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| MacBinary | 1993-07-28 | 13.6 KB | [TEXT/MPS ] |
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| Confidence | Program | Detection | Match Type | Support
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| dexvert
| Compact Compressed (Unix) (archive/compact)
| ext
| Supported |
| 10%
| dexvert
| MacBinary (archive/macBinary)
| fallback
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| dexvert
| Text File (text/txt)
| fallback
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| 100%
| file
| MacBinary II, inited, Wed Jul 28 19:52:58 1993, modified Wed Jul 28 19:52:58 1993, creator 'MPS ', type ASCII, 13246 bytes "MATRICES.C" , at 0x343e 428 bytes resource
| default (weak)
| |
| 99%
| file
| data
| default
| |
| 74%
| TrID
| Macintosh plain text (MacBinary)
| default
| |
| 25%
| TrID
| MacBinary 2
| default (weak)
| |
| 100%
| lsar
| MacBinary
| default
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| id metadata |
|---|
| key | value |
|---|
| macFileType | [TEXT] |
| macFileCreator | [MPS ] |
hex view+--------+-------------------------+-------------------------+--------+--------+
|00000000| 00 0a 4d 41 54 52 49 43 | 45 53 2e 43 00 00 00 00 |..MATRIC|ES.C....|
|00000010| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
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|00000040| 00 54 45 58 54 4d 50 53 | 20 01 00 00 00 00 00 00 |.TEXTMPS| .......|
|00000050| 00 00 00 00 00 33 be 00 | 00 01 ac a8 7c c1 da a8 |.....3..|....|...|
|00000060| 7c c1 da 00 00 08 00 00 | 00 00 00 00 00 00 00 00 ||.......|........|
|00000070| 00 00 00 00 00 00 00 00 | 00 00 81 81 07 8f 00 00 |........|........|
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|000000d0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 6d | | m|
|000000e0| 61 74 72 69 63 65 73 2e | 63 0d 2a 0d 2a 20 20 54 |atrices.|c.*.* T|
|000000f0| 68 69 73 20 6d 6f 64 75 | 6c 65 20 63 6f 6e 74 61 |his modu|le conta|
|00000100| 69 6e 73 20 63 6f 64 65 | 20 74 6f 20 6d 61 6e 69 |ins code| to mani|
|00000110| 70 75 6c 61 74 65 20 34 | 78 34 20 6d 61 74 72 69 |pulate 4|x4 matri|
|00000120| 63 65 73 2e 0d 2a 0d 2a | 20 20 66 72 6f 6d 20 50 |ces..*.*| from P|
|00000130| 65 72 73 69 73 74 65 6e | 63 65 20 6f 66 20 56 69 |ersisten|ce of Vi|
|00000140| 73 69 6f 6e 20 52 61 79 | 74 72 61 63 65 72 0d 2a |sion Ray|tracer.*|
|00000150| 20 20 43 6f 70 79 72 69 | 67 68 74 20 31 39 39 33 | Copyri|ght 1993|
|00000160| 20 50 65 72 73 69 73 74 | 65 6e 63 65 20 6f 66 20 | Persist|ence of |
|00000170| 56 69 73 69 6f 6e 20 54 | 65 61 6d 0d 2a 2d 2d 2d |Vision T|eam.*---|
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|000001c0| 2d 2d 2d 2d 2d 2d 2d 2d | 0d 2a 20 20 4e 4f 54 49 |--------|.* NOTI|
|000001d0| 43 45 3a 20 54 68 69 73 | 20 73 6f 75 72 63 65 20 |CE: This| source |
|000001e0| 63 6f 64 65 20 66 69 6c | 65 20 69 73 20 70 72 6f |code fil|e is pro|
|000001f0| 76 69 64 65 64 20 73 6f | 20 74 68 61 74 20 75 73 |vided so| that us|
|00000200| 65 72 73 20 6d 61 79 20 | 65 78 70 65 72 69 6d 65 |ers may |experime|
|00000210| 6e 74 0d 2a 20 20 77 69 | 74 68 20 65 6e 68 61 6e |nt.* wi|th enhan|
|00000220| 63 65 6d 65 6e 74 73 20 | 74 6f 20 50 4f 56 2d 52 |cements |to POV-R|
|00000230| 61 79 20 61 6e 64 20 74 | 6f 20 70 6f 72 74 20 74 |ay and t|o port t|
|00000240| 68 65 20 73 6f 66 74 77 | 61 72 65 20 74 6f 20 70 |he softw|are to p|
|00000250| 6c 61 74 66 6f 72 6d 73 | 20 6f 74 68 65 72 20 0d |latforms| other .|
|00000260| 2a 20 20 74 68 61 6e 20 | 74 68 6f 73 65 20 73 75 |* than |those su|
|00000270| 70 70 6f 72 74 65 64 20 | 62 79 20 74 68 65 20 50 |pported |by the P|
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|00000310| 68 6f 75 6c 64 20 62 65 | 20 64 69 73 74 72 69 62 |hould be| distrib|
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|00000350| 61 76 61 69 6c 61 62 6c | 65 20 6f 72 20 66 6f 72 |availabl|e or for|
|00000360| 20 6d 6f 72 65 20 69 6e | 66 6f 20 70 6c 65 61 73 | more in|fo pleas|
|00000370| 65 20 63 6f 6e 74 61 63 | 74 20 74 68 65 20 50 4f |e contac|t the PO|
|00000380| 56 2d 52 61 79 0d 2a 20 | 20 54 65 61 6d 20 43 6f |V-Ray.* | Team Co|
|00000390| 6f 72 64 69 6e 61 74 6f | 72 20 62 79 20 6c 65 61 |ordinato|r by lea|
|000003a0| 76 69 6e 67 20 61 20 6d | 65 73 73 61 67 65 20 69 |ving a m|essage i|
|000003b0| 6e 20 43 6f 6d 70 75 53 | 65 72 76 65 27 73 20 47 |n CompuS|erve's G|
|000003c0| 72 61 70 68 69 63 73 20 | 44 65 76 65 6c 6f 70 65 |raphics |Develope|
|000003d0| 72 27 73 0d 2a 20 20 46 | 6f 72 75 6d 2e 20 20 54 |r's.* F|orum. T|
|000003e0| 68 65 20 6c 61 74 65 73 | 74 20 76 65 72 73 69 6f |he lates|t versio|
|000003f0| 6e 20 6f 66 20 50 4f 56 | 2d 52 61 79 20 6d 61 79 |n of POV|-Ray may|
|00000400| 20 62 65 20 66 6f 75 6e | 64 20 74 68 65 72 65 20 | be foun|d there |
|00000410| 61 73 20 77 65 6c 6c 2e | 0d 2a 0d 2a 20 54 68 69 |as well.|.*.* Thi|
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|00000430| 65 64 20 6f 6e 20 74 68 | 65 20 70 6f 70 75 6c 61 |ed on th|e popula|
|00000440| 72 20 44 4b 42 20 72 61 | 79 74 72 61 63 65 72 20 |r DKB ra|ytracer |
|00000450| 76 65 72 73 69 6f 6e 20 | 32 2e 31 32 2e 0d 2a 20 |version |2.12..* |
|00000460| 44 4b 42 54 72 61 63 65 | 20 77 61 73 20 6f 72 69 |DKBTrace| was ori|
|00000470| 67 69 6e 61 6c 6c 79 20 | 77 72 69 74 74 65 6e 20 |ginally |written |
|00000480| 62 79 20 44 61 76 69 64 | 20 4b 2e 20 42 75 63 6b |by David| K. Buck|
|00000490| 2e 0d 2a 20 44 4b 42 54 | 72 61 63 65 20 56 65 72 |..* DKBT|race Ver|
|000004a0| 20 32 2e 30 2d 32 2e 31 | 32 20 77 65 72 65 20 77 | 2.0-2.1|2 were w|
|000004b0| 72 69 74 74 65 6e 20 62 | 79 20 44 61 76 69 64 20 |ritten b|y David |
|000004c0| 4b 2e 20 42 75 63 6b 20 | 26 20 41 61 72 6f 6e 20 |K. Buck |& Aaron |
|000004d0| 41 2e 20 43 6f 6c 6c 69 | 6e 73 2e 0d 2a 0d 2a 2a |A. Colli|ns..*.**|
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|00000520| 2a 2a 2a 2a 2a 2a 2a 2a | 2a 2a 2a 2f 0d 0d 23 69 |********|***/..#i|
|00000530| 6e 63 6c 75 64 65 20 22 | 66 72 61 6d 65 2e 68 22 |nclude "|frame.h"|
|00000540| 0d 23 69 6e 63 6c 75 64 | 65 20 22 76 65 63 74 6f |.#includ|e "vecto|
|00000550| 72 2e 68 22 0d 23 69 6e | 63 6c 75 64 65 20 22 70 |r.h".#in|clude "p|
|00000560| 6f 76 70 72 6f 74 6f 2e | 68 22 0d 0d 76 6f 69 64 |ovproto.|h"..void|
|00000570| 20 4d 5a 65 72 6f 20 28 | 72 65 73 75 6c 74 29 0d | MZero (|result).|
|00000580| 4d 41 54 52 49 58 20 2a | 72 65 73 75 6c 74 3b 0d |MATRIX *|result;.|
|00000590| 20 20 7b 0d 20 20 2f 2a | 20 49 6e 69 74 69 61 6c | {. /*| Initial|
|000005a0| 69 7a 65 20 74 68 65 20 | 6d 61 74 72 69 78 20 74 |ize the |matrix t|
|000005b0| 6f 20 74 68 65 20 66 6f | 6c 6c 6f 77 69 6e 67 20 |o the fo|llowing |
|000005c0| 76 61 6c 75 65 73 3a 0d | 20 20 20 30 2e 30 20 20 |values:.| 0.0 |
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|000005e0| 0d 20 20 20 30 2e 30 20 | 20 20 30 2e 30 20 20 20 |. 0.0 | 0.0 |
|000005f0| 30 2e 30 20 20 20 30 2e | 30 0d 20 20 20 30 2e 30 |0.0 0.|0. 0.0|
|00000600| 20 20 20 30 2e 30 20 20 | 20 30 2e 30 20 20 20 30 | 0.0 | 0.0 0|
|00000610| 2e 30 0d 20 20 20 30 2e | 30 20 20 20 30 2e 30 20 |.0. 0.|0 0.0 |
|00000620| 20 20 30 2e 30 20 20 20 | 30 2e 30 0d 2a 2f 0d 20 | 0.0 |0.0.*/. |
|00000630| 20 72 65 67 69 73 74 65 | 72 20 69 6e 74 20 69 2c | registe|r int i,|
|00000640| 20 6a 3b 0d 0d 20 20 66 | 6f 72 20 28 69 20 3d 20 | j;.. f|or (i = |
|00000650| 30 20 3b 20 69 20 3c 20 | 34 20 3b 20 69 2b 2b 29 |0 ; i < |4 ; i++)|
|00000660| 0d 20 20 20 20 66 6f 72 | 20 28 6a 20 3d 20 30 20 |. for| (j = 0 |
|00000670| 3b 20 6a 20 3c 20 34 20 | 3b 20 6a 2b 2b 29 0d 20 |; j < 4 |; j++). |
|00000680| 20 20 20 28 2a 72 65 73 | 75 6c 74 29 5b 69 5d 5b | (*res|ult)[i][|
|00000690| 6a 5d 20 3d 20 30 2e 30 | 3b 0d 20 20 7d 0d 0d 76 |j] = 0.0|;. }..v|
|000006a0| 6f 69 64 20 4d 49 64 65 | 6e 74 69 74 79 20 28 72 |oid MIde|ntity (r|
|000006b0| 65 73 75 6c 74 29 0d 4d | 41 54 52 49 58 20 2a 72 |esult).M|ATRIX *r|
|000006c0| 65 73 75 6c 74 3b 0d 20 | 20 7b 0d 20 20 2f 2a 20 |esult;. | {. /* |
|000006d0| 49 6e 69 74 69 61 6c 69 | 7a 65 20 74 68 65 20 6d |Initiali|ze the m|
|000006e0| 61 74 72 69 78 20 74 6f | 20 74 68 65 20 66 6f 6c |atrix to| the fol|
|000006f0| 6c 6f 77 69 6e 67 20 76 | 61 6c 75 65 73 3a 0d 20 |lowing v|alues:. |
|00000700| 20 20 31 2e 30 20 20 20 | 30 2e 30 20 20 20 30 2e | 1.0 |0.0 0.|
|00000710| 30 20 20 20 30 2e 30 0d | 20 20 20 30 2e 30 20 20 |0 0.0.| 0.0 |
|00000720| 20 31 2e 30 20 20 20 30 | 2e 30 20 20 20 30 2e 30 | 1.0 0|.0 0.0|
|00000730| 0d 20 20 20 30 2e 30 20 | 20 20 30 2e 30 20 20 20 |. 0.0 | 0.0 |
|00000740| 31 2e 30 20 20 20 30 2e | 30 0d 20 20 20 30 2e 30 |1.0 0.|0. 0.0|
