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MacBinary  |  1994-07-24  |  25.4 KB  |  [COLF/HLX2]

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This file was processed as: MacBinary (archive/macBinary).

ConfidenceProgramDetectionMatch TypeSupport
10% dexvert MacBinary (archive/macBinary) fallback Supported
100% file MacBinary II, inited, Fri Jul 22 11:27:37 1994, modified Sun Jul 24 14:24:17 1994, creator 'HLX2', type 'COLF', 25407 bytes " PowerPC Collection" Adobe Photoshop Color swatch, version 0, 1 colors; 1st RGB space (0), w 0x2, x 0, y 0, z 0, at 0x63bf 286 bytes resource Adobe Photoshop Color swatch, version 0, 1 colors; 1st RGB space (0), w 0x2, x 0, y 0, z 0 default (weak)
99% file data default
100% TrID MacBinary 2 default (weak)
100% siegfried fmt/1762 MacBinary (II) default
100% lsar MacBinary default


id metadata
keyvalue
macFileType[COLF]
macFileCreator[HLX2]



hex view
+--------+-------------------------+-------------------------+--------+--------+
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|00002ea0| 01 a2 00 05 be c4 01 a3 | 0c 50 50 43 20 4e 75 6d |........|.PPC Num|
|00002eb0| 65 72 69 63 73 11 50 6f | 77 65 72 50 43 20 4e 75 |erics.Po|werPC Nu|
|00002ec0| 6d 65 72 69 63 73 0d 08 | 43 6f 6e 74 65 6e 74 73 |merics..|Contents|
|00002ed0| 1d 46 69 67 75 72 65 73 | 2c 20 54 61 62 6c 65 73 |.Figures|, Tables|
|00002ee0| 2c 20 61 6e 64 20 4c 69 | 73 74 69 6e 67 73 10 0d |, and Li|stings..|
|00002ef0| 41 62 6f 75 74 20 54 68 | 69 73 20 42 6f 6f 6b 14 |About Th|is Book.|
|00002f00| 0d 57 68 61 74 d5 73 20 | 69 6e 20 54 68 69 73 20 |.What.s |in This |
|00002f10| 42 6f 6f 6b 1d 43 6f 6e | 76 65 6e 74 69 6f 6e 73 |Book.Con|ventions|
|00002f20| 20 55 73 65 64 20 69 6e | 20 54 68 69 73 20 42 6f | Used in| This Bo|
|00002f30| 6f 6b 0e 0d 53 70 65 63 | 69 61 6c 20 46 6f 6e 74 |ok..Spec|ial Font|
|00002f40| 73 0e 54 79 70 65 73 20 | 6f 66 20 4e 6f 74 65 73 |s.Types |of Notes|
|00002f50| 14 46 6f 72 20 4d 6f 72 | 65 20 49 6e 66 6f 72 6d |.For Mor|e Inform|
|00002f60| 61 74 69 6f 6e 21 0d 54 | 68 65 20 50 6f 77 65 72 |ation!.T|he Power|
|00002f70| 50 43 20 4e 75 6d 65 72 | 69 63 73 20 45 6e 76 69 |PC Numer|ics Envi|
|00002f80| 72 6f 6e 6d 65 6e 74 18 | 49 45 45 45 20 53 74 61 |ronment.|IEEE Sta|
|00002f90| 6e 64 61 72 64 20 41 72 | 69 74 68 6d 65 74 69 63 |ndard Ar|ithmetic|
|00002fa0| 17 41 62 6f 75 74 20 74 | 68 65 20 49 45 45 45 20 |.About t|he IEEE |
|00002fb0| 53 74 61 6e 64 61 72 64 | 27 54 61 62 6c 65 20 31 |Standard|'Table 1|
|00002fc0| 2d 31 09 41 70 70 72 6f | 78 69 6d 61 74 69 6f 6e |-1.Appro|ximation|
|00002fd0| 20 6f 66 20 72 65 61 6c | 20 6e 75 6d 62 65 72 73 | of real| numbers|
|00002fe0| 20 0d 53 74 61 72 74 69 | 6e 67 20 74 6f 20 55 73 | .Starti|ng to Us|
|00002ff0| 65 20 49 45 45 45 20 41 | 72 69 74 68 6d 65 74 69 |e IEEE A|rithmeti|
|00003000| 63 11 43 61 72 65 66 75 | 6c 20 52 6f 75 6e 64 69 |c.Carefu|l Roundi|
|00003010| 6e 67 20 1e 4c 69 73 74 | 69 6e 67 20 31 2d 31 09 |ng .List|ing 1-1.|
|00003020| 49 6e 76 65 72 73 65 20 | 6f 70 65 72 61 74 69 6f |Inverse |operatio|
|00003030| 6e 73 12 45 78 63 65 70 | 74 69 6f 6e 20 48 61 6e |ns.Excep|tion Han|
|00003040| 64 6c 69 6e 67 23 45 78 | 61 6d 70 6c 65 3a 20 46 |dling#Ex|ample: F|
|00003050| 69 6e 64 69 6e 67 20 5a | 65 72 6f 20 52 65 74 75 |inding Z|ero Retu|
|00003060| 72 6e 20 56 61 6c 75 65 | 73 24 45 78 61 6d 70 6c |rn Value|s$Exampl|
|00003070| 65 3a 20 53 65 61 72 63 | 68 69 6e 67 20 57 69 74 |e: Searc|hing Wit|
|00003080| 68 6f 75 74 20 53 74 6f | 70 70 69 6e 67 20 1e 45 |hout Sto|pping .E|
|00003090| 78 61 6d 70 6c 65 3a 20 | 50 61 72 61 6c 6c 65 6c |xample: |Parallel|
|000030a0| 20 52 65 73 69 73 74 61 | 6e 63 65 73 20 20 46 69 | Resista|nces Fi|
|000030b0| 67 75 72 65 20 31 2d 31 | 09 0d 50 61 72 61 6c 6c |gure 1-1|..Parall|
|000030c0| 65 6c 20 72 65 73 69 73 | 74 61 6e 63 65 73 15 55 |el resis|tances.U|
|000030d0| 73 69 6e 67 20 49 45 45 | 45 20 41 72 69 74 68 6d |sing IEE|E Arithm|
|000030e0| 65 74 69 63 1e 45 76 61 | 6c 75 61 74 69 6e 67 20 |etic.Eva|luating |
|000030f0| 43 6f 6e 74 69 6e 75 65 | 64 20 46 72 61 63 74 69 |Continue|d Fracti|
|00003100| 6f 6e 73 40 46 69 67 75 | 72 65 20 31 2d 32 09 47 |ons@Figu|re 1-2.G|
|00003110| 72 61 70 68 20 6f 66 20 | 63 6f 6e 74 69 6e 75 65 |raph of |continue|
|00003120| 64 20 66 72 61 63 74 69 | 6f 6e 20 66 75 6e 63 74 |d fracti|on funct|
|00003130| 69 6f 6e 73 20 63 66 28 | 78 29 20 61 6e 64 20 72 |ions cf(|x) and r|
|00003140| 66 28 78 29 20 43 6f 6d | 70 75 74 69 6e 67 20 74 |f(x) Com|puting t|
|00003150| 68 65 20 41 72 65 61 20 | 6f 66 20 61 20 54 72 69 |he Area |of a Tri|
|00003160| 61 6e 67 6c 65 24 54 61 | 62 6c 65 20 31 2d 32 09 |angle$Ta|ble 1-2.|
|00003170| 41 72 65 61 20 75 73 69 | 6e 67 20 48 65 72 6f 6e |Area usi|ng Heron|
|00003180| d5 73 20 66 6f 72 6d 75 | 6c 61 1f 41 62 6f 75 74 |.s formu|la.About|
|00003190| 20 74 68 65 20 46 50 43 | 45 20 54 65 63 68 6e 69 | the FPC|E Techni|
|000031a0| 63 61 6c 20 52 65 70 6f | 72 74 1c 50 6f 77 65 72 |cal Repo|rt.Power|
|000031b0| 50 43 20 4e 75 6d 65 72 | 69 63 73 20 56 65 72 73 |PC Numer|ics Vers|
|000031c0| 75 73 20 53 41 4e 45 1c | 46 6c 6f 61 74 69 6e 67 |us SANE.|Floating|
|000031d0| 2d 50 6f 69 6e 74 20 44 | 61 74 61 20 46 6f 72 6d |-Point D|ata Form|
|000031e0| 61 74 73 20 21 41 62 6f | 75 74 20 46 6c 6f 61 74 |ats !Abo|ut Float|
|000031f0| 69 6e 67 2d 50 6f 69 6e | 74 20 44 61 74 61 20 46 |ing-Poin|t Data F|
|00003200| 6f 72 6d 61 74 73 1d 46 | 69 67 75 72 65 20 32 2d |ormats.F|igure 2-|
|00003210| 31 09 49 45 45 45 20 73 | 69 6e 67 6c 65 20 66 6f |1.IEEE s|ingle fo|
|00003220| 72 6d 61 74 1d 54 61 62 | 6c 65 20 32 2d 31 09 4e |rmat.Tab|le 2-1.N|
|00003230| 61 6d 65 73 20 6f 66 20 | 64 61 74 61 20 74 79 70 |ames of |data typ|
|00003240| 65 73 23 49 6e 74 65 72 | 70 72 65 74 69 6e 67 20 |es#Inter|preting |
|00003250| 46 6c 6f 61 74 69 6e 67 | 2d 50 6f 69 6e 74 20 56 |Floating|-Point V|
|00003260| 61 6c 75 65 73 20 12 4e | 6f 72 6d 61 6c 69 7a 65 |alues .N|ormalize|
|00003270| 64 20 4e 75 6d 62 65 72 | 73 41 46 69 67 75 72 65 |d Number|sAFigure|
|00003280| 20 32 2d 32 09 4e 6f 72 | 6d 61 6c 69 7a 65 64 20 | 2-2.Nor|malized |
|00003290| 73 69 6e 67 6c 65 2d 70 | 72 65 63 69 73 69 6f 6e |single-p|recision|
|000032a0| 20 6e 75 6d 62 65 72 73 | 20 6f 6e 20 74 68 65 20 | numbers| on the |
|000032b0| 6e 75 6d 62 65 72 20 6c | 69 6e 65 14 44 65 6e 6f |number l|ine.Deno|
|000032c0| 72 6d 61 6c 69 7a 65 64 | 20 4e 75 6d 62 65 72 73 |rmalized| Numbers|
|000032d0| 43 46 69 67 75 72 65 20 | 32 2d 33 09 44 65 6e 6f |CFigure |2-3.Deno|
|000032e0| 72 6d 61 6c 69 7a 65 64 | 20 73 69 6e 67 6c 65 2d |rmalized| single-|
|000032f0| 70 72 65 63 69 73 69 6f | 6e 20 6e 75 6d 62 65 72 |precisio|n number|
|00003300| 73 20 6f 6e 20 74 68 65 | 20 6e 75 6d 62 65 72 20 |s on the| number |
|00003310| 6c 69 6e 65 26 54 61 62 | 6c 65 20 32 2d 32 09 45 |line&Tab|le 2-2.E|
|00003320| 78 61 6d 70 6c 65 20 6f | 66 20 67 72 61 64 75 61 |xample o|f gradua|
|00003330| 6c 20 75 6e 64 65 72 66 | 6c 6f 77 0a 49 6e 66 69 |l underf|low.Infi|
|00003340| 6e 69 74 69 65 73 35 46 | 69 67 75 72 65 20 32 2d |nities5F|igure 2-|
|00003350| 34 09 49 6e 66 69 6e 69 | 74 69 65 73 20 72 65 70 |4.Infini|ties rep|
|00003360| 72 65 73 65 6e 74 65 64 | 20 69 6e 20 73 69 6e 67 |resented| in sing|
|00003370| 6c 65 20 70 72 65 63 69 | 73 69 6f 6e 04 4e 61 4e |le preci|sion.NaN|
|00003380| 73 13 54 61 62 6c 65 20 | 32 2d 33 09 4e 61 4e 20 |s.Table |2-3.NaN |
|00003390| 63 6f 64 65 73 30 46 69 | 67 75 72 65 20 32 2d 35 |codes0Fi|gure 2-5|
|000033a0| 09 0d 4e 61 4e 73 20 72 | 65 70 72 65 73 65 6e 74 |..NaNs r|epresent|
|000033b0| 65 64 20 69 6e 20 73 69 | 6e 67 6c 65 20 70 72 65 |ed in si|ngle pre|
|000033c0| 63 69 73 69 6f 6e 05 5a | 65 72 6f 73 31 46 69 67 |cision.Z|eros1Fig|
|000033d0| 75 72 65 20 32 2d 36 09 | 0d 5a 65 72 6f 73 20 72 |ure 2-6.|.Zeros r|
|000033e0| 65 70 72 65 73 65 6e 74 | 65 64 20 69 6e 20 73 69 |epresent|ed in si|
|000033f0| 6e 67 6c 65 20 70 72 65 | 63 69 73 69 6f 6e 08 46 |ngle pre|cision.F|
|00003400| 6f 72 6d 61 74 73 20 29 | 54 61 62 6c 65 20 32 2d |ormats )|Table 2-|
|00003410| 34 09 53 79 6d 62 6f 6c | 73 20 75 73 65 64 20 69 |4.Symbol|s used i|
|00003420| 6e 20 66 6f 72 6d 61 74 | 20 64 69 61 67 72 61 6d |n format| diagram|
|00003430| 73 0d 53 69 6e 67 6c 65 | 20 46 6f 72 6d 61 74 19 |s.Single| Format.|
|00003440| 46 69 67 75 72 65 20 32 | 2d 37 09 0d 53 69 6e 67 |Figure 2|-7..Sing|
|00003450| 6c 65 20 66 6f 72 6d 61 | 74 33 54 61 62 6c 65 20 |le forma|t3Table |
|00003460| 32 2d 35 09 56 61 6c 75 | 65 73 20 6f 66 20 73 69 |2-5.Valu|es of si|
|00003470| 6e 67 6c 65 2d 66 6f 72 | 6d 61 74 20 6e 75 6d 62 |ngle-for|mat numb|
|00003480| 65 72 73 20 28 33 32 20 | 62 69 74 73 29 47 46 69 |ers (32 |bits)GFi|
