Changing Gaussian initial data for the scalar wave equation to be time symmetric

Unfortunately changes all testsuites.


git-svn-id: http://svn.cactuscode.org/arrangements/CactusWave/WaveToyF90/trunk@66 f80f6fb6-8356-4fd4-90bc-d84ad503c100

15 files changed, 732 insertions, 732 deletions

diff --git a/test/test_rad/phi.xl b/test/test_rad/phi.xl
index 3289eb3..07c6591 100644
--- a/test/test_rad/phi.xl
+++ b/test/test_rad/phi.xl
@@ -1,198 +1,198 @@
 
 
-"Time = 0.000000
--0.300000           0.0772707537752
-0.300000           0.0772707537752
-0.900000           0.1292593546971
-1.500000           0.2208214420284
-2.100000           0.3529089299372
-2.700000           0.5192102694005
-3.300000           0.6998161919677
-3.900000           0.8624762718586
-4.500000           0.9710346043534
-5.100000           0.9982370567948
-5.700000           0.9367420144351
-6.300000           0.8022624770949
-6.900000           0.6270073768484
-7.500000           0.4471508970148
-8.100000           0.2909622162579
-
-
-"Time = 0.300000
--0.300000           0.1393184064019
-0.300000           0.1393184064019
-0.900000           0.1975847110096
-1.500000           0.3062741452991
-2.100000           0.4554646524072
-2.700000           0.6299296619766
-3.300000           0.8021921868134
-3.900000           0.9366725320316
-4.500000           1.0007334088932
-5.100000           0.9771783117087
-5.700000           0.8714871457426
-6.300000           0.7095808925903
-6.900000           0.5273417858140
-7.500000           0.3576688235253
-8.100000           0.4056514703201
-
-
-"Time = 0.600000
--0.300000           0.2450657874844
-0.300000           0.2450657874844
-0.900000           0.3063938562633
-1.500000           0.4275754994725
-2.100000           0.5875326742492
-2.700000           0.7594519468076
-3.300000           0.9090544974737
-3.900000           1.0007207893735
-4.500000           1.0095375644101
-5.100000           0.9313582488327
-5.700000           0.7847341927681
-6.300000           0.6033335286836
-6.900000           0.4230286782330
-7.500000           0.3164729091787
-8.100000           0.3688224314238
-
-
-"Time = 0.900000
--0.300000           0.3968092201510
-0.300000           0.3968092201510
-0.900000           0.4612542907489
-1.500000           0.5868097261730
-2.100000           0.7462961828157
-2.700000           0.9011863559196
-3.300000           1.0121890493922
-3.900000           1.0475533118886
-4.500000           0.9938122606057
-5.100000           0.8613525959984
-5.700000           0.6803008397561
-6.300000           0.4885565892616
-6.900000           0.3298778872437
-7.500000           0.3093159503407
-8.100000           0.3194643862378
-
-
-"Time = 1.200000
--0.300000           0.5968864557660
-0.300000           0.5968864557660
-0.900000           0.6634200568401
-1.500000           0.7832867114987
-2.100000           0.9262870132775
-2.700000           1.0464509311060
-3.300000           1.1026365452681
-3.900000           1.0708606286750
-4.500000           0.9516509078131
-5.100000           0.7695373165573
-5.700000           0.5631271680828
-6.300000           0.3733607640958
-6.900000           0.2646768441670
-7.500000           0.3042741459498
-8.100000           0.2985904139956
-
-
-"Time = 1.500000
--0.300000           0.8468638921866
-0.300000           0.8468638921866
-0.900000           0.9096824905158
-1.500000           1.0118902155622
-2.100000           1.1191797723429
-2.700000           1.1850521641053
-3.300000           1.1715777583589
-3.900000           1.0658428285460
-4.500000           0.8831617240967
-5.100000           0.6598679115944
-5.700000           0.4394941203286
-6.300000           0.2702381613842
-6.900000           0.2305879299107
-7.500000           0.2823771591228
-8.100000           0.2945518023220
-
-
-"Time = 1.800000
--0.300000           1.1439552773541
-0.300000           1.1439552773541
-0.900000           1.1928303039108
-1.500000           1.2623590177638
-2.100000           1.3137084038740
-2.700000           1.3061063451054
-3.300000           1.2112923140727
-3.900000           1.0298141343834
-4.500000           0.7905117480480
-5.100000           0.5376561030314
-5.700000           0.3179991588455
-6.300000           0.1920175476677
-6.900000           0.2137804389116
-7.500000           0.2451913224103
-8.100000           0.2846392839016
-
-
-"Time = 2.100000
--0.300000           1.4777029324391
-0.300000           1.4777029324391
-0.900000           1.5007144586172
-1.500000           1.5197917554214
-2.100000           1.4960135325299
-2.700000           1.3989571738336
-3.300000           1.2160435134256
-3.900000           0.9625645974774
-4.500000           0.6777629948704
