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|00000000| 00 07 66 69 78 69 74 2e | 63 00 00 00 00 00 00 00 |..fixit.|c.......|
|00000010| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000020| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000030| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
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|00000070| 00 00 00 00 00 00 00 00 | 00 00 81 81 5c 03 00 00 |........|....\...|
|00000080| 2f 2a 20 46 69 6c 65 20 | 66 69 78 69 74 2e 63 20 |/* File |fixit.c |
|00000090| 43 6f 70 79 72 69 67 68 | 74 20 28 43 29 20 31 39 |Copyrigh|t (C) 19|
|000000a0| 39 36 20 62 79 20 4a 6f | 68 6e 20 52 2e 20 4d 6f |96 by Jo|hn R. Mo|
|000000b0| 6e 74 62 72 69 61 6e 64 | 2e 20 20 41 6c 6c 20 52 |ntbriand|.  All R|
|000000c0| 69 67 68 74 73 20 52 65 | 73 65 72 76 65 64 2e 20 |ights Re|served. |
|000000d0| 2a 2f 0d 0d 23 69 6e 63 | 6c 75 64 65 20 22 66 69 |*/..#inc|lude "fi|
|000000e0| 78 69 74 2e 68 22 0d 23 | 69 6e 63 6c 75 64 65 20 |xit.h".#|include |
|000000f0| 3c 54 6f 6f 6c 55 74 69 | 6c 73 2e 68 3e 0d 0d 2f |<ToolUti|ls.h>../|
|00000100| 2a 20 46 69 6c 65 20 66 | 69 78 69 74 2e 63 0d 09 |* File f|ixit.c..|
|00000110| 73 6f 6d 65 20 65 78 74 | 72 61 20 66 69 78 65 64 |some ext|ra fixed|
|00000120| 20 6d 61 74 68 20 72 6f | 75 74 69 6e 65 73 2e 0d | math ro|utines..|
|00000130| 09 43 6f 70 79 72 69 67 | 68 74 20 28 63 29 20 31 |.Copyrig|ht (c) 1|
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|00000170| 65 72 6d 69 73 73 69 6f | 6e 20 67 72 61 6e 74 65 |ermissio|n grante|
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|000001e0| 4e 20 52 49 53 4b 2e 0d | 09 44 4f 20 4e 4f 54 20 |N RISK..|.DO NOT |
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|000002c0| 0d 09 49 66 20 79 6f 75 | 20 77 6f 75 6c 64 20 6c |..If you| would l|
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|000003e0| 20 66 65 77 65 72 20 76 | 61 72 69 61 62 6c 65 73 | fewer v|ariables|
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|00000430| 20 74 68 65 20 46 69 78 | 65 64 53 71 72 74 20 66 | the Fix|edSqrt f|
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|00000470| 20 0d 09 09 09 66 61 62 | 73 28 46 69 78 32 58 28 | ....fab|s(Fix2X(|
|00000480| 46 69 78 65 64 53 71 72 | 74 28 69 29 29 20 2d 20 |FixedSqr|t(i)) - |
|00000490| 73 71 72 74 28 46 69 78 | 32 58 28 69 29 29 29 20 |sqrt(Fix|2X(i))) |
|000004a0| 3c 3d 20 30 2e 30 30 30 | 30 31 31 2e 20 2a 2f 0d |<= 0.000|011. */.|
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|000004d0| 64 20 58 6e 2c 20 6c 61 | 73 74 58 6e 3b 0d 09 75 |d Xn, la|stXn;..u|
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|00000510| 3d 3d 20 30 29 20 72 65 | 74 75 72 6e 20 30 3b 20 |== 0) re|turn 0; |
|00000520| 2f 2a 20 7a 65 72 6f 20 | 63 61 73 65 20 2a 2f 0d |/* zero |case */.|
|00000530| 09 69 66 20 28 78 20 3c | 20 30 20 7c 7c 20 78 20 |.if (x <| 0 || x |
|00000540| 3e 3d 20 30 78 37 46 46 | 46 30 30 30 30 29 20 72 |>= 0x7FF|F0000) r|
|00000550| 65 74 75 72 6e 20 30 78 | 38 30 30 30 30 30 30 30 |eturn 0x|80000000|
|00000560| 3b 20 2f 2a 20 72 61 6e | 67 65 20 2a 2f 0d 09 09 |; /* ran|ge */...|
|00000570| 2f 2a 20 69 74 65 72 61 | 74 65 20 2a 2f 0d 09 66 |/* itera|te */..f|
|00000580| 6f 72 20 28 58 6e 20 3d | 20 6c 61 73 74 58 6e 20 |or (Xn =| lastXn |
|00000590| 3d 20 78 2c 20 69 20 3d | 20 30 3b 20 69 20 3c 20 |= x, i =| 0; i < |
|000005a0| 31 36 3b 20 69 2b 2b 29 | 20 7b 0d 09 09 58 6e 20 |16; i++)| {...Xn |
|000005b0| 3d 20 46 69 78 44 69 76 | 28 58 6e 20 2b 20 46 69 |= FixDiv|(Xn + Fi|
|000005c0| 78 44 69 76 28 78 2c 20 | 58 6e 29 2c 20 30 78 30 |xDiv(x, |Xn), 0x0|
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|000005f0| 74 75 72 6e 20 58 6e 3b | 20 65 6c 73 65 20 6c 61 |turn Xn;| else la|
