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|00000000| 00 08 56 45 43 54 4f 52 | 2e 48 00 00 00 00 00 00 |..VECTOR|.H......|
|00000010| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000020| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000030| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000040| 00 54 45 58 54 4d 50 53 | 20 01 00 00 00 00 00 00 |.TEXTMPS| .......|
|00000050| 00 00 00 00 00 0e 19 00 | 00 01 ac a8 62 35 3a a8 |........|....b5:.|
|00000060| 62 35 3a 00 00 08 00 00 | 00 00 00 00 00 00 00 00 |b5:.....|........|
|00000070| 00 00 00 00 00 00 00 00 | 00 00 81 81 fe 98 00 00 |........|........|
|00000080| 2f 2a 2a 2a 2a 2a 2a 2a | 2a 2a 2a 2a 2a 2a 2a 2a |/*******|********|
|00000090| 2a 2a 2a 2a 2a 2a 2a 2a | 2a 2a 2a 2a 2a 2a 2a 2a |********|********|
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|000000c0| 2a 2a 2a 2a 2a 2a 2a 2a | 2a 2a 2a 2a 2a 0d 2a 20 |********|*****.* |
|000000d0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 76 |        |       v|
|000000e0| 65 63 74 6f 72 2e 68 0d | 2a 0d 2a 20 20 54 68 69 |ector.h.|*.*  Thi|
|000000f0| 73 20 6d 6f 64 75 6c 65 | 20 63 6f 6e 74 61 69 6e |s module| contain|
|00000100| 73 20 6d 61 63 72 6f 73 | 20 74 6f 20 70 65 72 66 |s macros| to perf|
|00000110| 6f 72 6d 20 6f 70 65 72 | 61 74 69 6f 6e 73 20 6f |orm oper|ations o|
|00000120| 6e 20 76 65 63 74 6f 72 | 73 2e 0d 2a 0d 2a 20 20 |n vector|s..*.*  |
|00000130| 66 72 6f 6d 20 50 65 72 | 73 69 73 74 65 6e 63 65 |from Per|sistence|
|00000140| 20 6f 66 20 56 69 73 69 | 6f 6e 20 52 61 79 74 72 | of Visi|on Raytr|
|00000150| 61 63 65 72 0d 2a 20 20 | 43 6f 70 79 72 69 67 68 |acer.*  |Copyrigh|
|00000160| 74 20 31 39 39 33 20 50 | 65 72 73 69 73 74 65 6e |t 1993 P|ersisten|
|00000170| 63 65 20 6f 66 20 56 69 | 73 69 6f 6e 20 54 65 61 |ce of Vi|sion Tea|
|00000180| 6d 0d 2a 2d 2d 2d 2d 2d | 2d 2d 2d 2d 2d 2d 2d 2d |m.*-----|--------|
|00000190| 2d 2d 2d 2d 2d 2d 2d 2d | 2d 2d 2d 2d 2d 2d 2d 2d |--------|--------|
|000001a0| 2d 2d 2d 2d 2d 2d 2d 2d | 2d 2d 2d 2d 2d 2d 2d 2d |--------|--------|
|000001b0| 2d 2d 2d 2d 2d 2d 2d 2d | 2d 2d 2d 2d 2d 2d 2d 2d |--------|--------|
|000001c0| 2d 2d 2d 2d 2d 2d 2d 2d | 2d 2d 2d 2d 2d 2d 0d 2a |--------|------.*|
|000001d0| 20 20 4e 4f 54 49 43 45 | 3a 20 54 68 69 73 20 73 |  NOTICE|: This s|
|000001e0| 6f 75 72 63 65 20 63 6f | 64 65 20 66 69 6c 65 20 |ource co|de file |
