1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
|
unit rendernothreads;
interface
{$include isthreaded.inc}
{$mode objfpc}{$H+}
uses
{$IFDEF SHOWPROG}Forms,{$ENDIF}
ComCtrls,Classes, SysUtils, define_types,GraphicsMathLibrary;
const
kSh = 10; //bits to shift - precision for integers to simulate floats
type
TRotateVals = record
InSliceSz,ZDimStart,ZDimEnd,YDimStart,YDimEnd,OutPivot,OutDim,OutSliceSz: integer;
XPivotInU2,YDimIN,YPivotInU2,ZDimIN,ZPivotInU2,XDimIN: integer;
XPivotIn,YPivotIn,ZPivotIn: integer;
Xxra,Xyra,Xzra: longintp;
//RenderCutout: boolean;
end;
procedure NNRotate (lBar: TProgressBar; l: TRotateVals; var lM: TMatrix; lRenderCutout: boolean; var lBuffIn,lBuffOut: ByteP);
procedure TriRotate (lBar: TProgressBar; l: TRotateVals; var lM: TMatrix; lRenderCutout: boolean; var lBuffIn,lBuffOut: ByteP);
implementation
{$IFDEF SHOWPROG}
procedure VisualProg(lBar: TProgressBar; lPos: Integer);
begin
lBar.Position := lPos;
Application.ProcessMessages;
end;
{$ENDIF}//IFDEF SHOWPROG
procedure FindXBounds (var lXMax,lXMin: integer;
lXDimIN,lYxiZxi,lXPivotInU2,lYDimIN,lYyiZyi,lYPivotInU2,lZDimIN,lYziZzi,lZPivotInU2,lOutDim:integer;
lXxra,lXyra,lXzra : LongIntP);
var
lXo,lYo,lZo,Xo_at_one,Xo_at_two,Xo_grad,Xo_offs,lShiftedOne : integer;
when_it_is_zero, when_it_is_max: double;
lReallySmall {, debugx0, debugx1, debugy0, debugy1, debugz0, debugz1}: double;
l2: integer;
begin
lXMax := lOutDim;
lXMin := 1;
l2 := 2;
lShiftedOne := 1 shl ksh;
lReallySmall := 1e-6;
Xo_at_one := lXxRA^[1] +lYxiZxi + (lXPivotInU2 shl kSh);
Xo_at_two := lXxRA^[l2] +lYxiZxi + (lXPivotInU2 shl kSh);
Xo_grad := Xo_at_two - Xo_at_one; Xo_offs := Xo_at_one - Xo_grad;
if Abs(Xo_grad) > lReallySmall then begin
when_it_is_zero := (lShiftedOne-Xo_offs) / Xo_grad;
when_it_is_max := ((lXDimIn shl kSh)-Xo_offs) / Xo_grad;
//debugx0 := when_it_is_zero; debugx1 := when_it_is_max;
if (when_it_is_zero < when_it_is_max) then begin
if when_it_is_zero > lXMin then lXMin := Round(when_it_is_zero+0.5);
if when_it_is_max < lXMax then lXMax := Round(when_it_is_max-0.5);
end else begin
if when_it_is_max > lXMin then lXMin := Round(when_it_is_max+0.5);
if when_it_is_zero < lXMax then lXMax := Round(when_it_is_zero-0.5);
end;
end;
Xo_at_one := lXyRA^[1] +lYyiZyi + (lYPivotInU2 shl kSh);
