match acos, asin, fmod, and math_ppc (#545)
This commit is contained in:
CreateSource
GitHub
parent
8d1da93f84
commit
d72f538b87
8 changed files with 621 additions and 8 deletions
5
.vscode/settings.json
vendored
5
.vscode/settings.json
vendored
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@ -55,7 +55,10 @@
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"signal.h": "c",
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"signal.h": "c",
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"gx.h": "c",
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"gx.h": "c",
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"dol2asm.h": "c",
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"dol2asm.h": "c",
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"__mem.h": "c"
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"__mem.h": "c",
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"fdlibm.h": "c",
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"float.h": "c",
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"corecrt_math_defines.h": "c"
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},
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},
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"search.useIgnoreFiles": false,
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"search.useIgnoreFiles": false,
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"search.exclude": {
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"search.exclude": {
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10
configure.py
10
configure.py
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@ -701,10 +701,10 @@ config.libs = [
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Object(NonMatching, "MSL_C.PPCEABI.bare.H/string.c"),
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Object(NonMatching, "MSL_C.PPCEABI.bare.H/string.c"),
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Object(NonMatching, "MSL_C.PPCEABI.bare.H/uart_console_io.c"),
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Object(NonMatching, "MSL_C.PPCEABI.bare.H/uart_console_io.c"),
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Object(NonMatching, "MSL_C.PPCEABI.bare.H/wchar_io.c"),
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Object(NonMatching, "MSL_C.PPCEABI.bare.H/wchar_io.c"),
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Object(NonMatching, "MSL_C.PPCEABI.bare.H/e_acos.c"),
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Object(MatchingFor("GMPE01_00", "GMPE01_01"), "MSL_C.PPCEABI.bare.H/e_acos.c"),
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Object(NonMatching, "MSL_C.PPCEABI.bare.H/e_asin.c"),
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Object(MatchingFor("GMPE01_00", "GMPE01_01"), "MSL_C.PPCEABI.bare.H/e_asin.c"),
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Object(NonMatching, "MSL_C.PPCEABI.bare.H/e_atan2.c"),
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Object(MatchingFor("GMPE01_00", "GMPE01_01"), "MSL_C.PPCEABI.bare.H/e_atan2.c"),
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Object(NonMatching, "MSL_C.PPCEABI.bare.H/e_fmod.c"),
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Object(MatchingFor("GMPE01_00", "GMPE01_01"), "MSL_C.PPCEABI.bare.H/e_fmod.c"),
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Object(NonMatching, "MSL_C.PPCEABI.bare.H/e_pow.c"),
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Object(NonMatching, "MSL_C.PPCEABI.bare.H/e_pow.c"),
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Object(NonMatching, "MSL_C.PPCEABI.bare.H/e_rem_pio2.c"),
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Object(NonMatching, "MSL_C.PPCEABI.bare.H/e_rem_pio2.c"),
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Object(NonMatching, "MSL_C.PPCEABI.bare.H/k_cos.c"),
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Object(NonMatching, "MSL_C.PPCEABI.bare.H/k_cos.c"),
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@ -725,7 +725,7 @@ config.libs = [
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Object(MatchingFor("GMPE01_00", "GMPE01_01"), "MSL_C.PPCEABI.bare.H/w_atan2.c"),
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Object(MatchingFor("GMPE01_00", "GMPE01_01"), "MSL_C.PPCEABI.bare.H/w_atan2.c"),
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Object(NonMatching, "MSL_C.PPCEABI.bare.H/w_fmod.c"),
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Object(NonMatching, "MSL_C.PPCEABI.bare.H/w_fmod.c"),
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Object(NonMatching, "MSL_C.PPCEABI.bare.H/w_pow.c"),
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Object(NonMatching, "MSL_C.PPCEABI.bare.H/w_pow.c"),
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Object(NonMatching, "MSL_C.PPCEABI.bare.H/math_ppc.c"),
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Object(MatchingFor("GMPE01_00", "GMPE01_01"), "MSL_C.PPCEABI.bare.H/math_ppc.c"),
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],
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],
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},
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},
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{
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{
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@ -126,7 +126,7 @@ extern double sqrt __P((double));
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extern double ceil __P((double));
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extern double ceil __P((double));
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extern double fabs __P((double));
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extern double fabs __P((double));
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// NOTE: I have no idea how they got it to mangle like this
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// NOTE: I have no idea how they got it to mangle like this
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extern double fabs__Fd(double);
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static inline double fabs__Fd(double v) { return __fabs(v); }
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extern double floor __P((double));
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extern double floor __P((double));
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extern double fmod __P((double, double));
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extern double fmod __P((double, double));
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69
src/MSL_C.PPCEABI.bare.H/e_acos.c
Normal file
69
src/MSL_C.PPCEABI.bare.H/e_acos.c
Normal file
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@ -0,0 +1,69 @@
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#include "PowerPC_EABI_Support/Msl/MSL_C/MSL_Common_Embedded/Math/fdlibm.h"