|00003490| 67 75 72 65 20 32 2d 38 | 09 53 69 6e 67 6c 65 2d |gure 2-8|.Single-|
|000034a0| 66 6f 72 6d 61 74 20 66 | 6c 6f 61 74 69 6e 67 2d |format f|loating-|
|000034b0| 70 6f 69 6e 74 20 6e 75 | 6d 62 65 72 73 20 6f 6e |point nu|mbers on|
|000034c0| 20 74 68 65 20 72 65 61 | 6c 20 6e 75 6d 62 65 72 | the rea|l number|
|000034d0| 20 6c 69 6e 65 0e 0d 44 | 6f 75 62 6c 65 20 46 6f | line..D|ouble Fo|
|000034e0| 72 6d 61 74 18 46 69 67 | 75 72 65 20 32 2d 39 09 |rmat.Fig|ure 2-9.|
|000034f0| 44 6f 75 62 6c 65 20 66 | 6f 72 6d 61 74 33 54 61 |Double f|ormat3Ta|
|00003500| 62 6c 65 20 32 2d 36 09 | 56 61 6c 75 65 73 20 6f |ble 2-6.|Values o|
|00003510| 66 20 64 6f 75 62 6c 65 | 2d 66 6f 72 6d 61 74 20 |f double|-format |
|00003520| 6e 75 6d 62 65 72 73 20 | 28 36 34 20 62 69 74 73 |numbers |(64 bits|
|00003530| 29 48 46 69 67 75 72 65 | 20 32 2d 31 30 09 0d 44 |)HFigure| 2-10..D|
|00003540| 6f 75 62 6c 65 2d 66 6f | 72 6d 61 74 20 66 6c 6f |ouble-fo|rmat flo|
|00003550| 61 74 69 6e 67 2d 70 6f | 69 6e 74 20 76 61 6c 75 |ating-po|int valu|
|00003560| 65 73 20 6f 6e 20 74 68 | 65 20 72 65 61 6c 20 6e |es on th|e real n|
|00003570| 75 6d 62 65 72 20 6c 69 | 6e 65 14 44 6f 75 62 6c |umber li|ne.Doubl|
|00003580| 65 2d 44 6f 75 62 6c 65 | 20 46 6f 72 6d 61 74 20 |e-Double| Format |
|00003590| 46 69 67 75 72 65 20 32 | 2d 31 31 09 44 6f 75 62 |Figure 2|-11.Doub|
|000035a0| 6c 65 2d 64 6f 75 62 6c | 65 20 66 6f 72 6d 61 74 |le-doubl|e format|
|000035b0| 2f 46 69 67 75 72 65 20 | 32 2d 31 32 09 44 6f 75 |/Figure |2-12.Dou|
|000035c0| 62 6c 65 2d 64 6f 75 62 | 6c 65 20 66 6f 72 6d 61 |ble-doub|le forma|
|000035d0| 74 20 6e 75 6d 62 65 72 | 20 65 78 61 6d 70 6c 65 |t number| example|
|000035e0| 24 0d 52 61 6e 67 65 20 | 61 6e 64 20 50 72 65 63 |$.Range |and Prec|
|000035f0| 69 73 69 6f 6e 20 6f 66 | 20 44 61 74 61 20 46 6f |ision of| Data Fo|
|00003600| 72 6d 61 74 73 32 54 61 | 62 6c 65 20 32 2d 37 09 |rmats2Ta|ble 2-7.|
|00003610| 53 75 6d 6d 61 72 79 20 | 6f 66 20 50 6f 77 65 72 |Summary |of Power|
|00003620| 50 43 20 4e 75 6d 65 72 | 69 63 73 20 64 61 74 61 |PC Numer|ics data|
|00003630| 20 66 6f 72 6d 61 74 73 | 15 45 78 70 72 65 73 73 | formats|.Express|
|00003640| 69 6f 6e 20 45 76 61 6c | 75 61 74 69 6f 6e 1b 41 |ion Eval|uation.A|
|00003650| 62 6f 75 74 20 45 78 70 | 72 65 73 73 69 6f 6e 20 |bout Exp|ression |
|00003660| 45 76 61 6c 75 61 74 69 | 6f 6e 2a 45 76 61 6c 75 |Evaluati|on*Evalu|
|00003670| 61 74 69 6e 67 20 45 78 | 70 72 65 73 73 69 6f 6e |ating Ex|pression|
|00003680| 73 20 57 69 74 68 6f 75 | 74 20 57 69 64 65 73 74 |s Withou|t Widest|
|00003690| 20 4e 65 65 64 3e 46 69 | 67 75 72 65 20 33 2d 31 | Need>Fi|gure 3-1|
|000036a0| 09 0d 45 76 61 6c 75 61 | 74 69 6e 67 20 63 6f 6d |..Evalua|ting com|
|000036b0| 70 6c 65 78 20 65 78 70 | 72 65 73 73 69 6f 6e 73 |plex exp|ressions|
|000036c0| 20 77 69 74 68 6f 75 74 | 20 77 69 64 65 73 74 20 | without| widest |
|000036d0| 6e 65 65 64 28 45 76 61 | 6c 75 61 74 69 6e 67 20 |need(Eva|luating |
|000036e0| 45 78 70 72 65 73 73 69 | 6f 6e 73 20 57 69 74 68 |Expressi|ons With|
|000036f0| 20 57 69 64 65 73 74 20 | 4e 65 65 64 20 3b 46 69 | Widest |Need ;Fi|
|00003700| 67 75 72 65 20 33 2d 32 | 09 0d 45 76 61 6c 75 61 |gure 3-2|..Evalua|
|00003710| 74 69 6e 67 20 63 6f 6d | 70 6c 65 78 20 65 78 70 |ting com|plex exp|
|00003720| 72 65 73 73 69 6f 6e 73 | 20 77 69 74 68 20 77 69 |ressions| with wi|
|00003730| 64 65 73 74 20 6e 65 65 | 64 2d 0d 43 6f 6d 70 61 |dest nee|d-.Compa|
|00003740| 72 69 73 6f 6e 73 20 6f | 66 20 45 78 70 72 65 73 |risons o|f Expres|
|00003750| 73 69 6f 6e 20 45 76 61 | 6c 75 61 74 69 6f 6e 20 |sion Eva|luation |
|00003760| 4d 65 74 68 6f 64 73 39 | 46 69 67 75 72 65 20 33 |Methods9|Figure 3|
|00003770| 2d 33 09 0d 45 76 61 6c | 75 61 74 69 6e 67 20 61 |-3..Eval|uating a|
|00003780| 6e 20 65 78 70 72 65 73 | 73 69 6f 6e 20 77 69 74 |n expres|sion wit|
|00003790| 68 20 61 20 66 75 6e 63 | 74 69 6f 6e 20 63 61 6c |h a func|tion cal|
|000037a0| 6c 3e 46 69 67 75 72 65 | 20 33 2d 34 09 45 76 61 |l>Figure| 3-4.Eva|
|000037b0| 6c 75 61 74 69 6e 67 20 | 61 6e 20 65 78 70 72 65 |luating |an expre|
|000037c0| 73 73 69 6f 6e 20 77 69 | 74 68 20 61 72 69 74 68 |ssion wi|th arith|
|000037d0| 6d 65 74 69 63 20 6f 70 | 65 72 61 74 69 6f 6e 73 |metic op|erations|
|000037e0| 16 45 6e 76 69 72 6f 6e | 6d 65 6e 74 61 6c 20 43 |.Environ|mental C|
|000037f0| 6f 6e 74 72 6f 6c 73 18 | 52 6f 75 6e 64 69 6e 67 |ontrols.|Rounding|
|00003800| 20 44 69 72 65 63 74 69 | 6f 6e 20 4d 6f 64 65 73 | Directi|on Modes|
|00003810| 41 54 61 62 6c 65 20 34 | 2d 31 09 45 78 61 6d 70 |ATable 4|-1.Examp|
|00003820| 6c 65 73 20 6f 66 20 72 | 6f 75 6e 64 69 6e 67 20 |les of r|ounding |
|00003830| 74 6f 20 69 6e 74 65 67 | 65 72 20 69 6e 20 64 69 |to integ|er in di|
|00003840| 66 66 65 72 65 6e 74 20 | 64 69 72 65 63 74 69 6f |fferent |directio|
|00003850| 6e 73 13 0d 52 6f 75 6e | 64 69 6e 67 20 50 72 65 |ns..Roun|ding Pre|
|00003860| 63 69 73 69 6f 6e 0f 45 | 78 63 65 70 74 69 6f 6e |cision.E|xception|
|00003870| 20 46 6c 61 67 73 11 49 | 6e 76 61 6c 69 64 20 4f | Flags.I|nvalid O|
|00003880| 70 65 72 61 74 69 6f 6e | 09 55 6e 64 65 72 66 6c |peration|.Underfl|
|00003890| 6f 77 08 4f 76 65 72 66 | 6c 6f 77 0f 0d 44 69 76 |ow.Overf|low..Div|
|000038a0| 69 64 65 2d 62 79 2d 5a | 65 72 6f 07 49 6e 65 78 |ide-by-Z|ero.Inex|
|000038b0| 61 63 74 0b 43 6f 6e 76 | 65 72 73 69 6f 6e 73 11 |act.Conv|ersions.|
|000038c0| 41 62 6f 75 74 20 43 6f | 6e 76 65 72 73 69 6f 6e |About Co|nversion|
|000038d0| 73 2c 43 6f 6e 76 65 72 | 74 69 6e 67 20 46 6c 6f |s,Conver|ting Flo|
|000038e0| 61 74 69 6e 67 2d 50 6f | 69 6e 74 20 74 6f 20 49 |ating-Po|int to I|
|000038f0| 6e 74 65 67 65 72 20 46 | 6f 72 6d 61 74 73 3a 54 |nteger F|ormats:T|
|00003900| 61 62 6c 65 20 35 2d 31 | 09 45 78 61 6d 70 6c 65 |able 5-1|.Example|
|00003910| 73 20 6f 66 20 66 6c 6f | 61 74 69 6e 67 2d 70 6f |s of flo|ating-po|
|00003920| 69 6e 74 20 74 6f 20 69 | 6e 74 65 67 65 72 20 63 |int to i|nteger c|
|00003930| 6f 6e 76 65 72 73 69 6f | 6e 2b 52 6f 75 6e 64 69 |onversio|n+Roundi|
|00003940| 6e 67 20 46 6c 6f 61 74 | 69 6e 67 2d 50 6f 69 6e |ng Float|ing-Poin|
|00003950| 74 20 4e 75 6d 62 65 72 | 73 20 74 6f 20 49 6e 74 |t Number|s to Int|
|00003960| 65 67 65 72 73 2e 0d 43 | 6f 6e 76 65 72 74 69 6e |egers..C|onvertin|
|00003970| 67 20 49 6e 74 65 67 65 | 72 73 20 74 6f 20 46 6c |g Intege|rs to Fl|
|00003980| 6f 61 74 69 6e 67 2d 50 | 6f 69 6e 74 20 46 6f 72 |oating-P|oint For|
|00003990| 6d 61 74 73 29 43 6f 6e | 76 65 72 74 69 6e 67 20 |mats)Con|verting |
|000039a0| 42 65 74 77 65 65 6e 20 | 46 6c 6f 61 74 69 6e 67 |Between |Floating|
|000039b0| 2d 50 6f 69 6e 74 20 46 | 6f 72 6d 61 74 73 2c 43 |-Point F|ormats,C|
|000039c0| 6f 6e 76 65 72 74 69 6e | 67 20 42 65 74 77 65 65 |onvertin|g Betwee|
|000039d0| 6e 20 53 69 6e 67 6c 65 | 20 61 6e 64 20 44 6f 75 |n Single| and Dou|
|000039e0| 62 6c 65 20 46 6f 72 6d | 61 74 73 3a 54 61 62 6c |ble Form|ats:Tabl|
|000039f0| 65 20 35 2d 32 09 44 6f | 75 62 6c 65 20 74 6f 20 |e 5-2.Do|uble to |
|00003a00| 73 69 6e 67 6c 65 20 63 | 6f 6e 76 65 72 73 69 6f |single c|onversio|
|00003a10| 6e 3a 20 50 6f 73 73 69 | 62 6c 65 20 65 78 63 65 |n: Possi|ble exce|
|00003a20| 70 74 69 6f 6e 73 33 43 | 6f 6e 76 65 72 74 69 6e |ptions3C|onvertin|
|00003a30| 67 20 42 65 74 77 65 65 | 6e 20 53 69 6e 67 6c 65 |g Betwee|n Single|
|00003a40| 20 61 6e 64 20 44 6f 75 | 62 6c 65 2d 44 6f 75 62 | and Dou|ble-Doub|
|00003a50| 6c 65 20 46 6f 72 6d 61 | 74 73 2e 46 69 67 75 72 |le Forma|ts.Figur|
|00003a60| 65 20 35 2d 31 09 0d 53 | 69 6e 67 6c 65 20 74 6f |e 5-1..S|ingle to|
|00003a70| 20 64 6f 75 62 6c 65 2d | 64 6f 75 62 6c 65 20 63 | double-|double c|
|00003a80| 6f 6e 76 65 72 73 69 6f | 6e 2d 46 69 67 75 72 65 |onversio|n-Figure|
|00003a90| 20 35 2d 32 09 44 6f 75 | 62 6c 65 2d 64 6f 75 62 | 5-2.Dou|ble-doub|
|00003aa0| 6c 65 20 74 6f 20 73 69 | 6e 67 6c 65 20 63 6f 6e |le to si|ngle con|
|00003ab0| 76 65 72 73 69 6f 6e 41 | 54 61 62 6c 65 20 35 2d |versionA|Table 5-|
|00003ac0| 33 09 44 6f 75 62 6c 65 | 2d 64 6f 75 62 6c 65 20 |3.Double|-double |
|00003ad0| 74 6f 20 73 69 6e 67 6c | 65 20 63 6f 6e 76 65 72 |to singl|e conver|
|00003ae0| 73 69 6f 6e 3a 20 50 6f | 73 73 69 62 6c 65 20 65 |sion: Po|ssible e|
|00003af0| 78 63 65 70 74 69 6f 6e | 73 33 43 6f 6e 76 65 72 |xception|s3Conver|
|00003b00| 74 69 6e 67 20 42 65 74 | 77 65 65 6e 20 44 6f 75 |ting Bet|ween Dou|
|00003b10| 62 6c 65 20 61 6e 64 20 | 44 6f 75 62 6c 65 2d 44 |ble and |Double-D|
|00003b20| 6f 75 62 6c 65 20 46 6f | 72 6d 61 74 73 2d 43 6f |ouble Fo|rmats-Co|
|00003b30| 6e 76 65 72 74 69 6e 67 | 20 42 65 74 77 65 65 6e |nverting| Between|
|00003b40| 20 42 69 6e 61 72 79 20 | 61 6e 64 20 44 65 63 69 | Binary |and Deci|
|00003b50| 6d 61 6c 20 4e 75 6d 62 | 65 72 73 29 41 63 63 75 |mal Numb|ers)Accu|
