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LISTING 39.4 L39-4.ASM

; Scan converts an edge from (X1,Y1) to (X2,Y2), not including the
; point at (X2,Y2). If SkipFirst == 1, the point at (X1,Y1) isn’t
; drawn; if SkipFirst == 0, it is. For each scan line, the pixel
; closest to the scanned edge without being to the left of the scanned
; edge is chosen. Uses an all-integer approach for speed & precision.
; C near-callable as:
;    void ScanEdge(int X1, int Y1, int X2, int Y2, int SetXStart,
;     int SkipFirst, struct HLine **EdgePointPtr);
; Edges must not go bottom to top; that is, Y1 must be <= Y2.
; Updates the pointer pointed to by EdgePointPtr to point to the next
;  free entry in the array of HLine structures.

HLine   struc
XStart          dw     ?           ;X coordinate of leftmost pixel in scan line
XEnd            dw     ?           ;X coordinate of rightmost pixel in scan line
HLine   ends

Parms   struc
                dw     2 dup(?)    ;return address & pushed BP
X1              dw     ?           ;X start coord of edge
Y1              dw     ?           ;Y start coord of edge
X2              dw     ?           ;X end coord of edge
Y2              dw     ?           ;Y end coord of edge
SetXStart       dw     ?           ;1 to set the XStart field of each
                                   ; HLine struc, 0 to set XEnd
SkipFirst       dw     ?           ;1 to skip scanning the first point
                                   ; of the edge, 0 to scan first point
EdgePointPtr     dw    ?           ;pointer to a pointer to the array of
                                   ; HLine structures in which to store
                                   ; the scanned X coordinates
Parms   ends

;Offsets from BP in stack frame of local variables.
AdvanceAmt      equ     -2
Height          equ     -4
LOCAL_SIZE      equ      4         ;total size of local variables

