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annotate src/libm/e_rem_pio2.c @ 4447:947201caa46e

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Added automated test to Xcode project plus needed changes to SDL_RWFromFile to be OS X bundle aware. The Mac OS X project has a new target called testsdl which builds the automated test. I looked at using Xcode's native unit test support, but the impedance mismatch between the existing automated test structure and Apple's was more than I could handle. As such, the testsdl application is a full blown proper OS X application, which means it is a self-contained .app bundle. This immediately revealed some problems from the automated test. The largest problem was the assumption about the current working directory and where to find resources. (I suspect Windows may have a similar problem depending on circumstance.) To open resources, the test was looking in directories relative to the SDL source directory, but this will not work well with self-contained .app bundles and Xcode which can place its built applications almost anywhere. And for real-world situations, this is pretty useless anyway. So I modified SDL_RWFromFile to do special things on OS X. First, it will look for a file in the .app bundle. If not found, it will fallback and just call fopen as it used to do. I also had to modify the automated test itself because it had a contrieved test which called fopen directly to do read from an existing FILE pointer. In addition, there was a write test. Since a .app bundle is likely going to be read-only, I added a special case for OS X to write to NSTemporaryDirectory. I expect these changes should work for both Mac and iPhone OS (which includes iPad). I will update the iPhone Xcode project next. Finally, FYI, the X11 automated test seems to be failing. Below is my output. Pending breakpoint 4 - "-[NSException raise]" resolved Platform : All tests successful (2) SDL_RWops : All tests successful (5) Rect : All tests successful (1) SDL_Surface : All tests successful (6) Rendering with cocoa driver : All tests successful (3) Assert Failed! Blit output not the same. Test Case 'Renderer x11' Test Suite 'Rendering with x11 driver' Last SDL error '' Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSGetSurfaceBounds Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorFailure: Set a breakpoint @ CGErrorBreakpoint() to catch errors as they are logged. Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSBindSurface: Invalid window 0xa150 Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSBindSurface: Invalid window 0xa150 Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSBindSurface: Invalid window 0xa150 Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSGetWindowBounds Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSGetSurfaceBounds Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSBindSurface: Invalid window 0xa150 Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSBindSurface: Invalid window 0xa150 Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSBindSurface: Invalid window 0xa150 Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSGetWindowBounds Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSGetSurfaceBounds Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSBindSurface: Invalid window 0xa150 Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSBindSurface: Invalid window 0xa150 Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSBindSurface: Invalid window 0xa150 Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSGetWindowBounds Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSGetSurfaceBounds Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSBindSurface: Invalid window 0xa150 Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSBindSurface: Invalid window 0xa150 Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSBindSurface: Invalid window 0xa150 Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSGetWindowBounds Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSGetSurfaceBounds Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSBindSurface: Invalid window 0xa150 Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSBindSurface: Invalid window 0xa150 Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSBindSurface: Invalid window 0xa150 Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSGetWindowBounds Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSGetSurfaceBounds Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSBindSurface: Invalid window 0xa150 Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSBindSurface: Invalid window 0xa150 Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSBindSurface: Invalid window 0xa150 Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSGetWindowBounds Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSGetSurfaceBounds Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSBindSurface: Invalid window 0xa150 Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSBindSurface: Invalid window 0xa150 Sat May 8 00:30:34 iMacAL.local testsdl[71586] <Error>: kCGErrorIllegalArgument: CGSBindSurface: Invalid window 0xa150 Rendering with x11 driver : Failed 1 out of 4 testcases! Rendering with dummy driver : All tests successful (3) SDL_Audio : All tests successful (1) Tests run with SDL 1.3.0 revision 1095906 System is running Mac OS X and is little endian
author Eric Wing <ewing . public |-at-| gmail . com>
date Sat, 08 May 2010 00:54:22 -0700
parents dc1eb82ffdaa
children
rev   line source
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a98604b691c8 Expanded the libm support and put it into a separate directory.