|00003b60| 72 61 63 79 20 6f 66 20 | 44 65 63 69 6d 61 6c 2d |racy of |Decimal-|
|00003b70| 74 6f 2d 42 69 6e 61 72 | 79 20 43 6f 6e 76 65 72 |to-Binar|y Conver|
|00003b80| 73 69 6f 6e 73 15 41 75 | 74 6f 6d 61 74 69 63 20 |sions.Au|tomatic |
|00003b90| 43 6f 6e 76 65 72 73 69 | 6f 6e 73 31 46 69 67 75 |Conversi|ons1Figu|
|00003ba0| 72 65 20 35 2d 33 09 43 | 6f 6e 76 65 72 73 69 6f |re 5-3.C|onversio|
|00003bb0| 6e 20 63 79 63 6c 65 20 | 77 69 74 68 20 66 69 72 |n cycle |with fir|
|00003bc0| 73 74 2d 74 69 6d 65 20 | 65 72 72 6f 72 2f 46 69 |st-time |error/Fi|
|00003bd0| 67 75 72 65 20 35 2d 34 | 09 43 6f 6e 76 65 72 73 |gure 5-4|.Convers|
|00003be0| 69 6f 6e 20 63 79 63 6c | 65 20 77 69 74 68 20 63 |ion cycl|e with c|
|00003bf0| 6f 72 72 65 63 74 20 72 | 65 73 75 6c 74 12 4d 61 |orrect r|esult.Ma|
|00003c00| 6e 75 61 6c 20 43 6f 6e | 76 65 72 73 69 6f 6e 73 |nual Con|versions|
|00003c10| 38 43 6f 6e 76 65 72 74 | 69 6e 67 20 42 65 74 77 |8Convert|ing Betw|
|00003c20| 65 65 6e 20 46 6c 6f 61 | 74 69 6e 67 2d 50 6f 69 |een Floa|ting-Poi|
|00003c30| 6e 74 20 61 6e 64 20 44 | 65 63 69 6d 61 6c 20 53 |nt and D|ecimal S|
|00003c40| 74 72 75 63 74 75 72 65 | 73 36 0d 43 6f 6e 76 65 |tructure|s6.Conve|
|00003c50| 72 74 69 6e 67 20 42 65 | 74 77 65 65 6e 20 46 6c |rting Be|tween Fl|
|00003c60| 6f 61 74 69 6e 67 2d 50 | 6f 69 6e 74 20 61 6e 64 |oating-P|oint and|
|00003c70| 20 44 65 63 69 6d 61 6c | 20 53 74 72 69 6e 67 73 | Decimal| Strings|
|00003c80| 20 4e 75 6d 65 72 69 63 | 20 4f 70 65 72 61 74 69 | Numeric| Operati|
|00003c90| 6f 6e 73 20 61 6e 64 20 | 46 75 6e 63 74 69 6f 6e |ons and |Function|
|00003ca0| 73 0c 43 6f 6d 70 61 72 | 69 73 6f 6e 73 20 24 43 |s.Compar|isons $C|
|00003cb0| 6f 6d 70 61 72 69 73 6f | 6e 73 20 57 69 74 68 20 |ompariso|ns With |
|00003cc0| 4e 61 4e 73 20 61 6e 64 | 20 49 6e 66 69 6e 69 74 |NaNs and| Infinit|
|00003cd0| 69 65 73 14 43 6f 6d 70 | 61 72 69 73 6f 6e 20 4f |ies.Comp|arison O|
|00003ce0| 70 65 72 61 74 6f 72 73 | 1c 54 61 62 6c 65 20 36 |perators|.Table 6|
|00003cf0| 2d 31 09 43 6f 6d 70 61 | 72 69 73 6f 6e 20 73 79 |-1.Compa|rison sy|
|00003d00| 6d 62 6f 6c 73 16 41 72 | 69 74 68 6d 65 74 69 63 |mbols.Ar|ithmetic|
|00003d10| 20 4f 70 65 72 61 74 69 | 6f 6e 73 20 24 54 61 62 | Operati|ons $Tab|
|00003d20| 6c 65 20 36 2d 32 09 41 | 72 69 74 68 6d 65 74 69 |le 6-2.A|rithmeti|
|00003d30| 63 20 6f 70 65 72 61 74 | 69 6f 6e 73 20 69 6e 20 |c operat|ions in |
|00003d40| 43 01 2b 33 54 61 62 6c | 65 20 36 2d 33 09 53 70 |C.+3Tabl|e 6-3.Sp|
|00003d50| 65 63 69 61 6c 20 63 61 | 73 65 73 20 66 6f 72 20 |ecial ca|ses for |
|00003d60| 66 6c 6f 61 74 69 6e 67 | 2d 70 6f 69 6e 74 20 61 |floating|-point a|
|00003d70| 64 64 69 74 69 6f 6e 01 | d0 36 54 61 62 6c 65 20 |ddition.|.6Table |
|00003d80| 36 2d 34 09 53 70 65 63 | 69 61 6c 20 63 61 73 65 |6-4.Spec|ial case|
|00003d90| 73 20 66 6f 72 20 66 6c | 6f 61 74 69 6e 67 2d 70 |s for fl|oating-p|
|00003da0| 6f 69 6e 74 20 73 75 62 | 74 72 61 63 74 69 6f 6e |oint sub|traction|
|00003db0| 02 0d 2a 39 54 61 62 6c | 65 20 36 2d 35 09 53 70 |..*9Tabl|e 6-5.Sp|
|00003dc0| 65 63 69 61 6c 20 63 61 | 73 65 73 20 66 6f 72 20 |ecial ca|ses for |
|00003dd0| 66 6c 6f 61 74 69 6e 67 | 2d 70 6f 69 6e 74 20 6d |floating|-point m|
|00003de0| 75 6c 74 69 70 6c 69 63 | 61 74 69 6f 6e 02 0d 2f |ultiplic|ation../|
|00003df0| 33 54 61 62 6c 65 20 36 | 2d 36 09 53 70 65 63 69 |3Table 6|-6.Speci|
|00003e00| 61 6c 20 63 61 73 65 73 | 20 66 6f 72 20 66 6c 6f |al cases| for flo|
|00003e10| 61 74 69 6e 67 2d 70 6f | 69 6e 74 20 64 69 76 69 |ating-po|int divi|
|00003e20| 73 69 6f 6e 05 0d 73 71 | 72 74 36 54 61 62 6c 65 |sion..sq|rt6Table|
|00003e30| 20 36 2d 37 09 53 70 65 | 63 69 61 6c 20 63 61 73 | 6-7.Spe|cial cas|
|00003e40| 65 73 20 66 6f 72 20 66 | 6c 6f 61 74 69 6e 67 2d |es for f|loating-|
|00003e50| 70 6f 69 6e 74 20 73 71 | 75 61 72 65 20 72 6f 6f |point sq|uare roo|
|00003e60| 74 1c 0d 72 65 6d 61 69 | 6e 64 65 72 2c 20 72 65 |t..remai|nder, re|
|00003e70| 6d 71 75 6f 2c 20 61 6e | 64 20 66 6d 6f 64 26 46 |mquo, an|d fmod&F|
|00003e80| 69 67 75 72 65 20 36 2d | 31 09 0d 49 6e 74 65 67 |igure 6-|1..Integ|
|00003e90| 65 72 2d 64 69 76 69 73 | 69 6f 6e 20 61 6c 67 6f |er-divis|ion algo|
|00003ea0| 72 69 74 68 6d 34 54 61 | 62 6c 65 20 36 2d 38 09 |rithm4Ta|ble 6-8.|
|00003eb0| 53 70 65 63 69 61 6c 20 | 63 61 73 65 73 20 66 6f |Special |cases fo|
|00003ec0| 72 20 66 6c 6f 61 74 69 | 6e 67 2d 70 6f 69 6e 74 |r floati|ng-point|
|00003ed0| 20 72 65 6d 61 69 6e 64 | 65 72 04 72 69 6e 74 3b | remaind|er.rint;|
|00003ee0| 54 61 62 6c 65 20 36 2d | 39 09 53 70 65 63 69 61 |Table 6-|9.Specia|
|00003ef0| 6c 20 63 61 73 65 73 20 | 66 6f 72 20 66 6c 6f 61 |l cases |for floa|
|00003f00| 74 69 6e 67 2d 70 6f 69 | 6e 74 20 72 6f 75 6e 64 |ting-poi|nt round|
|00003f10| 2d 74 6f 2d 69 6e 74 65 | 67 65 72 1c 54 61 62 6c |-to-inte|ger.Tabl|
|00003f20| 65 20 36 2d 31 30 09 45 | 78 61 6d 70 6c 65 73 20 |e 6-10.E|xamples |
|00003f30| 6f 66 20 72 69 6e 74 20 | 14 41 75 78 69 6c 69 61 |of rint |.Auxilia|
|00003f40| 72 79 20 46 75 6e 63 74 | 69 6f 6e 73 20 18 54 72 |ry Funct|ions .Tr|
|00003f50| 61 6e 73 63 65 6e 64 65 | 6e 74 61 6c 20 46 75 6e |anscende|ntal Fun|
|00003f60| 63 74 69 6f 6e 73 26 0d | 54 68 65 20 50 6f 77 65 |ctions&.|The Powe|
|00003f70| 72 50 43 20 4e 75 6d 65 | 72 69 63 73 20 43 20 49 |rPC Nume|rics C I|
|00003f80| 6d 70 6c 65 6d 65 6e 74 | 61 74 69 6f 6e 17 4e 75 |mplement|ation.Nu|
|00003f90| 6d 65 72 69 63 20 44 61 | 74 61 20 54 79 70 65 73 |meric Da|ta Types|
|00003fa0| 20 69 6e 20 43 0d 43 20 | 44 61 74 61 20 54 79 70 | in C.C |Data Typ|
|00003fb0| 65 73 20 1d 54 61 62 6c | 65 20 37 2d 31 09 4e 61 |es .Tabl|e 7-1.Na|
|00003fc0| 6d 65 73 20 6f 66 20 64 | 61 74 61 20 74 79 70 65 |mes of d|ata type|
|00003fd0| 73 1b 45 66 66 69 63 69 | 65 6e 74 20 54 79 70 65 |s.Effici|ent Type|
|00003fe0| 20 44 65 63 6c 61 72 61 | 74 69 6f 6e 73 24 54 61 | Declara|tions$Ta|
|00003ff0| 62 6c 65 20 37 2d 32 09 | 66 6c 6f 61 74 5f 74 20 |ble 7-2.|float_t |
|00004000| 61 6e 64 20 64 6f 75 62 | 6c 65 5f 74 20 74 79 70 |and doub|le_t typ|
|00004010| 65 73 19 49 6e 71 75 69 | 72 69 65 73 3a 20 43 6c |es.Inqui|ries: Cl|
|00004020| 61 73 73 20 61 6e 64 20 | 53 69 67 6e 27 54 61 62 |ass and |Sign'Tab|
|00004030| 6c 65 20 37 2d 33 09 43 | 6c 61 73 73 20 61 6e 64 |le 7-3.C|lass and|
|00004040| 20 73 69 67 6e 20 69 6e | 71 75 69 72 79 20 6d 61 | sign in|quiry ma|
|00004050| 63 72 6f 73 1d 0d 43 72 | 65 61 74 69 6e 67 20 49 |cros..Cr|eating I|
|00004060| 6e 66 69 6e 69 74 69 65 | 73 20 61 6e 64 20 4e 61 |nfinitie|s and Na|
|00004070| 4e 73 1b 0d 4e 75 6d 65 | 72 69 63 20 44 61 74 61 |Ns..Nume|ric Data|
|00004080| 20 54 79 70 65 73 20 53 | 75 6d 6d 61 72 79 1f 45 | Types S|ummary.E|
|00004090| 6e 76 69 72 6f 6e 6d 65 | 6e 74 61 6c 20 43 6f 6e |nvironme|ntal Con|
|000040a0| 74 72 6f 6c 20 46 75 6e | 63 74 69 6f 6e 73 22 43 |trol Fun|ctions"C|
|000040b0| 6f 6e 74 72 6f 6c 6c 69 | 6e 67 20 74 68 65 20 52 |ontrolli|ng the R|
|000040c0| 6f 75 6e 64 69 6e 67 20 | 44 69 72 65 63 74 69 6f |ounding |Directio|
|000040d0| 6e 2d 54 61 62 6c 65 20 | 38 2d 31 09 52 6f 75 6e |n-Table |8-1.Roun|
|000040e0| 64 69 6e 67 20 64 69 72 | 65 63 74 69 6f 6e 20 6d |ding dir|ection m|
|000040f0| 6f 64 65 73 20 69 6e 20 | 4d 61 74 68 4c 69 62 0a |odes in |MathLib.|
|00004100| 66 65 67 65 74 72 6f 75 | 6e 64 0a 66 65 73 65 74 |fegetrou|nd.feset|
|00004110| 72 6f 75 6e 64 1f 43 6f | 6e 74 72 6f 6c 6c 69 6e |round.Co|ntrollin|
|00004120| 67 20 74 68 65 20 45 78 | 63 65 70 74 69 6f 6e 20 |g the Ex|ception |
|00004130| 46 6c 61 67 73 33 54 61 | 62 6c 65 20 38 2d 32 09 |Flags3Ta|ble 8-2.|
|00004140| 46 6c 6f 61 74 69 6e 67 | 2d 70 6f 69 6e 74 20 65 |Floating|-point e|
|00004150| 78 63 65 70 74 69 6f 6e | 20 66 6c 61 67 73 20 69 |xception| flags i|
|00004160| 6e 20 4d 61 74 68 4c 69 | 62 0d 66 65 63 6c 65 61 |n MathLi|b.feclea|
|00004170| 72 65 78 63 65 70 74 0c | 0d 66 65 67 65 74 65 78 |rexcept.|.fegetex|
|00004180| 63 65 70 74 0d 66 65 72 | 61 69 73 65 65 78 63 65 |cept.fer|aiseexce|
|00004190| 70 74 0b 66 65 73 65 74 | 65 78 63 65 70 74 0c 66 |pt.feset|except.f|
|000041a0| 65 74 65 73 74 65 78 63 | 65 70 74 28 41 63 63 65 |etestexc|ept(Acce|
|000041b0| 73 73 69 6e 67 20 74 68 | 65 20 46 6c 6f 61 74 69 |ssing th|e Floati|
|000041c0| 6e 67 2d 50 6f 69 6e 74 | 20 45 6e 76 69 72 6f 6e |ng-Point| Environ|
|000041d0| 6d 65 6e 74 08 66 65 67 | 65 74 65 6e 76 0c 66 65 |ment.feg|etenv.fe|
|000041e0| 68 6f 6c 64 65 78 63 65 | 70 74 08 66 65 73 65 74 |holdexce|pt.feset|
|000041f0| 65 6e 76 0b 66 65 75 70 | 64 61 74 65 65 6e 76 1f |env.feup|dateenv.|
|00004200| 0d 45 6e 76 69 72 6f 6e | 6d 65 6e 74 61 6c 20 43 |.Environ|mental C|
|00004210| 6f 6e 74 72 6f 6c 73 20 | 53 75 6d 6d 61 72 79 14 |ontrols |Summary.|