|000001f0| 69 73 20 70 72 6f 76 69 | 64 65 64 20 73 6f 20 74 |is provi|ded so t|
|00000200| 68 61 74 20 75 73 65 72 | 73 20 6d 61 79 20 65 78 |hat user|s may ex|
|00000210| 70 65 72 69 6d 65 6e 74 | 0d 2a 20 20 77 69 74 68 |periment|.*  with|
|00000220| 20 65 6e 68 61 6e 63 65 | 6d 65 6e 74 73 20 74 6f | enhance|ments to|
|00000230| 20 50 4f 56 2d 52 61 79 | 20 61 6e 64 20 74 6f 20 | POV-Ray| and to |
|00000240| 70 6f 72 74 20 74 68 65 | 20 73 6f 66 74 77 61 72 |port the| softwar|
|00000250| 65 20 74 6f 20 70 6c 61 | 74 66 6f 72 6d 73 20 6f |e to pla|tforms o|
|00000260| 74 68 65 72 20 0d 2a 20 | 20 74 68 61 6e 20 74 68 |ther .* | than th|
|00000270| 6f 73 65 20 73 75 70 70 | 6f 72 74 65 64 20 62 79 |ose supp|orted by|
|00000280| 20 74 68 65 20 50 4f 56 | 2d 52 61 79 20 54 65 61 | the POV|-Ray Tea|
|00000290| 6d 2e 20 20 54 68 65 72 | 65 20 61 72 65 20 73 74 |m.  Ther|e are st|
|000002a0| 72 69 63 74 20 72 75 6c | 65 73 20 75 6e 64 65 72 |rict rul|es under|
|000002b0| 0d 2a 20 20 77 68 69 63 | 68 20 79 6f 75 20 61 72 |.*  whic|h you ar|
|000002c0| 65 20 70 65 72 6d 69 74 | 74 65 64 20 74 6f 20 75 |e permit|ted to u|
|000002d0| 73 65 20 74 68 69 73 20 | 66 69 6c 65 2e 20 20 54 |se this |file.  T|
|000002e0| 68 65 20 72 75 6c 65 73 | 20 61 72 65 20 69 6e 20 |he rules| are in |
|000002f0| 74 68 65 20 66 69 6c 65 | 0d 2a 20 20 6e 61 6d 65 |the file|.*  name|
|00000300| 64 20 50 4f 56 4c 45 47 | 41 4c 2e 44 4f 43 20 77 |d POVLEG|AL.DOC w|
|00000310| 68 69 63 68 20 73 68 6f | 75 6c 64 20 62 65 20 64 |hich sho|uld be d|
|00000320| 69 73 74 72 69 62 75 74 | 65 64 20 77 69 74 68 20 |istribut|ed with |
|00000330| 74 68 69 73 20 66 69 6c | 65 2e 20 49 66 20 0d 2a |this fil|e. If .*|
|00000340| 20 20 50 4f 56 4c 45 47 | 41 4c 2e 44 4f 43 20 69 |  POVLEG|AL.DOC i|
|00000350| 73 20 6e 6f 74 20 61 76 | 61 69 6c 61 62 6c 65 20 |s not av|ailable |
|00000360| 6f 72 20 66 6f 72 20 6d | 6f 72 65 20 69 6e 66 6f |or for m|ore info|
|00000370| 20 70 6c 65 61 73 65 20 | 63 6f 6e 74 61 63 74 20 | please |contact |
|00000380| 74 68 65 20 50 4f 56 2d | 52 61 79 0d 2a 20 20 54 |the POV-|Ray.*  T|
|00000390| 65 61 6d 20 43 6f 6f 72 | 64 69 6e 61 74 6f 72 20 |eam Coor|dinator |
|000003a0| 62 79 20 6c 65 61 76 69 | 6e 67 20 61 20 6d 65 73 |by leavi|ng a mes|
|000003b0| 73 61 67 65 20 69 6e 20 | 43 6f 6d 70 75 53 65 72 |sage in |CompuSer|
