Commit 4c763af2 authored by MARCHE Claude's avatar MARCHE Claude
Browse files

Added a lemma on real.PowerInt.power + updated Coq realizations

parent 69dc560d
<?xml version="1.0" encoding="UTF-8"?> <?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE why3session SYSTEM "/home/marche/why3/share/why3session.dtd"> <!DOCTYPE why3session SYSTEM "/home/marche/why3/share/why3session.dtd">
<why3session <why3session
name="examples/check-builtin/real/why3session.xml" shape_version="2"> name="check-builtin/real/why3session.xml" shape_version="2">
<prover <prover
id="0" id="0"
name="Alt-Ergo" name="Alt-Ergo"
...@@ -40,13 +40,13 @@ ...@@ -40,13 +40,13 @@
expanded="true"> expanded="true">
<theory <theory
name="Test" name="Test"
locfile="examples/check-builtin/real/../real.why" locfile="check-builtin/real/../real.why"
loclnum="1" loccnumb="7" loccnume="11" loclnum="1" loccnumb="7" loccnume="11"
verified="true" verified="true"
expanded="false"> expanded="false">
<goal <goal
name="G1" name="G1"
locfile="examples/check-builtin/real/../real.why" locfile="check-builtin/real/../real.why"
loclnum="3" loccnumb="7" loccnume="9" loclnum="3" loccnumb="7" loccnume="9"
sum="f207e29e9079f1be6781c87d4c160c81" sum="f207e29e9079f1be6781c87d4c160c81"
proved="true" proved="true"
...@@ -74,7 +74,7 @@ ...@@ -74,7 +74,7 @@
memlimit="0" memlimit="0"
obsolete="false" obsolete="false"
archived="false"> archived="false">
<result status="valid" time="0.00"/> <result status="valid" time="0.01"/>
</proof> </proof>
<proof <proof
prover="3" prover="3"
...@@ -106,12 +106,12 @@ ...@@ -106,12 +106,12 @@
memlimit="0" memlimit="0"
obsolete="false" obsolete="false"
archived="false"> archived="false">
<result status="valid" time="0.00"/> <result status="valid" time="0.01"/>
</proof> </proof>
</goal> </goal>
<goal <goal
name="G2" name="G2"
locfile="examples/check-builtin/real/../real.why" locfile="check-builtin/real/../real.why"
loclnum="4" loccnumb="7" loccnume="9" loclnum="4" loccnumb="7" loccnume="9"
sum="9e04fefcbd74163191244b6b8d7562ea" sum="9e04fefcbd74163191244b6b8d7562ea"
proved="true" proved="true"
...@@ -139,7 +139,7 @@ ...@@ -139,7 +139,7 @@
memlimit="0" memlimit="0"
obsolete="false" obsolete="false"
archived="false"> archived="false">
<result status="valid" time="0.00"/> <result status="valid" time="0.01"/>
</proof> </proof>
<proof <proof
prover="3" prover="3"
...@@ -168,7 +168,7 @@ ...@@ -168,7 +168,7 @@
</goal> </goal>
<goal <goal
name="G3" name="G3"
locfile="examples/check-builtin/real/../real.why" locfile="check-builtin/real/../real.why"
loclnum="5" loccnumb="7" loccnume="9" loclnum="5" loccnumb="7" loccnume="9"
sum="1a2d5acb41bac2a5d5a5ae9a44802cf2" sum="1a2d5acb41bac2a5d5a5ae9a44802cf2"
proved="true" proved="true"
...@@ -218,13 +218,13 @@ ...@@ -218,13 +218,13 @@
</theory> </theory>
<theory <theory
name="TestInfix" name="TestInfix"
locfile="examples/check-builtin/real/../real.why" locfile="check-builtin/real/../real.why"
loclnum="8" loccnumb="7" loccnume="16" loclnum="8" loccnumb="7" loccnume="16"
verified="true" verified="true"
expanded="false"> expanded="false">
<goal <goal
name="Add" name="Add"
locfile="examples/check-builtin/real/../real.why" locfile="check-builtin/real/../real.why"
