In [3]:
(*我們先假設 P (i,j)，意思是當裡面有 i 行文，j 張圖的時候，存放的分頁資訊，其型別為 Pagination*)
type pagination = {mutable isPagizable : bool; noOfPages : int; predecessor : int * int};;
Out[3]:
type pagination = {
mutable isPagizable : bool;
noOfPages : int;
predecessor : int * int;
}
In [4]:
let t = 300;; (* 行數 *)
let f = 20;; (* 圖數 *)
let maxHeight = 25.0;;
let minHeight = 20.0;;
(*行屬性：height 高度，spaceHeight 其後空白高度，isPagizable 其後空白是否可分頁*)
type line = {height : float; spaceHeight : float; mutable isPagizable : bool};;
let tArray = Array.make (t+1) {height = 0.8; spaceHeight = 0.7; isPagizable = true};;
let fArray = Array.make (t+1) {height = 12.0; spaceHeight = 1.1; isPagizable = true};;
(*tArray與fArray 第0行是空行*)
let _ = tArray.(0) <- {height = 0.0; spaceHeight = 0.0; isPagizable = false} in
let _ = fArray.(0) <- {height = 0.0; spaceHeight = 0.0; isPagizable = false} in
for i = 1 to t do
if i / 9 == 3 then
let _ = tArray.(i).isPagizable <- false in ()
else
()
done
Out[4]:
val t : int = 300
Out[4]:
val f : int = 20
Out[4]:
val maxHeight : float = 25.
Out[4]:
val minHeight : float = 20.
Out[4]:
type line = {
height : float;
spaceHeight : float;
mutable isPagizable : bool;
}
Out[4]:
val tArray : line array =
[|{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = true};
{height = 0.8; spaceHeight = 0.7; isPagizable = ...}; ...|]
Out[4]:
val fArray : line array =
[|{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = true};
{height = 12.; spaceHeight = 1.1; isPagizable = ...}; ...|]
Out[4]:
- : unit = ()
In [5]:
(*連 p 0 0 都要加進去所以需要輸入 t+1 和 f+1 的矩陣*)
let p = Array.make (t+1) (Array.make (f+1) {isPagizable = false; noOfPages = -1; predecessor=(-1,-1)});;
Out[5]:
val p : pagination array array =
[|[|{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)}|];
[|{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)}|];
[|{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = ...; predecessor = ...}; ...|];
...|]
In [6]:
let nil = -1;; (*condition value*)
(* 圖片 k 對到哪一個文字*)
let referId k =
if k < 1 then 1
else if k < 3 then 20
else if k < 6 then 40
else if k==7 then 42
else if k < 10 then 70
else if k == 11 then 80
else if k < 15 then 112
else if k == 16 then 120
else if k == 17 then 130
else 179
(*組頁*)
let makeOnePage (p : pagination array array) a b i j =
if a == i && b == j then false
else if p.(i).(j).isPagizable == false then false
else if referId j < i then false
else
let textHeight = Array.fold_right (+.) (Array.map (fun x -> x.height) (Array.sub tArray (a+1) (i-a))) 0.0 in
let textSpaceHeight = Array.fold_right (+.) (Array.map (fun x -> x.height) (Array.sub tArray (a+1) (i-a-1))) 0.0 in
let figHeight = Array.fold_right (+.) (Array.map (fun x -> x.height) (Array.sub fArray (a+1) (i-a))) 0.0 in
let figSpaceHeight = Array.fold_right (+.) (Array.map (fun x -> x.height) (Array.sub tArray (a+1) (i-a-1))) 0.0 in
let inputHeight = textHeight +. textSpaceHeight +. figHeight +. figSpaceHeight in
if inputHeight > maxHeight then false
else if inputHeight < minHeight then false
else true;;
(*以下是分頁程式*)
let pagize p =
let _ = p.(0).(0) <- {isPagizable = true; noOfPages = 0; predecessor = (nil , nil)} in
for i=0 to t do
for j=0 to f do
for a = 1 to i do
for b = 1 to j do
let canMakeOnePage = makeOnePage p a b i j in
if canMakeOnePage then
let _ = p.(i).(j).isPagizable <- true in
()
else
()
done
done
done
done;;
pagize p;;
p;;
Out[6]:
val nil : int = -1
Out[6]:
val referId : int -> int = <fun>
Out[6]:
val makeOnePage : pagination array array -> int -> int -> int -> int -> bool = <fun>
Out[6]:
val pagize : pagination array array -> unit = <fun>
Out[6]:
- : unit = ()
Out[6]:
- : pagination array array =
[|[|{isPagizable = true; noOfPages = 0; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)}|];
[|{isPagizable = true; noOfPages = 0; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)}|];
[|{isPagizable = true; noOfPages = 0; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = -1; predecessor = (-1, -1)};
{isPagizable = false; noOfPages = ...; predecessor = ...}; ...|];
...|]
In [ ]:
let costFuncOfPredecessor p i j pred =
let tracePage = ref [(i, j)] in
let movablePred = ref pred in
let _ =
while !movablePred != (-1, -1) do
let _ = tracePage := !movablePred :: !tracePage in
let (x, y) = !movablePred in
let _ = tracePage := [p.(x).(y).predecessor] in ()
(*let _ = movablePred := p.(x).(y).predecessor in ()*)
done
in !tracePage;;
costFuncOfPredecessor p 200 15 (199, 14);;