File: test.ecm

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#!/bin/sh

# test file for ECM
#
# Copyright 2002, 2003, 2004, 2005, 2006, 2008, 2009, 2011, 2012, 2016
# Jim Fougeron, Alexander Kruppa, Dave Newman, Paul Zimmermann, Cyril Bouvier,
# David Cleaver.
#
# This program is free software; you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation; either version 3 of the License, or (at your
# option) any later version.
# 
# This program 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 General Public License for
# more details.
# 
# You should have received a copy of the GNU General Public License
# along with this program; see the file COPYING.  If not, see
# http://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
# 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA.

ECM="${1:-./ecm}"

GMPECM_DATADIR=${GMPECM_DATADIR:-.}

# Call with "checkcode $? n" to check that return code is n
# (see test.pm1 for the explanation of the different return codes)              
checkcode () {
  if [ $1 != $2 ]
  then
    echo "############### ERROR ###############"
    echo "Expected return code $2 but got $1"
    exit 1
  fi
}

case "$ECM"
in
*redc*) MUL="redc"
  ;;
*mpzmod*) MUL="mpzmod"
  ;;
*) MUL="modmuln"
esac

case "$ECM"
in
*valgrind*) VALGRIND=1
  ;;
*) VALGRIND=0
esac

# Exit statues returned by GMP-ECM:
# 0      Normal program termination, no factor found
# 1      Error
# 2      Composite factor found, cofactor is composite
# 6      (Probable) prime factor found, cofactor is composite
# 8      Input number found
# 10     Composite factor found, cofactor is a (probable) prime
# 14     (Probable) prime factor found, cofactor is a (probable) prime


# try primes < d in stage 2. Curve with sigma=7, mod 30210181 has order
# 2^4 * 3^3 * 29 * 2411
echo 2050449353925555290706354283 | $ECM -param 0 -sigma 7 -k 1 30 0-1e6; checkcode $? 14

# check -I option
echo 2050449353925555290706354283 | $ECM -param 0 -sigma 7 -k 1 -I 1 -c 2 3 0-1e6; checkcode $? 14

# exercise the -timestamp option
echo 2050449353925555290706354283 | $ECM -timestamp -param 0 -sigma 7 -k 1 30 0-1e6; checkcode $? 14

# exercise the -stage1time option
echo 2050449353925555290706354283 | $ECM -stage1time 17 -param 0 -sigma 7 -k 1 30 0-1e6; checkcode $? 14

# exercise the -primetest option
echo 2050449353925555290706354283 | $ECM -primetest -param 0 -sigma 7 -k 1 30 0-1e6; checkcode $? 14

# exercise the -q option
echo 2050449353925555290706354283 | $ECM -q -param 0 -sigma 7 -k 1 30 0-1e6; checkcode $? 14

# exercise the -v option
echo 2050449353925555290706354283 | $ECM -v -param 0 -sigma 7 -k 1 30 1e6; checkcode $? 14

# exercise the -v -v option
echo 2050449353925555290706354283 | $ECM -v -v -param 0 -sigma 7 -k 1 30 1e6; checkcode $? 14

# exercise the -v -v -v option
echo 2050449353925555290706354283 | $ECM -v -v -v -param 0 -sigma 7 -k 1 30 1e6; checkcode $? 14

# exercise the -v -v -v -v option
echo 2050449353925555290706354283 | $ECM -v -v -v -v -param 0 -sigma 7 -k 1 30 1e6; checkcode $? 14

# check the -treefile option
echo 2050449353925555290706354283 | $ECM -param 0 -treefile tree -sigma 7 -k 1 30 1e6; checkcode $? 14

# check the -I f option
echo 2050449353925555290706354283 | $ECM -param 0 -sigma 7 -I 1 -c 3 100; checkcode $? 14

# check the -chkpnt option
echo 2050449353925555290706354283 | $ECM -chkpnt test.ecm.chk -param 0 -sigma 7 30 1e6
$ECM -resume test.ecm.chk 30 1e6
C=$?
/bin/rm -f test.ecm.chk
checkcode $C 14

# check the -inp option
echo 2050449353925555290706354283 > test.ecm.inp
$ECM -inp test.ecm.inp -param 0 -sigma 7 -I 1 -c 3 100
C=$?
/bin/rm -f test.ecm.inp
checkcode $C 14