|00004220| 43 6f 6e 76 65 72 73 69 | 6f 6e 20 46 75 6e 63 74 |Conversi|on Funct|
|00004230| 69 6f 6e 73 2c 43 6f 6e | 76 65 72 74 69 6e 67 20 |ions,Con|verting |
|00004240| 46 6c 6f 61 74 69 6e 67 | 2d 50 6f 69 6e 74 20 74 |Floating|-Point t|
|00004250| 6f 20 49 6e 74 65 67 65 | 72 20 46 6f 72 6d 61 74 |o Intege|r Format|
|00004260| 73 07 72 69 6e 74 74 6f | 6c 30 54 61 62 6c 65 20 |s.rintto|l0Table |
|00004270| 39 2d 31 09 53 70 65 63 | 69 61 6c 20 63 61 73 65 |9-1.Spec|ial case|
|00004280| 73 20 66 6f 72 20 74 68 | 65 20 72 69 6e 74 74 6f |s for th|e rintto|
|00004290| 6c 20 66 75 6e 63 74 69 | 6f 6e 09 0d 72 6f 75 6e |l functi|on..roun|
|000042a0| 64 74 6f 6c 31 54 61 62 | 6c 65 20 39 2d 32 09 53 |dtol1Tab|le 9-2.S|
|000042b0| 70 65 63 69 61 6c 20 63 | 61 73 65 73 20 66 6f 72 |pecial c|ases for|
|000042c0| 20 74 68 65 20 72 6f 75 | 6e 64 74 6f 6c 20 66 75 | the rou|ndtol fu|
|000042d0| 6e 63 74 69 6f 6e 2b 52 | 6f 75 6e 64 69 6e 67 20 |nction+R|ounding |
|000042e0| 46 6c 6f 61 74 69 6e 67 | 2d 50 6f 69 6e 74 20 4e |Floating|-Point N|
|000042f0| 75 6d 62 65 72 73 20 74 | 6f 20 49 6e 74 65 67 65 |umbers t|o Intege|
|00004300| 72 73 04 63 65 69 6c 2d | 54 61 62 6c 65 20 39 2d |rs.ceil-|Table 9-|
|00004310| 33 09 53 70 65 63 69 61 | 6c 20 63 61 73 65 73 20 |3.Specia|l cases |
|00004320| 66 6f 72 20 74 68 65 20 | 63 65 69 6c 20 66 75 6e |for the |ceil fun|
|00004330| 63 74 69 6f 6e 05 66 6c | 6f 6f 72 2e 54 61 62 6c |ction.fl|oor.Tabl|
|00004340| 65 20 39 2d 34 09 53 70 | 65 63 69 61 6c 20 63 61 |e 9-4.Sp|ecial ca|
|00004350| 73 65 73 20 66 6f 72 20 | 74 68 65 20 66 6c 6f 6f |ses for |the floo|
|00004360| 72 20 66 75 6e 63 74 69 | 6f 6e 0a 0d 6e 65 61 72 |r functi|on..near|
|00004370| 62 79 69 6e 74 32 54 61 | 62 6c 65 20 39 2d 35 09 |byint2Ta|ble 9-5.|
|00004380| 53 70 65 63 69 61 6c 20 | 63 61 73 65 73 20 66 6f |Special |cases fo|
|00004390| 72 20 74 68 65 20 6e 65 | 61 72 62 79 69 6e 74 20 |r the ne|arbyint |
|000043a0| 66 75 6e 63 74 69 6f 6e | 05 72 6f 75 6e 64 2e 54 |function|.round.T|
|000043b0| 61 62 6c 65 20 39 2d 36 | 09 53 70 65 63 69 61 6c |able 9-6|.Special|
|000043c0| 20 63 61 73 65 73 20 66 | 6f 72 20 74 68 65 20 72 | cases f|or the r|
|000043d0| 6f 75 6e 64 20 66 75 6e | 63 74 69 6f 6e 05 74 72 |ound fun|ction.tr|
|000043e0| 75 6e 63 2e 54 61 62 6c | 65 20 39 2d 37 09 53 70 |unc.Tabl|e 9-7.Sp|
|000043f0| 65 63 69 61 6c 20 63 61 | 73 65 73 20 66 6f 72 20 |ecial ca|ses for |
|00004400| 74 68 65 20 74 72 75 6e | 63 20 66 75 6e 63 74 69 |the trun|c functi|
|00004410| 6f 6e 2d 43 6f 6e 76 65 | 72 74 69 6e 67 20 49 6e |on-Conve|rting In|
|00004420| 74 65 67 65 72 73 20 74 | 6f 20 46 6c 6f 61 74 69 |tegers t|o Floati|
|00004430| 6e 67 2d 50 6f 69 6e 74 | 20 46 6f 72 6d 61 74 73 |ng-Point| Formats|
|00004440| 2a 0d 43 6f 6e 76 65 72 | 74 69 6e 67 20 42 65 74 |*.Conver|ting Bet|
|00004450| 77 65 65 6e 20 46 6c 6f | 61 74 69 6e 67 2d 50 6f |ween Flo|ating-Po|
|00004460| 69 6e 74 20 46 6f 72 6d | 61 74 73 2d 43 6f 6e 76 |int Form|ats-Conv|
|00004470| 65 72 74 69 6e 67 20 42 | 65 74 77 65 65 6e 20 42 |erting B|etween B|
|00004480| 69 6e 61 72 79 20 61 6e | 64 20 44 65 63 69 6d 61 |inary an|d Decima|
|00004490| 6c 20 4e 75 6d 62 65 72 | 73 3b 54 61 62 6c 65 20 |l Number|s;Table |
|000044a0| 39 2d 38 09 46 6f 72 6d | 61 74 20 6f 66 20 64 65 |9-8.Form|at of de|
|000044b0| 63 69 6d 61 6c 20 6f 75 | 74 70 75 74 20 73 74 72 |cimal ou|tput str|
|000044c0| 69 6e 67 20 69 6e 20 66 | 6c 6f 61 74 69 6e 67 20 |ing in f|loating |
|000044d0| 73 74 79 6c 65 38 54 61 | 62 6c 65 20 39 2d 39 09 |style8Ta|ble 9-9.|
|000044e0| 46 6f 72 6d 61 74 20 6f | 66 20 64 65 63 69 6d 61 |Format o|f decima|
|000044f0| 6c 20 6f 75 74 70 75 74 | 20 73 74 72 69 6e 67 20 |l output| string |
|00004500| 69 6e 20 66 69 78 65 64 | 20 73 74 79 6c 65 08 0d |in fixed| style..|
|00004510| 64 65 63 32 6e 75 6d 07 | 6e 75 6d 32 64 65 63 22 |dec2num.|num2dec"|
|00004520| 43 6f 6e 76 65 72 74 69 | 6e 67 20 42 65 74 77 65 |Converti|ng Betwe|
|00004530| 65 6e 20 44 65 63 69 6d | 61 6c 20 46 6f 72 6d 61 |en Decim|al Forma|
|00004540| 74 73 07 64 65 63 32 73 | 74 72 1f 4c 69 73 74 69 |ts.dec2s|tr.Listi|
|00004550| 6e 67 20 39 2d 31 09 0d | 41 63 63 6f 75 6e 74 69 |ng 9-1..|Accounti|
|00004560| 6e 67 20 70 72 6f 67 72 | 61 6d 07 73 74 72 32 64 |ng progr|am.str2d|
|00004570| 65 63 1e 4c 69 73 74 69 | 6e 67 20 39 2d 32 09 53 |ec.Listi|ng 9-2.S|
|00004580| 63 61 6e 6e 69 6e 67 20 | 61 6c 67 6f 72 69 74 68 |canning |algorith|
|00004590| 6d 38 54 61 62 6c 65 20 | 39 2d 31 30 09 45 78 61 |m8Table |9-10.Exa|
|000045a0| 6d 70 6c 65 73 20 6f 66 | 20 63 6f 6e 76 65 72 73 |mples of| convers|
|000045b0| 69 6f 6e 73 20 74 6f 20 | 64 65 63 69 6d 61 6c 20 |ions to |decimal |
|000045c0| 73 74 72 75 63 74 75 72 | 65 73 14 0d 43 6f 6e 76 |structur|es..Conv|
|000045d0| 65 72 73 69 6f 6e 73 20 | 53 75 6d 6d 61 72 79 18 |ersions |Summary.|
|000045e0| 54 72 61 6e 73 63 65 6e | 64 65 6e 74 61 6c 20 46 |Transcen|dental F|
|000045f0| 75 6e 63 74 69 6f 6e 73 | 14 43 6f 6d 70 61 72 69 |unctions|.Compari|
|00004600| 73 6f 6e 20 46 75 6e 63 | 74 69 6f 6e 73 05 0d 66 |son Func|tions..f|
|00004610| 64 69 6d 2e 54 61 62 6c | 65 20 31 30 2d 31 09 53 |dim.Tabl|e 10-1.S|
|00004620| 70 65 63 69 61 6c 20 63 | 61 73 65 73 20 66 6f 72 |pecial c|ases for|
|00004630| 20 74 68 65 20 66 64 69 | 6d 20 66 75 6e 63 74 69 | the fdi|m functi|
|00004640| 6f 6e 04 66 6d 61 78 2e | 54 61 62 6c 65 20 31 30 |on.fmax.|Table 10|
|00004650| 2d 32 09 53 70 65 63 69 | 61 6c 20 63 61 73 65 73 |-2.Speci|al cases|
|00004660| 20 66 6f 72 20 74 68 65 | 20 66 6d 61 78 20 66 75 | for the| fmax fu|
|00004670| 6e 63 74 69 6f 6e 04 66 | 6d 69 6e 2e 54 61 62 6c |nction.f|min.Tabl|
|00004680| 65 20 31 30 2d 33 09 53 | 70 65 63 69 61 6c 20 63 |e 10-3.S|pecial c|
|00004690| 61 73 65 73 20 66 6f 72 | 20 74 68 65 20 66 6d 69 |ases for| the fmi|
|000046a0| 6e 20 66 75 6e 63 74 69 | 6f 6e 09 0d 72 65 6c 61 |n functi|on..rela|
|000046b0| 74 69 6f 6e 32 54 61 62 | 6c 65 20 31 30 2d 34 09 |tion2Tab|le 10-4.|
|000046c0| 53 70 65 63 69 61 6c 20 | 63 61 73 65 73 20 66 6f |Special |cases fo|
|000046d0| 72 20 74 68 65 20 72 65 | 6c 61 74 69 6f 6e 20 66 |r the re|lation f|
|000046e0| 75 6e 63 74 69 6f 6e 1b | 53 69 67 6e 20 4d 61 6e |unction.|Sign Man|
|000046f0| 69 70 75 6c 61 74 69 6f | 6e 20 46 75 6e 63 74 69 |ipulatio|n Functi|
|00004700| 6f 6e 73 09 0d 63 6f 70 | 79 73 69 67 6e 32 54 61 |ons..cop|ysign2Ta|
|00004710| 62 6c 65 20 31 30 2d 35 | 09 53 70 65 63 69 61 6c |ble 10-5|.Special|
|00004720| 20 63 61 73 65 73 20 66 | 6f 72 20 74 68 65 20 63 | cases f|or the c|
|00004730| 6f 70 79 73 69 67 6e 20 | 66 75 6e 63 74 69 6f 6e |opysign |function|
|00004740| 04 66 61 62 73 2e 54 61 | 62 6c 65 20 31 30 2d 36 |.fabs.Ta|ble 10-6|
|00004750| 09 53 70 65 63 69 61 6c | 20 63 61 73 65 73 20 66 |.Special| cases f|
|00004760| 6f 72 20 74 68 65 20 66 | 61 62 73 20 66 75 6e 63 |or the f|abs func|
|00004770| 74 69 6f 6e 15 45 78 70 | 6f 6e 65 6e 74 69 61 6c |tion.Exp|onential|
|00004780| 20 46 75 6e 63 74 69 6f | 6e 73 03 65 78 70 2d 54 | Functio|ns.exp-T|
|00004790| 61 62 6c 65 20 31 30 2d | 37 09 53 70 65 63 69 61 |able 10-|7.Specia|
|000047a0| 6c 20 63 61 73 65 73 20 | 66 6f 72 20 74 68 65 20 |l cases |for the |
|000047b0| 65 78 70 20 66 75 6e 63 | 74 69 6f 6e 04 65 78 70 |exp func|tion.exp|
|000047c0| 32 2e 54 61 62 6c 65 20 | 31 30 2d 38 09 53 70 65 |2.Table |10-8.Spe|
|000047d0| 63 69 61 6c 20 63 61 73 | 65 73 20 66 6f 72 20 74 |cial cas|es for t|
|000047e0| 68 65 20 65 78 70 32 20 | 66 75 6e 63 74 69 6f 6e |he exp2 |function|
|000047f0| 05 65 78 70 6d 31 2f 54 | 61 62 6c 65 20 31 30 2d |.expm1/T|able 10-|
|00004800| 39 09 53 70 65 63 69 61 | 6c 20 63 61 73 65 73 20 |9.Specia|l cases |
|00004810| 66 6f 72 20 74 68 65 20 | 65 78 70 6d 31 20 66 75 |for the |expm1 fu|
|00004820| 6e 63 74 69 6f 6e 06 0d | 6c 64 65 78 70 31 54 61 |nction..|ldexp1Ta|
|00004830| 62 6c 65 20 31 30 2d 31 | 30 09 53 70 65 63 69 61 |ble 10-1|0.Specia|
|00004840| 6c 20 63 61 73 65 73 20 | 66 6f 72 20 74 68 65 20 |l cases |for the |
|00004850| 6c 64 65 78 70 20 66 75 | 6e 63 74 69 6f 6e 20 03 |ldexp fu|nction .|
|00004860| 70 6f 77 2e 54 61 62 6c | 65 20 31 30 2d 31 31 09 |pow.Tabl|e 10-11.|
|00004870| 53 70 65 63 69 61 6c 20 | 63 61 73 65 73 20 66 6f |Special |cases fo|
|00004880| 72 20 74 68 65 20 70 6f | 77 20 66 75 6e 63 74 69 |r the po|w functi|
|00004890| 6f 6e 05 73 63 61 6c 62 | 30 54 61 62 6c 65 20 31 |on.scalb|0Table 1|
|000048a0| 30 2d 31 32 09 53 70 65 | 63 69 61 6c 20 63 61 73 |0-12.Spe|cial cas|
|000048b0| 65 73 20 66 6f 72 20 74 | 68 65 20 73 63 61 6c 62 |es for t|he scalb|
|000048c0| 20 66 75 6e 63 74 69 6f | 6e 16 4c 6f 67 61 72 69 | functio|n.Logari|
|000048d0| 74 68 6d 69 63 20 46 75 | 6e 63 74 69 6f 6e 73 20 |thmic Fu|nctions |
