int main021(){
Solution021 so;
ListNode l11(10);
ListNode l12(12);
ListNode l13(12);
ListNode l21(5);
ListNode l22(12);
ListNode l23(13);
l11.next = &l12;
l12.next = &l13;
l21.next = &l22;
l22.next = &l23;
ListNode* result = so.mergeTwoLists(&l11, &l21);
displayListNode<int>(result);
pause;
return 0;
}
bool test(bool is_kernel_exact = true)
{
// types
typedef typename K::FT FT;
typedef typename K::Line_3 Line;
typedef typename K::Point_3 Point;
typedef typename K::Segment_3 Segment;
typedef typename K::Ray_3 Ray;
typedef typename K::Line_3 Line;
typedef typename K::Triangle_3 Triangle;
/* -------------------------------------
// Test data is something like that (in t supporting plane)
// Triangle is (p1,p2,p3)
//
// +E +1
// / \
// +C 6+ +8 +4 +B
// / 9++7 \
// 3+-------+5--+2
//
// +F +A
------------------------------------- */
Point p1(FT(1.), FT(0.), FT(0.));
Point p2(FT(0.), FT(1.), FT(0.));
Point p3(FT(0.), FT(0.), FT(1.));
Triangle t(p1,p2,p3);
// Edges of t
Segment s12(p1,p2);
Segment s21(p2,p1);
Segment s13(p1,p3);
Segment s23(p2,p3);
Segment s32(p3,p2);
Segment s31(p3,p1);
bool b = test_aux(is_kernel_exact,t,s12,"t-s12",s12);
b &= test_aux(is_kernel_exact,t,s21,"t-s21",s21);
b &= test_aux(is_kernel_exact,t,s13,"t-s13",s13);
b &= test_aux(is_kernel_exact,t,s23,"t-s23",s23);
// Inside points
Point p4(FT(0.5), FT(0.5), FT(0.));
Point p5(FT(0.), FT(0.75), FT(0.25));
Point p6(FT(0.5), FT(0.), FT(0.5));
Point p7(FT(0.25), FT(0.625), FT(0.125));
Point p8(FT(0.5), FT(0.25), FT(0.25));
Segment s14(p1,p4);
Segment s41(p4,p1);
Segment s24(p2,p4);
Segment s42(p4,p2);
Segment s15(p1,p5);
Segment s25(p2,p5);
Segment s34(p3,p4);
Segment s35(p3,p5);
Segment s36(p3,p6);
Segment s45(p4,p5);
Segment s16(p1,p6);
Segment s26(p2,p6);
Segment s62(p6,p2);
Segment s46(p4,p6);
Segment s48(p4,p8);
Segment s56(p5,p6);
Segment s65(p6,p5);
Segment s64(p6,p4);
Segment s17(p1,p7);
Segment s67(p6,p7);
Segment s68(p6,p8);
Segment s86(p8,p6);
Segment s78(p7,p8);
Segment s87(p8,p7);
b &= test_aux(is_kernel_exact,t,s14,"t-s14",s14);
b &= test_aux(is_kernel_exact,t,s41,"t-s41",s41);
b &= test_aux(is_kernel_exact,t,s24,"t-s24",s24);
b &= test_aux(is_kernel_exact,t,s42,"t-s42",s42);
b &= test_aux(is_kernel_exact,t,s15,"t-s15",s15);
b &= test_aux(is_kernel_exact,t,s25,"t-s25",s25);
b &= test_aux(is_kernel_exact,t,s34,"t-s34",s34);
b &= test_aux(is_kernel_exact,t,s35,"t-s35",s35);
b &= test_aux(is_kernel_exact,t,s36,"t-s36",s36);
b &= test_aux(is_kernel_exact,t,s45,"t-s45",s45);
b &= test_aux(is_kernel_exact,t,s16,"t-s16",s16);
b &= test_aux(is_kernel_exact,t,s26,"t-s26",s26);
b &= test_aux(is_kernel_exact,t,s62,"t-s62",s62);
