/************************************************************************** * * Copyright 2009 VMware, Inc. * All Rights Reserved. * * Permission is hereby granted, free of charge, to any person obtaining a * copy of this software and associated documentation files (the * "Software"), to deal in the Software without restriction, including * without limitation the rights to use, copy, modify, merge, publish, * distribute, sub license, and/or sell copies of the Software, and to * permit persons to whom the Software is furnished to do so, subject to * the following conditions: * * The above copyright notice and this permission notice (including the * next paragraph) shall be included in all copies or substantial portions * of the Software. * * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NON-INFRINGEMENT. * IN NO EVENT SHALL VMWARE AND/OR ITS SUPPLIERS BE LIABLE FOR * ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, * TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE * SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. * **************************************************************************/ /** * @file * Helper functions for type conversions. * * We want to use the fastest type for a given computation whenever feasible. * The other side of this is that we need to be able convert between several * types accurately and efficiently. * * Conversion between types of different bit width is quite complex since a * * To remember there are a few invariants in type conversions: * * - register width must remain constant: * * src_type.width * src_type.length == dst_type.width * dst_type.length * * - total number of elements must remain constant: * * src_type.length * num_srcs == dst_type.length * num_dsts * * It is not always possible to do the conversion both accurately and * efficiently, usually due to lack of adequate machine instructions. In these * cases it is important not to cut shortcuts here and sacrifice accuracy, as * there this functions can be used anywhere. In the future we might have a * precision parameter which can gauge the accuracy vs efficiency compromise, * but for now if the data conversion between two stages happens to be the * bottleneck, then most likely should just avoid converting at all and run * both stages with the same type. * * Make sure to run lp_test_conv unit test after any change to this file. * * @author Jose Fonseca */ #include "util/u_debug.h" #include "util/u_math.h" #include "lp_bld_type.h" #include "lp_bld_const.h" #include "lp_bld_arit.h" #include "lp_bld_pack.h" #include "lp_bld_conv.h" /** * Special case for converting clamped IEEE-754 floats to unsigned norms. * * The mathematical voodoo below may seem excessive but it is actually * paramount we do it this way for several reasons. First, there is no single * precision FP to unsigned integer conversion Intel SSE instruction. Second, * secondly, even if there was, since the FP's mantissa takes only a fraction * of register bits the typically scale and cast approach would require double * precision for accurate results, and therefore half the throughput * * Although the result values can be scaled to an arbitrary bit width specified * by dst_width, the actual result type will have the same width. * * Ex: src = { float, float, float, float } * return { i32, i32, i32, i32 } where each value is in [0, 2^dst_width-1]. */ LLVMValueRef lp_build_clamped_float_to_unsigned_norm(LLVMBuilderRef builder, struct lp_type src_type, unsigned dst_width, LLVMValueRef src) { 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); mantissa = lp_mantissa(src_type); /* We cannot carry more bits than the mantissa */ n = MIN2(mantissa, dst_width); /* 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)); res = LLVMBuildMul(builder, src, lp_build_const_vec(src_type, scale), ""); res = LLVMBuildAdd(builder, res, lp_build_const_vec(src_type, bias), ""); res = LLVMBuildBitCast(builder, res, int_vec_type, ""); if(dst_width > n) { int shift = dst_width - n; res = LLVMBuildShl(builder, res, lp_build_const_int_vec(src_type, shift), ""); /* 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. */ #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; } #endif } else res = LLVMBuildAnd(builder, res, lp_build_const_int_vec(src_type, mask), ""); return res; } /** * Inverse of lp_build_clamped_float_to_unsigned_norm above. * Ex: src = { i32, i32, i32, i32 } with values in range [0, 2^src_width-1] * return {float, float, float, float} with values in range [0, 1]. */ LLVMValueRef lp_build_unsigned_norm_to_float(LLVMBuilderRef builder, unsigned src_width, struct lp_type dst_type, LLVMValueRef src) { LLVMTypeRef vec_type = lp_build_vec_type(dst_type); LLVMTypeRef int_vec_type = lp_build_int_vec_type(dst_type); LLVMValueRef bias_; LLVMValueRef res; unsigned mantissa; unsigned n; unsigned long long ubound; unsigned long long mask; double scale; double bias; mantissa = lp_mantissa(dst_type); n = MIN2(mantissa, src_width); ubound = ((unsigned long long)1 << n); mask = ubound - 1; scale = (double)ubound/mask; bias = (double)((unsigned long long)1 << (mantissa - n)); res = src; if(src_width > mantissa) { int shift = src_width - mantissa; res = LLVMBuildLShr(builder, res, lp_build_const_int_vec(dst_type, shift), ""); } bias_ = lp_build_const_vec(dst_type, bias); res = LLVMBuildOr(builder, res, LLVMBuildBitCast(builder, bias_, int_vec_type, ""), ""); res = LLVMBuildBitCast(builder, res, vec_type, ""); res = LLVMBuildSub(builder, res, bias_, ""); res = LLVMBuildMul(builder, res, lp_build_const_vec(dst_type, scale), ""); return res; } /** * Generic type conversion. * * TODO: Take a precision argument, or even better, add a new precision member * to the lp_type union. */ void lp_build_conv(LLVMBuilderRef builder, struct lp_type src_type, struct lp_type dst_type, const LLVMValueRef *src, unsigned num_srcs, LLVMValueRef *dst, unsigned num_dsts) { struct lp_type tmp_type; LLVMValueRef tmp[LP_MAX_VECTOR_LENGTH]; unsigned num_tmps; unsigned i; /* We must not loose or gain channels. Only precision */ assert(src_type.length * num_srcs == dst_type.length * num_dsts); assert(src_type.length <= LP_MAX_VECTOR_LENGTH); assert(dst_type.length <= LP_MAX_VECTOR_LENGTH); assert(num_srcs <= LP_MAX_VECTOR_LENGTH); assert(num_dsts <= LP_MAX_VECTOR_LENGTH); tmp_type = src_type; for(i = 0; i < num_srcs; ++i) tmp[i] = src[i]; num_tmps = num_srcs; /* * Clamp if necessary */ if(memcmp(&src_type, &dst_type, sizeof src_type) != 0) { struct lp_build_context bld; double src_min = lp_const_min(src_type); double dst_min = lp_const_min(dst_type); double src_max = lp_const_max(src_type); double dst_max = lp_const_max(dst_type); LLVMValueRef thres; lp_build_context_init(&bld, builder, tmp_type); if(src_min < dst_min) { if(dst_min == 0.0) thres = bld.zero; else thres = lp_build_const_vec(src_type, dst_min); for(i = 0; i < num_tmps; ++i) tmp[i] = lp_build_max(&bld, tmp[i], thres); } if(src_max > dst_max) { if(dst_max == 1.0) thres = bld.one; else thres = lp_build_const_vec(src_type, dst_max); for(i = 0; i < num_tmps; ++i) tmp[i] = lp_build_min(&bld, tmp[i], thres); } } /* * Scale to the narrowest range */ if(dst_type.floating) { /* Nothing to do */ } else if(tmp_type.floating) { if(!dst_type.fixed && !dst_type.sign && dst_type.norm) { for(i = 0; i < num_tmps; ++i) { tmp[i] = lp_build_clamped_float_to_unsigned_norm(builder, tmp_type, dst_type.width, tmp[i]); } tmp_type.floating = FALSE; } else { double dst_scale = lp_const_scale(dst_type); LLVMTypeRef tmp_vec_type; if (dst_scale != 1.0) { LLVMValueRef scale = lp_build_const_vec(tmp_type, dst_scale); for(i = 0; i < num_tmps; ++i) tmp[i] = LLVMBuildMul(builder, tmp[i], scale, ""); } /* Use an equally sized integer for intermediate computations */ tmp_type.floating = FALSE; tmp_vec_type = lp_build_vec_type(tmp_type); for(i = 0; i < num_tmps; ++i) { #if 