|00000750| 20 20 20 30 2e 30 20 20 | 20 30 2e 30 20 20 20 31 | 0.0 | 0.0 1|
|00000760| 2e 30 0d 2a 2f 0d 20 20 | 72 65 67 69 73 74 65 72 |.0.*/. |register|
|00000770| 20 69 6e 74 20 69 2c 20 | 6a 3b 0d 0d 20 20 66 6f | int i, |j;.. fo|
|00000780| 72 20 28 69 20 3d 20 30 | 20 3b 20 69 20 3c 20 34 |r (i = 0| ; i < 4|
|00000790| 20 3b 20 69 2b 2b 29 0d | 20 20 20 20 66 6f 72 20 | ; i++).| for |
|000007a0| 28 6a 20 3d 20 30 20 3b | 20 6a 20 3c 20 34 20 3b |(j = 0 ;| j < 4 ;|
|000007b0| 20 6a 2b 2b 29 0d 20 20 | 20 20 69 66 20 28 69 20 | j++). | if (i |
|000007c0| 3d 3d 20 6a 29 0d 20 20 | 20 20 20 20 28 2a 72 65 |== j). | (*re|
|000007d0| 73 75 6c 74 29 5b 69 5d | 5b 6a 5d 20 3d 20 31 2e |sult)[i]|[j] = 1.|
|000007e0| 30 3b 0d 20 20 20 20 65 | 6c 73 65 0d 20 20 20 20 |0;. e|lse. |
|000007f0| 20 20 28 2a 72 65 73 75 | 6c 74 29 5b 69 5d 5b 6a | (*resu|lt)[i][j|
|00000800| 5d 20 3d 20 30 2e 30 3b | 0d 20 20 7d 0d 0d 76 6f |] = 0.0;|. }..vo|
|00000810| 69 64 20 4d 54 69 6d 65 | 73 20 28 72 65 73 75 6c |id MTime|s (resul|
|00000820| 74 2c 20 6d 61 74 72 69 | 78 31 2c 20 6d 61 74 72 |t, matri|x1, matr|
|00000830| 69 78 32 29 0d 4d 41 54 | 52 49 58 20 2a 72 65 73 |ix2).MAT|RIX *res|
|00000840| 75 6c 74 2c 20 2a 6d 61 | 74 72 69 78 31 2c 20 2a |ult, *ma|trix1, *|
|00000850| 6d 61 74 72 69 78 32 3b | 0d 20 20 7b 0d 20 20 72 |matrix2;|. {. r|
|00000860| 65 67 69 73 74 65 72 20 | 69 6e 74 20 69 2c 20 6a |egister |int i, j|
|00000870| 2c 20 6b 3b 0d 20 20 4d | 41 54 52 49 58 20 74 65 |, k;. M|ATRIX te|
|00000880| 6d 70 5f 6d 61 74 72 69 | 78 3b 0d 0d 20 20 66 6f |mp_matri|x;.. fo|
|00000890| 72 20 28 69 20 3d 20 30 | 20 3b 20 69 20 3c 20 34 |r (i = 0| ; i < 4|
|000008a0| 20 3b 20 69 2b 2b 29 0d | 20 20 20 20 66 6f 72 20 | ; i++).| for |
|000008b0| 28 6a 20 3d 20 30 20 3b | 20 6a 20 3c 20 34 20 3b |(j = 0 ;| j < 4 ;|
|000008c0| 20 6a 2b 2b 29 20 0d 20 | 20 20 20 7b 0d 20 20 20 | j++) . | {. |
|000008d0| 20 74 65 6d 70 5f 6d 61 | 74 72 69 78 5b 69 5d 5b | temp_ma|trix[i][|
|000008e0| 6a 5d 20 3d 20 30 2e 30 | 3b 0d 20 20 20 20 66 6f |j] = 0.0|;. fo|
|000008f0| 72 20 28 6b 20 3d 20 30 | 20 3b 20 6b 20 3c 20 34 |r (k = 0| ; k < 4|
|00000900| 20 3b 20 6b 2b 2b 29 0d | 20 20 20 20 20 20 74 65 | ; k++).| te|
|00000910| 6d 70 5f 6d 61 74 72 69 | 78 5b 69 5d 5b 6a 5d 20 |mp_matri|x[i][j] |
|00000920| 2b 3d 20 28 2a 6d 61 74 | 72 69 78 31 29 5b 69 5d |+= (*mat|rix1)[i]|
|00000930| 5b 6b 5d 20 2a 20 28 2a | 6d 61 74 72 69 78 32 29 |[k] * (*|matrix2)|
|00000940| 5b 6b 5d 5b 6a 5d 3b 0d | 20 20 20 20 7d 0d 0d 20 |[k][j];.| }.. |
|00000950| 20 66 6f 72 20 28 69 20 | 3d 20 30 20 3b 20 69 20 | for (i |= 0 ; i |
|00000960| 3c 20 34 20 3b 20 69 2b | 2b 29 0d 20 20 20 20 66 |< 4 ; i+|+). f|
|00000970| 6f 72 20 28 6a 20 3d 20 | 30 20 3b 20 6a 20 3c 20 |or (j = |0 ; j < |
|00000980| 34 20 3b 20 6a 2b 2b 29 | 0d 20 20 20 20 28 2a 72 |4 ; j++)|. (*r|
|00000990| 65 73 75 6c 74 29 5b 69 | 5d 5b 6a 5d 20 3d 20 74 |esult)[i|][j] = t|
|000009a0| 65 6d 70 5f 6d 61 74 72 | 69 78 5b 69 5d 5b 6a 5d |emp_matr|ix[i][j]|
|000009b0| 3b 0d 20 20 7d 0d 0d 2f | 2a 20 20 41 41 43 20 2d |;. }../|* AAC -|
|000009c0| 20 54 68 65 73 65 20 61 | 72 65 20 6e 6f 74 20 75 | These a|re not u|
|000009d0| 73 65 64 2c 20 73 6f 20 | 74 68 65 79 20 61 72 65 |sed, so |they are|
|000009e0| 20 63 6f 6d 6d 65 6e 74 | 65 64 20 6f 75 74 20 74 | comment|ed out t|
|000009f0| 6f 20 73 61 76 65 20 63 | 6f 64 65 20 73 70 61 63 |o save c|ode spac|
|00000a00| 65 2e 2e 2e 0d 0d 76 6f | 69 64 20 4d 41 64 64 20 |e.....vo|id MAdd |
|00000a10| 28 72 65 73 75 6c 74 2c | 20 6d 61 74 72 69 78 31 |(result,| matrix1|
|00000a20| 2c 20 6d 61 74 72 69 78 | 32 29 0d 20 20 20 4d 41 |, matrix|2). MA|
|00000a30| 54 52 49 58 20 2a 72 65 | 73 75 6c 74 2c 20 2a 6d |TRIX *re|sult, *m|
|00000a40| 61 74 72 69 78 31 2c 20 | 2a 6d 61 74 72 69 78 32 |atrix1, |*matrix2|
|00000a50| 3b 0d 20 20 20 7b 0d 20 | 20 20 72 65 67 69 73 74 |;. {. | regist|
|00000a60| 65 72 20 69 6e 74 20 69 | 2c 20 6a 3b 0d 0d 20 20 |er int i|, j;.. |
|00000a70| 20 66 6f 72 20 28 69 20 | 3d 20 30 20 3b 20 69 20 | for (i |= 0 ; i |
|00000a80| 3c 20 34 20 3b 20 69 2b | 2b 29 0d 20 20 20 20 20 |< 4 ; i+|+). |
|00000a90| 20 66 6f 72 20 28 6a 20 | 3d 20 30 20 3b 20 6a 20 | for (j |= 0 ; j |
|00000aa0| 3c 20 34 20 3b 20 6a 2b | 2b 29 0d 20 20 20 20 20 |< 4 ; j+|+). |
|00000ab0| 20 20 20 20 28 2a 72 65 | 73 75 6c 74 29 5b 69 5d | (*re|sult)[i]|
|00000ac0| 5b 6a 5d 20 3d 20 28 2a | 6d 61 74 72 69 78 31 29 |[j] = (*|matrix1)|
|00000ad0| 5b 69 5d 5b 6a 5d 20 2b | 20 28 2a 6d 61 74 72 69 |[i][j] +| (*matri|
|00000ae0| 78 32 29 5b 69 5d 5b 6a | 5d 3b 0d 20 20 20 7d 0d |x2)[i][j|];. }.|
|00000af0| 0d 76 6f 69 64 20 4d 53 | 75 62 20 28 72 65 73 75 |.void MS|ub (resu|
|00000b00| 6c 74 2c 20 6d 61 74 72 | 69 78 31 2c 20 6d 61 74 |lt, matr|ix1, mat|
|00000b10| 72 69 78 32 29 0d 20 20 | 20 4d 41 54 52 49 58 20 |rix2). | MATRIX |
|00000b20| 2a 72 65 73 75 6c 74 2c | 20 2a 6d 61 74 72 69 78 |*result,| *matrix|
|00000b30| 31 2c 20 2a 6d 61 74 72 | 69 78 32 3b 0d 20 20 20 |1, *matr|ix2;. |
|00000b40| 7b 0d 20 20 20 72 65 67 | 69 73 74 65 72 20 69 6e |{. reg|ister in|
|00000b50| 74 20 69 2c 20 6a 3b 0d | 0d 20 20 20 66 6f 72 20 |t i, j;.|. for |
|00000b60| 28 69 20 3d 20 30 20 3b | 20 69 20 3c 20 34 20 3b |(i = 0 ;| i < 4 ;|
|00000b70| 20 69 2b 2b 29 0d 20 20 | 20 20 20 20 66 6f 72 20 | i++). | for |
|00000b80| 28 6a 20 3d 20 30 20 3b | 20 6a 20 3c 20 34 20 3b |(j = 0 ;| j < 4 ;|
|00000b90| 20 6a 2b 2b 29 0d 20 20 | 20 20 20 20 20 20 20 28 | j++). | (|
|00000ba0| 2a 72 65 73 75 6c 74 29 | 5b 69 5d 5b 6a 5d 20 3d |*result)|[i][j] =|
|00000bb0| 20 28 2a 6d 61 74 72 69 | 78 31 29 5b 69 5d 5b 6a | (*matri|x1)[i][j|
|00000bc0| 5d 20 2d 20 28 2a 6d 61 | 74 72 69 78 32 29 5b 69 |] - (*ma|trix2)[i|
|00000bd0| 5d 5b 6a 5d 3b 0d 20 20 | 20 7d 0d 0d 76 6f 69 64 |][j];. | }..void|
|00000be0| 20 4d 53 63 61 6c 65 20 | 28 72 65 73 75 6c 74 2c | MScale |(result,|
|00000bf0| 20 6d 61 74 72 69 78 31 | 2c 20 61 6d 6f 75 6e 74 | matrix1|, amount|
|00000c00| 29 0d 4d 41 54 52 49 58 | 20 2a 72 65 73 75 6c 74 |).MATRIX| *result|
|00000c10| 2c 20 2a 6d 61 74 72 69 | 78 31 3b 0d 44 42 4c 20 |, *matri|x1;.DBL |
|00000c20| 61 6d 6f 75 6e 74 3b 0d | 7b 0d 20 20 20 72 65 67 |amount;.|{. reg|
|00000c30| 69 73 74 65 72 20 69 6e | 74 20 69 2c 20 6a 3b 0d |ister in|t i, j;.|
|00000c40| 0d 20 20 20 66 6f 72 20 | 28 69 20 3d 20 30 20 3b |. for |(i = 0 ;|
|00000c50| 20 69 20 3c 20 34 20 3b | 20 69 2b 2b 29 0d 20 20 | i < 4 ;| i++). |
|00000c60| 20 20 20 20 66 6f 72 20 | 28 6a 20 3d 20 30 20 3b | for |(j = 0 ;|
|00000c70| 20 6a 20 3c 20 34 20 3b | 20 6a 2b 2b 29 0d 09 20 | j < 4 ;| j++).. |
|00000c80| 69 66 20 28 61 6d 6f 75 | 6e 74 20 3d 3d 20 31 2e |if (amou|nt == 1.|
|00000c90| 30 29 0d 09 20 20 20 20 | 28 2a 72 65 73 75 6c 74 |0).. |(*result|
|00000ca0| 29 5b 69 5d 5b 6a 5d 20 | 3d 20 28 2a 6d 61 74 72 |)[i][j] |= (*matr|
|00000cb0| 69 78 31 29 5b 69 5d 5b | 6a 5d 3b 20 2a 20 6a 75 |ix1)[i][|j]; * ju|
|00000cc0| 73 74 20 63 6f 70 79 20 | 2a 0d 09 20 65 6c 73 65 |st copy |*.. else|
|00000cd0| 0d 20 20 20 20 20 20 20 | 20 20 20 20 20 28 2a 72 |. | (*r|
|00000ce0| 65 73 75 6c 74 29 5b 69 | 5d 5b 6a 5d 20 3d 20 28 |esult)[i|][j] = (|
|00000cf0| 2a 6d 61 74 72 69 78 31 | 29 5b 69 5d 5b 6a 5d 20 |*matrix1|)[i][j] |
|00000d00| 2a 20 61 6d 6f 75 6e 74 | 3b 0d 20 20 20 72 65 74 |* amount|;. ret|
|00000d10| 75 72 6e 3b 0d 7d 0d 2e | 2e 2e 20 75 70 20 74 6f |urn;.}..|.. up to|
|00000d20| 20 68 65 72 65 21 20 2a | 2f 0d 0d 76 6f 69 64 20 | here! *|/..void |
|00000d30| 4d 54 72 61 6e 73 70 6f | 73 65 20 28 72 65 73 75 |MTranspo|se (resu|
|00000d40| 6c 74 2c 20 6d 61 74 72 | 69 78 31 29 0d 4d 41 54 |lt, matr|ix1).MAT|
|00000d50| 52 49 58 20 2a 72 65 73 | 75 6c 74 2c 20 2a 6d 61 |RIX *res|ult, *ma|
|00000d60| 74 72 69 78 31 3b 0d 20 | 20 7b 0d 20 20 72 65 67 |trix1;. | {. reg|
|00000d70| 69 73 74 65 72 20 69 6e | 74 20 69 2c 20 6a 3b 0d |ister in|t i, j;.|
|00000d80| 20 20 4d 41 54 52 49 58 | 20 74 65 6d 70 5f 6d 61 | MATRIX| temp_ma|
|00000d90| 74 72 69 78 3b 0d 0d 20 | 20 66 6f 72 20 28 69 20 |trix;.. | for (i |
|00000da0| 3d 20 30 20 3b 20 69 20 | 3c 20 34 20 3b 20 69 2b |= 0 ; i |< 4 ; i+|
|00000db0| 2b 29 0d 20 20 20 20 66 | 6f 72 20 28 6a 20 3d 20 |+). f|or (j = |
|00000dc0| 30 20 3b 20 6a 20 3c 20 | 34 20 3b 20 6a 2b 2b 29 |0 ; j < |4 ; j++)|
|00000dd0| 0d 20 20 20 20 74 65 6d | 70 5f 6d 61 74 72 69 78 |. tem|p_matrix|
|00000de0| 5b 69 5d 5b 6a 5d 20 3d | 20 28 2a 6d 61 74 72 69 |[i][j] =| (*matri|
|00000df0| 78 31 29 5b 6a 5d 5b 69 | 5d 3b 0d 0d 20 20 66 6f |x1)[j][i|];.. fo|
|00000e00| 72 20 28 69 20 3d 20 30 | 20 3b 20 69 20 3c 20 34 |r (i = 0| ; i < 4|
|00000e10| 20 3b 20 69 2b 2b 29 0d | 20 20 20 20 66 6f 72 20 | ; i++).| for |
