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#!/bin/bash
# -*- compile-command: "mv -f compare.v{,~} && ./gen_compare.sh" -*-
set -e
exec > compare.v
cat <<EOF
(* DO NOT EDIT THIS FILE: automatically generated by ./gen_compare.sh *)
Require Import ZArith Floats.
Local Open Scope float_scope.
Definition min_denorm := Eval compute in Z.ldexp one (-1074)%Z.
Definition min_norm := Eval compute in Z.ldexp one (-1024)%Z.
EOF
genTest() {
if [ $# -ne 10 ]; then
echo >&2 "genTest expects 10 arguments"
fi
TACTICS=(":" "<:" "<<:")
OPS=("=?" "<?" "<=?" "?=")
x="$1"
y="$2"
OPS1=("$3" "$4" "$5" "$6") # for x y
OPS2=("$7" "$8" "$9" "${10}") # for y x
for tac in "${TACTICS[@]}"; do
for i in {0..3}; do
op="${OPS[$i]}"
op1="${OPS1[$i]}"
op2="${OPS2[$i]}"
echo "Check (eq_refl $op1 $tac $x $op $y = $op1)."
echo "Check (eq_refl $op2 $tac $y $op $x = $op2)."
done
echo
done
}
genTest nan nan \
false false false FNotComparable \
false false false FNotComparable
genTest nan "- nan" \
false false false FNotComparable \
false false false FNotComparable
EQ=(true false true FEq \
true false true FEq)
genTest one one "${EQ[@]}"
genTest zero zero "${EQ[@]}"
genTest zero "- zero" "${EQ[@]}"
genTest "- zero" "- zero" "${EQ[@]}"
genTest infinity infinity "${EQ[@]}"
genTest "- infinity" "- infinity" "${EQ[@]}"
LT=(false true true FLt \
false false false FGt)
genTest min_denorm min_norm "${LT[@]}"
genTest min_denorm one "${LT[@]}"
genTest min_norm one "${LT[@]}"
genTest one infinity "${LT[@]}"
genTest "- infinity" infinity "${LT[@]}"
genTest "- infinity" one "${LT[@]}"
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