/****************************************************************************** Copyright (c) 2007-2018, Intel Corp. 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. ******************************************************************************/ #define BASE_NAME bid #include "dpml_ux.h" #if !defined(MAKE_INCLUDE) # include STR(BUILD_FILE_NAME) #endif /* ** For the arithmetic operation (add, sub, mul and divide) it is sometines ** necessary to return an invalid operation result as well and overflow and ** underflow. For the time being, this will be done mapping the error ocdes ** for these operations onto existing error codes. */ #define MUL_ZERO_BY_INF SQRT_OF_NEGATIVE #define DIV_ZERO_BY_ZERO SQRT_OF_NEGATIVE #define DIV_BY_ZERO_POS COT_OF_ZERO #define DIV_BY_ZERO_NEG LOG_OF_ZERO #define DIV_INF_BY_INF SQRT_OF_NEGATIVE #define ADD_PINF_TO_NINF SQRT_OF_NEGATIVE #define SUB_INF_FROM_INF SQRT_OF_NEGATIVE /******************************************************************************/ /* /* Basic arithmetic operations /* /******************************************************************************/ #undef F_ENTRY_NAME #define F_ENTRY_NAME F_MUL_NAME X_XX_PROTO(F_ENTRY_NAME, packed_result, packed_x, packed_y) { WORD fp_class; UX_FLOAT unpacked_x, unpacked_y, unpacked_result; EXCEPTION_INFO_DECL DECLARE_X_FLOAT(packed_result) fp_class = UNPACK2( PASS_ARG_X_FLOAT(packed_x), PASS_ARG_X_FLOAT(packed_y), & unpacked_x, & unpacked_y, MUL_CLASS_TO_ACTION_MAP, PASS_RET_X_FLOAT(packed_result) OPT_EXCEPTION_INFO ); if (0 > fp_class) RETURN_X_FLOAT(packed_result); MULTIPLY( &unpacked_x, &unpacked_y, &unpacked_result); PACK( &unpacked_result, PASS_RET_X_FLOAT(packed_result), G_UX_SIGN(&unpacked_result) ? FMA_NEG_UNDERFLOW : FMA_POS_UNDERFLOW, G_UX_SIGN(&unpacked_result) ? FMA_NEG_OVERFLOW : FMA_POS_OVERFLOW OPT_EXCEPTION_INFO ); RETURN_X_FLOAT(packed_result); } #undef F_ENTRY_NAME #define F_ENTRY_NAME F_DIV_NAME X_XX_PROTO(F_ENTRY_NAME, packed_result, packed_x, packed_y) { WORD fp_class; UX_FLOAT unpacked_x, unpacked_y, unpacked_result; EXCEPTION_INFO_DECL DECLARE_X_FLOAT(packed_result) fp_class = UNPACK2( PASS_ARG_X_FLOAT(packed_x), PASS_ARG_X_FLOAT(packed_y), & unpacked_x, & unpacked_y, DIV_CLASS_TO_ACTION_MAP, PASS_RET_X_FLOAT(packed_result) OPT_EXCEPTION_INFO ); if (0 > fp_class) RETURN_X_FLOAT(packed_result); DIVIDE( &unpacked_x, &unpacked_y, 0, &unpacked_result); PACK( &unpacked_result, PASS_RET_X_FLOAT(packed_result), G_UX_SIGN(&unpacked_result) ? FMA_NEG_UNDERFLOW : FMA_POS_UNDERFLOW, G_UX_SIGN(&unpacked_result) ? FMA_NEG_OVERFLOW : FMA_POS_OVERFLOW OPT_EXCEPTION_INFO ); RETURN_X_FLOAT(packed_result); } #undef F_ENTRY_NAME #define F_ENTRY_NAME F_ADD_NAME X_XX_PROTO(F_ENTRY_NAME, packed_result, packed_x, packed_y) { WORD fp_class; UX_FLOAT unpacked_x, unpacked_y, unpacked_result; EXCEPTION_INFO_DECL DECLARE_X_FLOAT(packed_result) fp_class = UNPACK2( PASS_ARG_X_FLOAT(packed_x), PASS_ARG_X_FLOAT(packed_y), & unpacked_x, & unpacked_y, ADDITION_CLASS_TO_ACTION_MAP, PASS_RET_X_FLOAT(packed_result) OPT_EXCEPTION_INFO ); if (0 > fp_class) RETURN_X_FLOAT(packed_result); ADDSUB( &unpacked_x, &unpacked_y, ADD, &unpacked_result); PACK( &unpacked_result, PASS_RET_X_FLOAT(packed_result), G_UX_SIGN(&unpacked_result) ? FMA_NEG_UNDERFLOW : FMA_POS_UNDERFLOW, G_UX_SIGN(&unpacked_result) ? FMA_NEG_OVERFLOW : FMA_POS_OVERFLOW OPT_EXCEPTION_INFO ); RETURN_X_FLOAT(packed_result); } #undef F_ENTRY_NAME #define F_ENTRY_NAME F_SUB_NAME X_XX_PROTO(F_ENTRY_NAME, packed_result, packed_x, packed_y) { WORD fp_class; UX_FLOAT unpacked_x, unpacked_y, unpacked_result; EXCEPTION_INFO_DECL DECLARE_X_FLOAT(packed_result) fp_class = UNPACK2( PASS_ARG_X_FLOAT(packed_x), PASS_ARG_X_FLOAT(packed_y), & unpacked_x, & unpacked_y, SUBTRACTION_CLASS_TO_ACTION_MAP, PASS_RET_X_FLOAT(packed_result) OPT_EXCEPTION_INFO ); if (0 > fp_class) RETURN_X_FLOAT(packed_result); ADDSUB( &unpacked_x, &unpacked_y, SUB, &unpacked_result); PACK( &unpacked_result, PASS_RET_X_FLOAT(packed_result), G_UX_SIGN(&unpacked_result) ? FMA_NEG_UNDERFLOW : FMA_POS_UNDERFLOW, G_UX_SIGN(&unpacked_result) ? FMA_NEG_OVERFLOW : FMA_POS_OVERFLOW OPT_EXCEPTION_INFO ); RETURN_X_FLOAT(packed_result); } #undef F_ENTRY_NAME #define F_ENTRY_NAME F_NEG_NAME X_X_PROTO(F_ENTRY_NAME, packed_result, packed_x) { WORD fp_class; UX_FLOAT unpacked_x, unpacked_y, unpacked_result; EXCEPTION_INFO_DECL DECLARE_X_FLOAT(packed_result) fp_class = UNPACK( PASS_ARG_X_FLOAT(packed_x), & unpacked_x, NEGATE_CLASS_TO_ACTION_MAP, PASS_RET_X_FLOAT(packed_result) OPT_EXCEPTION_INFO ); RETURN_X_FLOAT(packed_result); } #undef F_ENTRY_NAME #define F_ENTRY_NAME F_FABS_NAME X_X_PROTO(F_ENTRY_NAME, packed_result, packed_x) { WORD fp_class; UX_FLOAT unpacked_x, unpacked_y, unpacked_result; EXCEPTION_INFO_DECL DECLARE_X_FLOAT(packed_result) fp_class = UNPACK( PASS_ARG_X_FLOAT(packed_x), & unpacked_x, FABS_CLASS_TO_ACTION_MAP, PASS_RET_X_FLOAT(packed_result) OPT_EXCEPTION_INFO ); RETURN_X_FLOAT(packed_result); } #undef F_ENTRY_NAME #define F_ENTRY_NAME F_ITOF_NAME X_I_PROTO(F_ENTRY_NAME, packed_result, i) { UX_SIGN_TYPE sign; UX_FRACTION_DIGIT_TYPE msd, mask; UX_EXPONENT_TYPE exponent, cnt; UX_FLOAT unpacked_result; DECLARE_X_FLOAT(packed_result) EXCEPTION_INFO_DECL #define ITOF_SHIFT (BITS_PER_UX_FRACTION_DIGIT_TYPE - 32) sign = 0; msd = i; if ( i == 0 ) { exponent = 0; } else { exponent = 32; cnt = 16; if ( (UX_SIGNED_FRACTION_DIGIT_TYPE) msd < 0 ) { msd = -msd; sign = 1; } mask = ((UX_FRACTION_DIGIT_TYPE) 0xffff0000) << ITOF_SHIFT; msd = ((UX_FRACTION_DIGIT_TYPE) msd) << ITOF_SHIFT; while ( cnt ) { if ( (mask & msd) == 0 ) { msd <<= cnt; exponent -= cnt; } cnt >>= 1; mask <<= cnt; } } UX_SET_SIGN_EXP_MSD(&unpacked_result, sign, exponent, msd); PACK( &unpacked_result, PASS_RET_X_FLOAT(packed_result), /* Not Used */ 0, /* Not Used */ 0 OPT_EXCEPTION_INFO ); RETURN_X_FLOAT(packed_result); } #define LT 0 #define EQ 1 #define GT 2 #define UN 3 #define DO 4 #define NUM_CMP_BITS 3 #define CPACK(a,b,c,d,e,f,g,h,i,j) \ ( ((a) << (F_C_NEG_INF * NUM_CMP_BITS)) | \ ((b) << (F_C_NEG_NORM * NUM_CMP_BITS)) | \ ((c) << (F_C_NEG_DENORM * NUM_CMP_BITS)) | \ ((d) << (F_C_NEG_ZERO * NUM_CMP_BITS)) | \ ((e) << (F_C_POS_ZERO * NUM_CMP_BITS)) | \ ((f) << (F_C_POS_DENORM * NUM_CMP_BITS)) | \ ((g) << (F_C_POS_NORM * NUM_CMP_BITS)) | \ ((h) << (F_C_POS_INF * NUM_CMP_BITS)) | \ ((i) << (F_C_SIG_NAN * NUM_CMP_BITS)) | \ ((j) << (F_C_QUIET_NAN * NUM_CMP_BITS)) ) static U_INT_32 cmpTable[] = { /* -Inf -Nrm -Dnrm -Zero +Zero +Dnrm +Nrm +Inf SNaN QNaN) */ /* -----------------------------------------------------------------------*/ /* SNaN */ CPACK( UN, UN, UN, UN, UN, UN, UN, UN, UN, UN ), /* QNaN */ CPACK( UN, UN, UN, UN, UN, UN, UN, UN, UN, UN ), /* +Inf */ CPACK( GT, GT, GT, GT, GT, GT, GT, EQ, UN, UN ), /* -Inf */ CPACK( EQ, LT, LT, LT, LT, LT, LT, LT, UN, UN ), /* +Nrm */ CPACK( GT, GT, GT, GT, GT, GT, DO, LT, UN, UN ), /* -Nrm */ CPACK( GT, DO, LT, LT, LT, LT, LT, LT, UN, UN ), /* +Dnrm */ CPACK( GT, GT, GT, GT, GT, DO, LT, LT, UN, UN ), /* -Dnrm */ CPACK( GT, GT, DO, LT, LT, LT, LT, LT, UN, UN ), /* +Zero */ CPACK( GT, GT, GT, EQ, EQ, LT, LT, LT, UN, UN ), /* -Zero */ CPACK( GT, GT, GT, EQ, EQ, LT, LT, LT, UN, UN ), }; #if !defined(UX_CMP) # define UX_CMP __INTERNAL_NAME(ux_cmp__) #endif static int UX_CMP( WORD x_class, UX_FLOAT * unpacked_x, WORD y_class, UX_FLOAT * unpacked_y ) { UX_SIGN_TYPE sign; int i, order; WORD diff; order = (cmpTable[ x_class ] >> (NUM_CMP_BITS * y_class)) & MAKE_MASK(NUM_CMP_BITS,0); if ( order == DO ) { // Both arguments have the same sign diff = ((WORD) G_UX_EXPONENT(unpacked_x)) - ((WORD) G_UX_EXPONENT(unpacked_y)); if (diff == 0) { for (i = 0; i < NUM_UX_FRACTION_DIGITS; i++) { diff = G_UX_FRACTION_DIGIT(unpacked_x, i) - G_UX_FRACTION_DIGIT(unpacked_y, i); if ( diff != 0 ) break; } } sign = G_UX_SIGN( unpacked_x ); if ( diff > 0 ) { order = sign ? LT : GT; } else if ( diff < 0 ) { order = sign ? GT : LT; } else { order = EQ; } } return order; } #undef F_ENTRY_NAME #define F_ENTRY_NAME F_CMP_NAME I_XXI_PROTO(F_ENTRY_NAME, packed_x, packed_y, predicate) { WORD fp_class, x_class, y_class; UX_FLOAT unpacked_x, unpacked_y, unpacked_result; int order; EXCEPTION_INFO_DECL _X_FLOAT dummy; fp_class = UNPACK2( PASS_ARG_X_FLOAT(packed_x), PASS_ARG_X_FLOAT(packed_y), & unpacked_x, & unpacked_y, MUL_CLASS_TO_ACTION_MAP, &dummy OPT_EXCEPTION_INFO ); #define CLASS_MASK MAKE_MASK(F_C_CLASS_BIT_WIDTH,0); x_class = (fp_class >> F_C_CLASS_BIT_WIDTH) & CLASS_MASK; y_class = fp_class & CLASS_MASK; order = UX_CMP(x_class, &unpacked_x, y_class, &unpacked_y); return (predicate >> order) & 1; } #undef F_ENTRY_NAME #define F_ENTRY_NAME F_NEXTAFTER_NAME X_XX_PROTO(F_ENTRY_NAME, packed_result, packed_x, packed_y) { WORD fp_class, x_class, y_class, order; UX_FLOAT unpacked_x, unpacked_y; UX_EXPONENT_TYPE exponent; EXCEPTION_INFO_DECL DECLARE_X_FLOAT(packed_result) fp_class = UNPACK2( PASS_ARG_X_FLOAT(packed_x), PASS_ARG_X_FLOAT(packed_y), & unpacked_x, & unpacked_y, NEXTAFTER_CLASS_TO_ACTION_MAP, PASS_RET_X_FLOAT(packed_result) OPT_EXCEPTION_INFO ); if (0 > fp_class) RETURN_X_FLOAT(packed_result); x_class = (fp_class >> F_C_CLASS_BIT_WIDTH); y_class = fp_class & MAKE_MASK(F_C_CLASS_BIT_WIDTH,0); order = UX_CMP(x_class, &unpacked_x, y_class, &unpacked_y); // Create (denormalized) increment value CLR_UX_LOW_FRACTION( &unpacked_y ); P_UX_EXPONENT( &unpacked_y, G_UX_EXPONENT( &unpacked_x) ); if (order != EQ) { exponent = G_UX_EXPONENT( &unpacked_x); UX_SET_SIGN_EXP_MSD( &unpacked_y, order == LT ? 0 : UX_SIGN_BIT, exponent, 0); CLR_UX_LOW_FRACTION( &unpacked_y ); P_UX_LSD( &unpacked_y, 1 << 15 ); ADDSUB( &unpacked_x, &unpacked_y, ADD, &unpacked_x); } PACK( &unpacked_x, PASS_RET_X_FLOAT(packed_result), G_UX_SIGN(&unpacked_x) ? FMA_NEG_UNDERFLOW : FMA_POS_UNDERFLOW, G_UX_SIGN(&unpacked_x) ? FMA_NEG_OVERFLOW : FMA_POS_OVERFLOW OPT_EXCEPTION_INFO ); RETURN_X_FLOAT(packed_result); } #if defined(MAKE_INCLUDE) @divert -append divertText # undef TABLE_NAME START_TABLE; TABLE_COMMENT("Negate