Xo_at_two := lXyRA^[l2] +lYyiZyi + (lYPivotInU2 shl kSh);
Xo_grad := Xo_at_two - Xo_at_one; Xo_offs := Xo_at_one - Xo_grad;
if Abs(Xo_grad) > lReallySmall then begin
when_it_is_zero := (lShiftedOne-Xo_offs) / Xo_grad;
when_it_is_max := ((lYDimIn shl kSh)-Xo_offs) / Xo_grad;
//debugy0 := when_it_is_zero; debugy1 := when_it_is_max;
if (when_it_is_zero < when_it_is_max) then begin
if when_it_is_zero > lXMin then lXMin := Round(when_it_is_zero+0.5);
if when_it_is_max < lXMax then lXMax := Round(when_it_is_max-0.5);
end else begin
if when_it_is_max > lXMin then lXMin := Round(when_it_is_max+0.5);
if when_it_is_zero < lXMax then lXMax := Round(when_it_is_zero-0.5);
end;
end;
Xo_at_one := lXzRA^[1] +lYziZzi + (lZPivotInU2 shl kSh);
Xo_at_two := lXzRA^[l2] +lYziZzi + (lZPivotInU2 shl kSh);
Xo_grad := Xo_at_two - Xo_at_one; Xo_offs := Xo_at_one - Xo_grad;
if Abs(Xo_grad) > lReallySmall then begin
when_it_is_zero := (lShiftedOne-Xo_offs) / Xo_grad;
when_it_is_max := ((lZDimIn shl kSh)-Xo_offs) / Xo_grad;
//debugz0 := when_it_is_zero; debugz1 := when_it_is_max;
if (when_it_is_zero < when_it_is_max) then begin
if when_it_is_zero > lXMin then lXMin := Round(when_it_is_zero+0.5);
if when_it_is_max < lXMax then lXMax := Round(when_it_is_max-0.5);
end else begin
if when_it_is_max > lXMin then lXMin := Round(when_it_is_max+0.5);
if when_it_is_zero < lXMax then lXMax := Round(when_it_is_zero-0.5);
end;
end;
// even with all the care about rounding, it's possible that we've got the
// edges wrong in ultra-high-gradient cases
if lXMin < lXMax then begin
while true do begin
lXo := ((lXxRA^[lXMin] +lYxiZxi) shr kSh)+lXPivotInU2;
lYo := ((lXyRA^[lXMin] +lYyiZyi) shr kSh)+lYPivotInU2;
lZo := ((lXzRA^[lXMin] +lYziZzi) shr kSh)+lZPivotInU2;
if (lXMin < lXMax) and ((lXo<1) or (lXo>lXDimIn) or (lYo<1) or (lYo>lYDimIn) or (lZo<1) or (lZo>lZDimIn)) then begin
lXMin := 1+lXMin;
end else
break;
end;
while true do begin
lXo := ((lXxRA^[lXMax] +lYxiZxi) shr kSh)+lXPivotInU2;
lYo := ((lXyRA^[lXMax] +lYyiZyi) shr kSh)+lYPivotInU2;
lZo := ((lXzRA^[lXMax] +lYziZzi) shr kSh)+lZPivotInU2;
if (lXMax > lXMin) and ((lXo<1) or (lXo>lXDimIn) or (lYo<1) or (lYo>lYDimIn) or (lZo<1) or (lZo>lZDimIn)) then begin
lXMax := lXMax-1;
end else
break;
end;
end;
end;//proc findXBounds
