59599516SKenneth E. Jansen       t4 = r*r;
585*59599516SKenneth E. Jansen       t7 = t1*s;
586*59599516SKenneth E. Jansen       t10 = t4*t4;
587*59599516SKenneth E. Jansen       t11 = t10*r;
588*59599516SKenneth E. Jansen       t14 = t2*s;
589*59599516SKenneth E. Jansen       t19 = t4*r;
590*59599516SKenneth E. Jansen       t26 = 1.0/13728792.0-75.0/7084.0*r*t2-125.0/100947.0*t4*s+500.0/33649.0*
591*59599516SKenneth E. Jansen t4*t1-125.0/1771.0*t4*t7+250.0/1771.0*t4*t2-5.0/4.0*t11*t2-375.0/506.0*t10*t7
592*59599516SKenneth E. Jansen -5.0/4.0*t10*t14+375.0/67298.0*r*t7+250.0/1771.0*t10*t1-75.0/7084.0*t10*s+375.0
593*59599516SKenneth E. Jansen /67298.0*t19*s+625.0/1771.0*t19*t7-375.0/506.0*t19*t2+25.0/3542.0*r*t14+t11*t14
594*59599516SKenneth E. Jansen +25.0/3542.0*t11*s;
595*59599516SKenneth E. Jansen       t35 = -t14/7084-25.0/253.0*t4*t14-25.0/201894.0*t7+50.0/1716099.0*t4-25.0
596*59599516SKenneth E. Jansen /253.0*t11*t1+50.0/1716099.0*t1-25.0/9152528.0*r-t11/7084-125.0/100947.0*r*t1+
597*59599516SKenneth E. Jansen 125.0/1144066.0*r*s+25.0/46.0*t11*t7-25.0/9152528.0*s-125.0/1771.0*t19*t1-25.0/
598*59599516SKenneth E. Jansen 201894.0*t19+25.0/46.0*t19*t14+15.0/67298.0*t10+75.0/46.0*t10*t2+15.0/67298.0*
599*59599516SKenneth E. Jansen t2;
600*59599516SKenneth E. Jansen       f = t26+t35;
601*59599516SKenneth E. Jansen    /* p=13 6 4 */
602*59599516SKenneth E. Jansen    } else if( i==6 && j==4 ) {
603*59599516SKenneth E. Jansen       t1 = r*r;
604*59599516SKenneth E. Jansen       t2 = t1*t1;
605*59599516SKenneth E. Jansen       t3 = t2*t1;
606*59599516SKenneth E. Jansen       t4 = s*s;
607*59599516SKenneth E. Jansen       t5 = t4*t4;
608*59599516SKenneth E. Jansen       t7 = r*t2;
609*59599516SKenneth E. Jansen       t9 = t4*s;
610*59599516SKenneth E. Jansen       t25 = t3*t5-105.0/253.0*t4*t7-5.0/6.0*t3*t9-5.0/4807.0*t4*r+10.0/253.0*t7
611*59599516SKenneth E. Jansen *s+10.0/81719.0*r*s+35.0/23.0*t7*t9-25.0/14421.0*t1*s-3.0/1012.0*r*t5+75.0/
612*59599516SKenneth E. Jansen 4807.0*t4*t1-25.0/506.0*t1*t9+25.0/506.0*t5*t1-7.0/4.0*t5*t7+105.0/92.0*t5*t2
613*59599516SKenneth E. Jansen -525.0/506.0*t2*t9+15.0/4807.0*r*t9+75.0/253.0*t4*t2;
614*59599516SKenneth E. Jansen       t28 = r*t1;
615*59599516SKenneth E. Jansen       t34 = -15.0/506.0*t2*s-5.0/253.0*t3*s+50.0/4807.0*t28*s-25.0/253.0*t28*t4
616*59599516SKenneth E. Jansen +5.0/23.0*t3*t4+250.0/759.0*t28*t9-175.0/506.0*t28*t5+15.0/19228.0*t2+25.0/
617*59599516SKenneth E. Jansen 490314.0*t1-5.0/86526.0*t9+5.0/10626.0*t3-5.0/1307504.0*r+t5/19228-5.0/
618*59599516SKenneth E. Jansen 1961256.0*s-t7/1012+5.0/245157.0*t4-25.0/86526.0*t28+1.0/11767536.0;
619*59599516SKenneth E. Jansen       f = t25+t34;
620*59599516SKenneth E. Jansen    /* p=13 7 3 */
621*59599516SKenneth E. Jansen    } else if( i==7 && j==3 ) {
622*59599516SKenneth E. Jansen       t1 = s*s;
623*59599516SKenneth E. Jansen       t3 = r*r;
624*59599516SKenneth E. Jansen       t4 = t3*t3;
625*59599516SKenneth E. Jansen       t5 = t4*t3;
626*59599516SKenneth E. Jansen       t6 = t1*s;
627*59599516SKenneth E. Jansen       t10 = t3*r;
628*59599516SKenneth E. Jansen       t11 = t4*t10;
629*59599516SKenneth E. Jansen       t14 = t4*r;
630*59599516SKenneth E. Jansen       t16 = 1.0/7354710.0-s/326876-14.0/14421.0*r*t1+4.0/245157.0*t1-7.0/3.0*t5
631*59599516SKenneth E. Jansen *t6+4.0/759.0*t5-7.0/980628.0*r+14.0/81719.0*r*s+140.0/253.0*t4*t1+t11*t6+14.0/
632*59599516SKenneth E. Jansen 4807.0*t4-t11/506-t11*t1/2-t6/43263-7.0/1265.0*t14-294.0/253.0*t14*t1;
633*59599516SKenneth E. Jansen       t31 = 3.0/46.0*t11*s-35.0/43263.0*t10+175.0/759.0*t10*t6-21.0/253.0*t4*s
634*59599516SKenneth E. Jansen -245.0/253.0*t4*t6+49.0/23.0*t14*t6-35.0/253.0*t10*t1+7.0/4807.0*r*t6+28.0/
635*59599516SKenneth E. Jansen 245157.0*t3-7.0/253.0*t3*t6+42.0/253.0*t14*s+84.0/4807.0*t3*t1-14.0/4807.0*t3*s
636*59599516SKenneth E. Jansen -42.0/253.0*t5*s+105.0/4807.0*t10*s+28.0/23.0*t5*t1;
637*59599516SKenneth E. Jansen       f = t16+t31;
638*59599516SKenneth E. Jansen    /* p=13 8 2 */
639*59599516SKenneth E. Jansen    } else if( i==8 && j==2 ) {
640*59599516SKenneth E. Jansen       t1 = r*r;
641*59599516SKenneth E. Jansen       t2 = r*t1;
642*59599516SKenneth E. Jansen       t4 = s*s;
643*59599516SKenneth E. Jansen       t7 = t1*t1;
644*59599516SKenneth E. Jansen       t8 = t7*t1;
645*59599516SKenneth E. Jansen       t11 = t7*r;
646*59599516SKenneth E. Jansen       t14 = t7*t7;
647*59599516SKenneth E. Jansen       t17 = 1.0/3268760.0+28.0/81719.0*t1+252.0/4807.0*t2*s+84.0/4807.0*t4*t1
648*59599516SKenneth E. Jansen -28.0/4807.0*t1*s-252.0/253.0*t8*s+84.0/23.0*t8*t4+168.0/253.0*t11*s-42.0/253.0
649*59599516SKenneth E. Jansen *t2*t4+t14/92-t14*s/4-14.0/4807.0*t2+t14*t4;
650*59599516SKenneth E. Jansen       t18 = t7*t2;
651*59599516SKenneth E. Jansen       t26 = -9.0/253.0*t18+63.0/4807.0*t7+24.0/81719.0*r*s+210.0/253.0*t7*t4
652*59599516SKenneth E. Jansen -63.0/253.0*t7*s+18.0/23.0*t18*s-3.0*t18*t4-42.0/1265.0*t11-3.0/653752.0*s-4.0/
653*59599516SKenneth E. Jansen 4807.0*t4*r+t4/81719+12.0/253.0*t8-3.0/163438.0*r-588.0/253.0*t11*t4;
654*59599516SKenneth E. Jansen       f = t17+t26;
655*59599516SKenneth E. Jansen    /* p=13 9 1 */
