LLVMTypeRef int_vec_type = lp_build_int_vec_type(src_type);
LLVMValueRef res;
unsigned mantissa;
- unsigned n;
- unsigned long long ubound;
- unsigned long long mask;
- double scale;
- double bias;
assert(src_type.floating);
+ assert(dst_width <= src_type.width);
+ src_type.sign = FALSE;
mantissa = lp_mantissa(src_type);
- /* We cannot carry more bits than the mantissa */
- n = MIN2(mantissa, dst_width);
+ if (dst_width <= mantissa) {
+ /*
+ * Apply magic coefficients that will make the desired result to appear
+ * in the lowest significant bits of the mantissa, with correct rounding.
+ *
+ * This only works if the destination width fits in the mantissa.
+ */
- /* This magic coefficients will make the desired result to appear in the
- * lowest significant bits of the mantissa.
- */
- ubound = ((unsigned long long)1 << n);
- mask = ubound - 1;
- scale = (double)mask/ubound;
- bias = (double)((unsigned long long)1 << (mantissa - n));
+ unsigned long long ubound;
+ unsigned long long mask;
+ double scale;
+ double bias;
+
+ ubound = (1ULL << dst_width);
+ mask = ubound - 1;
+ scale = (double)mask/ubound;
+ bias = (double)(1ULL << (mantissa - dst_width));
+
+ res = LLVMBuildFMul(builder, src, lp_build_const_vec(src_type, scale), "");
+ res = LLVMBuildFAdd(builder, res, lp_build_const_vec(src_type, bias), "");
+ res = LLVMBuildBitCast(builder, res, int_vec_type, "");
+ res = LLVMBuildAnd(builder, res, lp_build_const_int_vec(src_type, mask), "");
+ }
+ else if (dst_width == (mantissa + 1)) {
+ /*
+ * The destination width matches exactly what can be represented in
+ * floating point (i.e., mantissa + 1 bits). So do a straight
+ * multiplication followed by casting. No further rounding is necessary.
+ */
- res = LLVMBuildFMul(builder, src, lp_build_const_vec(src_type, scale), "");
- res = LLVMBuildFAdd(builder, res, lp_build_const_vec(src_type, bias), "");
- res = LLVMBuildBitCast(builder, res, int_vec_type, "");
+ double scale;
- if(dst_width > n) {
- int shift = dst_width - n;
- res = LLVMBuildShl(builder, res, lp_build_const_int_vec(src_type, shift), "");
+ scale = (double)((1ULL << dst_width) - 1);
- /* TODO: Fill in the empty lower bits for additional precision? */
- /* YES: this fixes progs/trivial/tri-z-eq.c.
- * Otherwise vertex Z=1.0 values get converted to something like
- * 0xfffffb00 and the test for equality with 0xffffffff fails.
+ res = LLVMBuildFMul(builder, src, lp_build_const_vec(src_type, scale), "");
+ res = LLVMBuildFPToSI(builder, res, int_vec_type, "");
+ }
+ else {
+ /*
+ * The destination exceeds what can be represented in the floating point.
+ * So multiply by the largest power two we get away with, and when
+ * subtract the most significant bit to rescale to normalized values.
+ *
+ * The largest power of two factor we can get away is
+ * (1 << (src_type.width - 1)), because we need to use signed . In theory it
+ * should be (1 << (src_type.width - 2)), but IEEE 754 rules states
+ * INT_MIN should be returned in FPToSI, which is the correct result for
+ * values near 1.0!
+ *
+ * This means we get (src_type.width - 1) correct bits for values near 0.0,
+ * and (mantissa + 1) correct bits for values near 1.0. Equally or more
+ * important, we also get exact results for 0.0 and 1.0.
*/
-#if 0
- {
- LLVMValueRef msb;
- msb = LLVMBuildLShr(builder, res, lp_build_const_int_vec(src_type, dst_width - 1), "");
- msb = LLVMBuildShl(builder, msb, lp_build_const_int_vec(src_type, shift), "");
- msb = LLVMBuildSub(builder, msb, lp_build_const_int_vec(src_type, 1), "");
- res = LLVMBuildOr(builder, res, msb, "");
- }
-#elif 0
- while(shift > 0) {
- res = LLVMBuildOr(builder, res, LLVMBuildLShr(builder, res, lp_build_const_int_vec(src_type, n), ""), "");
- shift -= n;
- n *= 2;
+
+ unsigned n = MIN2(src_type.width - 1, dst_width);
+
+ double scale = (double)(1ULL << n);
+ unsigned lshift = dst_width - n;
+ unsigned rshift = n;
+ LLVMValueRef lshifted;
+ LLVMValueRef rshifted;
+
+ res = LLVMBuildFMul(builder, src, lp_build_const_vec(src_type, scale), "");
+ res = LLVMBuildFPToSI(builder, res, int_vec_type, "");
+
+ /*
+ * Align the most significant bit to its final place.
+ *
+ * This will cause 1.0 to overflow to 0, but the later adjustment will
+ * get it right.
+ */
+ if (lshift) {
+ lshifted = LLVMBuildShl(builder, res,
+ lp_build_const_int_vec(src_type, lshift), "");
+ } else {
+ lshifted = res;
}
-#endif
+
+ /*
+ * Align the most significant bit to the right.
+ */
+ rshifted = LLVMBuildAShr(builder, res,
+ lp_build_const_int_vec(src_type, rshift), "");
+
+ /*
+ * Subtract the MSB to the LSB, therefore re-scaling from
+ * (1 << dst_width) to ((1 << dst_width) - 1).
+ */
+
+ res = LLVMBuildSub(builder, lshifted, rshifted, "");
}
- else
- res = LLVMBuildAnd(builder, res, lp_build_const_int_vec(src_type, mask), "");
return res;
}