loclnum="10" loccnumb="7" loccnume="10" loclnum="10" loccnumb="7" loccnume="10"
sum="0e9baf7fe8694089437161de221049eb" sum="0e9baf7fe8694089437161de221049eb"
proved="true" proved="true"
...@@ -252,7 +252,7 @@ ...@@ -252,7 +252,7 @@
memlimit="0" memlimit="0"
obsolete="false" obsolete="false"
archived="false"> archived="false">
<result status="valid" time="0.01"/> <result status="valid" time="0.00"/>
</proof> </proof>
<proof <proof
prover="3" prover="3"
...@@ -281,7 +281,7 @@ ...@@ -281,7 +281,7 @@
</goal> </goal>
<goal <goal
name="Sub" name="Sub"
locfile="examples/check-builtin/real/../real.why" locfile="check-builtin/real/../real.why"
loclnum="11" loccnumb="7" loccnume="10" loclnum="11" loccnumb="7" loccnume="10"
sum="b96ec09f1f28908a2a176b392f18f9d1" sum="b96ec09f1f28908a2a176b392f18f9d1"
proved="true" proved="true"
...@@ -309,7 +309,7 @@ ...@@ -309,7 +309,7 @@
memlimit="0" memlimit="0"
obsolete="false" obsolete="false"
archived="false"> archived="false">
<result status="valid" time="0.01"/> <result status="valid" time="0.00"/>
</proof> </proof>
<proof <proof
prover="3" prover="3"
...@@ -338,7 +338,7 @@ ...@@ -338,7 +338,7 @@
</goal> </goal>
<goal <goal
name="Neg" name="Neg"
locfile="examples/check-builtin/real/../real.why" locfile="check-builtin/real/../real.why"
loclnum="12" loccnumb="7" loccnume="10" loclnum="12" loccnumb="7" loccnume="10"
sum="d23a894b757b84a44b8fff0618108d37" sum="d23a894b757b84a44b8fff0618108d37"
proved="true" proved="true"
...@@ -395,7 +395,7 @@ ...@@ -395,7 +395,7 @@
</goal> </goal>
<goal <goal
name="Mul" name="Mul"
locfile="examples/check-builtin/real/../real.why" locfile="check-builtin/real/../real.why"
loclnum="13" loccnumb="7" loccnume="10" loclnum="13" loccnumb="7" loccnume="10"
sum="e29404325109ec3f401b46eee6e14b98" sum="e29404325109ec3f401b46eee6e14b98"
proved="true" proved="true"
...@@ -452,7 +452,7 @@ ...@@ -452,7 +452,7 @@
</goal> </goal>
<goal <goal
name="Div" name="Div"
locfile="examples/check-builtin/real/../real.why" locfile="check-builtin/real/../real.why"
loclnum="14" loccnumb="7" loccnume="10" loclnum="14" loccnumb="7" loccnume="10"
sum="c06e2f7b6439bb0fb78135acce05d589" sum="c06e2f7b6439bb0fb78135acce05d589"
proved="true" proved="true"
...@@ -509,7 +509,7 @@ ...@@ -509,7 +509,7 @@
</goal> </goal>
<goal <goal
name="Inv" name="Inv"
locfile="examples/check-builtin/real/../real.why" locfile="check-builtin/real/../real.why"
loclnum="15" loccnumb="7" loccnume="10" loclnum="15" loccnumb="7" loccnume="10"
sum="7a5279ca7f27da7d779586f6eb3b0123" sum="7a5279ca7f27da7d779586f6eb3b0123"
proved="true" proved="true"
...@@ -537,7 +537,7 @@ ...@@ -537,7 +537,7 @@
memlimit="0" memlimit="0"
obsolete="false" obsolete="false"
archived="false"> archived="false">
<result status="valid" time="0.00"/> <result status="valid" time="0.01"/>
</proof> </proof>
<proof <proof
prover="3" prover="3"
...@@ -559,13 +559,13 @@ ...@@ -559,13 +559,13 @@
</theory> </theory>
<theory <theory
name="SquareTest" name="SquareTest"
locfile="examples/check-builtin/real/../real.why" locfile="check-builtin/real/../real.why"
loclnum="19" loccnumb="7" loccnume="17" loclnum="19" loccnumb="7" loccnume="17"
