;; Copyright (c) 2010-2011, Intel Corporation ;; All rights reserved. ;; ;; Redistribution and use in source and binary forms, with or without ;; modification, are permitted provided that the following conditions are ;; met: ;; ;; * Redistributions of source code must retain the above copyright ;; notice, this list of conditions and the following disclaimer. ;; ;; * Redistributions in binary form must reproduce the above copyright ;; notice, this list of conditions and the following disclaimer in the ;; documentation and/or other materials provided with the distribution. ;; ;; * Neither the name of Intel Corporation nor the names of its ;; contributors may be used to endorse or promote products derived from ;; this software without specific prior written permission. ;; ;; ;; THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS ;; IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED ;; TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A ;; PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER ;; OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, ;; EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, ;; PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR ;; PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF ;; LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ctlztz() define_prefetches() define_shuffles() aossoa() ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ;; rcp declare <4 x float> @llvm.x86.sse.rcp.ss(<4 x float>) nounwind readnone define float @__rcp_uniform_float(float) nounwind readonly alwaysinline { ; do the rcpss call %vecval = insertelement <4 x float> undef, float %0, i32 0 %call = call <4 x float> @llvm.x86.sse.rcp.ss(<4 x float> %vecval) %scall = extractelement <4 x float> %call, i32 0 ; do one N-R iteration to improve precision, as above %v_iv = fmul float %0, %scall %two_minus = fsub float 2., %v_iv %iv_mul = fmul float %scall, %two_minus ret float %iv_mul } ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ; rsqrt declare <4 x float> @llvm.x86.sse.rsqrt.ss(<4 x float>) nounwind readnone define float @__rsqrt_uniform_float(float) nounwind readonly alwaysinline { ; uniform float is = extract(__rsqrt_u(v), 0); %v = insertelement <4 x float> undef, float %0, i32 0 %vis = call <4 x float> @llvm.x86.sse.rsqrt.ss(<4 x float> %v) %is = extractelement <4 x float> %vis, i32 0 ; Newton-Raphson iteration to improve precision ; return 0.5 * is * (3. - (v * is) * is); %v_is = fmul float %0, %is %v_is_is = fmul float %v_is, %is %three_sub = fsub float 3., %v_is_is %is_mul = fmul float %is, %three_sub %half_scale = fmul float 0.5, %is_mul ret float %half_scale } ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ; sqrt declare <4 x float> @llvm.x86.sse.sqrt.ss(<4 x float>) nounwind readnone define float @__sqrt_uniform_float(float) nounwind readonly alwaysinline { sse_unary_scalar(ret, 4, float, @llvm.x86.sse.sqrt.ss, %0) ret float %ret } ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ;; fast math mode declare void @llvm.x86.sse.stmxcsr(i8 *) nounwind declare void @llvm.x86.sse.ldmxcsr(i8 *) nounwind define void @__fastmath() nounwind alwaysinline { %ptr = alloca i32 %ptr8 = bitcast i32 * %ptr to i8 * call void @llvm.x86.sse.stmxcsr(i8 * %ptr8) %oldval = load i32 *%ptr ; turn on DAZ (64)/FTZ (32768) -> 32832 %update = or i32 %oldval, 32832 store i32 %update, i32 *%ptr call void @llvm.x86.sse.ldmxcsr(i8 * %ptr8) ret void } ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ;; float min/max declare <4 x float> @llvm.x86.sse.max.ss(<4 x float>, <4 x float>) nounwind readnone declare <4 x float> @llvm.x86.sse.min.ss(<4 x float>, <4 x float>) nounwind readnone define float @__max_uniform_float(float, float) nounwind readonly alwaysinline { sse_binary_scalar(ret, 4, float, @llvm.x86.sse.max.ss, %0, %1) ret float %ret } define float @__min_uniform_float(float, float) nounwind readonly alwaysinline { sse_binary_scalar(ret, 4, float, @llvm.x86.sse.min.ss, %0, %1) ret float %ret } ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ;; double precision sqrt declare <2 x double> @llvm.x86.sse2.sqrt.sd(<2 x double>) nounwind readnone define double @__sqrt_uniform_double(double) nounwind alwaysinline { sse_unary_scalar(ret, 