|000003c0| 76 65 27 73 20 47 72 61 | 70 68 69 63 73 20 44 65 |ve's Gra|phics De|
|000003d0| 76 65 6c 6f 70 65 72 27 | 73 0d 2a 20 20 46 6f 72 |veloper'|s.*  For|
|000003e0| 75 6d 2e 20 20 54 68 65 | 20 6c 61 74 65 73 74 20 |um.  The| latest |
|000003f0| 76 65 72 73 69 6f 6e 20 | 6f 66 20 50 4f 56 2d 52 |version |of POV-R|
|00000400| 61 79 20 6d 61 79 20 62 | 65 20 66 6f 75 6e 64 20 |ay may b|e found |
|00000410| 74 68 65 72 65 20 61 73 | 20 77 65 6c 6c 2e 0d 2a |there as| well..*|
|00000420| 0d 2a 20 54 68 69 73 20 | 70 72 6f 67 72 61 6d 20 |.* This |program |
|00000430| 69 73 20 62 61 73 65 64 | 20 6f 6e 20 74 68 65 20 |is based| on the |
|00000440| 70 6f 70 75 6c 61 72 20 | 44 4b 42 20 72 61 79 74 |popular |DKB rayt|
|00000450| 72 61 63 65 72 20 76 65 | 72 73 69 6f 6e 20 32 2e |racer ve|rsion 2.|
|00000460| 31 32 2e 0d 2a 20 44 4b | 42 54 72 61 63 65 20 77 |12..* DK|BTrace w|
|00000470| 61 73 20 6f 72 69 67 69 | 6e 61 6c 6c 79 20 77 72 |as origi|nally wr|
|00000480| 69 74 74 65 6e 20 62 79 | 20 44 61 76 69 64 20 4b |itten by| David K|
|00000490| 2e 20 42 75 63 6b 2e 0d | 2a 20 44 4b 42 54 72 61 |. Buck..|* DKBTra|
|000004a0| 63 65 20 56 65 72 20 32 | 2e 30 2d 32 2e 31 32 20 |ce Ver 2|.0-2.12 |
|000004b0| 77 65 72 65 20 77 72 69 | 74 74 65 6e 20 62 79 20 |were wri|tten by |
|000004c0| 44 61 76 69 64 20 4b 2e | 20 42 75 63 6b 20 26 20 |David K.| Buck & |
|000004d0| 41 61 72 6f 6e 20 41 2e | 20 43 6f 6c 6c 69 6e 73 |Aaron A.| Collins|
|000004e0| 2e 0d 2a 0d 2a 2a 2a 2a | 2a 2a 2a 2a 2a 2a 2a 2a |..*.****|********|
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|00000530| 2a 2f 0d 0d 2f 2a 20 4d | 69 73 63 2e 20 56 65 63 |*/../* M|isc. Vec|
|00000540| 74 6f 72 20 4d 61 74 68 | 20 4d 61 63 72 6f 20 44 |tor Math| Macro D|
|00000550| 65 66 69 6e 69 74 69 6f | 6e 73 20 2a 2f 0d 0d 65 |efinitio|ns */..e|
|00000560| 78 74 65 72 6e 20 44 42 | 4c 20 56 54 65 6d 70 3b |xtern DB|L VTemp;|
|00000570| 0d 0d 2f 2a 20 56 65 63 | 74 6f 72 20 41 64 64 20 |../* Vec|tor Add |
|00000580| 2a 2f 0d 23 64 65 66 69 | 6e 65 20 56 41 64 64 28 |*/.#defi|ne VAdd(|
|00000590| 61 2c 20 62 2c 20 63 29 | 20 7b 28 61 29 2e 78 3d |a, b, c)| {(a).x=|
|000005a0| 28 62 29 2e 78 2b 28 63 | 29 2e 78 3b 28 61 29 2e |(b).x+(c|).x;(a).|
|000005b0| 79 3d 28 62 29 2e 79 2b | 28 63 29 2e 79 3b 28 61 |y=(b).y+|(c).y;(a|
