mirror of
https://github.com/UpsilonNumworks/Upsilon.git
synced 2026-01-19 00:37:25 +01:00
[liba] Add expf and lgammaf to the math library
Change-Id: I8ddca97622404bf3346a3166e354bbfc88fc299f
This commit is contained in:
Émilie Feral
@@ -18,6 +18,8 @@ objs += $(addprefix liba/src/, \
|
||||
)
|
||||
|
||||
objs += $(addprefix liba/src/external/openbsd/, \
|
||||
e_expf.o \
|
||||
e_lgammaf_r.o \
|
||||
e_log10f.o \
|
||||
e_logf.o \
|
||||
e_powf.o \
|
||||
@@ -36,6 +38,8 @@ objs += $(addprefix liba/src/external/openbsd/, \
|
||||
s_scalbnf.o \
|
||||
s_sinf.o \
|
||||
s_tanf.o \
|
||||
w_lgammaf.o \
|
||||
gamma_extern_variable.o\
|
||||
)
|
||||
|
||||
liba/src/external/openbsd/%.o: CFLAGS += -Iliba/src/external/openbsd/include -Wno-parentheses -Wno-implicit-function-declaration
|
||||
@@ -46,6 +50,7 @@ ifeq ($(DEBUG),1)
|
||||
# aeabi conversions when building in -O0 mode, and we really don't want to code
|
||||
# such functions. A simple workaround is to always build this file -Os.
|
||||
liba/src/external/openbsd/s_roundf.o: CFLAGS += -Os
|
||||
liba/src/external/openbsd/e_expf.o: CFLAGS += -Os
|
||||
endif
|
||||
|
||||
tests += $(addprefix liba/test/, \
|
||||
|
||||
@@ -6,6 +6,8 @@
|
||||
LIBA_BEGIN_DECLS
|
||||
|
||||
#define NAN (0.0f/0.0f)
|
||||
#define M_E 2.71828182845904523536028747135266250
|
||||
#define M_PI 3.14159265358979323846264338327950288
|
||||
|
||||
/* The C99 standard requires isinf and isnan to be defined as macros that can
|
||||
* handle arbitrary precision float numbers. The names of the functions called
|
||||
@@ -21,8 +23,11 @@ int isnanf(float x);
|
||||
float ceilf(float x);
|
||||
float copysignf(float x, float y);
|
||||
float cosf(float x);
|
||||
float expf(float x);
|
||||
float fabsf(float x);
|
||||
float floorf(float x);
|
||||
float lgammaf(float x);
|
||||
float lgammaf_r(float x, int *signgamp);
|
||||
float log10f(float x);
|
||||
float logf(float x);
|
||||
float powf(float x, float y);
|
||||
|
||||
92
liba/src/external/openbsd/e_expf.c
vendored
Normal file
92
liba/src/external/openbsd/e_expf.c
vendored
Normal file
@@ -0,0 +1,92 @@
|
||||
/* e_expf.c -- float version of e_exp.c.
|
||||
* Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
|
||||
*/
|
||||
|
||||
/*
|
||||
* ====================================================
|
||||
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
|
||||
*
|
||||
* Developed at SunPro, a Sun Microsystems, Inc. business.
|
||||
* Permission to use, copy, modify, and distribute this
|
||||
* software is freely granted, provided that this notice
|
||||
* is preserved.