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#include "math.h"
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#ifdef __STDC__
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static const double
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#else
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static double
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#endif
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one= 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
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pi = 3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */
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pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */
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pio2_lo = 6.12323399573676603587e-17, /* 0x3C91A626, 0x33145C07 */
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pS0 = 1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */
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pS1 = -3.25565818622400915405e-01, /* 0xBFD4D612, 0x03EB6F7D */
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pS2 = 2.01212532134862925881e-01, /* 0x3FC9C155, 0x0E884455 */
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pS3 = -4.00555345006794114027e-02, /* 0xBFA48228, 0xB5688F3B */
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pS4 = 7.91534994289814532176e-04, /* 0x3F49EFE0, 0x7501B288 */
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pS5 = 3.47933107596021167570e-05, /* 0x3F023DE1, 0x0DFDF709 */
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qS1 = -2.40339491173441421878e+00, /* 0xC0033A27, 0x1C8A2D4B */
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qS2 = 2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */
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qS3 = -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */
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qS4 = 7.70381505559019352791e-02; /* 0x3FB3B8C5, 0xB12E9282 */
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#ifdef __STDC__
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double __ieee754_acos(double x)
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#else
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double __ieee754_acos(x)
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double x;
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#endif
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{
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double z,p,q,r,w,s,c,df;
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int hx,ix;
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hx = __HI(x);
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ix = hx&0x7fffffff;
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if(ix>=0x3ff00000) { /* |x| >= 1 */
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if(((ix-0x3ff00000)|__LO(x))==0) { /* |x|==1 */
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if(hx>0) return 0.0; /* acos(1) = 0 */
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else return pi+2.0*pio2_lo; /* acos(-1)= pi */
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}
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return NAN; /* acos(|x|>1) is NaN */
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}
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if(ix<0x3fe00000) { /* |x| < 0.5 */
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if(ix<=0x3c600000) return pio2_hi+pio2_lo;/*if|x|<2**-57*/
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z = x*x;
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p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
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q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
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r = p/q;
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return pio2_hi - (x - (pio2_lo-x*r));
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} else if (hx<0) { /* x < -0.5 */
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z = (one+x)*0.5;
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p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
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q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
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s = sqrt(z);
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r = p/q;
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w = r*s-pio2_lo;
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return pi - 2.0*(s+w);
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} else { /* x > 0.5 */
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z = (one-x)*0.5;
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s = sqrt(z);
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df = s;
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__LO(df) = 0;
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c = (z-df*df)/(s+df);
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p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
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q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
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r = p/q;
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w = r*s+c;
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return 2.0*(df+w);
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}
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}
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@ -1,3 +1,71 @@
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#include "PowerPC_EABI_Support/Msl/MSL_C/MSL_Common_Embedded/Math/fdlibm.h"
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#include "PowerPC_EABI_Support/Msl/MSL_C/MSL_Common_Embedded/Math/fdlibm.h"
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#include "math.h"
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double fabs__Fd(double v) { return __fabs(v); }
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#ifdef __STDC__
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static const double
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#else
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static double
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#endif
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one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
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huge = 1.000e+300,
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pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */
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pio2_lo = 6.12323399573676603587e-17, /* 0x3C91A626, 0x33145C07 */
