gallivm: Efficient implementation of sin/cos.
Based on Julien Pommier's SSE and SSE2 algorithms. Signed-off-by: José Fonseca <jfonseca@vmware.com>
This commit is contained in:

committed by
José Fonseca

parent
9b775c1e58
commit
3c929e5544
@@ -59,6 +59,7 @@
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#include "lp_bld_pack.h"
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#include "lp_bld_debug.h"
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#include "lp_bld_arit.h"
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#include "lp_bld_printf.h"
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/**
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@@ -1171,132 +1172,455 @@ lp_build_rsqrt(struct lp_build_context *bld,
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}
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#ifdef PIPE_OS_WINDOWS
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/*
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* XXX: X86 backend translates llvm.cos.v4f32 to 4 calls to CRT's cosf()
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* which is neither efficient nor does the CRT linkage work on Windows
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* causing segmentation fault.
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*
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* XXX: With LLVM 2.7 both schemes cause an assertion failure.
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*/
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static LLVMValueRef
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lp_build_sincos(struct lp_build_context *bld,
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const char *name,
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float (*func)(float),
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LLVMValueRef a)
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static inline LLVMValueRef
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lp_build_const_v4si(unsigned long value)
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{
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LLVMModuleRef module =
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LLVMGetGlobalParent(LLVMGetBasicBlockParent(LLVMGetInsertBlock(bld->builder)));
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LLVMValueRef function;
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LLVMValueRef res;
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unsigned i;
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assert(bld->type.floating);
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assert(bld->type.width == 32);
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function = LLVMGetNamedFunction(module, name);
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if (!function) {
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LLVMTypeRef ret_type;
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LLVMTypeRef arg_types[1];
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LLVMTypeRef function_type;
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ret_type = LLVMFloatType();
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arg_types[0] = LLVMFloatType();
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function_type = LLVMFunctionType(ret_type, arg_types, Elements(arg_types), 0);
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function = LLVMAddFunction(module, name, function_type);
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LLVMSetFunctionCallConv(function, LLVMCCallConv);
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LLVMSetLinkage(function, LLVMPrivateLinkage);
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assert(LLVMIsDeclaration(function));
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LLVMAddGlobalMapping(lp_build_engine, function, func);
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}
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res = bld->undef;
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for (i = 0; i < bld->type.length; ++i) {
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LLVMValueRef index = LLVMConstInt(LLVMInt32Type(), i, 0);
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LLVMValueRef args[1];
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LLVMValueRef tmp;
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args[0] = LLVMBuildExtractElement(bld->builder, a, index, "");
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tmp = LLVMBuildCall(bld->builder, function, args, Elements(args), "");
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res = LLVMBuildInsertElement(bld->builder, res, tmp, index, "");
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}
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return res;
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LLVMValueRef element = LLVMConstInt(LLVMInt32Type(), value, 0);
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LLVMValueRef elements[4] = { element, element, element, element };
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return LLVMConstVector(elements, 4);
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}
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static float c_cosf( float f )
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static inline LLVMValueRef
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lp_build_const_v4sf(float value)
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{
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return (float) cos( (double) f );
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}
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static float c_sinf( float f )
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{
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return (float) sin( (double) f );
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}
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LLVMValueRef
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lp_build_cos(struct lp_build_context *bld,
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LLVMValueRef a)
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{
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return lp_build_sincos(bld, "cosf", &c_cosf, a);
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}
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LLVMValueRef
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lp_build_sin(struct lp_build_context *bld,
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LLVMValueRef a)
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{
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return lp_build_sincos(bld, "sinf", &c_sinf, a);
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}
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#else /* !PIPE_OS_WINDOWS */
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/**
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* Generate cos(a)
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*/
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LLVMValueRef
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lp_build_cos(struct lp_build_context *bld,
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LLVMValueRef a)
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{
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const struct lp_type type = bld->type;