-5.100000           0.4096910832064
-5.700000           0.2097192375672
-6.300000           0.1439266896346
-6.900000           0.1939713841434
-7.500000           0.2049466941312
-8.100000           0.2590132157317
-
-
-"Time = 2.400000
--0.300000           1.8287092321577
-0.300000           1.8287092321577
-0.900000           1.8146817721101
-1.500000           1.7655652525217
-2.100000           1.6506551991274
-2.700000           1.4540918571554
-3.300000           1.1827266218174
-3.900000           0.8664271594561
-4.500000           0.5506710041608
-5.100000           0.2846305324622
-5.700000           0.1255209253476
-6.300000           0.1185029029684
-6.900000           0.1591056400564
-7.500000           0.1707872255917
-8.100000           0.2233538039083
-
-
-"Time = 2.700000
--0.300000           2.1691949368406
-0.300000           2.1691949368406
-0.900000           2.1093269062751
-1.500000           1.9782272412690
-2.100000           1.7620671001176
-2.700000           1.4640042823334
-3.300000           1.1111608790632
-3.900000           0.7460809101689
-4.500000           0.4166384492980
-5.100000           0.1727348795036
-5.700000           0.0707183446983
-6.300000           0.0989920048448
-6.900000           0.1119737653124
-7.500000           0.1424880579888
-8.100000           0.1884467757646
-
-
-"Time = 3.000000
--0.300000           2.4647796185994
-0.300000           2.4647796185994
-0.900000           2.3541828216963
-1.500000           2.1347782118799
-2.100000           1.8160434930701
-2.700000           1.4238960014253
-3.300000           1.0039991040679
-3.900000           0.6082179395041
-4.500000           0.2847201194241
-5.100000           0.0837362794307
-5.700000           0.0406070302546
-6.300000           0.0698724518537
-6.900000           0.0646120372763
-7.500000           0.1139375181146
-8.100000           0.1595748375786
+"Time = 0.0000000000000
+-0.3000000000000		0.0772707537752
+0.3000000000000		0.0772707537752
+0.9000000000000		0.1292593546971
+1.5000000000000		0.2208214420284
+2.1000000000000		0.3529089299372
+2.7000000000000		0.5192102694005
+3.3000000000000		0.6998161919677
+3.9000000000000		0.8624762718586
+4.5000000000000		0.9710346043534
+5.1000000000000		0.9982370567948
+5.7000000000000		0.9367420144351
+6.3000000000000		0.8022624770949
+6.9000000000000		0.6270073768484
+7.5000000000000		0.4471508970148
+8.1000000000000		0.2909622162579
+
+
+"Time = 0.3000000000000
+-0.3000000000000		0.0971890085381
+0.3000000000000		0.0971890085381
+0.9000000000000		0.1458070585769
+1.5000000000000		0.2369245713152
+2.1000000000000		0.3677885574700
+2.7000000000000		0.5306119771765
+3.3000000000000		0.7053718642907
+3.9000000000000		0.8609363869443
+4.5000000000000		0.9631174446691
+5.1000000000000		0.9865820055056
+5.7000000000000		0.9249036421069
+6.3000000000000		0.7932839629405
+6.9000000000000		0.6223681325743
+7.5000000000000		0.4465889831319
+8.1000000000000		0.3752705388255
+
+
+"Time = 0.6000000000000
+-0.3000000000000		0.1535708008300
+0.3000000000000		0.1535708008300
+0.9000000000000		0.1961711720954
+1.5000000000000		0.2851330953631
+2.1000000000000		0.4117506785660
+2.7000000000000		0.5639097924078
+3.3000000000000		0.7212408627121
+3.9000000000000		0.8559228336693
+4.5000000000000		0.9395019698949
+5.1000000000000		0.9521812103876
+5.7000000000000		0.8901154138237
+6.3000000000000		0.7669547692918
+6.9000000000000		0.6087707161662
+7.5000000000000		0.4654810206394
+8.1000000000000		0.3949518426732
+
+
+"Time = 0.9000000000000
+-0.3000000000000		0.2419028715711
+0.3000000000000		0.2419028715711
+0.9000000000000		0.2806656382453
+1.5000000000000		0.3644680930451
+2.1000000000000		0.4820908511115
+2.7000000000000		0.6157607576356
+3.3000000000000		0.7447219357010
+3.9000000000000		0.8464196741952
+4.5000000000000		0.9011458603973
+5.1000000000000		0.8973392226736
+5.7000000000000		0.8348647235667
+6.3000000000000		0.7249114560560
+6.9000000000000		0.5917334278920
+7.5000000000000		0.4961372040187
+8.1000000000000		0.4091178120740
+
+
+"Time = 1.2000000000000
+-0.3000000000000		0.3593070173178
+0.3000000000000		0.3593070173178
+0.9000000000000		0.3973371351440
+1.5000000000000		0.4726908984644
+2.1000000000000		0.5744326807980
+2.7000000000000		0.6809664830879
+3.3000000000000		0.7717421624765
+3.9000000000000		0.8309955673036
+4.5000000000000		0.8496166364932
+5.1000000000000		0.8256353888324
+5.7000000000000		0.7629881913118
+6.3000000000000		0.6709847629504
+6.9000000000000		0.5777865714943
+7.5000000000000		0.5227924669622
+8.1000000000000		0.4343697330907
+
+
+"Time = 1.5000000000000
+-0.3000000000000		0.5052337514342
+0.3000000000000		0.5052337514342
+0.9000000000000		0.5420663473251