656*59599516SKenneth E. Jansen    } else if( i==9 && j==1 ) {
657*59599516SKenneth E. Jansen       t1 = r*r;
658*59599516SKenneth E. Jansen       t2 = t1*t1;
659*59599516SKenneth E. Jansen       t3 = t2*t2;
660*59599516SKenneth E. Jansen       t4 = t3*r;
661*59599516SKenneth E. Jansen       t7 = r*t1;
662*59599516SKenneth E. Jansen       t8 = t7*t2;
663*59599516SKenneth E. Jansen       t10 = t2*t1;
664*59599516SKenneth E. Jansen       t12 = t2*r;
665*59599516SKenneth E. Jansen       f = t4*s-t4/12-15.0/4.0*t3*s+15.0/46.0*t3+135.0/23.0*t8*s-135.0/253.0*
666*59599516SKenneth E. Jansen t8-1260.0/253.0*t10*s+120.0/253.0*t10+630.0/253.0*t12*s-63.0/253.0*t12-189.0/
667*59599516SKenneth E. Jansen 253.0*t2*s+378.0/4807.0*t2+630.0/4807.0*t7*s-70.0/4807.0*t7-60.0/4807.0*t1*s+
668*59599516SKenneth E. Jansen 120.0/81719.0*t1+45.0/81719.0*r*s-45.0/653752.0*r-5.0/653752.0*s+1.0/980628.0;
669*59599516SKenneth E. Jansen    /* p=13 10 0 */
670*59599516SKenneth E. Jansen    } else if( i==10 && j==0 ) {
671*59599516SKenneth E. Jansen       t1 = r*r;
672*59599516SKenneth E. Jansen       t2 = t1*t1;
673*59599516SKenneth E. Jansen       t3 = t2*t2;
674*59599516SKenneth E. Jansen       t6 = r*t1;
675*59599516SKenneth E. Jansen       f = t3*t1-55.0/12.0*t3*r+825.0/92.0*t3-225.0/23.0*t2*t6+150.0/23.0*t2*
676*59599516SKenneth E. Jansen t1-63.0/23.0*t2*r+315.0/437.0*t2-50.0/437.0*t6+75.0/7429.0*t1-25.0/59432.0*r+
677*59599516SKenneth E. Jansen 1.0/178296.0;
678*59599516SKenneth E. Jansen    /* p=14 0 11 */
679*59599516SKenneth E. Jansen    } else if( i==0 && j==11 ) {
680*59599516SKenneth E. Jansen       t1 = s*s;
681*59599516SKenneth E. Jansen       t2 = t1*s;
682*59599516SKenneth E. Jansen       t3 = t1*t1;
683*59599516SKenneth E. Jansen       t4 = t3*t3;
684*59599516SKenneth E. Jansen       f = t4*t2-66.0/13.0*t4*t1+726.0/65.0*t4*s-363.0/26.0*t4+3267.0/299.0*t3
685*59599516SKenneth E. Jansen *t2-8316.0/1495.0*t3*t1+2772.0/1495.0*t3*s-594.0/1495.0*t3+297.0/5681.0*t2-22.0
686*59599516SKenneth E. Jansen /5681.0*t1+66.0/482885.0*s-3.0/1931540.0;
687*59599516SKenneth E. Jansen    /* p=14 1 10 */
688*59599516SKenneth E. Jansen    } else if( i==1 && j==10 ) {
689*59599516SKenneth E. Jansen       t1 = s*s;
690*59599516SKenneth E. Jansen       t2 = t1*t1;
691*59599516SKenneth E. Jansen       t3 = t2*t2;
692*59599516SKenneth E. Jansen       t4 = t3*t1;
693*59599516SKenneth E. Jansen       t6 = t3*s;
694*59599516SKenneth E. Jansen       t9 = t1*s;
695*59599516SKenneth E. Jansen       t10 = t2*t9;
696*59599516SKenneth E. Jansen       t12 = t2*t1;
697*59599516SKenneth E. Jansen       t14 = t2*s;
698*59599516SKenneth E. Jansen       t20 = r*t4-55.0/13.0*r*t6+99.0/13.0*r*t3-99.0/13.0*r*t10+1386.0/299.0*r*
699*59599516SKenneth E. Jansen t12-2646.0/1495.0*r*t14+126.0/299.0*r*t2-18.0/299.0*r*t9+27.0/5681.0*r*t1-r*s
700*59599516SKenneth E. Jansen /5681+r/482885;
701*59599516SKenneth E. Jansen       t21 = -t4/13+22.0/65.0*t6-33.0/52.0*t3+198.0/299.0*t10-126.0/299.0*t12+
702*59599516SKenneth E. Jansen 252.0/1495.0*t14-63.0/1495.0*t2+36.0/5681.0*t9-3.0/5681.0*t1+2.0/96577.0*s-1.0/
703*59599516SKenneth E. Jansen 3863080.0;
704*59599516SKenneth E. Jansen       f = t20+t21;
705*59599516SKenneth E. Jansen    /* p=14 2 9 */
706*59599516SKenneth E. Jansen    } else if( i==2 && j==9 ) {
707*59599516SKenneth E. Jansen       t1 = s*s;
708*59599516SKenneth E. Jansen       t2 = t1*t1;
709*59599516SKenneth E. Jansen       t3 = t2*t2;
710*59599516SKenneth E. Jansen       t6 = r*r;
711*59599516SKenneth E. Jansen       t7 = t2*t1;
712*59599516SKenneth E. Jansen       t9 = t1*s;
713*59599516SKenneth E. Jansen       t10 = t2*t9;
714*59599516SKenneth E. Jansen       t12 = t3*s;
715*59599516SKenneth E. Jansen       t14 = t2*s;
716*59599516SKenneth E. Jansen       t22 = 54.0/65.0*r*t3+648.0/312455.0*r*t1-252.0/65.0*t6*t7+324.0/65.0*t6*
717*59599516SKenneth E. Jansen t10+t6*t12-3.0/42493880.0+378.0/16445.0*t14+2646.0/1495.0*t6*t14-567.0/82225.0*
718*59599516SKenneth E. Jansen t2-7938.0/16445.0*t6*t2+81.0/312455.0*t6*s-45.0/13.0*t6*t3-378.0/16445.0*r*t9
719*59599516SKenneth E. Jansen -108.0/16445.0*t6*t1+252.0/3289.0*t6*t9;
720*59599516SKenneth E. Jansen       t29 = -7938.0/16445.0*r*t14+1512.0/1495.0*r*t7+2268.0/16445.0*r*t2-756.0/
721*59599516SKenneth E. Jansen 16445.0*t7-9.0/260.0*t3-t6/312455+81.0/1495.0*t10-81.0/65.0*r*t10-27.0/312455.0
722*59599516SKenneth E. Jansen *r*s-36.0/312455.0*t1+6.0/5311735.0*r+3.0/325.0*t12+378.0/312455.0*t9+27.0/
723*59599516SKenneth E. Jansen 5311735.0*s-3.0/13.0*r*t12;
724*59599516SKenneth E. Jansen       f = t22+t29;
725*59599516SKenneth E. Jansen    /* p=14 3 8 */
726*59599516SKenneth E. Jansen    } else if( i==3 && j==8 ) {
727*59599516SKenneth E. Jansen       t1 = r*r;
728*59599516SKenneth E. Jansen       t2 = r*t1;
729*59599516SKenneth E. Jansen       t3 = s*s;
730*59599516SKenneth E. Jansen       t4 = t3*s;
731*59599516SKenneth E. Jansen       t7 = t3*t3;
732*59599516SKenneth E. Jansen       t8 = t7*t3;
733*59599516SKenneth E. Jansen       t10 = t7*s;
734*59599516SKenneth E. Jansen       t13 = t7*t7;
735*59599516SKenneth E. Jansen       t15 = t7*t4;
736*59599516SKenneth E. Jansen       t25 = -1764.0/16445.0*t4*t2+168.0/16445.0*t3*t2+1008.0/325.0*t2*t8-588.0/