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LLVMTypeRef vec_type = lp_build_vec_type(type);
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char intrinsic[32];
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/* TODO: optimize the constant case */
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assert(type.floating);
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util_snprintf(intrinsic, sizeof intrinsic, "llvm.cos.v%uf%u", type.length, type.width);
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return lp_build_intrinsic_unary(bld->builder, intrinsic, vec_type, a);
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LLVMValueRef element = LLVMConstReal(LLVMFloatType(), value);
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LLVMValueRef elements[4] = { element, element, element, element };
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return LLVMConstVector(elements, 4);
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}
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/**
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* Generate sin(a)
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* Generate sin(a) using SSE2
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*/
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LLVMValueRef
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lp_build_sin(struct lp_build_context *bld,
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LLVMValueRef a)
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LLVMValueRef a)
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{
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const struct lp_type type = bld->type;
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LLVMTypeRef vec_type = lp_build_vec_type(type);
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char intrinsic[32];
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struct lp_type int_type = lp_int_type(bld->type);
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LLVMBuilderRef b = bld->builder;
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LLVMTypeRef v4sf = LLVMVectorType(LLVMFloatType(), 4);
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LLVMTypeRef v4si = LLVMVectorType(LLVMInt32Type(), 4);
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/* TODO: optimize the constant case */
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/*
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* take the absolute value,
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* x = _mm_and_ps(x, *(v4sf*)_ps_inv_sign_mask);
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*/
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assert(type.floating);
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util_snprintf(intrinsic, sizeof intrinsic, "llvm.sin.v%uf%u", type.length, type.width);
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LLVMValueRef inv_sig_mask = lp_build_const_v4si(~0x80000000);
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LLVMValueRef a_v4si = LLVMBuildBitCast(b, a, v4si, "a_v4si");
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return lp_build_intrinsic_unary(bld->builder, intrinsic, vec_type, a);
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LLVMValueRef absi = LLVMBuildAnd(b, a_v4si, inv_sig_mask, "absi");
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LLVMValueRef x_abs = LLVMBuildBitCast(b, absi, v4sf, "x_abs");
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/*
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* extract the sign bit (upper one)
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* sign_bit = _mm_and_ps(sign_bit, *(v4sf*)_ps_sign_mask);
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*/
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LLVMValueRef sig_mask = lp_build_const_v4si(0x80000000);
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LLVMValueRef sign_bit_i = LLVMBuildAnd(b, a_v4si, sig_mask, "sign_bit_i");
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/*
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* scale by 4/Pi
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* y = _mm_mul_ps(x, *(v4sf*)_ps_cephes_FOPI);
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*/
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LLVMValueRef FOPi = lp_build_const_v4sf(1.27323954473516);
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LLVMValueRef scale_y = LLVMBuildMul(b, x_abs, FOPi, "scale_y");
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/*
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* store the integer part of y in mm0
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* emm2 = _mm_cvttps_epi32(y);
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*/
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LLVMValueRef emm2_i = LLVMBuildFPToSI(b, scale_y, v4si, "emm2_i");
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/*
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* j=(j+1) & (~1) (see the cephes sources)
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* emm2 = _mm_add_epi32(emm2, *(v4si*)_pi32_1);
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*/
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LLVMValueRef all_one = lp_build_const_v4si(1);
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LLVMValueRef emm2_add = LLVMBuildAdd(b, emm2_i, all_one, "emm2_add");
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/*
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* emm2 = _mm_and_si128(emm2, *(v4si*)_pi32_inv1);
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*/
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LLVMValueRef inv_one = lp_build_const_v4si(~1);
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LLVMValueRef emm2_and = LLVMBuildAnd(b, emm2_add, inv_one, "emm2_and");
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/*
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* y = _mm_cvtepi32_ps(emm2);
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*/
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LLVMValueRef y_2 = LLVMBuildSIToFP(b, emm2_and, v4sf, "y_2");
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/* get the swap sign flag
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* emm0 = _mm_and_si128(emm2, *(v4si*)_pi32_4);
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*/
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LLVMValueRef pi32_4 = lp_build_const_v4si(4);
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LLVMValueRef emm0_and = LLVMBuildAnd(b, emm2_add, pi32_4, "emm0_and");
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/*
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* emm2 = _mm_slli_epi32(emm0, 29);
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*/
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LLVMValueRef const_29 = lp_build_const_v4si(29);
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LLVMValueRef swap_sign_bit = LLVMBuildShl(b, emm0_and, const_29, "swap_sign_bit");
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/*
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* get the polynom selection mask
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* there is one polynom for 0 <= x <= Pi/4
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* and another one for Pi/4<x<=Pi/2
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* Both branches will be computed.