+1.5000000000000		0.6053658733846
+2.1000000000000		0.6828252976146
+2.7000000000000		0.7530063971160
+3.3000000000000		0.7974403898287
+3.9000000000000		0.8081376662953
+4.5000000000000		0.7870262578869
+5.1000000000000		0.7415508900000
+5.7000000000000		0.6795672712851
+6.3000000000000		0.6117755641447
+6.9000000000000		0.5680687329189
+7.5000000000000		0.5353391157121
+8.1000000000000		0.4640517504908
+
+
+"Time = 1.8000000000000
+-0.3000000000000		0.6787849324688
+0.3000000000000		0.6787849324688
+0.9000000000000		0.7096278604905
+1.5000000000000		0.7554393617145
+2.1000000000000		0.7997808925635
+2.7000000000000		0.8246792188637
+3.3000000000000		0.8168537384980
+3.9000000000000		0.7766176744716
+4.5000000000000		0.7159301811155
+5.1000000000000		0.6501011754446
+5.7000000000000		0.5911083685792
+6.3000000000000		0.5547680979643
+6.9000000000000		0.5567416548106
+7.5000000000000		0.5330699604611
+8.1000000000000		0.4864485899527
+
+
+"Time = 2.1000000000000
+-0.3000000000000		0.8754683095197
+0.3000000000000		0.8754683095197
+0.9000000000000		0.8934902693274
+1.5000000000000		0.9137158682936
+2.1000000000000		0.9164670515964
+2.7000000000000		0.8887416558596
+3.3000000000000		0.8255930718110
+3.9000000000000		0.7358160562774
+4.5000000000000		0.6392096265666
+5.1000000000000		0.5566641884962
+5.7000000000000		0.5053523722766
+6.3000000000000		0.5045939040407
+6.9000000000000		0.5355376421596
+7.5000000000000		0.5206354074394
+8.1000000000000		0.4955742919172
+
+
+"Time = 2.4000000000000
+-0.3000000000000		1.0856681564264
+0.3000000000000		1.0856681564264
+0.9000000000000		1.0843677225765
+1.5000000000000		1.0695673643261
+2.1000000000000		1.0232864039845
+2.7000000000000		0.9384903774958
+3.3000000000000		0.8203872013323
+3.9000000000000		0.6859437540429
+4.5000000000000		0.5600046057416
+5.1000000000000		0.4669993690287
+5.7000000000000		0.4298308536269
+6.3000000000000		0.4604507953090
+6.9000000000000		0.5002183914684
+7.5000000000000		0.5020727132367
+8.1000000000000		0.4926868928111
+
+
+"Time = 2.7000000000000
+-0.3000000000000		1.2948926779457
+0.3000000000000		1.2948926779457
+0.9000000000000		1.2692815115984
+1.5000000000000		1.2113104711092
+2.1000000000000		1.1107305230053
+2.7000000000000		0.9682920558388
+3.3000000000000		0.7994092377803
+3.9000000000000		0.6281381151906
+4.5000000000000		0.4817680011886
+5.1000000000000		0.3870573167143
+5.7000000000000		0.3692601499998
+6.3000000000000		0.4172704174136
+6.9000000000000		0.4535251074759
+7.5000000000000		0.4779424710432
+8.1000000000000		0.4819274792745
+
+
+"Time = 3.0000000000000
+-0.3000000000000		1.4849088247045
+0.3000000000000		1.4849088247045
+0.9000000000000		1.4321131595311
+1.5000000000000		1.3265387801170
+2.1000000000000		1.1701952716927
+2.7000000000000		0.9740267548713
+3.3000000000000		0.7623637194688
+3.9000000000000		0.5644613918504
+4.5000000000000		0.4083753376049
+5.1000000000000		0.3220301380289
+5.7000000000000		0.3233470094901
+6.3000000000000		0.3701520525936
+6.9000000000000		0.4026687234346
+7.5000000000000		0.4467036855088
+8.1000000000000		0.4656795319790
diff --git a/test/test_rad/phi_max.tl b/test/test_rad/phi_max.tl
index 7f2f952..be44420 100644
--- a/test/test_rad/phi_max.tl
+++ b/test/test_rad/phi_max.tl
@@ -1,12 +1,12 @@
-"phi max v time
-0.000000           0.9999198827161
-0.300000           1.0032036387356
-0.600000           1.0165679308821
-0.900000           1.0475533118886
-1.200000           1.1036047450756
-1.500000           1.1902041732567
-1.800000           1.3188502049547
-2.100000           1.5204576862657
-2.400000           1.8287092321577
-2.700000           2.1691949368406
-3.000000           2.4647796185994
+"phi v time
+0.0000000000000	0.9999198827161
+0.3000000000000	0.9888123616498
+0.6000000000000	0.9562359086195
+0.9000000000000	0.9067795980557
+1.2000000000000	0.8496166364932
+1.5000000000000	0.8081376662953
+1.8000000000000	0.8258203526929
+2.1000000000000	0.9178957669541
+2.4000000000000	1.0856681564264
+2.7000000000000	1.2948926779457
+3.0000000000000	1.4849088247045
diff --git a/test/test_rad/phi_min.tl b/test/test_rad/phi_min.tl
index cbfc2bf..7da4da3 100644
--- a/test/test_rad/phi_min.tl
+++ b/test/test_rad/phi_min.tl
@@ -1,12 +1,12 @@
-"phi min v time
-0.000000           0.0000304406955
-0.300000           0.0000587880473
-0.600000           0.0001066220773
-0.900000           0.0001528733824
-1.200000          -0.0013007895418
-1.500000          -0.0114373299182
-1.800000          -0.0351282211240
-2.100000          -0.0714935979610
-2.400000          -0.1141742235382
-2.700000          -0.1588348486246
-3.000000          -0.2022833272751
+"phi v time
+0.0000000000000	0.0000304406955