737*59599516SKenneth E. Jansen 325.0*t2*t10+882.0/1495.0*t2*t7+t2*t13-3.0/106234700.0+36.0/7475.0*t15-6.0/
738*59599516SKenneth E. Jansen 1562275.0*t1-72.0/1562275.0*r*s-54.0/325.0*r*t15+18.0/325.0*r*t13+1512.0/
739*59599516SKenneth E. Jansen 1562275.0*r*t3-504.0/325.0*t1*t8+432.0/325.0*t1*t15-6.0/13.0*t1*t13-756.0/
740*59599516SKenneth E. Jansen 82225.0*r*t4+432.0/1562275.0*t1*s;
741*59599516SKenneth E. Jansen       t35 = -504.0/82225.0*t3*t1+1008.0/16445.0*t4*t1-5292.0/16445.0*t1*t7+
742*59599516SKenneth E. Jansen 7056.0/7475.0*t1*t10-10584.0/82225.0*r*t10+1512.0/7475.0*r*t8-36.0/13.0*t2*t15+
743*59599516SKenneth E. Jansen 756.0/16445.0*r*t7-126.0/82225.0*t7-t13/650-504.0/82225.0*t8+336.0/82225.0*t10
744*59599516SKenneth E. Jansen -36.0/82225.0*t2*s+504.0/1562275.0*t4+48.0/26558675.0*s-56.0/1562275.0*t3+9.0/
745*59599516SKenneth E. Jansen 1562275.0*t2+18.0/26558675.0*r;
746*59599516SKenneth E. Jansen       f = t25+t35;
747*59599516SKenneth E. Jansen    /* p=14 4 7 */
748*59599516SKenneth E. Jansen    } else if( i==4 && j==7 ) {
749*59599516SKenneth E. Jansen       t1 = r*r;
750*59599516SKenneth E. Jansen       t2 = r*t1;
751*59599516SKenneth E. Jansen       t3 = s*s;
752*59599516SKenneth E. Jansen       t4 = t3*s;
753*59599516SKenneth E. Jansen       t7 = t3*t3;
754*59599516SKenneth E. Jansen       t8 = t7*t3;
755*59599516SKenneth E. Jansen       t12 = t7*t4;
756*59599516SKenneth E. Jansen       t14 = t1*t1;
757*59599516SKenneth E. Jansen       t22 = t7*s;
758*59599516SKenneth E. Jansen       t24 = 4.0/312455.0*t2+8.0/15935205.0*r-14.0/937365.0*t3+14.0/15935205.0*s
759*59599516SKenneth E. Jansen +7.0/62491.0*t4-490.0/3289.0*t4*t2+56.0/3289.0*t3*t2+112.0/65.0*t2*t8+196.0/
760*59599516SKenneth E. Jansen 299.0*t2*t7-28.0/937365.0*r*s-r*t12/65-1.0/63740820.0-294.0/16445.0*t14*t3+56.0
761*59599516SKenneth E. Jansen /3289.0*r*t7+14.0/16445.0*t14*s-10.0/13.0*t2*t12+49.0/299.0*t14*t4-49.0/65.0*
762*59599516SKenneth E. Jansen t14*t7+56.0/1495.0*r*t8+588.0/1495.0*t1*t22;
763*59599516SKenneth E. Jansen       t39 = -14.0/3289.0*r*t4+84.0/312455.0*t1*s-84.0/16445.0*t3*t1+140.0/
764*59599516SKenneth E. Jansen 3289.0*t4*t1-588.0/3289.0*t1*t7-588.0/16445.0*r*t22-4.0/937365.0*t1-t14/82225+
765*59599516SKenneth E. Jansen 588.0/325.0*t14*t22+t14*t12-28.0/13.0*t14*t8+168.0/312455.0*r*t3-28.0/65.0*t1*
766*59599516SKenneth E. Jansen t8+12.0/65.0*t1*t12+t12/2990-7.0/16445.0*t7+14.0/16445.0*t22-98.0/65.0*t2*t22
767*59599516SKenneth E. Jansen -14.0/16445.0*t8-14.0/16445.0*t2*s;
768*59599516SKenneth E. Jansen       f = t24+t39;
769*59599516SKenneth E. Jansen    /* p=14 5 6 */
770*59599516SKenneth E. Jansen    } else if( i==5 && j==6 ) {
771*59599516SKenneth E. Jansen       t1 = r*r;
772*59599516SKenneth E. Jansen       t2 = r*t1;
773*59599516SKenneth E. Jansen       t3 = s*s;
774*59599516SKenneth E. Jansen       t4 = t3*t3;
775*59599516SKenneth E. Jansen       t5 = t4*t3;
776*59599516SKenneth E. Jansen       t6 = t4*s;
777*59599516SKenneth E. Jansen       t8 = t3*s;
778*59599516SKenneth E. Jansen       t16 = t1*t1;
779*59599516SKenneth E. Jansen       t21 = t16*r;
780*59599516SKenneth E. Jansen       t24 = 75.0/3289.0*t3*t2+6.0/13.0*t2*t5-21.0/26.0*t2*t6+315.0/598.0*t4*t2
781*59599516SKenneth E. Jansen -3.0/124982.0*r*s+126.0/65.0*t16*t6-15.0/13.0*t16*t5+45.0/124982.0*r*t3-t1*t5
782*59599516SKenneth E. Jansen /13+21.0/598.0*t21*t3-15.0/6578.0*r*t8;
783*59599516SKenneth E. Jansen       t44 = t21*t5-21.0/13.0*t21*t6+105.0/299.0*t16*t8-63.0/32890.0*t21*s-63.0/
784*59599516SKenneth E. Jansen 52.0*t16*t4+9.0/3289.0*t16*s+42.0/299.0*t1*t6-t1/187473+t21/32890-3.0/65780.0*
785*59599516SKenneth E. Jansen t16-1.0/84987760.0;
786*59599516SKenneth E. Jansen       f = 3.0/124982.0*t2-3.0/32890.0*t5+3.0/16445.0*t6-9.0/65780.0*t4-9.0/
787*59599516SKenneth E. Jansen 6578.0*t2*s+r/2124694+3.0/62491.0*t8+3.0/5311735.0*s-t3/124982-525.0/3289.0*t2*
788*59599516SKenneth E. Jansen t8+t24+18.0/62491.0*t1*s-15.0/3289.0*t3*t1+100.0/3289.0*t1*t8-315.0/3289.0*t4*
789*59599516SKenneth E. Jansen t1-7.0/26.0*t21*t8-63.0/6578.0*r*t6+3.0/598.0*r*t5+63.0/65.0*t21*t4+45.0/6578.0
790*59599516SKenneth E. Jansen *r*t4-315.0/6578.0*t16*t3+t44;
791*59599516SKenneth E. Jansen    /* p=14 6 5 */
792*59599516SKenneth E. Jansen    } else if( i==6 && j==5 ) {
793*59599516SKenneth E. Jansen       t1 = r*r;
794*59599516SKenneth E. Jansen       t2 = s*s;
795*59599516SKenneth E. Jansen       t3 = t2*t2;
796*59599516SKenneth E. Jansen       t6 = t1*t1;
797*59599516SKenneth E. Jansen       t7 = r*t6;
798*59599516SKenneth E. Jansen       t9 = t3*s;
799*59599516SKenneth E. Jansen       t12 = t6*t1;
800*59599516SKenneth E. Jansen       t13 = t2*s;
801*59599516SKenneth E. Jansen       t24 = t1*r;
802*59599516SKenneth E. Jansen       t27 = 3.0/124982.0*t13+t12*t9-315.0/3289.0*t6*t2-1.0/84987760.0-3.0/
803*59599516SKenneth E. Jansen 124982.0*r*s+3.0/5311735.0*r+s/2124694-9.0/6578.0*r*t13+105.0/299.0*t24*t3+3.0/
804*59599516SKenneth E. Jansen 62491.0*t24-7.0/26.0*t24*t9;
805*59599516SKenneth E. Jansen       t44 = 75.0/3289.0*t1*t13-3.0/65780.0*t3-63.0/52.0*t6*t3-21.0/26.0*t7*t13
806*59599516SKenneth E. Jansen -3.0/32890.0*t12-t12*t2/13+3.0/16445.0*t7+42.0/299.0*t7*t2-15.0/6578.0*t24*s-t1