# Check a stage 2 of length 1. g1=1822795201 g2=968809 g3=567947
echo 212252637915375215854013140804296246361 | $ECM -param 0 -sigma 781683988 -go 550232165123 63421 1822795201-1822795201; checkcode $? 8

# tests from Torbjo"rn Granlund
echo 137703491 | $ECM -param 0 -sigma 6 84 1000; checkcode $? 8

echo 3533000986701102061387017352606588294716061 | $ECM -param 0 -sigma 1621 191 225; checkcode $? 14

echo 145152979917007299777325725119 | $ECM -param 0 -sigma 711387948 924 117751; checkcode $? 14

# Test a few base 2 numbers. These tests are fairly quick.

# Test a 2^n-1 number, factor found in stage 1. Order mod 33554520197234177
# with sigma=262763035 is 2^3*3*5*47*59*241*601*743*937

echo "2^919-1" | $ECM -param 0 -sigma 262763035 937 1; checkcode $? 6

echo "2^919-1 // comment" | $ECM -param 0 -sigma 262763035 937 1; checkcode $? 6

echo "101#-1" | $ECM -sigma 0:17 4e5; checkcode $? 14

echo '101!-1' | $ECM -sigma 0:17 1e5; checkcode $? 2

echo '101!3-1' | $ECM -sigma 0:17 1e5; checkcode $? 2

echo '101#3-2' | $ECM -sigma 0:18 1e5; checkcode $? 14

## The following tests produce errors (in normal usage), and should not be
## tested with valgrind (we do not free all memory in case of error)

if [ "$VALGRIND" != "1" ]; then

# parsing error
echo '2^(101/7)-1' | $ECM -sigma 0:18 1e5; checkcode $? 1

# exercise "Error, n should be positive" error message
echo "-1234" | $ECM 11e3; checkcode $? 1

# exercise "Error, conflict between -sigma and -param arguments" error message
echo "2^1123-1" | $ECM -sigma 0:13488386679529262989 -param 2 11000; checkcode $? 1

# exercise other "Error, conflict between -sigma and -param arguments" error message
echo "2^1123-1" | $ECM -param 2 -sigma 0:13488386679529262989 11000; checkcode $? 1

# exercise "Error, x0 should be equal to 2 with this parametrization" error message
echo "2^1123-1" | $ECM -x0 1 -param 2 11000; checkcode $? 1

# exercise "Error, invalid starting point" error message
echo "2^1123-1" | $ECM -x0 1.2 -param 0 11000; checkcode $? 1

# exercise "Error, invalid starting point" error message
echo "2^1123-1" | $ECM -y0 1.2 -param 0 11000; checkcode $? 1

# exercise "Error, invalid -param value" error message
echo "2^1123-1" | $ECM -x0 1 -param -1 11000; checkcode $? 1

# exercise "Error, invalid sigma value" error message
echo "2^1123-1" | $ECM -sigma 1.2 11000; checkcode $? 1

# exercise "Error, invalid A value" error message
echo "2^1123-1" | $ECM -A 1.2 11000; checkcode $? 1

# exercise "Error, -A requires a starting point (-x0 x)." error message
echo "2^1123-1" | $ECM -A 1234567890 11e3; checkcode $? 1

# exercise "Error, the -I f option requires f > 0" error message
echo "2^1123-1" | $ECM -I -1 11000; checkcode $? 1

# exercise "Can't find input file" error message
$ECM -inp 1; checkcode $? 1

# exercise "too large step 2 bound" error message
echo "2^1123-1" | $ECM -v -maxmem 10 -k 5 11000 11000000000000000000; checkcode $? 1

# exercise "stage 2 interval too large" error message
echo "2^1123-1" | $ECM -v -maxmem 10 11000 1e27; checkcode $? 1

# exercise "Function Phi() requires 2 parameters" error message
echo "phi(31)" | $ECM 11e3; checkcode $? 1

# exercise "Invalid parameter passed to the Phi function" error message
echo "phi(31,-1)" | $ECM 11e3; checkcode $? 1

# exercise "Error - invalid number" error message
echo ")" | $ECM 11e3; checkcode $? 1

# exercise "Error - unknown operator" error message
echo "1234$" | $ECM 11e3; checkcode $? 1

# exercise "Unknown option" error message
$ECM -inp; checkcode $? 1

# exercise "Invalid arguments. See ... --help" error message
echo "2^1123-1" | $ECM; checkcode $? 1

# exercise "Invalid B2 value" error message
echo "2^1123-1" | $ECM 11000 -1000000; checkcode $? 1

# exercise "Error, -sigma parameter is incompatible with -A and -x0 parameters" error message
echo "2^1123-1" | $ECM -sigma 0:5 -x0 1 11000; checkcode $? 1

