1 /**************************************************************************
3 * Copyright 2009 VMware, Inc.
6 * Permission is hereby granted, free of charge, to any person obtaining a
7 * copy of this software and associated documentation files (the
8 * "Software"), to deal in the Software without restriction, including
9 * without limitation the rights to use, copy, modify, merge, publish,
10 * distribute, sub license, and/or sell copies of the Software, and to
11 * permit persons to whom the Software is furnished to do so, subject to
12 * the following conditions:
14 * The above copyright notice and this permission notice (including the
15 * next paragraph) shall be included in all copies or substantial portions
18 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
19 * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
20 * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NON-INFRINGEMENT.
21 * IN NO EVENT SHALL VMWARE AND/OR ITS SUPPLIERS BE LIABLE FOR
22 * ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
23 * TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
24 * SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
26 **************************************************************************/
33 * LLVM IR doesn't support all basic arithmetic operations we care about (most
34 * notably min/max and saturated operations), and it is often necessary to
35 * resort machine-specific intrinsics directly. The functions here hide all
36 * these implementation details from the other modules.
38 * We also do simple expressions simplification here. Reasons are:
39 * - it is very easy given we have all necessary information readily available
40 * - LLVM optimization passes fail to simplify several vector expressions
41 * - We often know value constraints which the optimization passes have no way
42 * of knowing, such as when source arguments are known to be in [0, 1] range.
44 * @author Jose Fonseca <jfonseca@vmware.com>
48 #include "util/u_memory.h"
49 #include "util/u_debug.h"
50 #include "util/u_math.h"
51 #include "util/u_string.h"
52 #include "util/u_cpu_detect.h"
54 #include "lp_bld_type.h"
55 #include "lp_bld_const.h"
56 #include "lp_bld_intr.h"
57 #include "lp_bld_logic.h"
58 #include "lp_bld_pack.h"
59 #include "lp_bld_arit.h"
64 * No checks for special case values of a or b = 1 or 0 are done.
67 lp_build_min_simple(struct lp_build_context
*bld
,
71 const struct lp_type type
= bld
->type
;
72 const char *intrinsic
= NULL
;
75 /* TODO: optimize the constant case */
77 if(type
.width
* type
.length
== 128) {
79 if(type
.width
== 32 && util_cpu_caps
.has_sse
)
80 intrinsic
= "llvm.x86.sse.min.ps";
81 if(type
.width
== 64 && util_cpu_caps
.has_sse2
)
82 intrinsic
= "llvm.x86.sse2.min.pd";
85 if(type
.width
== 8 && !type
.sign
&& util_cpu_caps
.has_sse2
)
86 intrinsic
= "llvm.x86.sse2.pminu.b";
87 if(type
.width
== 8 && type
.sign
&& util_cpu_caps
.has_sse4_1
)
88 intrinsic
= "llvm.x86.sse41.pminsb";
89 if(type
.width
== 16 && !type
.sign
&& util_cpu_caps
.has_sse4_1
)
90 intrinsic
= "llvm.x86.sse41.pminuw";
91 if(type
.width
== 16 && type
.sign
&& util_cpu_caps
.has_sse2
)
92 intrinsic
= "llvm.x86.sse2.pmins.w";
93 if(type
.width
== 32 && !type
.sign
&& util_cpu_caps
.has_sse4_1
)
94 intrinsic
= "llvm.x86.sse41.pminud";
95 if(type
.width
== 32 && type
.sign
&& util_cpu_caps
.has_sse4_1
)
96 intrinsic
= "llvm.x86.sse41.pminsd";
101 return lp_build_intrinsic_binary(bld
->builder
, intrinsic
, lp_build_vec_type(bld
->type
), a
, b
);
103 cond
= lp_build_cmp(bld
, PIPE_FUNC_LESS
, a
, b
);
104 return lp_build_select(bld
, cond
, a
, b
);
110 * No checks for special case values of a or b = 1 or 0 are done.
113 lp_build_max_simple(struct lp_build_context
*bld
,
117 const struct lp_type type
= bld
->type
;
118 const char *intrinsic
= NULL
;
121 /* TODO: optimize the constant case */
123 if(type
.width
* type
.length
== 128) {
125 if(type
.width
== 32 && util_cpu_caps
.has_sse
)
126 intrinsic
= "llvm.x86.sse.max.ps";
127 if(type
.width
== 64 && util_cpu_caps
.has_sse2
)
128 intrinsic
= "llvm.x86.sse2.max.pd";
131 if(type
.width
== 8 && !type
.sign
&& util_cpu_caps
.has_sse2
)
132 intrinsic
= "llvm.x86.sse2.pmaxu.b";
133 if(type
.width
== 8 && type
.sign
&& util_cpu_caps
.has_sse4_1
)
134 intrinsic
= "llvm.x86.sse41.pmaxsb";
135 if(type
.width
== 16 && !type
.sign
&& util_cpu_caps
.has_sse4_1
)
136 intrinsic
= "llvm.x86.sse41.pmaxuw";
137 if(type
.width
== 16 && type
.sign
&& util_cpu_caps
.has_sse2
)
138 intrinsic
= "llvm.x86.sse2.pmaxs.w";
139 if(type
.width
== 32 && !type
.sign
&& util_cpu_caps
.has_sse4_1
)
140 intrinsic
= "llvm.x86.sse41.pmaxud";
141 if(type
.width
== 32 && type
.sign
&& util_cpu_caps
.has_sse4_1
)
142 intrinsic
= "llvm.x86.sse41.pmaxsd";
147 return lp_build_intrinsic_binary(bld
->builder
, intrinsic
, lp_build_vec_type(bld
->type
), a
, b
);
149 cond
= lp_build_cmp(bld
, PIPE_FUNC_GREATER
, a
, b
);
150 return lp_build_select(bld
, cond
, a
, b
);
155 * Generate 1 - a, or ~a depending on bld->type.