807*59599516SKenneth E. Jansen /124982+21.0/598.0*t1*t9;
808*59599516SKenneth E. Jansen       f = -315.0/6578.0*t3*t1-15.0/3289.0*t1*t2-63.0/6578.0*t7*s-63.0/32890.0
809*59599516SKenneth E. Jansen *r*t9+9.0/3289.0*r*t3+6.0/13.0*t12*t13+3.0/598.0*t12*s-21.0/13.0*t7*t9+45.0/
810*59599516SKenneth E. Jansen 124982.0*t1*s+126.0/65.0*t7*t3+t27+t9/32890+45.0/6578.0*t6*s-9.0/65780.0*t6+
811*59599516SKenneth E. Jansen 18.0/62491.0*r*t2-t2/187473+315.0/598.0*t6*t13-525.0/3289.0*t24*t13+100.0/
812*59599516SKenneth E. Jansen 3289.0*t24*t2+63.0/65.0*t6*t9-15.0/13.0*t12*t3+t44;
813*59599516SKenneth E. Jansen    /* p=14 7 4 */
814*59599516SKenneth E. Jansen    } else if( i==7 && j==4 ) {
815*59599516SKenneth E. Jansen       t1 = r*r;
816*59599516SKenneth E. Jansen       t2 = t1*r;
817*59599516SKenneth E. Jansen       t3 = t1*t1;
818*59599516SKenneth E. Jansen       t4 = t3*t2;
819*59599516SKenneth E. Jansen       t5 = s*s;
820*59599516SKenneth E. Jansen       t6 = t5*s;
821*59599516SKenneth E. Jansen       t9 = r*t3;
822*59599516SKenneth E. Jansen       t12 = t5*t5;
823*59599516SKenneth E. Jansen       t20 = t3*t1;
824*59599516SKenneth E. Jansen       t24 = -1.0/63740820.0-14.0/937365.0*t1-10.0/13.0*t4*t6+12.0/65.0*t4*t5
825*59599516SKenneth E. Jansen -98.0/65.0*t6*t9+56.0/3289.0*t6*t1+t4*t12-588.0/3289.0*t3*t5-294.0/16445.0*t1*
826*59599516SKenneth E. Jansen t12-84.0/16445.0*t1*t5+588.0/325.0*t12*t9-588.0/16445.0*t9*s+14.0/16445.0*r*t12
827*59599516SKenneth E. Jansen +56.0/1495.0*t20*s+t4/2990-14.0/16445.0*t20-t4*s/65+14.0/16445.0*t9+140.0/
828*59599516SKenneth E. Jansen 3289.0*t2*t5-t12/82225;
829*59599516SKenneth E. Jansen       t39 = -49.0/65.0*t12*t3-7.0/16445.0*t3+7.0/62491.0*t2-28.0/937365.0*r*s
830*59599516SKenneth E. Jansen -4.0/937365.0*t5+84.0/312455.0*r*t5+14.0/15935205.0*r+4.0/312455.0*t6+8.0/
831*59599516SKenneth E. Jansen 15935205.0*s-14.0/16445.0*r*t6+56.0/3289.0*t3*s+49.0/299.0*t12*t2-490.0/3289.0*
832*59599516SKenneth E. Jansen t6*t2+196.0/299.0*t6*t3+588.0/1495.0*t9*t5-14.0/3289.0*t2*s-28.0/65.0*t20*t5
833*59599516SKenneth E. Jansen -28.0/13.0*t20*t12+112.0/65.0*t20*t6+168.0/312455.0*t1*s;
834*59599516SKenneth E. Jansen       f = t24+t39;
835*59599516SKenneth E. Jansen    /* p=14 8 3 */
836*59599516SKenneth E. Jansen    } else if( i==8 && j==3 ) {
837*59599516SKenneth E. Jansen       t2 = s*s;
838*59599516SKenneth E. Jansen       t4 = t2*s;
839*59599516SKenneth E. Jansen       t6 = r*r;
840*59599516SKenneth E. Jansen       t7 = t6*r;
841*59599516SKenneth E. Jansen       t8 = t6*t6;
842*59599516SKenneth E. Jansen       t10 = t8*t8;
843*59599516SKenneth E. Jansen       t16 = t8*t6;
844*59599516SKenneth E. Jansen       t18 = t8*t7;
845*59599516SKenneth E. Jansen       t22 = 48.0/26558675.0*r-72.0/1562275.0*r*s+432.0/1562275.0*r*t2-36.0/
846*59599516SKenneth E. Jansen 82225.0*r*t4+504.0/1562275.0*t7+756.0/16445.0*t8*s-126.0/82225.0*t8-6.0/13.0*
847*59599516SKenneth E. Jansen t10*t2+1008.0/16445.0*t7*t2+882.0/1495.0*t8*t4+18.0/325.0*t10*s-1764.0/16445.0*
848*59599516SKenneth E. Jansen t7*t4-504.0/325.0*t16*t2-504.0/82225.0*t16-36.0/13.0*t18*t4+36.0/7475.0*t18
849*59599516SKenneth E. Jansen -54.0/325.0*t18*s-756.0/82225.0*t7*s;
850*59599516SKenneth E. Jansen       t23 = t8*r;
851*59599516SKenneth E. Jansen       t35 = 336.0/82225.0*t23+7056.0/7475.0*t23*t2-504.0/82225.0*t6*t2-5292.0/
852*59599516SKenneth E. Jansen 16445.0*t8*t2+168.0/16445.0*t6*t4-56.0/1562275.0*t6-588.0/325.0*t23*t4+t10*t4+
853*59599516SKenneth E. Jansen 432.0/325.0*t18*t2+1512.0/7475.0*t16*s+1008.0/325.0*t16*t4-10584.0/82225.0*t23*
854*59599516SKenneth E. Jansen s+1512.0/1562275.0*t6*s+9.0/1562275.0*t4+18.0/26558675.0*s-3.0/106234700.0-6.0/
855*59599516SKenneth E. Jansen 1562275.0*t2-t10/650;
856*59599516SKenneth E. Jansen       f = t22+t35;
857*59599516SKenneth E. Jansen    /* p=14 9 2 */
858*59599516SKenneth E. Jansen    } else if( i==9 && j==2 ) {
859*59599516SKenneth E. Jansen       t1 = s*s;
860*59599516SKenneth E. Jansen       t4 = r*r;
861*59599516SKenneth E. Jansen       t5 = t4*t4;
862*59599516SKenneth E. Jansen       t6 = t5*t5;
863*59599516SKenneth E. Jansen       t9 = t6*r;
864*59599516SKenneth E. Jansen       t12 = r*t4;
865*59599516SKenneth E. Jansen       t15 = t5*r;
866*59599516SKenneth E. Jansen       t18 = t5*t12;
867*59599516SKenneth E. Jansen       t20 = t5*t4;
868*59599516SKenneth E. Jansen       t24 = 81.0/312455.0*r*t1-27.0/312455.0*r*s+54.0/65.0*t6*s+2268.0/16445.0*
869*59599516SKenneth E. Jansen t5*s+t9*t1-3.0/13.0*t9*s+252.0/3289.0*t12*t1-45.0/13.0*t6*t1+2646.0/1495.0*t15*
870*59599516SKenneth E. Jansen t1-378.0/16445.0*t12*s-81.0/65.0*t18*s-3.0/42493880.0+1512.0/1495.0*t20*s+648.0
871*59599516SKenneth E. Jansen /312455.0*t4*s-7938.0/16445.0*t15*s;
872*59599516SKenneth E. Jansen       t29 = -36.0/312455.0*t4+324.0/65.0*t18*t1-7938.0/16445.0*t5*t1-108.0/
873*59599516SKenneth E. Jansen 16445.0*t4*t1-252.0/65.0*t20*t1+81.0/1495.0*t18-756.0/16445.0*t20+378.0/16445.0
874*59599516SKenneth E. Jansen *t15+3.0/325.0*t9+378.0/312455.0*t12-567.0/82225.0*t5-9.0/260.0*t6+6.0/
875*59599516SKenneth E. Jansen 5311735.0*s+27.0/5311735.0*r-t1/312455;
876*59599516SKenneth E. Jansen       f = t24+t29;
877*59599516SKenneth E. Jansen    /* p=14 10 1 */
