// is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
// KIND, either express or implied.
+// Returns the number of decimal digits in v, which must not contain more than 9
+// digits.
#[cfg_attr(feature = "no-panic", inline)]
pub fn decimal_length9(v: u32) -> u32 {
// Function precondition: v is not a 10-digit number.
}
}
-// Returns e == 0 ? 1 : ceil(log_2(5^e)).
+// Returns e == 0 ? 1 : [log_2(5^e)]; requires 0 <= e <= 3528.
#[cfg_attr(feature = "no-panic", inline)]
-pub fn pow5bits(e: i32) -> i32 {
- // This approximation works up to the point that the multiplication overflows at e = 3529.
- // If the multiplication were done in 64 bits, it would fail at 5^4004 which is just greater
- // than 2^9297.
+#[allow(dead_code)]
+pub fn log2_pow5(e: i32) -> i32 /* or u32 -> u32 */ {
+ // This approximation works up to the point that the multiplication
+ // overflows at e = 3529. If the multiplication were done in 64 bits, it
+ // would fail at 5^4004 which is just greater than 2^9297.
+ debug_assert!(e >= 0);
+ debug_assert!(e <= 3528);
+ ((e as u32 * 1217359) >> 19) as i32
+}
+
+// Returns e == 0 ? 1 : ceil(log_2(5^e)); requires 0 <= e <= 3528.
+#[cfg_attr(feature = "no-panic", inline)]
+pub fn pow5bits(e: i32) -> i32 /* or u32 -> u32 */ {
+ // This approximation works up to the point that the multiplication
+ // overflows at e = 3529. If the multiplication were done in 64 bits, it
+ // would fail at 5^4004 which is just greater than 2^9297.
debug_assert!(e >= 0);
debug_assert!(e <= 3528);
(((e as u32 * 1217359) >> 19) + 1) as i32
}
-// Returns floor(log_10(2^e)).
#[cfg_attr(feature = "no-panic", inline)]
-pub fn log10_pow2(e: i32) -> u32 {
+#[allow(dead_code)]
+pub fn ceil_log2_pow5(e: i32) -> i32 /* or u32 -> u32 */ {
+ log2_pow5(e) + 1
+}
+
+// Returns floor(log_10(2^e)); requires 0 <= e <= 1650.
+#[cfg_attr(feature = "no-panic", inline)]
+pub fn log10_pow2(e: i32) -> u32 /* or u32 -> u32 */ {
// The first value this approximation fails for is 2^1651 which is just greater than 10^297.
debug_assert!(e >= 0);
debug_assert!(e <= 1650);
(e as u32 * 78913) >> 18
}
-// Returns floor(log_10(5^e)).
+// Returns floor(log_10(5^e)); requires 0 <= e <= 2620.
#[cfg_attr(feature = "no-panic", inline)]
-pub fn log10_pow5(e: i32) -> u32 {
+pub fn log10_pow5(e: i32) -> u32 /* or u32 -> u32 */ {
// The first value this approximation fails for is 5^2621 which is just greater than 10^1832.
debug_assert!(e >= 0);
debug_assert!(e <= 2620);