# exercise "Error, -y0 must be used with -A and -x0 parameters" error message
echo "2^1123-1" | $ECM -param 0 -y0 1 11000; checkcode $? 1

# exercise "Error, option -c and -resume are incompatible" error message
$ECM -c 2 -resume ${GMPECM_DATADIR}/M877.save 11000; checkcode $? 1

# exercise "Error, option -c is incompatible with -x0" error message
echo "2^1123-1" | $ECM -c 2 -param 0 -x0 1 11000; checkcode $? 1

# exercise "Error, the -param option is only valid for ECM" error message
echo "2^1123-1" | $ECM -param 0 -pm1 11000; checkcode $? 1

# exercise "Could not open file <file> for reading" error message
$ECM -bloads sfile.txt 1e6 < ${GMPECM_DATADIR}/c155; checkcode $? 1

# exercise "read_s_from_file: 0 bytes read from <file>" error message
$ECM -bloads ${GMPECM_DATADIR}/test_dummy2.save 1e6 < ${GMPECM_DATADIR}/c155; checkcode $? 1

# exercise batch error messages...
$ECM -bsaves test.ecm.s 11e3 < ${GMPECM_DATADIR}/c155
$ECM -bloads test.ecm.s 1000 < ${GMPECM_DATADIR}/c155; checkcode $? 1
$ECM -bloads test.ecm.s 10900 < ${GMPECM_DATADIR}/c155; checkcode $? 1
/bin/rm -f test.ecm.s

# exercise "Error, -bsaves/-bloads makes sense in batch mode only" error message
$ECM -bsaves test.s -param 0 11e3 < ${GMPECM_DATADIR}/c155; checkcode $? 1

# exercise "Error, invalid parametrization." error message
$ECM -param 5-3 11e3 < ${GMPECM_DATADIR}/c155; checkcode $? 1

# exercise "mpmod_init_BASE2: n does not divide ..." error message
$ECM -base2 32768 -param 0 11e3 < ${GMPECM_DATADIR}/c155; checkcode $? 1

# exercise error "Invalid number"
$ECM -go N- -modmuln 11e3 < ${GMPECM_DATADIR}/c155; checkcode $? 1

fi # end of tests producing errors

echo "2^1000-(101%7)" | $ECM -sigma 0:17 1e3; checkcode $? 2

# idem with -nobase2
echo "2^919-1" | $ECM -nobase2 -param 0 -sigma 262763035 937 1; checkcode $? 6

# idem with -nobase2s2
echo "2^919-1" | $ECM -nobase2s2 -param 0 -sigma 262763035 937 1; checkcode $? 6

# idem with -base2 -919
echo "2^919-1" | $ECM -base2 -919 -param 0 -sigma 262763035 937 1; checkcode $? 6

# Test a 2^n-1 number, factor found in stage 2. Order mod 33554520197234177
# with sigma=1691973485 is 2^6*3*11*29*59*73*263*283*1709

echo "2^919-1" | $ECM -param 0 -sigma 1691973485 283 1709; checkcode $? 6

# Test a 2^n+1 number, factor found in stage 1. Order mod 24651922299337
# with sigma=2301432245 is 2^3*3^3*5^2*7^2*17*67*157*521
echo "(2^1033+1)/3" | $ECM -param 0 -sigma 2301432245 521 1; checkcode $? 6

# Test a 2^n+1 number, factor found in stage 2. Order mod 24651922299337
# with sigma=2394040080 is 2^2*3^2*13*19*53*127*223*1847
echo "(2^1033+1)/3" | $ECM -param 0 -sigma 2301432245 223 1847; checkcode $? 6

# Test another 2^n+1 number, with a larger known factor divided out.
# Factor found in stage 1, order mod 114584129081 with sigma=2399424618
# is 2^9*3^2*5^2*7^2*53*383
echo "(2^1063+1)/3/26210488518118323164267329859" | $ECM -param 0 -sigma 2399424618 383 1 ; checkcode $? 6