        .model small
        .code
        public _ScanEdge
        align  2
_ScanEdge   proc
        push  bp                   ;preserve caller’s stack frame
        mov   bp,sp                ;point to our stack frame
        sub   sp,LOCAL_SIZE        ;allocate space for local variables
        push  si                   ;preserve caller’s register variables
        push  di
        mov   di,[bp+EdgePointPtr]
        mov   di,[di]              ;point to the HLine array
        cmp   [bp+SetXStart],1     ;set the XStart field of each HLine
                                   ; struc?
        jz    HLinePtrSet          ;yes, DI points to the first XStart
        add   di,XEnd              ;no, point to the XEnd field of the
                                   ; first HLine struc
HLinePtrSet:
        mov   bx,[bp+Y2]
        sub   bx,[bp+Y1]           ;edge height
        jle   ToScanEdgeExit       ;guard against 0-length & horz edges
        mov   [bp+Height],bx       ;Height = Y2 - Y1
        sub   cx,cx                ;assume ErrorTerm starts at 0 (true if
                                   ; we’re moving right as we draw)
        mov   dx,1                 ;assume AdvanceAmt = 1 (move right)
        mov   ax,[bp+X2]
        sub   ax,[bp+X1]           ;DeltaX = X2 - X1
        jz    IsVertical           ;it’s a vertical edge--special case it
        jns   SetAdvanceAmt        ;DeltaX >= 0
        mov   cx,1                 ;DeltaX < 0 (move left as we draw)
        sub   cx,bx                ;ErrorTerm = -Height + 1
        neg   dx                   ;AdvanceAmt = -1 (move left)
        neg   ax                   ;Width = abs(DeltaX)
SetAdvanceAmt:
        mov   [bp+AdvanceAmt],dx
; Figure out whether the edge is diagonal, X-major (more horizontal),
; or Y-major (more vertical) and handle appropriately.
        cmp   ax,bx                 ;if Width==Height, it’s a diagonal edge
        jz    IsDiagonal            ;it’s a diagonal edge--special case
        jb    YMajor                ;it’s a Y-major (more vertical) edge
                                    ;it’s an X-major (more horz) edge
        sub   dx,dx                 ;prepare DX:AX (Width) for division
        div   bx                    ;Width/Height
                                    ;DX = error term advance per scan line
        mov   si,ax                 ;SI = minimum # of pixels to advance X
                                    ; on each scan line
        test  [bp+AdvanceAmt],8000h ;move left or right?
        jz    XMajorAdvanceAmtSet   ;right, already set
        neg   si                    ;left, negate the distance to advance
                                    ; on each scan line
XMajorAdvanceAmtSet:                ;
        mov   ax,[bp+X1]            ;starting X coordinate
        cmp   [bp+SkipFirst],1      ;skip the first point?
        jz    XMajorSkipEntry       ;yes
XMajorLoop:
        mov   [di],ax               ;store the current X value
        add   di,size HLine         ;point to the next HLine struc
XMajorSkipEntry:
        add   ax,si                 ;set X for the next scan line
        add   cx,dx                 ;advance error term
        jle   XMajorNoAdvance       ;not time for X coord to advance one
                                    ; extra
        add   ax,[bp+AdvanceAmt]    ;advance X coord one extra
        sub   cx,[bp+Height]        ;adjust error term back
XMajorNoAdvance:
        dec   bx                    ;count off this scan line
        jnz   XMajorLoop
        jmp   ScanEdgeDone
        align 2
ToScanEdgeExit:
        jmp   ScanEdgeExit
        align2
IsVertical:
        mov   ax,[bp+X1]            ;starting (and only) X coordinate
        sub   bx,[bp+SkipFirst]     ;loop count = Height - SkipFirst
        jz    ScanEdgeExit          ;no scan lines left after skipping 1st
VerticalLoop:
        mov   [di],ax               ;store the current X value
        add   di,size HLine         ;point to the next HLine struc
        dec   bx                    ;count off this scan line
        jnz   VerticalLoop
        jmp   ScanEdgeDone
        align 2
IsDiagonal:
        mov   ax,[bp+X1]            ;starting X coordinate
        cmp   [bp+SkipFirst],1      ;skip the first point?
        jz    DiagonalSkipEntry     ;yes
DiagonalLoop:
        mov   [di],ax               ;store the current X value
        add   di,size HLine         ;point to the next HLine struc
DiagonalSkipEntry:
        add   ax,dx                 ;advance the X coordinate
        dec   bx                    ;count off this scan line
        jnz   DiagonalLoop
        jmp   ScanEdgeDone
        align 2
YMajor:
        pushbp                      ;preserve stack frame pointer
        mov   si,[bp+X1]            ;starting X coordinate
        cmp   [bp+SkipFirst],1      ;skip the first point?
        mov   bp,bx                 ;put Height in BP for error term calcs
        jz    YMajorSkipEntry       ;yes, skip the first point
YMajorLoop:
        mov   [di],si               ;store the current X value
        add   di,size HLine         ;point to the next HLine struc
YMajorSkipEntry:
        add   cx,ax                 ;advance the error term
        jle   YMajorNoAdvance       ;not time for X coord to advance
        add   si,dx                 ;advance the X coordinate
        sub   cx,bp                 ;adjust error term back
YMajorNoAdvance:
        dec   bx                    ;count off this scan line
        jnz   YMajorLoop
        popbp                       ;restore stack frame pointer
ScanEdgeDone:
        cmp   [bp+SetXStart],1       ;were we working with XStart field?
        jz    UpdateHLinePtr         ;yes, DI points to the next XStart
        sub   di,XEnd                ;no, point back to the XStart field
UpdateHLinePtr:
        mov   bx,[bp+EdgePointPtr]   ;point to pointer to HLine array
        mov   [bx],di                ;update caller’s HLine array pointer
ScanEdgeExit:
        pop   di                     ;restore caller’s register variables
        pop   si
        mov   sp,bp                  ;deallocate local variables
        pop   bp                     ;restore caller’s stack frame
        ret
_ScanEdge   endp
        end


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Graphics Programming Black Book © 2001 Michael Abrash