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1 $ pwd /home1/t0/t0903 / / /home1/t0/t0903 / / /home1/t0/t0903 / /... ~ $ ls $ ls -a

2 $ ls -l $ ls -l -a $ ls -la $ ls -F $ ls <dirname> <dirname> $ cd <dirname> <dirname> $ cd $ pwd $ cat <filename> <filename> $ less <filename> <filename> less $ man <cmdname> <cmdname> $ mkdir <dirname> <dirname>

3 nrps ~ nrps ~/nrps $ cd ~/nrps nrps hello.c.c ~/nrps hello.c /* This is my first C program. */ #include<stdio.h> #define MYNAME "abcdefg" int main() { printf("hello World!!\n"); printf("my name is %s.\n",myname); return(0); }

4 hello.c hello.c ~/nrps $ cd ~/nrps nrps $ ls-a $ gcc hello.c -o hello.out -lm hello.c hello.out hello.out aaa.out aaa.out $ ls hello.out $./hello.out hello.c gcc... c ~/nrps

5 $ cd ~/nrps $ chmod +x c $ cd ~/nrps $./c hello hello.c hello.out ~/nrps ~/nrps $ cd~/nrps cd $ ls -a $ rm -r <file name> $ ls -a

6 main2d.c ~/nrps main2d.c $ cd ~/nrps $./c main2d $./main2d.out 1 #include <stdio.h> 2 #include <stdlib.h> 3 #include <GL/glut.h> 4 5 #define WIDTH #define HIGHT void display(void); 9 void reshape(int w, int h); 10 void keyboard(unsigned char key, int x, int y); 11 void ginit(int* pargc, char** argv); void display(void) 14 { 15 int i, j; glclear(gl_color_buffer_bit); 18 glpointsize(1);

7 19 glbegin(gl_points); 20 glcolor3f(1.0,0.0,0.0); /* red */ 21 glvertex2f(1,1); 22 glcolor3f(0.0,1.0,0.0); /* green */ 23 glvertex2f(2,2); 24 glcolor3f(0.0,0.0,1.0); /* blue */ 25 glvertex2f(3,3); glend(); 28 glutswapbuffers(); 29 } void reshape(int w, int h) 32 { 33 glviewport(0, 0, (GLsizei)w, (GLsizei)h ); 34 glmatrixmode(gl_projection); 35 glloadidentity(); 36 gluortho2d(0.0, (GLdouble)w, 0.0, (GLdouble) h); 37 } void keyboard(unsigned char key, int x, int y) 40 { 41 switch(key) { 42 case 'q': 43 case 'Q': 44 exit(0); 45 break; 46 case ' ': 47 glutidlefunc(0); 48 break; 49 default: 50 break; 51 } 52 }

8 53 54 void ginit(int* pargc, char** argv) 55 { 56 glutinit(pargc,argv); 57 glutinitdisplaymode(glut_double GLUT_RGB); 58 glutinitwindowsize(width,hight); 59 glutinitwindowposition(100,50); 60 glutcreatewindow("numerical Recipes for Polymer Science"); 61 glclearcolor(0.0,0.0,0.0,0.0); /* background color */ 62 glshademodel(gl_flat); 63 glutdisplayfunc(display); 64 glutreshapefunc(reshape); 65 glutkeyboardfunc(keyboard); 66 } int main(int argc, char* argv[]) 69 { 70 ginit(&argc,argv); 71 glutmainloop(); 72 return 0; 73 } WIDTH HIGHT WIDTH 300 reshape void int

9 display glutdisplayfunc(display) display i j display() 1 glbegin() glend() glbegin(gl_points) glbegin(gl_lines) glbegin(gl_line_strip) glbegin(gl_line_loop) glbegin(gl_triangles / GL_QUADS) glbegin(gl_trianble_strip / GL_QUAD_STRIPE) glbegin(gl_triangle_fan) glbegin(gl_polygon) glcolor3f() glvertex2f(float x, float y) (x, y) glutswapbuffers() reshape(int w, int h) glutreshapefunc() glutkeyboardfunc()

10 ginit(int* pargc, char** argv) main() main() { } #include.c ;

11 #include <stdio.h> int main() { printf("hello World!\n"); return(0); } #include <stdio.h> int main(){printf("hello World!\n");return(0);} main() #include <stdio.h> int mai n(){printf("hello World!\n");return(0);} ; : {} () [] <> #include '' "" / % { } _ _