b &= test_aux(is_kernel_exact,t,s46,"t-s46",s46);
b &= test_aux(is_kernel_exact,t,s65,"t-s65",s65);
b &= test_aux(is_kernel_exact,t,s64,"t-s64",s64);
b &= test_aux(is_kernel_exact,t,s48,"t-s48",s48);
b &= test_aux(is_kernel_exact,t,s56,"t-s56",s56);
b &= test_aux(is_kernel_exact,t,s17,"t-t17",s17);
b &= test_aux(is_kernel_exact,t,s67,"t-t67",s67);
b &= test_aux(is_kernel_exact,t,s68,"t-s68",s68);
b &= test_aux(is_kernel_exact,t,s86,"t-s86",s86);
b &= test_aux(is_kernel_exact,t,s78,"t-t78",s78);
b &= test_aux(is_kernel_exact,t,s87,"t-t87",s87);
// Outside points (in triangle plane)
Point pA(FT(-0.5), FT(1.), FT(0.5));
Point pB(FT(0.5), FT(1.), FT(-0.5));
Point pC(FT(0.5), FT(-0.5), FT(1.));
Point pE(FT(1.), FT(-1.), FT(1.));
Point pF(FT(-1.), FT(0.), FT(2.));
Segment sAB(pA,pB);
Segment sBC(pB,pC);
Segment s2E(p2,pE);
Segment sE2(pE,p2);
Segment s2A(p2,pA);
Segment s6E(p6,pE);
Segment sB8(pB,p8);
Segment sC8(pC,p8);
Segment s8C(p8,pC);
Segment s1F(p1,pF);
Segment sF6(pF,p6);
b &= test_aux(is_kernel_exact,t,sAB,"t-sAB",p2);
b &= test_aux(is_kernel_exact,t,sBC,"t-sBC",s46);
b &= test_aux(is_kernel_exact,t,s2E,"t-s2E",s26);
b &= test_aux(is_kernel_exact,t,sE2,"t-sE2",s62);
b &= test_aux(is_kernel_exact,t,s2A,"t-s2A",p2);
b &= test_aux(is_kernel_exact,t,s6E,"t-s6E",p6);
b &= test_aux(is_kernel_exact,t,sB8,"t-sB8",s48);
b &= test_aux(is_kernel_exact,t,sC8,"t-sC8",s68);
b &= test_aux(is_kernel_exact,t,s8C,"t-s8C",s86);
b &= test_aux(is_kernel_exact,t,s1F,"t-s1F",s13);
b &= test_aux(is_kernel_exact,t,sF6,"t-sF6",s36);
// Outside triangle plane
Point pa(FT(0.), FT(0.), FT(0.));
Point pb(FT(2.), FT(0.), FT(0.));
Point pc(FT(1.), FT(0.), FT(1.));
Point pe(FT(1.), FT(0.5), FT(0.5));
Segment sab(pa,pb);
Segment sac(pa,pc);
Segment sae(pa,pe);
Segment sa8(pa,p8);
Segment sb2(pb,p2);
b &= test_aux(is_kernel_exact,t,sab,"t-sab",p1);
b &= test_aux(is_kernel_exact,t,sac,"t-sac",p6);
b &= test_aux(is_kernel_exact,t,sae,"t-sae",p8);
b &= test_aux(is_kernel_exact,t,sa8,"t-sa8",p8);
b &= test_aux(is_kernel_exact,t,sb2,"t-sb2",p2);
// -----------------------------------
// ray queries
// -----------------------------------
// Edges of t
Ray r12(p1,p2);
Ray r21(p2,p1);
Ray r13(p1,p3);
Ray r23(p2,p3);
b &= test_aux(is_kernel_exact,t,r12,"t-r12",s12);
b &= test_aux(is_kernel_exact,t,r21,"t-r21",s21);
b &= test_aux(is_kernel_exact,t,r13,"t-r13",s13);
b &= test_aux(is_kernel_exact,t,r23,"t-r23",s23);
// In triangle
Point p9_(FT(0.), FT(0.5), FT(0.5));
Point p9(FT(0.25), FT(0.375), FT(0.375));
Ray r14(p1,p4);
Ray r41(p4,p1);
Ray r24(p2,p4);
Ray r42(p4,p2);
Ray r15(p1,p5);
Ray r25(p2,p5);
Ray r34(p3,p4);