|
||||
* ====================================================
|
||||
*/
|
||||
|
||||
#include "math.h"
|
||||
#include "math_private.h"
|
||||
|
||||
static const volatile float huge = 1.0e+30;
|
||||
|
||||
static const float
|
||||
one = 1.0,
|
||||
halF[2] = {0.5,-0.5,},
|
||||
twom100 = 7.8886090522e-31, /* 2**-100=0x0d800000 */
|
||||
o_threshold= 8.8721679688e+01, /* 0x42b17180 */
|
||||
u_threshold= -1.0397208405e+02, /* 0xc2cff1b5 */
|
||||
ln2HI[2] ={ 6.9313812256e-01, /* 0x3f317180 */
|
||||
-6.9313812256e-01,}, /* 0xbf317180 */
|
||||
ln2LO[2] ={ 9.0580006145e-06, /* 0x3717f7d1 */
|
||||
-9.0580006145e-06,}, /* 0xb717f7d1 */
|
||||
invln2 = 1.4426950216e+00, /* 0x3fb8aa3b */
|
||||
P1 = 1.6666667163e-01, /* 0x3e2aaaab */
|
||||
P2 = -2.7777778450e-03, /* 0xbb360b61 */
|
||||
P3 = 6.6137559770e-05, /* 0x388ab355 */
|
||||
P4 = -1.6533901999e-06, /* 0xb5ddea0e */
|
||||
P5 = 4.1381369442e-08; /* 0x3331bb4c */
|
||||
|
||||
float
|
||||
expf(float x) /* default IEEE double exp */
|
||||
{
|
||||
float y,hi,lo,c,t;
|
||||
int32_t k,xsb;
|
||||
u_int32_t hx;
|
||||
|
||||
GET_FLOAT_WORD(hx,x);
|
||||
xsb = (hx>>31)&1; /* sign bit of x */
|
||||
hx &= 0x7fffffff; /* high word of |x| */
|
||||
k = 0;
|
||||
|
||||
/* filter out non-finite argument */
|
||||
if(hx >= 0x42b17218) { /* if |x|>=88.721... */
|
||||
if(hx>0x7f800000)
|
||||
return x+x; /* NaN */
|
||||
if(hx==0x7f800000)
|
||||
return (xsb==0)? x:0.0; /* exp(+-inf)={inf,0} */
|
||||
if(x > o_threshold) return huge*huge; /* overflow */
|
||||
if(x < u_threshold) return twom100*twom100; /* underflow */
|
||||
}
|
||||
|
||||
/* argument reduction */
|
||||
if(hx > 0x3eb17218) { /* if |x| > 0.5 ln2 */
|
||||
if(hx < 0x3F851592) { /* and |x| < 1.5 ln2 */
|
||||
hi = x-ln2HI[xsb]; lo=ln2LO[xsb]; k = 1-xsb-xsb;
|
||||
} else {
|
||||
k = invln2*x+halF[xsb];
|
||||
t = k;
|
||||
hi = x - t*ln2HI[0]; /* t*ln2HI is exact here */
|
||||
lo = t*ln2LO[0];
|
||||
}
|
||||
x = hi - lo;
|
||||
}
|
||||
else if(hx < 0x31800000) { /* when |x|<2**-28 */
|
||||
if(huge+x>one) return one+x;/* trigger inexact */
|
||||
}
|
||||
|
||||
/* x is now in primary range */
|
||||
t = x*x;
|
||||
c = x - t*(P1+t*(P2+t*(P3+t*(P4+t*P5))));
|
||||
if(k==0) return one-((x*c)/(c-(float)2.0)-x);
|
||||
else y = one-((lo-(x*c)/((float)2.0-c))-hi);
|
||||
if(k >= -125) {
|
||||
u_int32_t hy;
|
||||
GET_FLOAT_WORD(hy,y);
|
||||
SET_FLOAT_WORD(y,hy+(k<<23)); /* add k to y's exponent */
|
||||
return y;
|
||||
} else {
|
||||
u_int32_t hy;
|
||||
GET_FLOAT_WORD(hy,y);
|
||||
SET_FLOAT_WORD(y,hy+((k+100)<<23)); /* add k to y's exponent */
|
||||
return y*twom100;
|
||||
}
|
||||
}
|
||||
232
liba/src/external/openbsd/e_lgammaf_r.c
vendored
Normal file
232
liba/src/external/openbsd/e_lgammaf_r.c
vendored
Normal file
@@ -0,0 +1,232 @@
|
||||
/* e_lgammaf_r.c -- float version of e_lgamma_r.c.
|
||||
* Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
|
||||
*/
|
||||
|
||||
/*
|
||||
* ====================================================
|
||||
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
|
||||
*
|
||||
* Developed at SunPro, a Sun Microsystems, Inc. business.
|
||||
* Permission to use, copy, modify, and distribute this
|
||||
* software is freely granted, provided that this notice
|
||||
* is preserved.