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1 /* @(#)e_rem_pio2.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)
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14 static const char rcsid[] =
2756
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15 "$NetBSD: e_rem_pio2.c,v 1.8 1995/05/10 20:46:02 jtc Exp $";
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16 #endif
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17
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18 /* __ieee754_rem_pio2(x,y)
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19 *
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20 * return the remainder of x rem pi/2 in y[0]+y[1]
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21 * use __kernel_rem_pio2()
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22 */
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23
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24 #include "math.h"
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25 #include "math_private.h"
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26
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27 libm_hidden_proto(fabs)
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28
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29 /*
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30 * Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi
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31 */
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32 #ifdef __STDC__
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33 static const int32_t two_over_pi[] = {
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34 #else
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35 static int32_t two_over_pi[] = {
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36 #endif
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37 0xA2F983, 0x6E4E44, 0x1529FC, 0x2757D1, 0xF534DD, 0xC0DB62,
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38 0x95993C, 0x439041, 0xFE5163, 0xABDEBB, 0xC561B7, 0x246E3A,
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39 0x424DD2, 0xE00649, 0x2EEA09, 0xD1921C, 0xFE1DEB, 0x1CB129,
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40 0xA73EE8, 0x8235F5, 0x2EBB44, 0x84E99C, 0x7026B4, 0x5F7E41,
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41 0x3991D6, 0x398353, 0x39F49C, 0x845F8B, 0xBDF928, 0x3B1FF8,
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42 0x97FFDE, 0x05980F, 0xEF2F11, 0x8B5A0A, 0x6D1F6D, 0x367ECF,
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43 0x27CB09, 0xB74F46, 0x3F669E, 0x5FEA2D, 0x7527BA, 0xC7EBE5,
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44 0xF17B3D, 0x0739F7, 0x8A5292, 0xEA6BFB, 0x5FB11F, 0x8D5D08,
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45 0x560330, 0x46FC7B, 0x6BABF0, 0xCFBC20, 0x9AF436, 0x1DA9E3,
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46 0x91615E, 0xE61B08, 0x659985, 0x5F14A0, 0x68408D, 0xFFD880,
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47 0x4D7327, 0x310606, 0x1556CA, 0x73A8C9, 0x60E27B, 0xC08C6B,
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48 };
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49
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50 #ifdef __STDC__
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51 static const int32_t npio2_hw[] = {
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52 #else
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53 static int32_t npio2_hw[] = {
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54 #endif
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55 0x3FF921FB, 0x400921FB, 0x4012D97C, 0x401921FB, 0x401F6A7A, 0x4022D97C,
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56 0x4025FDBB, 0x402921FB, 0x402C463A, 0x402F6A7A, 0x4031475C, 0x4032D97C,
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57 0x40346B9C, 0x4035FDBB, 0x40378FDB, 0x403921FB, 0x403AB41B, 0x403C463A,
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58 0x403DD85A, 0x403F6A7A, 0x40407E4C, 0x4041475C, 0x4042106C, 0x4042D97C,
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59 0x4043A28C, 0x40446B9C, 0x404534AC, 0x4045FDBB, 0x4046C6CB, 0x40478FDB,
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60 0x404858EB, 0x404921FB,
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61 };
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62
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63 /*
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64 * invpio2: 53 bits of 2/pi
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65 * pio2_1: first 33 bit of pi/2
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66 * pio2_1t: pi/2 - pio2_1
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67 * pio2_2: second 33 bit of pi/2
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68 * pio2_2t: pi/2 - (pio2_1+pio2_2)
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69 * pio2_3: third 33 bit of pi/2
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70 * pio2_3t: pi/2 - (pio2_1+pio2_2+pio2_3)
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71 */
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72
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73 #ifdef __STDC__
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74 static const double
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75 #else
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76 static double
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77 #endif
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78 zero = 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
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79 half = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */
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80 two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */
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81 invpio2 = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */
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82 pio2_1 = 1.57079632673412561417e+00, /* 0x3FF921FB, 0x54400000 */
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83 pio2_1t = 6.07710050650619224932e-11, /* 0x3DD0B461, 0x1A626331 */
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84 pio2_2 = 6.07710050630396597660e-11, /* 0x3DD0B461, 0x1A600000 */
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85 pio2_2t = 2.02226624879595063154e-21, /* 0x3BA3198A, 0x2E037073 */
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86 pio2_3 = 2.02226624871116645580e-21, /* 0x3BA3198A, 0x2E000000 */
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87 pio2_3t = 8.47842766036889956997e-32; /* 0x397B839A, 0x252049C1 */
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88
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89 #ifdef __STDC__
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90 int32_t attribute_hidden
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91 __ieee754_rem_pio2(double x, double *y)
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92 #else
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parents:
diff changeset
93 int32_t attribute_hidden
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diff changeset
94 __ieee754_rem_pio2(x, y)
a98604b691c8 Expanded the libm support and put it into a separate directory.