|000005c0| 29 2e 7a 3d 28 62 29 2e | 7a 2b 28 63 29 2e 7a 3b |).z=(b).|z+(c).z;|
|000005d0| 7d 0d 23 64 65 66 69 6e | 65 20 56 41 64 64 45 71 |}.#defin|e VAddEq|
|000005e0| 28 61 2c 20 62 29 20 7b | 28 61 29 2e 78 2b 3d 28 |(a, b) {|(a).x+=(|
|000005f0| 62 29 2e 78 3b 28 61 29 | 2e 79 2b 3d 28 62 29 2e |b).x;(a)|.y+=(b).|
|00000600| 79 3b 28 61 29 2e 7a 2b | 3d 28 62 29 2e 7a 3b 7d |y;(a).z+|=(b).z;}|
|00000610| 0d 0d 2f 2a 20 56 65 63 | 74 6f 72 20 53 75 62 74 |../* Vec|tor Subt|
|00000620| 72 61 63 74 20 2a 2f 0d | 23 64 65 66 69 6e 65 20 |ract */.|#define |
|00000630| 56 53 75 62 28 61 2c 20 | 62 2c 20 63 29 20 7b 28 |VSub(a, |b, c) {(|
|00000640| 61 29 2e 78 3d 28 62 29 | 2e 78 2d 28 63 29 2e 78 |a).x=(b)|.x-(c).x|
|00000650| 3b 28 61 29 2e 79 3d 28 | 62 29 2e 79 2d 28 63 29 |;(a).y=(|b).y-(c)|
|00000660| 2e 79 3b 28 61 29 2e 7a | 3d 28 62 29 2e 7a 2d 28 |.y;(a).z|=(b).z-(|
|00000670| 63 29 2e 7a 3b 7d 0d 23 | 64 65 66 69 6e 65 20 56 |c).z;}.#|define V|
|00000680| 53 75 62 45 71 28 61 2c | 20 62 29 20 7b 28 61 29 |SubEq(a,| b) {(a)|
|00000690| 2e 78 2d 3d 28 62 29 2e | 78 3b 28 61 29 2e 79 2d |.x-=(b).|x;(a).y-|
|000006a0| 3d 28 62 29 2e 79 3b 28 | 61 29 2e 7a 2d 3d 28 62 |=(b).y;(|a).z-=(b|
|000006b0| 29 2e 7a 3b 7d 0d 0d 2f | 2a 20 53 63 61 6c 65 20 |).z;}../|* Scale |
|000006c0| 2d 20 4d 75 6c 74 69 70 | 6c 79 20 56 65 63 74 6f |- Multip|ly Vecto|
|000006d0| 72 20 62 79 20 61 20 53 | 63 61 6c 61 72 20 2a 2f |r by a S|calar */|
|000006e0| 0d 23 64 65 66 69 6e 65 | 20 56 53 63 61 6c 65 28 |.#define| VScale(|
|000006f0| 61 2c 20 62 2c 20 6b 29 | 20 7b 28 61 29 2e 78 3d |a, b, k)| {(a).x=|
|00000700| 28 62 29 2e 78 2a 28 6b | 29 3b 28 61 29 2e 79 3d |(b).x*(k|);(a).y=|
|00000710| 28 62 29 2e 79 2a 28 6b | 29 3b 28 61 29 2e 7a 3d |(b).y*(k|);(a).z=|
|00000720| 28 62 29 2e 7a 2a 28 6b | 29 3b 7d 0d 23 64 65 66 |(b).z*(k|);}.#def|
|00000730| 69 6e 65 20 56 53 63 61 | 6c 65 45 71 28 61 2c 20 |ine VSca|leEq(a, |
|00000740| 6b 29 20 7b 28 61 29 2e | 78 2a 3d 28 6b 29 3b 28 |k) {(a).|x*=(k);(|
|00000750| 61 29 2e 79 2a 3d 28 6b | 29 3b 28 61 29 2e 7a 2a |a).y*=(k|);(a).z*|
|00000760| 3d 28 6b 29 3b 7d 0d 0d | 2f 2a 20 49 6e 76 65 72 |=(k);}..|/* Inver|
|00000770| 73 65 20 53 63 61 6c 65 | 20 2d 20 44 69 76 69 64 |se Scale| - Divid|
|00000780| 65 20 56 65 63 74 6f 72 | 20 62 79 20 61 20 53 63 |e Vector| by a Sc|
|00000790| 61 6c 61 72 20 2a 2f 0d | 23 64 65 66 69 6e 65 20 |alar */.|#define |