Ray r35(p3,p5);
Ray r36(p3,p6);
Ray r45(p4,p5);
Ray r16(p1,p6);
Ray r26(p2,p6);
Ray r62(p6,p2);
Ray r46(p4,p6);
Ray r48(p4,p8);
Ray r56(p5,p6);
Ray r47(p4,p7);
Ray r89(p8,p9);
Ray r86(p8,p6);
Ray r68(p6,p8);
Segment r89_res(p8,p9_);
b &= test_aux(is_kernel_exact,t,r14,"t-r14",s12);
b &= test_aux(is_kernel_exact,t,r41,"t-r41",s41);
b &= test_aux(is_kernel_exact,t,r24,"t-r24",s21);
b &= test_aux(is_kernel_exact,t,r42,"t-r42",s42);
b &= test_aux(is_kernel_exact,t,r15,"t-r15",s15);
b &= test_aux(is_kernel_exact,t,r25,"t-r25",s23);
b &= test_aux(is_kernel_exact,t,r34,"t-r34",s34);
b &= test_aux(is_kernel_exact,t,r35,"t-r35",s32);
b &= test_aux(is_kernel_exact,t,r36,"t-r36",s31);
b &= test_aux(is_kernel_exact,t,r45,"t-r45",s45);
b &= test_aux(is_kernel_exact,t,r16,"t-r16",s13);
b &= test_aux(is_kernel_exact,t,r26,"t-r26",s26);
b &= test_aux(is_kernel_exact,t,r62,"t-r62",s62);
b &= test_aux(is_kernel_exact,t,r46,"t-r46",s46);
b &= test_aux(is_kernel_exact,t,r48,"t-r48",s46);
b &= test_aux(is_kernel_exact,t,r56,"t-r56",s56);
b &= test_aux(is_kernel_exact,t,r47,"t-r47",s45);
b &= test_aux(is_kernel_exact,t,r89,"t-t89",r89_res);
b &= test_aux(is_kernel_exact,t,r68,"t-r68",s64);
b &= test_aux(is_kernel_exact,t,r86,"t-r86",s86);
// Outside points (in triangre prane)
Ray rAB(pA,pB);
Ray rBC(pB,pC);
Ray r2E(p2,pE);
Ray rE2(pE,p2);
Ray r2A(p2,pA);
Ray r6E(p6,pE);
Ray rB8(pB,p8);
Ray rC8(pC,p8);
Ray r8C(p8,pC);
Ray r1F(p1,pF);
Ray rF6(pF,p6);
b &= test_aux(is_kernel_exact,t,rAB,"t-rAB",p2);
b &= test_aux(is_kernel_exact,t,rBC,"t-rBC",s46);
b &= test_aux(is_kernel_exact,t,r2E,"t-r2E",s26);
b &= test_aux(is_kernel_exact,t,rE2,"t-rE2",s62);
b &= test_aux(is_kernel_exact,t,r2A,"t-r2A",p2);
b &= test_aux(is_kernel_exact,t,r6E,"t-r6E",p6);
b &= test_aux(is_kernel_exact,t,rB8,"t-rB8",s46);
b &= test_aux(is_kernel_exact,t,rC8,"t-rC8",s64);
b &= test_aux(is_kernel_exact,t,r8C,"t-r8C",s86);
b &= test_aux(is_kernel_exact,t,r1F,"t-r1F",s13);
b &= test_aux(is_kernel_exact,t,rF6,"t-rF6",s31);
// Outside triangle plane
Ray rab(pa,pb);
Ray rac(pa,pc);
Ray rae(pa,pe);
Ray ra8(pa,p8);
Ray rb2(pb,p2);
b &= test_aux(is_kernel_exact,t,rab,"t-rab",p1);
b &= test_aux(is_kernel_exact,t,rac,"t-rac",p6);
b &= test_aux(is_kernel_exact,t,rae,"t-rae",p8);
b &= test_aux(is_kernel_exact,t,ra8,"t-ra8",p8);
b &= test_aux(is_kernel_exact,t,rb2,"t-rb2",p2);
// -----------------------------------
// Line queries
// -----------------------------------
// Edges of t
Line l12(p1,p2);
Line l21(p2,p1);
Line l13(p1,p3);
Line l23(p2,p3);
b &= test_aux(is_kernel_exact,t,l12,"t-l12",s12);
b &= test_aux(is_kernel_exact,t,l21,"t-l21",s21);