procedure NNRotate (lBar: TProgressBar; l: TRotateVals; var lM: TMatrix; lRenderCutout: boolean; var lBuffIn,lBuffOut: ByteP);
const kshx = ksh shr 1;
var
lZxi,lZyi,lZzi,lYxiZxi,lYyiZyi,lYziZzi,lZ,lY,lX,lOutPos,
lMaxX,lMinX,lXo,lYo,lZo: integer;
begin
for lZ := l.ZDimStart to l.ZDimEnd do begin
lZxi := round(lZ*lM.matrix[1,3]* (1 shl kSh) );
lZyi := round(lZ*lM.matrix[2,3]* (1 shl kSh) );
lZzi := round(lZ*lM.matrix[3,3]* (1 shl kSh) );
{$IFDEF SHOWPROG} //flicker with lazarus
if ((lZ mod 30)=0) then
VisualProg(lBar,lZ);
{$ENDIF}
//ImgForm.ProgressBar1.Position := lZ;
for lY := l.YDimStart to l.YDimEnd do begin
lYxiZxi := round(lY * lM.matrix[1,2]* (1 shl kSh) )+lZxi;
lYyiZyi := round(lY * lM.matrix[2,2]* (1 shl kSh) )+lZyi;
lYziZzi := round(lY * lM.matrix[3,2]* (1 shl kSh) )+lZzi;
lOutPos := ((lZ+l.OutPivot-1)*l.OutSliceSz)+((lY+l.OutPivot-1)*l.Outdim);
//if gAbortRender > 0 then goto 345;
FindXBounds (lMaxX,lMinX,l.XDimIN,lYxiZxi,l.XPivotInU2,l.YDimIN,lYyiZyi,l.YPivotInU2,l.ZDimIN,lYziZzi,l.ZPivotInU2,l.OutDim,l.Xxra,l.Xyra,l.Xzra);
if lMaxX > lMinX then
for lX := lMinX to lMaxX do begin
lXo := ((l.XxRA^[lX] +lYxiZxi) shr kSh)+l.XPivotInU2;
lYo := ((l.XyRA^[lX] +lYyiZyi) shr kSh)+l.YPivotInU2;
lZo := ((l.XzRA^[lX] +lYziZzi) shr kSh)+l.ZPivotInU2;
{lXo := (lXo shr 1) + 1;
lYo := lYo shr 1;
lZo := lZo shr 1;}
lBuffOut[lX+lOutPos] := lBuffIn[(lXo)+((lYo-1)*l.XdimIn)+((lZo-1)*l.InSliceSz)]
end;
end; //for y
end; //for z
end;
procedure TriRotate (lBar: TProgressBar; l: TRotateVals; var lM: TMatrix; lRenderCutout: boolean; var lBuffIn,lBuffOut: ByteP);
//Trilinear - this uses integer math, and on CoreDuo CPUs is 30% faster than Floating Point
//For precision, integers are multiplied by kSh (~2^10 bits) to simulate floats
// However, we will use 32-bit integers and the image intensity is 8 bit values,
// with the final interpolation multiplying X*Y*Z*intensity
// Therefore, this final interpolation adjusts kSh to be 2^8, avoiding overflow
var
lMi: TMatrixi;
lXr,lYr,lZr,lYxi,lYyi,lYzi,lXxi,lXyi,lXzi,lZxi,lZyi,lZzi,
lYxiZxi,lYyiZyi,lYziZzi,lZ,lY,lX,lOutPos,
lXPiv,lYPiv,lZPiv,lXrM1i,lYrM1i,lZrM1i,
lShr,lShl,lShlTo8,lShl8,
lMinZ,lMaxZ,lMinY,lMaxY,lMaxX,lMinX,lXo,lYo,lZo: integer;
begin
lShl := 1 shl kSh;
lShl8 := 1 shl 8; //8bit precision
lShlTo8 := (kSh - 8); //shr the kSh precision by this to get 8-bit precision