# Like last one, but factor found in stage 2
echo "(2^1063+1)/3/26210488518118323164267329859" | $ECM -param 0 -sigma 2399424618 71 500; checkcode $? 6

echo 242668358425701966181147598421249782519178289604307455138484425562807899 | $ECM -param 0 -sigma 1417477358 28560 8e7-85507063; checkcode $? 14

# bug found by Jim Fougeron
echo 3533000986701102061387017352606588294716061 | $ECM -param 0 -sigma 291310394389387 191 225; checkcode $? 14

echo 121279606270805899614487548491773862357 | $ECM -param 0 -sigma 1931630101 120; checkcode $? 14

echo 291310394389387 | $ECM -param 0 -power 3 -sigma 40 2000; checkcode $? 8

echo 3533000986701102061387017352606588294716061 | $ECM -param 0 -sigma 3547 167 211; checkcode $? 14

# test -go option
echo 449590253344339769860648131841615148645295989319968106906219761704350259884936939123964073775456979170209297434164627098624602597663490109944575251386017 | $ECM -param 0 -sigma 63844855 -go 172969 61843 20658299; checkcode $? 14

echo 17061648125571273329563156588435816942778260706938821014533 | $ECM -param 0 -sigma 585928442 174000; checkcode $? 14

# test -save/-resume
/bin/rm -f test.ecm.save
echo 17061648125571273329563156588435816942778260706938821014533 | $ECM -save test.ecm.save -param 0 -sigma 585928442 174000 0
$ECM -resume test.ecm.save 174000 85880350
C=$?
checkcode $C 14

# test savea
cp ${GMPECM_DATADIR}/test_dummy2.save test.ecm.save
echo 17061648125571273329563156588435816942778260706938821014533 | $ECM -savea test.ecm.save -param 0 -sigma 585928442 174000 0
$ECM -resume test.ecm.save 174000 85880350
C=$?
checkcode $C 14

# test unknown method
echo "METHOD=FOO" > test.ecm.save
$ECM -resume test.ecm.save 174000 85880350
C=$?
checkcode $C 0

# test invalid checksum
echo "CHECKSUM=xxx" > test.ecm.save
$ECM -resume test.ecm.save 174000 85880350
C=$?
checkcode $C 0

# test comment
echo "METHOD=P-1;X=1;N=17;B1=2;COMMENT=this is a comment;" > test.ecm.save
$ECM -resume test.ecm.save 174000 85880350
C=$?
checkcode $C 8

# test invalid param
echo "PARAM=xxx" > test.ecm.save
$ECM -resume test.ecm.save 174000 85880350
C=$?
checkcode $C 0

# test invalid etype
echo "ETYPE=xxx" > test.ecm.save
$ECM -resume test.ecm.save 174000 85880350
C=$?
checkcode $C 0

# test invalid B1
echo "B1=xxx" > test.ecm.save
$ECM -resume test.ecm.save 174000 85880350
C=$?
checkcode $C 0

# test unknown tag
echo "FOO=xxx" > test.ecm.save
$ECM -resume test.ecm.save 174000 85880350
C=$?
checkcode $C 0

# test semicolon after tags
echo "METHOD=P-1;X=1;N=17;B1=2" > test.ecm.save
$ECM -resume test.ecm.save 174000 85880350
C=$?
checkcode $C 0

# test QX tag without sigma
echo "METHOD=ECM;QX=1;N=17;B1=2;" > test.ecm.save
$ECM -resume test.ecm.save 174000 85880350
C=$?
checkcode $C 0

# test missing fields
echo "METHOD=ECM;QX=1;N=17;" > test.ecm.save
$ECM -resume test.ecm.save 174000 85880350
C=$?
checkcode $C 0

/bin/rm -f test.ecm.save
echo 17061648125571273329563156588435816942778260706938821014533 | $ECM -save test.ecm.save -A 22/7 -x0 1/3 -y0 2/7 1e3
$ECM -resume test.ecm.save 1e3
C=$?
/bin/rm -f test.ecm.save
checkcode $C 0