|00000e20| 28 6a 20 3d 20 30 20 3b | 20 6a 20 3c 20 34 20 3b |(j = 0 ;| j < 4 ;|
|00000e30| 20 6a 2b 2b 29 0d 20 20 | 20 20 28 2a 72 65 73 75 | j++). | (*resu|
|00000e40| 6c 74 29 5b 69 5d 5b 6a | 5d 20 3d 20 74 65 6d 70 |lt)[i][j|] = temp|
|00000e50| 5f 6d 61 74 72 69 78 5b | 69 5d 5b 6a 5d 3b 0d 20 |_matrix[|i][j];. |
|00000e60| 20 7d 0d 0d 0d 76 6f 69 | 64 20 4d 54 72 61 6e 73 | }...voi|d MTrans|
|00000e70| 50 6f 69 6e 74 20 28 72 | 65 73 75 6c 74 2c 20 76 |Point (r|esult, v|
|00000e80| 65 63 74 6f 72 2c 20 74 | 72 61 6e 73 66 6f 72 6d |ector, t|ransform|
|00000e90| 29 0d 56 45 43 54 4f 52 | 20 2a 72 65 73 75 6c 74 |).VECTOR| *result|
|00000ea0| 2c 20 2a 76 65 63 74 6f | 72 3b 0d 54 52 41 4e 53 |, *vecto|r;.TRANS|
|00000eb0| 46 4f 52 4d 20 2a 74 72 | 61 6e 73 66 6f 72 6d 3b |FORM *tr|ansform;|
|00000ec0| 0d 20 20 7b 0d 20 20 72 | 65 67 69 73 74 65 72 20 |. {. r|egister |
|00000ed0| 69 6e 74 20 69 3b 0d 20 | 20 44 42 4c 20 61 6e 73 |int i;. | DBL ans|
|00000ee0| 77 65 72 5f 61 72 72 61 | 79 5b 34 5d 3b 0d 20 20 |wer_arra|y[4];. |
|00000ef0| 4d 41 54 52 49 58 20 2a | 6d 61 74 72 69 78 3b 0d |MATRIX *|matrix;.|
|00000f00| 0d 20 20 6d 61 74 72 69 | 78 20 3d 20 28 4d 41 54 |. matri|x = (MAT|
|00000f10| 52 49 58 20 2a 29 20 74 | 72 61 6e 73 66 6f 72 6d |RIX *) t|ransform|
|00000f20| 20 2d 3e 20 6d 61 74 72 | 69 78 3b 0d 0d 20 20 66 | -> matr|ix;.. f|
|00000f30| 6f 72 20 28 69 20 3d 20 | 30 20 3b 20 69 20 3c 20 |or (i = |0 ; i < |
|00000f40| 34 20 3b 20 69 2b 2b 29 | 0d 20 20 20 20 61 6e 73 |4 ; i++)|. ans|
|00000f50| 77 65 72 5f 61 72 72 61 | 79 5b 69 5d 20 3d 20 76 |wer_arra|y[i] = v|
|00000f60| 65 63 74 6f 72 20 2d 3e | 20 78 20 2a 20 28 2a 6d |ector ->| x * (*m|
|00000f70| 61 74 72 69 78 29 5b 30 | 5d 5b 69 5d 0d 20 20 20 |atrix)[0|][i]. |
|00000f80| 20 2b 20 76 65 63 74 6f | 72 20 2d 3e 20 79 20 2a | + vecto|r -> y *|
|00000f90| 20 28 2a 6d 61 74 72 69 | 78 29 5b 31 5d 5b 69 5d | (*matri|x)[1][i]|
|00000fa0| 0d 20 20 20 20 2b 20 76 | 65 63 74 6f 72 20 2d 3e |. + v|ector ->|
|00000fb0| 20 7a 20 2a 20 28 2a 6d | 61 74 72 69 78 29 5b 32 | z * (*m|atrix)[2|
|00000fc0| 5d 5b 69 5d 0d 20 20 20 | 20 2b 20 28 2a 6d 61 74 |][i]. | + (*mat|
|00000fd0| 72 69 78 29 5b 33 5d 5b | 69 5d 3b 0d 0d 20 20 72 |rix)[3][|i];.. r|
|00000fe0| 65 73 75 6c 74 20 2d 3e | 20 78 20 20 3d 20 61 6e |esult ->| x = an|
|00000ff0| 73 77 65 72 5f 61 72 72 | 61 79 5b 30 5d 3b 0d 20 |swer_arr|ay[0];. |
|00001000| 20 72 65 73 75 6c 74 20 | 2d 3e 20 79 20 20 3d 20 | result |-> y = |
|00001010| 61 6e 73 77 65 72 5f 61 | 72 72 61 79 5b 31 5d 3b |answer_a|rray[1];|
|00001020| 0d 20 20 72 65 73 75 6c | 74 20 2d 3e 20 7a 20 20 |. resul|t -> z |
|00001030| 3d 20 61 6e 73 77 65 72 | 5f 61 72 72 61 79 5b 32 |= answer|_array[2|
|00001040| 5d 3b 0d 20 20 7d 0d 0d | 76 6f 69 64 20 4d 49 6e |];. }..|void MIn|
|00001050| 76 54 72 61 6e 73 50 6f | 69 6e 74 20 28 72 65 73 |vTransPo|int (res|
|00001060| 75 6c 74 2c 20 76 65 63 | 74 6f 72 2c 20 74 72 61 |ult, vec|tor, tra|
|00001070| 6e 73 66 6f 72 6d 29 0d | 56 45 43 54 4f 52 20 2a |nsform).|VECTOR *|
|00001080| 72 65 73 75 6c 74 2c 20 | 2a 76 65 63 74 6f 72 3b |result, |*vector;|
|00001090| 0d 54 52 41 4e 53 46 4f | 52 4d 20 2a 74 72 61 6e |.TRANSFO|RM *tran|
|000010a0| 73 66 6f 72 6d 3b 0d 20 | 20 7b 0d 20 20 72 65 67 |sform;. | {. reg|
|000010b0| 69 73 74 65 72 20 69 6e | 74 20 69 3b 0d 20 20 44 |ister in|t i;. D|
|000010c0| 42 4c 20 61 6e 73 77 65 | 72 5f 61 72 72 61 79 5b |BL answe|r_array[|
|000010d0| 34 5d 3b 0d 20 20 4d 41 | 54 52 49 58 20 2a 6d 61 |4];. MA|TRIX *ma|
|000010e0| 74 72 69 78 3b 0d 0d 20 | 20 6d 61 74 72 69 78 20 |trix;.. | matrix |
|000010f0| 3d 20 28 4d 41 54 52 49 | 58 20 2a 29 20 74 72 61 |= (MATRI|X *) tra|
|00001100| 6e 73 66 6f 72 6d 20 2d | 3e 20 69 6e 76 65 72 73 |nsform -|> invers|
|00001110| 65 3b 0d 0d 20 20 66 6f | 72 20 28 69 20 3d 20 30 |e;.. fo|r (i = 0|
|00001120| 20 3b 20 69 20 3c 20 34 | 20 3b 20 69 2b 2b 29 0d | ; i < 4| ; i++).|
|00001130| 20 20 20 20 61 6e 73 77 | 65 72 5f 61 72 72 61 79 | answ|er_array|
|00001140| 5b 69 5d 20 3d 20 76 65 | 63 74 6f 72 20 2d 3e 20 |[i] = ve|ctor -> |
|00001150| 78 20 2a 20 28 2a 6d 61 | 74 72 69 78 29 5b 30 5d |x * (*ma|trix)[0]|
|00001160| 5b 69 5d 0d 20 20 20 20 | 2b 20 76 65 63 74 6f 72 |[i]. |+ vector|
|00001170| 20 2d 3e 20 79 20 2a 20 | 28 2a 6d 61 74 72 69 78 | -> y * |(*matrix|
|00001180| 29 5b 31 5d 5b 69 5d 0d | 20 20 20 20 2b 20 76 65 |)[1][i].| + ve|
|00001190| 63 74 6f 72 20 2d 3e 20 | 7a 20 2a 20 28 2a 6d 61 |ctor -> |z * (*ma|
|000011a0| 74 72 69 78 29 5b 32 5d | 5b 69 5d 0d 20 20 20 20 |trix)[2]|[i]. |
|000011b0| 2b 20 28 2a 6d 61 74 72 | 69 78 29 5b 33 5d 5b 69 |+ (*matr|ix)[3][i|
|000011c0| 5d 3b 0d 0d 20 20 72 65 | 73 75 6c 74 20 2d 3e 20 |];.. re|sult -> |
|000011d0| 78 20 20 3d 20 61 6e 73 | 77 65 72 5f 61 72 72 61 |x = ans|wer_arra|
|000011e0| 79 5b 30 5d 3b 0d 20 20 | 72 65 73 75 6c 74 20 2d |y[0];. |result -|
|000011f0| 3e 20 79 20 20 3d 20 61 | 6e 73 77 65 72 5f 61 72 |> y = a|nswer_ar|
|00001200| 72 61 79 5b 31 5d 3b 0d | 20 20 72 65 73 75 6c 74 |ray[1];.| result|
|00001210| 20 2d 3e 20 7a 20 20 3d | 20 61 6e 73 77 65 72 5f | -> z =| answer_|
|00001220| 61 72 72 61 79 5b 32 5d | 3b 0d 20 20 7d 0d 0d 76 |array[2]|;. }..v|
|00001230| 6f 69 64 20 4d 54 72 61 | 6e 73 44 69 72 65 63 74 |oid MTra|nsDirect|
|00001240| 69 6f 6e 20 28 72 65 73 | 75 6c 74 2c 20 76 65 63 |ion (res|ult, vec|
|00001250| 74 6f 72 2c 20 74 72 61 | 6e 73 66 6f 72 6d 29 0d |tor, tra|nsform).|
|00001260| 56 45 43 54 4f 52 20 2a | 72 65 73 75 6c 74 2c 20 |VECTOR *|result, |
|00001270| 2a 76 65 63 74 6f 72 3b | 0d 54 52 41 4e 53 46 4f |*vector;|.TRANSFO|
|00001280| 52 4d 20 2a 74 72 61 6e | 73 66 6f 72 6d 3b 0d 20 |RM *tran|sform;. |
|00001290| 20 7b 0d 20 20 72 65 67 | 69 73 74 65 72 20 69 6e | {. reg|ister in|
|000012a0| 74 20 69 3b 0d 20 20 44 | 42 4c 20 61 6e 73 77 65 |t i;. D|BL answe|
|000012b0| 72 5f 61 72 72 61 79 5b | 34 5d 3b 0d 20 20 4d 41 |r_array[|4];. MA|
|000012c0| 54 52 49 58 20 2a 6d 61 | 74 72 69 78 3b 0d 0d 20 |TRIX *ma|trix;.. |
|000012d0| 20 6d 61 74 72 69 78 20 | 3d 20 28 4d 41 54 52 49 | matrix |= (MATRI|
|000012e0| 58 20 2a 29 20 74 72 61 | 6e 73 66 6f 72 6d 20 2d |X *) tra|nsform -|
|000012f0| 3e 20 6d 61 74 72 69 78 | 3b 0d 0d 20 20 66 6f 72 |> matrix|;.. for|
|00001300| 20 28 69 20 3d 20 30 20 | 3b 20 69 20 3c 20 34 20 | (i = 0 |; i < 4 |
|00001310| 3b 20 69 2b 2b 29 0d 20 | 20 20 20 61 6e 73 77 65 |; i++). | answe|
|00001320| 72 5f 61 72 72 61 79 5b | 69 5d 20 3d 20 76 65 63 |r_array[|i] = vec|
|00001330| 74 6f 72 20 2d 3e 20 78 | 20 2a 20 28 2a 6d 61 74 |tor -> x| * (*mat|
|00001340| 72 69 78 29 5b 30 5d 5b | 69 5d 0d 20 20 20 20 2b |rix)[0][|i]. +|
|00001350| 20 76 65 63 74 6f 72 20 | 2d 3e 20 79 20 2a 20 28 | vector |-> y * (|
|00001360| 2a 6d 61 74 72 69 78 29 | 5b 31 5d 5b 69 5d 0d 20 |*matrix)|[1][i]. |
|00001370| 20 20 20 2b 20 76 65 63 | 74 6f 72 20 2d 3e 20 7a | + vec|tor -> z|
|00001380| 20 2a 20 28 2a 6d 61 74 | 72 69 78 29 5b 32 5d 5b | * (*mat|rix)[2][|
|00001390| 69 5d 3b 0d 0d 20 20 72 | 65 73 75 6c 74 20 2d 3e |i];.. r|esult ->|
|000013a0| 20 78 20 20 3d 20 61 6e | 73 77 65 72 5f 61 72 72 | x = an|swer_arr|
|000013b0| 61 79 5b 30 5d 3b 0d 20 | 20 72 65 73 75 6c 74 20 |ay[0];. | result |
|000013c0| 2d 3e 20 79 20 20 3d 20 | 61 6e 73 77 65 72 5f 61 |-> y = |answer_a|
|000013d0| 72 72 61 79 5b 31 5d 3b | 0d 20 20 72 65 73 75 6c |rray[1];|. resul|
|000013e0| 74 20 2d 3e 20 7a 20 20 | 3d 20 61 6e 73 77 65 72 |t -> z |= answer|
|000013f0| 5f 61 72 72 61 79 5b 32 | 5d 3b 0d 20 20 7d 0d 0d |_array[2|];. }..|
|00001400| 76 6f 69 64 20 4d 49 6e | 76 54 72 61 6e 73 44 69 |void MIn|vTransDi|
|00001410| 72 65 63 74 69 6f 6e 20 | 28 72 65 73 75 6c 74 2c |rection |(result,|
|00001420| 20 76 65 63 74 6f 72 2c | 20 74 72 61 6e 73 66 6f | vector,| transfo|
|00001430| 72 6d 29 0d 56 45 43 54 | 4f 52 20 2a 72 65 73 75 |rm).VECT|OR *resu|
|00001440| 6c 74 2c 20 2a 76 65 63 | 74 6f 72 3b 0d 54 52 41 |lt, *vec|tor;.TRA|
|00001450| 4e 53 46 4f 52 4d 20 2a | 74 72 61 6e 73 66 6f 72 |NSFORM *|transfor|
|00001460| 6d 3b 0d 20 20 7b 0d 20 | 20 72 65 67 69 73 74 65 |m;. {. | registe|
|00001470| 72 20 69 6e 74 20 69 3b | 0d 20 20 44 42 4c 20 61 |r int i;|. DBL a|
|00001480| 6e 73 77 65 72 5f 61 72 | 72 61 79 5b 34 5d 3b 0d |nswer_ar|ray[4];.|
|00001490| 20 20 4d 41 54 52 49 58 | 20 2a 6d 61 74 72 69 78 | MATRIX| *matrix|
|000014a0| 3b 0d 0d 20 20 6d 61 74 | 72 69 78 20 3d 20 28 4d |;.. mat|rix = (M|
|000014b0| 41 54 52 49 58 20 2a 29 | 20 74 72 61 6e 73 66 6f |ATRIX *)| transfo|
|000014c0| 72 6d 20 2d 3e 20 69 6e | 76 65 72 73 65 3b 0d 0d |rm -> in|verse;..|