class-to-action-mapping"); PRINT_CLASS_TO_ACTION_TBL_DEF( "NEGATE_CLASS_TO_ACTION_MAP"); PRINT_64_TBL_ITEM( CLASS_TO_ACTION_DISP(0) + CLASS_TO_ACTION( F_C_NEG_INF, RETURN_NEGATIVE, 0) + CLASS_TO_ACTION( F_C_NEG_NORM, RETURN_NEGATIVE, 0) + CLASS_TO_ACTION( F_C_NEG_DENORM, RETURN_NEGATIVE, 0) + CLASS_TO_ACTION( F_C_NEG_ZERO, RETURN_NEGATIVE, 0) + CLASS_TO_ACTION( F_C_POS_ZERO, RETURN_NEGATIVE, 0) + CLASS_TO_ACTION( F_C_POS_DENORM, RETURN_NEGATIVE, 0) + CLASS_TO_ACTION( F_C_POS_NORM, RETURN_NEGATIVE, 0) + CLASS_TO_ACTION( F_C_POS_INF, RETURN_NEGATIVE, 0) + CLASS_TO_ACTION( F_C_SIG_NAN, RETURN_NEGATIVE, 0) + CLASS_TO_ACTION( F_C_QUIET_NAN, RETURN_NEGATIVE, 0)); TABLE_COMMENT("Fabs class-to-action-mapping"); PRINT_CLASS_TO_ACTION_TBL_DEF( "FABS_CLASS_TO_ACTION_MAP"); PRINT_64_TBL_ITEM( CLASS_TO_ACTION_DISP(0) + CLASS_TO_ACTION( F_C_NEG_INF, RETURN_NEGATIVE, 0) + CLASS_TO_ACTION( F_C_NEG_NORM, RETURN_NEGATIVE, 0) + CLASS_TO_ACTION( F_C_NEG_DENORM, RETURN_NEGATIVE, 0) + CLASS_TO_ACTION( F_C_NEG_ZERO, RETURN_NEGATIVE, 0) + CLASS_TO_ACTION( F_C_POS_ZERO, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_DENORM, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_NORM, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_INF, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_SIG_NAN, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_QUIET_NAN, RETURN_VALUE, 0)); TABLE_COMMENT("Nextafter class-to-action-mapping"); PRINT_CLASS_TO_ACTION_TBL_DEF( "NEXTAFTER_CLASS_TO_ACTION_MAP"); /* Index 0: mapping for x */ PRINT_64_TBL_ITEM( CLASS_TO_ACTION_DISP(0) + CLASS_TO_ACTION( F_C_SIG_NAN, RETURN_QUIET_NAN, 0) + CLASS_TO_ACTION( F_C_QUIET_NAN, RETURN_VALUE, 0) ); /* Index 1: class-to-index mapping */ PRINT_64_TBL_ITEM( CLASS_TO_INDEX( F_C_POS_ZERO, 2) + CLASS_TO_INDEX( F_C_NEG_ZERO, 2) + CLASS_TO_INDEX( F_C_POS_DENORM, 2) + CLASS_TO_INDEX( F_C_NEG_DENORM, 2) + CLASS_TO_INDEX( F_C_POS_NORM, 2) + CLASS_TO_INDEX( F_C_NEG_NORM, 2) + CLASS_TO_INDEX( F_C_POS_INF, 2) + CLASS_TO_INDEX( F_C_NEG_INF, 2) ); /* Index 2: y class-to-index mapping for x != SNaN or QNaN */ PRINT_64_TBL_ITEM( CLASS_TO_ACTION_DISP(0) + CLASS_TO_ACTION( F_C_SIG_NAN, RETURN_QUIET_NAN, 1) + CLASS_TO_ACTION( F_C_QUIET_NAN, RETURN_VALUE, 1) ); TABLE_COMMENT("Multiply class-to-action-mapping"); PRINT_CLASS_TO_ACTION_TBL_DEF( "MUL_CLASS_TO_ACTION_MAP"); /* Index 0: mapping for x */ PRINT_64_TBL_ITEM( CLASS_TO_ACTION_DISP(5) + CLASS_TO_ACTION( F_C_SIG_NAN, RETURN_QUIET_NAN, 0) + CLASS_TO_ACTION( F_C_QUIET_NAN, RETURN_VALUE, 0) ); /* Index 1: class-to-index mapping */ PRINT_64_TBL_ITEM( CLASS_TO_INDEX( F_C_POS_ZERO, 2) + CLASS_TO_INDEX( F_C_NEG_ZERO, 2) + CLASS_TO_INDEX( F_C_NEG_DENORM, 3) + CLASS_TO_INDEX( F_C_NEG_NORM, 3) + CLASS_TO_INDEX( F_C_POS_DENORM, 4) + CLASS_TO_INDEX( F_C_POS_NORM, 4) + CLASS_TO_INDEX( F_C_POS_INF, 5) + CLASS_TO_INDEX( F_C_NEG_INF, 5) ); /* Index 2: y class-to-index mapping for x = +/- zero */ PRINT_64_TBL_ITEM( CLASS_TO_ACTION_DISP(3) + CLASS_TO_ACTION( F_C_NEG_INF, RETURN_ERROR, 2) + CLASS_TO_ACTION( F_C_NEG_NORM, RETURN_NEGATIVE, 0) + CLASS_TO_ACTION( F_C_NEG_DENORM, RETURN_NEGATIVE, 0) + CLASS_TO_ACTION( F_C_NEG_ZERO, RETURN_NEGATIVE, 0) + CLASS_TO_ACTION( F_C_POS_ZERO, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_DENORM, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_NORM, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_INF, RETURN_ERROR, 