158 lp_build_comp(struct lp_build_context
*bld
,
161 const struct lp_type type
= bld
->type
;
168 if(type
.norm
&& !type
.floating
&& !type
.fixed
&& !type
.sign
) {
169 if(LLVMIsConstant(a
))
170 return LLVMConstNot(a
);
172 return LLVMBuildNot(bld
->builder
, a
, "");
175 if(LLVMIsConstant(a
))
176 return LLVMConstSub(bld
->one
, a
);
178 return LLVMBuildSub(bld
->builder
, bld
->one
, a
, "");
186 lp_build_add(struct lp_build_context
*bld
,
190 const struct lp_type type
= bld
->type
;
197 if(a
== bld
->undef
|| b
== bld
->undef
)
201 const char *intrinsic
= NULL
;
203 if(a
== bld
->one
|| b
== bld
->one
)
206 if(util_cpu_caps
.has_sse2
&&
207 type
.width
* type
.length
== 128 &&
208 !type
.floating
&& !type
.fixed
) {
210 intrinsic
= type
.sign
? "llvm.x86.sse2.padds.b" : "llvm.x86.sse2.paddus.b";
212 intrinsic
= type
.sign
? "llvm.x86.sse2.padds.w" : "llvm.x86.sse2.paddus.w";
216 return lp_build_intrinsic_binary(bld
->builder
, intrinsic
, lp_build_vec_type(bld
->type
), a
, b
);
219 if(LLVMIsConstant(a
) && LLVMIsConstant(b
))
220 res
= LLVMConstAdd(a
, b
);
222 res
= LLVMBuildAdd(bld
->builder
, a
, b
, "");
224 /* clamp to ceiling of 1.0 */
225 if(bld
->type
.norm
&& (bld
->type
.floating
|| bld
->type
.fixed
))
226 res
= lp_build_min_simple(bld
, res
, bld
->one
);
228 /* XXX clamp to floor of -1 or 0??? */
238 lp_build_sub(struct lp_build_context
*bld
,
242 const struct lp_type type
= bld
->type
;
247 if(a
== bld
->undef
|| b
== bld
->undef
)
253 const char *intrinsic
= NULL
;
258 if(util_cpu_caps
.has_sse2
&&
259 type
.width
* type
.length
== 128 &&
260 !type
.floating
&& !type
.fixed
) {
262 intrinsic
= type
.sign
? "llvm.x86.sse2.psubs.b" : "llvm.x86.sse2.psubus.b";
264 intrinsic
= type
.sign
? "llvm.x86.sse2.psubs.w" : "llvm.x86.sse2.psubus.w";
268 return lp_build_intrinsic_binary(bld
->builder
, intrinsic
, lp_build_vec_type(bld
->type
), a
, b
);
271 if(LLVMIsConstant(a
) && LLVMIsConstant(b
))
272 res
= LLVMConstSub(a
, b
);
274 res
= LLVMBuildSub(bld
->builder
, a
, b
, "");
276 if(bld
->type
.norm
&& (bld
->type
.floating
|| bld
->type
.fixed
))
277 res
= lp_build_max_simple(bld
, res
, bld
->zero
);
284 * Normalized 8bit multiplication.
288 * makes the following approximation to the division (Sree)
290 * a*b/255 ~= (a*(b + 1)) >> 256
292 * which is the fastest method that satisfies the following OpenGL criteria
294 * 0*0 = 0 and 255*255 = 255
298 * takes the geometric series approximation to the division
300 * t/255 = (t >> 8) + (t >> 16) + (t >> 24) ..