|000014d0| 20 20 66 6f 72 20 28 69 | 20 3d 20 30 20 3b 20 69 | for (i| = 0 ; i|
|000014e0| 20 3c 20 34 20 3b 20 69 | 2b 2b 29 0d 20 20 20 20 | < 4 ; i|++). |
|000014f0| 61 6e 73 77 65 72 5f 61 | 72 72 61 79 5b 69 5d 20 |answer_a|rray[i] |
|00001500| 3d 20 76 65 63 74 6f 72 | 20 2d 3e 20 78 20 2a 20 |= vector| -> x * |
|00001510| 28 2a 6d 61 74 72 69 78 | 29 5b 30 5d 5b 69 5d 0d |(*matrix|)[0][i].|
|00001520| 20 20 20 20 2b 20 76 65 | 63 74 6f 72 20 2d 3e 20 | + ve|ctor -> |
|00001530| 79 20 2a 20 28 2a 6d 61 | 74 72 69 78 29 5b 31 5d |y * (*ma|trix)[1]|
|00001540| 5b 69 5d 0d 20 20 20 20 | 2b 20 76 65 63 74 6f 72 |[i]. |+ vector|
|00001550| 20 2d 3e 20 7a 20 2a 20 | 28 2a 6d 61 74 72 69 78 | -> z * |(*matrix|
|00001560| 29 5b 32 5d 5b 69 5d 3b | 0d 0d 20 20 72 65 73 75 |)[2][i];|.. resu|
|00001570| 6c 74 20 2d 3e 20 78 20 | 20 3d 20 61 6e 73 77 65 |lt -> x | = answe|
|00001580| 72 5f 61 72 72 61 79 5b | 30 5d 3b 0d 20 20 72 65 |r_array[|0];. re|
|00001590| 73 75 6c 74 20 2d 3e 20 | 79 20 20 3d 20 61 6e 73 |sult -> |y = ans|
|000015a0| 77 65 72 5f 61 72 72 61 | 79 5b 31 5d 3b 0d 20 20 |wer_arra|y[1];. |
|000015b0| 72 65 73 75 6c 74 20 2d | 3e 20 7a 20 20 3d 20 61 |result -|> z = a|
|000015c0| 6e 73 77 65 72 5f 61 72 | 72 61 79 5b 32 5d 3b 0d |nswer_ar|ray[2];.|
|000015d0| 20 20 7d 0d 0d 76 6f 69 | 64 20 4d 54 72 61 6e 73 | }..voi|d MTrans|
|000015e0| 4e 6f 72 6d 61 6c 20 28 | 72 65 73 75 6c 74 2c 20 |Normal (|result, |
|000015f0| 76 65 63 74 6f 72 2c 20 | 74 72 61 6e 73 66 6f 72 |vector, |transfor|
|00001600| 6d 29 0d 56 45 43 54 4f | 52 20 2a 72 65 73 75 6c |m).VECTO|R *resul|
|00001610| 74 2c 20 2a 76 65 63 74 | 6f 72 3b 0d 54 52 41 4e |t, *vect|or;.TRAN|
|00001620| 53 46 4f 52 4d 20 2a 74 | 72 61 6e 73 66 6f 72 6d |SFORM *t|ransform|
|00001630| 3b 0d 20 20 7b 0d 20 20 | 72 65 67 69 73 74 65 72 |;. {. |register|
|00001640| 20 69 6e 74 20 69 3b 0d | 20 20 44 42 4c 20 61 6e | int i;.| DBL an|
|00001650| 73 77 65 72 5f 61 72 72 | 61 79 5b 33 5d 3b 0d 20 |swer_arr|ay[3];. |
|00001660| 20 4d 41 54 52 49 58 20 | 2a 6d 61 74 72 69 78 3b | MATRIX |*matrix;|
|00001670| 0d 0d 20 20 6d 61 74 72 | 69 78 20 3d 20 28 4d 41 |.. matr|ix = (MA|
|00001680| 54 52 49 58 20 2a 29 20 | 74 72 61 6e 73 66 6f 72 |TRIX *) |transfor|
|00001690| 6d 20 2d 3e 20 69 6e 76 | 65 72 73 65 3b 0d 0d 20 |m -> inv|erse;.. |
|000016a0| 20 66 6f 72 20 28 69 20 | 3d 20 30 20 3b 20 69 20 | for (i |= 0 ; i |
|000016b0| 3c 20 33 20 3b 20 69 2b | 2b 29 0d 20 20 20 20 61 |< 3 ; i+|+). a|
|000016c0| 6e 73 77 65 72 5f 61 72 | 72 61 79 5b 69 5d 20 3d |nswer_ar|ray[i] =|
|000016d0| 20 76 65 63 74 6f 72 20 | 2d 3e 20 78 20 2a 20 28 | vector |-> x * (|
|000016e0| 2a 6d 61 74 72 69 78 29 | 5b 69 5d 5b 30 5d 0d 20 |*matrix)|[i][0]. |
|000016f0| 20 20 20 2b 20 76 65 63 | 74 6f 72 20 2d 3e 20 79 | + vec|tor -> y|
|00001700| 20 2a 20 28 2a 6d 61 74 | 72 69 78 29 5b 69 5d 5b | * (*mat|rix)[i][|
|00001710| 31 5d 0d 20 20 20 20 2b | 20 76 65 63 74 6f 72 20 |1]. +| vector |
|00001720| 2d 3e 20 7a 20 2a 20 28 | 2a 6d 61 74 72 69 78 29 |-> z * (|*matrix)|
|00001730| 5b 69 5d 5b 32 5d 3b 0d | 0d 20 20 72 65 73 75 6c |[i][2];.|. resul|
|00001740| 74 20 2d 3e 20 78 20 20 | 3d 20 61 6e 73 77 65 72 |t -> x |= answer|
|00001750| 5f 61 72 72 61 79 5b 30 | 5d 3b 0d 20 20 72 65 73 |_array[0|];. res|
|00001760| 75 6c 74 20 2d 3e 20 79 | 20 20 3d 20 61 6e 73 77 |ult -> y| = answ|
|00001770| 65 72 5f 61 72 72 61 79 | 5b 31 5d 3b 0d 20 20 72 |er_array|[1];. r|
|00001780| 65 73 75 6c 74 20 2d 3e | 20 7a 20 20 3d 20 61 6e |esult ->| z = an|
|00001790| 73 77 65 72 5f 61 72 72 | 61 79 5b 32 5d 3b 0d 20 |swer_arr|ay[2];. |
|000017a0| 20 7d 0d 0d 76 6f 69 64 | 20 4d 49 6e 76 54 72 61 | }..void| MInvTra|
|000017b0| 6e 73 4e 6f 72 6d 61 6c | 20 28 72 65 73 75 6c 74 |nsNormal| (result|
|000017c0| 2c 20 76 65 63 74 6f 72 | 2c 20 74 72 61 6e 73 66 |, vector|, transf|
|000017d0| 6f 72 6d 29 0d 56 45 43 | 54 4f 52 20 2a 72 65 73 |orm).VEC|TOR *res|
|000017e0| 75 6c 74 2c 20 2a 76 65 | 63 74 6f 72 3b 0d 54 52 |ult, *ve|ctor;.TR|
|000017f0| 41 4e 53 46 4f 52 4d 20 | 2a 74 72 61 6e 73 66 6f |ANSFORM |*transfo|
|00001800| 72 6d 3b 0d 20 20 7b 0d | 20 20 72 65 67 69 73 74 |rm;. {.| regist|
|00001810| 65 72 20 69 6e 74 20 69 | 3b 0d 20 20 44 42 4c 20 |er int i|;. DBL |
|00001820| 61 6e 73 77 65 72 5f 61 | 72 72 61 79 5b 33 5d 3b |answer_a|rray[3];|
|00001830| 0d 20 20 4d 41 54 52 49 | 58 20 2a 6d 61 74 72 69 |. MATRI|X *matri|
|00001840| 78 3b 0d 0d 20 20 6d 61 | 74 72 69 78 20 3d 20 28 |x;.. ma|trix = (|
|00001850| 4d 41 54 52 49 58 20 2a | 29 20 74 72 61 6e 73 66 |MATRIX *|) transf|
|00001860| 6f 72 6d 20 2d 3e 20 6d | 61 74 72 69 78 3b 0d 0d |orm -> m|atrix;..|
|00001870| 20 20 66 6f 72 20 28 69 | 20 3d 20 30 20 3b 20 69 | for (i| = 0 ; i|
|00001880| 20 3c 20 33 20 3b 20 69 | 2b 2b 29 0d 20 20 20 20 | < 3 ; i|++). |
|00001890| 61 6e 73 77 65 72 5f 61 | 72 72 61 79 5b 69 5d 20 |answer_a|rray[i] |
|000018a0| 3d 20 76 65 63 74 6f 72 | 20 2d 3e 20 78 20 2a 20 |= vector| -> x * |
|000018b0| 28 2a 6d 61 74 72 69 78 | 29 5b 69 5d 5b 30 5d 0d |(*matrix|)[i][0].|
|000018c0| 20 20 20 20 2b 20 76 65 | 63 74 6f 72 20 2d 3e 20 | + ve|ctor -> |
|000018d0| 79 20 2a 20 28 2a 6d 61 | 74 72 69 78 29 5b 69 5d |y * (*ma|trix)[i]|
|000018e0| 5b 31 5d 0d 20 20 20 20 | 2b 20 76 65 63 74 6f 72 |[1]. |+ vector|
|000018f0| 20 2d 3e 20 7a 20 2a 20 | 28 2a 6d 61 74 72 69 78 | -> z * |(*matrix|
|00001900| 29 5b 69 5d 5b 32 5d 3b | 0d 0d 20 20 72 65 73 75 |)[i][2];|.. resu|
|00001910| 6c 74 20 2d 3e 20 78 20 | 20 3d 20 61 6e 73 77 65 |lt -> x | = answe|
|00001920| 72 5f 61 72 72 61 79 5b | 30 5d 3b 0d 20 20 72 65 |r_array[|0];. re|
|00001930| 73 75 6c 74 20 2d 3e 20 | 79 20 20 3d 20 61 6e 73 |sult -> |y = ans|
|00001940| 77 65 72 5f 61 72 72 61 | 79 5b 31 5d 3b 0d 20 20 |wer_arra|y[1];. |
|00001950| 72 65 73 75 6c 74 20 2d | 3e 20 7a 20 20 3d 20 61 |result -|> z = a|
|00001960| 6e 73 77 65 72 5f 61 72 | 72 61 79 5b 32 5d 3b 0d |nswer_ar|ray[2];.|
|00001970| 20 20 7d 0d 0d 76 6f 69 | 64 20 43 6f 6d 70 75 74 | }..voi|d Comput|
|00001980| 65 5f 53 63 61 6c 69 6e | 67 5f 54 72 61 6e 73 66 |e_Scalin|g_Transf|
|00001990| 6f 72 6d 20 28 72 65 73 | 75 6c 74 2c 20 76 65 63 |orm (res|ult, vec|
|000019a0| 74 6f 72 29 0d 54 52 41 | 4e 53 46 4f 52 4d 20 2a |tor).TRA|NSFORM *|
|000019b0| 72 65 73 75 6c 74 3b 0d | 56 45 43 54 4f 52 20 2a |result;.|VECTOR *|
|000019c0| 76 65 63 74 6f 72 3b 0d | 20 20 7b 0d 20 20 4d 49 |vector;.| {. MI|
|000019d0| 64 65 6e 74 69 74 79 20 | 28 28 4d 41 54 52 49 58 |dentity |((MATRIX|
|000019e0| 20 2a 29 72 65 73 75 6c | 74 20 2d 3e 20 6d 61 74 | *)resul|t -> mat|
|000019f0| 72 69 78 29 3b 0d 20 20 | 28 72 65 73 75 6c 74 20 |rix);. |(result |
|00001a00| 2d 3e 20 6d 61 74 72 69 | 78 29 5b 30 5d 5b 30 5d |-> matri|x)[0][0]|
|00001a10| 20 3d 20 76 65 63 74 6f | 72 20 2d 3e 20 78 3b 0d | = vecto|r -> x;.|
|00001a20| 20 20 28 72 65 73 75 6c | 74 20 2d 3e 20 6d 61 74 | (resul|t -> mat|
|00001a30| 72 69 78 29 5b 31 5d 5b | 31 5d 20 3d 20 76 65 63 |rix)[1][|1] = vec|
|00001a40| 74 6f 72 20 2d 3e 20 79 | 3b 0d 20 20 28 72 65 73 |tor -> y|;. (res|
|00001a50| 75 6c 74 20 2d 3e 20 6d | 61 74 72 69 78 29 5b 32 |ult -> m|atrix)[2|
|00001a60| 5d 5b 32 5d 20 3d 20 76 | 65 63 74 6f 72 20 2d 3e |][2] = v|ector ->|
|00001a70| 20 7a 3b 0d 0d 20 20 4d | 49 64 65 6e 74 69 74 79 | z;.. M|Identity|
|00001a80| 20 28 28 4d 41 54 52 49 | 58 20 2a 29 72 65 73 75 | ((MATRI|X *)resu|
|00001a90| 6c 74 20 2d 3e 20 69 6e | 76 65 72 73 65 29 3b 0d |lt -> in|verse);.|
|00001aa0| 20 20 28 72 65 73 75 6c | 74 20 2d 3e 20 69 6e 76 | (resul|t -> inv|
|00001ab0| 65 72 73 65 29 5b 30 5d | 5b 30 5d 20 3d 20 31 2e |erse)[0]|[0] = 1.|
|00001ac0| 30 20 2f 20 76 65 63 74 | 6f 72 20 2d 3e 20 78 3b |0 / vect|or -> x;|
|00001ad0| 0d 20 20 28 72 65 73 75 | 6c 74 20 2d 3e 20 69 6e |. (resu|lt -> in|
|00001ae0| 76 65 72 73 65 29 5b 31 | 5d 5b 31 5d 3d 20 31 2e |verse)[1|][1]= 1.|
|00001af0| 30 20 2f 20 76 65 63 74 | 6f 72 20 2d 3e 20 79 3b |0 / vect|or -> y;|
|00001b00| 0d 20 20 28 72 65 73 75 | 6c 74 20 2d 3e 20 69 6e |. (resu|lt -> in|
|00001b10| 76 65 72 73 65 29 5b 32 | 5d 5b 32 5d 20 3d 20 31 |verse)[2|][2] = 1|
|00001b20| 2e 30 20 2f 20 76 65 63 | 74 6f 72 20 2d 3e 20 7a |.0 / vec|tor -> z|
|00001b30| 3b 0d 20 20 7d 0d 0d 2f | 2a 20 41 41 43 20 2d 20 |;. }../|* AAC - |
|00001b40| 54 68 69 73 20 69 73 20 | 6e 6f 74 20 75 73 65 64 |This is |not used|
|00001b50| 2c 20 73 6f 20 69 74 27 | 73 20 63 6f 6d 6d 65 6e |, so it'|s commen|
|00001b60| 74 65 64 20 6f 75 74 2e | 2e 2e 0d 0d 76 6f 69 64 |ted out.|....void|
|00001b70| 20 43 6f 6d 70 75 74 65 | 5f 49 6e 76 65 72 73 69 | Compute|_Inversi|
|00001b80| 6f 6e 5f 54 72 61 6e 73 | 66 6f 72 6d 20 28 72 65 |on_Trans|form (re|
