[PATCH] LOG2: Implement a general integer log2 facility in the kernel

This facility provides three entry points:

	ilog2()		Log base 2 of unsigned long
	ilog2_u32()	Log base 2 of u32
	ilog2_u64()	Log base 2 of u64

These facilities can either be used inside functions on dynamic data:

	int do_something(long q)
	{
		...;
		y = ilog2(x)
		...;
	}

Or can be used to statically initialise global variables with constant values:

	unsigned n = ilog2(27);

When performing static initialisation, the compiler will report "error:
initializer element is not constant" if asked to take a log of zero or of
something not reducible to a constant.  They treat negative numbers as
unsigned.

When not dealing with a constant, they fall back to using fls() which permits
them to use arch-specific log calculation instructions - such as BSR on
x86/x86_64 or SCAN on FRV - if available.

[[email protected]: MMC fix]
Signed-off-by: David Howells <[email protected]>
Cc: Benjamin Herrenschmidt <[email protected]>
Cc: Paul Mackerras <[email protected]>
Cc: Herbert Xu <[email protected]>
Cc: David Howells <[email protected]>
Cc: Wojtek Kaniewski <[email protected]>
Signed-off-by: Andrew Morton <[email protected]>
Signed-off-by: Linus Torvalds <[email protected]>

arch/alpha/Kconfig

@@ -25,6 +25,14 @@ config RWSEM_XCHGADD_ALGORITHM
 	bool
 	default y
 
+config ARCH_HAS_ILOG2_U32
+	bool
+	default n
+
+config ARCH_HAS_ILOG2_U64
+	bool
+	default n
+
 config GENERIC_FIND_NEXT_BIT
 	bool
 	default y

arch/arm/Kconfig

@@ -74,6 +74,14 @@ config RWSEM_GENERIC_SPINLOCK
 config RWSEM_XCHGADD_ALGORITHM
 	bool
 
+config ARCH_HAS_ILOG2_U32
+	bool
+	default n
+
+config ARCH_HAS_ILOG2_U64
+	bool
+	default n
+
 config GENERIC_HWEIGHT
 	bool
 	default y

arch/arm26/Kconfig

@@ -41,6 +41,14 @@ config RWSEM_GENERIC_SPINLOCK
 config RWSEM_XCHGADD_ALGORITHM
 	bool
 
+config ARCH_HAS_ILOG2_U32
+	bool
+	default n
+
+config ARCH_HAS_ILOG2_U64
+	bool
+	default n
+
 config GENERIC_HWEIGHT
 	bool
 	default y

arch/avr32/Kconfig

@@ -45,6 +45,14 @@ config GENERIC_TIME
 config RWSEM_XCHGADD_ALGORITHM
 	bool
 
+config ARCH_HAS_ILOG2_U32
+	bool
+	default n
+
+config ARCH_HAS_ILOG2_U64
+	bool
+	default n
+
 config GENERIC_BUST_SPINLOCK
 	bool
 

arch/cris/Kconfig

@@ -16,6 +16,14 @@ config RWSEM_GENERIC_SPINLOCK
 config RWSEM_XCHGADD_ALGORITHM
 	bool
 
+config ARCH_HAS_ILOG2_U32
+	bool
+	default n
+
+config ARCH_HAS_ILOG2_U64
+	bool
+	default n
+
 config GENERIC_FIND_NEXT_BIT
 	bool
 	default y

arch/frv/Kconfig

@@ -41,6 +41,14 @@ config TIME_LOW_RES
 	bool
 	default y
 
+config ARCH_HAS_ILOG2_U32
+	bool
+	default y
+
+config ARCH_HAS_ILOG2_U64
+	bool
+	default y
+
 mainmenu "Fujitsu FR-V Kernel Configuration"
 
 source "init/Kconfig"

arch/h8300/Kconfig

@@ -29,6 +29,14 @@ config RWSEM_XCHGADD_ALGORITHM
 	bool
 	default n
 
+config ARCH_HAS_ILOG2_U32
+	bool
+	default n
+
+config ARCH_HAS_ILOG2_U64
+	bool
+	default n
+
 config GENERIC_FIND_NEXT_BIT
 	bool
 	default y

arch/i386/Kconfig.cpu

@@ -248,6 +248,14 @@ config RWSEM_XCHGADD_ALGORITHM
 	depends on !M386
 	default y
 
+config ARCH_HAS_ILOG2_U32
+	bool
+	default n
+
+config ARCH_HAS_ILOG2_U64
+	bool
+	default n
+
 config GENERIC_CALIBRATE_DELAY
 	bool
 	default y

arch/ia64/Kconfig

@@ -34,6 +34,14 @@ config RWSEM_XCHGADD_ALGORITHM
 	bool
 	default y
 
+config ARCH_HAS_ILOG2_U32
+	bool
+	default n
+
+config ARCH_HAS_ILOG2_U64
+	bool
+	default n
+
 config GENERIC_FIND_NEXT_BIT
 	bool
 	default y

arch/m32r/Kconfig

@@ -214,6 +214,14 @@ config RWSEM_XCHGADD_ALGORITHM
 	bool
 	default n
 
+config ARCH_HAS_ILOG2_U32
+	bool
+	default n
+
+config ARCH_HAS_ILOG2_U64
+	bool
+	default n
+
 config GENERIC_FIND_NEXT_BIT
 	bool
 	default y

arch/m68k/Kconfig

@@ -17,6 +17,14 @@ config RWSEM_GENERIC_SPINLOCK
 config RWSEM_XCHGADD_ALGORITHM
 	bool
 
