/*------------------------------------------------------------------------- Scientific Computation Research Center, RPI, Troy NY (C) Copyright 1995, RPI-SCOREC Project : shapeFuntions Author(s): Saikat Dey Creation : Oct., 95 Modifi. : Function : mode shape for a simplex edge of order ip, Maple generated. -------------------------------------------------------------------------*/ #ifdef __cplusplus extern "C" { #endif double En(int ip, double r, double s) { double f = 0.0; double t1,t2,t3,t4,t5,t6,t7,t8,t9,t10,t11,t12,t13,t14,t15,t16,t17,t18; double t19,t20,t21,t22,t23,t24,t25,t26,t27,t28; /* p=2 */ if( ip==0 ) { f = 1.0; /* p=3 */ } else if( ip==1 ) { f = s-r; /* p=4 */ } else if( ip==2 ) { t1 = s*s; t3 = r*r; f = t1-3.0*r*s+t3; /* p=5 */ } else if( ip==3 ) { t1 = s*s; t4 = r*r; f = t1*s-6.0*r*t1+6.0*t4*s-t4*r; /* p=6 */ } else if( ip==4 ) { t1 = s*s; t2 = t1*t1; t5 = r*r; t9 = t5*t5; f = t2-10.0*r*t1*s+20.0*t5*t1-10.0*t5*r*s+t9; /* p=7 */ } else if( ip==5 ) { t1 = s*s; t2 = t1*t1; t5 = r*r; t10 = t5*t5; f = t2*s-15.0*t2*r+50.0*t5*t1*s-50.0*t5*r*t1+15.0*t10*s-t10*r; /* p=8 */ } else if( ip==6 ) { t1 = s*s; t2 = t1*t1; t6 = r*r; t11 = t6*t6; f = t2*t1-21.0*r*t2*s+105.0*t6*t2-175.0*t6*r*t1*s+105.0*t11*t1-21.0*t11 *r*s+t11*t6; /* p=9 */ } else if( ip==7 ) { t1 = s*s; t2 = t1*s; t3 = t1*t1; t7 = r*r; t10 = t7*r; t12 = t7*t7; f = t3*t2-28.0*r*t3*t1+196.0*t7*t3*s-490.0*t10*t3+490.0*t12*t2-196.0* t12*r*t1+28.0*t12*t7*s-t12*t10; /* p=10 */ } else if( ip==8 ) { t1 = s*s; t2 = t1*t1; t3 = t2*t2; t4 = t1*s; t7 = r*r; t10 = t7*r; t13 = t7*t7; t21 = t13*t13; f = t3-36.0*r*t2*t4+336.0*t7*t2*t1-1176.0*t10*t2*s+1764.0*t13*t2-1176.0 *t13*r*t4+336.0*t13*t7*t1-36.0*t13*t10*s+t21; /* p=11 */ } else if( ip==9 ) { t1 = s*s; t2 = t1*t1; t3 = t2*t2; t6 = r*r; t7 = t1*s; t10 = t6*r; t13 = t6*t6; t22 = t13*t13; f = t3*s-45.0*t3*r+540.0*t6*t2*t7-2520.0*t10*t2*t1+5292.0*t13*t2*s -5292.0*t13*r*t2+2520.0*t13*t6*t7-540.0*t13*t10*t1+45.0*t22*s-t22*r; /* p=12 */ } else if( ip==10 ) { t1 = s*s; t2 = t1*t1; t3 = t2*t2; t7 = r*r; t9 = t7*r; t10 = t1*s; t13 = t7*t7; t23 = t13*t13; f = t3*t1-55.0*r*t3*s+825.0*t7*t3-4950.0*t9*t2*t10+13860.0*t13*t2*t1 -19404.0*t13*r*t2*s+13860.0*t13*t7*t2-4950.0*t13*t9*t10+825.0*t23*t1-55.0*t23*r *s+t23*t7; /* p=13 */ } else if( ip==11 ) { t1 = s*s; t2 = t1*s; t3 = t1*t1; t4 = t3*t3; t8 = r*r; t11 = t8*r; t13 = t8*t8; t24 = t13*t13; f = t2*t4-66.0*r*t4*t1+1210.0*t8*t4*s-9075.0*t11*t4+32670.0*t13*t3*t2 -60984.0*t13*r*t3*t1+60984.0*t13*t8*t3*s-32670.0*t13*t11*t3+9075.0*t24*t2 -1210.0*t24*r*t1+66.0*t24*t8*s-t24*t11; /* p=14 */ } else if( ip==12 ) { t1 = s*s; t2 = t1*t1; t3 = t2*t2; t5 = t1*s; t8 = r*r; t11 = t8*r; t14 = t8*t8; t25 = t14*t14; f = t3*t2-78.0*r*t3*t5+1716.0*t8*t3*t1-15730.0*t11*t3*s+70785.0*t14*t3 -169884.0*t14*r*t2*t5+226512.0*t14*t8*t2*t1-169884.0*t14*t11*t2*s+70785.0*t25* t2-15730.0*t25*r*t5+1716.0*t25*t8*t1-78.0*t25*t11*s+t25*t14; /* p=15 */ } else if( ip==13 ) { t1 = s*s; t2 = t1*t1; t3 = t2*s; t4 = t2*t2; t8 = r*r; t9 = t1*s; t12 = t8*r; t15 = t8*t8; t18 = t15*r; t26 = t15*t15; f = t4*t3-91.0*r*t2*t4+2366.0*t8*t4*t9-26026.0*t12*t4*t1+143143.0*t15* t4*s-429429.0*t18*t4+736164.0*t15*t8*t2*t9-736164.0*t15*t12*t2*t1+429429.0*t26* t3-143143.0*t26*r*t2+26026.0*t26*t8*t9-2366.0*t26*t12*t1+91.0*t26*t15*s-t26*t18 ; } return f ; } #ifdef __cplusplus } #endif