2, double, @llvm.x86.sse2.sqrt.sd, %0) ret double %ret } ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ;; double precision min/max declare <2 x double> @llvm.x86.sse2.max.sd(<2 x double>, <2 x double>) nounwind readnone declare <2 x double> @llvm.x86.sse2.min.sd(<2 x double>, <2 x double>) nounwind readnone define double @__min_uniform_double(double, double) nounwind readnone { sse_binary_scalar(ret, 2, double, @llvm.x86.sse2.min.sd, %0, %1) ret double %ret } define double @__max_uniform_double(double, double) nounwind readnone { sse_binary_scalar(ret, 2, double, @llvm.x86.sse2.max.sd, %0, %1) ret double %ret } ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ;; rounding ;; ;; There are not any rounding instructions in SSE2, so we have to emulate ;; the functionality with multiple instructions... ; The code for __round_* is the result of compiling the following source ; code. ; ; export float Round(float x) { ; unsigned int sign = signbits(x); ; unsigned int ix = intbits(x); ; ix ^= sign; ; x = floatbits(ix); ; x += 0x1.0p23f; ; x -= 0x1.0p23f; ; ix = intbits(x); ; ix ^= sign; ; x = floatbits(ix); ; return x; ;} define float @__round_uniform_float(float) nounwind readonly alwaysinline { %float_to_int_bitcast.i.i.i.i = bitcast float %0 to i32 %bitop.i.i = and i32 %float_to_int_bitcast.i.i.i.i, -2147483648 %bitop.i = xor i32 %bitop.i.i, %float_to_int_bitcast.i.i.i.i %int_to_float_bitcast.i.i40.i = bitcast i32 %bitop.i to float %binop.i = fadd float %int_to_float_bitcast.i.i40.i, 8.388608e+06 %binop21.i = fadd float %binop.i, -8.388608e+06 %float_to_int_bitcast.i.i.i = bitcast float %binop21.i to i32 %bitop31.i = xor i32 %float_to_int_bitcast.i.i.i, %bitop.i.i %int_to_float_bitcast.i.i.i = bitcast i32 %bitop31.i to float ret float %int_to_float_bitcast.i.i.i } ;; Similarly, for implementations of the __floor* functions below, we have the ;; bitcode from compiling the following source code... ;export float Floor(float x) { ; float y = Round(x); ; unsigned int cmp = y > x ? 0xffffffff : 0; ; float delta = -1.f; ; unsigned int idelta = intbits(delta); ; idelta &= cmp; ; delta = floatbits(idelta); ; return y + delta; ;} define float @__floor_uniform_float(float) nounwind readonly alwaysinline { %calltmp.i = tail call float @__round_uniform_float(float %0) nounwind %bincmp.i = fcmp ogt float %calltmp.i, %0 %selectexpr.i = sext i1 %bincmp.i to i32 %bitop.i = and i32 %selectexpr.i, -1082130432 %int_to_float_bitcast.i.i.i = bitcast i32 %bitop.i to float %binop.i = fadd float %calltmp.i, %int_to_float_bitcast.i.i.i ret float %binop.i } ;; And here is the code we compiled to get the __ceil* functions below ; ;export uniform float Ceil(uniform float x) { ; uniform float y = Round(x); ; uniform int yltx = y < x ? 0xffffffff : 0; ; uniform float delta = 1.f; ; uniform int idelta = intbits(delta); ; idelta &= yltx; ; delta = floatbits(idelta); ; return y + delta; ;} define float @__ceil_uniform_float(float) nounwind readonly alwaysinline { %calltmp.i = tail call float @__round_uniform_float(float %0) nounwind %bincmp.i = fcmp olt float %calltmp.i, %0 %selectexpr.i = sext i1 %bincmp.i to i32 %bitop.i = and i32 %selectexpr.i, 1065353216 %int_to_float_bitcast.i.i.i = bitcast i32 %bitop.i to float %binop.i = fadd float %calltmp.i, %int_to_float_bitcast.i.i.i ret float %binop.i } ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ;; rounding doubles declare double @round(double) declare double @floor(double) declare double @ceil(double) define double @__round_uniform_double(double) nounwind readonly alwaysinline { %r = call double @round(double %0) ret double %r } define double @__floor_uniform_double(double) nounwind readonly alwaysinline { %r = call double @floor(double %0) ret double %r } define double @__ceil_uniform_double(double) nounwind readonly alwaysinline { %r = call double @ceil(double %0) ret double %r } ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ; horizontal ops / reductions declare i32 @llvm.ctpop.i32(i32) declare i64 @llvm.ctpop.i64(i64) define i32 @__popcnt_int32(i32) nounwind readonly alwaysinline { %val = call i32 @llvm.ctpop.i32(i32 %0) ret i32 %val } define i64 @__popcnt_int64(i64) nounwind readnone alwaysinline { %val = call i64 @llvm.ctpop.i64(i64 %0) ret i64 %val }