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parents:
diff changeset
95 double x, y[];
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parents:
diff changeset
96 #endif
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diff changeset
97 {
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diff changeset
98 double z = 0.0, w, t, r, fn;
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diff changeset
99 double tx[3];
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diff changeset
100 int32_t e0, i, j, nx, n, ix, hx;
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101 u_int32_t low;
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diff changeset
102
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103 GET_HIGH_WORD(hx, x); /* high word of x */
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104 ix = hx & 0x7fffffff;
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diff changeset
105 if (ix <= 0x3fe921fb) { /* |x| ~<= pi/4 , no need for reduction */
a98604b691c8 Expanded the libm support and put it into a separate directory.
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parents:
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106 y[0] = x;
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diff changeset
107 y[1] = 0;
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diff changeset
108 return 0;
a98604b691c8 Expanded the libm support and put it into a separate directory.
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parents:
diff changeset
109 }
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parents:
diff changeset
110 if (ix < 0x4002d97c) { /* |x| < 3pi/4, special case with n=+-1 */
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parents:
diff changeset
111 if (hx > 0) {
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112 z = x - pio2_1;
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diff changeset
113 if (ix != 0x3ff921fb) { /* 33+53 bit pi is good enough */
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parents:
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114 y[0] = z - pio2_1t;
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115 y[1] = (z - y[0]) - pio2_1t;
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parents:
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116 } else { /* near pi/2, use 33+33+53 bit pi */
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117 z -= pio2_2;
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118 y[0] = z - pio2_2t;
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119 y[1] = (z - y[0]) - pio2_2t;
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120 }
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121 return 1;
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122 } else { /* negative x */
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123 z = x + pio2_1;
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124 if (ix != 0x3ff921fb) { /* 33+53 bit pi is good enough */
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125 y[0] = z + pio2_1t;
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126 y[1] = (z - y[0]) + pio2_1t;
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127 } else { /* near pi/2, use 33+33+53 bit pi */
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128 z += pio2_2;
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129 y[0] = z + pio2_2t;
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130 y[1] = (z - y[0]) + pio2_2t;
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131 }
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132 return -1;
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133 }
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134 }
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135 if (ix <= 0x413921fb) { /* |x| ~<= 2^19*(pi/2), medium size */
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136 t = fabs(x);
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137 n = (int32_t) (t * invpio2 + half);
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138 fn = (double) n;
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139 r = t - fn * pio2_1;
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140 w = fn * pio2_1t; /* 1st round good to 85 bit */
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141 if (n < 32 && ix != npio2_hw[n - 1]) {
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142 y[0] = r - w; /* quick check no cancellation */
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143 } else {
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144 u_int32_t high;
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145 j = ix >> 20;
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146 y[0] = r - w;
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147 GET_HIGH_WORD(high, y[0]);
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148 i = j - ((high >> 20) & 0x7ff);
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149 if (i > 16) { /* 2nd iteration needed, good to 118 */
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150 t = r;
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151 w = fn * pio2_2;
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152 r = t - w;
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153 w = fn * pio2_2t - ((t - r) - w);
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154 y[0] = r - w;
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155 GET_HIGH_WORD(high, y[0]);
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156 i = j - ((high >> 20) & 0x7ff);
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diff changeset
157 if (i > 49) { /* 3rd iteration need, 151 bits acc */
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158 t = r; /* will cover all possible cases */
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159 w = fn * pio2_3;
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160 r = t - w;
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161 w = fn * pio2_3t - ((t - r) - w);
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diff changeset
162 y[0] = r - w;
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diff changeset
163 }
a98604b691c8 Expanded the libm support and put it into a separate directory.