verified="true" verified="true"
expanded="false"> expanded="false">
<goal <goal
name="Sqrt_zero" name="Sqrt_zero"
locfile="examples/check-builtin/real/../real.why" locfile="check-builtin/real/../real.why"
loclnum="23" loccnumb="8" loccnume="17" loclnum="23" loccnumb="8" loccnume="17"
sum="b353ced9b0f041c36c827f26d50b3acd" sum="b353ced9b0f041c36c827f26d50b3acd"
proved="true" proved="true"
...@@ -601,7 +601,7 @@ ...@@ -601,7 +601,7 @@
memlimit="0" memlimit="0"
obsolete="false" obsolete="false"
archived="false"> archived="false">
<result status="valid" time="0.00"/> <result status="valid" time="0.01"/>
</proof> </proof>
<proof <proof
prover="4" prover="4"
...@@ -617,12 +617,12 @@ ...@@ -617,12 +617,12 @@
memlimit="1000" memlimit="1000"
obsolete="false" obsolete="false"
archived="false"> archived="false">
<result status="valid" time="0.00"/> <result status="valid" time="0.02"/>
</proof> </proof>
</goal> </goal>
<goal <goal
name="Sqrt_one" name="Sqrt_one"
locfile="examples/check-builtin/real/../real.why" locfile="check-builtin/real/../real.why"
loclnum="24" loccnumb="8" loccnume="16" loclnum="24" loccnumb="8" loccnume="16"
sum="e8ec282b918f9ea65664f75b3f6ba8f4" sum="e8ec282b918f9ea65664f75b3f6ba8f4"
proved="true" proved="true"
...@@ -650,7 +650,7 @@ ...@@ -650,7 +650,7 @@
memlimit="0" memlimit="0"
obsolete="false" obsolete="false"
archived="false"> archived="false">
<result status="valid" time="0.00"/> <result status="valid" time="0.01"/>
</proof> </proof>
<proof <proof
prover="3" prover="3"
...@@ -679,7 +679,7 @@ ...@@ -679,7 +679,7 @@
</goal> </goal>
<goal <goal
name="Sqrt_four" name="Sqrt_four"
locfile="examples/check-builtin/real/../real.why" locfile="check-builtin/real/../real.why"
loclnum="25" loccnumb="8" loccnume="17" loclnum="25" loccnumb="8" loccnume="17"
sum="84ef0743ccce40f492768328498afce8" sum="84ef0743ccce40f492768328498afce8"
proved="true" proved="true"
...@@ -707,7 +707,7 @@ ...@@ -707,7 +707,7 @@
memlimit="0" memlimit="0"
obsolete="false" obsolete="false"
archived="false"> archived="false">
<result status="valid" time="0.01"/> <result status="valid" time="0.00"/>
</proof> </proof>
<proof <proof
prover="3" prover="3"
...@@ -727,23 +727,23 @@ ...@@ -727,23 +727,23 @@
</proof> </proof>
<proof <proof
prover="7" prover="7"
timelimit="66" timelimit="67"
memlimit="1000" memlimit="1000"
obsolete="false" obsolete="false"
archived="false"> archived="false">
<result status="valid" time="33.10"/> <result status="valid" time="32.60"/>
</proof> </proof>
</goal> </goal>
</theory> </theory>
<theory <theory
name="ExpLogTest" name="ExpLogTest"
locfile="examples/check-builtin/real/../real.why" locfile="check-builtin/real/../real.why"
loclnum="29" loccnumb="7" loccnume="17" loclnum="29" loccnumb="7" loccnume="17"
verified="true" verified="true"
expanded="true"> expanded="true">
<goal <goal
name="Log_e" name="Log_e"
locfile="examples/check-builtin/real/../real.why" locfile="check-builtin/real/../real.why"
loclnum="33" loccnumb="8" loccnume="13" loclnum="33" loccnumb="8" loccnume="13"
sum="da0b025851b39560876d3ece835be34c" sum="da0b025851b39560876d3ece835be34c"
proved="true" proved="true"
...@@ -787,21 +787,21 @@ ...@@ -787,21 +787,21 @@
memlimit="0" memlimit="0"
