[S390] __div64_32 for 31 bit.

The clocksource infrastructure introduced with commit
ad596171ed635c51a9eef829187af100cbf8dcf7 broke 31 bit s390.
The reason is that the do_div() primitive for 31 bit always
had a restriction: it could only divide an unsigned 64 bit
integer by an unsigned 31 bit integer. The clocksource code
now uses do_div() with a base value that has the most
significant bit set. The result is that clock->cycle_interval
has a funny value which causes the linux time to jump around
like mad.
The solution is "obvious": implement a proper __div64_32
function for 31 bit s390.

Signed-off-by: Martin Schwidefsky <schwidefsky@de.ibm.com>

2 files changed, 152 insertions, 0 deletions

diff --git a/arch/s390/lib/Makefile b/arch/s390/lib/Makefile
index c42ffedfdb49..b0cfa6c4883d 100644
--- a/arch/s390/lib/Makefile
+++ b/arch/s390/lib/Makefile
@@ -5,5 +5,6 @@
 EXTRA_AFLAGS := -traditional
 
 lib-y += delay.o string.o uaccess_std.o
+lib-$(CONFIG_32BIT) += div64.o
 lib-$(CONFIG_64BIT) += uaccess_mvcos.o
 lib-$(CONFIG_SMP) += spinlock.o
diff --git a/arch/s390/lib/div64.c b/arch/s390/lib/div64.c
new file mode 100644
index 000000000000..0481f3424a13
--- /dev/null
+++ b/arch/s390/lib/div64.c
@@ -0,0 +1,151 @@
+/*
+ *  arch/s390/lib/div64.c
+ *
+ *  __div64_32 implementation for 31 bit.
+ *
+ *    Copyright (C) IBM Corp. 2006
+ *    Author(s): Martin Schwidefsky (schwidefsky@de.ibm.com),
+ */
+
+#include <linux/types.h>
+#include <linux/module.h>
+
+#ifdef CONFIG_MARCH_G5
+
+/*
+ * Function to divide an unsigned 64 bit integer by an unsigned
+ * 31 bit integer using signed 64/32 bit division.
+ */
+static uint32_t __div64_31(uint64_t *n, uint32_t base)
+{
+        register uint32_t reg2 asm("2");
+        register uint32_t reg3 asm("3");
+        uint32_t *words = (uint32_t *) n;
+        uint32_t tmp;
+
+        /* Special case base==1, remainder = 0, quotient = n */
+        if (base == 1)
+                return 0;
+        /*
+         * Special case base==0 will cause a fixed point divide exception
+         * on the dr instruction and may not happen anyway. For the
+         * following calculation we can assume base > 1. The first
+         * signed 64 / 32 bit division with an upper half of 0 will
+         * give the correct upper half of the 64 bit quotient.
+         */
+        reg2 = 0UL;
+        reg3 = words[0];
+        asm volatile(
+                "       dr      %0,%2\n"
+                : "+d" (reg2), "+d" (reg3) : "d" (base) : "cc" );
+        words[0] = reg3;
+        reg3 = words[1];
+        /*
+         * To get the lower half of the 64 bit quotient and the 32 bit
+         * remainder we have to use a little trick. Since we only have
+         * a signed division the quotient can get too big. To avoid this
+         * the 64 bit dividend is halved, then the signed division will
+         * work. Afterwards the quotient and the remainder are doubled.
+         * If the last bit of the dividend has been one the remainder
+         * is increased by one then checked against the base. If the
+         * remainder has overflown subtract base and increase the
+         * quotient. Simple, no ?
+         */
+        asm volatile(
+                "       nr      %2,%1\n"
+                "       srdl    %0,1\n"
+                "       dr      %0,%3\n"
+                "       alr     %0,%0\n"
+                "       alr     %1,%1\n"
+                "       alr     %0,%2\n"
+                "       clr     %0,%3\n"
+                "       jl      0f\n"
+                "       slr     %0,%3\n"
+                "       alr     %1,%2\n"
+                "0:\n"
+                : "+d" (reg2), "+d" (reg3), "=d" (tmp)
+                : "d" (base), "2" (1UL) : "cc" );
+        words[1] = reg3;
+        return reg2;
+}
+
+/*
+ * Function to divide an unsigned 64 bit integer by an unsigned
+ * 32 bit integer using the unsigned 64/31 bit division.
+ */
+uint32_t __div64_32(uint64_t *n, uint32_t base)
+{
+        uint32_t r;
+
+        /*
+         * If the most significant bit of base is set, divide n by
+         * (base/2). That allows to use 64/31 bit division and gives a
+         * good approximation of the result: n = (base/2)*q + r. The
+         * result needs to be corrected with two simple transformations.
+         * If base is already < 2^31-1 __div64_31 can be used directly.
+         */
+        r = __div64_31(n, ((signed) base < 0) ? (base/2) : base);
+        if ((signed) base < 0) {
+                uint64_t q = *n;
+                /*
+                 * First transformation:
+                 * n = (base/2)*q + r
+                 *   = ((base/2)*2)*(q/2) + ((q&1) ? (base/2) : 0) + r
+                 * Since r < (base/2), r + (base/2) < base.
+                 * With q1 = (q/2) and r1 = r + ((q&1) ? (base/2) : 0)
+                 * n = ((base/2)*2)*q1 + r1 with r1 < base.
+                 */
+                if (q & 1)
+                        r += base/2;
+                q >>= 1;
+                /*
+                 * Second transformation. ((base/2)*2) could have lost the
+                 * last bit.
+                 * n = ((base/2)*2)*q1 + r1
+                 *   = base*q1 - ((base&1) ? q1 : 0) + r1
+                 */
+                if (base & 1) {
+                        int64_t rx = r - q;
+                        /*
+                         * base is >= 2^31. The worst case for the while
+                         * loop is n=2^64-1 base=2^31+1. That gives a
+                         * maximum for q=(2^64-1)/2^31 = 0x1ffffffff. Since
+                         * base >= 2^31 the loop is finished after a maximum
+                         * of three iterations.
+                         */
+                        while (rx < 0) {
+                                rx += base;
+                                q--;
+                        }
+                        r = rx;
+                }
+                *n = q;
+        }
+        return r;
+}
+
+#else /* MARCH_G5 */
+
+uint32_t __div64_32(uint64_t *n, uint32_t base)
+{
+        register uint32_t reg2 asm("2");
+        register uint32_t reg3 asm("3");
+        uint32_t *words = (uint32_t *) n;
+
+        reg2 = 0UL;
+        reg3 = words[0];
+        asm volatile(
+                "       dlr     %0,%2\n"
+                : "+d" (reg2), "+d" (reg3) : "d" (base) : "cc" );
+        words[0] = reg3;
+        reg3 = words[1];
+        asm volatile(
+                "       dlr     %0,%2\n"
+                : "+d" (reg2), "+d" (reg3) : "d" (base) : "cc" );
+        words[1] = reg3;
+        return reg2;
+}
+
+#endif /* MARCH_G5 */
+
+EXPORT_SYMBOL(__div64_32);