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*
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* emm2 = _mm_and_si128(emm2, *(v4si*)_pi32_2);
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* emm2 = _mm_cmpeq_epi32(emm2, _mm_setzero_si128());
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*/
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LLVMValueRef pi32_2 = lp_build_const_v4si(2);
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LLVMValueRef emm2_3 = LLVMBuildAnd(b, emm2_and, pi32_2, "emm2_3");
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LLVMValueRef poly_mask = lp_build_compare(b, int_type, PIPE_FUNC_EQUAL,
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emm2_3, lp_build_const_v4si(0));
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/*
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* sign_bit = _mm_xor_ps(sign_bit, swap_sign_bit);
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*/
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LLVMValueRef sign_bit_1 = LLVMBuildXor(b, sign_bit_i, swap_sign_bit, "sign_bit");
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/*
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* _PS_CONST(minus_cephes_DP1, -0.78515625);
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* _PS_CONST(minus_cephes_DP2, -2.4187564849853515625e-4);
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* _PS_CONST(minus_cephes_DP3, -3.77489497744594108e-8);
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*/
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LLVMValueRef DP1 = lp_build_const_v4sf(-0.78515625);
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LLVMValueRef DP2 = lp_build_const_v4sf(-2.4187564849853515625e-4);
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LLVMValueRef DP3 = lp_build_const_v4sf(-3.77489497744594108e-8);
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/*
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* The magic pass: "Extended precision modular arithmetic"
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* x = ((x - y * DP1) - y * DP2) - y * DP3;
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* xmm1 = _mm_mul_ps(y, xmm1);
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* xmm2 = _mm_mul_ps(y, xmm2);
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* xmm3 = _mm_mul_ps(y, xmm3);
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*/
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LLVMValueRef xmm1 = LLVMBuildMul(b, y_2, DP1, "xmm1");
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LLVMValueRef xmm2 = LLVMBuildMul(b, y_2, DP2, "xmm2");
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LLVMValueRef xmm3 = LLVMBuildMul(b, y_2, DP3, "xmm3");
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/*
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* x = _mm_add_ps(x, xmm1);
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* x = _mm_add_ps(x, xmm2);
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* x = _mm_add_ps(x, xmm3);
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*/
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LLVMValueRef x_1 = LLVMBuildAdd(b, x_abs, xmm1, "x_1");
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LLVMValueRef x_2 = LLVMBuildAdd(b, x_1, xmm2, "x_2");
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LLVMValueRef x_3 = LLVMBuildAdd(b, x_2, xmm3, "x_3");
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/*
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* Evaluate the first polynom (0 <= x <= Pi/4)
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*
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* z = _mm_mul_ps(x,x);
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*/
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LLVMValueRef z = LLVMBuildMul(b, x_3, x_3, "z");
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/*
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* _PS_CONST(coscof_p0, 2.443315711809948E-005);
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* _PS_CONST(coscof_p1, -1.388731625493765E-003);
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* _PS_CONST(coscof_p2, 4.166664568298827E-002);
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*/
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LLVMValueRef coscof_p0 = lp_build_const_v4sf(2.443315711809948E-005);
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LLVMValueRef coscof_p1 = lp_build_const_v4sf(-1.388731625493765E-003);
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LLVMValueRef coscof_p2 = lp_build_const_v4sf(4.166664568298827E-002);
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/*
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* y = *(v4sf*)_ps_coscof_p0;
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* y = _mm_mul_ps(y, z);
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*/
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LLVMValueRef y_3 = LLVMBuildMul(b, z, coscof_p0, "y_3");