302 * in this case just the first two terms to fit in 16bit arithmetic
304 * t/255 ~= (t + (t >> 8)) >> 8
306 * note that just by itself it doesn't satisfies the OpenGL criteria, as
307 * 255*255 = 254, so the special case b = 255 must be accounted or roundoff
310 * - geometric series plus rounding
312 * when using a geometric series division instead of truncating the result
313 * use roundoff in the approximation (Jim Blinn)
315 * t/255 ~= (t + (t >> 8) + 0x80) >> 8
317 * achieving the exact results
319 * @sa Alvy Ray Smith, Image Compositing Fundamentals, Tech Memo 4, Aug 15, 1995,
320 * ftp://ftp.alvyray.com/Acrobat/4_Comp.pdf
321 * @sa Michael Herf, The "double blend trick", May 2000,
322 * http://www.stereopsis.com/doubleblend.html
325 lp_build_mul_u8n(LLVMBuilderRef builder
,
326 struct lp_type i16_type
,
327 LLVMValueRef a
, LLVMValueRef b
)
332 c8
= lp_build_int_const_scalar(i16_type
, 8);
336 /* a*b/255 ~= (a*(b + 1)) >> 256 */
337 b
= LLVMBuildAdd(builder
, b
, lp_build_int_const_scalar(i16_type
, 1), "");
338 ab
= LLVMBuildMul(builder
, a
, b
, "");
342 /* ab/255 ~= (ab + (ab >> 8) + 0x80) >> 8 */
343 ab
= LLVMBuildMul(builder
, a
, b
, "");
344 ab
= LLVMBuildAdd(builder
, ab
, LLVMBuildLShr(builder
, ab
, c8
, ""), "");
345 ab
= LLVMBuildAdd(builder
, ab
, lp_build_int_const_scalar(i16_type
, 0x80), "");
349 ab
= LLVMBuildLShr(builder
, ab
, c8
, "");
359 lp_build_mul(struct lp_build_context
*bld
,
363 const struct lp_type type
= bld
->type
;
375 if(a
== bld
->undef
|| b
== bld
->undef
)
378 if(!type
.floating
&& !type
.fixed
&& type
.norm
) {
379 if(type
.width
== 8) {
380 struct lp_type i16_type
= lp_wider_type(type
);
381 LLVMValueRef al
, ah
, bl
, bh
, abl
, abh
, ab
;
383 lp_build_unpack2(bld
->builder
, type
, i16_type
, a
, &al
, &ah
);
384 lp_build_unpack2(bld
->builder
, type
, i16_type
, b
, &bl
, &bh
);
386 /* PMULLW, PSRLW, PADDW */
387 abl
= lp_build_mul_u8n(bld
->builder
, i16_type
, al
, bl
);
388 abh
= lp_build_mul_u8n(bld
->builder
, i16_type
, ah
, bh
);
390 ab
= lp_build_pack2(bld
->builder
, i16_type
, type
, abl
, abh
);
400 shift
= lp_build_int_const_scalar(type
, type
.width
/2);
404 if(LLVMIsConstant(a
) && LLVMIsConstant(b
)) {
405 res
= LLVMConstMul(a
, b
);
408 res
= LLVMConstAShr(res
, shift
);
410 res
= LLVMConstLShr(res
, shift
);
414 res
= LLVMBuildMul(bld
->builder
, a
, b
, "");
417 res
= LLVMBuildAShr(bld
->builder
, res
, shift
, "");
419 res
= LLVMBuildLShr(bld
->builder
, res
, shift
, "");
428 * Small vector x scale multiplication optimization.
431 lp_build_mul_imm(struct lp_build_context
*bld
,
444 return LLVMBuildNeg(bld
->builder
, a
, "");
446 if(b
== 2 && bld
->type
.floating
)
447 return lp_build_add(bld
, a
, a
);
450 unsigned shift
= ffs(b
) - 1;
452 if(bld
->type
.floating
) {
455 * Power of two multiplication by directly manipulating the mantissa.
457 * XXX: This might not be always faster, it will introduce a small error
458 * for multiplication by zero, and it will produce wrong results
461 unsigned mantissa
= lp_mantissa(bld
->type
);
462 factor
= lp_build_int_const_scalar(bld
->type
, (unsigned long long)shift
<< mantissa
);
463 a
= LLVMBuildBitCast(bld
->builder
, a
, lp_build_int_vec_type(bld
->type
), "");
464 a
= LLVMBuildAdd(bld
->builder
, a
, factor
, "");
465 a
= LLVMBuildBitCast(bld
->builder
, a
, lp_build_vec_type(bld
->type
), "");
470 factor
= lp_build_const_scalar(bld
->type
, shift
);
471 return LLVMBuildShl(bld
->builder
, a
, factor
, "");
475 factor
= lp_build_const_scalar(bld
->type
, (double)b
);
476 return lp_build_mul(bld
, a
, factor
);
484 lp_build_div(struct lp_build_context
*bld
,
488 const struct lp_type type
= bld
->type
;
493 return lp_build_rcp(bld
, b
);
498 if(a
== bld
->undef
|| b
== bld
->undef
)
501 if(LLVMIsConstant(a
) && LLVMIsConstant(b
))
502 return LLVMConstFDiv(a
, b
);
504 if(util_cpu_caps
.has_sse
&& type
.width
== 32 && type
.length
== 4)
505 return lp_build_mul(bld
, a
, lp_build_rcp(bld
, b
));
507 return LLVMBuildFDiv(bld
->builder
, a
, b
, "");
512 * Linear interpolation.
514 * This also works for integer values with a few caveats.
