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📁 分形理论及算法
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  [e^<I>x</I> - e^(-<I>x</I>)]/2.</UL>
<P></P>
<P>=D4=DA=B8=B4=B5=FC=B4=FA=B3=CC=D0=F2=D6=D0=A3=AC=D5=E2=D0=A9=BB=F9=B1=BE=
=D4=CB=CB=E3=BE=AD=B3=A3=D3=C3=B5=BD=A3=AC=D7=EE=BA=C3=BD=AB=CB=FC=C3=C7=B6=
=BC=B1=E0=D6=C6=B3=C9=BA=AF=CA=FD(=B9=FD=B3=CC)=A3=AC=B4=E6=B5=BD=D2=BB=B8=
=F6=B5=A5=D4=AA=D6=D0=C8=A5=A3=AC=CA=B9=D3=C3=CA=B1=BF=C9=D2=D4=B0=D1=CB=FC=
=C3=C7=B5=B1=B3=C9=A1=B0=B1=EA=D7=BC=BA=AF=CA=FD(=B9=FD=B3=CC)=A1=B1=B5=F7=
=D3=C3=A1=A3=C9=E8=B5=A5=D4=AA=CE=AACOMPLEX.TPU=A3=AC=20
COMPLEX.PAS=B5=C4=C4=DA=C8=DD=C8=E7=CF=C2=A3=BA</P>
<P>
<UL><PRE>unit =
complex;=A3=FBPASCAL=B5=A5=D4=AA=A3=BA=B8=B4=CA=FD=CB=C4=D4=F2=D4=CB=CB=E3=
=A3=FD
interface
procedure add (x1, y1, x2, y2 : real; var x3, y3 : real); =
{=B8=B4=CA=FD=BC=D3=B7=A8}
procedure sub (x1, y1, x2, y2 : real; var x3, y3 : real); =
{=B8=B4=CA=FD=BC=F5=B7=A8}
procedure mult(x1, y1, x2, y2 : real; var x3, y3 : real); =
{=B8=B4=CA=FD=B3=CB=B7=A8}
procedure cdiv(x1, y1, x2, y2  : real; var x3, y3 : real); =
{=B8=B4=CA=FD=B3=FD=B7=A8}
function cosh(x : real) : real; {=CB=AB=C7=FA=D3=E0=CF=D2=BA=AF=CA=FD}
function sinh(x : real) : real; {=CB=AB=C7=FA=D5=FD=CF=D2=BA=AF=CA=FD}
procedure csin(x,y : real; var x1, y1 :real);{=B8=B4=CA=FD=D5=FD=CF=D2}
procedure ccos(x,y : real; var x1, y1 :real);{=B8=B4=CA=FD=D3=E0=CF=D2}
procedure cexp(x,y : real; var x1, y1 :real);{=B8=B4=CA=FD=D6=B8=CA=FD}
implementation
procedure add (x1, y1, x2, y2 : real; var x3, y3 : =
real);=A3=FB=B8=B4=CA=FD=BC=D3=B7=A8=A3=FD
     {=BC=C6=CB=E3z_3 =3D z_1 + z_2=A3=AC
      =C6=E4=D6=D0:z_1 =3D x_1 + iy_1,z_2 =3D x_2 + iy_2,z_3 =3D x_3 + =
iy_3}
begin
     x3 :=3D x1+x2;y3 :=3D y1+y2
end;

procedure sub (x1, y1, x2, y2 : real; var x3, y3 : =
real);=A3=FB=B8=B4=CA=FD=BC=F5=B7=A8=A3=FD
{=BC=C6=CB=E3z_3 =3D z_1 - z_2}
begin
     x3 :=3D x1-x2;y3 :=3D y1-y2
end;

procedure mult(x1, y1, x2, y2 : real; var x3, y3 : =
real);=A3=FB=B8=B4=CA=FD=B3=CB=B7=A8=A3=FD
{=BC=C6=CB=E3z_3 =3D z_1 * z_2}
begin
     x3 :=3D x1*x2-y1*y2;y3 :=3D y1*x2 + x1*y2
end;