+0.3000000000000	0.0000587435510
+0.6000000000000	0.0001086466514
+0.9000000000000	0.0002300978652
+1.2000000000000	0.0002636532697
+1.5000000000000	0.0004151724935
+1.8000000000000	0.0006908830588
+2.1000000000000	0.0011237231386
+2.4000000000000	0.0017885420113
+2.7000000000000	0.0027892279583
+3.0000000000000	0.0042654308870
diff --git a/test/test_rad/phi_nm1.tl b/test/test_rad/phi_nm1.tl
index bc32803..b840a52 100644
--- a/test/test_rad/phi_nm1.tl
+++ b/test/test_rad/phi_nm1.tl
@@ -1,12 +1,12 @@
-"phi norm1 v time
-0.000000           0.3981503311756
-0.300000           0.3752018026277
-0.600000           0.3435276039045
-0.900000           0.3126496420779
-1.200000           0.2838333296070
-1.500000           0.2563863030009
-1.800000           0.2319741194982
-2.100000           0.2118209125547
-2.400000           0.1954829734317
-2.700000           0.1828967131275
-3.000000           0.1733128464220
+"phi v time
+0.0000000000000	0.3981503311756
+0.3000000000000	0.4024026874590
+0.6000000000000	0.4017753010950
+0.9000000000000	0.4004025261602
+1.2000000000000	0.3986629565018
+1.5000000000000	0.3957315893967
+1.8000000000000	0.3908781055989
+2.1000000000000	0.3838434151324
+2.4000000000000	0.3746832451920
+2.7000000000000	0.3634742389163
+3.0000000000000	0.3501584628877
diff --git a/test/test_rad/phi_nm2.tl b/test/test_rad/phi_nm2.tl
index f363a7d..663ffea 100644
--- a/test/test_rad/phi_nm2.tl
+++ b/test/test_rad/phi_nm2.tl
@@ -1,12 +1,12 @@
-"phi norm2 v time
-0.000000           0.5254444636163
-0.300000           0.5037530928451
-0.600000           0.4799071761854
-0.900000           0.4590512493988
-1.200000           0.4432820729590
-1.500000           0.4330548472628
-1.800000           0.4281580299168
-2.100000           0.4276503193089
-2.400000           0.4296880249513
-2.700000           0.4314929499377
-3.000000           0.4295647147745
+"phi v time
+0.0000000000000	0.5254444636163
+0.3000000000000	0.5238529128447
+0.6000000000000	0.5151703830818
+0.9000000000000	0.5020256994966
+1.2000000000000	0.4865599905153
+1.5000000000000	0.4705361025401
+1.8000000000000	0.4553690349645
+2.1000000000000	0.4419812973758
+2.4000000000000	0.4306043592146
+2.7000000000000	0.4206114938369
+3.0000000000000	0.4105476772558
diff --git a/test/test_wavef90_flat/phi.xl b/test/test_wavef90_flat/phi.xl
index d32b165..9d6d717 100644
--- a/test/test_wavef90_flat/phi.xl
+++ b/test/test_wavef90_flat/phi.xl
@@ -1,198 +1,198 @@
 
 
-"Time = 0.000000
--0.300000		0.0772707537752
-0.300000		0.0772707537752
-0.900000		0.1292593546971
-1.500000		0.2208214420284
-2.100000		0.3529089299372
-2.700000		0.5192102694005
-3.300000		0.6998161919677
-3.900000		0.8624762718586
-4.500000		0.9710346043534
-5.100000		0.9982370567948
-5.700000		0.9367420144351
-6.300000		0.8022624770949
-6.900000		0.6270073768484
-7.500000		0.4471508970148
-8.100000		0.2909622162579
-
-
-"Time = 0.300000
--0.300000		0.1393184064019
-0.300000		0.1393184064019
-0.900000		0.1975847110096
-1.500000		0.3062741452991
-2.100000		0.4554646524072
-2.700000		0.6299296619766
-3.300000		0.8021921868134
-3.900000		0.9366725320316
-4.500000		1.0007334088932
-5.100000		0.9771783117087
-5.700000		0.8714871457426
-6.300000		0.7095808925903
-6.900000		0.5273417858140
-7.500000		0.3576688235253
-8.100000		0.3576688235253
-
-
-"Time = 0.600000
--0.300000		0.2450657874844
-0.300000		0.2450657874844
-0.900000		0.3063938562633
-1.500000		0.4275754994725
-2.100000		0.5875326742492
-2.700000		0.7594519468076
-3.300000		0.9090544974737
-3.900000		1.0007207893735
-4.500000		1.0095375644101
-5.100000		0.9313582488327
-5.700000		0.7847341927681
-6.300000		0.6033335286836
-6.900000		0.4230286782330
-7.500000		0.3044772474800
-8.100000		0.3044772474800
-
-
-"Time = 0.900000
--0.300000		0.3968092201510
-0.300000		0.3968092201510
-0.900000		0.4612542907489
-1.500000		0.5868097261730
-2.100000		0.7462961828157
-2.700000		0.9011863559196
-3.300000		1.0121890493922
-3.900000		1.0475533118886
-4.500000		0.9938122606057
-5.100000		0.8613525959984
-5.700000		0.6803008397561
-6.300000		0.4885565892616
-6.900000		0.3268789718190
-7.500000		0.2752067677878
-8.100000		0.2752067677878
-
-
-"Time = 1.200000
--0.300000		0.5968864557660
-0.300000		0.5968864557660
-0.900000		0.6634200568401
-1.500000		0.7832867114987
-2.100000		0.9262870132775
-2.700000		1.0464509311060
-3.300000		1.1026365452681
-3.900000		1.0708606286750
-4.500000		0.9516509078131
-5.100000		0.7695373165573
-5.700000		0.5631271680828
-6.300000		0.3726110352397
-6.900000		0.2516438268870
-7.500000		0.2533242806955
-8.100000		0.2533242806955
-
-
-"Time = 1.500000
--0.300000		0.8468638921866
-0.300000		0.8468638921866
-0.900000		0.9096824905158
-1.500000		1.0118902155622