$ECM -resume ${GMPECM_DATADIR}/test_dummy.save 1e3; checkcode $? 0

# test a Prime95 save file, includes lines to be skipped by GMP-ECM
$ECM -resume ${GMPECM_DATADIR}/test_prime95.save 1 2e6; checkcode $? 6

echo 89101594496537524661600025466303491594098940711325290746374420963129505171895306244425914080753573576861992127359576789001 | $ECM -param 0 -sigma 877655087 -go 325001 157721 1032299; checkcode $? 14

echo 5394204444759808120647321820789847518754252780933425517607611172590240019087317088600360602042567541009369753816111824690753627535877960715703346991252857 | $ECM -param 0 -sigma 805816989 -go 345551 149827; checkcode $? 6

echo 3923385745693995079670229419275984584311007321932374190635656246740175165573932140787529348954892963218868359081838772941945556717 | $ECM -param 0 -sigma 876329474 141667 150814537; checkcode $? 14

echo 124539923134619429718018353168641490719788526741873602224103589351798060075728544650990190016536810151633233676972068237330360238752628542584228856301923448951 | $ECM -param 0 -sigma 1604840403 -go "1260317*1179109*661883" 96097 24289207; checkcode $? 14

# p49 found by Sean Irvine
echo 4983070578699621345648758795946786489699447158923341167929707152021191319057138908604417894224244096909460401007237133698775496719078793168004317119431646035122982915288481052088094940158965731422616671 | $ECM -param 0 -sigma 909010734 122861 176711; checkcode $? 6

# bug in ecm-5.0 (overflow in fin_diff_coeff)
echo 1408323592065265621229603282020508687 | $ECM -param 0 -sigma 1549542516 -go 2169539 531571 29973883000-29973884000; checkcode $? 8

# bug in ecm 5.0 and 5.0.1 (factor found for c110 input, not with p58)
echo 3213162276640339413566047915418064969550383692549981333701 | $ECM -param 0 -sigma 2735675386 -go 1615843 408997 33631583; checkcode $? 8

echo 39614081257132168796771975177 | $ECM -param 0 -sigma 480 1e6; checkcode $? 8

echo 10000286586958753753 | $ECM -param 0 -sigma 3956738175 1e6; checkcode $? 8

echo 49672383630046506169472128421 | $ECM -param 0 -sigma 2687434659 166669 86778487; checkcode $? 8

echo 216259730493575791390589173296092767511 | $ECM -param 0 -sigma 214659179 1124423 20477641; checkcode $? 8

# bug reported by Allan Steel on 14 March 2006
echo 49367108402201032092269771894422156977426293789852367266303146912244441959559870316184237 | $ECM -param 0 -sigma 6 5000; checkcode $? 0

# A test with a larger input number to test modular arithmetic routines not
# in mulredc*.asm. This input has 1363 bits so it has 22 64 bit words 
# (43 32 bit words) and cannot use mulredc which handles only up to 20 limbs

echo "10090030271*10^400+696212088699" | $ECM -param 0 -sigma 3923937547 1e3 1e6; checkcode $? 14

echo 31622776601683791911 | $ECM -sigma 0:249908706013996416 11000; checkcode $? 0

# those tests with params=1, 2 or 3 don't work with -redc
if [ "$MUL" != "redc" -a "$MUL" != "mpzmod" ]; then

# Note: on 32-bit machines, param 1 (ECM_PARAM_BATCH_SQUARE) does not work
$ECM -printconfig | grep "GMP_NUMB_BITS = 64"
if [ $? -eq 0 ]; then

echo 31622776601683791911 | $ECM -sigma 1:3277346684 11000; checkcode $? 0

echo 31622776601683791911 | $ECM -param 1 -A 27063318473587686303 11000
checkcode $? 0

# non-regression test for bug fixed by changeset r1819 on 64-bit
# (this also produces a small d' on 32-bit, thus can be used with param=1)
echo 18446744073709551557 | $ECM -param 1 -A 312656731337392125 11000
checkcode $? 8

# test -bsaves/-bloads
echo 18446744073709551557 | $ECM -param 1 -A 1 -bsaves test.ecm.s 11000
echo 18446744073709551557 | $ECM -param 1 -A 312656731337392125 -bloads test.ecm.s 11000; checkcode $? 8
# The following test (with -v and -bloads) would crash on Windows prior to svn 2968.
echo 18446744073709551557 | $ECM -param 1 -A 312656731337392125 -bloads test.ecm.s -v 11000; checkcode $? 8
/bin/rm -f test.ecm.s

# non-regression test for bug fixed by changeset r1819 on 32-bit
echo 4294967291 | $ECM -param 1 -A 17 1000
checkcode $? 8

fi

echo 31622776601683791911 | $ECM -sigma 2:5539417145734457396 11000; checkcode $? 0
echo 31622776601683791911 | $ECM -sigma 3:3462003578 11000; checkcode $? 0