b &= test_aux(is_kernel_exact,t,l13,"t-l13",s13);
b &= test_aux(is_kernel_exact,t,l23,"t-l23",s23);
// In triangle
Line l14(p1,p4);
Line l41(p4,p1);
Line l24(p2,p4);
Line l42(p4,p2);
Line l15(p1,p5);
Line l25(p2,p5);
Line l34(p3,p4);
Line l35(p3,p5);
Line l36(p3,p6);
Line l45(p4,p5);
Line l16(p1,p6);
Line l26(p2,p6);
Line l62(p6,p2);
Line l46(p4,p6);
Line l48(p4,p8);
Line l56(p5,p6);
Line l47(p4,p7);
Line l89(p8,p9);
Line l86(p8,p6);
Line l68(p6,p8);
Segment l89_res(p1,p9_);
b &= test_aux(is_kernel_exact,t,l14,"t-l14",s12);
b &= test_aux(is_kernel_exact,t,l41,"t-l41",s21);
b &= test_aux(is_kernel_exact,t,l24,"t-l24",s21);
b &= test_aux(is_kernel_exact,t,l42,"t-l42",s12);
b &= test_aux(is_kernel_exact,t,l15,"t-l15",s15);
b &= test_aux(is_kernel_exact,t,l25,"t-l25",s23);
b &= test_aux(is_kernel_exact,t,l34,"t-l34",s34);
b &= test_aux(is_kernel_exact,t,l35,"t-l35",s32);
b &= test_aux(is_kernel_exact,t,l36,"t-l36",s31);
b &= test_aux(is_kernel_exact,t,l45,"t-l45",s45);
b &= test_aux(is_kernel_exact,t,l16,"t-l16",s13);
b &= test_aux(is_kernel_exact,t,l26,"t-l26",s26);
b &= test_aux(is_kernel_exact,t,l62,"t-l62",s62);
b &= test_aux(is_kernel_exact,t,l46,"t-l46",s46);
b &= test_aux(is_kernel_exact,t,l48,"t-l48",s46);
b &= test_aux(is_kernel_exact,t,l56,"t-l56",s56);
b &= test_aux(is_kernel_exact,t,l47,"t-l47",s45);
b &= test_aux(is_kernel_exact,t,l89,"t-t89",l89_res);
b &= test_aux(is_kernel_exact,t,l68,"t-l68",s64);
b &= test_aux(is_kernel_exact,t,l86,"t-l86",s46);
// Outside points (in triangle plane)
Line lAB(pA,pB);
Line lBC(pB,pC);
Line l2E(p2,pE);
Line lE2(pE,p2);
Line l2A(p2,pA);
Line l6E(p6,pE);
Line lB8(pB,p8);
Line lC8(pC,p8);
Line l8C(p8,pC);
Line l1F(p1,pF);
Line lF6(pF,p6);
b &= test_aux(is_kernel_exact,t,lAB,"t-lAB",p2);
b &= test_aux(is_kernel_exact,t,lBC,"t-lBC",s46);
b &= test_aux(is_kernel_exact,t,l2E,"t-l2E",s26);
b &= test_aux(is_kernel_exact,t,lE2,"t-lE2",s62);
b &= test_aux(is_kernel_exact,t,l2A,"t-l2A",p2);
b &= test_aux(is_kernel_exact,t,l6E,"t-l6E",s26);
b &= test_aux(is_kernel_exact,t,lB8,"t-lB8",s46);
b &= test_aux(is_kernel_exact,t,lC8,"t-lC8",s64);
b &= test_aux(is_kernel_exact,t,l8C,"t-l8C",s46);
b &= test_aux(is_kernel_exact,t,l1F,"t-l1F",s13);
b &= test_aux(is_kernel_exact,t,lF6,"t-lF6",s31);
// Outside triangle plane
Line lab(pa,pb);
Line lac(pa,pc);
Line lae(pa,pe);
Line la8(pa,p8);
Line lb2(pb,p2);
b &= test_aux(is_kernel_exact,t,lab,"t-lab",p1);
b &= test_aux(is_kernel_exact,t,lac,"t-lac",p6);
b &= test_aux(is_kernel_exact,t,lae,"t-lae",p8);
b &= test_aux(is_kernel_exact,t,la8,"t-la8",p8);
b &= test_aux(is_kernel_exact,t,lb2,"t-lb2",p2);
return b;
}