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LLVMValueRef y_4 = LLVMBuildAdd(b, y_3, coscof_p1, "y_4");
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LLVMValueRef y_5 = LLVMBuildMul(b, y_4, z, "y_5");
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LLVMValueRef y_6 = LLVMBuildAdd(b, y_5, coscof_p2, "y_6");
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LLVMValueRef y_7 = LLVMBuildMul(b, y_6, z, "y_7");
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LLVMValueRef y_8 = LLVMBuildMul(b, y_7, z, "y_8");
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/*
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* tmp = _mm_mul_ps(z, *(v4sf*)_ps_0p5);
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* y = _mm_sub_ps(y, tmp);
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* y = _mm_add_ps(y, *(v4sf*)_ps_1);
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*/
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LLVMValueRef half = lp_build_const_v4sf(0.5);
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LLVMValueRef tmp = LLVMBuildMul(b, z, half, "tmp");
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LLVMValueRef y_9 = LLVMBuildSub(b, y_8, tmp, "y_8");
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LLVMValueRef one = lp_build_const_v4sf(1.0);
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LLVMValueRef y_10 = LLVMBuildAdd(b, y_9, one, "y_9");
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/*
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* _PS_CONST(sincof_p0, -1.9515295891E-4);
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* _PS_CONST(sincof_p1, 8.3321608736E-3);
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* _PS_CONST(sincof_p2, -1.6666654611E-1);
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*/
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LLVMValueRef sincof_p0 = lp_build_const_v4sf(-1.9515295891E-4);
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LLVMValueRef sincof_p1 = lp_build_const_v4sf(8.3321608736E-3);
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LLVMValueRef sincof_p2 = lp_build_const_v4sf(-1.6666654611E-1);
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/*
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* Evaluate the second polynom (Pi/4 <= x <= 0)
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*
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* y2 = *(v4sf*)_ps_sincof_p0;
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* y2 = _mm_mul_ps(y2, z);
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* y2 = _mm_add_ps(y2, *(v4sf*)_ps_sincof_p1);
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* y2 = _mm_mul_ps(y2, z);
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* y2 = _mm_add_ps(y2, *(v4sf*)_ps_sincof_p2);
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* y2 = _mm_mul_ps(y2, z);
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* y2 = _mm_mul_ps(y2, x);
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* y2 = _mm_add_ps(y2, x);
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*/
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LLVMValueRef y2_3 = LLVMBuildMul(b, z, sincof_p0, "y2_3");
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LLVMValueRef y2_4 = LLVMBuildAdd(b, y2_3, sincof_p1, "y2_4");
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LLVMValueRef y2_5 = LLVMBuildMul(b, y2_4, z, "y2_5");
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LLVMValueRef y2_6 = LLVMBuildAdd(b, y2_5, sincof_p2, "y2_6");
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LLVMValueRef y2_7 = LLVMBuildMul(b, y2_6, z, "y2_7");
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LLVMValueRef y2_8 = LLVMBuildMul(b, y2_7, x_3, "y2_8");
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LLVMValueRef y2_9 = LLVMBuildAdd(b, y2_8, x_3, "y2_9");
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/*
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* select the correct result from the two polynoms
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* xmm3 = poly_mask;
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* y2 = _mm_and_ps(xmm3, y2); //, xmm3);
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* y = _mm_andnot_ps(xmm3, y);
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* y = _mm_add_ps(y,y2);
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*/
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LLVMValueRef y2_i = LLVMBuildBitCast(b, y2_9, v4si, "y2_i");
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LLVMValueRef y_i = LLVMBuildBitCast(b, y_10, v4si, "y_i");
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LLVMValueRef y2_and = LLVMBuildAnd(b, y2_i, poly_mask, "y2_and");
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LLVMValueRef inv = lp_build_const_v4si(~0);
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LLVMValueRef poly_mask_inv = LLVMBuildXor(b, poly_mask, inv, "poly_mask_inv");