|
||||
* ====================================================
|
||||
*/
|
||||
|
||||
#include "math.h"
|
||||
#include "math_private.h"
|
||||
|
||||
static const float
|
||||
two23= 8.3886080000e+06, /* 0x4b000000 */
|
||||
half= 5.0000000000e-01, /* 0x3f000000 */
|
||||
one = 1.0000000000e+00, /* 0x3f800000 */
|
||||
pi = 3.1415927410e+00, /* 0x40490fdb */
|
||||
a0 = 7.7215664089e-02, /* 0x3d9e233f */
|
||||
a1 = 3.2246702909e-01, /* 0x3ea51a66 */
|
||||
a2 = 6.7352302372e-02, /* 0x3d89f001 */
|
||||
a3 = 2.0580807701e-02, /* 0x3ca89915 */
|
||||
a4 = 7.3855509982e-03, /* 0x3bf2027e */
|
||||
a5 = 2.8905137442e-03, /* 0x3b3d6ec6 */
|
||||
a6 = 1.1927076848e-03, /* 0x3a9c54a1 */
|
||||
a7 = 5.1006977446e-04, /* 0x3a05b634 */
|
||||
a8 = 2.2086278477e-04, /* 0x39679767 */
|
||||
a9 = 1.0801156895e-04, /* 0x38e28445 */
|
||||
a10 = 2.5214456400e-05, /* 0x37d383a2 */
|
||||
a11 = 4.4864096708e-05, /* 0x383c2c75 */
|
||||
tc = 1.4616321325e+00, /* 0x3fbb16c3 */
|
||||
tf = -1.2148628384e-01, /* 0xbdf8cdcd */
|
||||
/* tt = -(tail of tf) */
|
||||
tt = 6.6971006518e-09, /* 0x31e61c52 */
|
||||
t0 = 4.8383611441e-01, /* 0x3ef7b95e */
|
||||
t1 = -1.4758771658e-01, /* 0xbe17213c */
|
||||
t2 = 6.4624942839e-02, /* 0x3d845a15 */
|
||||
t3 = -3.2788541168e-02, /* 0xbd064d47 */
|
||||
t4 = 1.7970675603e-02, /* 0x3c93373d */
|
||||
t5 = -1.0314224288e-02, /* 0xbc28fcfe */
|
||||
t6 = 6.1005386524e-03, /* 0x3bc7e707 */
|
||||
t7 = -3.6845202558e-03, /* 0xbb7177fe */
|
||||
t8 = 2.2596477065e-03, /* 0x3b141699 */
|
||||
t9 = -1.4034647029e-03, /* 0xbab7f476 */
|
||||
t10 = 8.8108185446e-04, /* 0x3a66f867 */
|
||||
t11 = -5.3859531181e-04, /* 0xba0d3085 */
|
||||
t12 = 3.1563205994e-04, /* 0x39a57b6b */
|
||||
t13 = -3.1275415677e-04, /* 0xb9a3f927 */
|
||||
t14 = 3.3552918467e-04, /* 0x39afe9f7 */
|
||||
u0 = -7.7215664089e-02, /* 0xbd9e233f */
|
||||
u1 = 6.3282704353e-01, /* 0x3f2200f4 */
|
||||
u2 = 1.4549225569e+00, /* 0x3fba3ae7 */
|
||||
u3 = 9.7771751881e-01, /* 0x3f7a4bb2 */
|
||||
u4 = 2.2896373272e-01, /* 0x3e6a7578 */
|
||||
u5 = 1.3381091878e-02, /* 0x3c5b3c5e */
|
||||
v1 = 2.4559779167e+00, /* 0x401d2ebe */
|
||||
v2 = 2.1284897327e+00, /* 0x4008392d */
|
||||
v3 = 7.6928514242e-01, /* 0x3f44efdf */
|
||||
v4 = 1.0422264785e-01, /* 0x3dd572af */
|
||||
v5 = 3.2170924824e-03, /* 0x3b52d5db */
|
||||
s0 = -7.7215664089e-02, /* 0xbd9e233f */
|
||||
s1 = 2.1498242021e-01, /* 0x3e5c245a */
|
||||
s2 = 3.2577878237e-01, /* 0x3ea6cc7a */
|
||||
s3 = 1.4635047317e-01, /* 0x3e15dce6 */
|
||||
s4 = 2.6642270386e-02, /* 0x3cda40e4 */
|
||||
s5 = 1.8402845599e-03, /* 0x3af135b4 */
|
||||
s6 = 3.1947532989e-05, /* 0x3805ff67 */
|
||||
r1 = 1.3920053244e+00, /* 0x3fb22d3b */
|
||||
r2 = 7.2193557024e-01, /* 0x3f38d0c5 */
|
||||
r3 = 1.7193385959e-01, /* 0x3e300f6e */
|
||||
r4 = 1.8645919859e-02, /* 0x3c98bf54 */
|
||||
r5 = 7.7794247773e-04, /* 0x3a4beed6 */
|
||||
r6 = 7.3266842264e-06, /* 0x36f5d7bd */