|000048e0| 05 66 72 65 78 70 30 54 | 61 62 6c 65 20 31 30 2d |.frexp0T|able 10-|
|000048f0| 31 33 09 53 70 65 63 69 | 61 6c 20 63 61 73 65 73 |13.Speci|al cases|
|00004900| 20 66 6f 72 20 74 68 65 | 20 66 72 65 78 70 20 66 | for the| frexp f|
|00004910| 75 6e 63 74 69 6f 6e 04 | 0d 6c 6f 67 2e 54 61 62 |unction.|.log.Tab|
|00004920| 6c 65 20 31 30 2d 31 34 | 09 53 70 65 63 69 61 6c |le 10-14|.Special|
|00004930| 20 63 61 73 65 73 20 66 | 6f 72 20 74 68 65 20 6c | cases f|or the l|
|00004940| 6f 67 20 66 75 6e 63 74 | 69 6f 6e 05 6c 6f 67 31 |og funct|ion.log1|
|00004950| 30 30 54 61 62 6c 65 20 | 31 30 2d 31 35 09 53 70 |00Table |10-15.Sp|
|00004960| 65 63 69 61 6c 20 63 61 | 73 65 73 20 66 6f 72 20 |ecial ca|ses for |
|00004970| 74 68 65 20 6c 6f 67 31 | 30 20 66 75 6e 63 74 69 |the log1|0 functi|
|00004980| 6f 6e 05 6c 6f 67 31 70 | 30 54 61 62 6c 65 20 31 |on.log1p|0Table 1|
|00004990| 30 2d 31 36 09 53 70 65 | 63 69 61 6c 20 63 61 73 |0-16.Spe|cial cas|
|000049a0| 65 73 20 66 6f 72 20 74 | 68 65 20 6c 6f 67 31 70 |es for t|he log1p|
|000049b0| 20 66 75 6e 63 74 69 6f | 6e 05 0d 6c 6f 67 32 2f | functio|n..log2/|
|000049c0| 54 61 62 6c 65 20 31 30 | 2d 31 37 09 53 70 65 63 |Table 10|-17.Spec|
|000049d0| 69 61 6c 20 63 61 73 65 | 73 20 66 6f 72 20 74 68 |ial case|s for th|
|000049e0| 65 20 6c 6f 67 32 20 66 | 75 6e 63 74 69 6f 6e 04 |e log2 f|unction.|
|000049f0| 6c 6f 67 62 2f 54 61 62 | 6c 65 20 31 30 2d 31 38 |logb/Tab|le 10-18|
|00004a00| 09 53 70 65 63 69 61 6c | 20 63 61 73 65 73 20 66 |.Special| cases f|
|00004a10| 6f 72 20 74 68 65 20 6c | 6f 67 62 20 66 75 6e 63 |or the l|ogb func|
|00004a20| 74 69 6f 6e 04 6d 6f 64 | 66 2f 54 61 62 6c 65 20 |tion.mod|f/Table |
|00004a30| 31 30 2d 31 39 09 53 70 | 65 63 69 61 6c 20 63 61 |10-19.Sp|ecial ca|
|00004a40| 73 65 73 20 66 6f 72 20 | 74 68 65 20 6d 6f 64 66 |ses for |the modf|
|00004a50| 20 66 75 6e 63 74 69 6f | 6e 17 54 72 69 67 6f 6e | functio|n.Trigon|
|00004a60| 6f 6d 65 74 72 69 63 20 | 46 75 6e 63 74 69 6f 6e |ometric |Function|
|00004a70| 73 03 63 6f 73 2e 54 61 | 62 6c 65 20 31 30 2d 32 |s.cos.Ta|ble 10-2|
|00004a80| 30 09 53 70 65 63 69 61 | 6c 20 63 61 73 65 73 20 |0.Specia|l cases |
|00004a90| 66 6f 72 20 74 68 65 20 | 63 6f 73 20 66 75 6e 63 |for the |cos func|
|00004aa0| 74 69 6f 6e 03 73 69 6e | 2e 54 61 62 6c 65 20 31 |tion.sin|.Table 1|
|00004ab0| 30 2d 32 31 09 53 70 65 | 63 69 61 6c 20 63 61 73 |0-21.Spe|cial cas|
|00004ac0| 65 73 20 66 6f 72 20 74 | 68 65 20 73 69 6e 20 66 |es for t|he sin f|
|00004ad0| 75 6e 63 74 69 6f 6e 03 | 74 61 6e 2e 54 61 62 6c |unction.|tan.Tabl|
|00004ae0| 65 20 31 30 2d 32 32 09 | 53 70 65 63 69 61 6c 20 |e 10-22.|Special |
|00004af0| 63 61 73 65 73 20 66 6f | 72 20 74 68 65 20 74 61 |cases fo|r the ta|
|00004b00| 6e 20 66 75 6e 63 74 69 | 6f 6e 04 61 63 6f 73 2f |n functi|on.acos/|
|00004b10| 54 61 62 6c 65 20 31 30 | 2d 32 33 09 53 70 65 63 |Table 10|-23.Spec|
|00004b20| 69 61 6c 20 63 61 73 65 | 73 20 66 6f 72 20 74 68 |ial case|s for th|
|00004b30| 65 20 61 63 6f 73 20 66 | 75 6e 63 74 69 6f 6e 04 |e acos f|unction.|
|00004b40| 61 73 69 6e 2f 54 61 62 | 6c 65 20 31 30 2d 32 34 |asin/Tab|le 10-24|
|00004b50| 09 53 70 65 63 69 61 6c | 20 63 61 73 65 73 20 66 |.Special| cases f|
|00004b60| 6f 72 20 74 68 65 20 61 | 73 69 6e 20 66 75 6e 63 |or the a|sin func|
|00004b70| 74 69 6f 6e 05 0d 61 74 | 61 6e 2f 54 61 62 6c 65 |tion..at|an/Table|
|00004b80| 20 31 30 2d 32 35 09 53 | 70 65 63 69 61 6c 20 63 | 10-25.S|pecial c|
|00004b90| 61 73 65 73 20 66 6f 72 | 20 74 68 65 20 61 74 61 |ases for| the ata|
|00004ba0| 6e 20 66 75 6e 63 74 69 | 6f 6e 05 61 74 61 6e 32 |n functi|on.atan2|
|00004bb0| 30 54 61 62 6c 65 20 31 | 30 2d 32 36 09 53 70 65 |0Table 1|0-26.Spe|
|00004bc0| 63 69 61 6c 20 63 61 73 | 65 73 20 66 6f 72 20 74 |cial cas|es for t|
|00004bd0| 68 65 20 61 74 61 6e 32 | 20 66 75 6e 63 74 69 6f |he atan2| functio|
|00004be0| 6e 15 0d 48 79 70 65 72 | 62 6f 6c 69 63 20 46 75 |n..Hyper|bolic Fu|
|00004bf0| 6e 63 74 69 6f 6e 73 04 | 63 6f 73 68 2f 54 61 62 |nctions.|cosh/Tab|
|00004c00| 6c 65 20 31 30 2d 32 37 | 09 53 70 65 63 69 61 6c |le 10-27|.Special|
|00004c10| 20 63 61 73 65 73 20 66 | 6f 72 20 74 68 65 20 63 | cases f|or the c|
|00004c20| 6f 73 68 20 66 75 6e 63 | 74 69 6f 6e 04 73 69 6e |osh func|tion.sin|
|00004c30| 68 2f 54 61 62 6c 65 20 | 31 30 2d 32 38 09 53 70 |h/Table |10-28.Sp|
|00004c40| 65 63 69 61 6c 20 63 61 | 73 65 73 20 66 6f 72 20 |ecial ca|ses for |
|00004c50| 74 68 65 20 73 69 6e 68 | 20 66 75 6e 63 74 69 6f |the sinh| functio|
|00004c60| 6e 04 74 61 6e 68 2f 54 | 61 62 6c 65 20 31 30 2d |n.tanh/T|able 10-|
|00004c70| 32 39 09 53 70 65 63 69 | 61 6c 20 63 61 73 65 73 |29.Speci|al cases|
|00004c80| 20 66 6f 72 20 74 68 65 | 20 74 61 6e 68 20 66 75 | for the| tanh fu|
|00004c90| 6e 63 74 69 6f 6e 05 61 | 63 6f 73 68 30 54 61 62 |nction.a|cosh0Tab|
|00004ca0| 6c 65 20 31 30 2d 33 30 | 09 53 70 65 63 69 61 6c |le 10-30|.Special|
|00004cb0| 20 63 61 73 65 73 20 66 | 6f 72 20 74 68 65 20 61 | cases f|or the a|
|00004cc0| 63 6f 73 68 20 66 75 6e | 63 74 69 6f 6e 06 0d 61 |cosh fun|ction..a|
|00004cd0| 73 69 6e 68 30 54 61 62 | 6c 65 20 31 30 2d 33 31 |sinh0Tab|le 10-31|
|00004ce0| 09 53 70 65 63 69 61 6c | 20 63 61 73 65 73 20 66 |.Special| cases f|
|00004cf0| 6f 72 20 74 68 65 20 61 | 73 69 6e 68 20 66 75 6e |or the a|sinh fun|
|00004d00| 63 74 69 6f 6e 05 61 74 | 61 6e 68 30 54 61 62 6c |ction.at|anh0Tabl|
|00004d10| 65 20 31 30 2d 33 32 09 | 53 70 65 63 69 61 6c 20 |e 10-32.|Special |
|00004d20| 63 61 73 65 73 20 66 6f | 72 20 74 68 65 20 61 74 |cases fo|r the at|
|00004d30| 61 6e 68 20 66 75 6e 63 | 74 69 6f 6e 13 46 69 6e |anh func|tion.Fin|
|00004d40| 61 6e 63 69 61 6c 20 46 | 75 6e 63 74 69 6f 6e 73 |ancial F|unctions|
|00004d50| 08 63 6f 6d 70 6f 75 6e | 64 33 54 61 62 6c 65 20 |.compoun|d3Table |
|00004d60| 31 30 2d 33 33 09 53 70 | 65 63 69 61 6c 20 63 61 |10-33.Sp|ecial ca|
|00004d70| 73 65 73 20 66 6f 72 20 | 74 68 65 20 63 6f 6d 70 |ses for |the comp|
|00004d80| 6f 75 6e 64 20 66 75 6e | 63 74 69 6f 6e 07 61 6e |ound fun|ction.an|
|00004d90| 6e 75 69 74 79 32 54 61 | 62 6c 65 20 31 30 2d 33 |nuity2Ta|ble 10-3|
|00004da0| 34 09 53 70 65 63 69 61 | 6c 20 63 61 73 65 73 20 |4.Specia|l cases |
|00004db0| 66 6f 72 20 74 68 65 20 | 61 6e 6e 75 69 74 79 20 |for the |annuity |
|00004dc0| 66 75 6e 63 74 69 6f 6e | 1a 0d 45 72 72 6f 72 20 |function|..Error |
|00004dd0| 61 6e 64 20 47 61 6d 6d | 61 20 46 75 6e 63 74 69 |and Gamm|a Functi|
|00004de0| 6f 6e 73 03 65 72 66 2e | 54 61 62 6c 65 20 31 30 |ons.erf.|Table 10|
|00004df0| 2d 33 35 09 53 70 65 63 | 69 61 6c 20 63 61 73 65 |-35.Spec|ial case|
|00004e00| 73 20 66 6f 72 20 74 68 | 65 20 65 72 66 20 66 75 |s for th|e erf fu|
|00004e10| 6e 63 74 69 6f 6e 04 65 | 72 66 63 2f 54 61 62 6c |nction.e|rfc/Tabl|
|00004e20| 65 20 31 30 2d 33 36 09 | 53 70 65 63 69 61 6c 20 |e 10-36.|Special |
|00004e30| 63 61 73 65 73 20 66 6f | 72 20 74 68 65 20 65 72 |cases fo|r the er|
|00004e40| 66 63 20 66 75 6e 63 74 | 69 6f 6e 05 67 61 6d 6d |fc funct|ion.gamm|
|00004e50| 61 30 54 61 62 6c 65 20 | 31 30 2d 33 37 09 53 70 |a0Table |10-37.Sp|
|00004e60| 65 63 69 61 6c 20 63 61 | 73 65 73 20 66 6f 72 20 |ecial ca|ses for |
|00004e70| 74 68 65 20 67 61 6d 6d | 61 20 66 75 6e 63 74 69 |the gamm|a functi|
|00004e80| 6f 6e 07 0d 6c 67 61 6d | 6d 61 31 54 61 62 6c 65 |on..lgam|ma1Table|
|00004e90| 20 31 30 2d 33 38 09 53 | 70 65 63 69 61 6c 20 63 | 10-38.S|pecial c|
|00004ea0| 61 73 65 73 20 66 6f 72 | 20 74 68 65 20 6c 67 61 |ases for| the lga|
|00004eb0| 6d 6d 61 20 66 75 6e 63 | 74 69 6f 6e 17 4d 69 73 |mma func|tion.Mis|
|00004ec0| 63 65 6c 6c 61 6e 65 6f | 75 73 20 46 75 6e 63 74 |cellaneo|us Funct|
|00004ed0| 69 6f 6e 73 09 6e 65 78 | 74 61 66 74 65 72 35 54 |ions.nex|tafter5T|
|00004ee0| 61 62 6c 65 20 31 30 2d | 33 39 09 53 70 65 63 69 |able 10-|39.Speci|
|00004ef0| 61 6c 20 63 61 73 65 73 | 20 66 6f 72 20 74 68 65 |al cases| for the|
|00004f00| 20 6e 65 78 74 61 66 74 | 65 72 20 66 75 6e 63 74 | nextaft|er funct|
|00004f10| 69 6f 6e 73 05 68 79 70 | 6f 74 30 54 61 62 6c 65 |ions.hyp|ot0Table|
|00004f20| 20 31 30 2d 34 30 09 53 | 70 65 63 69 61 6c 20 63 | 10-40.S|pecial c|
|00004f30| 61 73 65 73 20 66 6f 72 | 20 74 68 65 20 68 79 70 |ases for| the hyp|
|00004f40| 6f 74 20 66 75 6e 63 74 | 69 6f 6e 07 72 61 6e 64 |ot funct|ion.rand|
|00004f50| 6f 6d 78 21 0d 54 72 61 | 6e 73 63 65 6e 64 65 6e |omx!.Tra|nscenden|
|00004f60| 74 61 6c 20 46 75 6e 63 | 74 69 6f 6e 73 20 53 75 |tal Func|tions Su|
|00004f70| 6d 6d 61 72 79 26 0d 4e | 75 6d 65 72 69 63 73 20 |mmary&.N|umerics |
|00004f80| 69 6e 20 50 6f 77 65 72 | 50 43 20 41 73 73 65 6d |in Power|PC Assem|
|00004f90| 62 6c 79 20 4c 61 6e 67 | 75 61 67 65 2a 49 6e 74 |bly Lang|uage*Int|
|00004fa0| 72 6f 64 75 63 74 69 6f | 6e 20 74 6f 20 41 73 73 |roductio|n to Ass|
