# Data file for mpc_add. # # Copyright (C) 2008 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # The line format respects the parameter order in function prototype as # follow: # # INEX_RE INEX_IM PREC_ROP_RE ROP_RE PREC_ROP_IM ROP_IM PREC_OP1_RE OP1_RE PREC_OP1_IM OP1_IM PREC_OP2_RE OP2_RE PREC_OP2_IM OP2_IM RND_RE RND_IM # # where op1 = op1_re + i * op1_im, op2 = op2_re + i * op2_im, rop = rop_re + i * rop_im, # The data are read from the file and stored in variables op1, op2, rop using # rounding to nearest when needed, for instance: rop_re is ROP_RE rounded to # nearest to the precision of PREC_ROP_RE. # ROP_RE is checked against Re(op1 + op2) rounded to the precision PREC_ROP_RE # in the direction RND_RE # ROP_IM is checked against Im(op1 + op2) rounded to the precision PREC_ROP_IM # in the direction RND_IM # INEX_RE is the ternary value for the real part with the following notation: # "?" ternary value not checked # "+" if ROP_RE is greater than the exact mathematical result # "0" if ROP_RE is exactly the mathematical result # "-" if ROP_RE is less than the exact mathematical result # (m.m. INEX_IM) # rounding modes notation: # "N" is rounding to nearest # "Z" is rounding towards zero # "U" is rounding towards plus infinity # "D" is rounding towards minus infinity # Use prefixes "0b" for values in base two, "0x" for values in base sixteen, # no prefix for value in base ten. # In all bases, "nan" is NaN, "inf" is infinity; # The sign of the result is checked with "+inf", "-inf", "-0", or "+0". # special values (following ISO C99 standard) 0 0 53 -inf 53 -inf 53 -inf 53 -inf 53 -inf 53 -inf N Z 0 0 53 -inf 53 nan 53 -inf 53 +inf 53 +1 53 -inf Z U 0 0 53 +inf 53 -inf 53 +inf 53 -inf 53 +inf 53 +0 U D 0 0 53 +inf 53 +inf 53 +inf 53 +inf 53 -0 53 -1 D N 0 0 53 -inf 53 -inf 53 -inf 53 -inf 53 -0 53 -1 N U 0 0 53 nan 53 nan 53 -inf 53 +inf 53 +inf 53 nan Z D # check this is true in ISO C99 0 0 53 nan 53 -inf 53 +inf 53 -inf 53 nan 53 -1 U N 0 0 53 +inf 53 nan 53 +inf 53 +inf 53 -0 53 nan D Z 0 0 53 nan 53 nan 53 -inf 53 -inf 53 nan 53 nan N D 0 0 53 +inf 53 -inf 53 -1 53 -inf 53 +inf 53 -1 N D 0 0 53 nan 53 +1 53 -inf 53 +1 53 +inf 53 -0 Z N 0 0 53 +1 53 -inf 53 +1 53 -inf 53 -0 53 +1 U Z 0 0 53 +inf 53 +1 53 +inf 53 +1 53 -0 53 -0 D U 0 0 53 +inf 53 nan 53 -1 53 -inf 53 +inf 53 nan N N 0 0 53 nan 53 +2 53 -inf 53 +1 53 nan 53 +1 Z Z 0 0 53 +1 53 nan 53 +1 53 -inf 53 -0 53 nan U U # check this 0 0 53 nan 53 nan 53 +inf 53 +1 53 nan 53 nan D D 0 0 53 -0 53 nan 53 -0 53 -inf 53 +0 53 +inf D D 0 0 53 -inf 53 +0 53 -inf 53 +0 53 +1 53 -0 N Z 0 0 53 +0 53 -inf 53 +0 53 -inf 53 -0 53 -0 Z U 0 0 53 nan 53 nan 53 +inf 53 +0 53 -inf 53 nan U D # check 0 0 53 nan 53 -inf 53 -0 53 -inf 53 nan 53 -1 D N 0 0 53 -inf 53 nan 53 -inf 53 +0 53 +0 53 nan N U 0 0 53 nan 53 nan 53 +0 53 -inf 53 nan 53 nan Z D 0 0 53 +0 53 -0 53 +0 53 +1 53 -0 53 -1 Z D 0 0 53 -1 53 -0 53 -1 53 -0 53 +0 53 -0 U N 0 0 53 nan 53 +inf 53 -0 53 +1 53 nan 53 +inf D Z 0 0 53 +0 53 nan 53 +1 53 -0 53 -1 53 nan N D 0 0 53 nan 53 +1 53 +0 53 +1 53 nan 53 -0 Z N 0 0 53 nan 53 nan 53 -1 53 -0 53 nan 53 nan U Z 0 0 53 +0 53 +0 53 -0 53 +0 53 +0 53 -0 U Z 0 0 53 nan 53 -inf 53 +0 53 -0 53 nan 53 -inf D U 0 0 53 -1 53 nan 53 +0 53 +0 53 -1 53 nan N N 0 0 53 nan 53 -0 53 -0 53 -0 53 nan 53 -0 Z Z 0 0 53 nan 53 nan 53 -0 53 +0 53 nan 53 nan U U 0 0 53 nan 53 nan 53 nan 53 -inf 53 nan 53 +inf U U # check 0 0 53 +inf 53 nan 53 +inf 53 nan 53 -1 53 nan D D 0 0 53 nan 53 -inf 53 nan 53 -inf 53 nan 53 -0 N Z 0 0 53 nan 53 nan 53 -inf 53 nan 53 nan 53 nan Z U # check 0 0 53 nan 53 nan 53 +1 53 nan 53 nan 53 -1 Z U 0 0 53 nan 53 nan 53 nan 53 +1 53 -0 53 nan U D 0 0 53 nan 53 nan 53 -1 53 nan 53 nan 53 nan D N 0 0 53 nan 53 nan 53 nan 53 +0 53 +0 53 nan D N 0 0 53 nan 53 nan 53 +0 53 nan 53 nan 53 nan N U 0 0 53 nan 53 nan 53 nan 53 nan 53 nan 53 nan N U # pure real argument + 0 53 0x10000000000001p-52 53 -0 53 +1 53 -0 53 0x10000000000001p-105 53 -0 N N - 0 53 0x10000000000000p-52 53 -0 53 +1 53 -0 53 0x10000000000001p-105 53 -0 Z Z + 0 53 0x10000000000001p-52 53 -0 53 +1 53 -0 53 0x10000000000001p-105 53 -0 U U - 0 53 0x10000000000000p-52 53 -0 53 +1 53 -0 53 0x10000000000001p-105 53 -0 D D # pure imaginary argument 0 + 53 -0 53 0x10000000000001p-52 53 -0 53 0x10000000000001p-105 53 -0 53 +1 N N 0 - 53 +0 53 0x10000000000000p-52 53 +0 53 0x10000000000001p-105 53 -0 53 +1 Z Z 0 + 53 +0 53 0x10000000000001p-52 53 +0 53 0x10000000000001p-105 53 -0 53 +1 U U 0 - 53 -0 53 0x10000000000000p-52 53 -0 53 0x10000000000001p-105 53 -0 53 +1 D D