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-rw-r--r--library/core/src/num/int_log10.rs140
1 files changed, 140 insertions, 0 deletions
diff --git a/library/core/src/num/int_log10.rs b/library/core/src/num/int_log10.rs
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index 000000000..cc26c04a5
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+++ b/library/core/src/num/int_log10.rs
@@ -0,0 +1,140 @@
+/// These functions compute the integer logarithm of their type, assuming
+/// that someone has already checked that the the value is strictly positive.
+
+// 0 < val <= u8::MAX
+#[inline]
+pub const fn u8(val: u8) -> u32 {
+ let val = val as u32;
+
+ // For better performance, avoid branches by assembling the solution
+ // in the bits above the low 8 bits.
+
+ // Adding c1 to val gives 10 in the top bits for val < 10, 11 for val >= 10
+ const C1: u32 = 0b11_00000000 - 10; // 758
+ // Adding c2 to val gives 01 in the top bits for val < 100, 10 for val >= 100
+ const C2: u32 = 0b10_00000000 - 100; // 412
+
+ // Value of top bits:
+ // +c1 +c2 1&2
+ // 0..=9 10 01 00 = 0
+ // 10..=99 11 01 01 = 1
+ // 100..=255 11 10 10 = 2
+ ((val + C1) & (val + C2)) >> 8
+}
+
+// 0 < val < 100_000
+#[inline]
+const fn less_than_5(val: u32) -> u32 {
+ // Similar to u8, when adding one of these constants to val,
+ // we get two possible bit patterns above the low 17 bits,
+ // depending on whether val is below or above the threshold.
+ const C1: u32 = 0b011_00000000000000000 - 10; // 393206
+ const C2: u32 = 0b100_00000000000000000 - 100; // 524188
+ const C3: u32 = 0b111_00000000000000000 - 1000; // 916504
+ const C4: u32 = 0b100_00000000000000000 - 10000; // 514288
+
+ // Value of top bits:
+ // +c1 +c2 1&2 +c3 +c4 3&4 ^
+ // 0..=9 010 011 010 110 011 010 000 = 0
+ // 10..=99 011 011 011 110 011 010 001 = 1
+ // 100..=999 011 100 000 110 011 010 010 = 2
+ // 1000..=9999 011 100 000 111 011 011 011 = 3
+ // 10000..=99999 011 100 000 111 100 100 100 = 4
+ (((val + C1) & (val + C2)) ^ ((val + C3) & (val + C4))) >> 17
+}
+
+// 0 < val <= u16::MAX
+#[inline]
+pub const fn u16(val: u16) -> u32 {
+ less_than_5(val as u32)
+}
+
+// 0 < val <= u32::MAX
+#[inline]
+pub const fn u32(mut val: u32) -> u32 {
+ let mut log = 0;
+ if val >= 100_000 {
+ val /= 100_000;
+ log += 5;
+ }
+ log + less_than_5(val)
+}
+
+// 0 < val <= u64::MAX
+#[inline]
+pub const fn u64(mut val: u64) -> u32 {
+ let mut log = 0;
+ if val >= 10_000_000_000 {
+ val /= 10_000_000_000;
+ log += 10;
+ }
+ if val >= 100_000 {
+ val /= 100_000;
+ log += 5;
+ }
+ log + less_than_5(val as u32)
+}
+
+// 0 < val <= u128::MAX
+#[inline]
+pub const fn u128(mut val: u128) -> u32 {
+ let mut log = 0;
+ if val >= 100_000_000_000_000_000_000_000_000_000_000 {
+ val /= 100_000_000_000_000_000_000_000_000_000_000;
+ log += 32;
+ return log + u32(val as u32);
+ }
+ if val >= 10_000_000_000_000_000 {
+ val /= 10_000_000_000_000_000;
+ log += 16;
+ }
+ log + u64(val as u64)
+}
+
+#[cfg(target_pointer_width = "16")]
+#[inline]
+pub const fn usize(val: usize) -> u32 {
+ u16(val as _)
+}
+
+#[cfg(target_pointer_width = "32")]
+#[inline]
+pub const fn usize(val: usize) -> u32 {
+ u32(val as _)
+}
+
+#[cfg(target_pointer_width = "64")]
+#[inline]
+pub const fn usize(val: usize) -> u32 {
+ u64(val as _)
+}
+
+// 0 < val <= i8::MAX
+#[inline]
+pub const fn i8(val: i8) -> u32 {
+ u8(val as u8)
+}
+
+// 0 < val <= i16::MAX
+#[inline]
+pub const fn i16(val: i16) -> u32 {
+ u16(val as u16)
+}
+
+// 0 < val <= i32::MAX
+#[inline]
+pub const fn i32(val: i32) -> u32 {
+ u32(val as u32)
+}
+
+// 0 < val <= i64::MAX
+#[inline]
+pub const fn i64(val: i64) -> u32 {
+ u64(val as u64)
+}
+
+// 0 < val <= i128::MAX
+#[inline]
+pub const fn i128(val: i128) -> u32 {
+ u128(val as u128)
+}