-2.100000		1.1191797723429
-2.700000		1.1850521641052
-3.300000		1.1715777583589
-3.900000		1.0658428285460
-4.500000		0.8831617240967
-5.100000		0.6598679115944
-5.700000		0.4393066881146
-6.300000		0.2658534766538
-6.900000		0.2011123490317
-7.500000		0.2255919085594
-8.100000		0.2255919085594
-
-
-"Time = 1.800000
--0.300000		1.1439552773541
-0.300000		1.1439552773541
-0.900000		1.1928303039108
-1.500000		1.2623590177638
-2.100000		1.3137084038740
-2.700000		1.3061063451054
-3.300000		1.2112923140727
-3.900000		1.0298141343834
-4.500000		0.7905117480480
-5.100000		0.5376092449779
-5.700000		0.3166213800603
-6.300000		0.1787724364553
-6.900000		0.1673512871504
-7.500000		0.1864695542677
-8.100000		0.1864695542677
-
-
-"Time = 2.100000
--0.300000		1.4777029324391
-0.300000		1.4777029324391
-0.900000		1.5007144586172
-1.500000		1.5197917554214
-2.100000		1.4960135325299
-2.700000		1.3989571738336
-3.300000		1.2160435134256
-3.900000		0.9625645974774
-4.500000		0.6777512803570
-5.100000		0.4092762366095
-5.700000		0.2045159839281
-6.300000		0.1165051938211
-6.900000		0.1359268071477
-7.500000		0.1375978100000
-8.100000		0.1375978100000
-
-
-"Time = 2.400000
--0.300000		1.8287092321577
-0.300000		1.8287092321577
-0.900000		1.8146817721101
-1.500000		1.7655652525217
-2.100000		1.6506551991273
-2.700000		1.4540918571554
-3.300000		1.1827266218174
-3.900000		0.8664242308277
-4.500000		0.5505496920364
-5.100000		0.2827509946339
-5.700000		0.1121381041175
-6.300000		0.0748641086558
-6.900000		0.0949631657894
-7.500000		0.0837778489223
-8.100000		0.0837778489223
-
-
-"Time = 2.700000
--0.300000		2.1691949368406
-0.300000		2.1691949368406
-0.900000		2.1093269062751
-1.500000		1.9782272412690
-2.100000		1.7620671001176
-2.700000		1.4640042823334
-3.300000		1.1111601469061
-3.900000		0.7460461820190
-4.500000		0.4159974511215
-5.100000		0.1669551146035
-5.700000		0.0444927745857
-6.300000		0.0417170783619
-6.900000		0.0413984540186
-7.500000		0.0287521775995
-8.100000		0.0287521775995
-
-
-"Time = 3.000000
--0.300000		2.4647796185994
-0.300000		2.4647796185994
-0.900000		2.3541828216963
-1.500000		2.1347782118799
-2.100000		1.8160434930701
-2.700000		1.4238958183860
-3.300000		1.0039893220007
-3.900000		0.6080083033763
-4.500000		0.2824264328710
-5.100000		0.0702386639675
-5.700000		-0.0010331467926
-6.300000		0.0036481995989
-6.900000		-0.0195053936218
-7.500000		-0.0265435853212
-8.100000		-0.0265435853212
+"Time = 0.0000000000000
+-0.3000000000000		0.0772707537752
+0.3000000000000		0.0772707537752
+0.9000000000000		0.1292593546971
+1.5000000000000		0.2208214420284
+2.1000000000000		0.3529089299372
+2.7000000000000		0.5192102694005
+3.3000000000000		0.6998161919677
+3.9000000000000		0.8624762718586
+4.5000000000000		0.9710346043534
+5.1000000000000		0.9982370567948
+5.7000000000000		0.9367420144351
+6.3000000000000		0.8022624770949
+6.9000000000000		0.6270073768484
+7.5000000000000		0.4471508970148
+8.1000000000000		0.2909622162579
+
+
+"Time = 0.3000000000000
+-0.3000000000000		0.0971890085381
+0.3000000000000		0.0971890085381
+0.9000000000000		0.1458070585769
+1.5000000000000		0.2369245713152
+2.1000000000000		0.3677885574700
+2.7000000000000		0.5306119771765
+3.3000000000000		0.7053718642907
+3.9000000000000		0.8609363869443
+4.5000000000000		0.9631174446691
+5.1000000000000		0.9865820055056
+5.7000000000000		0.9249036421069
+6.3000000000000		0.7932839629405
+6.9000000000000		0.6223681325743
+7.5000000000000		0.4465889831319
+8.1000000000000		0.4465889831319
+
+
+"Time = 0.6000000000000
+-0.3000000000000		0.1535708008300
+0.3000000000000		0.1535708008300
+0.9000000000000		0.1961711720954
+1.5000000000000		0.2851330953631
+2.1000000000000		0.4117506785660
+2.7000000000000		0.5639097924078
+3.3000000000000		0.7212408627121
+3.9000000000000		0.8559228336693
+4.5000000000000		0.9395019698949
+5.1000000000000		0.9521812103876
+5.7000000000000		0.8901154138237
+6.3000000000000		0.7669547692918
+6.9000000000000		0.6087707161662
+7.5000000000000		0.4833106317160
+8.1000000000000		0.4833106317160
+
+
+"Time = 0.9000000000000
+-0.3000000000000		0.2419028715711
+0.3000000000000		0.2419028715711
+0.9000000000000		0.2806656382453
+1.5000000000000		0.3644680930451
+2.1000000000000		0.4820908511115
+2.7000000000000		0.6157607576356
+3.3000000000000		0.7447219357010
+3.9000000000000		0.8464196741952
+4.5000000000000		0.9011458603973
+5.1000000000000		0.8973392226736
+5.7000000000000		0.8348647235667
+6.3000000000000		0.7249114560560
+6.9000000000000		0.5961908306612
+7.5000000000000		0.5447292726098
+8.1000000000000		0.5447292726098
+
+
+"Time = 1.2000000000000
+-0.3000000000000		0.3593070173178
+0.3000000000000		0.3593070173178
+0.9000000000000		0.3973371351440