878*59599516SKenneth E. Jansen    } else if( i==10 && j==1 ) {
879*59599516SKenneth E. Jansen       t1 = r*r;
880*59599516SKenneth E. Jansen       t2 = t1*t1;
881*59599516SKenneth E. Jansen       t3 = t2*t2;
882*59599516SKenneth E. Jansen       t4 = t3*t1;
883*59599516SKenneth E. Jansen       t6 = t3*r;
884*59599516SKenneth E. Jansen       t9 = r*t1;
885*59599516SKenneth E. Jansen       t10 = t2*t9;
886*59599516SKenneth E. Jansen       t12 = t2*t1;
887*59599516SKenneth E. Jansen       t14 = r*t2;
888*59599516SKenneth E. Jansen       t16 = t4*s-t4/13-55.0/13.0*t6*s+22.0/65.0*t6+99.0/13.0*t3*s-33.0/52.0*t3
889*59599516SKenneth E. Jansen -99.0/13.0*t10*s+198.0/299.0*t10+1386.0/299.0*t12*s-126.0/299.0*t12-2646.0/
890*59599516SKenneth E. Jansen 1495.0*t14*s;
891*59599516SKenneth E. Jansen       t21 = 252.0/1495.0*t14+126.0/299.0*t2*s-63.0/1495.0*t2-18.0/299.0*t9*s+
892*59599516SKenneth E. Jansen 36.0/5681.0*t9+27.0/5681.0*t1*s-3.0/5681.0*t1-r*s/5681+2.0/96577.0*r+s/482885
893*59599516SKenneth E. Jansen -1.0/3863080.0;
894*59599516SKenneth E. Jansen       f = t16+t21;
895*59599516SKenneth E. Jansen    /* p=14 11 0 */
896*59599516SKenneth E. Jansen    } else if( i==11 && j==0 ) {
897*59599516SKenneth E. Jansen       t1 = r*r;
898*59599516SKenneth E. Jansen       t2 = r*t1;
899*59599516SKenneth E. Jansen       t3 = t1*t1;
900*59599516SKenneth E. Jansen       t4 = t3*t3;
901*59599516SKenneth E. Jansen       f = t4*t2-66.0/13.0*t4*t1+726.0/65.0*r*t4-363.0/26.0*t4+3267.0/299.0*t3
902*59599516SKenneth E. Jansen *t2-8316.0/1495.0*t3*t1+2772.0/1495.0*t3*r-594.0/1495.0*t3+297.0/5681.0*t2-22.0
903*59599516SKenneth E. Jansen /5681.0*t1+66.0/482885.0*r-3.0/1931540.0;
904*59599516SKenneth E. Jansen    /* p=15 0 12 */
905*59599516SKenneth E. Jansen    } else if( i==0 && j==12 ) {
906*59599516SKenneth E. Jansen       t1 = s*s;
907*59599516SKenneth E. Jansen       t2 = t1*t1;
908*59599516SKenneth E. Jansen       t3 = t2*t2;
909*59599516SKenneth E. Jansen       t5 = t1*s;
910*59599516SKenneth E. Jansen       f = t3*t2-39.0/7.0*t3*t5+286.0/21.0*t3*t1-1210.0/63.0*t3*s+121.0/7.0*t3
911*59599516SKenneth E. Jansen -363.0/35.0*t2*t5+484.0/115.0*t2*t1-132.0/115.0*t2*s+33.0/161.0*t2-11.0/483.0*
912*59599516SKenneth E. Jansen t5+22.0/15295.0*t1-2.0/45885.0*s+1.0/2340135.0;
913*59599516SKenneth E. Jansen    /* p=15 1 11 */
914*59599516SKenneth E. Jansen    } else if( i==1 && j==11 ) {
915*59599516SKenneth E. Jansen       t1 = s*s;
916*59599516SKenneth E. Jansen       t2 = t1*s;
917*59599516SKenneth E. Jansen       t3 = t1*t1;
918*59599516SKenneth E. Jansen       t4 = t3*t3;
919*59599516SKenneth E. Jansen       t5 = t4*t2;
920*59599516SKenneth E. Jansen       t7 = t4*t1;
921*59599516SKenneth E. Jansen       t9 = t4*s;
922*59599516SKenneth E. Jansen       t12 = t3*t2;
923*59599516SKenneth E. Jansen       t14 = t3*t1;
924*59599516SKenneth E. Jansen       t16 = t3*s;
925*59599516SKenneth E. Jansen       t22 = r*t5-33.0/7.0*r*t7+605.0/63.0*r*t9-3025.0/273.0*r*t4+726.0/91.0*r*
926*59599516SKenneth E. Jansen t12-242.0/65.0*r*t14+1694.0/1495.0*r*t16-66.0/299.0*t3*r+55.0/2093.0*r*t2-11.0/
927*59599516SKenneth E. Jansen 6279.0*r*t1+11.0/198835.0*r*s-r/1789515;
928*59599516SKenneth E. Jansen       t23 = -t5/14+22.0/63.0*t7-605.0/819.0*t9+242.0/273.0*t4-121.0/182.0*t12+
929*59599516SKenneth E. Jansen 484.0/1495.0*t14-154.0/1495.0*t16+44.0/2093.0*t3-11.0/4186.0*t2+22.0/119301.0*
930*59599516SKenneth E. Jansen t1-11.0/1789515.0*s+2.0/30421755.0;
931*59599516SKenneth E. Jansen       f = t22+t23;
932*59599516SKenneth E. Jansen    /* p=15 2 10 */
933*59599516SKenneth E. Jansen    } else if( i==2 && j==10 ) {
934*59599516SKenneth E. Jansen       t1 = s*s;
935*59599516SKenneth E. Jansen       t2 = t1*t1;
936*59599516SKenneth E. Jansen       t3 = r*r;
937*59599516SKenneth E. Jansen       t5 = t1*s;
938*59599516SKenneth E. Jansen       t6 = t2*t5;
939*59599516SKenneth E. Jansen       t9 = t2*t2;
940*59599516SKenneth E. Jansen       t13 = t2*s;
941*59599516SKenneth E. Jansen       t15 = t2*t1;
942*59599516SKenneth E. Jansen       t17 = t9*t1;
943*59599516SKenneth E. Jansen       t19 = t9*s;
944*59599516SKenneth E. Jansen       t25 = t2/299-t3*s/12558-550.0/91.0*t3*t6+20.0/2093.0*r*t5+275.0/42.0*t3*
945*59599516SKenneth E. Jansen t9+5.0/2093.0*t3*t1-10.0/299.0*t3*t5-77.0/65.0*t3*t13+44.0/13.0*t3*t15+t3*t17
946*59599516SKenneth E. Jansen -55.0/14.0*t3*t19-275.0/182.0*r*t9-21.0/299.0*r*t2+55.0/63.0*r*t19+462.0/1495.0
947*59599516SKenneth E. Jansen *r*t13+t3/1193010;
948*59599516SKenneth E. Jansen       t32 = -11.0/182.0*t6+3.0/79534.0*t1-3.0/4186.0*r*t1-s/715806-t5/2093-r
949*59599516SKenneth E. Jansen /3579030+11.0/299.0*t15-11.0/13.0*r*t15+r*s/39767+132.0/91.0*r*t6+1.0/
950*59599516SKenneth E. Jansen 60843510.0-3.0/14.0*r*t17+11.0/182.0*t9-55.0/1638.0*t19+t17/126-21.0/1495.0*t13
951*59599516SKenneth E. Jansen +77.0/299.0*t3*t2;
952*59599516SKenneth E. Jansen       f = t25+t32;
953*59599516SKenneth E. Jansen    /* p=15 3 9 */
954*59599516SKenneth E. Jansen    } else if( i==3 && j==9 ) {
955*59599516SKenneth E. Jansen       t1 = r*r;
956*59599516SKenneth E. Jansen       t2 = s*s;
957*59599516SKenneth E. Jansen       t4 = t2*s;
958*59599516SKenneth E. Jansen       t6 = t2*t2;