lShr := 24;//24-bits * 8 bit intensity = 32 bits
lXPiv := l.XPivotIn * lShl;
lYPiv := l.YPivotIn * lShl;
lZPiv := l.ZPivotIn * lShl;
for lX := 1 to 3 do
for lY := 1 to 3 do
lMi.matrix[lX,lY] := round(lM.matrix[lX,lY] * lShl);
if (lRenderCutout ) then begin //only separated to unroll IF rendercutout
for lZ := l.ZDimStart to l.ZDimEnd do begin
lZxi := (lZ*lMi.matrix[1,3] );
lZyi := (lZ*lMi.matrix[2,3] );
lZzi := (lZ*lMi.matrix[3,3] );
{$IFDEF SHOWPROG} //flicker with lazarus
if ((lZ mod 30)=0) then
VisualProg(lBar,lZ);
{$ENDIF}
for lY := l.YDimStart to l.YDimEnd do begin
lYxi := lY * lMi.matrix[1,2];
lYyi := lY * lMi.matrix[2,2];
lYzi := lY * lMi.matrix[3,2];
lYxiZxi := (lY * lMi.matrix[1,2] )+lZxi;
lYyiZyi := (lY * lMi.matrix[2,2] )+lZyi;
lYziZzi := (lY * lMi.matrix[3,2] )+lZzi;
FindXBounds (lMaxX,lMinX,l.XDimIN,lYxiZxi,l.XPivotInU2,l.YDimIN,lYyiZyi,l.YPivotInU2,l.ZDimIN,lYziZzi,l.ZPivotInU2,l.OutDim,l.Xxra,l.Xyra,l.Xzra);
lMaxX := lMaxX - l.OutPivot -1 ;
lMinX := lMinX - l.OutPivot+1;
if lMaxX > lMinX then
for lX := lMinX to lMaxX do begin
lXr := ( (lX*lMi.matrix[1,1])+lYxi+lZxi)+lXPiv;
lYr := ((lX*lMi.matrix[2,1])+lYyi+lZyi)+lYPiv;
lZr := ( (lX*lMi.matrix[3,1])+lYzi+lZzi)+lZPiv;
lXo := (lXr shr kSh);
lYo := (lYr shr kSh);
lZo := (lZr shr kSh);
if (lXo > 0) and (lXo < l.XDimIn)
and (lYo > 0) and (lYo < l.YDimIn) and
(lZo > 0) and (lZo < l.ZDimIn) then begin
lXr := (lXr- (lXo * lShl)) shr lShlTo8;
lYr := (lYr- (lYo * lShl)) shr lShlTo8;
lZr := (lZr- (lZo * lShl)) shr lShlTo8;
lXrM1i := lShl8-lXr;
lYrM1i := lShl8-lYr;
lZrM1i := lShl8-lZr;
lMinY := ((lYo-1)*l.XdimIn);
lMinZ := ((lZo-1)*l.InSliceSz);
lMaxY := ((lYo)*l.XdimIn);
lMaxZ := ((lZo)*l.InSliceSz);
lOutPos := ((lZ+l.OutPivot-1)*l.OutSliceSz)+((lY+l.OutPivot-1)*l.Outdim);
if {(lRenderCutout ) and} ((lBuffIn^[lXo+lMinY+lMinZ]=255) or (lBuffIn^[lXo+1+lMinY+lMinZ]=255)
or (lBuffIn^[lXo+lMaxY+lMinZ]=255) or (lBuffIn^[lXo+1+lMaxY+lMinZ]=255)
or (lBuffIn^[lXo+lMinY+lMaxZ]=255) or (lBuffIn^[lXo+1+lMinY+lMaxZ]=255)
or (lBuffIn^[lXo+lMaxY+lMaxZ]=255) or (lBuffIn^[lXo+1+lMaxY+lMaxZ]=255))
then lBuffOut^[lX+l.OutPivot+lOutPos] := 255
else
lBuffOut^[lX+l.OutPivot+lOutPos] := (
(lXrM1i*lYrM1i*lZrM1i *lBuffIn^[lXo+lMinY+lMinZ] )
+(lXr*lYrM1i*lZrM1i *lBuffIn^[lXo+1+lMinY+lMinZ])
+(lXrM1i*lYr*lZrM1i *lBuffIn^[lXo+lMaxY+lMinZ] )