|000007a0| 56 49 6e 76 65 72 73 65 | 53 63 61 6c 65 28 61 2c |VInverse|Scale(a,|
|000007b0| 20 62 2c 20 6b 29 20 7b | 28 61 29 2e 78 3d 28 62 | b, k) {|(a).x=(b|
|000007c0| 29 2e 78 2f 28 6b 29 3b | 28 61 29 2e 79 3d 28 62 |).x/(k);|(a).y=(b|
|000007d0| 29 2e 79 2f 28 6b 29 3b | 28 61 29 2e 7a 3d 28 62 |).y/(k);|(a).z=(b|
|000007e0| 29 2e 7a 2f 28 6b 29 3b | 7d 0d 23 64 65 66 69 6e |).z/(k);|}.#defin|
|000007f0| 65 20 56 49 6e 76 65 72 | 73 65 53 63 61 6c 65 45 |e VInver|seScaleE|
|00000800| 71 28 61 2c 20 6b 29 20 | 7b 28 61 29 2e 78 2f 3d |q(a, k) |{(a).x/=|
|00000810| 28 6b 29 3b 28 61 29 2e | 79 2f 3d 28 6b 29 3b 28 |(k);(a).|y/=(k);(|
|00000820| 61 29 2e 7a 2f 3d 28 6b | 29 3b 7d 0d 0d 2f 2a 20 |a).z/=(k|);}../* |
|00000830| 44 6f 74 20 50 72 6f 64 | 75 63 74 20 2d 20 47 69 |Dot Prod|uct - Gi|
|00000840| 76 65 73 20 53 63 61 6c | 61 72 20 61 6e 67 6c 65 |ves Scal|ar angle|
|00000850| 20 28 61 29 20 62 65 74 | 77 65 65 6e 20 74 77 6f | (a) bet|ween two|
|00000860| 20 76 65 63 74 6f 72 73 | 20 28 62 29 20 61 6e 64 | vectors| (b) and|
|00000870| 20 28 63 29 20 2a 2f 0d | 23 64 65 66 69 6e 65 20 | (c) */.|#define |
|00000880| 56 44 6f 74 28 61 2c 20 | 62 2c 20 63 29 20 7b 61 |VDot(a, |b, c) {a|
|00000890| 3d 28 62 29 2e 78 2a 28 | 63 29 2e 78 2b 28 62 29 |=(b).x*(|c).x+(b)|
|000008a0| 2e 79 2a 28 63 29 2e 79 | 2b 28 62 29 2e 7a 2a 28 |.y*(c).y|+(b).z*(|
|000008b0| 63 29 2e 7a 3b 7d 0d 0d | 2f 2a 20 43 72 6f 73 73 |c).z;}..|/* Cross|
|000008c0| 20 50 72 6f 64 75 63 74 | 20 2d 20 72 65 74 75 72 | Product| - retur|
|000008d0| 6e 73 20 56 65 63 74 6f | 72 20 28 61 29 20 3d 20 |ns Vecto|r (a) = |
|000008e0| 28 62 29 20 78 20 28 63 | 29 20 0d 20 20 20 57 41 |(b) x (c|) .   WA|
|000008f0| 52 4e 49 4e 47 3a 20 20 | 61 20 6d 75 73 74 20 62 |RNING:  |a must b|
|00000900| 65 20 64 69 66 66 65 72 | 65 6e 74 20 66 72 6f 6d |e differ|ent from|
|00000910| 20 62 20 61 6e 64 20 63 | 2e 2a 2f 0d 23 64 65 66 | b and c|.*/.#def|
|00000920| 69 6e 65 20 56 43 72 6f | 73 73 28 61 2c 62 2c 63 |ine VCro|ss(a,b,c|
|00000930| 29 20 7b 28 61 29 2e 78 | 3d 28 62 29 2e 79 2a 28 |) {(a).x|=(b).y*(|
|00000940| 63 29 2e 7a 2d 28 62 29 | 2e 7a 2a 28 63 29 2e 79 |c).z-(b)|.z*(c).y|
|00000950| 3b 20 5c 0d 20 20 20 20 | 20 20 20 20 20 20 20 20 |; \.    |        |
|00000960| 20 20 20 20 20 20 20 20 | 20 20 20 28 61 29 2e 79 |        |   (a).y|