516 * @sa http://www.stereopsis.com/doubleblend.html
519 lp_build_lerp(struct lp_build_context
*bld
,
527 delta
= lp_build_sub(bld
, v1
, v0
);
529 res
= lp_build_mul(bld
, x
, delta
);
531 res
= lp_build_add(bld
, v0
, res
);
534 /* XXX: This step is necessary for lerping 8bit colors stored on 16bits,
535 * but it will be wrong for other uses. Basically we need a more
536 * powerful lp_type, capable of further distinguishing the values
537 * interpretation from the value storage. */
538 res
= LLVMBuildAnd(bld
->builder
, res
, lp_build_int_const_scalar(bld
->type
, (1 << bld
->type
.width
/2) - 1), "");
545 lp_build_lerp_2d(struct lp_build_context
*bld
,
553 LLVMValueRef v0
= lp_build_lerp(bld
, x
, v00
, v01
);
554 LLVMValueRef v1
= lp_build_lerp(bld
, x
, v10
, v11
);
555 return lp_build_lerp(bld
, y
, v0
, v1
);
561 * Do checks for special cases.
564 lp_build_min(struct lp_build_context
*bld
,
568 if(a
== bld
->undef
|| b
== bld
->undef
)
575 if(a
== bld
->zero
|| b
== bld
->zero
)
583 return lp_build_min_simple(bld
, a
, b
);
589 * Do checks for special cases.
592 lp_build_max(struct lp_build_context
*bld
,
596 if(a
== bld
->undef
|| b
== bld
->undef
)
603 if(a
== bld
->one
|| b
== bld
->one
)
611 return lp_build_max_simple(bld
, a
, b
);
619 lp_build_abs(struct lp_build_context
*bld
,
622 const struct lp_type type
= bld
->type
;
623 LLVMTypeRef vec_type
= lp_build_vec_type(type
);
629 /* Mask out the sign bit */
630 LLVMTypeRef int_vec_type
= lp_build_int_vec_type(type
);
631 unsigned long absMask
= ~(1 << (type
.width
- 1));
632 LLVMValueRef mask
= lp_build_int_const_scalar(type
, ((unsigned long long) absMask
));
633 a
= LLVMBuildBitCast(bld
->builder
, a
, int_vec_type
, "");
634 a
= LLVMBuildAnd(bld
->builder
, a
, mask
, "");
635 a
= LLVMBuildBitCast(bld
->builder
, a
, vec_type
, "");
639 if(type
.width
*type
.length
== 128 && util_cpu_caps
.has_ssse3
) {
642 return lp_build_intrinsic_unary(bld
->builder
, "llvm.x86.ssse3.pabs.b.128", vec_type
, a
);
644 return lp_build_intrinsic_unary(bld
->builder
, "llvm.x86.ssse3.pabs.w.128", vec_type
, a
);
646 return lp_build_intrinsic_unary(bld
->builder
, "llvm.x86.ssse3.pabs.d.128", vec_type
, a
);
650 return lp_build_max(bld
, a
, LLVMBuildNeg(bld
->builder
, a
, ""));
655 lp_build_sgn(struct lp_build_context
*bld
,
658 const struct lp_type type
= bld
->type
;
659 LLVMTypeRef vec_type
= lp_build_vec_type(type
);
663 /* Handle non-zero case */
665 /* if not zero then sign must be positive */
668 else if(type
.floating
) {
669 /* Take the sign bit and add it to 1 constant */
670 LLVMTypeRef int_vec_type
= lp_build_int_vec_type(type
);
671 LLVMValueRef mask
= lp_build_int_const_scalar(type
, (unsigned long long)1 << (type
.width
- 1));
674 sign
= LLVMBuildBitCast(bld
->builder
, a
, int_vec_type
, "");
675 sign
= LLVMBuildAnd(bld
->builder
, sign
, mask
, "");
676 one
= LLVMConstBitCast(bld
->one
, int_vec_type
);
677 res
= LLVMBuildOr(bld
->builder
, sign
, one
, "");
678 res
= LLVMBuildBitCast(bld
->builder
, res
, vec_type
, "");
682 LLVMValueRef minus_one
= lp_build_const_scalar(type
, -1.0);
683 cond
= lp_build_cmp(bld
, PIPE_FUNC_GREATER
, a
, bld
->zero
);
684 res
= lp_build_select(bld
, cond
, bld
->one
, minus_one
);
688 cond
= lp_build_cmp(bld
, PIPE_FUNC_EQUAL
, a
, bld
->zero
);
689 res
= lp_build_select(bld
, cond
, bld
->zero
, bld
->one
);
695 enum lp_build_round_sse41_mode
697 LP_BUILD_ROUND_SSE41_NEAREST
= 0,
698 LP_BUILD_ROUND_SSE41_FLOOR
= 1,
699 LP_BUILD_ROUND_SSE41_CEIL
= 2,
700 LP_BUILD_ROUND_SSE41_TRUNCATE
= 3
704 static INLINE LLVMValueRef
705 lp_build_round_sse41(struct lp_build_context
*bld
,
707 enum lp_build_round_sse41_mode mode
)
709 const struct lp_type type
= bld
->type
;
710 LLVMTypeRef vec_type
= lp_build_vec_type(type
);
711 const char *intrinsic
;
713 assert(type
.floating
);
714 assert(type
.width
*type
.length
== 128);
715 assert(lp_check_value(type
, a
));
716 assert(util_cpu_caps
.has_sse4_1
);
720 intrinsic
= "llvm.x86.sse41.round.ps";
