Reference Codebot.Geometry.pas

The Codebot.Geometry unit defines the types used for 2D and 3D math.

TVec2, TVec3, and TVec4 are vectors of two, three, and four components, which are built using the Vec routines.
TMatrix4x4 transforms vertices in 3D, while TMatrix2x2 and TMatrix2x3 are matrices for 2D.
TQuaternion represents a rotation in 3D.
TLine2 is a 2D line, and TCurve2 and TBezier2 are 2D bezier curves.

The unit also provides Triangulate, which cuts a simple polygon into triangles.

Items 188 items

Name	Kind	Line
Bezier2	function	463
DefaultRotationOrder	variable	480
Line2	function	404, 406
StockDirection	constant	467
StockMatrix	constant	470
StockQuaternion	constant	476
TBezier2	record	443
P	field	456
P0	field	455
P1	field	455
P2	field	455
P3	field	455
Create	function	448
Flatten	function	452
TCurve2	record	414
D	field	428
Distance	field	426
P	field	430
Explicit	operator	419
FindNormal	function	421
FindPoint	function	423
Implicit	operator	417
TDirection	alias	148
TLine2	record	381
P	field	398
P0	field	397
P1	field	397
Distance	function	392
FindPoint	function	390
Intersects	function	394
Multiply	operator	384
Normal	function	388
Slope	function	386
TMatrix	alias	280
TMatrix2x2	record	287
A	field	295
B	field	295
C	field	295
D	field	295
V	field	296
Create	function	289
Multiply	operator	291
Transform	function	293
TMatrix2x3	record	308
A	field	340
B	field	340
C	field	340
D	field	340
TX	field	340
TY	field	340
V	field	341
Create	function	310
CreateRigid	function	320
CreateRotate	function	318
CreateScale	function	316
CreateTranslate	function	314
CreateTranspose	function	312
Identity	procedure	330
Implicit	operator	328
Inverse	function	332
RigidInverse	function	334
Transform	function	336
TransformVector	function	338
TMatrix4x4	record	218
M	field	273
M0	field	274
M1	field	274
M2	field	274
M3	field	274
V	field	275
CanInvert	function	235
Equals	function	231
Frustum	procedure	267
Identity	procedure	233
Invert	function	237
LookAt	procedure	271
Ortho	procedure	269
Perspective	procedure	265
Project	function	263
Rotate	procedure	241, 243
RotateAt	procedure	245, 247
Scale	procedure	249
ScaleAt	procedure	251
Transform	function	255, 257, 259
Translate	procedure	253
Transpose	procedure	239
TPolygon	alias	95
TQuaternion	record	348
Q	field	361
W	field	360
X	field	360
Y	field	360
Z	field	360
Conjugate	procedure	356
Explicit	operator	350
Implicit	operator	352
Multiply	operator	354
Normalize	procedure	358
Triangulate	function	488, 489
TRotationOrder	enum	212
roXYZ	enum value	212
roYZX	enum value	212
roZXY	enum value	212
roXZY	enum value	212
roZYX	enum value	212
roYXZ	enum value	212
TSlope2	record	368
Intercept	field	374
Ratio	field	372
Undefined	field	370
TTransformOrder	enum	210
toTRS	enum value	210
toRST	enum value	210
toSTR	enum value	210
toTSR	enum value	210
toSRT	enum value	210
toRTS	enum value	210
TVec1	alias	23
TVec2	record	33
S	field	86
T	field	86
V	field	88
Vec1	field	87
X	field	85
Y	field	85
Angle	function	55, 57, 58
Binormal	function	75
Distance	function	60, 62, 63
Equals	function	53
Extend	function	79
Mid	function	77
Move	function	68, 69
Normal	function	73
Normalize	procedure	71
Offset	procedure	65, 66
Rotate	function	81
TVec3	record	101
B	field	135
Blue	field	136
G	field	135
Green	field	136
Heading	field	137
Hue	field	138
Lightness	field	138
Pitch	field	137
R	field	135
Red	field	136
Roll	field	137
Saturation	field	138
V	field	141
V1	field	139
V2	field	140
X	field	134
Y	field	134
Z	field	134
Angle	function	117
Blend	function	119
Cross	function	121
Distance	function	125, 127, 128
Dot	function	123
Equals	function	115
Normalize	procedure	130
TVec4	record	154
A	field	171
Alpha	field	172
B	field	171
Blue	field	172
G	field	171
Green	field	172
R	field	171
Red	field	172
S0	field	173
S1	field	173
T0	field	173
T1	field	173
V	field	177
Vec1	field	174
Vec2	field	175
Vec3	field	176
W	field	170
X	field	170
Y	field	170
Z	field	170
Equals	function	166
Vec	function	186, 187, 188, 189, 190, 191
Vec2	function	194, 195, 196, 197
Vec3	function	200, 201, 202
Vec4	function	204, 205