+(lXrM1i*lYrM1i*lZr *lBuffIn^[lXo+lMinY+lMaxZ] )
+(lXr*lYr*lZrM1i *lBuffIn^[lXo+1+lMaxY+lMinZ] )
+(lXr*lYrM1i*lZr *lBuffIn^[lXo+1+lMinY+lMaxZ] )
+(lXrM1i*lYr*lZr *lBuffIn^[lXo+lMaxY+lMaxZ])
+(lXr*lYr*lZr *lBuffIn^[lXo+1+lMaxY+lMaxZ] )
) shr lShr;
end; //values in range
end; //for x
end; //for y
end; //for z
exit;
end; //if RenderCutout
for lZ := l.ZDimStart to l.ZDimEnd do begin
lZxi := (lZ*lMi.matrix[1,3] );
lZyi := (lZ*lMi.matrix[2,3] );
lZzi := (lZ*lMi.matrix[3,3] );
{$IFDEF SHOWPROG} //flicker with lazarus
if ((lZ mod 30)=0) then
VisualProg(lBar,lZ);
{$ENDIF}
for lY := l.YDimStart to l.YDimEnd do begin
lYxi := lY * lMi.matrix[1,2];
lYyi := lY * lMi.matrix[2,2];
lYzi := lY * lMi.matrix[3,2];
lYxiZxi := (lY * lMi.matrix[1,2] )+lZxi;
lYyiZyi := (lY * lMi.matrix[2,2] )+lZyi;
lYziZzi := (lY * lMi.matrix[3,2] )+lZzi;
FindXBounds (lMaxX,lMinX,l.XDimIN,lYxiZxi,l.XPivotInU2,l.YDimIN,lYyiZyi,l.YPivotInU2,l.ZDimIN,lYziZzi,l.ZPivotInU2,l.OutDim,l.Xxra,l.Xyra,l.Xzra);
lMaxX := lMaxX - l.OutPivot -1 ;
lMinX := lMinX - l.OutPivot+1;
if lMaxX > lMinX then
for lX := lMinX to lMaxX do begin
lXr := ( (lX*lMi.matrix[1,1])+lYxi+lZxi)+lXPiv;
lYr := ((lX*lMi.matrix[2,1])+lYyi+lZyi)+lYPiv;
lZr := ( (lX*lMi.matrix[3,1])+lYzi+lZzi)+lZPiv;
lXo := (lXr shr kSh);
lYo := (lYr shr kSh);
lZo := (lZr shr kSh);
if (lXo > 0) and (lXo < l.XDimIn)
and (lYo > 0) and (lYo < l.YDimIn) and
(lZo > 0) and (lZo < l.ZDimIn) then begin
lXr := (lXr- (lXo * lShl)) shr lShlTo8;
lYr := (lYr- (lYo * lShl)) shr lShlTo8;
lZr := (lZr- (lZo * lShl)) shr lShlTo8;
lXrM1i := lShl8-lXr;
lYrM1i := lShl8-lYr;
lZrM1i := lShl8-lZr;
lMinY := ((lYo-1)*l.XdimIn);
lMinZ := ((lZo-1)*l.InSliceSz);
lMaxY := ((lYo)*l.XdimIn);
lMaxZ := ((lZo)*l.InSliceSz);
lOutPos := ((lZ+l.OutPivot-1)*l.OutSliceSz)+((lY+l.OutPivot-1)*l.Outdim);
lBuffOut^[lX+l.OutPivot+lOutPos] :=(
(lXrM1i*lYrM1i*lZrM1i *lBuffIn^[lXo+lMinY+lMinZ] )
+(lXr*lYrM1i*lZrM1i *lBuffIn^[lXo+1+lMinY+lMinZ])
+(lXrM1i*lYr*lZrM1i *lBuffIn^[lXo+lMaxY+lMinZ] )
+(lXrM1i*lYrM1i*lZr *lBuffIn^[lXo+lMinY+lMaxZ] )
+(lXr*lYr*lZrM1i *lBuffIn^[lXo+1+lMaxY+lMinZ] )
+(lXr*lYrM1i*lZr *lBuffIn^[lXo+1+lMinY+lMaxZ] )
+(lXrM1i*lYr*lZr *lBuffIn^[lXo+lMaxY+lMaxZ])
+(lXr*lYr*lZr *lBuffIn^[lXo+1+lMaxY+lMaxZ] )
) shr lShr;
end; //values in range
end; //for x
end; //for y
end; //for z
end;
end.
|