723 intrinsic
= "llvm.x86.sse41.round.pd";
730 return lp_build_intrinsic_binary(bld
->builder
, intrinsic
, vec_type
, a
,
731 LLVMConstInt(LLVMInt32Type(), mode
, 0));
736 lp_build_trunc(struct lp_build_context
*bld
,
739 const struct lp_type type
= bld
->type
;
741 assert(type
.floating
);
742 assert(lp_check_value(type
, a
));
744 if(util_cpu_caps
.has_sse4_1
)
745 return lp_build_round_sse41(bld
, a
, LP_BUILD_ROUND_SSE41_TRUNCATE
);
747 LLVMTypeRef vec_type
= lp_build_vec_type(type
);
748 LLVMTypeRef int_vec_type
= lp_build_int_vec_type(type
);
750 res
= LLVMBuildFPToSI(bld
->builder
, a
, int_vec_type
, "");
751 res
= LLVMBuildSIToFP(bld
->builder
, res
, vec_type
, "");
758 lp_build_round(struct lp_build_context
*bld
,
761 const struct lp_type type
= bld
->type
;
763 assert(type
.floating
);
764 assert(lp_check_value(type
, a
));
766 if(util_cpu_caps
.has_sse4_1
)
767 return lp_build_round_sse41(bld
, a
, LP_BUILD_ROUND_SSE41_NEAREST
);
769 LLVMTypeRef vec_type
= lp_build_vec_type(type
);
771 res
= lp_build_iround(bld
, a
);
772 res
= LLVMBuildSIToFP(bld
->builder
, res
, vec_type
, "");
779 lp_build_floor(struct lp_build_context
*bld
,
782 const struct lp_type type
= bld
->type
;
784 assert(type
.floating
);
786 if(util_cpu_caps
.has_sse4_1
)
787 return lp_build_round_sse41(bld
, a
, LP_BUILD_ROUND_SSE41_FLOOR
);
789 LLVMTypeRef vec_type
= lp_build_vec_type(type
);
791 res
= lp_build_ifloor(bld
, a
);
792 res
= LLVMBuildSIToFP(bld
->builder
, res
, vec_type
, "");
799 lp_build_ceil(struct lp_build_context
*bld
,
802 const struct lp_type type
= bld
->type
;
804 assert(type
.floating
);
805 assert(lp_check_value(type
, a
));
807 if(util_cpu_caps
.has_sse4_1
)
808 return lp_build_round_sse41(bld
, a
, LP_BUILD_ROUND_SSE41_CEIL
);
810 LLVMTypeRef vec_type
= lp_build_vec_type(type
);
812 res
= lp_build_iceil(bld
, a
);
813 res
= LLVMBuildSIToFP(bld
->builder
, res
, vec_type
, "");
820 * Convert to integer, through whichever rounding method that's fastest,
821 * typically truncating to zero.
824 lp_build_itrunc(struct lp_build_context
*bld
,
827 const struct lp_type type
= bld
->type
;
828 LLVMTypeRef int_vec_type
= lp_build_int_vec_type(type
);
830 assert(type
.floating
);
831 assert(lp_check_value(type
, a
));
833 return LLVMBuildFPToSI(bld
->builder
, a
, int_vec_type
, "");
838 lp_build_iround(struct lp_build_context
*bld
,
841 const struct lp_type type
= bld
->type
;
842 LLVMTypeRef int_vec_type
= lp_build_int_vec_type(type
);
845 assert(type
.floating
);
846 assert(lp_check_value(type
, a
));
848 if(util_cpu_caps
.has_sse4_1
) {
849 res
= lp_build_round_sse41(bld
, a
, LP_BUILD_ROUND_SSE41_NEAREST
);
852 LLVMTypeRef vec_type
= lp_build_vec_type(type
);
853 LLVMValueRef mask
= lp_build_int_const_scalar(type
, (unsigned long long)1 << (type
.width
- 1));
858 sign
= LLVMBuildBitCast(bld
->builder
, a
, int_vec_type
, "");
859 sign
= LLVMBuildAnd(bld
->builder
, sign
, mask
, "");
862 half
= lp_build_const_scalar(type
, 0.5);
863 half
= LLVMBuildBitCast(bld
->builder
, half
, int_vec_type
, "");
864 half
= LLVMBuildOr(bld
->builder
, sign
, half
, "");
865 half
= LLVMBuildBitCast(bld
->builder
, half
, vec_type
, "");
867 res
= LLVMBuildAdd(bld
->builder
, a
, half
, "");
870 res
= LLVMBuildFPToSI(bld
->builder
, res
, int_vec_type
, "");
877 lp_build_ifloor(struct lp_build_context
*bld
,
880 const struct lp_type type
= bld
->type
;
881 LLVMTypeRef int_vec_type
= lp_build_int_vec_type(type
);
884 assert(type
.floating
);
885 assert(lp_check_value(type
, a
));
887 if(util_cpu_caps
.has_sse4_1
) {
888 res
= lp_build_round_sse41(bld
, a
, LP_BUILD_ROUND_SSE41_FLOOR
);
891 /* Take the sign bit and add it to 1 constant */
892 LLVMTypeRef vec_type
= lp_build_vec_type(type
);
893 unsigned mantissa
= lp_mantissa(type
);
894 LLVMValueRef mask
= lp_build_int_const_scalar(type
, (unsigned long long)1 << (type
.width
- 1));
898 /* sign = a < 0 ? ~0 : 0 */
899 sign
= LLVMBuildBitCast(bld
->builder
, a
, int_vec_type
, "");