|00004fb0| 65 6d 62 6c 79 2d 4c 61 | 6e 67 75 61 67 65 20 4e |embly-La|nguage N|
|00004fc0| 75 6d 65 72 69 63 73 23 | 50 6f 77 65 72 50 43 20 |umerics#|PowerPC |
|00004fd0| 46 6c 6f 61 74 69 6e 67 | 2d 50 6f 69 6e 74 20 41 |Floating|-Point A|
|00004fe0| 72 63 68 69 74 65 63 74 | 75 72 65 1b 46 6c 6f 61 |rchitect|ure.Floa|
|00004ff0| 74 69 6e 67 2d 50 6f 69 | 6e 74 20 44 61 74 61 20 |ting-Poi|nt Data |
|00005000| 46 6f 72 6d 61 74 73 18 | 46 6c 6f 61 74 69 6e 67 |Formats.|Floating|
|00005010| 2d 50 6f 69 6e 74 20 52 | 65 67 69 73 74 65 72 73 |-Point R|egisters|
|00005020| 29 0d 46 6c 6f 61 74 69 | 6e 67 2d 50 6f 69 6e 74 |).Floati|ng-Point|
|00005030| 20 53 70 65 63 69 61 6c | 2d 50 75 72 70 6f 73 65 | Special|-Purpose|
|00005040| 20 52 65 67 69 73 74 65 | 72 73 1a 54 68 65 20 4d | Registe|rs.The M|
|00005050| 61 63 68 69 6e 65 20 53 | 74 61 74 65 20 52 65 67 |achine S|tate Reg|
|00005060| 69 73 74 65 72 1b 46 6c | 6f 61 74 69 6e 67 2d 50 |ister.Fl|oating-P|
|00005070| 6f 69 6e 74 20 49 6e 73 | 74 72 75 63 74 69 6f 6e |oint Ins|truction|
|00005080| 73 1b 4c 6f 61 64 20 61 | 6e 64 20 53 74 6f 72 65 |s.Load a|nd Store|
|00005090| 20 49 6e 73 74 72 75 63 | 74 69 6f 6e 73 35 54 61 | Instruc|tions5Ta|
|000050a0| 62 6c 65 20 31 31 2d 31 | 09 4c 6f 61 64 20 61 6e |ble 11-1|.Load an|
|000050b0| 64 20 73 74 6f 72 65 20 | 66 6c 6f 61 74 69 6e 67 |d store |floating|
|000050c0| 2d 70 6f 69 6e 74 20 69 | 6e 73 74 72 75 63 74 69 |-point i|nstructi|
|000050d0| 6f 6e 73 31 0d 4e 75 6d | 65 72 69 63 73 20 45 78 |ons1.Num|erics Ex|
|000050e0| 61 6d 70 6c 65 20 55 73 | 69 6e 67 20 50 6f 77 65 |ample Us|ing Powe|
|000050f0| 72 50 43 20 41 73 73 65 | 6d 62 6c 79 20 4c 61 6e |rPC Asse|mbly Lan|
|00005100| 67 75 61 67 65 23 4c 69 | 73 74 69 6e 67 20 31 31 |guage#Li|sting 11|
|00005110| 2d 31 09 0d 50 6f 6c 79 | 6e 6f 6d 69 61 6c 20 65 |-1..Poly|nomial e|
|00005120| 76 61 6c 75 61 74 69 6f | 6e 28 41 73 73 65 6d 62 |valuatio|n(Assemb|
|00005130| 6c 79 2d 4c 61 6e 67 75 | 61 67 65 20 45 6e 76 69 |ly-Langu|age Envi|
|00005140| 72 6f 6e 6d 65 6e 74 61 | 6c 20 43 6f 6e 74 72 6f |ronmenta|l Contro|
|00005150| 6c 73 1e 54 68 65 20 46 | 6c 6f 61 74 69 6e 67 2d |ls.The F|loating-|
|00005160| 50 6f 69 6e 74 20 45 6e | 76 69 72 6f 6e 6d 65 6e |Point En|vironmen|
|00005170| 74 2e 54 68 65 20 46 6c | 6f 61 74 69 6e 67 2d 50 |t.The Fl|oating-P|
|00005180| 6f 69 6e 74 20 53 74 61 | 74 75 73 20 61 6e 64 20 |oint Sta|tus and |
|00005190| 43 6f 6e 74 72 6f 6c 20 | 52 65 67 69 73 74 65 72 |Control |Register|
|000051a0| 3e 46 69 67 75 72 65 20 | 31 32 2d 31 09 46 6c 6f |>Figure |12-1.Flo|
|000051b0| 61 74 69 6e 67 2d 50 6f | 69 6e 74 20 53 74 61 74 |ating-Po|int Stat|
|000051c0| 75 73 20 61 6e 64 20 43 | 6f 6e 74 72 6f 6c 20 52 |us and C|ontrol R|
|000051d0| 65 67 69 73 74 65 72 20 | 28 46 50 53 43 52 29 2b |egister |(FPSCR)+|
|000051e0| 54 61 62 6c 65 20 31 32 | 2d 31 09 42 69 74 20 61 |Table 12|-1.Bit a|
|000051f0| 73 73 69 67 6e 6d 65 6e | 74 73 20 66 6f 72 20 46 |ssignmen|ts for F|
|00005200| 50 53 43 52 20 66 69 65 | 6c 64 73 16 54 68 65 20 |PSCR fie|lds.The |
|00005210| 43 6f 6e 64 69 74 69 6f | 6e 20 52 65 67 69 73 74 |Conditio|n Regist|
|00005220| 65 72 1e 46 69 67 75 72 | 65 20 31 32 2d 32 09 43 |er.Figur|e 12-2.C|
|00005230| 6f 6e 64 69 74 69 6f 6e | 20 52 65 67 69 73 74 65 |ondition| Registe|
|00005240| 72 3b 54 61 62 6c 65 20 | 31 32 2d 32 09 42 72 61 |r;Table |12-2.Bra|
|00005250| 6e 63 68 20 69 6e 73 74 | 72 75 63 74 69 6f 6e 73 |nch inst|ructions|
|00005260| 20 75 73 69 6e 67 20 74 | 68 65 20 43 6f 6e 64 69 | using t|he Condi|
|00005270| 74 69 6f 6e 20 52 65 67 | 69 73 74 65 72 1a 0d 49 |tion Reg|ister..I|
|00005280| 6e 71 75 69 72 69 65 73 | 3a 20 43 6c 61 73 73 20 |nquiries|: Class |
|00005290| 61 6e 64 20 53 69 67 6e | 2f 46 6c 6f 61 74 69 6e |and Sign|/Floatin|
|000052a0| 67 2d 50 6f 69 6e 74 20 | 52 65 73 75 6c 74 20 46 |g-Point |Result F|
|000052b0| 6c 61 67 73 20 61 6e 64 | 20 43 6f 6e 64 69 74 69 |lags and| Conditi|
|000052c0| 6f 6e 20 43 6f 64 65 73 | 2e 54 61 62 6c 65 20 31 |on Codes|.Table 1|
|000052d0| 32 2d 33 09 56 61 6c 75 | 65 73 20 66 6f 72 20 46 |2-3.Valu|es for F|
|000052e0| 50 53 43 52 20 62 69 74 | 73 20 31 35 20 74 68 72 |PSCR bit|s 15 thr|
|000052f0| 6f 75 67 68 20 31 39 1b | 0d 45 78 61 6d 70 6c 65 |ough 19.|.Example|
|00005300| 3a 20 44 65 74 65 72 6d | 69 6e 69 6e 67 20 43 6c |: Determ|ining Cl|
|00005310| 61 73 73 45 4c 69 73 74 | 69 6e 67 20 31 32 2d 31 |assEList|ing 12-1|
|00005320| 09 44 65 74 65 72 6d 69 | 6e 69 6e 67 20 74 68 65 |.Determi|ning the|
|00005330| 20 63 6c 61 73 73 20 6f | 66 20 61 6e 20 61 73 73 | class o|f an ass|
|00005340| 65 6d 62 6c 65 72 20 69 | 6e 73 74 72 75 63 74 69 |embler i|nstructi|
|00005350| 6f 6e 20 72 65 73 75 6c | 74 1e 53 65 74 74 69 6e |on resul|t.Settin|
|00005360| 67 20 74 68 65 20 52 6f | 75 6e 64 69 6e 67 20 44 |g the Ro|unding D|
|00005370| 69 72 65 63 74 69 6f 6e | 2f 54 61 62 6c 65 20 31 |irection|/Table 1|
|00005380| 32 2d 34 09 52 6f 75 6e | 64 69 6e 67 20 64 69 72 |2-4.Roun|ding dir|
|00005390| 65 63 74 69 6f 6e 20 62 | 69 74 73 20 69 6e 20 74 |ection b|its in t|
|000053a0| 68 65 20 46 50 53 43 52 | 19 46 6c 6f 61 74 69 6e |he FPSCR|.Floatin|
|000053b0| 67 2d 50 6f 69 6e 74 20 | 45 78 63 65 70 74 69 6f |g-Point |Exceptio|
|000053c0| 6e 73 1b 45 78 63 65 70 | 74 69 6f 6e 20 42 69 74 |ns.Excep|tion Bit|
|000053d0| 73 20 69 6e 20 74 68 65 | 20 46 50 53 43 52 35 54 |s in the| FPSCR5T|
|000053e0| 61 62 6c 65 20 31 32 2d | 35 09 46 6c 6f 61 74 69 |able 12-|5.Floati|
|000053f0| 6e 67 2d 70 6f 69 6e 74 | 20 65 78 63 65 70 74 69 |ng-point| excepti|
|00005400| 6f 6e 20 62 69 74 73 20 | 69 6e 20 74 68 65 20 46 |on bits |in the F|
|00005410| 50 53 43 52 31 0d 53 69 | 67 6e 61 6c 69 6e 67 20 |PSCR1.Si|gnaling |
|00005420| 61 6e 64 20 43 6c 65 61 | 72 69 6e 67 20 46 6c 6f |and Clea|ring Flo|
|00005430| 61 74 69 6e 67 2d 50 6f | 69 6e 74 20 45 78 63 65 |ating-Po|int Exce|
|00005440| 70 74 69 6f 6e 73 31 0d | 45 6e 61 62 6c 69 6e 67 |ptions1.|Enabling|
|00005450| 20 61 6e 64 20 44 69 73 | 61 62 6c 69 6e 67 20 46 | and Dis|abling F|
|00005460| 6c 6f 61 74 69 6e 67 2d | 50 6f 69 6e 74 20 45 78 |loating-|Point Ex|
|00005470| 63 65 70 74 69 6f 6e 73 | 25 54 65 73 74 69 6e 67 |ceptions|%Testing|
|00005480| 20 66 6f 72 20 46 6c 6f | 61 74 69 6e 67 2d 50 6f | for Flo|ating-Po|
|00005490| 69 6e 74 20 45 78 63 65 | 70 74 69 6f 6e 73 41 4c |int Exce|ptionsAL|
|000054a0| 69 73 74 69 6e 67 20 31 | 32 2d 32 09 0d 54 65 73 |isting 1|2-2..Tes|
|000054b0| 74 69 6e 67 20 66 6f 72 | 20 6f 63 63 75 72 72 65 |ting for| occurre|
|000054c0| 6e 63 65 20 6f 66 20 66 | 6c 6f 61 74 69 6e 67 2d |nce of f|loating-|
|000054d0| 70 6f 69 6e 74 20 65 78 | 63 65 70 74 69 6f 6e 73 |point ex|ceptions|
|000054e0| 34 0d 53 61 76 69 6e 67 | 20 61 6e 64 20 52 65 73 |4.Saving| and Res|
|000054f0| 74 6f 72 69 6e 67 20 74 | 68 65 20 46 6c 6f 61 74 |toring t|he Float|
|00005500| 69 6e 67 2d 50 6f 69 6e | 74 20 45 6e 76 69 72 6f |ing-Poin|t Enviro|
|00005510| 6e 6d 65 6e 74 35 46 69 | 67 75 72 65 20 31 32 2d |nment5Fi|gure 12-|
|00005520| 33 09 0d 53 52 43 20 61 | 6e 64 20 44 53 54 20 66 |3..SRC a|nd DST f|
|00005530| 69 65 6c 64 73 20 66 6f | 72 20 6d 74 66 73 66 20 |ields fo|r mtfsf |
|00005540| 69 6e 73 74 72 75 63 74 | 69 6f 6e 40 4c 69 73 74 |instruct|ion@List|
|00005550| 69 6e 67 20 31 32 2d 33 | 09 53 61 76 69 6e 67 20 |ing 12-3|.Saving |
|00005560| 61 6e 64 20 72 65 73 74 | 6f 72 69 6e 67 20 74 68 |and rest|oring th|
|00005570| 65 20 66 6c 6f 61 74 69 | 6e 67 2d 70 6f 69 6e 74 |e floati|ng-point|
|00005580| 20 65 6e 76 69 72 6f 6e | 6d 65 6e 74 25 41 73 73 | environ|ment%Ass|
|00005590| 65 6d 62 6c 79 2d 4c 61 | 6e 67 75 61 67 65 20 4e |embly-La|nguage N|
|000055a0| 75 6d 65 72 69 63 20 43 | 6f 6e 76 65 72 73 69 6f |umeric C|onversio|
|000055b0| 6e 73 32 43 6f 6e 76 65 | 72 73 69 6f 6e 73 20 46 |ns2Conve|rsions F|
|000055c0| 72 6f 6d 20 49 6e 74 65 | 67 65 72 20 74 6f 20 46 |rom Inte|ger to F|
|000055d0| 6c 6f 61 74 69 6e 67 2d | 50 6f 69 6e 74 20 46 6f |loating-|Point Fo|
|000055e0| 72 6d 61 74 73 4e 4c 69 | 73 74 69 6e 67 20 31 33 |rmatsNLi|sting 13|
|000055f0| 2d 31 09 0d 43 6f 6e 76 | 65 72 74 69 6e 67 20 61 |-1..Conv|erting a|
|00005600| 20 6e 75 6d 62 65 72 20 | 66 72 6f 6d 20 69 6e 74 | number |from int|
|00005610| 65 67 65 72 20 66 6f 72 | 6d 61 74 20 74 6f 20 66 |eger for|mat to f|
|00005620| 6c 6f 61 74 69 6e 67 2d | 70 6f 69 6e 74 20 66 6f |loating-|point fo|
|00005630| 72 6d 61 74 32 43 6f 6e | 76 65 72 73 69 6f 6e 73 |rmat2Con|versions|
|00005640| 20 46 72 6f 6d 20 46 6c | 6f 61 74 69 6e 67 2d 50 | From Fl|oating-P|
|00005650| 6f 69 6e 74 20 74 6f 20 | 49 6e 74 65 67 65 72 20 |oint to |Integer |
|00005660| 46 6f 72 6d 61 74 73 28 | 43 6f 6e 76 65 72 73 69 |Formats(|Conversi|