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pio4_hi = 7.85398163397448278999e-01, /* 0x3FE921FB, 0x54442D18 */
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/* coefficient for R(x^2) */
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pS0 = 1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */
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pS1 = -3.25565818622400915405e-01, /* 0xBFD4D612, 0x03EB6F7D */
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pS2 = 2.01212532134862925881e-01, /* 0x3FC9C155, 0x0E884455 */
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pS3 = -4.00555345006794114027e-02, /* 0xBFA48228, 0xB5688F3B */
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pS4 = 7.91534994289814532176e-04, /* 0x3F49EFE0, 0x7501B288 */
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pS5 = 3.47933107596021167570e-05, /* 0x3F023DE1, 0x0DFDF709 */
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qS1 = -2.40339491173441421878e+00, /* 0xC0033A27, 0x1C8A2D4B */
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qS2 = 2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */
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qS3 = -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */
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qS4 = 7.70381505559019352791e-02; /* 0x3FB3B8C5, 0xB12E9282 */
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#ifdef __STDC__
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double __ieee754_asin(double x)
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#else
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double __ieee754_asin(x)
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double x;
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#endif
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{
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double t,w,p,q,c,r,s;
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int hx,ix;
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hx = __HI(x);
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ix = hx&0x7fffffff;
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if(ix>= 0x3ff00000) { /* |x|>= 1 */
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if(((ix-0x3ff00000)|__LO(x))==0)
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/* asin(1)=+-pi/2 with inexact */
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return x*pio2_hi+x*pio2_lo;
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return NAN; /* asin(|x|>1) is NaN */
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} else if (ix<0x3fe00000) { /* |x|<0.5 */
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if(ix<0x3e400000) { /* if |x| < 2**-27 */
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if(huge+x>one) return x;/* return x with inexact if x!=0*/
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} else
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t = x*x;
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p = t*(pS0+t*(pS1+t*(pS2+t*(pS3+t*(pS4+t*pS5)))));
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q = one+t*(qS1+t*(qS2+t*(qS3+t*qS4)));
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w = p/q;
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return x+x*w;
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}
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/* 1> |x|>= 0.5 */
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w = one-fabs(x);
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t = w*0.5;
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p = t*(pS0+t*(pS1+t*(pS2+t*(pS3+t*(pS4+t*pS5)))));
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q = one+t*(qS1+t*(qS2+t*(qS3+t*qS4)));
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s = sqrt(t);
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if(ix>=0x3FEF3333) { /* if |x| > 0.975 */
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w = p/q;
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t = pio2_hi-(2.0*(s+s*w)-pio2_lo);
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} else {
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w = s;
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__LO(w) = 0;
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c = (t-w*w)/(s+w);
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r = p/q;
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p = 2.0*s*r-(pio2_lo-2.0*c);
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q = pio4_hi-2.0*w;
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t = pio4_hi-(p-q);
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}
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if(hx>0) return t; else return -t;
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}
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140
src/MSL_C.PPCEABI.bare.H/e_fmod.c
Normal file
140
src/MSL_C.PPCEABI.bare.H/e_fmod.c
Normal file
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@ -0,0 +1,140 @@
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/* @(#)e_fmod.c 1.3 95/01/18 */
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/*
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* ====================================================
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* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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*
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* Developed at SunSoft, a Sun Microsystems, Inc. business.
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* Permission to use, copy, modify, and distribute this
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* software is freely granted, provided that this notice
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* is preserved.
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* ====================================================
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*/
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/*
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* __ieee754_fmod(x,y)
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* Return x mod y in exact arithmetic
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* Method: shift and subtract
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*/
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#include "PowerPC_EABI_Support/Msl/MSL_C/MSL_Common_Embedded/Math/fdlibm.h"
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#ifdef __STDC__
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static const double one = 1.0, Zero[] = {0.0, -0.0,};
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#else
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static double one = 1.0, Zero[] = {0.0, -0.0,};
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#endif
