<%@ Language=VBScript %> <% '几个参考点的数据已经给出,输入参数只有 X
function view(result,inputx)'输出结果,同时如果<1 and >0,就在前面补0 if result<1 and result>0 then result=0&result Response.Write "计算结果:"&"<br>" Response.Write "F("&inputx&")="& result end function
'********分段线性Lagrange插值********** function Lagrange1(inputx) dim k,i dim x,y x=array("0.1","0.2","0.3","0.4") y=array("0.0998","0.1987","0.2955","0.3894")
if inputx<x(0) then k=0 if inputx>x(3) then k=2
for i=0 to 2 if inputx>=x(i) and inputx<=x(i+1)then k=i result=((inputx-x(k+1))/(x(k)-x(k+1)))*y(k) + ((inputx-x(k))/(x(k+1)-x(k)))*y(k+1) next result= view(result,inputx) end function?
'********分段三点二次Lagrange插值********** function Lagrange2(inputx) dim i,j,k,t dim x,y result=0 x=array("0.1","0.2","0.3","0.4") y=array("0.0998","0.1987","0.2955","0.3894")
if inputx<=x(1) then k=0 if inputx>=x(2) then k=1 if inputx>x(1) and inputx<x(2) and abs(inputx-x(1))<=abs(inputx-x(2)) then k=0 else k=1
for j=k to k+2 t=1 for i= k to k+2 if i<>j then t= t * (inputx-x(i))/(x(j)-x(i)) end if next result = result + t*y(j) next result= view(result,inputx) end function
'**********一元n点拉格朗日插值*********** function Lagrange3(inputx) dim i,j dim x,y result=0 x=array("0","0.1","0.195","0.4","0.401","0.5") y=array("0.39894","0.39695","0.39142","0.38138","0.36812","0.35206")
for j=0 to 5 t=1 for i=0 to 5 if i<>j then t= t * (inputx-x(i))/(x(j)-x(i)) end if next result = result + t * y(j) next result= view(result,inputx) end function
'***********牛顿(Newton)插值*********** function Newton(inputx) dim x,y dim i,j result=0.39894 t=1 x=array("0","0.1","0.195","0.3","0.401","0.5") y=array("0.39894","0.39695","0.39142","0.38138","0.36812","0.35206")
for j=1 to 5 t=t*(inputx - x(j-1)) for i=0 to 5-j y(i)=(y(i+1) - y(i)) / (x(i+j) - x(i)) next result = result + t * y(0) next result= view(result,inputx) end function
'***********埃特金(Aitken)插值*********** function Aitken(inputx) dim i,j dim x,y x=array("0.5","0.65","0.8","1.0") y=array("0.4794","0.6052","0.7174","0.8415") for j=1 to 3 for i=j to 3 y(i)=y(j-1) + (y(i)-y(j-1)) / (x(i)-x(j-1))* (inputx-x(j-1)) next next
result= view(y(3),inputx) end function
'***********分段两点三次埃(厄)尔米特(Hermit)插值*********** function Hermit(inputx) dim i,k dim x,y,yy x=array("0.1","0.3","0.5") y=array("0.099833","0.295520","0.479426") yy=array("0.995004","0.995336","0.877583")
if inputx<=x(0) then k=0 if inputx>=x(2) then k=1 for i=0 to 1 if x(i)<=inputx and inputx<=x(i+1) then k=i next
hx1=(1+2*(inputx-x(k)) / (x(k+1)-x(k))) * mul((x(k+1)-inputx) / (x(k+1)-x(k))) hx2=(1+2*(x(k+1)-inputx) / (x(k+1)-x(k))) * mul((inputx-x(k)) / (x(k+1)-x(k))) hx3=(inputx - x(k))* mul((x(k+1)-inputx)/(x(k+1)-x(k))) hx4=(inputx - x(k+1))* mul((inputx-x(k))/(x(k+1)-x(k)))
result=y(k)*hx1 + y(k+1)*hx2 + yy(k)*hx3 + yy(k+1)*hx4 result= view(result,inputx) endfunction
function mul(str) mul=str*str end function
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