|00001b90| 73 75 6c 74 29 0d 20 20 | 20 54 52 41 4e 53 46 4f |sult). | TRANSFO|
|00001ba0| 52 4d 20 2a 72 65 73 75 | 6c 74 3b 0d 20 20 20 7b |RM *resu|lt;. {|
|00001bb0| 0d 20 20 20 4d 49 64 65 | 6e 74 69 74 79 20 28 28 |. MIde|ntity ((|
|00001bc0| 4d 41 54 52 49 58 20 2a | 29 72 65 73 75 6c 74 20 |MATRIX *|)result |
|00001bd0| 2d 3e 20 6d 61 74 72 69 | 78 29 3b 0d 20 20 20 28 |-> matri|x);. (|
|00001be0| 72 65 73 75 6c 74 20 2d | 3e 20 6d 61 74 72 69 78 |result -|> matrix|
|00001bf0| 29 5b 30 5d 5b 30 5d 20 | 3d 20 2d 31 2e 30 3b 0d |)[0][0] |= -1.0;.|
|00001c00| 20 20 20 28 72 65 73 75 | 6c 74 20 2d 3e 20 6d 61 | (resu|lt -> ma|
|00001c10| 74 72 69 78 29 5b 31 5d | 5b 31 5d 20 3d 20 2d 31 |trix)[1]|[1] = -1|
|00001c20| 2e 30 3b 0d 20 20 20 28 | 72 65 73 75 6c 74 20 2d |.0;. (|result -|
|00001c30| 3e 20 6d 61 74 72 69 78 | 29 5b 32 5d 5b 32 5d 20 |> matrix|)[2][2] |
|00001c40| 3d 20 2d 31 2e 30 3b 0d | 20 20 20 28 72 65 73 75 |= -1.0;.| (resu|
|00001c50| 6c 74 20 2d 3e 20 6d 61 | 74 72 69 78 29 5b 33 5d |lt -> ma|trix)[3]|
|00001c60| 5b 33 5d 20 3d 20 2d 31 | 2e 30 3b 0d 0d 0d 20 20 |[3] = -1|.0;... |
|00001c70| 20 28 72 65 73 75 6c 74 | 20 2d 3e 20 69 6e 76 65 | (result| -> inve|
|00001c80| 72 73 65 29 5b 30 5d 5b | 30 5d 20 3d 20 2d 31 2e |rse)[0][|0] = -1.|
|00001c90| 30 3b 0d 20 20 20 28 72 | 65 73 75 6c 74 20 2d 3e |0;. (r|esult ->|
|00001ca0| 20 69 6e 76 65 72 73 65 | 29 5b 31 5d 5b 31 5d 20 | inverse|)[1][1] |
|00001cb0| 3d 20 2d 31 2e 30 3b 0d | 20 20 20 28 72 65 73 75 |= -1.0;.| (resu|
|00001cc0| 6c 74 20 2d 3e 20 69 6e | 76 65 72 73 65 29 5b 32 |lt -> in|verse)[2|
|00001cd0| 5d 5b 32 5d 20 3d 20 2d | 31 2e 30 3b 0d 20 20 20 |][2] = -|1.0;. |
|00001ce0| 28 72 65 73 75 6c 74 20 | 2d 3e 20 69 6e 76 65 72 |(result |-> inver|
|00001cf0| 73 65 29 5b 33 5d 5b 33 | 5d 20 3d 20 2d 31 2e 30 |se)[3][3|] = -1.0|
|00001d00| 3b 0d 20 20 20 7d 0d 2e | 2e 2e 20 75 70 20 74 6f |;. }..|.. up to|
|00001d10| 20 68 65 72 65 21 20 2a | 2f 0d 0d 76 6f 69 64 20 | here! *|/..void |
|00001d20| 43 6f 6d 70 75 74 65 5f | 54 72 61 6e 73 6c 61 74 |Compute_|Translat|
|00001d30| 69 6f 6e 5f 54 72 61 6e | 73 66 6f 72 6d 20 28 74 |ion_Tran|sform (t|
|00001d40| 72 61 6e 73 66 6f 72 6d | 2c 20 76 65 63 74 6f 72 |ransform|, vector|
|00001d50| 29 0d 54 52 41 4e 53 46 | 4f 52 4d 20 2a 74 72 61 |).TRANSF|ORM *tra|
|00001d60| 6e 73 66 6f 72 6d 3b 0d | 56 45 43 54 4f 52 20 2a |nsform;.|VECTOR *|
|00001d70| 76 65 63 74 6f 72 3b 0d | 20 20 7b 0d 20 20 4d 49 |vector;.| {. MI|
|00001d80| 64 65 6e 74 69 74 79 20 | 28 28 4d 41 54 52 49 58 |dentity |((MATRIX|
|00001d90| 20 2a 29 74 72 61 6e 73 | 66 6f 72 6d 20 2d 3e 20 | *)trans|form -> |
|00001da0| 6d 61 74 72 69 78 29 3b | 0d 20 20 28 74 72 61 6e |matrix);|. (tran|
|00001db0| 73 66 6f 72 6d 20 2d 3e | 20 6d 61 74 72 69 78 29 |sform ->| matrix)|
|00001dc0| 5b 33 5d 5b 30 5d 20 3d | 20 76 65 63 74 6f 72 20 |[3][0] =| vector |
|00001dd0| 2d 3e 20 78 3b 0d 20 20 | 28 74 72 61 6e 73 66 6f |-> x;. |(transfo|
|00001de0| 72 6d 20 2d 3e 20 6d 61 | 74 72 69 78 29 5b 33 5d |rm -> ma|trix)[3]|
|00001df0| 5b 31 5d 20 3d 20 76 65 | 63 74 6f 72 20 2d 3e 20 |[1] = ve|ctor -> |
|00001e00| 79 3b 0d 20 20 28 74 72 | 61 6e 73 66 6f 72 6d 20 |y;. (tr|ansform |
|00001e10| 2d 3e 20 6d 61 74 72 69 | 78 29 5b 33 5d 5b 32 5d |-> matri|x)[3][2]|
|00001e20| 20 3d 20 76 65 63 74 6f | 72 20 2d 3e 20 7a 3b 0d | = vecto|r -> z;.|
|00001e30| 0d 20 20 4d 49 64 65 6e | 74 69 74 79 20 28 28 4d |. MIden|tity ((M|
|00001e40| 41 54 52 49 58 20 2a 29 | 74 72 61 6e 73 66 6f 72 |ATRIX *)|transfor|
|00001e50| 6d 20 2d 3e 20 69 6e 76 | 65 72 73 65 29 3b 0d 20 |m -> inv|erse);. |
|00001e60| 20 28 74 72 61 6e 73 66 | 6f 72 6d 20 2d 3e 20 69 | (transf|orm -> i|
|00001e70| 6e 76 65 72 73 65 29 5b | 33 5d 5b 30 5d 20 3d 20 |nverse)[|3][0] = |
|00001e80| 30 2e 30 20 2d 20 76 65 | 63 74 6f 72 20 2d 3e 20 |0.0 - ve|ctor -> |
|00001e90| 78 3b 0d 20 20 28 74 72 | 61 6e 73 66 6f 72 6d 20 |x;. (tr|ansform |
|00001ea0| 2d 3e 20 69 6e 76 65 72 | 73 65 29 5b 33 5d 5b 31 |-> inver|se)[3][1|
|00001eb0| 5d 20 3d 20 30 2e 30 20 | 2d 20 76 65 63 74 6f 72 |] = 0.0 |- vector|
|00001ec0| 20 2d 3e 20 79 3b 0d 20 | 20 28 74 72 61 6e 73 66 | -> y;. | (transf|
|00001ed0| 6f 72 6d 20 2d 3e 20 69 | 6e 76 65 72 73 65 29 5b |orm -> i|nverse)[|
|00001ee0| 33 5d 5b 32 5d 20 3d 20 | 30 2e 30 20 2d 20 76 65 |3][2] = |0.0 - ve|
|00001ef0| 63 74 6f 72 20 2d 3e 20 | 7a 3b 0d 20 20 7d 0d 0d |ctor -> |z;. }..|
|00001f00| 76 6f 69 64 20 43 6f 6d | 70 75 74 65 5f 52 6f 74 |void Com|pute_Rot|
|00001f10| 61 74 69 6f 6e 5f 54 72 | 61 6e 73 66 6f 72 6d 20 |ation_Tr|ansform |
|00001f20| 28 74 72 61 6e 73 66 6f | 72 6d 2c 20 76 65 63 74 |(transfo|rm, vect|
|00001f30| 6f 72 29 0d 54 52 41 4e | 53 46 4f 52 4d 20 2a 74 |or).TRAN|SFORM *t|
|00001f40| 72 61 6e 73 66 6f 72 6d | 3b 0d 56 45 43 54 4f 52 |ransform|;.VECTOR|
|00001f50| 20 2a 76 65 63 74 6f 72 | 3b 0d 20 20 7b 0d 20 20 | *vector|;. {. |
|00001f60| 4d 41 54 52 49 58 20 4d | 61 74 72 69 78 3b 0d 20 |MATRIX M|atrix;. |
|00001f70| 20 56 45 43 54 4f 52 20 | 52 61 64 69 61 6e 5f 56 | VECTOR |Radian_V|
|00001f80| 65 63 74 6f 72 3b 0d 20 | 20 72 65 67 69 73 74 65 |ector;. | registe|
|00001f90| 72 20 44 42 4c 20 63 6f | 73 78 2c 20 63 6f 73 79 |r DBL co|sx, cosy|
|00001fa0| 2c 20 63 6f 73 7a 2c 20 | 73 69 6e 78 2c 20 73 69 |, cosz, |sinx, si|
|00001fb0| 6e 79 2c 20 73 69 6e 7a | 3b 0d 0d 20 20 56 53 63 |ny, sinz|;.. VSc|
|00001fc0| 61 6c 65 20 28 52 61 64 | 69 61 6e 5f 56 65 63 74 |ale (Rad|ian_Vect|
|00001fd0| 6f 72 2c 20 2a 76 65 63 | 74 6f 72 2c 20 4d 5f 50 |or, *vec|tor, M_P|
|00001fe0| 49 2f 31 38 30 2e 30 29 | 3b 0d 20 20 4d 49 64 65 |I/180.0)|;. MIde|
|00001ff0| 6e 74 69 74 79 20 28 28 | 4d 41 54 52 49 58 20 2a |ntity ((|MATRIX *|
|00002000| 29 74 72 61 6e 73 66 6f | 72 6d 20 2d 3e 20 6d 61 |)transfo|rm -> ma|
|00002010| 74 72 69 78 29 3b 0d 20 | 20 63 6f 73 78 20 3d 20 |trix);. | cosx = |
|00002020| 63 6f 73 20 28 52 61 64 | 69 61 6e 5f 56 65 63 74 |cos (Rad|ian_Vect|
|00002030| 6f 72 2e 78 29 3b 0d 20 | 20 73 69 6e 78 20 3d 20 |or.x);. | sinx = |
|00002040| 73 69 6e 20 28 52 61 64 | 69 61 6e 5f 56 65 63 74 |sin (Rad|ian_Vect|
|00002050| 6f 72 2e 78 29 3b 0d 20 | 20 63 6f 73 79 20 3d 20 |or.x);. | cosy = |
|00002060| 63 6f 73 20 28 52 61 64 | 69 61 6e 5f 56 65 63 74 |cos (Rad|ian_Vect|
|00002070| 6f 72 2e 79 29 3b 0d 20 | 20 73 69 6e 79 20 3d 20 |or.y);. | siny = |
|00002080| 73 69 6e 20 28 52 61 64 | 69 61 6e 5f 56 65 63 74 |sin (Rad|ian_Vect|
|00002090| 6f 72 2e 79 29 3b 0d 20 | 20 63 6f 73 7a 20 3d 20 |or.y);. | cosz = |
|000020a0| 63 6f 73 20 28 52 61 64 | 69 61 6e 5f 56 65 63 74 |cos (Rad|ian_Vect|
|000020b0| 6f 72 2e 7a 29 3b 0d 20 | 20 73 69 6e 7a 20 3d 20 |or.z);. | sinz = |
|000020c0| 73 69 6e 20 28 52 61 64 | 69 61 6e 5f 56 65 63 74 |sin (Rad|ian_Vect|
|000020d0| 6f 72 2e 7a 29 3b 0d 0d | 20 20 28 74 72 61 6e 73 |or.z);..| (trans|
|000020e0| 66 6f 72 6d 20 2d 3e 20 | 6d 61 74 72 69 78 29 20 |form -> |matrix) |
|000020f0| 5b 31 5d 5b 31 5d 20 3d | 20 63 6f 73 78 3b 0d 20 |[1][1] =| cosx;. |
|00002100| 20 28 74 72 61 6e 73 66 | 6f 72 6d 20 2d 3e 20 6d | (transf|orm -> m|
|00002110| 61 74 72 69 78 29 20 5b | 32 5d 5b 32 5d 20 3d 20 |atrix) [|2][2] = |
|00002120| 63 6f 73 78 3b 0d 20 20 | 28 74 72 61 6e 73 66 6f |cosx;. |(transfo|
|00002130| 72 6d 20 2d 3e 20 6d 61 | 74 72 69 78 29 20 5b 31 |rm -> ma|trix) [1|
|00002140| 5d 5b 32 5d 20 3d 20 73 | 69 6e 78 3b 0d 20 20 28 |][2] = s|inx;. (|
|00002150| 74 72 61 6e 73 66 6f 72 | 6d 20 2d 3e 20 6d 61 74 |transfor|m -> mat|
|00002160| 72 69 78 29 20 5b 32 5d | 5b 31 5d 20 3d 20 30 2e |rix) [2]|[1] = 0.|
|00002170| 30 20 2d 20 73 69 6e 78 | 3b 0d 20 20 4d 54 72 61 |0 - sinx|;. MTra|
|00002180| 6e 73 70 6f 73 65 20 28 | 28 4d 41 54 52 49 58 20 |nspose (|(MATRIX |
|00002190| 2a 29 74 72 61 6e 73 66 | 6f 72 6d 20 2d 3e 20 69 |*)transf|orm -> i|
|000021a0| 6e 76 65 72 73 65 2c 20 | 28 4d 41 54 52 49 58 20 |nverse, |(MATRIX |
|000021b0| 2a 29 74 72 61 6e 73 66 | 6f 72 6d 20 2d 3e 20 6d |*)transf|orm -> m|
|000021c0| 61 74 72 69 78 29 3b 0d | 0d 20 20 4d 49 64 65 6e |atrix);.|. MIden|
|000021d0| 74 69 74 79 20 28 28 4d | 41 54 52 49 58 20 2a 29 |tity ((M|ATRIX *)|
|000021e0| 4d 61 74 72 69 78 29 3b | 0d 20 20 4d 61 74 72 69 |Matrix);|. Matri|
|000021f0| 78 20 5b 30 5d 5b 30 5d | 20 3d 20 63 6f 73 79 3b |x [0][0]| = cosy;|
|00002200| 0d 20 20 4d 61 74 72 69 | 78 20 5b 32 5d 5b 32 5d |. Matri|x [2][2]|
|00002210| 20 3d 20 63 6f 73 79 3b | 0d 20 20 4d 61 74 72 69 | = cosy;|. Matri|
|00002220| 78 20 5b 30 5d 5b 32 5d | 20 3d 20 30 2e 30 20 2d |x [0][2]| = 0.0 -|
|00002230| 20 73 69 6e 79 3b 0d 20 | 20 4d 61 74 72 69 78 20 | siny;. | Matrix |