959*59599516SKenneth E. Jansen       t8 = t6*s;
960*59599516SKenneth E. Jansen       t11 = t1*r;
961*59599516SKenneth E. Jansen       t12 = t6*t2;
962*59599516SKenneth E. Jansen       t15 = t6*t6;
963*59599516SKenneth E. Jansen       t16 = t15*s;
964*59599516SKenneth E. Jansen       t21 = t6*t4;
965*59599516SKenneth E. Jansen       t28 = 48.0/23023.0*t2*t1-84.0/3289.0*t4*t1+252.0/1495.0*t1*t6-42.0/65.0*
966*59599516SKenneth E. Jansen t1*t8+27.0/2187185.0*r*s+2.0/334639305.0-40.0/13.0*t11*t12-21.0/65.0*t11*t6+t11
967*59599516SKenneth E. Jansen *t16-45.0/14.0*t11*t15+3.0/23023.0*t11*s-36.0/115115.0*r*t2-180.0/91.0*t1*t21+
968*59599516SKenneth E. Jansen 12.0/3289.0*r*t4+10.0/7.0*t1*t15-9.0/115115.0*t1*s-r/6561555+8.0/1495.0*t12+
969*59599516SKenneth E. Jansen 14.0/299.0*t11*t4+96.0/65.0*t1*t12;
970*59599516SKenneth E. Jansen       t39 = -3.0/7.0*t1*t16-15.0/91.0*r*t15-378.0/16445.0*r*t6+r*t16/21+126.0/
971*59599516SKenneth E. Jansen 1495.0*r*t8+2.0/2187185.0*t1+108.0/455.0*r*t21+24.0/2187185.0*t2-12.0/3289.0*
972*59599516SKenneth E. Jansen t11*t2-42.0/16445.0*t8+12.0/16445.0*t6-t16/819+2.0/455.0*t15+84.0/65.0*t11*t8-s
973*59599516SKenneth E. Jansen /2187185-2.0/16445.0*t4-t11/690690-12.0/65.0*r*t12-3.0/455.0*t21+30.0/7.0*t11*
974*59599516SKenneth E. Jansen t21;
975*59599516SKenneth E. Jansen       f = t28+t39;
976*59599516SKenneth E. Jansen    /* p=15 4 8 */
977*59599516SKenneth E. Jansen    } else if( i==4 && j==8 ) {
978*59599516SKenneth E. Jansen       t1 = s*s;
979*59599516SKenneth E. Jansen       t2 = t1*t1;
980*59599516SKenneth E. Jansen       t3 = t2*s;
981*59599516SKenneth E. Jansen       t4 = r*r;
982*59599516SKenneth E. Jansen       t5 = r*t4;
983*59599516SKenneth E. Jansen       t6 = t2*t1;
984*59599516SKenneth E. Jansen       t10 = t2*t2;
985*59599516SKenneth E. Jansen       t14 = t1*s;
986*59599516SKenneth E. Jansen       t17 = 4.0/937365.0*t1+2.0/9867.0*t2-28.0/49335.0*t3-80.0/39.0*t5*t6+224.0
987*59599516SKenneth E. Jansen /195.0*t5*t3-14.0/39.0*t5*t2-5.0/7.0*t5*t10+16.0/69069.0*t5*s-56.0/9867.0*t5*t1
988*59599516SKenneth E. Jansen +56.0/897.0*t5*t14-8.0/49335.0*t1*r;
989*59599516SKenneth E. Jansen       t18 = t2*t14;
990*59599516SKenneth E. Jansen       t20 = t4*t4;
991*59599516SKenneth E. Jansen       t31 = 40.0/21.0*t5*t18-14.0/195.0*t20*t14+16.0/455.0*r*t18-40.0/91.0*t4*
992*59599516SKenneth E. Jansen t18-8.0/115115.0*t4*s+16.0/9867.0*t4*t1-56.0/195.0*t4*t3+32.0/65.0*t6*t4-10.0/
993*59599516SKenneth E. Jansen 819.0*r*t10+28.0/65.0*t20*t2-4.0/16445.0*t20*s;
994*59599516SKenneth E. Jansen       t37 = 112.0/4485.0*t3*r-56.0/39.0*t20*t3-t5/345345-t18/1365-18.0/7.0*t20*
995*59599516SKenneth E. Jansen t18+t20/345345+t10/4095+16.0/2187185.0*r*s-2.0/49335.0*t14+4.0/4485.0*t6-4.0/
996*59599516SKenneth E. Jansen 19684665.0*s;
997*59599516SKenneth E. Jansen       t47 = -8.0/195.0*r*t6-2.0/19684665.0*r+t20*t10+1.0/334639305.0+28.0/
998*59599516SKenneth E. Jansen 4485.0*t20*t1+8.0/3.0*t20*t6-28.0/3289.0*r*t2+28.0/299.0*t4*t2-56.0/3289.0*t4*
999*59599516SKenneth E. Jansen t14+10.0/63.0*t4*t10+16.0/9867.0*r*t14+2.0/2187185.0*t4;
1000*59599516SKenneth E. Jansen       f = t17+t31+t37+t47;
1001*59599516SKenneth E. Jansen    /* p=15 5 7 */
1002*59599516SKenneth E. Jansen    } else if( i==5 && j==7 ) {
1003*59599516SKenneth E. Jansen       t1 = s*s;
1004*59599516SKenneth E. Jansen       t2 = t1*t1;
1005*59599516SKenneth E. Jansen       t3 = t2*t1;
1006*59599516SKenneth E. Jansen       t6 = r*r;
1007*59599516SKenneth E. Jansen       t7 = t6*t6;
1008*59599516SKenneth E. Jansen       t8 = t7*r;
1009*59599516SKenneth E. Jansen       t9 = t2*s;
1010*59599516SKenneth E. Jansen       t11 = t1*s;
1011*59599516SKenneth E. Jansen       t12 = t11*t2;
1012*59599516SKenneth E. Jansen       t14 = t6*r;
1013*59599516SKenneth E. Jansen       t22 = 2.0/1003917915.0-t3*r/117+r*s/187473+14.0/9.0*t8*t9-15.0/14.0*t7*
1014*59599516SKenneth E. Jansen t12-100.0/117.0*t14*t3+28.0/39.0*t14*t9+10.0/29601.0*t14*s-70.0/9867.0*t14*t1+
1015*59599516SKenneth E. Jansen 175.0/2691.0*t14*t11-r*t1/9867+25.0/63.0*t14*t12;
1016*59599516SKenneth E. Jansen       t33 = -35.0/234.0*t7*t11+r*t12/273-50.0/819.0*t6*t12-2.0/29601.0*t6*s+
1017*59599516SKenneth E. Jansen 40.0/29601.0*t1*t6-2.0*t8*t3-350.0/29601.0*t11*t6+16.0/117.0*t6*t3+28.0/39.0*t7
1018*59599516SKenneth E. Jansen *t2-35.0/9867.0*r*t2-t8/148005-7.0/49335.0*t9;
1019*59599516SKenneth E. Jansen       t38 = -t11/59202-s/8436285-r/11810799+2.0/13455.0*t3+140.0/2691.0*t6*t2+
1020*59599516SKenneth E. Jansen 25.0/29601.0*r*t11+4.0/3936933.0*t6+2.0/937365.0*t1+2.0/29601.0*t2-35.0/117.0*
1021*59599516SKenneth E. Jansen t2*t14+2.0/207207.0*t7-t12/16380;
1022*59599516SKenneth E. Jansen       t50 = -t14/207207+7.0/13455.0*t8*s+t8*t12+14.0/897.0*t7*t1-7.0/585.0*t1*
1023*59599516SKenneth E. Jansen t8+20.0/9.0*t7*t3-70.0/117.0*t8*t2+14.0/117.0*t11*t8-7.0/9867.0*t7*s+7.0/897.0*
1024*59599516SKenneth E. Jansen r*t9-14.0/117.0*t6*t9-70.0/39.0*t7*t9;
1025*59599516SKenneth E. Jansen       f = t22+t33+t38+t50;
1026*59599516SKenneth E. Jansen    /* p=15 6 6 */
1027*59599516SKenneth E. Jansen    } else if( i==6 && j==6 ) {
1028*59599516SKenneth E. Jansen       t1 = r*r;
1029*59599516SKenneth E. Jansen       t2 = r*t1;