2) + CLASS_TO_ACTION( F_C_SIG_NAN, RETURN_QUIET_NAN, 1) + CLASS_TO_ACTION( F_C_QUIET_NAN, RETURN_VALUE, 1)); /* Index 3: y class-to-index mapping for x = -norm or -denorm */ PRINT_64_TBL_ITEM( CLASS_TO_ACTION_DISP(2) + CLASS_TO_ACTION( F_C_NEG_INF, RETURN_NEGATIVE, 1) + CLASS_TO_ACTION( F_C_NEG_NORM, RETURN_UNPACKED, 1) + CLASS_TO_ACTION( F_C_NEG_DENORM, RETURN_UNPACKED, 1) + CLASS_TO_ACTION( F_C_NEG_ZERO, RETURN_NEGATIVE, 1) + CLASS_TO_ACTION( F_C_POS_ZERO, RETURN_NEGATIVE, 1) + CLASS_TO_ACTION( F_C_POS_DENORM, RETURN_UNPACKED, 1) + CLASS_TO_ACTION( F_C_POS_NORM, RETURN_UNPACKED, 1) + CLASS_TO_ACTION( F_C_POS_INF, RETURN_NEGATIVE, 1) + CLASS_TO_ACTION( F_C_SIG_NAN, RETURN_QUIET_NAN, 1) + CLASS_TO_ACTION( F_C_QUIET_NAN, RETURN_VALUE, 1)); /* Index 4: y class-to-index mapping for x = +norm or +denorm */ PRINT_64_TBL_ITEM( CLASS_TO_ACTION_DISP(1) + CLASS_TO_ACTION( F_C_NEG_INF, RETURN_VALUE, 1) + CLASS_TO_ACTION( F_C_NEG_NORM, RETURN_UNPACKED, 1) + CLASS_TO_ACTION( F_C_NEG_DENORM, RETURN_UNPACKED, 1) + CLASS_TO_ACTION( F_C_NEG_ZERO, RETURN_VALUE, 1) + CLASS_TO_ACTION( F_C_POS_ZERO, RETURN_VALUE, 1) + CLASS_TO_ACTION( F_C_POS_DENORM, RETURN_UNPACKED, 1) + CLASS_TO_ACTION( F_C_POS_NORM, RETURN_UNPACKED, 1) + CLASS_TO_ACTION( F_C_POS_INF, RETURN_VALUE, 1) + CLASS_TO_ACTION( F_C_SIG_NAN, RETURN_QUIET_NAN, 1) + CLASS_TO_ACTION( F_C_QUIET_NAN, RETURN_VALUE, 1)); /* Index 5: y class-to-index mapping for x = +/-Inf */ PRINT_64_TBL_ITEM( CLASS_TO_ACTION_DISP(0) + CLASS_TO_ACTION( F_C_NEG_INF, RETURN_NEGATIVE, 0) + CLASS_TO_ACTION( F_C_NEG_NORM, RETURN_NEGATIVE, 0) + CLASS_TO_ACTION( F_C_NEG_DENORM, RETURN_NEGATIVE, 0) + CLASS_TO_ACTION( F_C_NEG_ZERO, RETURN_ERROR, 2) + CLASS_TO_ACTION( F_C_POS_ZERO, RETURN_ERROR, 2) + CLASS_TO_ACTION( F_C_POS_DENORM, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_NORM, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_INF, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_SIG_NAN, RETURN_QUIET_NAN, 1) + CLASS_TO_ACTION( F_C_QUIET_NAN, RETURN_VALUE, 1)); TABLE_COMMENT("Data for the above mapping"); PRINT_U_TBL_ITEM( /* data 2 */ MUL_ZERO_BY_INF ); TABLE_COMMENT("Divide class-to-action-mapping"); PRINT_CLASS_TO_ACTION_TBL_DEF( "DIV_CLASS_TO_ACTION_MAP"); /* Index 0: mapping for x */ PRINT_64_TBL_ITEM( CLASS_TO_ACTION_DISP(5) + CLASS_TO_ACTION( F_C_SIG_NAN, RETURN_QUIET_NAN, 0) + CLASS_TO_ACTION( F_C_QUIET_NAN, RETURN_VALUE, 0) ); /* Index 1: class-to-index mapping */ PRINT_64_TBL_ITEM( CLASS_TO_INDEX( F_C_POS_ZERO, 2) + CLASS_TO_INDEX( F_C_NEG_ZERO, 2) + CLASS_TO_INDEX( F_C_NEG_DENORM, 3) + CLASS_TO_INDEX( F_C_NEG_NORM, 3) + CLASS_TO_INDEX( F_C_POS_DENORM, 4) + CLASS_TO_INDEX( F_C_POS_NORM, 4) + CLASS_TO_INDEX( F_C_POS_INF, 5) + CLASS_TO_INDEX( F_C_NEG_INF, 5) ); /* Index 2: y class-to-index mapping for x = +/- zero */ PRINT_64_TBL_ITEM( CLASS_TO_ACTION_DISP(3) + CLASS_TO_ACTION( F_C_NEG_INF, RETURN_NEGATIVE, 0) + CLASS_TO_ACTION( F_C_NEG_NORM, RETURN_NEGATIVE, 0) + CLASS_TO_ACTION( F_C_NEG_DENORM, RETURN_NEGATIVE, 0) + CLASS_TO_ACTION( F_C_NEG_ZERO, RETURN_ERROR, 3) + CLASS_TO_ACTION( F_C_POS_ZERO, RETURN_ERROR, 3) + CLASS_TO_ACTION( F_C_POS_DENORM, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_NORM, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_INF, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_SIG_NAN, RETURN_QUIET_NAN, 