0 if(dst_type.sign) tmp[i] = LLVMBuildFPToSI(builder, tmp[i], tmp_vec_type, ""); else tmp[i] = LLVMBuildFPToUI(builder, tmp[i], tmp_vec_type, ""); #else /* FIXME: there is no SSE counterpart for LLVMBuildFPToUI */ tmp[i] = LLVMBuildFPToSI(builder, tmp[i], tmp_vec_type, ""); #endif } } } else { unsigned src_shift = lp_const_shift(src_type); unsigned dst_shift = lp_const_shift(dst_type); /* FIXME: compensate different offsets too */ if(src_shift > dst_shift) { LLVMValueRef shift = lp_build_const_int_vec(tmp_type, src_shift - dst_shift); for(i = 0; i < num_tmps; ++i) if(src_type.sign) tmp[i] = LLVMBuildAShr(builder, tmp[i], shift, ""); else tmp[i] = LLVMBuildLShr(builder, tmp[i], shift, ""); } } /* * Truncate or expand bit width * * No data conversion should happen here, although the sign bits are * crucial to avoid bad clamping. */ { struct lp_type new_type; new_type = tmp_type; new_type.sign = dst_type.sign; new_type.width = dst_type.width; new_type.length = dst_type.length; lp_build_resize(builder, tmp_type, new_type, tmp, num_srcs, tmp, num_dsts); tmp_type = new_type; num_tmps = num_dsts; } /* * Scale to the widest range */ if(src_type.floating) { /* Nothing to do */ } else if(!src_type.floating && dst_type.floating) { if(!src_type.fixed && !src_type.sign && src_type.norm) { for(i = 0; i < num_tmps; ++i) { tmp[i] = lp_build_unsigned_norm_to_float(builder, src_type.width, dst_type, tmp[i]); } tmp_type.floating = TRUE; } else { double src_scale = lp_const_scale(src_type); LLVMTypeRef tmp_vec_type; /* Use an equally sized integer for intermediate computations */ tmp_type.floating = TRUE; tmp_type.sign = TRUE; tmp_vec_type = lp_build_vec_type(tmp_type); for(i = 0; i < num_tmps; ++i) { #if 0 if(dst_type.sign) tmp[i] = LLVMBuildSIToFP(builder, tmp[i], tmp_vec_type, ""); else tmp[i] = LLVMBuildUIToFP(builder, tmp[i], tmp_vec_type, ""); #else /* FIXME: there is no SSE counterpart for LLVMBuildUIToFP */ tmp[i] = LLVMBuildSIToFP(builder, tmp[i], tmp_vec_type, ""); #endif } if (src_scale != 1.0) { LLVMValueRef scale = lp_build_const_vec(tmp_type, 1.0/src_scale); for(i = 0; i < num_tmps; ++i) tmp[i] = LLVMBuildMul(builder, tmp[i], scale, ""); } } } else { unsigned src_shift = lp_const_shift(src_type); unsigned dst_shift = lp_const_shift(dst_type); /* FIXME: compensate different offsets too */ if(src_shift < dst_shift) { LLVMValueRef shift = lp_build_const_int_vec(tmp_type, dst_shift - src_shift); for(i = 0; i < num_tmps; ++i) tmp[i] = LLVMBuildShl(builder, tmp[i], shift, ""); } } for(i = 0; i < num_dsts; ++i) dst[i] = tmp[i]; } /** * Bit mask conversion. * * This will convert the integer masks that match the given types. * * The mask values should 0 or -1, i.e., all bits either set to zero or one. * Any other value will likely cause in unpredictable results. * * This is basically a very trimmed down version of lp_build_conv. */ void lp_build_conv_mask(LLVMBuilderRef builder, struct lp_type src_type, struct lp_type dst_type, const LLVMValueRef *src, unsigned num_srcs, LLVMValueRef *dst, unsigned num_dsts) { /* Register width must remain constant */ assert(src_type.width * src_type.length == dst_type.width * dst_type.length); /* We must not loose or gain channels. Only precision */ assert(src_type.length * num_srcs == dst_type.length * num_dsts); /* * Drop * * We assume all values are 0 or -1 */ src_type.floating = FALSE; src_type.fixed = FALSE; src_type.sign = TRUE; src_type.norm = FALSE; dst_type.floating = FALSE; dst_type.fixed = FALSE; dst_type.sign = TRUE; dst_type.norm = FALSE; /* * Truncate or expand bit width */ if(src_type.width > dst_type.width) { assert(num_dsts == 1); dst[0] = lp_build_pack(builder, src_type, dst_type, TRUE, src, num_srcs); } else if(src_type.width < dst_type.width) { assert(num_srcs == 1); lp_build_unpack(builder, src_type, dst_type, src[0], dst, num_dsts); } else { assert(num_srcs == num_dsts); memcpy(dst, src, num_dsts * sizeof *dst); } }