|00002240| 5b 32 5d 5b 30 5d 20 3d | 20 73 69 6e 79 3b 0d 20 |[2][0] =| siny;. |
|00002250| 20 4d 54 69 6d 65 73 20 | 28 28 4d 41 54 52 49 58 | MTimes |((MATRIX|
|00002260| 20 2a 29 74 72 61 6e 73 | 66 6f 72 6d 20 2d 3e 20 | *)trans|form -> |
|00002270| 6d 61 74 72 69 78 2c 20 | 28 4d 41 54 52 49 58 20 |matrix, |(MATRIX |
|00002280| 2a 29 74 72 61 6e 73 66 | 6f 72 6d 20 2d 3e 20 6d |*)transf|orm -> m|
|00002290| 61 74 72 69 78 2c 20 28 | 4d 41 54 52 49 58 20 2a |atrix, (|MATRIX *|
|000022a0| 29 4d 61 74 72 69 78 29 | 3b 0d 20 20 4d 54 72 61 |)Matrix)|;. MTra|
|000022b0| 6e 73 70 6f 73 65 20 28 | 28 4d 41 54 52 49 58 20 |nspose (|(MATRIX |
|000022c0| 2a 29 4d 61 74 72 69 78 | 2c 20 28 4d 41 54 52 49 |*)Matrix|, (MATRI|
|000022d0| 58 20 2a 29 4d 61 74 72 | 69 78 29 3b 0d 20 20 4d |X *)Matr|ix);. M|
|000022e0| 54 69 6d 65 73 20 28 28 | 4d 41 54 52 49 58 20 2a |Times ((|MATRIX *|
|000022f0| 29 74 72 61 6e 73 66 6f | 72 6d 20 2d 3e 20 69 6e |)transfo|rm -> in|
|00002300| 76 65 72 73 65 2c 20 28 | 4d 41 54 52 49 58 20 2a |verse, (|MATRIX *|
|00002310| 29 4d 61 74 72 69 78 2c | 20 28 4d 41 54 52 49 58 |)Matrix,| (MATRIX|
|00002320| 20 2a 29 74 72 61 6e 73 | 66 6f 72 6d 20 2d 3e 20 | *)trans|form -> |
|00002330| 69 6e 76 65 72 73 65 29 | 3b 0d 0d 20 20 4d 49 64 |inverse)|;.. MId|
|00002340| 65 6e 74 69 74 79 20 28 | 28 4d 41 54 52 49 58 20 |entity (|(MATRIX |
|00002350| 2a 29 4d 61 74 72 69 78 | 29 3b 0d 20 20 4d 61 74 |*)Matrix|);. Mat|
|00002360| 72 69 78 20 5b 30 5d 5b | 30 5d 20 3d 20 63 6f 73 |rix [0][|0] = cos|
|00002370| 7a 3b 0d 20 20 4d 61 74 | 72 69 78 20 5b 31 5d 5b |z;. Mat|rix [1][|
|00002380| 31 5d 20 3d 20 63 6f 73 | 7a 3b 0d 20 20 4d 61 74 |1] = cos|z;. Mat|
|00002390| 72 69 78 20 5b 30 5d 5b | 31 5d 20 3d 20 73 69 6e |rix [0][|1] = sin|
|000023a0| 7a 3b 0d 20 20 4d 61 74 | 72 69 78 20 5b 31 5d 5b |z;. Mat|rix [1][|
|000023b0| 30 5d 20 3d 20 30 2e 30 | 20 2d 20 73 69 6e 7a 3b |0] = 0.0| - sinz;|
|000023c0| 0d 20 20 4d 54 69 6d 65 | 73 20 28 28 4d 41 54 52 |. MTime|s ((MATR|
|000023d0| 49 58 20 2a 29 74 72 61 | 6e 73 66 6f 72 6d 20 2d |IX *)tra|nsform -|
|000023e0| 3e 20 6d 61 74 72 69 78 | 2c 20 28 4d 41 54 52 49 |> matrix|, (MATRI|
|000023f0| 58 20 2a 29 74 72 61 6e | 73 66 6f 72 6d 20 2d 3e |X *)tran|sform ->|
|00002400| 20 6d 61 74 72 69 78 2c | 20 28 4d 41 54 52 49 58 | matrix,| (MATRIX|
|00002410| 20 2a 29 4d 61 74 72 69 | 78 29 3b 0d 20 20 4d 54 | *)Matri|x);. MT|
|00002420| 72 61 6e 73 70 6f 73 65 | 20 28 28 4d 41 54 52 49 |ranspose| ((MATRI|
|00002430| 58 20 2a 29 4d 61 74 72 | 69 78 2c 20 28 4d 41 54 |X *)Matr|ix, (MAT|
|00002440| 52 49 58 20 2a 29 4d 61 | 74 72 69 78 29 3b 0d 20 |RIX *)Ma|trix);. |
|00002450| 20 4d 54 69 6d 65 73 20 | 28 28 4d 41 54 52 49 58 | MTimes |((MATRIX|
|00002460| 20 2a 29 74 72 61 6e 73 | 66 6f 72 6d 20 2d 3e 20 | *)trans|form -> |
|00002470| 69 6e 76 65 72 73 65 2c | 20 28 4d 41 54 52 49 58 |inverse,| (MATRIX|
|00002480| 20 2a 29 4d 61 74 72 69 | 78 2c 20 28 4d 41 54 52 | *)Matri|x, (MATR|
|00002490| 49 58 20 2a 29 74 72 61 | 6e 73 66 6f 72 6d 20 2d |IX *)tra|nsform -|
|000024a0| 3e 20 69 6e 76 65 72 73 | 65 29 3b 0d 20 20 7d 0d |> invers|e);. }.|
|000024b0| 0d 2f 2a 20 41 41 43 20 | 2d 20 54 68 69 73 20 69 |./* AAC |- This i|
|000024c0| 73 20 6e 6f 74 20 75 73 | 65 64 20 73 6f 20 69 74 |s not us|ed so it|
|000024d0| 27 73 20 63 6f 6d 6d 65 | 6e 74 65 64 20 6f 75 74 |'s comme|nted out|
|000024e0| 2e 2e 2e 0d 0d 76 6f 69 | 64 20 43 6f 6d 70 75 74 |.....voi|d Comput|
|000024f0| 65 5f 4c 6f 6f 6b 5f 41 | 74 5f 54 72 61 6e 73 66 |e_Look_A|t_Transf|
|00002500| 6f 72 6d 20 28 72 65 73 | 75 6c 74 2c 20 4c 6f 6f |orm (res|ult, Loo|
|00002510| 6b 5f 41 74 2c 20 55 70 | 2c 20 52 69 67 68 74 29 |k_At, Up|, Right)|
|00002520| 0d 20 20 20 54 52 41 4e | 53 46 4f 52 4d 20 2a 72 |. TRAN|SFORM *r|
|00002530| 65 73 75 6c 74 3b 0d 20 | 20 20 56 45 43 54 4f 52 |esult;. | VECTOR|
|00002540| 20 2a 4c 6f 6f 6b 5f 41 | 74 2c 20 2a 55 70 2c 20 | *Look_A|t, *Up, |
|00002550| 2a 52 69 67 68 74 3b 0d | 20 20 20 7b 0d 20 20 20 |*Right;.| {. |
|00002560| 4d 49 64 65 6e 74 69 74 | 79 20 28 28 4d 41 54 52 |MIdentit|y ((MATR|
|00002570| 49 58 20 2a 29 72 65 73 | 75 6c 74 20 2d 3e 20 69 |IX *)res|ult -> i|
|00002580| 6e 76 65 72 73 65 29 3b | 0d 20 20 20 28 72 65 73 |nverse);|. (res|
|00002590| 75 6c 74 20 2d 3e 20 6d | 61 74 72 69 78 29 5b 30 |ult -> m|atrix)[0|
|000025a0| 5d 5b 30 5d 20 3d 20 52 | 69 67 68 74 2d 3e 78 3b |][0] = R|ight->x;|
|000025b0| 0d 20 20 20 28 72 65 73 | 75 6c 74 20 2d 3e 20 6d |. (res|ult -> m|
|000025c0| 61 74 72 69 78 29 5b 30 | 5d 5b 31 5d 20 3d 20 52 |atrix)[0|][1] = R|
|000025d0| 69 67 68 74 2d 3e 79 3b | 0d 20 20 20 28 72 65 73 |ight->y;|. (res|
|000025e0| 75 6c 74 20 2d 3e 20 6d | 61 74 72 69 78 29 5b 30 |ult -> m|atrix)[0|
|000025f0| 5d 5b 32 5d 20 3d 20 52 | 69 67 68 74 2d 3e 7a 3b |][2] = R|ight->z;|
|00002600| 0d 20 20 20 28 72 65 73 | 75 6c 74 20 2d 3e 20 6d |. (res|ult -> m|
|00002610| 61 74 72 69 78 29 5b 31 | 5d 5b 30 5d 20 3d 20 55 |atrix)[1|][0] = U|
|00002620| 70 2d 3e 78 3b 0d 20 20 | 20 28 72 65 73 75 6c 74 |p->x;. | (result|
|00002630| 20 2d 3e 20 6d 61 74 72 | 69 78 29 5b 31 5d 5b 31 | -> matr|ix)[1][1|
|00002640| 5d 20 3d 20 55 70 2d 3e | 79 3b 0d 20 20 20 28 72 |] = Up->|y;. (r|
|00002650| 65 73 75 6c 74 20 2d 3e | 20 6d 61 74 72 69 78 29 |esult ->| matrix)|
|00002660| 5b 31 5d 5b 32 5d 20 3d | 20 55 70 2d 3e 7a 3b 0d |[1][2] =| Up->z;.|
|00002670| 20 20 20 28 72 65 73 75 | 6c 74 20 2d 3e 20 6d 61 | (resu|lt -> ma|
|00002680| 74 72 69 78 29 5b 32 5d | 5b 30 5d 20 3d 20 4c 6f |trix)[2]|[0] = Lo|
|00002690| 6f 6b 5f 41 74 2d 3e 78 | 3b 0d 20 20 20 28 72 65 |ok_At->x|;. (re|
|000026a0| 73 75 6c 74 20 2d 3e 20 | 6d 61 74 72 69 78 29 5b |sult -> |matrix)[|
|000026b0| 32 5d 5b 31 5d 20 3d 20 | 4c 6f 6f 6b 5f 41 74 2d |2][1] = |Look_At-|
|000026c0| 3e 79 3b 0d 20 20 20 28 | 72 65 73 75 6c 74 20 2d |>y;. (|result -|
|000026d0| 3e 20 6d 61 74 72 69 78 | 29 5b 32 5d 5b 32 5d 20 |> matrix|)[2][2] |
|000026e0| 3d 20 4c 6f 6f 6b 5f 41 | 74 2d 3e 7a 3b 0d 0d 20 |= Look_A|t->z;.. |
|000026f0| 20 20 4d 49 64 65 6e 74 | 69 74 79 20 28 28 4d 41 | MIdent|ity ((MA|
|00002700| 54 52 49 58 20 2a 29 72 | 65 73 75 6c 74 20 2d 3e |TRIX *)r|esult ->|
|00002710| 20 6d 61 74 72 69 78 29 | 3b 0d 20 20 20 4d 54 72 | matrix)|;. MTr|
|00002720| 61 6e 73 70 6f 73 65 20 | 28 28 4d 41 54 52 49 58 |anspose |((MATRIX|
|00002730| 20 2a 29 72 65 73 75 6c | 74 20 2d 3e 20 6d 61 74 | *)resul|t -> mat|
|00002740| 72 69 78 2c 20 28 4d 41 | 54 52 49 58 20 2a 29 72 |rix, (MA|TRIX *)r|
|00002750| 65 73 75 6c 74 20 2d 3e | 20 69 6e 76 65 72 73 65 |esult ->| inverse|
|00002760| 29 3b 20 20 20 0d 20 20 | 20 7d 0d 0d 2e 2e 2e 20 |); . | }..... |
|00002770| 75 70 20 74 6f 20 68 65 | 72 65 21 20 2a 2f 0d 0d |up to he|re! */..|
|00002780| 76 6f 69 64 20 43 6f 6d | 70 6f 73 65 5f 54 72 61 |void Com|pose_Tra|
|00002790| 6e 73 66 6f 72 6d 73 20 | 28 4f 72 69 67 69 6e 61 |nsforms |(Origina|
|000027a0| 6c 5f 54 72 61 6e 73 66 | 6f 72 6d 2c 20 4e 65 77 |l_Transf|orm, New|
|000027b0| 5f 54 72 61 6e 73 66 6f | 72 6d 29 0d 54 52 41 4e |_Transfo|rm).TRAN|
|000027c0| 53 46 4f 52 4d 20 2a 4f | 72 69 67 69 6e 61 6c 5f |SFORM *O|riginal_|
|000027d0| 54 72 61 6e 73 66 6f 72 | 6d 2c 20 2a 4e 65 77 5f |Transfor|m, *New_|
|000027e0| 54 72 61 6e 73 66 6f 72 | 6d 3b 0d 20 20 7b 0d 20 |Transfor|m;. {. |
|000027f0| 20 4d 54 69 6d 65 73 20 | 28 28 4d 41 54 52 49 58 | MTimes |((MATRIX|
|00002800| 20 2a 29 4f 72 69 67 69 | 6e 61 6c 5f 54 72 61 6e | *)Origi|nal_Tran|
|00002810| 73 66 6f 72 6d 20 2d 3e | 20 6d 61 74 72 69 78 2c |sform ->| matrix,|
|00002820| 0d 20 20 20 20 28 4d 41 | 54 52 49 58 20 2a 29 4f |. (MA|TRIX *)O|
|00002830| 72 69 67 69 6e 61 6c 5f | 54 72 61 6e 73 66 6f 72 |riginal_|Transfor|
|00002840| 6d 20 2d 3e 20 6d 61 74 | 72 69 78 2c 0d 20 20 20 |m -> mat|rix,. |
|00002850| 20 28 4d 41 54 52 49 58 | 20 2a 29 4e 65 77 5f 54 | (MATRIX| *)New_T|
|00002860| 72 61 6e 73 66 6f 72 6d | 20 2d 3e 20 6d 61 74 72 |ransform| -> matr|
|00002870| 69 78 29 3b 0d 0d 20 20 | 4d 54 69 6d 65 73 20 28 |ix);.. |MTimes (|
|00002880| 28 4d 41 54 52 49 58 20 | 2a 29 4f 72 69 67 69 6e |(MATRIX |*)Origin|
|00002890| 61 6c 5f 54 72 61 6e 73 | 66 6f 72 6d 20 2d 3e 20 |al_Trans|form -> |
|000028a0| 69 6e 76 65 72 73 65 2c | 0d 20 20 20 20 28 4d 41 |inverse,|. (MA|
|000028b0| 54 52 49 58 20 2a 29 4e | 65 77 5f 54 72 61 6e 73 |TRIX *)N|ew_Trans|
|000028c0| 66 6f 72 6d 20 2d 3e 20 | 69 6e 76 65 72 73 65 2c |form -> |inverse,|
|000028d0| 0d 20 20 20 20 28 4d 41 | 54 52 49 58 20 2a 29 4f |. (MA|TRIX *)O|
|000028e0| 72 69 67 69 6e 61 6c 5f | 54 72 61 6e 73 66 6f 72 |riginal_|Transfor|
|000028f0| 6d 20 2d 3e 20 69 6e 76 | 65 72 73 65 29 3b 0d 20 |m -> inv|erse);. |