# same with param=2, works only with ECM_MOD_MODMULN
echo 458903930815802071188998938170281707063809443792768383215233 | $ECM -sigma 2:142 10000
checkcode $? 14

# test for param=2
echo "2^349-1" | $ECM -sigma 2:9 587 29383
checkcode $? 6

# another param=2 test
echo "2^347-1" | $ECM -param 2 -A 292897222300654795048417351458499833714895857628156011078988080472621879897670335421898676171177982 3301 229939
checkcode $? 14

# To test param mode 2
echo 911962091 | $ECM -sigma 2:14 50000
checkcode $? 8

echo 911962091 | $ECM -sigma 2:3 1297 1831
checkcode $? 8

echo 291310394389387 | $ECM -sigma 2:291310392832797 2 1e3
checkcode $? 8

echo 4294967279 | $ECM -sigma 2:268435456 2
checkcode $? 8

# To test param=3
echo 458903930815802071188998938170281707063809443792768383215233 | $ECM -sigma 3:42 10000
checkcode $? 14

# test for param=3
echo "2^349-1" | $ECM -sigma 3:13 587 29383
checkcode $? 6

# another param=3 test
echo "2^347-1" | $ECM -sigma 3:1097 3301 229939
checkcode $? 14

fi

# tests to exercise the Phi code in eval.c
echo "Phi(101,30)" | $ECM -sigma 0:12023436370081639188 1e5
checkcode $? 14

echo "1+Phi(102,1)" | $ECM -sigma 0:12023436370081639188 1e5
checkcode $? 8

echo "Phi(101,1)" | $ECM -sigma 0:12023436370081639188 1e5
checkcode $? 8

echo "17+Phi(1,2)" | $ECM -sigma 0:17 1e3
checkcode $? 6

# on systems with 64-bit limbs, exercise mulredc9
echo "2^567-181" | $ECM -sigma 0:2521899833399249862 11000; checkcode $? 14
# on systems with 64-bit limbs, exercise mulredc10
echo "2^600-93" | $ECM -sigma 0:8302474899089961032 11000; checkcode $? 6
# on systems with 64-bit limbs, exercise mulredc11
echo "2^654-53" | $ECM -sigma 0:15038331775204443632 11000; checkcode $? 6
# on systems with 64-bit limbs, exercise mulredc12
echo "2^753-511" | $ECM -sigma 0:282111327134773146 11000; checkcode $? 6
# on systems with 64-bit limbs, exercise mulredc13
echo "2^789-91" | $ECM -sigma 0:5564144145207154979 11000; checkcode $? 6
# on systems with 64-bit limbs, exercise mulredc14
echo "2^850-251" | $ECM -sigma 0:1755119194409032967 11000; checkcode $? 6
# on systems with 64-bit limbs, exercise mulredc15
echo "2^931-19" | $ECM -sigma 0:17749056889950488599 11000; checkcode $? 6
# on systems with 64-bit limbs, exercise mulredc16
echo "2^987-105" | $ECM -sigma 0:9642611678409500628 11000; checkcode $? 6
# on systems with 64-bit limbs, exercise mulredc17
echo "2^1025-13" | $ECM -sigma 0:15565298209539150294 11000; checkcode $? 6
# on systems with 64-bit limbs, exercise mulredc18
echo "2^1123-1" | $ECM -sigma 0:13488386679529262989 11000; checkcode $? 6
# on systems with 64-bit limbs, exercise mulredc19
echo "2^1200-765" | $ECM -sigma 0:15594604713796776382 11000; checkcode $? 6
# on systems with 64-bit limbs, exercise mulredc20
echo "2^1234-77" | $ECM -sigma 0:15792336214697966869 11000; checkcode $? 6
# exercise -one option
echo "2^1123-1" | $ECM -c 2 -one -sigma 0:13488386679529262989 11000; checkcode $? 6

# bug reported on March 10, 2015; fixed with svn 2658
echo "2^753-511" | $ECM -c 2 -sigma 0:38270210 11000; checkcode $? 6

##### Set of tests to exercise various error and warning messages

# exercise "Warning, for multiple -go options" warning message
echo "2^1123-1" | $ECM -sigma 0:13488386679529262989 -go 5 -go 7 11000; checkcode $? 6