+config ARCH_HAS_ILOG2_U32
+	bool
+	default n
+
+config ARCH_HAS_ILOG2_U64
+	bool
+	default n
+
 config GENERIC_HWEIGHT
 	bool
 	default y

arch/m68knommu/Kconfig

@@ -25,6 +25,14 @@ config RWSEM_XCHGADD_ALGORITHM
 	bool
 	default n
 
+config ARCH_HAS_ILOG2_U32
+	bool
+	default n
+
+config ARCH_HAS_ILOG2_U64
+	bool
+	default n
+
 config GENERIC_FIND_NEXT_BIT
 	bool
 	default y

arch/mips/Kconfig

@@ -819,6 +819,14 @@ config RWSEM_GENERIC_SPINLOCK
 config RWSEM_XCHGADD_ALGORITHM
 	bool
 
+config ARCH_HAS_ILOG2_U32
+	bool
+	default n
+
+config ARCH_HAS_ILOG2_U64
+	bool
+	default n
+
 config GENERIC_FIND_NEXT_BIT
 	bool
 	default y

arch/parisc/Kconfig

@@ -25,6 +25,14 @@ config RWSEM_GENERIC_SPINLOCK
 config RWSEM_XCHGADD_ALGORITHM
 	bool
 
+config ARCH_HAS_ILOG2_U32
+	bool
+	default n
+
+config ARCH_HAS_ILOG2_U64
+	bool
+	default n
+
 config GENERIC_FIND_NEXT_BIT
 	bool
 	default y

arch/powerpc/Kconfig

@@ -41,6 +41,14 @@ config RWSEM_XCHGADD_ALGORITHM
 	bool
 	default y
 
+config ARCH_HAS_ILOG2_U32
+	bool
+	default n
+
+config ARCH_HAS_ILOG2_U64
+	bool
+	default n
+
 config GENERIC_HWEIGHT
 	bool
 	default y

arch/ppc/Kconfig

@@ -19,6 +19,14 @@ config RWSEM_XCHGADD_ALGORITHM
 	bool
 	default y
 
+config ARCH_HAS_ILOG2_U32
+	bool
+	default y
+
+config ARCH_HAS_ILOG2_U64
+	bool
+	default n
+
 config GENERIC_HWEIGHT
 	bool
 	default y

arch/s390/Kconfig

@@ -22,6 +22,14 @@ config RWSEM_XCHGADD_ALGORITHM
 	bool
 	default y
 
+config ARCH_HAS_ILOG2_U32
+	bool
+	default n
+
+config ARCH_HAS_ILOG2_U64
+	bool
+	default n
+
 config GENERIC_HWEIGHT
 	bool
 	default y

arch/sh/Kconfig

@@ -59,6 +59,14 @@ config LOCKDEP_SUPPORT
 	bool
 	default y
 
+config ARCH_HAS_ILOG2_U32
+	bool
+	default n
+
+config ARCH_HAS_ILOG2_U64
+	bool
+	default n
+
 source "init/Kconfig"
 
 menu "System type"

arch/sh64/Kconfig

@@ -39,6 +39,14 @@ config RWSEM_XCHGADD_ALGORITHM
 config GENERIC_ISA_DMA
 	bool
 
+config ARCH_HAS_ILOG2_U32
+	bool
+	default n
+
+config ARCH_HAS_ILOG2_U64
+	bool
+	default n
+
 source init/Kconfig
 
 menu "System type"

arch/sparc/Kconfig

@@ -166,6 +166,14 @@ config ARCH_MAY_HAVE_PC_FDC
 	bool
 	default y
 
+config ARCH_HAS_ILOG2_U32
+	bool
+	default n
+
+config ARCH_HAS_ILOG2_U64
+	bool
+	default n
+
 config SUN_PM
 	bool
 	default y

arch/sparc64/Kconfig

@@ -34,6 +34,14 @@ config ARCH_MAY_HAVE_PC_FDC
 	bool
 	default y
 
+config ARCH_HAS_ILOG2_U32
+	bool
+	default n
+
+config ARCH_HAS_ILOG2_U64
+	bool
+	default n
+
 config AUDIT_ARCH
 	bool
 	default y

arch/v850/Kconfig

@@ -38,6 +38,14 @@ config TIME_LOW_RES
 	bool
 	default y
 
+config ARCH_HAS_ILOG2_U32
+	bool
+	default n
+
+config ARCH_HAS_ILOG2_U64
+	bool
+	default n
+
 # Turn off some random 386 crap that can affect device config
 config ISA
 	bool

arch/x86_64/Kconfig

@@ -101,6 +101,14 @@ config GENERIC_BUG
 	default y
 	depends on BUG
 
+config ARCH_HAS_ILOG2_U32
+	bool
+	default n
+
+config ARCH_HAS_ILOG2_U64
+	bool
+	default n
+
 source "init/Kconfig"
 
 

arch/xtensa/Kconfig

@@ -34,6 +34,14 @@ config GENERIC_HARDIRQS
 	bool
 	default y
 
+config ARCH_HAS_ILOG2_U32
+	bool
+	default n
+
+config ARCH_HAS_ILOG2_U64
+	bool
+	default n
+
 source "init/Kconfig"
 
 menu "Processor type and features"