procedure cdiv(x1, y1, x2, y2 : real; var x3, y3 : =
real);=A3=FB=B8=B4=CA=FD=B3=FD=B7=A8=A3=FD
{=BC=C6=CB=E3z_3 =3D z_1 / z_2}
var
denom : real;                   {=B7=D6=C4=B8}
begin
     denom :=3D x2*x2 + y2*y2;
     x3 :=3D (x1*x2 + y1*y2)/ denom;   {=CA=B5=B2=BF}
     y3 :=3D (x2*y1 - x1*y2)/ denom    {=D0=E9=B2=BF}
end;


function cosh( x : real) : real;     =
{=BC=C6=CB=E3=CB=AB=C7=FA=D3=E0=CF=D2cosh(x) }
begin
     cosh :=3D (exp(x) + exp(-x))/2.0
end;

function sinh( x : real) : real;     =
{=BC=C6=CB=E3=CB=AB=C7=FA=D5=FD=CF=D2sinh(x) }
begin
     sinh :=3D (exp(x) - exp(-x))/2.0
end;

procedure ccos(x, y : real; var x1, y1 : real);
{=BC=C6=CB=E3=B8=B4=CA=FD=D3=E0=CF=D2z =3D cos(x + =
iy)=A3=AC=C6=E4=D6=D0:x1=CA=C7z=B5=C4=CA=B5=B2=BF=A3=ACy1=CA=C7z=B5=C4=D0=
=E9=B2=BF}
begin
     x1 :=3D cos(x)*cosh(y);y1 :=3D -sin(x)*sinh(y)
end;

procedure csin(x, y : real; var x1, y1 : real);
{=BC=C6=CB=E3=B8=B4=CA=FD=D5=FD=CF=D2z =3Dsin(x + =
iy)=A3=AC=C6=E4=D6=D0:x_1=CA=C7z=B5=C4=CA=B5=B2=BF=A3=ACy_1=CA=C7z=B5=C4=D0=
=E9=B2=BF}
begin
     x1 :=3D sin(x)*cosh(y);y1 :=3D cos(x)*sinh(y)
end;

procedure cexp(x, y : real; var x1, y1 : real);
{=BC=C6=CB=E3=B8=B4=CA=FD=D6=B8=CA=FDz =3D e^(x + =
iy)=A3=AC=C6=E4=D6=D0=A3=BAx_1=CA=C7z=B5=C4=CA=B5=B2=BF=A3=ACy_1=CA=C7z=B5=
=C4=D0=E9=B2=BF}
begin
     x1 :=3D exp(x)*cos(y);y1 :=3D exp(x)*sin(y)
end;
end.  {=B8=B4=CA=FD=CB=C4=D4=F2=D4=CB=CB=E3=B5=A5=D4=AA=BD=E1=CA=F8}
</PRE></UL><PRE></PRE>
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/pref1.=
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t.htm">=C4=BF=C2=BC</A></FONT></TD>
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/101.ht=
m">1</A></TD>
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m">2</A></TD>
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m">5</A></TD>
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/601.ht=
m">6</A></TD>
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/701.ht=
m">7</A></TD>
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/901.ht=
m">9</A></TD>
    <TD><A=20
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/1001.h=
tm">10</A></TD>
    <TD><A=20
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/EP.htm=
">=CE=B2=C9=F9</A></TD>
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/REF.ht=
m">=B2=CE=BF=BC=CE=C4=CF=D7</A></TD>
    <TD><A=20
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/EE.htm=
">=BA=F3=BC=C7</A></TD>
    <TD><A=20
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/DDEX.h=
tm">=CB=F7=D2=FD</A></TD></TR></TBODY></TABLE></FONT>
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    <TD><A=20
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/601.ht=
m">6.1</A></TD>
    <TD><A=20
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/602.ht=
m">6.2</A></TD>
    <TD><A=20
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/603.ht=
m">6.3</A></TD>
    <TD><A=20
      =
href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/604.ht=
m">6.4</A></TD>
    <TD><A=20
      =
href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/605.ht=
m">6.5</A></TD>
    <TD><A=20
      =
href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/606.ht=
m">6.6</A></TD></TR></TBODY></TABLE></FONT></CENTER>
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