|00005670| 6f 6e 73 20 46 72 6f 6d | 20 53 69 6e 67 6c 65 20 |ons From| Single |
|00005680| 74 6f 20 44 6f 75 62 6c | 65 20 46 6f 72 6d 61 74 |to Doubl|e Format|
|00005690| 28 43 6f 6e 76 65 72 73 | 69 6f 6e 73 20 46 72 6f |(Convers|ions Fro|
|000056a0| 6d 20 44 6f 75 62 6c 65 | 20 74 6f 20 53 69 6e 67 |m Double| to Sing|
|000056b0| 6c 65 20 46 6f 72 6d 61 | 74 24 41 73 73 65 6d 62 |le Forma|t$Assemb|
|000056c0| 6c 79 2d 4c 61 6e 67 75 | 61 67 65 20 4e 75 6d 65 |ly-Langu|age Nume|
|000056d0| 72 69 63 20 4f 70 65 72 | 61 74 69 6f 6e 73 15 43 |ric Oper|ations.C|
|000056e0| 6f 6d 70 61 72 69 73 6f | 6e 20 4f 70 65 72 61 74 |ompariso|n Operat|
|000056f0| 69 6f 6e 73 15 41 72 69 | 74 68 6d 65 74 69 63 20 |ions.Ari|thmetic |
|00005700| 4f 70 65 72 61 74 69 6f | 6e 73 17 41 72 69 74 68 |Operatio|ns.Arith|
|00005710| 6d 65 74 69 63 20 49 6e | 73 74 72 75 63 74 69 6f |metic In|structio|
|00005720| 6e 73 1a 0d 4d 75 6c 74 | 69 70 6c 79 2d 41 64 64 |ns..Mult|iply-Add|
|00005730| 20 49 6e 73 74 72 75 63 | 74 69 6f 6e 73 11 4d 6f | Instruc|tions.Mo|
|00005740| 76 65 20 49 6e 73 74 72 | 75 63 74 69 6f 6e 73 27 |ve Instr|uctions'|
|00005750| 0d 54 72 61 6e 73 63 65 | 6e 64 65 6e 74 61 6c 20 |.Transce|ndental |
|00005760| 61 6e 64 20 41 75 78 69 | 6c 69 61 72 79 20 46 75 |and Auxi|liary Fu|
|00005770| 6e 63 74 69 6f 6e 73 0a | 41 70 70 65 6e 64 69 78 |nctions.|Appendix|
|00005780| 65 73 1e 0d 53 41 4e 45 | 20 56 65 72 73 75 73 20 |es..SANE| Versus |
|00005790| 50 6f 77 65 72 50 43 20 | 4e 75 6d 65 72 69 63 73 |PowerPC |Numerics|
|000057a0| 20 27 43 6f 6d 70 61 72 | 69 73 6f 6e 20 6f 66 20 | 'Compar|ison of |
|000057b0| 53 41 4e 45 20 61 6e 64 | 20 50 6f 77 65 72 50 43 |SANE and| PowerPC|
|000057c0| 20 4e 75 6d 65 72 69 63 | 73 1c 46 6c 6f 61 74 69 | Numeric|s.Floati|
|000057d0| 6e 67 2d 50 6f 69 6e 74 | 20 44 61 74 61 20 46 6f |ng-Point| Data Fo|
|000057e0| 72 6d 61 74 73 20 0c 43 | 6f 6e 76 65 72 73 69 6f |rmats .C|onversio|
|000057f0| 6e 73 20 16 45 78 70 72 | 65 73 73 69 6f 6e 20 45 |ns .Expr|ession E|
|00005800| 76 61 6c 75 61 74 69 6f | 6e 20 2a 49 6e 66 69 6e |valuatio|n *Infin|
|00005810| 69 74 69 65 73 2c 20 4e | 61 4e 73 2c 20 61 6e 64 |ities, N|aNs, and|
|00005820| 20 44 65 6e 6f 72 6d 61 | 6c 69 7a 65 64 20 4e 75 | Denorma|lized Nu|
|00005830| 6d 62 65 72 73 24 41 72 | 69 74 68 6d 65 74 69 63 |mbers$Ar|ithmetic|
|00005840| 20 61 6e 64 20 43 6f 6d | 70 61 72 69 73 6f 6e 20 | and Com|parison |
|00005850| 4f 70 65 72 61 74 69 6f | 6e 73 16 45 6e 76 69 72 |Operatio|ns.Envir|
|00005860| 6f 6e 6d 65 6e 74 61 6c | 20 43 6f 6e 74 72 6f 6c |onmental| Control|
|00005870| 73 25 54 72 61 6e 73 63 | 65 6e 64 65 6e 74 61 6c |s%Transc|endental|
|00005880| 20 28 45 6c 65 6d 65 6e | 74 61 72 79 29 20 46 75 | (Elemen|tary) Fu|
|00005890| 6e 63 74 69 6f 6e 73 20 | 50 6f 72 74 69 6e 67 20 |nctions |Porting |
|000058a0| 53 41 4e 45 20 74 6f 20 | 50 6f 77 65 72 50 43 20 |SANE to |PowerPC |
|000058b0| 4e 75 6d 65 72 69 63 73 | 21 52 65 70 6c 61 63 69 |Numerics|!Replaci|
|000058c0| 6e 67 20 56 61 72 69 61 | 62 6c 65 73 20 6f 66 20 |ng Varia|bles of |
|000058d0| 54 79 70 65 20 63 6f 6d | 70 20 29 55 73 69 6e 67 |Type com|p )Using|
|000058e0| 20 4d 61 74 68 4c 69 62 | 20 49 6e 73 74 65 61 64 | MathLib| Instead|
|000058f0| 20 6f 66 20 74 68 65 20 | 53 41 4e 45 20 4c 69 62 | of the |SANE Lib|
|00005900| 72 61 72 79 23 52 65 70 | 6c 61 63 69 6e 67 20 45 |rary#Rep|lacing E|
|00005910| 78 74 65 6e 64 65 64 20 | 46 6f 72 6d 61 74 20 56 |xtended |Format V|
|00005920| 61 72 69 61 62 6c 65 73 | 17 55 73 69 6e 67 20 4d |ariables|.Using M|
|00005930| 61 74 68 4c 69 62 20 46 | 75 6e 63 74 69 6f 6e 73 |athLib F|unctions|
|00005940| 27 44 69 66 66 65 72 65 | 6e 63 65 73 20 69 6e 20 |'Differe|nces in |
|00005950| 54 72 61 6e 73 63 65 6e | 64 65 6e 74 61 6c 20 46 |Transcen|dental F|
|00005960| 75 6e 63 74 69 6f 6e 73 | 27 44 69 66 66 65 72 65 |unctions|'Differe|
|00005970| 6e 63 65 73 20 69 6e 20 | 43 6c 61 73 73 20 61 6e |nces in |Class an|
|00005980| 64 20 53 69 67 6e 20 49 | 6e 71 75 69 72 69 65 73 |d Sign I|nquiries|
|00005990| 39 54 61 62 6c 65 20 41 | 2d 31 09 43 6c 61 73 73 |9Table A|-1.Class|
|000059a0| 20 61 6e 64 20 73 69 67 | 6e 20 69 6e 71 75 69 72 | and sig|n inquir|
|000059b0| 69 65 73 20 69 6e 20 53 | 41 4e 45 20 76 65 72 73 |ies in S|ANE vers|
|000059c0| 75 73 20 4d 61 74 68 4c | 69 62 26 0d 44 69 66 66 |us MathL|ib&.Diff|
|000059d0| 65 72 65 6e 63 65 73 20 | 69 6e 20 45 6e 76 69 72 |erences |in Envir|
|000059e0| 6f 6e 6d 65 6e 74 61 6c | 20 43 6f 6e 74 72 6f 6c |onmental| Control|
|000059f0| 73 3f 54 61 62 6c 65 20 | 41 2d 32 09 45 6e 76 69 |s?Table |A-2.Envi|
|00005a00| 72 6f 6e 6d 65 6e 74 61 | 6c 20 61 63 63 65 73 73 |ronmenta|l access|
|00005a10| 20 66 75 6e 63 74 69 6f | 6e 73 20 69 6e 20 53 41 | functio|ns in SA|
|00005a20| 4e 45 20 76 65 72 73 75 | 73 20 4d 61 74 68 4c 69 |NE versu|s MathLi|
|00005a30| 62 45 4c 69 73 74 69 6e | 67 20 41 2d 31 09 55 73 |bEListin|g A-1.Us|
|00005a40| 69 6e 67 20 65 6e 76 69 | 72 6f 6e 6d 65 6e 74 61 |ing envi|ronmenta|
|00005a50| 6c 20 63 6f 6e 74 72 6f | 6c 73 20 69 6e 20 53 41 |l contro|ls in SA|
|00005a60| 4e 45 20 61 6e 64 20 50 | 6f 77 65 72 50 43 20 4e |NE and P|owerPC N|
|00005a70| 75 6d 65 72 69 63 73 1f | 0d 43 6f 6d 70 61 74 69 |umerics.|.Compati|
|00005a80| 62 69 6c 69 74 79 20 54 | 6f 6f 6c 73 20 69 6e 20 |bility T|ools in |
|00005a90| 4d 61 74 68 4c 69 62 15 | 50 6f 72 74 61 62 6c 65 |MathLib.|Portable|
|00005aa0| 20 44 65 63 6c 61 72 61 | 74 69 6f 6e 73 2a 54 61 | Declara|tions*Ta|
|00005ab0| 62 6c 65 20 41 2d 33 09 | 66 6c 6f 61 74 5f 74 20 |ble A-3.|float_t |
|00005ac0| 61 6e 64 20 64 6f 75 62 | 6c 65 5f 74 20 64 65 66 |and doub|le_t def|
|00005ad0| 69 6e 69 74 69 6f 6e 73 | 07 0d 4d 61 63 72 6f 73 |initions|..Macros|
|00005ae0| 25 0d 50 6f 72 74 69 6e | 67 20 50 72 6f 67 72 61 |%.Portin|g Progra|
|00005af0| 6d 73 20 74 6f 20 50 6f | 77 65 72 50 43 20 4e 75 |ms to Po|werPC Nu|
|00005b00| 6d 65 72 69 63 73 22 53 | 65 6d 61 6e 74 69 63 73 |merics"S|emantics|
|00005b10| 20 6f 66 20 41 72 69 74 | 68 6d 65 74 69 63 20 45 | of Arit|hmetic E|
|00005b20| 76 61 6c 75 61 74 69 6f | 6e 0f 0d 4d 69 78 65 64 |valuatio|n..Mixed|
|00005b30| 20 46 6f 72 6d 61 74 73 | 20 19 46 6c 6f 61 74 69 | Formats| .Floati|
|00005b40| 6e 67 2d 50 6f 69 6e 74 | 20 50 72 65 63 69 73 69 |ng-Point| Precisi|
|00005b50| 6f 6e 20 17 54 68 65 20 | 52 75 6c 65 73 20 6f 66 |on .The |Rules of|
|00005b60| 20 45 76 61 6c 75 61 74 | 69 6f 6e 15 54 68 65 20 | Evaluat|ion.The |
|00005b70| 49 6e 76 61 6c 69 64 20 | 45 78 63 65 70 74 69 6f |Invalid |Exceptio|
|00005b80| 6e 15 0d 4d 61 74 68 4c | 69 62 20 48 65 61 64 65 |n..MathL|ib Heade|
|00005b90| 72 20 46 69 6c 65 73 21 | 46 6c 6f 61 74 69 6e 67 |r Files!|Floating|
|00005ba0| 2d 50 6f 69 6e 74 20 48 | 65 61 64 65 72 20 46 69 |-Point H|eader Fi|
|00005bb0| 6c 65 20 28 66 70 2e 68 | 29 30 0d 46 6c 6f 61 74 |le (fp.h|)0.Float|
|00005bc0| 69 6e 67 2d 50 6f 69 6e | 74 20 45 6e 76 69 72 6f |ing-Poin|t Enviro|
|00005bd0| 6e 6d 65 6e 74 20 48 65 | 61 64 65 72 20 46 69 6c |nment He|ader Fil|
|00005be0| 65 20 28 66 65 6e 76 2e | 68 29 23 0d 46 50 43 45 |e (fenv.|h)#.FPCE|
|00005bf0| 20 52 65 63 6f 6d 6d 65 | 6e 64 61 74 69 6f 6e 73 | Recomme|ndations|
|00005c00| 20 66 6f 72 20 43 6f 6d | 70 69 6c 65 72 73 1b 45 | for Com|pilers.E|
|00005c10| 6e 76 69 72 6f 6e 6d 65 | 6e 74 61 6c 20 41 63 63 |nvironme|ntal Acc|
|00005c20| 65 73 73 20 53 77 69 74 | 63 68 1b 43 6f 6e 74 72 |ess Swit|ch.Contr|
|00005c30| 61 63 74 69 6f 6e 20 4f | 70 65 72 61 74 6f 72 20 |action O|perator |
|00005c40| 53 77 69 74 63 68 24 48 | 65 78 61 64 65 63 69 6d |Switch$H|exadecim|
|00005c50| 61 6c 20 46 6c 6f 61 74 | 69 6e 67 2d 50 6f 69 6e |al Float|ing-Poin|
|00005c60| 74 20 43 6f 6e 73 74 61 | 6e 74 73 2c 49 6d 70 6c |t Consta|nts,Impl|
|00005c70| 65 6d 65 6e 74 69 6e 67 | 20 61 6e 20 45 78 70 72 |ementing| an Expr|
|00005c80| 65 73 73 69 6f 6e 20 45 | 76 61 6c 75 61 74 69 6f |ession E|valuatio|
|00005c90| 6e 20 4d 65 74 68 6f 64 | 29 45 78 70 72 65 73 73 |n Method|)Express|
|00005ca0| 69 6f 6e 20 45 76 61 6c | 75 61 74 69 6f 6e 20 57 |ion Eval|uation W|
|00005cb0| 69 74 68 6f 75 74 20 57 | 69 64 65 73 74 20 4e 65 |ithout W|idest Ne|
|00005cc0| 65 64 27 0d 45 78 70 72 | 65 73 73 69 6f 6e 20 45 |ed'.Expr|ession E|
|00005cd0| 76 61 6c 75 61 74 69 6f | 6e 20 57 69 74 68 20 57 |valuatio|n With W|
|00005ce0| 69 64 65 73 74 20 4e 65 | 65 64 22 46 6c 6f 61 74 |idest Ne|ed"Float|
|00005cf0| 69 6e 67 2d 50 6f 69 6e | 74 20 43 6f 6e 73 74 61 |ing-Poin|t Consta|
|00005d00| 6e 74 20 45 76 61 6c 75 | 61 74 69 6f 6e 23 49 6e |nt Evalu|ation#In|
|00005d10| 69 74 69 61 6c 69 7a 69 | 6e 67 20 46 6c 6f 61 74 |itializi|ng Float|
|00005d20| 69 6e 67 2d 50 6f 69 6e | 74 20 4f 62 6a 65 63 74 |ing-Poin|t Object|