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LLVMValueRef y_and = LLVMBuildAnd(b, y_i, poly_mask_inv, "y_and");
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LLVMValueRef y_combine = LLVMBuildAdd(b, y_and, y2_and, "y_combine");
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/*
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* update the sign
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* y = _mm_xor_ps(y, sign_bit);
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*/
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LLVMValueRef y_sign = LLVMBuildXor(b, y_combine, sign_bit_1, "y_sin");
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LLVMValueRef y_result = LLVMBuildBitCast(b, y_sign, v4sf, "y_result");
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return y_result;
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}
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#endif /* !PIPE_OS_WINDOWS */
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/**
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* Generate cos(a) using SSE2
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*/
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LLVMValueRef
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lp_build_cos(struct lp_build_context *bld,
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LLVMValueRef a)
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{
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struct lp_type int_type = lp_int_type(bld->type);
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LLVMBuilderRef b = bld->builder;
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LLVMTypeRef v4sf = LLVMVectorType(LLVMFloatType(), 4);
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LLVMTypeRef v4si = LLVMVectorType(LLVMInt32Type(), 4);
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/*
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* take the absolute value,
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* x = _mm_and_ps(x, *(v4sf*)_ps_inv_sign_mask);
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*/
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LLVMValueRef inv_sig_mask = lp_build_const_v4si(~0x80000000);
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LLVMValueRef a_v4si = LLVMBuildBitCast(b, a, v4si, "a_v4si");
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LLVMValueRef absi = LLVMBuildAnd(b, a_v4si, inv_sig_mask, "absi");
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LLVMValueRef x_abs = LLVMBuildBitCast(b, absi, v4sf, "x_abs");
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/*
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* scale by 4/Pi
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* y = _mm_mul_ps(x, *(v4sf*)_ps_cephes_FOPI);
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*/
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LLVMValueRef FOPi = lp_build_const_v4sf(1.27323954473516);
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LLVMValueRef scale_y = LLVMBuildMul(b, x_abs, FOPi, "scale_y");
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||||
/*
|
||||
* store the integer part of y in mm0
|
||||
* emm2 = _mm_cvttps_epi32(y);
|
||||
*/
|
||||
|
||||
LLVMValueRef emm2_i = LLVMBuildFPToSI(b, scale_y, v4si, "emm2_i");
|
||||
|
||||
/*
|
||||
* j=(j+1) & (~1) (see the cephes sources)
|
||||
* emm2 = _mm_add_epi32(emm2, *(v4si*)_pi32_1);
|
||||
*/
|
||||
|
||||
LLVMValueRef all_one = lp_build_const_v4si(1);
|
||||
LLVMValueRef emm2_add = LLVMBuildAdd(b, emm2_i, all_one, "emm2_add");
|
||||
/*
|
||||
* emm2 = _mm_and_si128(emm2, *(v4si*)_pi32_inv1);
|
||||
*/
|
||||
LLVMValueRef inv_one = lp_build_const_v4si(~1);
|
||||
LLVMValueRef emm2_and = LLVMBuildAnd(b, emm2_add, inv_one, "emm2_and");
|
||||
|
||||
/*
|
||||
* y = _mm_cvtepi32_ps(emm2);
|
||||
*/
|
||||
LLVMValueRef y_2 = LLVMBuildSIToFP(b, emm2_and, v4sf, "y_2");
|
||||
|
||||
|
||||
/*
|
||||
* emm2 = _mm_sub_epi32(emm2, *(v4si*)_pi32_2);
|
||||
*/
|
||||
LLVMValueRef const_2 = lp_build_const_v4si(2);
|
||||
LLVMValueRef emm2_2 = LLVMBuildSub(b, emm2_and, const_2, "emm2_2");
|
||||
|
||||
|
||||
/* get the swap sign flag
|
||||
* emm0 = _mm_andnot_si128(emm2, *(v4si*)_pi32_4);
|
||||
*/
|
||||
LLVMValueRef inv = lp_build_const_v4si(~0);
|
||||
LLVMValueRef emm0_not = LLVMBuildXor(b, emm2_2, inv, "emm0_not");
|
||||
LLVMValueRef pi32_4 = lp_build_const_v4si(4);
|
||||
LLVMValueRef emm0_and = LLVMBuildAnd(b, emm0_not, pi32_4, "emm0_and");
|
||||
|
||||
/*
|
||||
* emm2 = _mm_slli_epi32(emm0, 29);
|
||||
*/
|
||||
LLVMValueRef const_29 = lp_build_const_v4si(29);
|
||||
LLVMValueRef sign_bit = LLVMBuildShl(b, emm0_and, const_29, "sign_bit");
|
||||
|
||||
/*
|
||||
* get the polynom selection mask
|
||||
* there is one polynom for 0 <= x <= Pi/4
|
||||
* and another one for Pi/4<x<=Pi/2
|
||||
* Both branches will be computed.