900 sign
= LLVMBuildAnd(bld
->builder
, sign
, mask
, "");
901 sign
= LLVMBuildAShr(bld
->builder
, sign
, lp_build_int_const_scalar(type
, type
.width
- 1), "");
903 /* offset = -0.99999(9)f */
904 offset
= lp_build_const_scalar(type
, -(double)(((unsigned long long)1 << mantissa
) - 1)/((unsigned long long)1 << mantissa
));
905 offset
= LLVMConstBitCast(offset
, int_vec_type
);
907 /* offset = a < 0 ? -0.99999(9)f : 0.0f */
908 offset
= LLVMBuildAnd(bld
->builder
, offset
, sign
, "");
909 offset
= LLVMBuildBitCast(bld
->builder
, offset
, vec_type
, "");
911 res
= LLVMBuildAdd(bld
->builder
, a
, offset
, "");
914 res
= LLVMBuildFPToSI(bld
->builder
, res
, int_vec_type
, "");
921 lp_build_iceil(struct lp_build_context
*bld
,
924 const struct lp_type type
= bld
->type
;
925 LLVMTypeRef int_vec_type
= lp_build_int_vec_type(type
);
928 assert(type
.floating
);
929 assert(lp_check_value(type
, a
));
931 if(util_cpu_caps
.has_sse4_1
) {
932 res
= lp_build_round_sse41(bld
, a
, LP_BUILD_ROUND_SSE41_CEIL
);
939 res
= LLVMBuildFPToSI(bld
->builder
, res
, int_vec_type
, "");
946 lp_build_sqrt(struct lp_build_context
*bld
,
949 const struct lp_type type
= bld
->type
;
950 LLVMTypeRef vec_type
= lp_build_vec_type(type
);
953 /* TODO: optimize the constant case */
954 /* TODO: optimize the constant case */
956 assert(type
.floating
);
957 util_snprintf(intrinsic
, sizeof intrinsic
, "llvm.sqrt.v%uf%u", type
.length
, type
.width
);
959 return lp_build_intrinsic_unary(bld
->builder
, intrinsic
, vec_type
, a
);
964 lp_build_rcp(struct lp_build_context
*bld
,
967 const struct lp_type type
= bld
->type
;
976 assert(type
.floating
);
978 if(LLVMIsConstant(a
))
979 return LLVMConstFDiv(bld
->one
, a
);
981 if(util_cpu_caps
.has_sse
&& type
.width
== 32 && type
.length
== 4)
982 /* FIXME: improve precision */
983 return lp_build_intrinsic_unary(bld
->builder
, "llvm.x86.sse.rcp.ps", lp_build_vec_type(type
), a
);
985 return LLVMBuildFDiv(bld
->builder
, bld
->one
, a
, "");
993 lp_build_rsqrt(struct lp_build_context
*bld
,
996 const struct lp_type type
= bld
->type
;
998 assert(type
.floating
);
1000 if(util_cpu_caps
.has_sse
&& type
.width
== 32 && type
.length
== 4)
1001 return lp_build_intrinsic_unary(bld
->builder
, "llvm.x86.sse.rsqrt.ps", lp_build_vec_type(type
), a
);
1003 return lp_build_rcp(bld
, lp_build_sqrt(bld
, a
));
1011 lp_build_cos(struct lp_build_context
*bld
,
1014 const struct lp_type type
= bld
->type
;
1015 LLVMTypeRef vec_type
= lp_build_vec_type(type
);
1018 /* TODO: optimize the constant case */
1020 assert(type
.floating
);
1021 util_snprintf(intrinsic
, sizeof intrinsic
, "llvm.cos.v%uf%u", type
.length
, type
.width
);
1023 return lp_build_intrinsic_unary(bld
->builder
, intrinsic
, vec_type
, a
);
1031 lp_build_sin(struct lp_build_context
*bld
,
1034 const struct lp_type type
= bld
->type
;
1035 LLVMTypeRef vec_type
= lp_build_vec_type(type
);
1038 /* TODO: optimize the constant case */
1040 assert(type
.floating
);
1041 util_snprintf(intrinsic
, sizeof intrinsic
, "llvm.sin.v%uf%u", type
.length
, type
.width
);
1043 return lp_build_intrinsic_unary(bld
->builder
, intrinsic
, vec_type
, a
);
1048 * Generate pow(x, y)
1051 lp_build_pow(struct lp_build_context
*bld
,
1055 /* TODO: optimize the constant case */
1056 if(LLVMIsConstant(x
) && LLVMIsConstant(y
))
1057 debug_printf("%s: inefficient/imprecise constant arithmetic\n",
1060 return lp_build_exp2(bld
, lp_build_mul(bld
, lp_build_log2(bld
, x
), y
));
1068 lp_build_exp(struct lp_build_context
*bld
,
1071 /* log2(e) = 1/log(2) */
1072 LLVMValueRef log2e
= lp_build_const_scalar(bld
->type
, 1.4426950408889634);
1074 return lp_build_mul(bld
, log2e
, lp_build_exp2(bld
, x
));
1082 lp_build_log(struct lp_build_context
*bld
,
1086 LLVMValueRef log2
= lp_build_const_scalar(bld
->type
, 0.69314718055994529);
1088 return lp_build_mul(bld
, log2
, lp_build_exp2(bld
, x
));
1092 #define EXP_POLY_DEGREE 3
1093 #define LOG_POLY_DEGREE 5
1097 * Generate polynomial.
