Mercurial > sdl-ios-xcode
annotate src/libm/k_cos.c @ 3168:6338b7f2d024
Hi,
I have prepared a set of patches to readd WindowsCE support to SDL 1.3.
I've created a new GAPI/Rawframebuffer and a DirectDraw renderer.
Both renderers are work in progress and there are several unimplemented
cases. (Notably
RenderLine/RenderPoint/RenderFill/QueryTexturePixels/UpdateTexture and
texture blending )
Nevertheless I am successfully using these renderers together with the
SDL software renderer. (On most devices the SDL software renderer will
be much faster as there are only badly optimized vendor drivers available)
I send these patches now in this unpolished state because there seems to
be some interest in win ce and someone has to start supporting SDL 1.3
Now on to the patches:
wince_events_window_fixes.patch
fixes some wince incompatibilities and adds fullscreen support via
SHFullScreen. NOTE: This patch shouldn't have any side effects on
Windows, but I have NOT tested it on Windows, so please double-check.
This patch doesn't dependent on the following ones.
wince_renderers_system.patch
This patch does all necessary modifications to the SDL system.
- it adds the renderers to the configure system
- it adds the renderers to win32video
SDL_ceddrawrender.c
SDL_ceddrawrender.h
SDL_gapirender_c.h
SDL_gapirender.c
SDL_gapirender.h
these files add the new render drivers and should be placed in
src/video/win32
Some notes to people who want to test this:
- I have only compiled sdl with ming32ce, so the VisualC files are not
up to date
- As mingw32ce has no ddraw.h this file must be taken from the MS SDK
and modified to work with gcc
- I had to modify line 2611 in configure.in to
EXTRA_LDFLAGS="$EXTRA_LDFLAGS -lcoredll -lcommctrl -lmmtimer
-Wl,--image-base -Wl,0x10000"
otherwise GetCPinfo wouldn't link. If someone knows whats causing this
I'd be happy to hear about it.
It would be great if these patches could make their way into SVN as this
would make collaboration much much easier.
I'm out of office for the next week and therefore will be unavailable
via email.
Regards
Stefan
author | Sam Lantinga <slouken@libsdl.org> |
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date | Sun, 07 Jun 2009 02:44:46 +0000 |
parents | dc1eb82ffdaa |
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1 /* @(#)k_cos.c 5.1 93/09/24 */ |
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2 /* |
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3 * ==================================================== |
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4 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
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5 * |
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6 * Developed at SunPro, a Sun Microsystems, Inc. business. |
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7 * Permission to use, copy, modify, and distribute this |
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8 * software is freely granted, provided that this notice |
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9 * is preserved. |
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10 * ==================================================== |
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11 */ |
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12 |
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13 #if defined(LIBM_SCCS) && !defined(lint) |
3162 | 14 static const char rcsid[] = |
15 "$NetBSD: k_cos.c,v 1.8 1995/05/10 20:46:22 jtc Exp $"; | |
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16 #endif |
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17 |
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18 /* |
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19 * __kernel_cos( x, y ) |
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20 * kernel cos function on [-pi/4, pi/4], pi/4 ~ 0.785398164 |
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21 * Input x is assumed to be bounded by ~pi/4 in magnitude. |
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22 * Input y is the tail of x. |
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23 * |
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24 * Algorithm |
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25 * 1. Since cos(-x) = cos(x), we need only to consider positive x. |
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26 * 2. if x < 2^-27 (hx<0x3e400000 0), return 1 with inexact if x!=0. |
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27 * 3. cos(x) is approximated by a polynomial of degree 14 on |
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28 * [0,pi/4] |
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29 * 4 14 |
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30 * cos(x) ~ 1 - x*x/2 + C1*x + ... + C6*x |
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31 * where the remez error is |
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32 * |
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33 * | 2 4 6 8 10 12 14 | -58 |
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34 * |cos(x)-(1-.5*x +C1*x +C2*x +C3*x +C4*x +C5*x +C6*x )| <= 2 |
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35 * | | |
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36 * |
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37 * 4 6 8 10 12 14 |
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38 * 4. let r = C1*x +C2*x +C3*x +C4*x +C5*x +C6*x , then |
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39 * cos(x) = 1 - x*x/2 + r |
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40 * since cos(x+y) ~ cos(x) - sin(x)*y |
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41 * ~ cos(x) - x*y, |
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42 * a correction term is necessary in cos(x) and hence |
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43 * cos(x+y) = 1 - (x*x/2 - (r - x*y)) |
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44 * For better accuracy when x > 0.3, let qx = |x|/4 with |
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45 * the last 32 bits mask off, and if x > 0.78125, let qx = 0.28125. |
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46 * Then |
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47 * cos(x+y) = (1-qx) - ((x*x/2-qx) - (r-x*y)). |
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48 * Note that 1-qx and (x*x/2-qx) is EXACT here, and the |
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49 * magnitude of the latter is at least a quarter of x*x/2, |
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50 * thus, reducing the rounding error in the subtraction. |
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51 */ |
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52 |
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53 #include "math.h" |
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54 #include "math_private.h" |
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55 |
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56 #ifdef __STDC__ |
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57 static const double |
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58 #else |
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59 static double |
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60 #endif |
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61 one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ |
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62 C1 = 4.16666666666666019037e-02, /* 0x3FA55555, 0x5555554C */ |
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63 C2 = -1.38888888888741095749e-03, /* 0xBF56C16C, 0x16C15177 */ |
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64 C3 = 2.48015872894767294178e-05, /* 0x3EFA01A0, 0x19CB1590 */ |
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65 C4 = -2.75573143513906633035e-07, /* 0xBE927E4F, 0x809C52AD */ |
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66 C5 = 2.08757232129817482790e-09, /* 0x3E21EE9E, 0xBDB4B1C4 */ |
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67 C6 = -1.13596475577881948265e-11; /* 0xBDA8FAE9, 0xBE8838D4 */ |
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68 |
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69 #ifdef __STDC__ |
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70 double attribute_hidden |
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71 __kernel_cos(double x, double y) |
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72 #else |
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73 double attribute_hidden |
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74 __kernel_cos(x, y) |
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75 double x, y; |
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76 #endif |
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77 { |
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78 double a, hz, z, r, qx; |
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79 int32_t ix; |
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80 GET_HIGH_WORD(ix, x); |
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81 ix &= 0x7fffffff; /* ix = |x|'s high word */ |
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82 if (ix < 0x3e400000) { /* if x < 2**27 */ |
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83 if (((int) x) == 0) |
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84 return one; /* generate inexact */ |
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85 } |
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86 z = x * x; |
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87 r = z * (C1 + z * (C2 + z * (C3 + z * (C4 + z * (C5 + z * C6))))); |
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88 if (ix < 0x3FD33333) /* if |x| < 0.3 */ |
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89 return one - (0.5 * z - (z * r - x * y)); |
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90 else { |
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91 if (ix > 0x3fe90000) { /* x > 0.78125 */ |
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92 qx = 0.28125; |
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93 } else { |
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94 INSERT_WORDS(qx, ix - 0x00200000, 0); /* x/4 */ |
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95 } |
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96 hz = 0.5 * z - qx; |
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97 a = one - qx; |
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98 return a - (hz - (z * r - x * y)); |
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99 } |
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100 } |