|
||||
w0 = 4.1893854737e-01, /* 0x3ed67f1d */
|
||||
w1 = 8.3333335817e-02, /* 0x3daaaaab */
|
||||
w2 = -2.7777778450e-03, /* 0xbb360b61 */
|
||||
w3 = 7.9365057172e-04, /* 0x3a500cfd */
|
||||
w4 = -5.9518753551e-04, /* 0xba1c065c */
|
||||
w5 = 8.3633989561e-04, /* 0x3a5b3dd2 */
|
||||
w6 = -1.6309292987e-03; /* 0xbad5c4e8 */
|
||||
|
||||
static const float zero= 0.0000000000e+00;
|
||||
|
||||
static float
|
||||
sin_pif(float x)
|
||||
{
|
||||
float y,z;
|
||||
int n,ix;
|
||||
|
||||
GET_FLOAT_WORD(ix,x);
|
||||
ix &= 0x7fffffff;
|
||||
|
||||
if(ix<0x3e800000) return __kernel_sinf(pi*x,zero,0);
|
||||
y = -x; /* x is assume negative */
|
||||
|
||||
/*
|
||||
* argument reduction, make sure inexact flag not raised if input
|
||||
* is an integer
|
||||
*/
|
||||
z = floorf(y);
|
||||
if(z!=y) { /* inexact anyway */
|
||||
y *= (float)0.5;
|
||||
y = (float)2.0*(y - floorf(y)); /* y = |x| mod 2.0 */
|
||||
n = (int) (y*(float)4.0);
|
||||
} else {
|
||||
if(ix>=0x4b800000) {
|
||||
y = zero; n = 0; /* y must be even */
|
||||
} else {
|
||||
if(ix<0x4b000000) z = y+two23; /* exact */
|
||||
GET_FLOAT_WORD(n,z);
|
||||
n &= 1;
|
||||
y = n;
|
||||
n<<= 2;
|
||||
}
|
||||
}
|
||||
switch (n) {
|
||||
case 0: y = __kernel_sinf(pi*y,zero,0); break;
|
||||
case 1:
|
||||
case 2: y = __kernel_cosf(pi*((float)0.5-y),zero); break;
|
||||
case 3:
|
||||
case 4: y = __kernel_sinf(pi*(one-y),zero,0); break;
|
||||
case 5:
|
||||
case 6: y = -__kernel_cosf(pi*(y-(float)1.5),zero); break;
|
||||
default: y = __kernel_sinf(pi*(y-(float)2.0),zero,0); break;
|
||||
}
|
||||
return -y;
|
||||
}
|
||||
|
||||
|
||||
float
|
||||
lgammaf_r(float x, int *signgamp)
|
||||
{
|
||||
float t,y,z,nadj,p,p1,p2,p3,q,r,w;
|
||||
int i,hx,ix;
|
||||
|
||||
GET_FLOAT_WORD(hx,x);
|
||||
|
||||
/* purge off +-inf, NaN, +-0, and negative arguments */
|
||||
*signgamp = 1;
|
||||
ix = hx&0x7fffffff;
|
||||
if(ix>=0x7f800000) return x*x;
|
||||
if(ix==0) {
|
||||
if(hx<0)
|
||||
*signgamp = -1;
|
||||
return one/zero;
|
||||
}
|
||||
if(ix<0x1c800000) { /* |x|<2**-70, return -log(|x|) */
|
||||
if(hx<0) {
|
||||
*signgamp = -1;
|
||||
return - logf(-x);
|
||||
} else return - logf(x);
|
||||
}
|
||||
if(hx<0) {
|
||||
if(ix>=0x4b000000) /* |x|>=2**23, must be -integer */
|
||||
return one/zero;
|
||||
t = sin_pif(x);
|
||||
if(t==zero) return one/zero; /* -integer */
|
||||
nadj = logf(pi/fabsf(t*x));
|
||||
if(t<zero) *signgamp = -1;
|
||||
x = -x;
|
||||
}
|
||||
|
||||
/* purge off 1 and 2 */
|
||||
if (ix==0x3f800000||ix==0x40000000) r = 0;
|
||||
/* for x < 2.0 */
|
||||
else if(ix<0x40000000) {
|
||||
if(ix<=0x3f666666) { /* lgamma(x) = lgamma(x+1)-log(x) */
|
||||
r = - logf(x);
|
||||
if(ix>=0x3f3b4a20) {y = one-x; i= 0;}
|
||||
else if(ix>=0x3e6d3308) {y= x-(tc-one); i=1;}
|
||||
else {y = x; i=2;}
|
||||
} else {
|
||||
r = zero;
|
||||
if(ix>=0x3fdda618) {y=(float)2.0-x;i=0;} /* [1.7316,2] */