# exercise "Warning: -sigma, -param, -A and -x0 parameters are ignored when resuming from save files." warning message
$ECM -x0 1 -resume ${GMPECM_DATADIR}/M877.save 11000; checkcode $? 0

# exercise print cofactor when using -q option
echo "2^1123-1" | $ECM -sigma 0:13488386679529262989 -q 11000; checkcode $? 6

# exercise the "show first and last 10 digits of a number" option
# also exercises "input number longer than 2000 characters, extend input array" code
$ECM -inp ${GMPECM_DATADIR}/test_Z2102.n -sigma 0:4702936202311981741 2000; checkcode $? 6

# exercise -nobase2 option
echo "2^1123-1" | $ECM -nobase2 -sigma 0:13488386679529262989 11000; checkcode $? 6

# exercise -nobase2s2 option
echo "2^1123-1" | $ECM -nobase2s2 -sigma 0:13488386679529262989 11000; checkcode $? 6

# this example would fail with the old Fgw.c when using gwnum (fixed by David Cleaver, r1734)
echo "((173^173+1)/174)/471462511391940575680645418941" | $ECM -param 0 -sigma 12345 20000
checkcode $? 0

# this test was failing on gcc45.fsffrance.org with 6.4.1
echo "((173^173+1)/174)/471462511391940575680645418941+122" | $ECM -param 0 -sigma 77 20000
checkcode $? 6

echo 2050449353925555290706354283 | $ECM -param 0 -sigma 7 -go 2411 3; checkcode $? 0

# exercise d > I0_THRESHOLD in mpzspm_product_tree_init with n odd
echo "2^3900-77" | $ECM -ntt -param 0 -sigma 1167435750 600; checkcode $? 6

# exercise memory leak
echo 2050449353925555290706354283 | $ECM -param 0 -sigma 7 30 308

##### tests for the Weierstrass form
##### (disabled in revision 2765 since not tested enough)
if [ 0 -eq 1 ]; then

# factored with Step 1
echo 2432902008176640001 | $ECM -param 5 -A 1 -x0 20 -y0 10 100000; checkcode $? 14
# unfactored
echo 2432902008176640001 | $ECM -param 5 -A 1 -x0 20/3 -y0 10 10000 20000; checkcode $? 0
# factored with default Step 2
echo 2432902008176640001 | $ECM -param 5 -A 1 -x0 20/3 -y0 10 100000; checkcode $? 14
# fails
echo 2432902008176640001 | $ECM -param 5 -A 1 -x0 20 -y0 10 100; checkcode $? 0
# succeeds
echo 2432902008176640001 | $ECM -param 5 -A 1 -x0 20 -y0 10 -go 6449 100; checkcode $? 14
# we can use A = 0
echo 2432902008176640001 | $ECM -param 5 -A 0 -x0 20 -y0 10 10000; checkcode $? 14
# or x0 = 0
echo 2432902008176640001 | $ECM -param 5 -A 1 -x0 0 -y0 10 100000; checkcode $? 14
# or y0 = 0, though it is a bit non-sensic (since [2](x0, y0) = OE)
echo 2432902008176640001 | $ECM -param 5 -A 1 -x0 20 -y0 0 100000; checkcode $? 8
# or x0 = y0 = 0, though it is a bit non-sensic (since [2](x0, y0) = OE)
echo 2432902008176640001 | $ECM -param 5 -A 1 -x0 0 -y0 0 100000; checkcode $? 8
# for A rational
echo 2432902008176640001 | $ECM -param 5 -A 1/2 -x0 20 -y0 10 10000; checkcode $? 14
# what if we find a factor during initialization
echo 2432902008176640001 | $ECM -param 5 -A 1/20639383 -x0 20 -y0 10 10000; checkcode $? 14
echo 2432902008176640001 | $ECM -param 5 -A 1 -x0 20/20639383 -y0 10 10000; checkcode $? 14
echo 2432902008176640001 | $ECM -param 5 -A 1/2 -x0 20 -y0 10/20639383 10000; checkcode $? 14
# Hessian form: X^3+Y^3+Z^3=3*D*X*Y*Z (torsion group Z3xZ3 over Q(sqrt(-3)))
# found in Step 1
echo 2432902008176640001 | $ECM -param 6 -A 2 -x0 2 -y0 3 9000; checkcode $? 14
# found in Step 2
echo 2432902008176640001 | $ECM -param 6 -A 2 -x0 2 -y0 3 100 9000; checkcode $? 14
# no factor found
echo 2432902008176640001 | $ECM -param 6 -A 2 -x0 2 -y0 3 1000 2000; checkcode $? 0

