--- /dev/null
+/* SPDX-License-Identifier: LGPL-2.1-or-later */
+
+#include "math-util.h"
+
+double xexp10i(int n) {
+ /* Powers of 10 up to 10^22 are exact in IEEE-754 binary64. */
+ static const double table[] = {
+ 1e0, 1e1, 1e2, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9, 1e10, 1e11,
+ 1e12, 1e13, 1e14, 1e15, 1e16, 1e17, 1e18, 1e19, 1e20, 1e21, 1e22,
+ };
+ bool negative = n < 0;
+
+ /* Cast before negation so n == INT_MIN doesn't invoke signed-overflow UB. Unsigned negation
+ * wraps to the magnitude we want. */
+ unsigned k = negative ? -(unsigned) n : (unsigned) n;
+
+ /* 10^309 already overflows binary64 to +Inf; anything beyond just stays there. */
+ k = MIN(k, 309u);
+ double r = k < ELEMENTSOF(table) ? table[k] : table[ELEMENTSOF(table) - 1];
+ for (unsigned i = ELEMENTSOF(table) - 1; i < k; i++)
+ r *= 10.0;
+
+ return negative ? 1.0 / r : r;
+}
/* To avoid x == y and triggering compile warning -Wfloat-equal. This returns false if one of the argument is
* NaN or infinity. One of the argument must be a floating point. */
#define fp_equal(x, y) iszero_safe((x) - (y))
+
+/* 10^n. Exact for |n| ≤ 22; otherwise multiplies and may accumulate rounding error. Saturates to
+ * 0.0 or +Inf outside binary64's exponent range; large |n| is capped internally so untrusted
+ * inputs can't cause unbounded work. */
+double xexp10i(int n);
'log.c',
'log-context.c',
'login-util.c',
+ 'math-util.c',
'memfd-util.c',
'memory-util.c',
'mempool.c',
*p = c;
if (is_real) {
- ret->real = ((negative ? -1.0 : 1.0) * (x + (y / shift))) * exp10((exponent_negative ? -1.0 : 1.0) * exponent);
+ /* Clamp before casting to int — a JSON input with an absurdly large exponent could
+ * otherwise trigger undefined behaviour in the double→int conversion. xexp10i()
+ * itself saturates anything beyond ~10^308, so clamping at INT_MAX is harmless. */
+ int e = exponent > (double) INT_MAX ? INT_MAX : (int) exponent;
+ ret->real = ((negative ? -1.0 : 1.0) * (x + (y / shift))) * xexp10i(exponent_negative ? -e : e);
return JSON_TOKEN_REAL;
} else if (negative) {
ret->integer = i;
/* SPDX-License-Identifier: LGPL-2.1-or-later */
-#include <math.h>
-
#include "color-util.h"
+#include "math-util.h"
void rgb_to_hsv(double r, double g, double b,
double *ret_h, double *ret_s, double *ret_v) {
/* SPDX-License-Identifier: LGPL-2.1-or-later */
-#include <math.h>
-
#include "alloc-util.h"
#include "bitmap.h"
#include "dns-answer.h" /* IWYU pragma: keep */
#include "hash-funcs.h"
#include "hexdecoct.h"
#include "json-util.h"
+#include "math-util.h"
#include "memory-util.h"
#include "siphash24.h"
#include "string-table.h"
int lat = latitude >= 1U<<31 ? (int) (latitude - (1U<<31)) : (int) ((1U<<31) - latitude);
int lon = longitude >= 1U<<31 ? (int) (longitude - (1U<<31)) : (int) ((1U<<31) - longitude);
double alt = altitude >= 10000000u ? altitude - 10000000u : -(double)(10000000u - altitude);
- double siz = (size >> 4) * exp10((double) (size & 0xF));
- double hor = (horiz_pre >> 4) * exp10((double) (horiz_pre & 0xF));
- double ver = (vert_pre >> 4) * exp10((double) (vert_pre & 0xF));
+ double siz = (size >> 4) * xexp10i(size & 0xF);
+ double hor = (horiz_pre >> 4) * xexp10i(horiz_pre & 0xF);
+ double ver = (vert_pre >> 4) * xexp10i(vert_pre & 0xF);
if (asprintf(&s, "%d %d %.3f %c %d %d %.3f %c %.2fm %.2fm %.2fm %.2fm",
(lat / 60000 / 60),
assert_se(!fp_equal(42 / INFINITY, INFINITY / INFINITY));
}
+TEST(xexp10i) {
+ /* Table-lookup range: every value is exact in binary64 */
+ ASSERT_TRUE(fp_equal(xexp10i(0), 1.0));
+ ASSERT_TRUE(fp_equal(xexp10i(1), 10.0));
+ ASSERT_TRUE(fp_equal(xexp10i(2), 100.0));
+ ASSERT_TRUE(fp_equal(xexp10i(22), 1e22));
+
+ /* Negative exponents */
+ ASSERT_TRUE(fp_equal(xexp10i(-1), 0.1));
+ ASSERT_TRUE(fp_equal(xexp10i(-3), 0.001));
+
+ /* Beyond the table: result still matches a plain 10.0 multiplication chain (no precision
+ * claim beyond binary64) */
+ ASSERT_TRUE(xexp10i(23) > 0.9e23 && xexp10i(23) < 1.1e23);
+ ASSERT_TRUE(xexp10i(100) > 0.9e100 && xexp10i(100) < 1.1e100);
+
+ /* Overflow saturates to +Inf, underflow to 0 — matching glibc exp10() */
+ ASSERT_TRUE(isinf(xexp10i(400)));
+ ASSERT_TRUE(fp_equal(xexp10i(-400), 0.0));
+
+ /* Pathological inputs must still terminate quickly thanks to the internal cap */
+ ASSERT_TRUE(isinf(xexp10i(INT_MAX)));
+ ASSERT_TRUE(fp_equal(xexp10i(INT_MIN), 0.0));
+
+ /* Regression guard for the DBL_MAX round-trip described in math-util.c: 10^308 must be small
+ * enough that DBL_MAX's mantissa (≈ 1.7976931348623157) multiplied by it does not overflow
+ * to +Inf. Delegating to __builtin_powi(10.0, n) here breaks this — libgcc's __powidf2
+ * accumulates a few ULPs of error through repeated squaring, and the product spills over.
+ * Matching test-json's delta of 0.0001, the reconstructed value must land within 0.01% of
+ * DBL_MAX. */
+ double dbl_max_reconstructed = 1.7976931348623157 * xexp10i(308);
+ ASSERT_FALSE(isinf(dbl_max_reconstructed));
+ ASSERT_TRUE(ABS(1.0 - DBL_MAX / dbl_max_reconstructed) < 0.0001);
+}
+
DEFINE_TEST_MAIN(LOG_DEBUG);