|00000970| 3d 28 62 29 2e 7a 2a 28 | 63 29 2e 78 2d 28 62 29 |=(b).z*(|c).x-(b)|
|00000980| 2e 78 2a 28 63 29 2e 7a | 3b 20 5c 0d 20 20 20 20 |.x*(c).z|; \.    |
|00000990| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000009a0| 20 20 20 28 61 29 2e 7a | 3d 28 62 29 2e 78 2a 28 |   (a).z|=(b).x*(|
|000009b0| 63 29 2e 79 2d 28 62 29 | 2e 79 2a 28 63 29 2e 78 |c).y-(b)|.y*(c).x|
|000009c0| 3b 7d 0d 0d 2f 2a 20 45 | 76 61 6c 75 61 74 65 20 |;}../* E|valuate |
|000009d0| 2d 20 72 65 74 75 72 6e | 73 20 56 65 63 74 6f 72 |- return|s Vector|
|000009e0| 20 28 61 29 20 3d 20 4d | 75 6c 74 69 70 6c 79 20 | (a) = M|ultiply |
|000009f0| 56 65 63 74 6f 72 20 28 | 62 29 20 62 79 20 56 65 |Vector (|b) by Ve|
|00000a00| 63 74 6f 72 20 28 63 29 | 20 2a 2f 0d 23 64 65 66 |ctor (c)| */.#def|
|00000a10| 69 6e 65 20 56 45 76 61 | 6c 75 61 74 65 28 61 2c |ine VEva|luate(a,|
|00000a20| 20 62 2c 20 63 29 20 7b | 28 61 29 2e 78 3d 28 62 | b, c) {|(a).x=(b|
|00000a30| 29 2e 78 2a 28 63 29 2e | 78 3b 28 61 29 2e 79 3d |).x*(c).|x;(a).y=|
|00000a40| 28 62 29 2e 79 2a 28 63 | 29 2e 79 3b 28 61 29 2e |(b).y*(c|).y;(a).|
|00000a50| 7a 3d 28 62 29 2e 7a 2a | 28 63 29 2e 7a 3b 7d 0d |z=(b).z*|(c).z;}.|
|00000a60| 23 64 65 66 69 6e 65 20 | 56 45 76 61 6c 75 61 74 |#define |VEvaluat|
|00000a70| 65 45 71 28 61 2c 20 62 | 29 20 7b 28 61 29 2e 78 |eEq(a, b|) {(a).x|
|00000a80| 2a 3d 28 62 29 2e 78 3b | 28 61 29 2e 79 2a 3d 28 |*=(b).x;|(a).y*=(|
|00000a90| 62 29 2e 79 3b 28 61 29 | 2e 7a 2a 3d 28 62 29 2e |b).y;(a)|.z*=(b).|
|00000aa0| 7a 3b 7d 0d 0d 2f 2a 20 | 44 69 76 69 64 65 20 2d |z;}../* |Divide -|
|00000ab0| 20 72 65 74 75 72 6e 73 | 20 56 65 63 74 6f 72 20 | returns| Vector |
|00000ac0| 28 61 29 20 3d 20 44 69 | 76 69 64 65 20 56 65 63 |(a) = Di|vide Vec|
|00000ad0| 74 6f 72 20 28 62 29 20 | 62 79 20 56 65 63 74 6f |tor (b) |by Vecto|
|00000ae0| 72 20 28 63 29 20 2a 2f | 0d 23 64 65 66 69 6e 65 |r (c) */|.#define|
|00000af0| 20 56 44 69 76 28 61 2c | 20 62 2c 20 63 29 20 7b | VDiv(a,| b, c) {|
|00000b00| 28 61 29 2e 78 3d 28 62 | 29 2e 78 2f 28 63 29 2e |(a).x=(b|).x/(c).|
|00000b10| 78 3b 28 61 29 2e 79 3d | 28 62 29 2e 79 2f 28 63 |x;(a).y=|(b).y/(c|
|00000b20| 29 2e 79 3b 28 61 29 2e | 7a 3d 28 62 29 2e 7a 2f |).y;(a).|z=(b).z/|
|00000b30| 28 63 29 2e 7a 3b 7d 0d | 23 64 65 66 69 6e 65 20 |(c).z;}.|#define |