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diff changeset
164 }
a98604b691c8 Expanded the libm support and put it into a separate directory.
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diff changeset
165 }
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diff changeset
166 y[1] = (r - y[0]) - w;
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diff changeset
167 if (hx < 0) {
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diff changeset
168 y[0] = -y[0];
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diff changeset
169 y[1] = -y[1];
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diff changeset
170 return -n;
a98604b691c8 Expanded the libm support and put it into a separate directory.
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parents:
diff changeset
171 } else
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172 return n;
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parents:
diff changeset
173 }
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Sam Lantinga <slouken@libsdl.org>
parents:
diff changeset
174 /*
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Sam Lantinga <slouken@libsdl.org>
parents:
diff changeset
175 * all other (large) arguments
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diff changeset
176 */
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diff changeset
177 if (ix >= 0x7ff00000) { /* x is inf or NaN */
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parents:
diff changeset
178 y[0] = y[1] = x - x;
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diff changeset
179 return 0;
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parents:
diff changeset
180 }
a98604b691c8 Expanded the libm support and put it into a separate directory.
Sam Lantinga <slouken@libsdl.org>
parents:
diff changeset
181 /* set z = scalbn(|x|,ilogb(x)-23) */
a98604b691c8 Expanded the libm support and put it into a separate directory.
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parents:
diff changeset
182 GET_LOW_WORD(low, x);
a98604b691c8 Expanded the libm support and put it into a separate directory.
Sam Lantinga <slouken@libsdl.org>
parents:
diff changeset
183 SET_LOW_WORD(z, low);
a98604b691c8 Expanded the libm support and put it into a separate directory.
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parents:
diff changeset
184 e0 = (ix >> 20) - 1046; /* e0 = ilogb(z)-23; */
a98604b691c8 Expanded the libm support and put it into a separate directory.
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parents:
diff changeset
185 SET_HIGH_WORD(z, ix - ((int32_t) (e0 << 20)));
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parents:
diff changeset
186 for (i = 0; i < 2; i++) {
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parents:
diff changeset
187 tx[i] = (double) ((int32_t) (z));
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parents:
diff changeset
188 z = (z - tx[i]) * two24;
a98604b691c8 Expanded the libm support and put it into a separate directory.
Sam Lantinga <slouken@libsdl.org>
parents:
diff changeset
189 }
a98604b691c8 Expanded the libm support and put it into a separate directory.
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parents:
diff changeset
190 tx[2] = z;
a98604b691c8 Expanded the libm support and put it into a separate directory.
Sam Lantinga <slouken@libsdl.org>
parents:
diff changeset
191 nx = 3;
a98604b691c8 Expanded the libm support and put it into a separate directory.
Sam Lantinga <slouken@libsdl.org>
parents:
diff changeset
192 while (tx[nx - 1] == zero)
a98604b691c8 Expanded the libm support and put it into a separate directory.
Sam Lantinga <slouken@libsdl.org>
parents:
diff changeset
193 nx--; /* skip zero term */
a98604b691c8 Expanded the libm support and put it into a separate directory.
Sam Lantinga <slouken@libsdl.org>
parents:
diff changeset
194 n = __kernel_rem_pio2(tx, y, e0, nx, 2, two_over_pi);
a98604b691c8 Expanded the libm support and put it into a separate directory.
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parents:
diff changeset
195 if (hx < 0) {
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parents:
diff changeset
196 y[0] = -y[0];
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parents:
diff changeset
197 y[1] = -y[1];
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parents:
diff changeset
198 return -n;
a98604b691c8 Expanded the libm support and put it into a separate directory.
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parents:
diff changeset
199 }
a98604b691c8 Expanded the libm support and put it into a separate directory.
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parents:
diff changeset
200 return n;
a98604b691c8 Expanded the libm support and put it into a separate directory.
Sam Lantinga <slouken@libsdl.org>
parents:
diff changeset
201 }