|00002900| 20 7d 0d 0d 2f 2a 20 52 | 6f 74 61 74 69 6f 6e 20 | }../* R|otation |
|00002910| 61 62 6f 75 74 20 61 6e | 20 61 72 62 69 74 72 61 |about an| arbitra|
|00002920| 72 79 20 61 78 69 73 20 | 2d 20 66 6f 72 6d 75 6c |ry axis |- formul|
|00002930| 61 20 66 72 6f 6d 3a 0d | 20 20 20 20 20 20 22 43 |a from:.| "C|
|00002940| 6f 6d 70 75 74 61 74 69 | 6f 6e 61 6c 20 47 65 6f |omputati|onal Geo|
|00002950| 6d 65 74 72 79 20 66 6f | 72 20 44 65 73 69 67 6e |metry fo|r Design|
|00002960| 20 61 6e 64 20 4d 61 6e | 75 66 61 63 74 75 72 65 | and Man|ufacture|
|00002970| 22 2c 0d 20 20 20 20 20 | 20 46 61 75 78 20 26 20 |",. | Faux & |
|00002980| 50 72 61 74 74 0d 20 20 | 20 4e 6f 74 65 20 74 68 |Pratt. | Note th|
|00002990| 61 74 20 74 68 65 20 61 | 6e 67 6c 65 73 20 66 6f |at the a|ngles fo|
|000029a0| 72 20 74 68 69 73 20 74 | 72 61 6e 73 66 6f 72 6d |r this t|ransform|
|000029b0| 20 61 72 65 20 73 70 65 | 63 69 66 69 65 64 20 69 | are spe|cified i|
|000029c0| 6e 20 72 61 64 69 61 6e | 73 2e 0d 2a 2f 0d 76 6f |n radian|s..*/.vo|
|000029d0| 69 64 20 43 6f 6d 70 75 | 74 65 5f 41 78 69 73 5f |id Compu|te_Axis_|
|000029e0| 52 6f 74 61 74 69 6f 6e | 5f 54 72 61 6e 73 66 6f |Rotation|_Transfo|
|000029f0| 72 6d 20 28 74 72 61 6e | 73 66 6f 72 6d 2c 20 56 |rm (tran|sform, V|
|00002a00| 2c 20 61 6e 67 6c 65 29 | 0d 54 52 41 4e 53 46 4f |, angle)|.TRANSFO|
|00002a10| 52 4d 20 2a 74 72 61 6e | 73 66 6f 72 6d 3b 0d 56 |RM *tran|sform;.V|
|00002a20| 45 43 54 4f 52 20 2a 56 | 3b 0d 44 42 4c 20 61 6e |ECTOR *V|;.DBL an|
|00002a30| 67 6c 65 3b 0d 20 20 7b | 0d 20 20 44 42 4c 20 6c |gle;. {|. DBL l|
|00002a40| 2c 20 63 6f 73 78 2c 20 | 73 69 6e 78 3b 0d 0d 20 |, cosx, |sinx;.. |
|00002a50| 20 56 4c 65 6e 67 74 68 | 28 6c 2c 20 2a 56 29 3b | VLength|(l, *V);|
|00002a60| 0d 20 20 56 49 6e 76 65 | 72 73 65 53 63 61 6c 65 |. VInve|rseScale|
|00002a70| 45 71 28 2a 56 2c 20 6c | 29 3b 0d 0d 20 20 4d 49 |Eq(*V, l|);.. MI|
|00002a80| 64 65 6e 74 69 74 79 28 | 26 74 72 61 6e 73 66 6f |dentity(|&transfo|
|00002a90| 72 6d 2d 3e 6d 61 74 72 | 69 78 29 3b 0d 20 20 63 |rm->matr|ix);. c|
|00002aa0| 6f 73 78 20 3d 20 63 6f | 73 28 61 6e 67 6c 65 29 |osx = co|s(angle)|
|00002ab0| 3b 0d 20 20 73 69 6e 78 | 20 3d 20 73 69 6e 28 61 |;. sinx| = sin(a|
|00002ac0| 6e 67 6c 65 29 3b 0d 20 | 20 74 72 61 6e 73 66 6f |ngle);. | transfo|
|00002ad0| 72 6d 2d 3e 6d 61 74 72 | 69 78 5b 30 5d 5b 30 5d |rm->matr|ix[0][0]|
|00002ae0| 20 3d 20 56 2d 3e 78 20 | 2a 20 56 2d 3e 78 20 2b | = V->x |* V->x +|
|00002af0| 20 63 6f 73 78 20 2a 20 | 28 31 2e 30 20 2d 20 56 | cosx * |(1.0 - V|
|00002b00| 2d 3e 78 20 2a 20 56 2d | 3e 78 29 3b 0d 20 20 74 |->x * V-|>x);. t|
|00002b10| 72 61 6e 73 66 6f 72 6d | 2d 3e 6d 61 74 72 69 78 |ransform|->matrix|
|00002b20| 5b 30 5d 5b 31 5d 20 3d | 20 56 2d 3e 78 20 2a 20 |[0][1] =| V->x * |
|00002b30| 56 2d 3e 79 20 2a 20 28 | 31 2e 30 20 2d 20 63 6f |V->y * (|1.0 - co|
|00002b40| 73 78 29 20 2b 20 56 2d | 3e 7a 20 2a 20 73 69 6e |sx) + V-|>z * sin|
|00002b50| 78 3b 0d 20 20 74 72 61 | 6e 73 66 6f 72 6d 2d 3e |x;. tra|nsform->|
|00002b60| 6d 61 74 72 69 78 5b 30 | 5d 5b 32 5d 20 3d 20 56 |matrix[0|][2] = V|
|00002b70| 2d 3e 78 20 2a 20 56 2d | 3e 7a 20 2a 20 28 31 2e |->x * V-|>z * (1.|
|00002b80| 30 20 2d 20 63 6f 73 78 | 29 20 2d 20 56 2d 3e 79 |0 - cosx|) - V->y|
|00002b90| 20 2a 20 73 69 6e 78 3b | 0d 20 20 74 72 61 6e 73 | * sinx;|. trans|
|00002ba0| 66 6f 72 6d 2d 3e 6d 61 | 74 72 69 78 5b 31 5d 5b |form->ma|trix[1][|
|00002bb0| 30 5d 20 3d 20 56 2d 3e | 78 20 2a 20 56 2d 3e 79 |0] = V->|x * V->y|
|00002bc0| 20 2a 20 28 31 2e 30 20 | 2d 20 63 6f 73 78 29 20 | * (1.0 |- cosx) |
|00002bd0| 2d 20 56 2d 3e 7a 20 2a | 20 73 69 6e 78 3b 0d 20 |- V->z *| sinx;. |
|00002be0| 20 74 72 61 6e 73 66 6f | 72 6d 2d 3e 6d 61 74 72 | transfo|rm->matr|
|00002bf0| 69 78 5b 31 5d 5b 31 5d | 20 3d 20 56 2d 3e 79 20 |ix[1][1]| = V->y |
|00002c00| 2a 20 56 2d 3e 79 20 2b | 20 63 6f 73 78 20 2a 20 |* V->y +| cosx * |
|00002c10| 28 31 2e 30 20 2d 20 56 | 2d 3e 79 20 2a 20 56 2d |(1.0 - V|->y * V-|
|00002c20| 3e 79 29 3b 0d 20 20 74 | 72 61 6e 73 66 6f 72 6d |>y);. t|ransform|
|00002c30| 2d 3e 6d 61 74 72 69 78 | 5b 31 5d 5b 32 5d 20 3d |->matrix|[1][2] =|
|00002c40| 20 56 2d 3e 79 20 2a 20 | 56 2d 3e 7a 20 2a 20 28 | V->y * |V->z * (|
|00002c50| 31 2e 30 20 2d 20 63 6f | 73 78 29 20 2b 20 56 2d |1.0 - co|sx) + V-|
|00002c60| 3e 78 20 2a 20 73 69 6e | 78 3b 0d 20 20 74 72 61 |>x * sin|x;. tra|
|00002c70| 6e 73 66 6f 72 6d 2d 3e | 6d 61 74 72 69 78 5b 32 |nsform->|matrix[2|
|00002c80| 5d 5b 30 5d 20 3d 20 56 | 2d 3e 78 20 2a 20 56 2d |][0] = V|->x * V-|
|00002c90| 3e 7a 20 2a 20 28 31 2e | 30 20 2d 20 63 6f 73 78 |>z * (1.|0 - cosx|
|00002ca0| 29 20 2b 20 56 2d 3e 79 | 20 2a 20 73 69 6e 78 3b |) + V->y| * sinx;|
|00002cb0| 0d 20 20 74 72 61 6e 73 | 66 6f 72 6d 2d 3e 6d 61 |. trans|form->ma|
|00002cc0| 74 72 69 78 5b 32 5d 5b | 31 5d 20 3d 20 56 2d 3e |trix[2][|1] = V->|
|00002cd0| 79 20 2a 20 56 2d 3e 7a | 20 2a 20 28 31 2e 30 20 |y * V->z| * (1.0 |
|00002ce0| 2d 20 63 6f 73 78 29 20 | 2d 20 56 2d 3e 78 20 2a |- cosx) |- V->x *|
|00002cf0| 20 73 69 6e 78 3b 0d 20 | 20 74 72 61 6e 73 66 6f | sinx;. | transfo|
|00002d00| 72 6d 2d 3e 6d 61 74 72 | 69 78 5b 32 5d 5b 32 5d |rm->matr|ix[2][2]|
|00002d10| 20 3d 20 56 2d 3e 7a 20 | 2a 20 56 2d 3e 7a 20 2b | = V->z |* V->z +|
|00002d20| 20 63 6f 73 78 20 2a 20 | 28 31 2e 30 20 2d 20 56 | cosx * |(1.0 - V|
|00002d30| 2d 3e 7a 20 2a 20 56 2d | 3e 7a 29 3b 0d 20 20 4d |->z * V-|>z);. M|
|00002d40| 54 72 61 6e 73 70 6f 73 | 65 28 26 74 72 61 6e 73 |Transpos|e(&trans|
|00002d50| 66 6f 72 6d 2d 3e 69 6e | 76 65 72 73 65 2c 20 26 |form->in|verse, &|
|00002d60| 74 72 61 6e 73 66 6f 72 | 6d 2d 3e 6d 61 74 72 69 |transfor|m->matri|
|00002d70| 78 29 3b 20 20 20 0d 20 | 20 7d 0d 0d 2f 2a 20 47 |x); . | }../* G|
|00002d80| 69 76 65 6e 20 61 20 70 | 6f 69 6e 74 20 61 6e 64 |iven a p|oint and|
|00002d90| 20 61 20 64 69 72 65 63 | 74 69 6f 6e 20 61 6e 64 | a direc|tion and|
|00002da0| 20 61 20 72 61 64 69 75 | 73 2c 20 66 69 6e 64 20 | a radiu|s, find |
|00002db0| 74 68 65 20 74 72 61 6e | 73 66 6f 72 6d 0d 20 20 |the tran|sform. |
|00002dc0| 20 74 68 61 74 20 62 72 | 69 6e 67 73 20 74 68 65 | that br|ings the|
|00002dd0| 73 65 20 69 6e 74 6f 20 | 61 20 63 61 6e 6f 6e 69 |se into |a canoni|
|00002de0| 63 61 6c 20 63 6f 6f 72 | 64 69 6e 61 74 65 20 73 |cal coor|dinate s|
|00002df0| 79 73 74 65 6d 20 2a 2f | 0d 76 6f 69 64 0d 43 6f |ystem */|.void.Co|
|00002e00| 6d 70 75 74 65 5f 43 6f | 6f 72 64 69 6e 61 74 65 |mpute_Co|ordinate|
|00002e10| 5f 54 72 61 6e 73 66 6f | 72 6d 28 74 72 61 6e 73 |_Transfo|rm(trans|
|00002e20| 2c 20 6f 72 69 67 69 6e | 2c 20 75 70 2c 20 72 61 |, origin|, up, ra|
|00002e30| 64 69 75 73 2c 20 6c 65 | 6e 67 74 68 29 0d 54 52 |dius, le|ngth).TR|
|00002e40| 41 4e 53 46 4f 52 4d 20 | 2a 74 72 61 6e 73 3b 0d |ANSFORM |*trans;.|
|00002e50| 56 45 43 54 4f 52 20 2a | 6f 72 69 67 69 6e 3b 0d |VECTOR *|origin;.|
|00002e60| 56 45 43 54 4f 52 20 2a | 75 70 3b 0d 44 42 4c 20 |VECTOR *|up;.DBL |
|00002e70| 72 61 64 69 75 73 3b 0d | 44 42 4c 20 6c 65 6e 67 |radius;.|DBL leng|
|00002e80| 74 68 3b 0d 20 20 7b 0d | 20 20 54 52 41 4e 53 46 |th;. {.| TRANSF|
|00002e90| 4f 52 4d 20 74 72 61 6e | 73 32 3b 0d 20 20 56 45 |ORM tran|s2;. VE|
|00002ea0| 43 54 4f 52 20 74 6d 70 | 76 3b 0d 0d 20 20 4d 61 |CTOR tmp|v;.. Ma|
|00002eb0| 6b 65 5f 56 65 63 74 6f | 72 28 26 74 6d 70 76 2c |ke_Vecto|r(&tmpv,|
|00002ec0| 20 72 61 64 69 75 73 2c | 20 72 61 64 69 75 73 2c | radius,| radius,|
|00002ed0| 20 6c 65 6e 67 74 68 29 | 3b 0d 20 20 43 6f 6d 70 | length)|;. Comp|
|00002ee0| 75 74 65 5f 53 63 61 6c | 69 6e 67 5f 54 72 61 6e |ute_Scal|ing_Tran|
|00002ef0| 73 66 6f 72 6d 28 74 72 | 61 6e 73 2c 20 26 74 6d |sform(tr|ans, &tm|
|00002f00| 70 76 29 3b 0d 20 20 69 | 66 20 28 66 61 62 73 28 |pv);. i|f (fabs(|
|00002f10| 75 70 2d 3e 7a 29 20 3d | 3d 20 31 2e 30 29 0d 20 |up->z) =|= 1.0). |
|00002f20| 20 20 20 4d 61 6b 65 5f | 56 65 63 74 6f 72 28 26 | Make_|Vector(&|
|00002f30| 74 6d 70 76 2c 20 31 2e | 30 2c 20 30 2e 30 2c 20 |tmpv, 1.|0, 0.0, |
|00002f40| 30 2e 30 29 0d 65 6c 73 | 65 0d 20 20 4d 61 6b 65 |0.0).els|e. Make|
|00002f50| 5f 56 65 63 74 6f 72 28 | 26 74 6d 70 76 2c 20 2d |_Vector(|&tmpv, -|
|00002f60| 75 70 2d 3e 79 2c 20 75 | 70 2d 3e 78 2c 20 30 2e |up->y, u|p->x, 0.|
|00002f70| 30 29 0d 20 20 20 20 43 | 6f 6d 70 75 74 65 5f 41 |0). C|ompute_A|
|00002f80| 78 69 73 5f 52 6f 74 61 | 74 69 6f 6e 5f 54 72 61 |xis_Rota|tion_Tra|
|00002f90| 6e 73 66 6f 72 6d 28 26 | 74 72 61 6e 73 32 2c 20 |nsform(&|trans2, |
|00002fa0| 26 74 6d 70 76 2c 20 61 | 63 6f 73 28 75 70 2d 3e |&tmpv, a|cos(up->|