1) + CLASS_TO_ACTION( F_C_QUIET_NAN, RETURN_VALUE, 1)); /* Index 3: y class-to-index mapping for x = -norm or -denorm */ PRINT_64_TBL_ITEM( CLASS_TO_ACTION_DISP(2) + CLASS_TO_ACTION( F_C_NEG_INF, RETURN_VALUE, 2) + CLASS_TO_ACTION( F_C_NEG_NORM, RETURN_UNPACKED, 1) + CLASS_TO_ACTION( F_C_NEG_DENORM, RETURN_UNPACKED, 1) + CLASS_TO_ACTION( F_C_NEG_ZERO, RETURN_ERROR, 4) + CLASS_TO_ACTION( F_C_POS_ZERO, RETURN_ERROR, 5) + CLASS_TO_ACTION( F_C_POS_DENORM, RETURN_UNPACKED, 1) + CLASS_TO_ACTION( F_C_POS_NORM, RETURN_UNPACKED, 1) + CLASS_TO_ACTION( F_C_POS_INF, RETURN_NEGATIVE, 2) + CLASS_TO_ACTION( F_C_SIG_NAN, RETURN_QUIET_NAN, 1) + CLASS_TO_ACTION( F_C_QUIET_NAN, RETURN_VALUE, 1)); /* Index 4: y class-to-index mapping for x = +norm or +denorm */ PRINT_64_TBL_ITEM( CLASS_TO_ACTION_DISP(1) + CLASS_TO_ACTION( F_C_NEG_INF, RETURN_NEGATIVE, 2) + CLASS_TO_ACTION( F_C_NEG_NORM, RETURN_UNPACKED, 1) + CLASS_TO_ACTION( F_C_NEG_DENORM, RETURN_UNPACKED, 1) + CLASS_TO_ACTION( F_C_NEG_ZERO, RETURN_ERROR, 5) + CLASS_TO_ACTION( F_C_POS_ZERO, RETURN_ERROR, 4) + CLASS_TO_ACTION( F_C_POS_DENORM, RETURN_UNPACKED, 1) + CLASS_TO_ACTION( F_C_POS_NORM, RETURN_UNPACKED, 1) + CLASS_TO_ACTION( F_C_POS_INF, RETURN_VALUE, 2) + CLASS_TO_ACTION( F_C_SIG_NAN, RETURN_QUIET_NAN, 1) + CLASS_TO_ACTION( F_C_QUIET_NAN, RETURN_VALUE, 1)); /* Index 5: y class-to-index mapping for x = +/-Inf */ PRINT_64_TBL_ITEM( CLASS_TO_ACTION_DISP(0) + CLASS_TO_ACTION( F_C_NEG_INF, RETURN_ERROR, 6) + CLASS_TO_ACTION( F_C_NEG_NORM, RETURN_NEGATIVE, 0) + CLASS_TO_ACTION( F_C_NEG_DENORM, RETURN_NEGATIVE, 0) + CLASS_TO_ACTION( F_C_NEG_ZERO, RETURN_NEGATIVE, 0) + CLASS_TO_ACTION( F_C_POS_ZERO, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_DENORM, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_NORM, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_INF, RETURN_ERROR, 6) + CLASS_TO_ACTION( F_C_SIG_NAN, RETURN_QUIET_NAN, 1) + CLASS_TO_ACTION( F_C_QUIET_NAN, RETURN_VALUE, 1)); TABLE_COMMENT("Data for the above mapping"); PRINT_U_TBL_ITEM( /* data 2 */ ZERO ); PRINT_U_TBL_ITEM( /* data 3 */ DIV_ZERO_BY_ZERO ); PRINT_U_TBL_ITEM( /* data 4 */ DIV_BY_ZERO_POS ); PRINT_U_TBL_ITEM( /* data 5 */ DIV_BY_ZERO_NEG ); PRINT_U_TBL_ITEM( /* data 6 */ DIV_INF_BY_INF ); TABLE_COMMENT("Addition class-to-action-mapping"); PRINT_CLASS_TO_ACTION_TBL_DEF( "ADDITION_CLASS_TO_ACTION_MAP"); /* Index 0: mapping for x */ PRINT_64_TBL_ITEM( CLASS_TO_ACTION_DISP(5) + CLASS_TO_ACTION( F_C_SIG_NAN, RETURN_QUIET_NAN, 0) + CLASS_TO_ACTION( F_C_QUIET_NAN, RETURN_VALUE, 0) ); /* Index 1: class-to-index mapping */ PRINT_64_TBL_ITEM( CLASS_TO_INDEX( F_C_POS_ZERO, 2) + CLASS_TO_INDEX( F_C_NEG_ZERO, 2) + CLASS_TO_INDEX( F_C_NEG_DENORM, 3) + CLASS_TO_INDEX( F_C_NEG_NORM, 3) + CLASS_TO_INDEX( F_C_POS_DENORM, 3) + CLASS_TO_INDEX( F_C_POS_NORM, 3) + CLASS_TO_INDEX( F_C_NEG_INF, 4) + CLASS_TO_INDEX( F_C_POS_INF, 5) ); /* Index 2: y class-to-index mapping for x = +/- zero */ PRINT_64_TBL_ITEM( CLASS_TO_ACTION_DISP(3) + CLASS_TO_ACTION( F_C_NEG_INF, RETURN_VALUE, 1) + CLASS_TO_ACTION( F_C_NEG_NORM, RETURN_VALUE, 1) + CLASS_TO_ACTION( F_C_NEG_DENORM, RETURN_VALUE, 1) + CLASS_TO_ACTION( F_C_NEG_ZERO, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_ZERO, RETURN_VALUE, 1) + CLASS_TO_ACTION( F_C_POS_DENORM, RETURN_VALUE, 1) + CLASS_TO_ACTION( F_C_POS_NORM, RETURN_VALUE, 1) + CLASS_TO_ACTION( F_C_POS_INF, RETURN_VALUE, 