|
||||
*
|
||||
* emm2 = _mm_and_si128(emm2, *(v4si*)_pi32_2);
|
||||
* emm2 = _mm_cmpeq_epi32(emm2, _mm_setzero_si128());
|
||||
*/
|
||||
|
||||
LLVMValueRef pi32_2 = lp_build_const_v4si(2);
|
||||
LLVMValueRef emm2_3 = LLVMBuildAnd(b, emm2_2, pi32_2, "emm2_3");
|
||||
LLVMValueRef poly_mask = lp_build_compare(b, int_type, PIPE_FUNC_EQUAL,
|
||||
emm2_3, lp_build_const_v4si(0));
|
||||
|
||||
/*
|
||||
* _PS_CONST(minus_cephes_DP1, -0.78515625);
|
||||
* _PS_CONST(minus_cephes_DP2, -2.4187564849853515625e-4);
|
||||
* _PS_CONST(minus_cephes_DP3, -3.77489497744594108e-8);
|
||||
*/
|
||||
LLVMValueRef DP1 = lp_build_const_v4sf(-0.78515625);
|
||||
LLVMValueRef DP2 = lp_build_const_v4sf(-2.4187564849853515625e-4);
|
||||
LLVMValueRef DP3 = lp_build_const_v4sf(-3.77489497744594108e-8);
|
||||
|
||||
/*
|
||||
* The magic pass: "Extended precision modular arithmetic"
|
||||
* x = ((x - y * DP1) - y * DP2) - y * DP3;
|
||||
* xmm1 = _mm_mul_ps(y, xmm1);
|
||||
* xmm2 = _mm_mul_ps(y, xmm2);
|
||||
* xmm3 = _mm_mul_ps(y, xmm3);
|
||||
*/
|
||||
LLVMValueRef xmm1 = LLVMBuildMul(b, y_2, DP1, "xmm1");
|
||||
LLVMValueRef xmm2 = LLVMBuildMul(b, y_2, DP2, "xmm2");
|
||||
LLVMValueRef xmm3 = LLVMBuildMul(b, y_2, DP3, "xmm3");
|
||||
|
||||
/*
|
||||
* x = _mm_add_ps(x, xmm1);
|
||||
* x = _mm_add_ps(x, xmm2);
|
||||
* x = _mm_add_ps(x, xmm3);
|
||||
*/
|
||||
|
||||
LLVMValueRef x_1 = LLVMBuildAdd(b, x_abs, xmm1, "x_1");
|
||||
LLVMValueRef x_2 = LLVMBuildAdd(b, x_1, xmm2, "x_2");
|
||||
LLVMValueRef x_3 = LLVMBuildAdd(b, x_2, xmm3, "x_3");
|
||||
|
||||
/*
|
||||
* Evaluate the first polynom (0 <= x <= Pi/4)
|
||||
*
|
||||
* z = _mm_mul_ps(x,x);
|
||||
*/
|
||||
LLVMValueRef z = LLVMBuildMul(b, x_3, x_3, "z");
|
||||
|
||||
/*
|
||||
* _PS_CONST(coscof_p0, 2.443315711809948E-005);
|
||||
* _PS_CONST(coscof_p1, -1.388731625493765E-003);
|
||||
* _PS_CONST(coscof_p2, 4.166664568298827E-002);
|
||||
*/
|
||||
LLVMValueRef coscof_p0 = lp_build_const_v4sf(2.443315711809948E-005);
|
||||
LLVMValueRef coscof_p1 = lp_build_const_v4sf(-1.388731625493765E-003);
|
||||
LLVMValueRef coscof_p2 = lp_build_const_v4sf(4.166664568298827E-002);
|
||||
|
||||
/*
|
||||
* y = *(v4sf*)_ps_coscof_p0;
|
||||
* y = _mm_mul_ps(y, z);
|
||||
*/
|
||||
LLVMValueRef y_3 = LLVMBuildMul(b, z, coscof_p0, "y_3");
|
||||
LLVMValueRef y_4 = LLVMBuildAdd(b, y_3, coscof_p1, "y_4");
|
||||
LLVMValueRef y_5 = LLVMBuildMul(b, y_4, z, "y_5");
|
||||
LLVMValueRef y_6 = LLVMBuildAdd(b, y_5, coscof_p2, "y_6");
|
||||
LLVMValueRef y_7 = LLVMBuildMul(b, y_6, z, "y_7");
|
||||
LLVMValueRef y_8 = LLVMBuildMul(b, y_7, z, "y_8");
|
||||
|
||||
|
||||
/*
|
||||