+1.5000000000000		0.4726908984644
+2.1000000000000		0.5744326807980
+2.7000000000000		0.6809664830879
+3.3000000000000		0.7717421624765
+3.9000000000000		0.8309955673036
+4.5000000000000		0.8496166364932
+5.1000000000000		0.8256353888324
+5.7000000000000		0.7629881913118
+6.3000000000000		0.6720991136427
+6.9000000000000		0.5965601814747
+7.5000000000000		0.6123161496473
+8.1000000000000		0.6123161496473
+
+
+"Time = 1.5000000000000
+-0.3000000000000		0.5052337514342
+0.3000000000000		0.5052337514342
+0.9000000000000		0.5420663473251
+1.5000000000000		0.6053658733846
+2.1000000000000		0.6828252976146
+2.7000000000000		0.7530063971160
+3.3000000000000		0.7974403898287
+3.9000000000000		0.8081376662953
+4.5000000000000		0.7870262578869
+5.1000000000000		0.7415508900000
+5.7000000000000		0.6798458589582
+6.3000000000000		0.6181253648479
+6.9000000000000		0.6142031995774
+7.5000000000000		0.6693929150129
+8.1000000000000		0.6693929150129
+
+
+"Time = 1.8000000000000
+-0.3000000000000		0.6787849324688
+0.3000000000000		0.6787849324688
+0.9000000000000		0.7096278604905
+1.5000000000000		0.7554393617145
+2.1000000000000		0.7997808925635
+2.7000000000000		0.8246792188637
+3.3000000000000		0.8168537384980
+3.9000000000000		0.7766176744716
+4.5000000000000		0.7159301811155
+5.1000000000000		0.6501708223629
+5.7000000000000		0.5931099183071
+6.3000000000000		0.5747021865257
+6.9000000000000		0.6417822922166
+7.5000000000000		0.7065208220809
+8.1000000000000		0.7065208220809
+
+
+"Time = 2.1000000000000
+-0.3000000000000		0.8754683095197
+0.3000000000000		0.8754683095197
+0.9000000000000		0.8934902693274
+1.5000000000000		0.9137158682936
+2.1000000000000		0.9164670515964
+2.7000000000000		0.8887416558596
+3.3000000000000		0.8255930718110
+3.9000000000000		0.7358160562774
+4.5000000000000		0.6392270382962
+5.1000000000000		0.5572681008162
+5.7000000000000		0.5130515337411
+6.3000000000000		0.5496793568805
+6.9000000000000		0.6645438376387
+7.5000000000000		0.7220649107064
+8.1000000000000		0.7220649107064
+
+
+"Time = 2.4000000000000
+-0.3000000000000		1.0856681564264
+0.3000000000000		1.0856681564264
+0.9000000000000		1.0843677225765
+1.5000000000000		1.0695673643261
+2.1000000000000		1.0232864039845
+2.7000000000000		0.9384903774958
+3.3000000000000		0.8203872013323
+3.9000000000000		0.6859481069753
+4.5000000000000		0.5601814650436
+5.1000000000000		0.4697569495634
+5.7000000000000		0.4507093267062
+6.3000000000000		0.5418645842623
+6.9000000000000		0.6693523551711
+7.5000000000000		0.7188502917980
+8.1000000000000		0.7188502917980
+
+
+"Time = 2.7000000000000
+-0.3000000000000		1.2948926779457
+0.3000000000000		1.2948926779457
+0.9000000000000		1.2692815115984
+1.5000000000000		1.2113104711092
+2.1000000000000		1.1107305230053
+2.7000000000000		0.9682920558388
+3.3000000000000		0.7994103260134
+3.9000000000000		0.6281888003216
+4.5000000000000		0.4827040639488
+5.1000000000000		0.3958201371629
+5.7000000000000		0.4136951093657
+6.3000000000000		0.5410877800408
+6.9000000000000		0.6517663364886
+7.5000000000000		0.7000497905769
+8.1000000000000		0.7000497905769
+
+
+"Time = 3.0000000000000
+-0.3000000000000		1.4849088247045
+0.3000000000000		1.4849088247045
+0.9000000000000		1.4321131595311
+1.5000000000000		1.3265387801170
+2.1000000000000		1.1701952716927
+2.7000000000000		0.9740270269296
+3.3000000000000		0.7623780083279
+3.9000000000000		0.5647666919682
+4.5000000000000		0.4117943814614
+5.1000000000000		0.3436602535239
+5.7000000000000		0.4018301239514
+6.3000000000000		0.5341999420659
+6.9000000000000		0.6165235604148
+7.5000000000000		0.6671573178024
+8.1000000000000		0.6671573178024
diff --git a/test/test_wavef90_flat/phi_max.tl b/test/test_wavef90_flat/phi_max.tl
index 6ca871c..be44420 100644
--- a/test/test_wavef90_flat/phi_max.tl
+++ b/test/test_wavef90_flat/phi_max.tl
@@ -1,12 +1,12 @@
-"phi maximum v time
-0.000000           0.9999198827161
-0.300000           1.0032036387356
-0.600000           1.0165679308821
-0.900000           1.0475533118886
-1.200000           1.1036047450756
-1.500000           1.1902041732567
-1.800000           1.3188502049547
-2.100000           1.5204576862657
-2.400000           1.8287092321577
-2.700000           2.1691949368406
-3.000000           2.4647796185994
+"phi v time
+0.0000000000000	0.9999198827161
+0.3000000000000	0.9888123616498
+0.6000000000000	0.9562359086195
+0.9000000000000	0.9067795980557
+1.2000000000000	0.8496166364932
+1.5000000000000	0.8081376662953
+1.8000000000000	0.8258203526929
+2.1000000000000	0.9178957669541
+2.4000000000000	1.0856681564264
+2.7000000000000	1.2948926779457
+3.0000000000000	1.4849088247045
diff --git a/test/test_wavef90_flat/phi_min.tl b/test/test_wavef90_flat/phi_min.tl