obsolete="false" obsolete="false"
archived="false"> archived="false">
<result status="valid" time="0.00"/> <result status="valid" time="0.01"/>
</proof> </proof>
</goal> </goal>
</theory> </theory>
<theory <theory
name="PowerIntTest" name="PowerIntTest"
locfile="examples/check-builtin/real/../real.why" locfile="check-builtin/real/../real.why"
loclnum="38" loccnumb="7" loccnume="19" loclnum="38" loccnumb="7" loccnume="19"
verified="true" verified="true"
expanded="true"> expanded="true">
<goal <goal
name="Pow_2_2" name="Pow_2_2"
locfile="examples/check-builtin/real/../real.why" locfile="check-builtin/real/../real.why"
loclnum="42" loccnumb="8" loccnume="15" loclnum="42" loccnumb="8" loccnume="15"
sum="fef17c8a45382b4eb8b4a61320e3c724" sum="0c57c43ad51efde644bc54caf05b6e35"
proved="true" proved="true"
expanded="true" expanded="true"
shape="ainfix =apowerc2.0c2c4.0"> shape="ainfix =apowerc2.0c2c4.0">
...@@ -811,7 +811,7 @@ ...@@ -811,7 +811,7 @@
memlimit="0" memlimit="0"
obsolete="false" obsolete="false"
archived="false"> archived="false">
<result status="valid" time="0.02"/> <result status="valid" time="0.01"/>
</proof> </proof>
<proof <proof
prover="2" prover="2"
...@@ -851,7 +851,7 @@ ...@@ -851,7 +851,7 @@
memlimit="0" memlimit="0"
obsolete="false" obsolete="false"
archived="false"> archived="false">
<result status="valid" time="0.02"/> <result status="valid" time="0.01"/>
</proof> </proof>
<proof <proof
prover="1" prover="1"
...@@ -865,13 +865,13 @@ ...@@ -865,13 +865,13 @@
</theory> </theory>
<theory <theory
name="PowerRealTest" name="PowerRealTest"
locfile="examples/check-builtin/real/../real.why" locfile="check-builtin/real/../real.why"
loclnum="47" loccnumb="7" loccnume="20" loclnum="47" loccnumb="7" loccnume="20"
verified="true" verified="true"
expanded="true"> expanded="true">
<goal <goal
name="Pow_2_2" name="Pow_2_2"
locfile="examples/check-builtin/real/../real.why" locfile="check-builtin/real/../real.why"
loclnum="51" loccnumb="8" loccnume="15" loclnum="51" loccnumb="8" loccnume="15"
sum="38a4f95c27069a2dc6dcd4d7442ce8f7" sum="38a4f95c27069a2dc6dcd4d7442ce8f7"
proved="true" proved="true"
...@@ -905,13 +905,13 @@ ...@@ -905,13 +905,13 @@
</theory> </theory>
<theory <theory
name="TrigonometryTest" name="TrigonometryTest"
locfile="examples/check-builtin/real/../real.why" locfile="check-builtin/real/../real.why"
loclnum="56" loccnumb="7" loccnume="23" loclnum="56" loccnumb="7" loccnume="23"
verified="false" verified="false"
expanded="true"> expanded="true">
<goal <goal
name="Cos_2_pi" name="Cos_2_pi"
locfile="examples/check-builtin/real/../real.why" locfile="check-builtin/real/../real.why"
loclnum="62" loccnumb="8" loccnume="16" loclnum="62" loccnumb="8" loccnume="16"
sum="fed2556e175a5a894d0c067466ee4ba5" sum="fed2556e175a5a894d0c067466ee4ba5"
proved="true" proved="true"
...@@ -923,7 +923,7 @@ ...@@ -923,7 +923,7 @@
memlimit="0" memlimit="0"
obsolete="false" obsolete="false"
archived="false"> archived="false">
<result status="valid" time="0.10"/> <result status="valid" time="0.11"/>
</proof> </proof>
<proof <proof
prover="0" prover="0"
...@@ -955,12 +955,12 @@ ...@@ -955,12 +955,12 @@
memlimit="0" memlimit="0"