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#ifdef __STDC__
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double __ieee754_fmod(double x, double y)
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#else
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double __ieee754_fmod(x,y)
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double x,y ;
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#endif
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{
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int n,hx,hy,hz,ix,iy,sx,i;
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unsigned lx,ly,lz;
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hx = __HI(x); /* high word of x */
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lx = __LO(x); /* low word of x */
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hy = __HI(y); /* high word of y */
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ly = __LO(y); /* low word of y */
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sx = hx&0x80000000; /* sign of x */
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hx ^=sx; /* |x| */
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hy &= 0x7fffffff; /* |y| */
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/* purge off exception values */
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if((hy|ly)==0||(hx>=0x7ff00000)|| /* y=0,or x not finite */
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((hy|((ly|-ly)>>31))>0x7ff00000)) /* or y is NaN */
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return (x*y)/(x*y);
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if(hx<=hy) {
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if((hx<hy)||(lx<ly)) return x; /* |x|<|y| return x */
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if(lx==ly)
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return Zero[(unsigned)sx>>31]; /* |x|=|y| return x*0*/
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}
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/* determine ix = ilogb(x) */
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if(hx<0x00100000) { /* subnormal x */
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if(hx==0) {
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for (ix = -1043, i=lx; i>0; i<<=1) ix -=1;
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} else {
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for (ix = -1022,i=(hx<<11); i>0; i<<=1) ix -=1;
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}
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} else ix = (hx>>20)-1023;
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/* determine iy = ilogb(y) */
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if(hy<0x00100000) { /* subnormal y */
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if(hy==0) {
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for (iy = -1043, i=ly; i>0; i<<=1) iy -=1;
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} else {
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for (iy = -1022,i=(hy<<11); i>0; i<<=1) iy -=1;
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}
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} else iy = (hy>>20)-1023;
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/* set up {hx,lx}, {hy,ly} and align y to x */
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if(ix >= -1022)
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hx = 0x00100000|(0x000fffff&hx);
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else { /* subnormal x, shift x to normal */
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n = -1022-ix;
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if(n<=31) {
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hx = (hx<<n)|(lx>>(32-n));
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lx <<= n;
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} else {
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hx = lx<<(n-32);
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||||||
|
lx = 0;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
if(iy >= -1022)
|
||||||
|
hy = 0x00100000|(0x000fffff&hy);
|
||||||
|
else { /* subnormal y, shift y to normal */
|
||||||
|
n = -1022-iy;
|
||||||
|
if(n<=31) {
|
||||||
|
hy = (hy<<n)|(ly>>(32-n));
|
||||||
|
ly <<= n;
|
||||||
|
} else {
|
||||||
|
hy = ly<<(n-32);
|
||||||
|
ly = 0;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
/* fix point fmod */
|
||||||
|
n = ix - iy;
|
||||||
|
while(n--) {
|
||||||
|
hz=hx-hy;lz=lx-ly; if(lx<ly) hz -= 1;
|
||||||
|
if(hz<0){hx = hx+hx+(lx>>31); lx = lx+lx;}
|
||||||
|
else {
|
||||||
|
if((hz|lz)==0) /* return sign(x)*0 */
|
||||||
|
return Zero[(unsigned)sx>>31];
|
||||||
|
hx = hz+hz+(lz>>31); lx = lz+lz;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
hz=hx-hy;lz=lx-ly; if(lx<ly) hz -= 1;
|
||||||
|
if(hz>=0) {hx=hz;lx=lz;}
|
||||||
|
|
||||||
|
/* convert back to floating value and restore the sign */
|
||||||
|
if((hx|lx)==0) /* return sign(x)*0 */
|
||||||
|
return Zero[(unsigned)sx>>31];
|
||||||
|
while(hx<0x00100000) { /* normalize x */
|
||||||
|
hx = hx+hx+(lx>>31); lx = lx+lx;
|
||||||
|
iy -= 1;
|
||||||
|
}
|
||||||
|
if(iy>= -1022) { /* normalize output */
|
||||||
|
hx = ((hx-0x00100000)|((iy+1023)<<20));
|
||||||
|
__HI(x) = hx|sx;
|
||||||
|
__LO(x) = lx;
|
||||||
|
} else { /* subnormal output */
|
||||||
|
n = -1022 - iy;
|
||||||
|
if(n<=20) {
|
||||||
|
lx = (lx>>n)|((unsigned)hx<<(32-n));
|
||||||
|
hx >>= n;
|
||||||
|
} else if (n<=31) {
|
||||||
|
lx = (hx<<(32-n))|(lx>>n); hx = sx;
|
||||||
|
} else {
|
||||||
|
lx = hx>>(n-32); hx = sx;
|
||||||
|
}
|
||||||
|
__HI(x) = hx|sx;
|
||||||
|
__LO(x) = lx;
|
||||||
|
x *= one; /* create necessary signal */
|
||||||
|
}
|
||||||
|
return x; /* exact output */
|
||||||
|
}
|
||||||
308
src/MSL_C.PPCEABI.bare.H/e_pow.c
Normal file
308
src/MSL_C.PPCEABI.bare.H/e_pow.c
Normal file
|
|
@ -0,0 +1,308 @@
|
||||||
|
/* @(#)e_pow.c 1.3 95/01/18 */
|
||||||
|
/*
|
||||||
|
* ====================================================
|
||||||
|
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
|
||||||
|
*
|
||||||
|
* Developed at SunSoft, a Sun Microsystems, Inc. business.
|
||||||
|
* Permission to use, copy, modify, and distribute this
|
||||||
|
* software is freely granted, provided that this notice
|
||||||
|
* is preserved.
|
||||||
|
* ====================================================
|
||||||
|
*/
|
||||||
|
|
||||||
|
/* __ieee754_pow(x,y) return x**y
|
||||||
|
*
|
||||||
|
* n
|
||||||
|
* Method: Let x = 2 * (1+f)
|
||||||
|
* 1. Compute and return log2(x) in two pieces:
|
||||||
|
* log2(x) = w1 + w2,
|
||||||
|
* where w1 has 53-24 = 29 bit trailing zeros.
|
||||||
|
* 2. Perform y*log2(x) = n+y' by simulating muti-precision
|
||||||
|
* arithmetic, where |y'|<=0.5.