12 + a = b+c; b c a - a = b-c; b c a * a = b*c; b c a / a = b/c; b c a % a = b%c; b c a ++ a++; ++a; a = a + 1; -- a--; --a; a = a - 1; - b = -a;

13 = a = b += a += b; a = a + b; -= a -= b; a = a - b; *= a *= b; a = a*b; /= a /= b; a = a/b; %= a %= b; a = a%b; > < >= <= ==!= a = (b > c); c b a a a = ( b!= c); b c a a a = (b > c) && (c < d); b>c c<d a a = (b > c) (c < d); b>c c<d a &&!

14 a =!(b > c); b>c a if for while 1 #include <stdio.h> 2 #include <stdlib.h> 3 4 int main() 5 { 6 int num,i; 7 8 for(i=0;i<4;i++){ 9 num = rand()%2000; if(num < 100){ 12 printf("%d < 100\n", num); 13 }else if(num > 1000){ 14 printf("%d > 1000\n", num); 15 }else{ 16 printf("100 <= %d <= 1000\n",num); 17 } if(num < 100)printf("The num is smaller than 100\n"); } i=0;

15 24 while(i < 5){ 25 num = rand()%2000; 26 printf("num = %d\n",num); 27 i++; 28 } do{ 31 num = rand()%2000; 32 printf("in do_while, num = %d\n",num); 33 i--; 34 }while(i>0); return(0); 37 } 38.c 1 #include <stdio.h>

16 2 #include <stdlib.h> 3 4 double f2bai(double x); 5 double tasu(double x, double y); 6 7 double f2bai(double x) 8 { 9 printf("f2bai works.\n"); return(2.0*x); 12 } double tasu(double x, double y) 15 { 16 return(x+y); 17 } int main() 20 { 21 double a,b; a = (rand()%1000)/1000.0; 24 b = (rand()%1000)/1000.0; printf("2*%lf = %lf\n", a, f2bai(a)); 27 printf("%lf + %lf = %lf\n", a, b, tasu(a,b)); return(0); 30 } ~/nrps

17 $ pwd main2d.c hexagon.c $ cp main2d.c hexagon.c 1 #include <stdio.h> 2 #include <stdlib.h> 3 #include <GL/glut.h> * 4 #include <math.h> 5 6 #define WIDTH #define HIGHT 300 * 8 #define RADIUS 100 * 9 #define X0 150 *10 #define Y void display(void) 18 { *19 int x, y, deg; glclear(gl_color_buffer_bit); 22 glpointsize(1); *23 glbegin(gl_line_loop); *24 glcolor3f(1.0, 1.0, 0.0); /* yellow */ *25 for(deg = 0; deg < 360; deg = deg+60){ *26 x = RADIUS*cos(deg*M_PI/180); *27 y = RADIUS*sin(deg*M_PI/180); *28 glvertex2f(x0+x,y0+y); *29 }

18 30 glend(); 31 glutswapbuffers(); 32 } hexagon.c math.h RADIUS X0 Y0 display() hexagon.c hexagon.c 1 #include <stdio.h> 2 #include <stdlib.h> 3 #include <GL/glut.h> 4 #include <math.h> * 5 #include <time.h> 6 7 #define WIDTH #define HIGHT #define RADIUS #define X #define Y0 150 *12 #define DEGSTEP void display(void); 15 void reshape(int w, int h); 16 void keyboard(unsigned char key, int x, int y); 17 void ginit(int* pargc, char** argv);

19 *18 void idle(void); 19 *20 int Degshift=0; 21 *22 void idle(void) *23 { *24 static int first = 1; *25 static time_t past; *26 time_t now; *27 *28 if(first == 1){ *29 time(&past); *30 first = 0; *31 return; *32 } *33 *34 time(&now); *35 *36 if(difftime(now,past) > 1.0){ *37 Degshift += DEGSTEP; *38 past = now; *39 } *40 *41 glutpostredisplay(); *42 } void display(void) 45 { 46 int x, y, deg; glclear(gl_color_buffer_bit); 49 glpointsize(1); 50 glbegin(gl_polygon); 51 glcolor3f(1.0, 1.0, 0.0); /* yellow */