fi # tests for Weierstrass form

##### tests for curves with specific torsion
##### (disabled in revision 2764 since not tested enough)
if [ 0 -eq 1 ]; then

echo 4722366482800925736961 | $ECM -torsion Z5 -sigma 2 1e5; checkcode $? 14
## a factor is to be found during initialization
echo 12787261 | $ECM -torsion Z5 -sigma 1000 1e2; checkcode $? 14
## a factor is to be found during initialization in cubic_to_quartic
echo 123041 | $ECM -torsion Z7 -sigma 2 1e2; checkcode $? 14
## found factor during update of Q in Z7
echo 376171002633197 | $ECM -torsion Z7 -sigma 5 1e2; checkcode $? 14
## a factor is found
echo 13290059 | $ECM -torsion Z7 -sigma 4 1e2; checkcode $? 14
## in step 2
echo 2432902008176640001 | $ECM -torsion Z7 -sigma 1 1e3 1e8; checkcode $? 14
## -save/-resume
echo 2432902008176640001 | $ECM -torsion Z7 -save test.ecm.save -sigma 1 1e3
$ECM -resume test.ecm.save 1e3 1e8
C=$?
/bin/rm -f test.ecm.save
checkcode $C 14
## found factor during update of Q in Z9
echo 874700000026241 | $ECM -torsion Z9 -sigma 7 1e2; checkcode $? 14
## found factor in Step 1
echo 2432902008176640001 | $ECM -torsion Z9 -sigma 3 13000; checkcode $? 14
echo 2432902008176640001 | $ECM -torsion Z10 -sigma 3 320; checkcode $? 14
echo 2432902008176640001 | $ECM -torsion Z2xZ8 -sigma 2 1300; checkcode $? 14

fi # tests with -torsion

# the following tests should work on machines which have uint64_t or where
# unsigned long long has 64 bits (exercises patch from David Cleaver, r1575)
$ECM -printconfig | grep "GMP_NUMB_BITS = 64"
if [ $? -eq 0 ]; then

echo 10000000000000000000000000000000000000121 | $ECM -param 0 -sigma 61 -go 1195504287780095287 2950307;  checkcode $? 8

echo 10000000000000000000000000000000000000121 | $ECM -param 0 -sigma 266 -go 218187387944803649 9405629;  checkcode $? 8

echo 10000000000000000000000000000000000000121 | $ECM -param 0 -sigma 291 -go 5994496018878137 4372759;  checkcode $? 8

# from http://www.mersenneforum.org/showthread.php?t=19206
echo 240374937214123387734825980441485328571760198890188986168556177043725516179623977715973254104349268626550386607672381746223853794447671062771318068793196116019917029782728411 | $ECM -param 0 -sigma 2945335458 5e4; checkcode $? 14

echo 65537 | $ECM -sigma 17 1 0; checkcode $? 0

# exercise factor found during inverse in multiplyW2n()
echo 500000000000000000195 | $ECM -param 0 -sigma 7 1 100000; checkcode $? 14

# exercise factor found reducing A=p/q
echo 65537 | $ECM -param 0 -A 1/65537 -v 1; checkcode $? 8
echo 4295229443 | $ECM -param 0 -A 1/65537 1; checkcode $? 14
echo 4429846549 | $ECM -param 0 -A 1/67591 1; checkcode $? 10

# exercise input dividing 2^n+/-1 where base-2 arithmetic exceeds threshold
echo 67280421310721 | $ECM -param 0 1e3

if [ "$MUL" = "modmuln" ]; then
# exercise batch mode: since param=1, does not work on 32-bit machines
echo 33852066257429811148979390609187539760850944806763555795340084882048986912482949506591909041130651770779842162499482875755533111808276172876211496409325473343590723224081353129229935527059488811457730702694849036693756201766866018562295004353153066430367 | $ECM -v -sigma 1:17 1e6; checkcode $? 0
fi

fi # GMP_NUMB_BITS = 64

# exercise -h
$ECM -h

$ECM -printconfig | grep Tuning

echo "All ECM tests are ok."