|
||||||
|
* 3. Return x**y = 2**n*exp(y'*log2)
|
||||||
|
*
|
||||||
|
* Special cases:
|
||||||
|
* 1. (anything) ** 0 is 1
|
||||||
|
* 2. (anything) ** 1 is itself
|
||||||
|
* 3. (anything) ** NAN is NAN
|
||||||
|
* 4. NAN ** (anything except 0) is NAN
|
||||||
|
* 5. +-(|x| > 1) ** +INF is +INF
|
||||||
|
* 6. +-(|x| > 1) ** -INF is +0
|
||||||
|
* 7. +-(|x| < 1) ** +INF is +0
|
||||||
|
* 8. +-(|x| < 1) ** -INF is +INF
|
||||||
|
* 9. +-1 ** +-INF is NAN
|
||||||
|
* 10. +0 ** (+anything except 0, NAN) is +0
|
||||||
|
* 11. -0 ** (+anything except 0, NAN, odd integer) is +0
|
||||||
|
* 12. +0 ** (-anything except 0, NAN) is +INF
|
||||||
|
* 13. -0 ** (-anything except 0, NAN, odd integer) is +INF
|
||||||
|
* 14. -0 ** (odd integer) = -( +0 ** (odd integer) )
|
||||||
|
* 15. +INF ** (+anything except 0,NAN) is +INF
|
||||||
|
* 16. +INF ** (-anything except 0,NAN) is +0
|
||||||
|
* 17. -INF ** (anything) = -0 ** (-anything)
|
||||||
|
* 18. (-anything) ** (integer) is (-1)**(integer)*(+anything**integer)
|
||||||
|
* 19. (-anything except 0 and inf) ** (non-integer) is NAN
|
||||||
|
*
|
||||||
|
* Accuracy:
|
||||||
|
* pow(x,y) returns x**y nearly rounded. In particular
|
||||||
|
* pow(integer,integer)
|
||||||
|
* always returns the correct integer provided it is
|
||||||
|
* representable.
|
||||||
|
*
|
||||||
|
* Constants :
|
||||||
|
* The hexadecimal values are the intended ones for the following
|
||||||
|
* constants. The decimal values may be used, provided that the
|
||||||
|
* compiler will convert from decimal to binary accurately enough
|
||||||
|
* to produce the hexadecimal values shown.
|
||||||
|
*/
|
||||||
|
|
||||||
|
#include "PowerPC_EABI_Support/Msl/MSL_C/MSL_Common_Embedded/Math/fdlibm.h"
|
||||||
|
#include "PowerPC_EABI_Support/Msl/MSL_C/MSL_Common/errno.h"
|
||||||
|
#include "math.h"
|
||||||
|
|
||||||
|
#ifdef __STDC__
|
||||||
|
static const double
|
||||||
|
#else
|
||||||
|
static double
|
||||||
|
#endif
|
||||||
|
bp[] = {1.0, 1.5,},
|
||||||
|
dp_h[] = { 0.0, 5.84962487220764160156e-01,}, /* 0x3FE2B803, 0x40000000 */
|
||||||
|
dp_l[] = { 0.0, 1.35003920212974897128e-08,}, /* 0x3E4CFDEB, 0x43CFD006 */
|
||||||
|
zero = 0.0,
|
||||||
|
one = 1.0,
|
||||||
|
two = 2.0,
|
||||||
|
two53 = 9007199254740992.0, /* 0x43400000, 0x00000000 */
|
||||||
|
huge = 1.0e300,
|
||||||
|
tiny = 1.0e-300,
|
||||||
|
/* poly coefs for (3/2)*(log(x)-2s-2/3*s**3 */
|
||||||
|
L1 = 5.99999999999994648725e-01, /* 0x3FE33333, 0x33333303 */
|
||||||
|
L2 = 4.28571428578550184252e-01, /* 0x3FDB6DB6, 0xDB6FABFF */
|
||||||
|
L3 = 3.33333329818377432918e-01, /* 0x3FD55555, 0x518F264D */
|
||||||
|
L4 = 2.72728123808534006489e-01, /* 0x3FD17460, 0xA91D4101 */
|
||||||
|
L5 = 2.30660745775561754067e-01, /* 0x3FCD864A, 0x93C9DB65 */
|
||||||
|
L6 = 2.06975017800338417784e-01, /* 0x3FCA7E28, 0x4A454EEF */
|
||||||
|
P1 = 1.66666666666666019037e-01, /* 0x3FC55555, 0x5555553E */
|
||||||
|
P2 = -2.77777777770155933842e-03, /* 0xBF66C16C, 0x16BEBD93 */
|
||||||
|