20 52 for(deg = 0; deg < 360; deg = deg+60){ *53 x = RADIUS*cos((deg+Degshift)*M_PI/180); *54 y = RADIUS*sin((deg+Degshift)*M_PI/180); 55 glvertex2f(x0+x,y0+y); 56 } 57 glend(); 58 glutswapbuffers(); 59 } void reshape(int w, int h) 62 { 63 glviewport(0, 0, (GLsizei)w, (GLsizei)h ); 64 glmatrixmode(gl_projection); 65 glloadidentity(); 66 gluortho2d(0.0, (GLdouble)w, 0.0, (GLdouble) h); 67 } void keyboard(unsigned char key, int x, int y) 70 { 71 switch(key) { 72 case 'q': 73 case 'Q': 74 exit(0); 75 default: 76 break; 77 } 78 } void ginit(int* pargc, char** argv) 81 { 82 glutinit(pargc,argv); 83 glutinitdisplaymode(glut_double GLUT_RGB); 84 glutinitwindowsize(width,hight); 85 glutinitwindowposition(100,50);

21 86 glutcreatewindow("numerical Recipes for Polymer Science"); 87 glclearcolor(0.0,0.0,0.0,0.0); /* background color */ 88 glshademodel(gl_flat); 89 glutdisplayfunc(display); 90 glutreshapefunc(reshape); 91 glutkeyboardfunc(keyboard); *92 glutidlefunc(idle); 93 } int main(int argc, char* argv[]) 96 { 97 ginit(&argc,argv); 98 glutmainloop(); 99 return 0; 100 } 101 rothex.c time() time.h.h DEGSTEP idle(void) Degshift

22 glutidlefunc() 1 0 first static static time.h time_t now past now past time(&past) first return if time(&now) now difftime(now,past) now past Degshift DEGDTEP now past idle(void)

23 j x j j j + 1 l j l j = x j+1 x j, n x n x 1 = n 1 l j j=1 H j j + 1 l j l j E a n 1 H = ae l j, j=1

24 l j = x j+1 x j, x n x 1 = n 1 j=1 l j, l j = ±l (l > 0) n 1 H = ϵ l j, j=1 ϵ e x x = 0 e x = j=0 x j j! = 1 + x x x j! xj +, 0! = 1 x = 1 e = j! + = j=0 1 j!, e = n j=0 1 j!. n 1 15 n

25 T j H j j Ψ j k Ψ j = 1 ( Z H ) j, k T Z = j ( H ) j, k T j T a b P a b ( H ) ( a P ab = H ) b P ba, k T k T

26 N N H 3N r N = (r 1, r 2, r N ) 3N p N = (p 1, p 2, p N ) H = N j=1 p 2 j 2m + U(r 1, r 2,, r N ), U r j = (x j, y j, z j ) p j = (p xj, p yj, p zj ) x j y j z j j x y z p xj p yj p zj p N r N r N = (r 1, r 2,, r N ) p N = (p 1, p 2,, p N ) r + r N = (r 1 + r 1, r 2 + r 2,, r N + r N ) p + p N = (p 1 + p 1, p 2 + p 2,, p N + p N ) ( H ) r N p N k T ( H ) k T Q r N Q < Q > ( Q ( Q H ) r N p N k < Q >= T ( H ) = r N p N k T U ) r N k T ), r N ( U k T N r N k t k t t m N 1 a x a y b z b

27 x a x a + δ x (1 2ξ 1 ), y a y a + δ y (1 2ξ 2 ), z a z a + δ z (1 2ξ 3 ). δ x, δ y, δ z x y z ξ j [0, 1] 8δ x δ y δ z t m t m t U t m U m U t U m k + 1 m U t < U m m [0, 1] η ( η < U ) m U t k T m k + 1 ( η > U ) m U t k T t k + 1 N l j = ±1 0

28 t m N l j 1 k t t m 1 n 1 a l a +1 1 l a l a 1 t m m t H t m H m H t H m k + 1 m H t < H m [0, 1] η m k + 1 ( η < H ) m H t k T ( η > H ) m H t k T t k + 1