|00000b40| 56 44 69 76 45 71 28 61 | 2c 20 62 29 20 7b 28 61 |VDivEq(a|, b) {(a|
|00000b50| 29 2e 78 2f 3d 28 62 29 | 2e 78 3b 28 61 29 2e 79 |).x/=(b)|.x;(a).y|
|00000b60| 2f 3d 28 62 29 2e 79 3b | 28 61 29 2e 7a 2f 3d 28 |/=(b).y;|(a).z/=(|
|00000b70| 62 29 2e 7a 3b 7d 0d 0d | 2f 2a 20 53 71 75 61 72 |b).z;}..|/* Squar|
|00000b80| 65 20 61 20 56 65 63 74 | 6f 72 20 2a 2f 0d 23 64 |e a Vect|or */.#d|
|00000b90| 65 66 69 6e 65 09 56 53 | 71 72 28 61 29 20 7b 28 |efine.VS|qr(a) {(|
|00000ba0| 61 29 2e 78 2a 28 61 29 | 2e 78 3b 28 61 29 2e 79 |a).x*(a)|.x;(a).y|
|00000bb0| 2a 28 61 29 2e 79 3b 28 | 61 29 2e 7a 2a 28 61 29 |*(a).y;(|a).z*(a)|
|00000bc0| 2e 7a 3b 7d 0d 0d 2f 2a | 20 53 69 6d 70 6c 65 20 |.z;}../*| Simple |
|00000bd0| 53 63 61 6c 61 72 20 53 | 71 75 61 72 65 20 4d 61 |Scalar S|quare Ma|
|00000be0| 63 72 6f 20 2a 2f 0d 23 | 64 65 66 69 6e 65 09 53 |cro */.#|define.S|
|00000bf0| 71 72 28 61 29 09 28 28 | 61 29 2a 28 61 29 29 0d |qr(a).((|a)*(a)).|
|00000c00| 0d 2f 2a 20 53 71 75 61 | 72 65 20 61 20 56 65 63 |./* Squa|re a Vec|
|00000c10| 74 6f 72 20 28 62 29 20 | 61 6e 64 20 41 73 73 69 |tor (b) |and Assi|
|00000c20| 67 6e 20 74 6f 20 61 6e | 6f 74 68 65 72 20 56 65 |gn to an|other Ve|
|00000c30| 63 74 6f 72 20 28 61 29 | 20 2a 2f 0d 23 64 65 66 |ctor (a)| */.#def|
|00000c40| 69 6e 65 20 56 53 71 75 | 61 72 65 54 65 72 6d 73 |ine VSqu|areTerms|
|00000c50| 28 61 2c 20 62 29 20 7b | 28 61 29 2e 78 3d 28 62 |(a, b) {|(a).x=(b|
|00000c60| 29 2e 78 2a 28 62 29 2e | 78 3b 28 61 29 2e 79 3d |).x*(b).|x;(a).y=|
|00000c70| 28 62 29 2e 79 2a 28 62 | 29 2e 79 3b 28 61 29 2e |(b).y*(b|).y;(a).|
|00000c80| 7a 3d 28 62 29 2e 7a 2a | 28 62 29 2e 7a 3b 7d 0d |z=(b).z*|(b).z;}.|
|00000c90| 0d 2f 2a 20 56 65 63 74 | 6f 72 20 4c 65 6e 67 74 |./* Vect|or Lengt|
|00000ca0| 68 20 2d 20 72 65 74 75 | 72 73 20 53 63 61 6c 61 |h - retu|rs Scala|
|00000cb0| 72 20 45 75 63 6c 69 64 | 65 61 6e 20 4c 65 6e 67 |r Euclid|ean Leng|
|00000cc0| 74 68 20 28 61 29 20 6f | 66 20 56 65 63 74 6f 72 |th (a) o|f Vector|
|00000cd0| 20 28 62 29 20 2a 2f 0d | 23 64 65 66 69 6e 65 20 | (b) */.|#define |
|00000ce0| 56 4c 65 6e 67 74 68 28 | 61 2c 20 62 29 20 7b 61 |VLength(|a, b) {a|
|00000cf0| 3d 73 71 72 74 28 28 62 | 29 2e 78 2a 28 62 29 2e |=sqrt((b|).x*(b).|
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+--------+-------------------------+-------------------------+--------+--------+