|00000600| 73 74 58 6e 20 3d 20 58 | 6e 3b 0d 09 7d 0d 09 09 |stXn = X|n;..}...|
|00000610| 2f 2a 20 64 6f 6e 65 20 | 2a 2f 0d 09 72 65 74 75 |/* done |*/..retu|
|00000620| 72 6e 20 58 6e 3b 0d 7d | 0d 0d 0d 2f 2a 20 61 6e |rn Xn;.}|.../* an|
|00000630| 79 62 6f 64 79 20 68 61 | 76 65 20 61 6e 79 20 69 |ybody ha|ve any i|
|00000640| 64 65 61 73 20 61 62 6f | 75 74 20 68 6f 77 20 74 |deas abo|ut how t|
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|00000670| 61 74 20 74 6f 20 68 65 | 61 72 20 66 72 6f 6d 20 |at to he|ar from |
|00000680| 79 6f 75 2e 20 2a 2f 0d | 46 69 78 65 64 20 46 69 |you. */.|Fixed Fi|
|00000690| 78 45 78 70 28 46 69 78 | 65 64 20 78 2c 20 46 69 |xExp(Fix|ed x, Fi|
|000006a0| 78 65 64 20 61 29 20 7b | 0d 09 46 69 78 65 64 20 |xed a) {|..Fixed |
|000006b0| 79 2c 20 78 78 2c 20 72 | 6f 6f 74 20 3d 20 78 2c |y, xx, r|oot = x,|
|000006c0| 20 6d 61 73 6b 20 3d 20 | 30 78 30 30 30 30 38 30 | mask = |0x000080|
|000006d0| 30 30 3b 0d 09 0d 09 09 | 2f 2a 20 72 65 6f 72 67 |00;.....|/* reorg|
|000006e0| 61 6e 69 7a 65 20 70 61 | 72 61 6d 65 74 65 72 73 |anize pa|rameters|
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|00000720| 09 09 61 20 3d 20 2d 20 | 61 3b 0d 09 7d 20 65 6c |..a = - |a;..} el|
|00000730| 73 65 20 78 78 20 3d 20 | 78 3b 0d 09 0d 09 09 2f |se xx = |x;...../|
|00000740| 2a 20 63 61 6c 63 75 6c | 61 74 65 20 69 6e 74 65 |* calcul|ate inte|
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|00000790| 3d 20 30 78 30 30 30 31 | 30 30 30 30 29 0d 09 09 |= 0x0001|0000)...|
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|000007b0| 29 3b 0d 09 09 0d 09 09 | 2f 2a 20 63 61 6c 63 75 |);......|/* calcu|
|000007c0| 6c 61 74 65 20 66 72 61 | 63 74 69 6f 6e 61 6c 20 |late fra|ctional |
|000007d0| 65 78 70 6f 6e 65 6e 74 | 20 70 61 72 74 20 2a 2f |exponent| part */|
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|00000810| 20 7b 0d 09 09 72 6f 6f | 74 20 3d 20 46 69 78 53 | {...roo|t = FixS|
|00000820| 71 72 74 28 72 6f 6f 74 | 29 3b 0d 09 09 69 66 20 |qrt(root|);...if |
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|00000840| 29 20 79 20 3d 20 46 69 | 78 4d 75 6c 28 79 2c 20 |) y = Fi|xMul(y, |
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|000008b0| 72 65 74 75 72 6e 20 46 | 69 78 4d 75 6c 28 78 2c |return F|ixMul(x,|
|000008c0| 20 78 29 3b 0d 7d 0d 0d | 46 69 78 65 64 20 46 69 | x);.}..|Fixed Fi|
|000008d0| 78 43 6f 73 28 46 69 78 | 65 64 20 78 29 20 7b 0d |xCos(Fix|ed x) {.|
|000008e0| 09 72 65 74 75 72 6e 20 | 46 72 61 63 32 46 69 78 |.return |Frac2Fix|
|000008f0| 28 46 72 61 63 43 6f 73 | 28 78 29 29 3b 0d 7d 0d |(FracCos|(x));.}.|
|00000900| 0d 46 69 78 65 64 20 46 | 69 78 53 69 6e 28 46 69 |.Fixed F|ixSin(Fi|
|00000910| 78 65 64 20 78 29 20 7b | 0d 09 72 65 74 75 72 6e |xed x) {|..return|
|00000920| 20 46 72 61 63 32 46 69 | 78 28 46 72 61 63 53 69 | Frac2Fi|x(FracSi|
|00000930| 6e 28 78 29 29 3b 0d 7d | 0d 0d 46 69 78 65 64 20 |n(x));.}|..Fixed |
|00000940| 46 69 78 54 61 6e 28 46 | 69 78 65 64 20 78 29 20 |FixTan(F|ixed x) |
|00000950| 7b 0d 09 72 65 74 75 72 | 6e 20 46 69 78 44 69 76 |{..retur|n FixDiv|
|00000960| 28 46 72 61 63 53 69 6e | 28 78 29 2c 20 46 72 61 |(FracSin|(x), Fra|
|00000970| 63 43 6f 73 28 78 29 29 | 3b 0d 7d 0d 0d 2f 2a 20 |cCos(x))|;.}../* |
|00000980| 65 6e 64 20 6f 66 20 66 | 69 6c 65 20 66 69 78 69 |end of f|ile fixi|
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|00000b20| 20 58 6e 20 3d 20 00 03 | 00 08 00 de 00 ba 02 f3 | Xn = ..|........|
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|00000be0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000bf0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
+--------+-------------------------+-------------------------+--------+--------+