P3 = 6.61375632143793436117e-05, /* 0x3F11566A, 0xAF25DE2C */
|
||||||
|
P4 = -1.65339022054652515390e-06, /* 0xBEBBBD41, 0xC5D26BF1 */
|
||||||
|
P5 = 4.13813679705723846039e-08, /* 0x3E663769, 0x72BEA4D0 */
|
||||||
|
lg2 = 6.93147180559945286227e-01, /* 0x3FE62E42, 0xFEFA39EF */
|
||||||
|
lg2_h = 6.93147182464599609375e-01, /* 0x3FE62E43, 0x00000000 */
|
||||||
|
lg2_l = -1.90465429995776804525e-09, /* 0xBE205C61, 0x0CA86C39 */
|
||||||
|
ovt = 8.0085662595372944372e-0017, /* -(1024-log2(ovfl+.5ulp)) */
|
||||||
|
cp = 9.61796693925975554329e-01, /* 0x3FEEC709, 0xDC3A03FD =2/(3ln2) */
|
||||||
|
cp_h = 9.61796700954437255859e-01, /* 0x3FEEC709, 0xE0000000 =(float)cp */
|
||||||
|
cp_l = -7.02846165095275826516e-09, /* 0xBE3E2FE0, 0x145B01F5 =tail of cp_h*/
|
||||||
|
ivln2 = 1.44269504088896338700e+00, /* 0x3FF71547, 0x652B82FE =1/ln2 */
|
||||||
|
ivln2_h = 1.44269502162933349609e+00, /* 0x3FF71547, 0x60000000 =24b 1/ln2*/
|
||||||
|
ivln2_l = 1.92596299112661746887e-08; /* 0x3E54AE0B, 0xF85DDF44 =1/ln2 tail*/
|
||||||
|
|
||||||
|
#ifdef __STDC__
|
||||||
|
double __ieee754_pow(double x, double y)
|
||||||
|
#else
|
||||||
|
double __ieee754_pow(x,y)
|
||||||
|
double x, y;
|
||||||
|
#endif
|
||||||
|
{
|
||||||
|
double z,ax,z_h,z_l,p_h,p_l;
|
||||||
|
double y1,t1,t2,r,s,t,u,v,w;
|
||||||
|
int i,j,k,yisint,n;
|
||||||
|
int hx,hy,ix,iy;
|
||||||
|
unsigned lx,ly;
|
||||||
|
|
||||||
|
hx = __HI(x); lx = __LO(x);
|
||||||
|
hy = __HI(y); ly = __LO(y);
|
||||||
|
ix = hx&0x7fffffff; iy = hy&0x7fffffff;
|
||||||
|
|
||||||
|
/* y==zero: x**0 = 1 */
|
||||||
|
if((iy|ly)==0) return one;
|
||||||
|
|
||||||
|
/* +-NaN return x+y */
|
||||||
|
if(ix > 0x7ff00000 || ((ix==0x7ff00000)&&(lx!=0)) ||
|
||||||
|
iy > 0x7ff00000 || ((iy==0x7ff00000)&&(ly!=0)))
|
||||||
|
return x+y;
|
||||||
|
|
||||||
|
/* determine if y is an odd int when x < 0
|
||||||
|
* yisint = 0 ... y is not an integer
|
||||||
|
* yisint = 1 ... y is an odd int
|
||||||
|
* yisint = 2 ... y is an even int
|
||||||
|
*/
|
||||||
|
yisint = 0;
|
||||||
|
if(hx<0) {
|
||||||
|
if(iy>=0x43400000) yisint = 2; /* even integer y */
|
||||||
|
else if(iy>=0x3ff00000) {
|
||||||
|
k = (iy>>20)-0x3ff; /* exponent */
|
||||||
|
if(k>20) {
|
||||||
|
j = ly>>(52-k);
|
||||||
|
if((j<<(52-k))==ly) yisint = 2-(j&1);
|
||||||
|
} else if(ly==0) {
|
||||||
|
j = iy>>(20-k);
|
||||||
|
if((j<<(20-k))==iy) yisint = 2-(j&1);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
/* special value of y */
|
||||||
|
if(ly==0) {
|
||||||
|
if (iy==0x7ff00000) { /* y is +-inf */
|
||||||
|
if(((ix-0x3ff00000)|lx)==0)
|
||||||
|
return y - y; /* inf**+-1 is NaN */
|
||||||
|
else if (ix >= 0x3ff00000)/* (|x|>1)**+-inf = inf,0 */
|
||||||
|
return (hy>=0)? y: zero;
|
||||||
|
else /* (|x|<1)**-,+inf = inf,0 */
|
||||||
|
return (hy<0)?-y: zero;
|
||||||
|
}
|
||||||
|
if(iy==0x3ff00000) { /* y is +-1 */
|
||||||
|
if(hy<0) return one/x; else return x;
|
||||||
|
}
|
||||||
|
if(hy==0x40000000) return x*x; /* y is 2 */
|
||||||
|
if(hy==0x3fe00000) { /* y is 0.5 */
|
||||||
|