* tmp = _mm_mul_ps(z, *(v4sf*)_ps_0p5);
|
||||
* y = _mm_sub_ps(y, tmp);
|
||||
* y = _mm_add_ps(y, *(v4sf*)_ps_1);
|
||||
*/
|
||||
LLVMValueRef half = lp_build_const_v4sf(0.5);
|
||||
LLVMValueRef tmp = LLVMBuildMul(b, z, half, "tmp");
|
||||
LLVMValueRef y_9 = LLVMBuildSub(b, y_8, tmp, "y_8");
|
||||
LLVMValueRef one = lp_build_const_v4sf(1.0);
|
||||
LLVMValueRef y_10 = LLVMBuildAdd(b, y_9, one, "y_9");
|
||||
|
||||
/*
|
||||
* _PS_CONST(sincof_p0, -1.9515295891E-4);
|
||||
* _PS_CONST(sincof_p1, 8.3321608736E-3);
|
||||
* _PS_CONST(sincof_p2, -1.6666654611E-1);
|
||||
*/
|
||||
LLVMValueRef sincof_p0 = lp_build_const_v4sf(-1.9515295891E-4);
|
||||
LLVMValueRef sincof_p1 = lp_build_const_v4sf(8.3321608736E-3);
|
||||
LLVMValueRef sincof_p2 = lp_build_const_v4sf(-1.6666654611E-1);
|
||||
|
||||
/*
|
||||
* Evaluate the second polynom (Pi/4 <= x <= 0)
|
||||
*
|
||||
* y2 = *(v4sf*)_ps_sincof_p0;
|
||||
* y2 = _mm_mul_ps(y2, z);
|
||||
* y2 = _mm_add_ps(y2, *(v4sf*)_ps_sincof_p1);
|
||||
* y2 = _mm_mul_ps(y2, z);
|
||||
* y2 = _mm_add_ps(y2, *(v4sf*)_ps_sincof_p2);
|
||||
* y2 = _mm_mul_ps(y2, z);
|
||||
* y2 = _mm_mul_ps(y2, x);
|
||||
* y2 = _mm_add_ps(y2, x);
|
||||
*/
|
||||
|
||||
LLVMValueRef y2_3 = LLVMBuildMul(b, z, sincof_p0, "y2_3");
|
||||
LLVMValueRef y2_4 = LLVMBuildAdd(b, y2_3, sincof_p1, "y2_4");
|
||||
LLVMValueRef y2_5 = LLVMBuildMul(b, y2_4, z, "y2_5");
|
||||
LLVMValueRef y2_6 = LLVMBuildAdd(b, y2_5, sincof_p2, "y2_6");
|
||||
LLVMValueRef y2_7 = LLVMBuildMul(b, y2_6, z, "y2_7");
|
||||
LLVMValueRef y2_8 = LLVMBuildMul(b, y2_7, x_3, "y2_8");
|
||||
LLVMValueRef y2_9 = LLVMBuildAdd(b, y2_8, x_3, "y2_9");
|
||||
|
||||
/*
|
||||
* select the correct result from the two polynoms
|
||||
* xmm3 = poly_mask;
|
||||
* y2 = _mm_and_ps(xmm3, y2); //, xmm3);
|
||||
* y = _mm_andnot_ps(xmm3, y);
|
||||
* y = _mm_add_ps(y,y2);
|
||||
*/
|
||||
LLVMValueRef y2_i = LLVMBuildBitCast(b, y2_9, v4si, "y2_i");
|
||||
LLVMValueRef y_i = LLVMBuildBitCast(b, y_10, v4si, "y_i");
|
||||
LLVMValueRef y2_and = LLVMBuildAnd(b, y2_i, poly_mask, "y2_and");
|
||||
LLVMValueRef poly_mask_inv = LLVMBuildXor(b, poly_mask, inv, "poly_mask_inv");
|
||||
LLVMValueRef y_and = LLVMBuildAnd(b, y_i, poly_mask_inv, "y_and");
|
||||
LLVMValueRef y_combine = LLVMBuildAdd(b, y_and, y2_and, "y_combine");
|
||||
|
||||
/*
|
||||
* update the sign
|
||||
* y = _mm_xor_ps(y, sign_bit);
|
||||
*/
|
||||
LLVMValueRef y_sign = LLVMBuildXor(b, y_combine, sign_bit, "y_sin");
|
||||
LLVMValueRef y_result = LLVMBuildBitCast(b, y_sign, v4sf, "y_result");
|
||||
return y_result;
|
||||
}
|
||||
|
||||
|
||||
/**
|
||||
|
Reference in New Issue
Block a user