29 1 #include <stdio.h> 2 #include <stdlib.h> 3 4 #define N (20) 5 6 double uran(){ 7 return((double)rand()/rand_max); 8 } 9 10 int main() 11 { 12 float rn[n]; 13 int l[n]; 14 int j; for(j=0;j<n;j++){ 17 rn[j] = uran(); 18 if(rn[j] < 0.5){ 19 l[j] = -1; 20 }else{ 21 l[j] = 1; 22 } printf("%f,%2d\n",rn[j],l[j]); 25 } 26 return(0); 27 } 28

30 H ϵ = k = #include <stdio.h> 2 #include <stdlib.h> 3 #include <math.h> 4 5 #define N (100) 6 #define EP (6.0e-22) /* [J] */ 7 #define KB ( e-23) /* The Botzmann's constant [J/K] */ 8 #define MCTIME (1000) 9 10 double uran(){ 11 return((double)rand()/rand_max); 12 } int main() 15 { 16 int l[n],p[n+1]; 17 int k,j,mct,lbefore,end; 18 float dene,t; 19 FILE *fp; printf("temperature ="); 22 scanf("%f",&t); 23 printf("\n"); for(j=0;j<n;j++){ 26 l[j] = 1; 27 } for(j=0;j<n+1; j++){ 30 p[j] = 0;

31 31 } for(mct=0;mct<mctime;mct++){ 34 for(k=0;k<n;k++){ 35 j = (N+1)*uran(); 36 lbefore = l[j]; 37 l[j] *= (-1); 38 dene = - EP*l[j] - (-EP*lbefore); 39 if(dene > 0){ 40 if(exp(-dene/(kb*t)) < uran()){ 41 l[j] = lbefore; 42 } 43 } 44 } for(j=0,end=0;j<n;j++){ 47 end += l[j]; 48 } 49 p[(end+n)/2]++; printf("%d\n",mct); 52 } fp = fopen("result.txt","w"); for(j=0;j<(n+1);j++){ 57 fprintf(fp,"%d\t%e\n",2*j-n,((float)p[j])/mctime); 58 } fclose(fp); return(0); 63 } 64

32 65 result.txt $ mv result.txt 10.txt result.txt 10.txt 100.txt 1000.txt

33 [0, 1] uran() double j int l[n] [ ]... [ ] p[n+1] [ ]... [ ] lbefor end float dene t FILE fp t for for { }

34 j 0 l[j] = 1 j j + 1 j j < N l[j] j 0 N p[j] 0 p[j] mct { } mct 1 mct MCTIME N N 1 j 0 N l[j] l[j] 1 1 lbefore l[j] l[j] l[j] l[j] 1 l[j] l[j] *= (-1); l[j] = l[j]*(-1); l j l j l j H H H H = ϵ(l l j + + l N 1 ) ( ϵ)(l l j + + l N 1 ) = ϵl j ( ϵl j), dene

35 dene ( H ) H, k T H H [0, 1] l[j] x l j 1 x = N x = N 2 x 2 x = N, N + 2, N + 4,..., N 4, N 2, N j = (x+n)/2 x = N, N +2, N +4,..., N 4, N 2, N j = 0, 1, 2,..., N 2, N 1, N x = 2j N p[j] 1 p[j] x p[(x 1 x = 2j N result.txt 2j N p[j]/mctime n 1 H = ϵ l xj, j=1

36 l xj j x rothex.c 1 #include <stdio.h> 2 #include <stdlib.h> 3 #include <GL/glut.h> 4 #include <math.h> 5 #include <time.h> 6 7 #define WIDTH #define HIGHT #define RADIUS #define LENGTH 3 11 #define X #define Y #define DEGSTEP #define N (100) 16 #define EP (6.0e-22) /* [J] */ 17 #define KB ( e-23) /* The Botzmann's constant [J/K] */ 18 #define MCTIME (1000) 19 #define DL (0.5) void display(void); 22 void reshape(int w, int h); 23 void keyboard(unsigned char key, int x, int y); 24 void ginit(int* pargc, char** argv); 25 void idle(void); int Degshift=0; 28 int Zoom=1,Stop=1; 29 float Ep,T, Lx[N], Ly[N]; 30 31