if(hx>=0) /* x >= +0 */
|
||||||
|
return sqrt(x);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
ax = fabs(x);
|
||||||
|
/* special value of x */
|
||||||
|
if(lx==0) {
|
||||||
|
if(ix==0x7ff00000||ix==0||ix==0x3ff00000){
|
||||||
|
z = ax; /*x is +-0,+-inf,+-1*/
|
||||||
|
if(hy<0) z = one/z; /* z = (1/|x|) */
|
||||||
|
if(hx<0) {
|
||||||
|
if(((ix-0x3ff00000)|yisint)==0) {
|
||||||
|
z = (z-z)/(z-z); /* (-1)**non-int is NaN */
|
||||||
|
} else if(yisint==1)
|
||||||
|
z = -z; /* (x<0)**odd = -(|x|**odd) */
|
||||||
|
}
|
||||||
|
return z;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
/* (x<0)**(non-int) is NaN */
|
||||||
|
if((((hx>>31)+1)|yisint)==0) {
|
||||||
|
errno = 0x21;
|
||||||
|
return NAN;
|
||||||
|
}
|
||||||
|
|
||||||
|
/* |y| is huge */
|
||||||
|
if(iy>0x41e00000) { /* if |y| > 2**31 */
|
||||||
|
if(iy>0x43f00000){ /* if |y| > 2**64, must o/uflow */
|
||||||
|
if(ix<=0x3fefffff) return (hy<0)? huge*huge:tiny*tiny;
|
||||||
|
if(ix>=0x3ff00000) return (hy>0)? huge*huge:tiny*tiny;
|
||||||
|
}
|
||||||
|
/* over/underflow if x is not close to one */
|
||||||
|
if(ix<0x3fefffff) return (hy<0)? huge*huge:tiny*tiny;
|
||||||
|
if(ix>0x3ff00000) return (hy>0)? huge*huge:tiny*tiny;
|
||||||
|
/* now |1-x| is tiny <= 2**-20, suffice to compute
|
||||||
|
log(x) by x-x^2/2+x^3/3-x^4/4 */
|
||||||
|
t = x-1; /* t has 20 trailing zeros */
|
||||||
|
w = (t*t)*(0.5-t*(0.3333333333333333333333-t*0.25));
|
||||||
|
u = ivln2_h*t; /* ivln2_h has 21 sig. bits */
|
||||||
|
v = t*ivln2_l-w*ivln2;
|
||||||
|
t1 = u+v;
|
||||||
|
__LO(t1) = 0;
|
||||||
|
t2 = v-(t1-u);
|
||||||
|
} else {
|
||||||
|
double s2,s_h,s_l,t_h,t_l;
|
||||||
|
n = 0;
|
||||||
|
/* take care subnormal number */
|
||||||
|
if(ix<0x00100000)
|
||||||
|
{ax *= two53; n -= 53; ix = __HI(ax); }
|
||||||
|
n += ((ix)>>20)-0x3ff;
|
||||||
|
j = ix&0x000fffff;
|
||||||
|
/* determine interval */
|
||||||
|
ix = j|0x3ff00000; /* normalize ix */
|
||||||
|
if(j<=0x3988E) k=0; /* |x|<sqrt(3/2) */
|
||||||
|
else if(j<0xBB67A) k=1; /* |x|<sqrt(3) */
|
||||||
|
else {k=0;n+=1;ix -= 0x00100000;}
|
||||||
|
__HI(ax) = ix;
|
||||||
|
|
||||||
|
/* compute s = s_h+s_l = (x-1)/(x+1) or (x-1.5)/(x+1.5) */
|
||||||
|
u = ax-bp[k]; /* bp[0]=1.0, bp[1]=1.5 */
|
||||||
|
v = one/(ax+bp[k]);
|
||||||
|
s = u*v;
|
||||||
|
s_h = s;
|
||||||
|
__LO(s_h) = 0;
|
||||||
|
/* t_h=ax+bp[k] High */
|
||||||
|
t_h = zero;
|
||||||
|
__HI(t_h)=((ix>>1)|0x20000000)+0x00080000+(k<<18);
|
||||||
|
t_l = ax - (t_h-bp[k]);
|
||||||
|
s_l = v*((u-s_h*t_h)-s_h*t_l);
|
||||||
|
/* compute log(ax) */
|
||||||
|
s2 = s*s;
|
||||||
|
r = s2*s2*(L1+s2*(L2+s2*(L3+s2*(L4+s2*(L5+s2*L6)))));
|
||||||
|
r += s_l*(s_h+s);
|
||||||
|
s2 = s_h*s_h;
|
||||||
|
t_h = 3.0+s2+r;
|
||||||
|
__LO(t_h) = 0;
|
||||||
|
t_l = r-((t_h-3.0)-s2);
|
||||||
|
/* u+v = s*(1+...) */
|
||||||
|
u = s_h*t_h;
|
||||||
|
v = s_l*t_h+t_l*s;
|
||||||
|
/* 2/(3log2)*(s+...) */
|
||||||
|
p_h = u+v;
|
||||||
|
__LO(p_h) = 0;
|
||||||
|
p_l = v-(p_h-u);
|
||||||
|
