diff options
Diffstat (limited to 'src/math/powl.c')
| -rw-r--r-- | src/math/powl.c | 42 |
1 files changed, 21 insertions, 21 deletions
diff --git a/src/math/powl.c b/src/math/powl.c index 5b6da07b..9eb22162 100644 --- a/src/math/powl.c +++ b/src/math/powl.c @@ -57,14 +57,6 @@ * IEEE 0,8700 60000 6.5e-18 1.0e-18 * 0.99 < x < 1.01, 0 < y < 8700, uniformly distributed. * - * - * ERROR MESSAGES: - * - * message condition value returned - * pow overflow x**y > MAXNUM INFINITY - * pow underflow x**y < 1/MAXNUM 0.0 - * pow domain x<0 and y noninteger 0.0 - * */ #include "libm.h" @@ -212,25 +204,33 @@ long double powl(long double x, long double y) } if (x == 1.0) return 1.0; /* 1**y = 1, even if y is nan */ - if (x == -1.0 && !isfinite(y)) - return 1.0; /* -1**inf = 1 */ if (y == 0.0) return 1.0; /* x**0 = 1, even if x is nan */ if (y == 1.0) return x; - if (y >= LDBL_MAX) { - if (x > 1.0 || x < -1.0) - return INFINITY; - if (x != 0.0) - return 0.0; - } - if (y <= -LDBL_MAX) { - if (x > 1.0 || x < -1.0) + /* if y*log2(x) < log2(LDBL_TRUE_MIN)-1 then x^y uflows to 0 + if y*log2(x) > -log2(LDBL_TRUE_MIN)+1 > LDBL_MAX_EXP then x^y oflows + if |x|!=1 then |log2(x)| > |log(x)| > LDBL_EPSILON/2 so + x^y oflows/uflows if |y|*LDBL_EPSILON/2 > -log2(LDBL_TRUE_MIN)+1 */ + if (fabsl(y) > 2*(-LDBL_MIN_EXP+LDBL_MANT_DIG+1)/LDBL_EPSILON) { + /* y is not an odd int */ + if (x == -1.0) + return 1.0; + if (y == INFINITY) { + if (x > 1.0 || x < -1.0) + return INFINITY; return 0.0; - if (x != 0.0 || y == -INFINITY) + } + if (y == -INFINITY) { + if (x > 1.0 || x < -1.0) + return 0.0; return INFINITY; + } + if ((x > 1.0 || x < -1.0) == (y > 0)) + return huge * huge; + return twom10000 * twom10000; } - if (x >= LDBL_MAX) { + if (x == INFINITY) { if (y > 0.0) return INFINITY; return 0.0; @@ -253,7 +253,7 @@ long double powl(long double x, long double y) yoddint = 1; } - if (x <= -LDBL_MAX) { + if (x == -INFINITY) { if (y > 0.0) { if (yoddint) return -INFINITY; |