1030*59599516SKenneth E. Jansen       t3 = s*s;
1031*59599516SKenneth E. Jansen       t4 = t3*t3;
1032*59599516SKenneth E. Jansen       t5 = t4*t3;
1033*59599516SKenneth E. Jansen       t7 = t4*s;
1034*59599516SKenneth E. Jansen       t10 = t3*s;
1035*59599516SKenneth E. Jansen       t12 = t1*t1;
1036*59599516SKenneth E. Jansen       t14 = t12*t1;
1037*59599516SKenneth E. Jansen       t19 = r*t12;
1038*59599516SKenneth E. Jansen       t21 = -25.0/117.0*t2*t5+14.0/39.0*t7*t2-35.0/156.0*t4*t2+1.0/573667380.0
1039*59599516SKenneth E. Jansen -175.0/19734.0*t1*t10+t1/749892-35.0/156.0*t12*t10-t14*s/780+5.0/9867.0*r*t10-
1040*59599516SKenneth E. Jansen t1*s/13156+25.0/19734.0*t3*t1-3.0/2.0*t19*t5;
1041*59599516SKenneth E. Jansen       t34 = 35.0/1196.0*t4*t1-7.0/156.0*t7*t1+t1*t5/39+21.0/26.0*t12*t4-21.0/
1042*59599516SKenneth E. Jansen 13156.0*r*t4-21.0/13156.0*t12*s+7.0/2990.0*t7*r-35.0/26.0*t7*t12-7.0/156.0*t19*
1043*59599516SKenneth E. Jansen t3+14.0/39.0*t19*t10+t14*t5+t14*t3/39;
1044*59599516SKenneth E. Jansen       t42 = 5.0/9867.0*t2*s-175.0/19734.0*t3*t2+175.0/2691.0*t2*t10-t3*r/13156+
1045*59599516SKenneth E. Jansen t3/749892-t2/118404+t12/39468-3.0/2.0*t14*t7-7.0/197340.0*t19-7.0/197340.0*t7+
1046*59599516SKenneth E. Jansen 3.0/624910.0*r*s-t10/118404;
1047*59599516SKenneth E. Jansen       t51 = 7.0/3.0*t19*t7+t4/39468+t14/53820-r*t5/780-s/11248380+t5/53820-r
1048*59599516SKenneth E. Jansen /11248380+5.0/6.0*t14*t4+35.0/1196.0*t12*t3-25.0/117.0*t14*t10+5.0/6.0*t12*t5
1049*59599516SKenneth E. Jansen -35.0/26.0*t19*t4+7.0/2990.0*t19*s;
1050*59599516SKenneth E. Jansen       f = t21+t34+t42+t51;
1051*59599516SKenneth E. Jansen    /* p=15 7 5 */
1052*59599516SKenneth E. Jansen    } else if( i==7 && j==5 ) {
1053*59599516SKenneth E. Jansen       t1 = r*r;
1054*59599516SKenneth E. Jansen       t2 = t1*t1;
1055*59599516SKenneth E. Jansen       t3 = t2*t1;
1056*59599516SKenneth E. Jansen       t4 = s*s;
1057*59599516SKenneth E. Jansen       t5 = t4*t4;
1058*59599516SKenneth E. Jansen       t7 = t1*r;
1059*59599516SKenneth E. Jansen       t8 = t7*t2;
1060*59599516SKenneth E. Jansen       t11 = t5*s;
1061*59599516SKenneth E. Jansen       t13 = t4*s;
1062*59599516SKenneth E. Jansen       t14 = t2*r;
1063*59599516SKenneth E. Jansen       t20 = 20.0/9.0*t3*t5+2.0/1003917915.0-50.0/819.0*t8*t4+t8*s/273+t11*t8-
1064*59599516SKenneth E. Jansen t13/207207-7.0/49335.0*t14+r*s/187473+14.0/9.0*t14*t11-2.0*t3*t11+14.0/117.0*t7
1065*59599516SKenneth E. Jansen *t11-35.0/234.0*t7*t5;
1066*59599516SKenneth E. Jansen       t33 = 16.0/117.0*t4*t3+25.0/29601.0*t7*s-350.0/29601.0*t7*t4+175.0/2691.0
1067*59599516SKenneth E. Jansen *t7*t13-2.0/29601.0*r*t4-35.0/117.0*t2*t13+25.0/63.0*t8*t13+10.0/29601.0*r*t13-
1068*59599516SKenneth E. Jansen t1*s/9867+40.0/29601.0*t4*t1-70.0/9867.0*t1*t13+14.0/897.0*t1*t5;
1069*59599516SKenneth E. Jansen       t47 = -7.0/585.0*t1*t11+28.0/39.0*t2*t5-7.0/9867.0*r*t5-35.0/9867.0*t2*s+
1070*59599516SKenneth E. Jansen 7.0/13455.0*r*t11-70.0/117.0*t2*t11-14.0/117.0*t14*t4+28.0/39.0*t14*t13-100.0/
1071*59599516SKenneth E. Jansen 117.0*t3*t13-15.0/14.0*t8*t5-70.0/39.0*t14*t5+140.0/2691.0*t4*t2;
1072*59599516SKenneth E. Jansen       t50 = 7.0/897.0*t14*s+2.0/13455.0*t3+2.0/207207.0*t5+4.0/3936933.0*t4-s
1073*59599516SKenneth E. Jansen /11810799-t11/148005-t8/16380-r/8436285+2.0/29601.0*t2-t7/59202+2.0/937365.0*t1
1074*59599516SKenneth E. Jansen -t3*s/117;
1075*59599516SKenneth E. Jansen       f = t20+t33+t47+t50;
1076*59599516SKenneth E. Jansen    /* p=15 8 4 */
1077*59599516SKenneth E. Jansen    } else if( i==8 && j==4 ) {
1078*59599516SKenneth E. Jansen       t1 = r*r;
1079*59599516SKenneth E. Jansen       t2 = t1*t1;
1080*59599516SKenneth E. Jansen       t3 = t2*t2;
1081*59599516SKenneth E. Jansen       t4 = s*s;
1082*59599516SKenneth E. Jansen       t5 = t4*s;
1083*59599516SKenneth E. Jansen       t7 = t1*r;
1084*59599516SKenneth E. Jansen       t9 = t4*t4;
1085*59599516SKenneth E. Jansen       t10 = t2*t1;
1086*59599516SKenneth E. Jansen       t12 = t7*t2;
1087*59599516SKenneth E. Jansen       t13 = 1.0/334639305.0-5.0/7.0*t3*t5-2.0/49335.0*t7+2.0/9867.0*t2+16.0/
1088*59599516SKenneth E. Jansen 2187185.0*r*s+t3/4095-t5/345345+t9/345345+8.0/3.0*t10*t9-t12/1365+4.0/4485.0*
1089*59599516SKenneth E. Jansen t10;
1090*59599516SKenneth E. Jansen       t22 = -10.0/819.0*t3*s-2.0/19684665.0*s-4.0/19684665.0*r+2.0/2187185.0*t4
1091*59599516SKenneth E. Jansen -40.0/91.0*t12*t4+16.0/455.0*t12*s+10.0/63.0*t4*t3-14.0/195.0*t7*t9+32.0/65.0*
1092*59599516SKenneth E. Jansen t10*t4+16.0/9867.0*t7*s-56.0/3289.0*t7*t4;
1093*59599516SKenneth E. Jansen       t27 = t2*r;
1094*59599516SKenneth E. Jansen       t34 = -8.0/115115.0*r*t4-14.0/39.0*t2*t5+28.0/299.0*t4*t2-56.0/195.0*t27*
1095*59599516SKenneth E. Jansen t4-28.0/49335.0*t27+224.0/195.0*t27*t5-28.0/3289.0*t2*s+28.0/4485.0*t1*t9+4.0/
1096*59599516SKenneth E. Jansen 937365.0*t1-8.0/195.0*t10*s+40.0/21.0*t12*t5;
1097*59599516SKenneth E. Jansen       t47 = 16.0/69069.0*r*t5-8.0/49335.0*t1*s+16.0/9867.0*t4*t1-56.0/9867.0*t1
1098*59599516SKenneth E. Jansen *t5+28.0/65.0*t2*t9-4.0/16445.0*r*t9-80.0/39.0*t10*t5-18.0/7.0*t12*t9-56.0/39.0
1099*59599516SKenneth E. Jansen *t27*t9+112.0/4485.0*t27*s+t3*t9+56.0/897.0*t7*t5;
