math: remove STRICT_ASSIGN macro

gcc did not always drop excess precision according to c99 at assignments
before version 4.5 even if -std=c99 was requested which caused badly
broken mathematical functions on i386 when FLT_EVAL_METHOD!=0

but STRICT_ASSIGN was not used consistently and it is worked around for
old compilers with -ffloat-store so it is no longer needed

the new convention is to get the compiler respect c99 semantics and when
excess precision is not harmful use float_t or double_t or to specialize
code using FLT_EVAL_METHOD
This commit is contained in:
Szabolcs Nagy 2013-09-06 18:35:55 +00:00
parent f657fe4b9f
commit 9b0fcb441a
11 changed files with 13 additions and 23 deletions

View File

@ -155,15 +155,4 @@ long double __tanl(long double, long double, int);
long double __polevll(long double, const long double *, int);
long double __p1evll(long double, const long double *, int);
#if 0
/* Attempt to get strict C99 semantics for assignment with non-C99 compilers. */
#define STRICT_ASSIGN(type, lval, rval) do { \
volatile type __v = (rval); \
(lval) = __v; \
} while (0)
#else
/* Should work with -fexcess-precision=standard (>=gcc-4.5) or -ffloat-store */
#define STRICT_ASSIGN(type, lval, rval) ((lval) = (type)(rval))
#endif
#endif

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@ -112,7 +112,7 @@ int __rem_pio2(double x, double *y)
uint32_t high;
medium:
/* Use a specialized rint() to get fn. Assume round-to-nearest. */
STRICT_ASSIGN(double, fn, x*invpio2 + 0x1.8p52);
fn = x*invpio2 + 0x1.8p52;
fn = fn - 0x1.8p52;
// FIXME
#ifdef HAVE_EFFICIENT_IRINT

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@ -415,7 +415,8 @@ recompute:
fw = 0.0;
for (i=jz; i>=0; i--)
fw += fq[i];
STRICT_ASSIGN(double,fw,fw);
// TODO: drop excess precision here once double_t is used
fw = (double)fw;
y[0] = ih==0 ? fw : -fw;
fw = fq[0]-fw;
for (i=1; i<=jz; i++)

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@ -44,7 +44,7 @@ int __rem_pio2f(float x, double *y)
/* 25+53 bit pi is good enough for medium size */
if (ix < 0x4dc90fdb) { /* |x| ~< 2^28*(pi/2), medium size */
/* Use a specialized rint() to get fn. Assume round-to-nearest. */
STRICT_ASSIGN(double, fn, x*invpio2 + 0x1.8p52);
fn = x*invpio2 + 0x1.8p52;
fn = fn - 0x1.8p52;
// FIXME
#ifdef HAVE_EFFICIENT_IRINT

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@ -94,7 +94,7 @@ double exp(double x)
return x;
if (x > 709.782712893383973096) {
/* overflow if x!=inf */
STRICT_ASSIGN(double, x, 0x1p1023 * x);
x *= 0x1p1023;
return x;
}
if (x < -708.39641853226410622) {
@ -113,7 +113,7 @@ double exp(double x)
k = 1 - sign - sign;
hi = x - k*ln2hi; /* k*ln2hi is exact here */
lo = k*ln2lo;
STRICT_ASSIGN(double, x, hi - lo);
x = hi - lo;
} else if (hx > 0x3e300000) { /* if |x| > 2**-28 */
k = 0;
hi = x;

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@ -340,7 +340,7 @@ double exp2(double x)
if (ix >= 0x408ff000) { /* |x| >= 1022 or nan */
if (ix >= 0x40900000 && u.i>>63 == 0) { /* x >= 1024 or nan */
/* overflow */
STRICT_ASSIGN(double, x, x * 0x1p1023);
x *= 0x1p1023;
return x;
}
if (ix >= 0x7ff00000) /* -inf or -nan */

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@ -41,7 +41,7 @@ float expf(float x)
if (hx >= 0x42aeac50) { /* if |x| >= -87.33655f or NaN */
if (hx >= 0x42b17218 && !sign) { /* x >= 88.722839f */
/* overflow */
STRICT_ASSIGN(float, x, x * 0x1p127f);
x *= 0x1p127f;
return x;
}
if (sign) {
@ -60,7 +60,7 @@ float expf(float x)
k = 1 - sign - sign;
hi = x - k*ln2hi; /* k*ln2hi is exact here */
lo = k*ln2lo;
STRICT_ASSIGN(float, x, hi - lo);
x = hi - lo;
} else if (hx > 0x39000000) { /* |x| > 2**-14 */
k = 0;
hi = x;

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@ -155,7 +155,7 @@ double expm1(double x)
hi = x - t*ln2_hi; /* t*ln2_hi is exact here */
lo = t*ln2_lo;
}
STRICT_ASSIGN(double, x, hi - lo);
x = hi-lo;
c = (hi-x)-lo;
} else if (hx < 0x3c900000) { /* |x| < 2**-54, return x */
if (hx < 0x00100000)

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@ -65,7 +65,7 @@ float expm1f(float x)
hi = x - t*ln2_hi; /* t*ln2_hi is exact here */
lo = t*ln2_lo;
}
STRICT_ASSIGN(float, x, hi - lo);
x = hi-lo;
c = (hi-x)-lo;
} else if (hx < 0x33000000) { /* when |x|<2**-25, return x */
if (hx < 0x00800000)

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@ -122,7 +122,7 @@ double log1p(double x)
return x+x;
if (k != 0) {
if (hx < 0x43400000) {
STRICT_ASSIGN(double, u, 1.0 + x);
u = 1 + x;
GET_HIGH_WORD(hu, u);
k = (hu>>20) - 1023;
c = k > 0 ? 1.0-(u-x) : x-(u-1.0); /* correction term */

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@ -61,7 +61,7 @@ float log1pf(float x)
return x+x;
if (k != 0) {
if (hx < 0x5a000000) {
STRICT_ASSIGN(float, u, 1.0f + x);
u = 1 + x;
GET_FLOAT_WORD(hu, u);
k = (hu>>23) - 127;
/* correction term */