index c0a91e0..158a587 100644
--- a/test/test_wavef90_flat/phi_min.tl
+++ b/test/test_wavef90_flat/phi_min.tl
@@ -1,12 +1,12 @@
-"phi minimum v time
-0.000000           0.0000304406955
-0.300000           0.0001465972066
-0.600000           0.0001143216163
-0.900000           0.0000964170217
-1.200000          -0.0013687670109
-1.500000          -0.0114672988868
-1.800000          -0.0351488213380
-2.100000          -0.0715040334407
-2.400000          -0.1142636448684
-2.700000          -0.1591448955696
-3.000000          -0.2025646937270
+"phi v time
+0.0000000000000	0.0000304406955
+0.3000000000000	0.0003377273631
+0.6000000000000	0.0006209855764
+0.9000000000000	0.0012532195632
+1.2000000000000	0.0024452791489
+1.5000000000000	0.0045274443800
+1.8000000000000	0.0079843605332
+2.1000000000000	0.0135034762510
+2.4000000000000	0.0220277236611
+2.7000000000000	0.0347954773920
+3.0000000000000	0.0533504231527
diff --git a/test/test_wavef90_flat/phi_nm1.tl b/test/test_wavef90_flat/phi_nm1.tl
index 4c10a1a..36352c5 100644
--- a/test/test_wavef90_flat/phi_nm1.tl
+++ b/test/test_wavef90_flat/phi_nm1.tl
@@ -1,12 +1,12 @@
-"phi norm1 v time
-0.000000           0.3981503311756
-0.300000           0.3713690693778
-0.600000           0.3383168162696
-0.900000           0.3067874541905
-1.200000           0.2756864662442
-1.500000           0.2451156880568
-1.800000           0.2182889145403
-2.100000           0.1981884358341
-2.400000           0.1866573423961
-2.700000           0.1839153116634
-3.000000           0.1894786214680
+"phi v time
+0.0000000000000	0.3981503311756
+0.3000000000000	0.4062338987340
+0.6000000000000	0.4085282073706
+0.9000000000000	0.4131803092875
+1.2000000000000	0.4192297830242
+1.5000000000000	0.4257715598902
+1.8000000000000	0.4322178043406
+2.1000000000000	0.4383179662876
+2.4000000000000	0.4439836085911
+2.7000000000000	0.4490792835481
+3.0000000000000	0.4533289073011
diff --git a/test/test_wavef90_flat/phi_nm2.tl b/test/test_wavef90_flat/phi_nm2.tl
index e8cf1c9..d6496e2 100644
--- a/test/test_wavef90_flat/phi_nm2.tl
+++ b/test/test_wavef90_flat/phi_nm2.tl
@@ -1,12 +1,12 @@
-"phi norm2 v time
-0.000000           0.5254444636163
-0.300000           0.5023078517618
-0.600000           0.4780830633687
-0.900000           0.4572246442845
-1.200000           0.4409206328223
-1.500000           0.4300443703310
-1.800000           0.4248526818201
-2.100000           0.4246649022785
-2.400000           0.4276629880761
-2.700000           0.4310485190783
-3.000000           0.4314829295938
+"phi v time
+0.0000000000000	0.5254444636163
+0.3000000000000	0.5255851846131
+0.6000000000000	0.5183503502621
+0.9000000000000	0.5088777972295
+1.2000000000000	0.4993288280018
+1.5000000000000	0.4916156613194
+1.8000000000000	0.4870795558610
+2.1000000000000	0.4863040478472
+2.4000000000000	0.4889516209100
+2.7000000000000	0.4937962556257
+3.0000000000000	0.4990403517092
diff --git a/test/test_wavef90_zero/phi.xl b/test/test_wavef90_zero/phi.xl
index e98b912..0cb8dd6 100644
--- a/test/test_wavef90_zero/phi.xl
+++ b/test/test_wavef90_zero/phi.xl
@@ -1,198 +1,198 @@
 
 
-"Time = 0.000000
--0.300000		0.0772707537752
-0.300000		0.0772707537752
-0.900000		0.1292593546971
-1.500000		0.2208214420284
-2.100000		0.3529089299372
-2.700000		0.5192102694005
-3.300000		0.6998161919677
-3.900000		0.8624762718586
-4.500000		0.9710346043534
-5.100000		0.9982370567948
-5.700000		0.9367420144351
-6.300000		0.8022624770949
-6.900000		0.6270073768484
-7.500000		0.4471508970148
-8.100000		0.2909622162579
-
-
-"Time = 0.300000
--0.300000		0.1393184064019
-0.300000		0.1393184064019
-0.900000		0.1975847110096
-1.500000		0.3062741452991
-2.100000		0.4554646524072
-2.700000		0.6299296619766
-3.300000		0.8021921868134
-3.900000		0.9366725320316
-4.500000		1.0007334088932
-5.100000		0.9771783117087
-5.700000		0.8714871457426
-6.300000		0.7095808925903
-6.900000		0.5273417858140
-7.500000		0.3576688235253
-8.100000		0.0000000000000
-
-
-"Time = 0.600000
--0.300000		0.2450657874844
-0.300000		0.2450657874844
-0.900000		0.3063938562633
-1.500000		0.4275754994725
-2.100000		0.5875326742492
-2.700000		0.7594519468076
-3.300000		0.9090544974737
-3.900000		1.0007207893735
-4.500000		1.0095375644101
-5.100000		0.9313582488327
-5.700000		0.7847341927681
-6.300000		0.6033335286836
-6.900000		0.4230286782330
-7.500000		0.2150600415987
-8.100000		0.0000000000000
-
-
-"Time = 0.900000
--0.300000		0.3968092201510
-0.300000		0.3968092201510
-0.900000		0.4612542907489
-1.500000		0.5868097261730
-2.100000		0.7462961828157
-2.700000		0.9011863559196
-3.300000		1.0121890493922
-3.900000		1.0475533118886
-4.500000		0.9938122606057
-5.100000		0.8613525959984
-5.700000		0.6803008397561