1100*59599516SKenneth E. Jansen       f = t13+t22+t34+t47;
1101*59599516SKenneth E. Jansen    /* p=15 9 3 */
1102*59599516SKenneth E. Jansen    } else if( i==9 && j==3 ) {
1103*59599516SKenneth E. Jansen       t1 = s*s;
1104*59599516SKenneth E. Jansen       t3 = r*r;
1105*59599516SKenneth E. Jansen       t4 = t3*t3;
1106*59599516SKenneth E. Jansen       t6 = t4*t3;
1107*59599516SKenneth E. Jansen       t9 = t3*r;
1108*59599516SKenneth E. Jansen       t10 = t4*t9;
1109*59599516SKenneth E. Jansen       t12 = t4*t4;
1110*59599516SKenneth E. Jansen       t16 = t12*r;
1111*59599516SKenneth E. Jansen       t17 = t1*s;
1112*59599516SKenneth E. Jansen       t27 = r*t4;
1113*59599516SKenneth E. Jansen       t30 = -9.0/115115.0*r*t1+252.0/1495.0*t4*t1+96.0/65.0*t6*t1-12.0/65.0*t6*
1114*59599516SKenneth E. Jansen s+2.0/334639305.0+108.0/455.0*t10*s-15.0/91.0*t12*s+27.0/2187185.0*r*s+10.0/7.0
1115*59599516SKenneth E. Jansen *t12*t1+t16*t17+12.0/3289.0*t9*s-84.0/3289.0*t1*t9+14.0/299.0*t9*t17-21.0/65.0*
1116*59599516SKenneth E. Jansen t4*t17+30.0/7.0*t10*t17+3.0/23023.0*r*t17-12.0/3289.0*t3*t17-378.0/16445.0*t4*s
1117*59599516SKenneth E. Jansen -42.0/65.0*t27*t1+84.0/65.0*t27*t17;
1118*59599516SKenneth E. Jansen       t39 = -40.0/13.0*t6*t17+t16*s/21-3.0/7.0*t16*t1+126.0/1495.0*t27*s+8.0/
1119*59599516SKenneth E. Jansen 1495.0*t6+12.0/16445.0*t4-2.0/16445.0*t9-t16/819-s/6561555+2.0/455.0*t12-t17
1120*59599516SKenneth E. Jansen /690690-180.0/91.0*t10*t1+2.0/2187185.0*t1-3.0/455.0*t10-r/2187185-42.0/16445.0
1121*59599516SKenneth E. Jansen *t27+48.0/23023.0*t3*t1+24.0/2187185.0*t3-36.0/115115.0*t3*s-45.0/14.0*t12*t17;
1122*59599516SKenneth E. Jansen       f = t30+t39;
1123*59599516SKenneth E. Jansen    /* p=15 10 2 */
1124*59599516SKenneth E. Jansen    } else if( i==10 && j==2 ) {
1125*59599516SKenneth E. Jansen       t1 = r*r;
1126*59599516SKenneth E. Jansen       t2 = t1*t1;
1127*59599516SKenneth E. Jansen       t3 = t2*t2;
1128*59599516SKenneth E. Jansen       t4 = t3*r;
1129*59599516SKenneth E. Jansen       t5 = t3*t1;
1130*59599516SKenneth E. Jansen       t6 = s*s;
1131*59599516SKenneth E. Jansen       t8 = t2*t1;
1132*59599516SKenneth E. Jansen       t10 = r*t1;
1133*59599516SKenneth E. Jansen       t11 = t2*t10;
1134*59599516SKenneth E. Jansen       t15 = 1.0/60843510.0-55.0/1638.0*t4+t5*t6+44.0/13.0*t8*t6-t10/2093+11.0/
1135*59599516SKenneth E. Jansen 299.0*t8+t2/299+t5/126+11.0/182.0*t3-s/3579030-550.0/91.0*t11*t6-11.0/182.0*t11
1136*59599516SKenneth E. Jansen -r/715806+t6/1193010+132.0/91.0*t11*s+r*s/39767;
1137*59599516SKenneth E. Jansen       t18 = t2*r;
1138*59599516SKenneth E. Jansen       t32 = 275.0/42.0*t3*t6-3.0/14.0*t5*s-77.0/65.0*t18*t6-55.0/14.0*t4*t6+
1139*59599516SKenneth E. Jansen 77.0/299.0*t2*t6+462.0/1495.0*t18*s+55.0/63.0*t4*s-21.0/1495.0*t18+3.0/79534.0*
1140*59599516SKenneth E. Jansen t1-3.0/4186.0*t1*s+20.0/2093.0*t10*s-10.0/299.0*t10*t6-r*t6/12558-11.0/13.0*t8*
1141*59599516SKenneth E. Jansen s+5.0/2093.0*t6*t1-21.0/299.0*t2*s-275.0/182.0*t3*s;
1142*59599516SKenneth E. Jansen       f = t15+t32;
1143*59599516SKenneth E. Jansen    /* p=15 11 1 */
1144*59599516SKenneth E. Jansen    } else if( i==11 && j==1 ) {
1145*59599516SKenneth E. Jansen       t1 = r*r;
1146*59599516SKenneth E. Jansen       t2 = r*t1;
1147*59599516SKenneth E. Jansen       t3 = t1*t1;
1148*59599516SKenneth E. Jansen       t4 = t3*t3;
1149*59599516SKenneth E. Jansen       t5 = t4*t2;
1150*59599516SKenneth E. Jansen       t7 = t4*t1;
1151*59599516SKenneth E. Jansen       t9 = r*t4;
1152*59599516SKenneth E. Jansen       t12 = t3*t2;
1153*59599516SKenneth E. Jansen       t14 = t3*t1;
1154*59599516SKenneth E. Jansen       t16 = t5*s-t5/14-33.0/7.0*t7*s+22.0/63.0*t7+605.0/63.0*t9*s-605.0/819.0*
1155*59599516SKenneth E. Jansen t9-3025.0/273.0*t4*s+242.0/273.0*t4+726.0/91.0*t12*s-121.0/182.0*t12-242.0/65.0
1156*59599516SKenneth E. Jansen *t14*s+484.0/1495.0*t14;
1157*59599516SKenneth E. Jansen       t17 = t3*r;
1158*59599516SKenneth E. Jansen       t23 = 1694.0/1495.0*t17*s-154.0/1495.0*t17-66.0/299.0*t3*s+44.0/2093.0*t3
1159*59599516SKenneth E. Jansen +55.0/2093.0*t2*s-11.0/4186.0*t2-11.0/6279.0*t1*s+22.0/119301.0*t1+11.0/
1160*59599516SKenneth E. Jansen 198835.0*r*s-11.0/1789515.0*r-s/1789515+2.0/30421755.0;
1161*59599516SKenneth E. Jansen       f = t16+t23;
1162*59599516SKenneth E. Jansen    /* p=15 12 0 */
1163*59599516SKenneth E. Jansen    } else if( i==12 && j==0 ) {
1164*59599516SKenneth E. Jansen       t1 = r*r;
1165*59599516SKenneth E. Jansen       t2 = t1*t1;
1166*59599516SKenneth E. Jansen       t3 = t2*t2;
1167*59599516SKenneth E. Jansen       t5 = r*t1;
1168*59599516SKenneth E. Jansen       f = t3*t2-39.0/7.0*t3*t5+286.0/21.0*t3*t1-1210.0/63.0*t3*r+121.0/7.0*t3
1169*59599516SKenneth E. Jansen -363.0/35.0*t2*t5+484.0/115.0*t2*t1-132.0/115.0*t2*r+33.0/161.0*t2-11.0/483.0*
1170*59599516SKenneth E. Jansen t5+22.0/15295.0*t1-2.0/45885.0*r+1.0/2340135.0;
1171*59599516SKenneth E. Jansen     }
1172*59599516SKenneth E. Jansen     return f;
1173*59599516SKenneth E. Jansen }
1174*59599516SKenneth E. Jansen #ifdef __cplusplus
1175*59599516SKenneth E. Jansen }
1176*59599516SKenneth E. Jansen #endif
1177