1) + CLASS_TO_ACTION( F_C_SIG_NAN, RETURN_QUIET_NAN, 1) + CLASS_TO_ACTION( F_C_QUIET_NAN, RETURN_VALUE, 1)); /* Index 3: y class-to-index mapping for x = +/-norm or +/-denorm */ PRINT_64_TBL_ITEM( CLASS_TO_ACTION_DISP(2) + CLASS_TO_ACTION( F_C_NEG_INF, RETURN_VALUE, 1) + CLASS_TO_ACTION( F_C_NEG_NORM, RETURN_UNPACKED, 1) + CLASS_TO_ACTION( F_C_NEG_DENORM, RETURN_UNPACKED, 1) + CLASS_TO_ACTION( F_C_NEG_ZERO, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_ZERO, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_DENORM, RETURN_UNPACKED, 1) + CLASS_TO_ACTION( F_C_POS_NORM, RETURN_UNPACKED, 1) + CLASS_TO_ACTION( F_C_POS_INF, RETURN_VALUE, 1) + CLASS_TO_ACTION( F_C_SIG_NAN, RETURN_QUIET_NAN, 1) + CLASS_TO_ACTION( F_C_QUIET_NAN, RETURN_VALUE, 1)); /* Index 4: y class-to-index mapping for x = -Inf */ PRINT_64_TBL_ITEM( CLASS_TO_ACTION_DISP(1) + CLASS_TO_ACTION( F_C_NEG_INF, RETURN_VALUE, 1) + CLASS_TO_ACTION( F_C_NEG_NORM, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_NEG_DENORM, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_NEG_ZERO, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_ZERO, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_DENORM, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_NORM, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_INF, RETURN_ERROR, 2) + CLASS_TO_ACTION( F_C_SIG_NAN, RETURN_QUIET_NAN, 1) + CLASS_TO_ACTION( F_C_QUIET_NAN, RETURN_VALUE, 1)); /* Index 5: y class-to-index mapping for x = +Inf */ PRINT_64_TBL_ITEM( CLASS_TO_ACTION_DISP(0) + CLASS_TO_ACTION( F_C_NEG_INF, RETURN_ERROR, 2) + CLASS_TO_ACTION( F_C_NEG_NORM, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_NEG_DENORM, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_NEG_ZERO, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_ZERO, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_DENORM, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_NORM, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_INF, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_SIG_NAN, RETURN_QUIET_NAN, 1) + CLASS_TO_ACTION( F_C_QUIET_NAN, RETURN_VALUE, 1)); TABLE_COMMENT("Data for the above mapping"); PRINT_U_TBL_ITEM( /* data 2 */ ADD_PINF_TO_NINF ); TABLE_COMMENT("Subtraction class-to-action-mapping"); PRINT_CLASS_TO_ACTION_TBL_DEF( "SUBTRACTION_CLASS_TO_ACTION_MAP"); /* Index 0: mapping for x */ PRINT_64_TBL_ITEM( CLASS_TO_ACTION_DISP(5) + CLASS_TO_ACTION( F_C_SIG_NAN, RETURN_QUIET_NAN, 0) + CLASS_TO_ACTION( F_C_QUIET_NAN, RETURN_VALUE, 0) ); /* Index 1: class-to-index mapping */ PRINT_64_TBL_ITEM( CLASS_TO_INDEX( F_C_POS_ZERO, 2) + CLASS_TO_INDEX( F_C_NEG_ZERO , 2) + CLASS_TO_INDEX( F_C_NEG_DENORM, 3) + CLASS_TO_INDEX( F_C_NEG_NORM, 3) + CLASS_TO_INDEX( F_C_POS_DENORM, 3) + CLASS_TO_INDEX( F_C_POS_NORM, 3) + CLASS_TO_INDEX( F_C_NEG_INF, 4) + CLASS_TO_INDEX( F_C_POS_INF, 5) ); /* Index 2: y class-to-index mapping for x = +/- zero */ PRINT_64_TBL_ITEM( CLASS_TO_ACTION_DISP(3) + CLASS_TO_ACTION( F_C_NEG_INF, RETURN_NEGATIVE, 1) + CLASS_TO_ACTION( F_C_NEG_NORM, RETURN_NEGATIVE, 1) + CLASS_TO_ACTION( F_C_NEG_DENORM, RETURN_NEGATIVE, 1) + CLASS_TO_ACTION( F_C_NEG_ZERO , RETURN_NEGATIVE, 1) + CLASS_TO_ACTION( F_C_POS_ZERO, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_DENORM, RETURN_NEGATIVE, 1) + CLASS_TO_ACTION( F_C_POS_NORM, RETURN_NEGATIVE, 