|00005d30| 73 2e 0d 43 6f 6d 70 69 | 6c 65 72 20 45 78 74 65 |s..Compi|ler Exte|
|00005d40| 6e 73 69 6f 6e 73 20 66 | 6f 72 20 45 78 70 72 65 |nsions f|or Expre|
|00005d50| 73 73 69 6f 6e 20 45 76 | 61 6c 75 61 74 69 6f 6e |ssion Ev|aluation|
|00005d60| 2c 44 65 74 65 72 6d 69 | 6e 69 6e 67 20 74 68 65 |,Determi|ning the|
|00005d70| 20 45 78 70 72 65 73 73 | 69 6f 6e 20 45 76 61 6c | Express|ion Eval|
|00005d80| 75 61 74 69 6f 6e 20 4d | 65 74 68 6f 64 17 57 69 |uation M|ethod.Wi|
|00005d90| 64 65 6e 69 6e 67 20 66 | 6f 72 20 45 66 66 69 63 |dening f|or Effic|
|00005da0| 69 65 6e 63 79 12 0d 4d | 61 74 68 4c 69 62 20 52 |iency..M|athLib R|
|00005db0| 65 66 65 72 65 6e 63 65 | 1b 46 6c 6f 61 74 69 6e |eference|.Floatin|
|00005dc0| 67 2d 50 6f 69 6e 74 20 | 44 61 74 61 20 46 6f 72 |g-Point |Data For|
|00005dd0| 6d 61 74 73 26 46 69 67 | 75 72 65 20 45 2d 31 09 |mats&Fig|ure E-1.|
|00005de0| 46 6c 6f 61 74 69 6e 67 | 2d 70 6f 69 6e 74 20 64 |Floating|-point d|
|00005df0| 61 74 61 20 66 6f 72 6d | 61 74 73 2c 54 61 62 6c |ata form|ats,Tabl|
|00005e00| 65 20 45 2d 31 09 49 6e | 74 65 72 70 72 65 74 69 |e E-1.In|terpreti|
|00005e10| 6e 67 20 66 6c 6f 61 74 | 69 6e 67 2d 70 6f 69 6e |ng float|ing-poin|
|00005e20| 74 20 76 61 6c 75 65 73 | 27 54 61 62 6c 65 20 45 |t values|'Table E|
|00005e30| 2d 32 09 43 6c 61 73 73 | 20 61 6e 64 20 73 69 67 |-2.Class| and sig|
|00005e40| 6e 20 69 6e 71 75 69 72 | 79 20 6d 61 63 72 6f 73 |n inquir|y macros|
|00005e50| 17 0d 45 6e 76 69 72 6f | 6e 6d 65 6e 74 61 6c 20 |..Enviro|nmental |
|00005e60| 43 6f 6e 74 72 6f 6c 73 | 1e 54 61 62 6c 65 20 45 |Controls|.Table E|
|00005e70| 2d 33 09 45 6e 76 69 72 | 6f 6e 6d 65 6e 74 61 6c |-3.Envir|onmental|
|00005e80| 20 61 63 63 65 73 73 23 | 54 61 62 6c 65 20 45 2d | access#|Table E-|
|00005e90| 34 09 46 6c 6f 61 74 69 | 6e 67 2d 70 6f 69 6e 74 |4.Floati|ng-point|
|00005ea0| 20 65 78 63 65 70 74 69 | 6f 6e 73 22 54 61 62 6c | excepti|ons"Tabl|
|00005eb0| 65 20 45 2d 35 09 52 6f | 75 6e 64 69 6e 67 20 64 |e E-5.Ro|unding d|
|00005ec0| 69 72 65 63 74 69 6f 6e | 20 6d 6f 64 65 73 19 0d |irection| modes..|
|00005ed0| 4f 70 65 72 61 74 69 6f | 6e 73 20 61 6e 64 20 46 |Operatio|ns and F|
|00005ee0| 75 6e 63 74 69 6f 6e 73 | 1f 54 61 62 6c 65 20 45 |unctions|.Table E|
|00005ef0| 2d 36 09 41 72 69 74 68 | 6d 65 74 69 63 20 6f 70 |-6.Arith|metic op|
|00005f00| 65 72 61 74 69 6f 6e 73 | 25 54 61 62 6c 65 20 45 |erations|%Table E|
|00005f10| 2d 37 09 43 6f 6e 76 65 | 72 73 69 6f 6e 73 20 74 |-7.Conve|rsions t|
|00005f20| 6f 20 69 6e 74 65 67 65 | 72 20 74 79 70 65 37 54 |o intege|r type7T|
|00005f30| 61 62 6c 65 20 45 2d 38 | 09 43 6f 6e 76 65 72 73 |able E-8|.Convers|
|00005f40| 69 6f 6e 73 20 74 6f 20 | 69 6e 74 65 67 65 72 20 |ions to |integer |
|00005f50| 69 6e 20 66 6c 6f 61 74 | 69 6e 67 2d 70 6f 69 6e |in float|ing-poin|
|00005f60| 74 20 74 79 70 65 38 54 | 61 62 6c 65 20 45 2d 39 |t type8T|able E-9|
|00005f70| 09 43 6f 6e 76 65 72 73 | 69 6f 6e 73 20 62 65 74 |.Convers|ions bet|
|00005f80| 77 65 65 6e 20 62 69 6e | 61 72 79 20 61 6e 64 20 |ween bin|ary and |
|00005f90| 64 65 63 69 6d 61 6c 20 | 66 6f 72 6d 61 74 73 2e |decimal |formats.|
|00005fa0| 54 61 62 6c 65 20 45 2d | 31 30 09 43 6f 6e 76 65 |Table E-|10.Conve|
|00005fb0| 72 73 69 6f 6e 73 20 62 | 65 74 77 65 65 6e 20 64 |rsions b|etween d|
|00005fc0| 65 63 69 6d 61 6c 20 66 | 6f 72 6d 61 74 73 20 54 |ecimal f|ormats T|
|00005fd0| 61 62 6c 65 20 45 2d 31 | 31 09 43 6f 6d 70 61 72 |able E-1|1.Compar|
|00005fe0| 69 73 6f 6e 20 6f 70 65 | 72 61 74 69 6f 6e 73 26 |ison ope|rations&|
|00005ff0| 54 61 62 6c 65 20 45 2d | 31 32 09 53 69 67 6e 20 |Table E-|12.Sign |
|00006000| 6d 61 6e 69 70 75 6c 61 | 74 69 6f 6e 20 66 75 6e |manipula|tion fun|
|00006010| 63 74 69 6f 6e 73 20 54 | 61 62 6c 65 20 45 2d 31 |ctions T|able E-1|
|00006020| 33 09 45 78 70 6f 6e 65 | 6e 74 69 61 6c 20 66 75 |3.Expone|ntial fu|
|00006030| 6e 63 74 69 6f 6e 73 20 | 54 61 62 6c 65 20 45 2d |nctions |Table E-|
|00006040| 31 34 09 4c 6f 67 61 72 | 69 74 68 6d 69 63 20 66 |14.Logar|ithmic f|
|00006050| 75 6e 63 74 69 6f 6e 73 | 22 54 61 62 6c 65 20 45 |unctions|"Table E|
|00006060| 2d 31 35 09 54 72 69 67 | 6f 6e 6f 6d 65 74 72 69 |-15.Trig|onometri|
|00006070| 63 20 66 75 6e 63 74 69 | 6f 6e 73 1f 54 61 62 6c |c functi|ons.Tabl|
|00006080| 65 20 45 2d 31 36 09 48 | 79 70 65 72 62 6f 6c 69 |e E-16.H|yperboli|
|00006090| 63 20 66 75 6e 63 74 69 | 6f 6e 73 1e 54 61 62 6c |c functi|ons.Tabl|
|000060a0| 65 20 45 2d 31 37 09 46 | 69 6e 61 6e 63 69 61 6c |e E-17.F|inancial|
|000060b0| 20 66 75 6e 63 74 69 6f | 6e 73 24 54 61 62 6c 65 | functio|ns$Table|
|000060c0| 20 45 2d 31 38 09 45 72 | 72 6f 72 20 61 6e 64 20 | E-18.Er|ror and |
|000060d0| 67 61 6d 6d 61 20 66 75 | 6e 63 74 69 6f 6e 73 22 |gamma fu|nctions"|
|000060e0| 54 61 62 6c 65 20 45 2d | 31 39 09 4d 69 73 63 65 |Table E-|19.Misce|
|000060f0| 6c 6c 61 6e 65 6f 75 73 | 20 66 75 6e 63 74 69 6f |llaneous| functio|
|00006100| 6e 73 2d 0d 50 6f 77 65 | 72 50 43 20 41 73 73 65 |ns-.Powe|rPC Asse|
|00006110| 6d 62 6c 79 2d 4c 61 6e | 67 75 61 67 65 20 4e 75 |mbly-Lan|guage Nu|
|00006120| 6d 65 72 69 63 73 20 52 | 65 66 65 72 65 6e 63 65 |merics R|eference|
|00006130| 1b 46 6c 6f 61 74 69 6e | 67 2d 50 6f 69 6e 74 20 |.Floatin|g-Point |
|00006140| 44 61 74 61 20 46 6f 72 | 6d 61 74 73 26 46 69 67 |Data For|mats&Fig|
|00006150| 75 72 65 20 46 2d 31 09 | 46 6c 6f 61 74 69 6e 67 |ure F-1.|Floating|
|00006160| 2d 70 6f 69 6e 74 20 64 | 61 74 61 20 66 6f 72 6d |-point d|ata form|
|00006170| 61 74 73 2c 54 61 62 6c | 65 20 46 2d 31 09 49 6e |ats,Tabl|e F-1.In|
|00006180| 74 65 72 70 72 65 74 69 | 6e 67 20 66 6c 6f 61 74 |terpreti|ng float|
|00006190| 69 6e 67 2d 70 6f 69 6e | 74 20 76 61 6c 75 65 73 |ing-poin|t values|
|000061a0| 2b 0d 46 6c 6f 61 74 69 | 6e 67 2d 50 6f 69 6e 74 |+.Floati|ng-Point|
|000061b0| 20 53 74 61 74 75 73 20 | 61 6e 64 20 43 6f 6e 74 | Status |and Cont|
|000061c0| 72 6f 6c 20 52 65 67 69 | 73 74 65 72 2a 54 61 62 |rol Regi|ster*Tab|
|000061d0| 6c 65 20 46 2d 32 09 42 | 69 74 20 61 73 73 69 67 |le F-2.B|it assig|
|000061e0| 6e 6d 65 6e 74 73 20 66 | 6f 72 20 46 50 53 43 52 |nments f|or FPSCR|
|000061f0| 20 66 69 65 6c 64 73 2e | 54 61 62 6c 65 20 46 2d | fields.|Table F-|
|00006200| 33 09 52 6f 75 6e 64 69 | 6e 67 20 64 69 72 65 63 |3.Roundi|ng direc|
|00006210| 74 69 6f 6e 20 62 69 74 | 73 20 69 6e 20 74 68 65 |tion bit|s in the|
|00006220| 20 46 50 53 43 52 32 54 | 61 62 6c 65 20 46 2d 34 | FPSCR2T|able F-4|
|00006230| 09 43 6c 61 73 73 20 61 | 6e 64 20 73 69 67 6e 20 |.Class a|nd sign |
|00006240| 69 6e 71 75 69 72 79 20 | 62 69 74 73 20 69 6e 20 |inquiry |bits in |
|00006250| 74 68 65 20 46 50 53 43 | 52 0d 0d 49 6e 73 74 72 |the FPSC|R..Instr|
|00006260| 75 63 74 69 6f 6e 73 1c | 54 61 62 6c 65 20 46 2d |uctions.|Table F-|
|00006270| 35 09 46 50 53 43 52 20 | 69 6e 73 74 72 75 63 74 |5.FPSCR |instruct|
|00006280| 69 6f 6e 73 1b 54 61 62 | 6c 65 20 46 2d 36 09 4c |ions.Tab|le F-6.L|
|00006290| 6f 61 64 20 69 6e 73 74 | 72 75 63 74 69 6f 6e 73 |oad inst|ructions|
|000062a0| 1c 54 61 62 6c 65 20 46 | 2d 37 09 53 74 6f 72 65 |.Table F|-7.Store|
|000062b0| 20 69 6e 73 74 72 75 63 | 74 69 6f 6e 73 27 54 61 | instruc|tions'Ta|
|000062c0| 62 6c 65 20 46 2d 38 09 | 43 6f 6e 76 65 72 73 69 |ble F-8.|Conversi|
|000062d0| 6f 6e 73 20 74 6f 20 69 | 6e 74 65 67 65 72 20 66 |ons to i|nteger f|
|000062e0| 6f 72 6d 61 74 32 54 61 | 62 6c 65 20 46 2d 39 09 |ormat2Ta|ble F-9.|
|000062f0| 43 6f 6e 76 65 72 73 69 | 6f 6e 73 20 66 72 6f 6d |Conversi|ons from|
|00006300| 20 64 6f 75 62 6c 65 20 | 74 6f 20 73 69 6e 67 6c | double |to singl|
|00006310| 65 20 66 6f 72 6d 61 74 | 22 54 61 62 6c 65 20 46 |e format|"Table F|
|00006320| 2d 31 30 09 43 6f 6d 70 | 61 72 69 73 6f 6e 20 69 |-10.Comp|arison i|
|00006330| 6e 73 74 72 75 63 74 69 | 6f 6e 73 22 54 61 62 6c |nstructi|ons"Tabl|
|00006340| 65 20 46 2d 31 31 09 41 | 72 69 74 68 6d 65 74 69 |e F-11.A|rithmeti|
|00006350| 63 20 69 6e 73 74 72 75 | 63 74 69 6f 6e 73 24 54 |c instru|ctions$T|
|00006360| 61 62 6c 65 20 46 2d 31 | 32 09 4d 75 6c 74 69 70 |able F-1|2.Multip|
|00006370| 6c 79 2d 61 64 64 20 69 | 6e 73 74 72 75 63 74 69 |ly-add i|nstructi|
|00006380| 6f 6e 73 1c 54 61 62 6c | 65 20 46 2d 31 33 09 4d |ons.Tabl|e F-13.M|
|00006390| 6f 76 65 20 69 6e 73 74 | 72 75 63 74 69 6f 6e 73 |ove inst|ructions|
|000063a0| 09 0d 47 6c 6f 73 73 61 | 72 79 0d 0d 42 69 62 6c |..Glossa|ry..Bibl|
|000063b0| 69 6f 67 72 61 70 68 79 | 06 0d 49 6e 64 65 78 00 |iography|..Index.|
|000063c0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000063d0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000063e0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000063f0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
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