[Patch v2 2/4] Replace i2f() in r600_blit_kms.c with an optimized version.

[Steven Fuerst]

We use __fls() to find the most significant bit.  Using that, the
loop can be avoided.  A second trick is to use the behaviour of the
rotate instructions to expand the range of the unsigned int to float
conversion to the full 32 bits in a branchless way.

The routine is now exact up to 2^24.  Above that, we truncate which
is equivalent to rounding towards zero.

Signed-off-by: Steven Fuerst <svfuerst at gmail.com>
---
 drivers/gpu/drm/radeon/r600_blit_kms.c |   51 +++++++++++++-------------------
 1 file changed, 21 insertions(+), 30 deletions(-)

diff --git a/drivers/gpu/drm/radeon/r600_blit_kms.c b/drivers/gpu/drm/radeon/r600_blit_kms.c
index 2bef854..e5a40ca 100644
--- a/drivers/gpu/drm/radeon/r600_blit_kms.c
+++ b/drivers/gpu/drm/radeon/r600_blit_kms.c
@@ -455,44 +455,35 @@ set_default_state(struct radeon_device *rdev)
 	radeon_ring_write(ring, sq_stack_resource_mgmt_2);
 }
 
-#define I2F_MAX_BITS 15
-#define I2F_MAX_INPUT  ((1 << I2F_MAX_BITS) - 1)
-#define I2F_SHIFT (24 - I2F_MAX_BITS)
+/* 23 bits of float fractional data */
+#define I2F_FRAC_BITS	23
+#define I2F_MASK ((1 << I2F_FRAC_BITS) - 1)
 
 /*
  * Converts unsigned integer into 32-bit IEEE floating point representation.
- * Conversion is not universal and only works for the range from 0
- * to 2^I2F_MAX_BITS-1. Currently we only use it with inputs between
- * 0 and 16384 (inclusive), so I2F_MAX_BITS=15 is enough. If necessary,
- * I2F_MAX_BITS can be increased, but that will add to the loop iterations
- * and slow us down. Conversion is done by shifting the input and counting
- * down until the first 1 reaches bit position 23. The resulting counter
- * and the shifted input are, respectively, the exponent and the fraction.
- * The sign is always zero.
+ * Will be exact from 0 to 2^24.  Above that, we round towards zero
+ * as the fractional bits will not fit in a float.  (It would be better to
+ * round towards even as the fpu does, but that is slower.)
  */
-static uint32_t i2f(uint32_t input)
+static uint32_t i2f(uint32_t x)
 {
-	u32 result, i, exponent, fraction;
+	uint32_t msb, exponent, fraction;
 
-	WARN_ON_ONCE(input > I2F_MAX_INPUT);
+	/* Zero is special */
+	if (!x) return 0;
 
-	if ((input & I2F_MAX_INPUT) == 0)
-		result = 0;
-	else {
-		exponent = 126 + I2F_MAX_BITS;
-		fraction = (input & I2F_MAX_INPUT) << I2F_SHIFT;
+	/* Get location of the most significant bit */
+	msb = __fls(x);
 
-		for (i = 0; i < I2F_MAX_BITS; i++) {
-			if (fraction & 0x800000)
-				break;
-			else {
-				fraction = fraction << 1;
-				exponent = exponent - 1;
-			}
-		}
-		result = exponent << 23 | (fraction & 0x7fffff);
-	}
-	return result;
+	/*
+	 * Use a rotate instead of a shift because that works both leftwards
+	 * and rightwards due to the mod(32) behaviour.  This means we don't
+	 * need to check to see if we are above 2^24 or not.
+	 */
+	fraction = ror32(x, (msb - I2F_FRAC_BITS) & 0x1f) & I2F_MASK;
+	exponent = (127 + msb) << I2F_FRAC_BITS;
+
+	return fraction + exponent;
 }
 
 int r600_blit_init(struct radeon_device *rdev)
-- 
1.7.10.4