1098 * Ex: coeffs[0] + x * coeffs[1] + x^2 * coeffs[2].
1101 lp_build_polynomial(struct lp_build_context
*bld
,
1103 const double *coeffs
,
1104 unsigned num_coeffs
)
1106 const struct lp_type type
= bld
->type
;
1107 LLVMValueRef res
= NULL
;
1110 /* TODO: optimize the constant case */
1111 if(LLVMIsConstant(x
))
1112 debug_printf("%s: inefficient/imprecise constant arithmetic\n",
1115 for (i
= num_coeffs
; i
--; ) {
1116 LLVMValueRef coeff
= lp_build_const_scalar(type
, coeffs
[i
]);
1118 res
= lp_build_add(bld
, coeff
, lp_build_mul(bld
, x
, res
));
1131 * Minimax polynomial fit of 2**x, in range [-0.5, 0.5[
1133 const double lp_build_exp2_polynomial
[] = {
1134 #if EXP_POLY_DEGREE == 5
1135 9.9999994e-1, 6.9315308e-1, 2.4015361e-1, 5.5826318e-2, 8.9893397e-3, 1.8775767e-3
1136 #elif EXP_POLY_DEGREE == 4
1137 1.0000026, 6.9300383e-1, 2.4144275e-1, 5.2011464e-2, 1.3534167e-2
1138 #elif EXP_POLY_DEGREE == 3
1139 9.9992520e-1, 6.9583356e-1, 2.2606716e-1, 7.8024521e-2
1140 #elif EXP_POLY_DEGREE == 2
1141 1.0017247, 6.5763628e-1, 3.3718944e-1
1149 lp_build_exp2_approx(struct lp_build_context
*bld
,
1151 LLVMValueRef
*p_exp2_int_part
,
1152 LLVMValueRef
*p_frac_part
,
1153 LLVMValueRef
*p_exp2
)
1155 const struct lp_type type
= bld
->type
;
1156 LLVMTypeRef vec_type
= lp_build_vec_type(type
);
1157 LLVMTypeRef int_vec_type
= lp_build_int_vec_type(type
);
1158 LLVMValueRef ipart
= NULL
;
1159 LLVMValueRef fpart
= NULL
;
1160 LLVMValueRef expipart
= NULL
;
1161 LLVMValueRef expfpart
= NULL
;
1162 LLVMValueRef res
= NULL
;
1164 if(p_exp2_int_part
|| p_frac_part
|| p_exp2
) {
1165 /* TODO: optimize the constant case */
1166 if(LLVMIsConstant(x
))
1167 debug_printf("%s: inefficient/imprecise constant arithmetic\n",
1170 assert(type
.floating
&& type
.width
== 32);
1172 x
= lp_build_min(bld
, x
, lp_build_const_scalar(type
, 129.0));
1173 x
= lp_build_max(bld
, x
, lp_build_const_scalar(type
, -126.99999));
1175 /* ipart = int(x - 0.5) */
1176 ipart
= LLVMBuildSub(bld
->builder
, x
, lp_build_const_scalar(type
, 0.5f
), "");
1177 ipart
= LLVMBuildFPToSI(bld
->builder
, ipart
, int_vec_type
, "");
1179 /* fpart = x - ipart */
1180 fpart
= LLVMBuildSIToFP(bld
->builder
, ipart
, vec_type
, "");
1181 fpart
= LLVMBuildSub(bld
->builder
, x
, fpart
, "");
1184 if(p_exp2_int_part
|| p_exp2
) {
1185 /* expipart = (float) (1 << ipart) */
1186 expipart
= LLVMBuildAdd(bld
->builder
, ipart
, lp_build_int_const_scalar(type
, 127), "");
1187 expipart
= LLVMBuildShl(bld
->builder
, expipart
, lp_build_int_const_scalar(type
, 23), "");
1188 expipart
= LLVMBuildBitCast(bld
->builder
, expipart
, vec_type
, "");
1192 expfpart
= lp_build_polynomial(bld
, fpart
, lp_build_exp2_polynomial
,
1193 Elements(lp_build_exp2_polynomial
));
1195 res
= LLVMBuildMul(bld
->builder
, expipart
, expfpart
, "");
1199 *p_exp2_int_part
= expipart
;
1202 *p_frac_part
= fpart
;
1210 lp_build_exp2(struct lp_build_context
*bld
,
1214 lp_build_exp2_approx(bld
, x
, NULL
, NULL
, &res
);
1220 * Minimax polynomial fit of log2(x)/(x - 1), for x in range [1, 2[