obsolete="false" obsolete="false"
archived="false"> archived="false">
<result status="valid" time="0.08"/> <result status="valid" time="0.09"/>
</proof> </proof>
</goal> </goal>
<goal <goal
name="Sin_2_pi" name="Sin_2_pi"
locfile="examples/check-builtin/real/../real.why" locfile="check-builtin/real/../real.why"
loclnum="63" loccnumb="8" loccnume="16" loclnum="63" loccnumb="8" loccnume="16"
sum="f3bd7f5c25e900c5b9192d125cd94d8d" sum="f3bd7f5c25e900c5b9192d125cd94d8d"
proved="true" proved="true"
...@@ -972,7 +972,7 @@ ...@@ -972,7 +972,7 @@
memlimit="0" memlimit="0"
obsolete="false" obsolete="false"
archived="false"> archived="false">
<result status="valid" time="0.15"/> <result status="valid" time="0.16"/>
</proof> </proof>
<proof <proof
prover="0" prover="0"
...@@ -980,7 +980,7 @@ ...@@ -980,7 +980,7 @@
memlimit="1000" memlimit="1000"
obsolete="false" obsolete="false"
archived="false"> archived="false">
<result status="valid" time="3.94"/> <result status="valid" time="3.93"/>
</proof> </proof>
<proof <proof
prover="2" prover="2"
...@@ -1004,7 +1004,7 @@ ...@@ -1004,7 +1004,7 @@
memlimit="0" memlimit="0"
obsolete="false" obsolete="false"
archived="false"> archived="false">
<result status="valid" time="0.11"/> <result status="valid" time="0.12"/>
</proof> </proof>
<proof <proof
prover="1" prover="1"
...@@ -1012,12 +1012,12 @@ ...@@ -1012,12 +1012,12 @@
memlimit="1000" memlimit="1000"
obsolete="false" obsolete="false"
archived="false"> archived="false">
<result status="valid" time="3.34"/> <result status="valid" time="3.36"/>
</proof> </proof>
</goal> </goal>
<goal <goal
name="Tan_pi_3" name="Tan_pi_3"
locfile="examples/check-builtin/real/../real.why" locfile="check-builtin/real/../real.why"
loclnum="64" loccnumb="8" loccnume="16" loclnum="64" loccnumb="8" loccnume="16"
sum="71dffba24c326a5ef2b7a294be8367b5" sum="71dffba24c326a5ef2b7a294be8367b5"
proved="false" proved="false"
...@@ -1058,7 +1058,7 @@ ...@@ -1058,7 +1058,7 @@
</goal> </goal>
<goal <goal
name="Atan_1" name="Atan_1"
locfile="examples/check-builtin/real/../real.why" locfile="check-builtin/real/../real.why"
loclnum="65" loccnumb="8" loccnume="14" loclnum="65" loccnumb="8" loccnume="14"
sum="706631d649ed857b77c6d151ceb04080" sum="706631d649ed857b77c6d151ceb04080"
proved="false" proved="false"
......
...@@ -20,7 +20,7 @@ ...@@ -20,7 +20,7 @@
name="pow_eps2_max_int" name="pow_eps2_max_int"
locfile="tests-provers/coq-interval/../coq-interval.why" locfile="tests-provers/coq-interval/../coq-interval.why"
loclnum="6" loccnumb="7" loccnume="23" loclnum="6" loccnumb="7" loccnume="23"
sum="b5f712d3c2d0add5ba666a70b3ff7137" sum="a75e748716f4cb7390dac252de8caf94"
proved="true" proved="true"
expanded="true" expanded="true"
shape="ainfix &lt;=apowerainfix +c1.0ainfix +c0x7.p-50c0x3.p-53c2147483647c2.0"> shape="ainfix &lt;=apowerainfix +c1.0ainfix +c0x7.p-50c0x3.p-53c2147483647c2.0">
...@@ -31,7 +31,7 @@ ...@@ -31,7 +31,7 @@
edited="coqmninterval_P_pow_eps2_max_int_1.v" edited="coqmninterval_P_pow_eps2_max_int_1.v"
obsolete="false" obsolete="false"
archived="false"> archived="false">
<result status="valid" time="2.36"/> <result status="valid" time="2.32"/>
</proof> </proof>
</goal> </goal>
</theory>