1) + CLASS_TO_ACTION( F_C_POS_INF, RETURN_NEGATIVE, 1) + CLASS_TO_ACTION( F_C_SIG_NAN, RETURN_QUIET_NAN, 1) + CLASS_TO_ACTION( F_C_QUIET_NAN, RETURN_VALUE, 1)); /* Index 3: y class-to-index mapping for x = +/-norm or +/-denorm */ PRINT_64_TBL_ITEM( CLASS_TO_ACTION_DISP(2) + CLASS_TO_ACTION( F_C_NEG_INF, RETURN_NEGATIVE, 1) + CLASS_TO_ACTION( F_C_NEG_NORM, RETURN_UNPACKED, 1) + CLASS_TO_ACTION( F_C_NEG_DENORM, RETURN_UNPACKED, 1) + CLASS_TO_ACTION( F_C_NEG_ZERO , RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_ZERO, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_DENORM, RETURN_UNPACKED, 1) + CLASS_TO_ACTION( F_C_POS_NORM, RETURN_UNPACKED, 1) + CLASS_TO_ACTION( F_C_POS_INF, RETURN_NEGATIVE, 1) + CLASS_TO_ACTION( F_C_SIG_NAN, RETURN_QUIET_NAN, 1) + CLASS_TO_ACTION( F_C_QUIET_NAN, RETURN_VALUE, 1)); /* Index 4: y class-to-index mapping for x = -Inf */ PRINT_64_TBL_ITEM( CLASS_TO_ACTION_DISP(1) + CLASS_TO_ACTION( F_C_NEG_INF, RETURN_ERROR, 2) + CLASS_TO_ACTION( F_C_NEG_NORM, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_NEG_DENORM, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_NEG_ZERO , RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_ZERO, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_DENORM, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_NORM, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_INF, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_SIG_NAN, RETURN_QUIET_NAN, 1) + CLASS_TO_ACTION( F_C_QUIET_NAN, RETURN_VALUE, 1)); /* Index 5: y class-to-index mapping for x = +Inf */ PRINT_64_TBL_ITEM( CLASS_TO_ACTION_DISP(0) + CLASS_TO_ACTION( F_C_NEG_INF, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_NEG_NORM, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_NEG_DENORM, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_NEG_ZERO , RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_ZERO, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_DENORM, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_NORM, RETURN_VALUE, 0) + CLASS_TO_ACTION( F_C_POS_INF, RETURN_ERROR, 2) + CLASS_TO_ACTION( F_C_SIG_NAN, RETURN_QUIET_NAN, 1) + CLASS_TO_ACTION( F_C_QUIET_NAN, RETURN_VALUE, 1)); TABLE_COMMENT("Data for the above mapping"); PRINT_U_TBL_ITEM( /* data 2 */ SUB_INF_FROM_INF ); PAD_IF_NEEDED(MP_BIT_OFFSET, 64); /* Print various powers of 2 */ TABLE_COMMENT("2^n, n = .5, 0, 24, 75, -24, -77 in double precision"); PRINT_R_TBL_VDEF_ITEM( "D_SQRT_TWO\t", sqrt(2)); PRINT_R_TBL_VDEF_ITEM( "D_ONE\t\t", 1); PRINT_R_TBL_VDEF_ITEM( "D_TWO_POW_24\t", bldexp(1, 24)); PRINT_R_TBL_VDEF_ITEM( "D_TWO_POW_75\t", bldexp(1, 75)); PRINT_R_TBL_VDEF_ITEM( "D_RECIP_TWO_POW_24", bldexp(1, -24)); PRINT_R_TBL_VDEF_ITEM( "D_RECIP_TWO_POW_77", bldexp(1, -77)); TABLE_COMMENT( "Rsqrt iteration (double precision) constants: 7/8 and 3/8"); PRINT_R_TBL_VDEF_ITEM( "D_SEVEN_EIGHTS", 7/8); PRINT_R_TBL_VDEF_ITEM( "D_THREE_EIGHTS", 3/8); TABLE_COMMENT("3 in unpacked format"); PRINT_UX_TBL_ADEF_ITEM( "UX_THREE\t\t", 3); END_TABLE; @end_divert @eval my $tableText; \ my $outText = MphocEval( GetStream( "divertText" ) ); \ my $defineText = Egrep( "#define", $outText, \$tableText ); \ $outText = "$tableText\n\n$defineText"; \ my $headerText = GetHeaderText( STR(BUILD_FILE_NAME), \ "Definitions and constants square root " . \ "related routines", __FILE__ ); \ print "$headerText\n\n$outText\n"; #endif