1221 * These coefficients can be generate with
1222 * http://www.boost.org/doc/libs/1_36_0/libs/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/minimax.html
1224 const double lp_build_log2_polynomial
[] = {
1225 #if LOG_POLY_DEGREE == 6
1226 3.11578814719469302614, -3.32419399085241980044, 2.59883907202499966007, -1.23152682416275988241, 0.318212422185251071475, -0.0344359067839062357313
1227 #elif LOG_POLY_DEGREE == 5
1228 2.8882704548164776201, -2.52074962577807006663, 1.48116647521213171641, -0.465725644288844778798, 0.0596515482674574969533
1229 #elif LOG_POLY_DEGREE == 4
1230 2.61761038894603480148, -1.75647175389045657003, 0.688243882994381274313, -0.107254423828329604454
1231 #elif LOG_POLY_DEGREE == 3
1232 2.28330284476918490682, -1.04913055217340124191, 0.204446009836232697516
1240 * See http://www.devmaster.net/forums/showthread.php?p=43580
1243 lp_build_log2_approx(struct lp_build_context
*bld
,
1245 LLVMValueRef
*p_exp
,
1246 LLVMValueRef
*p_floor_log2
,
1247 LLVMValueRef
*p_log2
)
1249 const struct lp_type type
= bld
->type
;
1250 LLVMTypeRef vec_type
= lp_build_vec_type(type
);
1251 LLVMTypeRef int_vec_type
= lp_build_int_vec_type(type
);
1253 LLVMValueRef expmask
= lp_build_int_const_scalar(type
, 0x7f800000);
1254 LLVMValueRef mantmask
= lp_build_int_const_scalar(type
, 0x007fffff);
1255 LLVMValueRef one
= LLVMConstBitCast(bld
->one
, int_vec_type
);
1257 LLVMValueRef i
= NULL
;
1258 LLVMValueRef exp
= NULL
;
1259 LLVMValueRef mant
= NULL
;
1260 LLVMValueRef logexp
= NULL
;
1261 LLVMValueRef logmant
= NULL
;
1262 LLVMValueRef res
= NULL
;
1264 if(p_exp
|| p_floor_log2
|| p_log2
) {
1265 /* TODO: optimize the constant case */
1266 if(LLVMIsConstant(x
))
1267 debug_printf("%s: inefficient/imprecise constant arithmetic\n",
1270 assert(type
.floating
&& type
.width
== 32);
1272 i
= LLVMBuildBitCast(bld
->builder
, x
, int_vec_type
, "");
1274 /* exp = (float) exponent(x) */
1275 exp
= LLVMBuildAnd(bld
->builder
, i
, expmask
, "");
1278 if(p_floor_log2
|| p_log2
) {
1279 logexp
= LLVMBuildLShr(bld
->builder
, exp
, lp_build_int_const_scalar(type
, 23), "");
1280 logexp
= LLVMBuildSub(bld
->builder
, logexp
, lp_build_int_const_scalar(type
, 127), "");
1281 logexp
= LLVMBuildSIToFP(bld
->builder
, logexp
, vec_type
, "");
1285 /* mant = (float) mantissa(x) */
1286 mant
= LLVMBuildAnd(bld
->builder
, i
, mantmask
, "");
1287 mant
= LLVMBuildOr(bld
->builder
, mant
, one
, "");
1288 mant
= LLVMBuildBitCast(bld
->builder
, mant
, vec_type
, "");
1290 logmant
= lp_build_polynomial(bld
, mant
, lp_build_log2_polynomial
,
1291 Elements(lp_build_log2_polynomial
));
1293 /* This effectively increases the polynomial degree by one, but ensures that log2(1) == 0*/
1294 logmant
= LLVMBuildMul(bld
->builder
, logmant
, LLVMBuildSub(bld
->builder
, mant
, bld
->one
, ""), "");
1296 res
= LLVMBuildAdd(bld
->builder
, logmant
, logexp
, "");
1303 *p_floor_log2
= logexp
;
1311 lp_build_log2(struct lp_build_context
*bld
,
1315 lp_build_log2_approx(bld
, x
, NULL
, NULL
, &res
);