37 32 double uran(){ 33 return((double)rand()/rand_max); 34 } int mcrun() 38 { 39 int j; 40 float dene; 41 float lxbefore, lybefore; 42 float dx, dy, r; j = (N-1)*uran()+1; 45 lxbefore = Lx[j]; 46 lybefore = Ly[j]; do{ 49 dx = 2.0*DL*(uran()-0.5); 50 dy = 2.0*DL*(uran()-0.5); 51 }while( dx*dx + dy*dy > DL*DL); /* 54 Lx[j] = Lx[j] + dx; 55 Ly[j] = Ly[j] + dy; 56 */ Lx[j] = dx; 59 Ly[j] = dy; r = sqrt(lx[j]*lx[j] + Ly[j]*Ly[j]); 62 Lx[j] = Lx[j]/r; 63 Ly[j] = Ly[j]/r; dene = - Ep*Lx[j] - (-Ep*lxbefore);

38 66 dene = dene*ep; if(dene > 0){ 69 if(exp(-dene/(kb*t)) < uran()){ 70 Lx[j] = lxbefore; 71 Ly[j] = lybefore; 72 } 73 } return(0); 76 } void idle(void) 79 { 80 if(stop == 1)return; 81 mcrun(); 82 glutpostredisplay(); 83 } void display(void) 86 { 87 int x, y, j; glclear(gl_color_buffer_bit); 90 glpointsize(1); 91 glbegin(gl_line_strip); 92 glcolor3f(1.0, 1.0, 1.0); /* white */ 93 x = 0; 94 y = 0; 95 glvertex2f(x0+x, Y0+y); 96 for(j=1;j<n;j++){ 97 if(j%2 == 0){ 98 glcolor3f(1.0, 1.0, 1.0); 99 }else{

39 100 glcolor3f(1.0, 1.0, 0.0); 101 } 102 x = x+zoom*length*lx[j]; 103 y = y+zoom*length*ly[j]; 104 glvertex2f(x0+x, Y0+y); 105 } glend(); 108 glutswapbuffers(); 109 } void reshape(int w, int h) 112 { 113 glviewport(0, 0, (GLsizei)w, (GLsizei)h ); 114 glmatrixmode(gl_projection); 115 glloadidentity(); 116 gluortho2d(0.0, (GLdouble)w, 0.0, (GLdouble) h); 117 } void keyboard(unsigned char key, int x, int y) 120 { 121 switch(key) { 122 case 's': 123 Stop *= -1; 124 break; 125 case 'i': 126 if(zoom == 0){ 127 Zoom=1; 128 }else{ 129 Zoom *= 2; 130 } 131 break; 132 case 'o': 133 Zoom /= 2;

40 134 break; 135 case 'e': 136 printf("\nelectric field ="); 137 scanf("%f",&ep); 138 Stop = 1; 139 break; 140 case 't': 141 printf("\ntemperature ="); 142 scanf("%f",&t); 143 Stop = 1; 144 break; 145 case 'q': 146 case 'Q': 147 exit(0); 148 default: 149 break; 150 } 151 } void ginit(int* pargc, char** argv) 154 { 155 glutinit(pargc,argv); 156 glutinitdisplaymode(glut_double GLUT_RGB); 157 glutinitwindowsize(width,hight); 158 glutinitwindowposition(100,50); 159 glutcreatewindow("numerical Recipes for Polymer Science"); 160 glclearcolor(0.0,0.0,0.0,0.0); /* background color */ 161 glshademodel(gl_flat); 162 glutdisplayfunc(display); 163 glutreshapefunc(reshape); 164 glutkeyboardfunc(keyboard); 165 glutidlefunc(idle); 166 } 167

41 168 int main(int argc, char* argv[]) 169 { 170 int j; 171 ginit(&argc,argv); printf("temperature ="); 174 scanf("%f",&t); 175 printf("\n"); 176 printf("electric field ="); 177 scanf("%f",&ep); for(j=1;j<n;j++){ 180 Lx[j] = 0.0; 181 Ly[j] = 1.0; 182 } glutmainloop(); 185 return 0; 186 } 187

j x j j j + 1 l j l j = x j+1 x j, n x n x 1 = n 1 l j j=1 H j j + 1 l j l j E

8 9 7 6 4 2 3 5 1 j x j j j + 1 l j l j = x j+1 x j, n x n x 1 = n 1 l j j=1 H j j + 1 l j l j E a n 1 H = ae l j, j=1 l j = x j+1 x j, x n x 1 = n 1 j=1 l j, l j = ±l l > 0) n 1 H = ϵ l j, j=1 ϵ e x x