z_h = cp_h*p_h; /* cp_h+cp_l = 2/(3*log2) */
|
||||||
|
z_l = cp_l*p_h+p_l*cp+dp_l[k];
|
||||||
|
/* log2(ax) = (s+..)*2/(3*log2) = n + dp_h + z_h + z_l */
|
||||||
|
t = (double)n;
|
||||||
|
t1 = (((z_h+z_l)+dp_h[k])+t);
|
||||||
|
__LO(t1) = 0;
|
||||||
|
t2 = z_l-(((t1-t)-dp_h[k])-z_h);
|
||||||
|
}
|
||||||
|
|
||||||
|
s = one; /* s (sign of result -ve**odd) = -1 else = 1 */
|
||||||
|
if((((hx>>31)+1)|(yisint-1))==0) s = -one;/* (-ve)**(odd int) */
|
||||||
|
|
||||||
|
/* split up y into y1+y2 and compute (y1+y2)*(t1+t2) */
|
||||||
|
y1 = y;
|
||||||
|
__LO(y1) = 0;
|
||||||
|
p_l = (y-y1)*t1+y*t2;
|
||||||
|
p_h = y1*t1;
|
||||||
|
z = p_l+p_h;
|
||||||
|
j = __HI(z);
|
||||||
|
i = __LO(z);
|
||||||
|
if (j>=0x40900000) { /* z >= 1024 */
|
||||||
|
if(((j-0x40900000)|i)!=0) /* if z > 1024 */
|
||||||
|
return s*huge*huge; /* overflow */
|
||||||
|
else {
|
||||||
|
if(p_l+ovt>z-p_h) return s*huge*huge; /* overflow */
|
||||||
|
}
|
||||||
|
} else if((j&0x7fffffff)>=0x4090cc00 ) { /* z <= -1075 */
|
||||||
|
if(((j-0xc090cc00)|i)!=0) /* z < -1075 */
|
||||||
|
return s*tiny*tiny; /* underflow */
|
||||||
|
else {
|
||||||
|
if(p_l<=z-p_h) return s*tiny*tiny; /* underflow */
|
||||||
|
}
|
||||||
|
}
|
||||||
|
/*
|
||||||
|
* compute 2**(p_h+p_l)
|
||||||
|
*/
|
||||||
|
i = j&0x7fffffff;
|
||||||
|
k = (i>>20)-0x3ff;
|
||||||
|
n = 0;
|
||||||
|
if(i>0x3fe00000) { /* if |z| > 0.5, set n = [z+0.5] */
|
||||||
|
n = j+(0x00100000>>(k+1));
|
||||||
|
k = ((n&0x7fffffff)>>20)-0x3ff; /* new k for n */
|
||||||
|
t = zero;
|
||||||
|
__HI(t) = (n&~(0x000fffff>>k));
|
||||||
|
n = ((n&0x000fffff)|0x00100000)>>(20-k);
|
||||||
|
if(j<0) n = -n;
|
||||||
|
p_h -= t;
|
||||||
|
}
|
||||||
|
t = p_l+p_h;
|
||||||
|
__LO(t) = 0;
|
||||||
|
u = t*lg2_h;
|
||||||
|
v = (p_l-(t-p_h))*lg2+t*lg2_l;
|
||||||
|
z = u+v;
|
||||||
|
w = v-(z-u);
|
||||||
|
t = z*z;
|
||||||
|
t1 = z - t*(P1+t*(P2+t*(P3+t*(P4+t*P5))));
|
||||||
|
r = (z*t1)/(t1-two)-(w+z*w);
|
||||||
|
z = one-(r-z);
|
||||||
|
j = __HI(z);
|
||||||
|
j += (n<<20);
|
||||||
|
if((j>>20)<=0) z = scalbn(z,n); /* subnormal output */
|
||||||
|
else __HI(z) += (n<<20);
|
||||||
|
return s*z;
|
||||||
|
}
|
||||||
25
src/MSL_C.PPCEABI.bare.H/math_ppc.c
Normal file
25
src/MSL_C.PPCEABI.bare.H/math_ppc.c
Normal file
|
|
@ -0,0 +1,25 @@
|
||||||
|
extern double tan(double);
|
||||||
|
extern double sin(double);
|
||||||
|
extern double cos(double);
|
||||||
|
extern double atan2(double);
|
||||||
|
extern double acos(double);
|
||||||
|
|
||||||
|
float acosf(float arg0) {
|
||||||
|
return (float) acos(arg0);
|
||||||
|
}
|
||||||
|
|
||||||
|
float atan2f(float arg0) {
|
||||||
|
return (float) atan2(arg0);
|
||||||
|
}
|
||||||
|
|
||||||
|
float cosf(float arg0) {
|
||||||
|
return (float) cos(arg0);
|
||||||
|
}
|
||||||
|
|
||||||
|
float sinf(float arg0) {
|
||||||
|
return (float) sin(arg0);
|
||||||
|
}
|
||||||
|
|
||||||
|
float tanf(float arg0) {
|
||||||
|
return (float) tan(arg0);
|
||||||
|
}
|
||||||
Loading…
Add table
Add a link
Reference in a new issue