|
||||
else if(ix>=0x3F9da620) {y=x-tc;i=1;} /* [1.23,1.73] */
|
||||
else {y=x-one;i=2;}
|
||||
}
|
||||
switch(i) {
|
||||
case 0:
|
||||
z = y*y;
|
||||
p1 = a0+z*(a2+z*(a4+z*(a6+z*(a8+z*a10))));
|
||||
p2 = z*(a1+z*(a3+z*(a5+z*(a7+z*(a9+z*a11)))));
|
||||
p = y*p1+p2;
|
||||
r += (p-(float)0.5*y); break;
|
||||
case 1:
|
||||
z = y*y;
|
||||
w = z*y;
|
||||
p1 = t0+w*(t3+w*(t6+w*(t9 +w*t12))); /* parallel comp */
|
||||
p2 = t1+w*(t4+w*(t7+w*(t10+w*t13)));
|
||||
p3 = t2+w*(t5+w*(t8+w*(t11+w*t14)));
|
||||
p = z*p1-(tt-w*(p2+y*p3));
|
||||
r += (tf + p); break;
|
||||
case 2:
|
||||
p1 = y*(u0+y*(u1+y*(u2+y*(u3+y*(u4+y*u5)))));
|
||||
p2 = one+y*(v1+y*(v2+y*(v3+y*(v4+y*v5))));
|
||||
r += (-(float)0.5*y + p1/p2);
|
||||
}
|
||||
}
|
||||
else if(ix<0x41000000) { /* x < 8.0 */
|
||||
i = (int)x;
|
||||
t = zero;
|
||||
y = x-(float)i;
|
||||
p = y*(s0+y*(s1+y*(s2+y*(s3+y*(s4+y*(s5+y*s6))))));
|
||||
q = one+y*(r1+y*(r2+y*(r3+y*(r4+y*(r5+y*r6)))));
|
||||
r = half*y+p/q;
|
||||
z = one; /* lgamma(1+s) = log(s) + lgamma(s) */
|
||||
switch(i) {
|
||||
case 7: z *= (y+(float)6.0); /* FALLTHRU */
|
||||
case 6: z *= (y+(float)5.0); /* FALLTHRU */
|
||||
case 5: z *= (y+(float)4.0); /* FALLTHRU */
|
||||
case 4: z *= (y+(float)3.0); /* FALLTHRU */
|
||||
case 3: z *= (y+(float)2.0); /* FALLTHRU */
|
||||
r += logf(z); break;
|
||||
}
|
||||
/* 8.0 <= x < 2**58 */
|
||||
} else if (ix < 0x5c800000) {
|
||||
t = logf(x);
|
||||
z = one/x;
|
||||
y = z*z;
|
||||
w = w0+z*(w1+y*(w2+y*(w3+y*(w4+y*(w5+y*w6)))));
|
||||
r = (x-half)*(t-one)+w;
|
||||
} else
|
||||
/* 2**58 <= x <= inf */
|
||||
r = x*(logf(x)-one);
|
||||
if(hx<0) r = nadj - r;
|
||||
return r;
|
||||
}
|
||||
3
liba/src/external/openbsd/gamma_extern_variable.c
vendored
Normal file
3
liba/src/external/openbsd/gamma_extern_variable.c
vendored
Normal file
@@ -0,0 +1,3 @@
|
||||
/* The openbsd w_lgamma.c requieres at linking a symbol signgam */
|
||||
|
||||
int signgam;
|
||||
25
liba/src/external/openbsd/w_lgammaf.c
vendored
Normal file
25
liba/src/external/openbsd/w_lgammaf.c
vendored
Normal file
@@ -0,0 +1,25 @@
|
||||
/* w_lgammaf.c -- float version of w_lgamma.c.
|
||||
* Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
|
||||
*/
|
||||
|
||||
/*
|
||||
* ====================================================
|
||||
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
|
||||
*
|
||||
* Developed at SunPro, a Sun Microsystems, Inc. business.
|
||||
* Permission to use, copy, modify, and distribute this
|
||||
* software is freely granted, provided that this notice
|
||||
* is preserved.
|
||||
* ====================================================
|
||||
*/
|
||||
|
||||
#include "math.h"
|
||||
#include "math_private.h"
|
||||
|
||||
extern int signgam;
|
||||
|
||||
float
|
||||
lgammaf(float x)
|
||||
{
|
||||
return lgammaf_r(x,&signgam);
|
||||
}
|
||||
Reference in New Issue
Block a user