|00002fb0| 7a 29 29 3b 0d 43 6f 6d | 70 6f 73 65 5f 54 72 61 |z));.Com|pose_Tra|
|00002fc0| 6e 73 66 6f 72 6d 73 28 | 74 72 61 6e 73 2c 20 26 |nsforms(|trans, &|
|00002fd0| 74 72 61 6e 73 32 29 3b | 0d 43 6f 6d 70 75 74 65 |trans2);|.Compute|
|00002fe0| 5f 54 72 61 6e 73 6c 61 | 74 69 6f 6e 5f 54 72 61 |_Transla|tion_Tra|
|00002ff0| 6e 73 66 6f 72 6d 28 26 | 74 72 61 6e 73 32 2c 20 |nsform(&|trans2, |
|00003000| 6f 72 69 67 69 6e 29 3b | 0d 43 6f 6d 70 6f 73 65 |origin);|.Compose|
|00003010| 5f 54 72 61 6e 73 66 6f | 72 6d 73 28 74 72 61 6e |_Transfo|rms(tran|
|00003020| 73 2c 20 26 74 72 61 6e | 73 32 29 3b 0d 7d 0d 0d |s, &tran|s2);.}..|
|00003030| 54 52 41 4e 53 46 4f 52 | 4d 20 2a 43 72 65 61 74 |TRANSFOR|M *Creat|
|00003040| 65 5f 54 72 61 6e 73 66 | 6f 72 6d 28 29 0d 7b 0d |e_Transf|orm().{.|
|00003050| 54 52 41 4e 53 46 4f 52 | 4d 20 2a 4e 65 77 3b 0d |TRANSFOR|M *New;.|
|00003060| 0d 69 66 20 28 28 4e 65 | 77 20 3d 20 28 54 52 41 |.if ((Ne|w = (TRA|
|00003070| 4e 53 46 4f 52 4d 20 2a | 29 20 6d 61 6c 6c 6f 63 |NSFORM *|) malloc|
|00003080| 20 28 73 69 7a 65 6f 66 | 20 28 54 52 41 4e 53 46 | (sizeof| (TRANSF|
|00003090| 4f 52 4d 29 29 29 20 3d | 3d 20 4e 55 4c 4c 29 0d |ORM))) =|= NULL).|
|000030a0| 4d 41 45 72 72 6f 72 20 | 28 22 74 72 61 6e 73 66 |MAError |("transf|
|000030b0| 6f 72 6d 22 29 3b 0d 0d | 4d 49 64 65 6e 74 69 74 |orm");..|MIdentit|
|000030c0| 79 20 28 28 4d 41 54 52 | 49 58 20 2a 29 20 26 28 |y ((MATR|IX *) &(|
|000030d0| 4e 65 77 20 2d 3e 20 6d | 61 74 72 69 78 5b 30 5d |New -> m|atrix[0]|
|000030e0| 5b 30 5d 29 29 3b 0d 4d | 49 64 65 6e 74 69 74 79 |[0]));.M|Identity|
|000030f0| 20 28 28 4d 41 54 52 49 | 58 20 2a 29 20 26 28 4e | ((MATRI|X *) &(N|
|00003100| 65 77 20 2d 3e 20 69 6e | 76 65 72 73 65 5b 30 5d |ew -> in|verse[0]|
|00003110| 5b 30 5d 29 29 3b 0d 72 | 65 74 75 72 6e 20 28 4e |[0]));.r|eturn (N|
|00003120| 65 77 29 3b 0d 7d 0d 0d | 54 52 41 4e 53 46 4f 52 |ew);.}..|TRANSFOR|
|00003130| 4d 20 2a 43 6f 70 79 5f | 54 72 61 6e 73 66 6f 72 |M *Copy_|Transfor|
|00003140| 6d 20 28 4f 6c 64 29 0d | 54 52 41 4e 53 46 4f 52 |m (Old).|TRANSFOR|
|00003150| 4d 20 2a 4f 6c 64 3b 0d | 7b 0d 54 52 41 4e 53 46 |M *Old;.|{.TRANSF|
|00003160| 4f 52 4d 20 2a 4e 65 77 | 3b 0d 69 66 20 28 4f 6c |ORM *New|;.if (Ol|
|00003170| 64 20 21 3d 20 4e 55 4c | 4c 29 0d 20 20 7b 0d 20 |d != NUL|L). {. |
|00003180| 20 4e 65 77 20 20 3d 20 | 43 72 65 61 74 65 5f 54 | New = |Create_T|
|00003190| 72 61 6e 73 66 6f 72 6d | 20 28 29 3b 0d 20 20 2a |ransform| ();. *|
|000031a0| 4e 65 77 20 3d 20 2a 4f | 6c 64 3b 0d 20 20 7d 0d |New = *O|ld;. }.|
|000031b0| 65 6c 73 65 20 4e 65 77 | 20 3d 20 4e 55 4c 4c 3b |else New| = NULL;|
|000031c0| 0d 72 65 74 75 72 6e 20 | 28 4e 65 77 29 3b 0d 7d |.return |(New);.}|
|000031d0| 0d 0d 56 45 43 54 4f 52 | 20 2a 43 72 65 61 74 65 |..VECTOR| *Create|
|000031e0| 5f 56 65 63 74 6f 72 20 | 28 29 0d 7b 0d 56 45 43 |_Vector |().{.VEC|
|000031f0| 54 4f 52 20 2a 4e 65 77 | 3b 0d 0d 69 66 20 28 28 |TOR *New|;..if ((|
|00003200| 4e 65 77 20 3d 20 28 56 | 45 43 54 4f 52 20 2a 29 |New = (V|ECTOR *)|
|00003210| 20 6d 61 6c 6c 6f 63 20 | 28 73 69 7a 65 6f 66 20 | malloc |(sizeof |
|00003220| 28 56 45 43 54 4f 52 29 | 29 29 20 3d 3d 20 4e 55 |(VECTOR)|)) == NU|
|00003230| 4c 4c 29 0d 4d 41 45 72 | 72 6f 72 20 28 22 76 65 |LL).MAEr|ror ("ve|
|00003240| 63 74 6f 72 22 29 3b 0d | 0d 4d 61 6b 65 5f 56 65 |ctor");.|.Make_Ve|
|00003250| 63 74 6f 72 20 28 4e 65 | 77 2c 20 30 2e 30 2c 20 |ctor (Ne|w, 0.0, |
|00003260| 30 2e 30 2c 20 30 2e 30 | 29 3b 0d 0d 72 65 74 75 |0.0, 0.0|);..retu|
|00003270| 72 6e 20 28 4e 65 77 29 | 3b 0d 7d 0d 0d 56 45 43 |rn (New)|;.}..VEC|
|00003280| 54 4f 52 20 2a 43 6f 70 | 79 5f 56 65 63 74 6f 72 |TOR *Cop|y_Vector|
|00003290| 20 28 4f 6c 64 29 0d 56 | 45 43 54 4f 52 20 2a 4f | (Old).V|ECTOR *O|
|000032a0| 6c 64 3b 0d 7b 0d 56 45 | 43 54 4f 52 20 2a 4e 65 |ld;.{.VE|CTOR *Ne|
|000032b0| 77 3b 0d 69 66 20 28 4f | 6c 64 20 21 3d 20 4e 55 |w;.if (O|ld != NU|
|000032c0| 4c 4c 29 0d 20 20 7b 0d | 20 20 4e 65 77 20 20 3d |LL). {.| New =|
|000032d0| 20 43 72 65 61 74 65 5f | 56 65 63 74 6f 72 20 28 | Create_|Vector (|
|000032e0| 29 3b 0d 20 20 2a 4e 65 | 77 20 3d 20 2a 4f 6c 64 |);. *Ne|w = *Old|
|000032f0| 3b 0d 20 20 7d 0d 65 6c | 73 65 20 4e 65 77 20 3d |;. }.el|se New =|
|00003300| 20 4e 55 4c 4c 3b 0d 72 | 65 74 75 72 6e 20 28 4e | NULL;.r|eturn (N|
|00003310| 65 77 29 3b 0d 7d 0d 0d | 44 42 4c 20 2a 43 72 65 |ew);.}..|DBL *Cre|
|00003320| 61 74 65 5f 46 6c 6f 61 | 74 20 28 29 0d 7b 0d 44 |ate_Floa|t ().{.D|
|00003330| 42 4c 20 2a 4e 65 77 5f | 46 6c 6f 61 74 3b 0d 0d |BL *New_|Float;..|
|00003340| 69 66 20 28 28 4e 65 77 | 5f 46 6c 6f 61 74 20 3d |if ((New|_Float =|
|00003350| 20 28 44 42 4c 20 2a 29 | 20 6d 61 6c 6c 6f 63 20 | (DBL *)| malloc |
|00003360| 28 73 69 7a 65 6f 66 20 | 28 44 42 4c 29 29 29 20 |(sizeof |(DBL))) |
|00003370| 3d 3d 20 4e 55 4c 4c 29 | 0d 4d 41 45 72 72 6f 72 |== NULL)|.MAError|
|00003380| 20 28 22 66 6c 6f 61 74 | 22 29 3b 0d 0d 2a 4e 65 | ("float|");..*Ne|
|00003390| 77 5f 46 6c 6f 61 74 20 | 3d 20 30 2e 30 3b 0d 72 |w_Float |= 0.0;.r|
|000033a0| 65 74 75 72 6e 20 28 4e | 65 77 5f 46 6c 6f 61 74 |eturn (N|ew_Float|
|000033b0| 29 3b 0d 7d 0d 0d 44 42 | 4c 20 2a 43 6f 70 79 5f |);.}..DB|L *Copy_|
|000033c0| 46 6c 6f 61 74 20 28 4f | 6c 64 29 0d 44 42 4c 20 |Float (O|ld).DBL |
|000033d0| 2a 4f 6c 64 3b 0d 7b 0d | 44 42 4c 20 2a 4e 65 77 |*Old;.{.|DBL *New|
|000033e0| 3b 0d 69 66 20 28 4f 6c | 64 29 0d 20 20 7b 0d 20 |;.if (Ol|d). {. |
|000033f0| 20 4e 65 77 20 20 3d 20 | 43 72 65 61 74 65 5f 46 | New = |Create_F|
|00003400| 6c 6f 61 74 20 28 29 3b | 0d 20 20 2a 4e 65 77 20 |loat ();|. *New |
|00003410| 3d 20 2a 4f 6c 64 3b 0d | 20 20 7d 0d 65 6c 73 65 |= *Old;.| }.else|
|00003420| 20 4e 65 77 20 3d 20 4e | 55 4c 4c 3b 0d 72 65 74 | New = N|ULL;.ret|
|00003430| 75 72 6e 20 28 4e 65 77 | 29 3b 0d 7d 0d 0d 00 00 |urn (New|);.}....|
|00003440| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00003450| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00003460| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00003470| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00003480| 00 00 01 00 00 00 01 6e | 00 00 00 6e 00 00 00 3e |.......n|...n...>|
|00003490| 61 70 5f 76 69 72 74 75 | 61 6c 5f 73 65 67 6d 65 |ap_virtu|al_segme|
|000034a0| 6e 74 20 28 69 29 3b 0d | 09 09 09 09 09 6d 79 5f |nt (i);.|.....my_|
|000034b0| 0a 4d 41 54 52 49 43 45 | 53 2e 43 00 02 00 00 00 |.MATRICE|S.C.....|
|000034c0| 54 45 58 54 4d 50 53 20 | 01 08 ff ff ff ff 00 00 |TEXTMPS |........|
|000034d0| 00 00 54 45 58 54 4d 50 | 53 20 01 08 ff ff ff ff |..TEXTMP|S ......|
|000034e0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000034f0| 00 00 a8 7c 7b 8a 00 00 | 33 be 00 00 01 ac 09 09 |...|{...|3.......|
|00003500| 09 09 6d 79 5f 62 6f 75 | 6e 64 73 2e 74 6f 70 20 |..my_bou|nds.top |
|00003510| 3d 20 28 69 20 2a 20 6d | 61 67 46 61 63 74 6f 72 |= (i * m|agFactor|
|00003520| 29 3b 0d 09 09 09 09 09 | 6d 79 5f 62 6f 75 6e 64 |);......|my_bound|
|00003530| 73 2e 62 6f 74 74 6f 6d | 20 3d 20 6d 79 5f 62 6f |s.bottom| = my_bo|
|00003540| 75 6e 64 73 2e 74 6f 70 | 20 2b 20 28 76 69 72 74 |unds.top| + (virt|
|00003550| 75 61 6c 5f 70 69 78 48 | 65 69 67 68 74 20 2a 20 |ual_pixH|eight * |
|00003560| 6d 61 67 46 61 63 74 6f | 72 29 3b 0d 09 09 09 09 |magFacto|r);.....|
|00003570| 09 2f 2a 20 64 6f 6e 27 | 74 20 77 6f 72 72 79 20 |./* don'|t worry |
|00003580| 00 00 00 48 00 09 4d 6f | 6e 61 63 6f 00 2a 2a 2a |...H..Mo|naco.***|
|00003590| 2a 2a 2a 2a 2a 2a 2a 2a | 2a 2a 2a 2a 2a 2a 2a 2a |********|********|
|000035a0| 2a 0d 2a 20 20 20 00 06 | 00 04 00 3c 00 24 01 dd |*.* ..|...<.$..|
|000035b0| 02 3d 00 3c 00 24 01 dd | 02 3d a8 7c 7b 8a 00 00 |.=.<.$..|.=.|{...|
|000035c0| 00 00 00 00 00 00 00 00 | 00 00 01 00 00 00 00 1e |........|........|
|000035d0| 00 3c 00 24 01 dd 02 3d | 00 3c 00 24 01 dd 02 3d |.<.$...=|.<.$...=|
|000035e0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000035f0| 01 00 00 00 01 6e 00 00 | 00 6e 00 00 00 3e 00 8d |.....n..|.n...>..|
|00003600| 3b f8 18 3e 00 00 00 1c | 00 3e 00 00 4d 50 53 52 |;..>....|.>..MPSR|
|00003610| 00 01 00 0a 03 ed ff ff | 00 00 00 00 00 00 00 00 |........|........|
|00003620| 03 f0 ff ff 00 00 00 4c | 00 8f 98 94 00 00 00 00 |.......L|........|
|00003630| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00003640| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00003650| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00003660| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00003670| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
+--------+-------------------------+-------------------------+--------+--------+