-6.300000		0.4885565892616
-6.900000		0.3045246703487
-7.500000		0.0664935828778
-8.100000		0.0000000000000
-
-
-"Time = 1.200000
--0.300000		0.5968864557660
-0.300000		0.5968864557660
-0.900000		0.6634200568401
-1.500000		0.7832867114987
-2.100000		0.9262870132775
-2.700000		1.0464509311060
-3.300000		1.1026365452681
-3.900000		1.0708606286750
-4.500000		0.9516509078131
-5.100000		0.7695373165573
-5.700000		0.5631271680828
-6.300000		0.3670224598721
-6.900000		0.1663170623995
-7.500000		-0.0410290666581
-8.100000		0.0000000000000
-
-
-"Time = 1.500000
--0.300000		0.8468638921866
-0.300000		0.8468638921866
-0.900000		0.9096824905158
-1.500000		1.0118902155622
-2.100000		1.1191797723429
-2.700000		1.1850521641052
-3.300000		1.1715777583589
-3.900000		1.0658428285460
-4.500000		0.8831617240967
-5.100000		0.6598679115944
-5.700000		0.4379095442727
-6.300000		0.2362346684669
-6.900000		0.0219784712293
-7.500000		-0.0865047825206
-8.100000		0.0000000000000
-
-
-"Time = 1.800000
--0.300000		1.1439552773541
-0.300000		1.1439552773541
-0.900000		1.1928303039108
-1.500000		1.2623590177638
-2.100000		1.3137084038740
-2.700000		1.3061063451054
-3.300000		1.2112923140727
-3.900000		1.0298141343834
-4.500000		0.7905117480480
-5.100000		0.5372599590175
-5.700000		0.3071448987473
-6.300000		0.0953131749857
-6.900000		-0.0982722870300
-7.500000		-0.0825441039747
-8.100000		0.0000000000000
-
-
-"Time = 2.100000
--0.300000		1.4777029324391
-0.300000		1.4777029324391
-0.900000		1.5007144586172
-1.500000		1.5197917554214
-2.100000		1.4960135325299
-2.700000		1.3989571738336
-3.300000		1.2160435134256
-3.900000		0.9625645974774
-4.500000		0.6776639588669
-5.100000		0.4063891714647
-5.700000		0.1709098688614
-6.300000		-0.0463782772060
-6.900000		-0.1666804619982
-7.500000		-0.0613695400451
-8.100000		0.0000000000000
-
-
-"Time = 2.400000
--0.300000		1.8287092321577
-0.300000		1.8287092321577
-0.900000		1.8146817721101
-1.500000		1.7655652525217
-2.100000		1.6506551991273
-2.700000		1.4540918571554
-3.300000		1.1827266218174
-3.900000		0.8664024004552
-4.500000		0.5496984395460
-5.100000		0.2703960530188
-5.700000		0.0303469781870
-6.300000		-0.1671711009694
-6.900000		-0.1781538036360
-7.500000		-0.0512017671384
-8.100000		0.0000000000000
-
-
-"Time = 2.700000
--0.300000		2.1691949368406
-0.300000		2.1691949368406
-0.900000		2.1093269062751
-1.500000		1.9782272412690
-2.100000		1.7620671001176
-2.700000		1.4640042823334
-3.300000		1.1111546893130
-3.900000		0.7458009973454
-4.500000		0.4117283405247
-5.100000		0.1308629446215
-5.700000		-0.1067546648427
-6.300000		-0.2428420827220
-6.900000		-0.1546186371945
-7.500000		-0.0603374850191
-8.100000		0.0000000000000
-
-
-"Time = 3.000000
--0.300000		2.4647796185994
-0.300000		2.4647796185994
-0.900000		2.3541828216963
-1.500000		2.1347782118799
-2.100000		1.8160434930701
-2.700000		1.4238944539878
-3.300000		1.0039199329446
-3.900000		0.6065979264337
-4.500000		0.2678633102603
-5.100000		-0.0097971466919
-5.700000		-0.2236160304934
-6.300000		-0.2627963430451
-6.900000		-0.1296994709694
-7.500000		-0.0782979301769
-8.100000		0.0000000000000
+"Time = 0.0000000000000
+-0.3000000000000		0.0772707537752
+0.3000000000000		0.0772707537752
+0.9000000000000		0.1292593546971
+1.5000000000000		0.2208214420284
+2.1000000000000		0.3529089299372
+2.7000000000000		0.5192102694005
+3.3000000000000		0.6998161919677
+3.9000000000000		0.8624762718586
+4.5000000000000		0.9710346043534
+5.1000000000000		0.9982370567948
+5.7000000000000		0.9367420144351
+6.3000000000000		0.8022624770949
+6.9000000000000		0.6270073768484
+7.5000000000000		0.4471508970148
+8.1000000000000		0.2909622162579
+
+
+"Time = 0.3000000000000
+-0.3000000000000		0.0971890085381
+0.3000000000000		0.0971890085381
+0.9000000000000		0.1458070585769
+1.5000000000000		0.2369245713152
+2.1000000000000		0.3677885574700
+2.7000000000000		0.5306119771765
+3.3000000000000		0.7053718642907
+3.9000000000000		0.8609363869443
+4.5000000000000		0.9631174446691
+5.1000000000000		0.9865820055056
+5.7000000000000		0.9249036421069
+6.3000000000000		0.7932839629405
+6.9000000000000		0.6223681325743
+7.5000000000000		0.4465889831319
+8.1000000000000		0.0000000000000
+
+
+"Time = 0.6000000000000
+-0.3000000000000		0.1535708008300
+0.3000000000000		0.1535708008300
+0.9000000000000		0.1961711720954
+1.5000000000000		0.2851330953631
+2.1000000000000		0.4117506785660
+2.7000000000000		0.5639097924078
+3.3000000000000		0.7212408627121
+3.9000000000000		0.8559228336693
+4.5000000000000		0.9395019698949
+5.1000000000000		0.9521812103876
+5.7000000000000		0.8901154138237
+6.3000000000000		0.7669547692918
+6.9000000000000		0.6087707161662
+7.5000000000000		0.3716633859330
+8.1000000000000		0.0000000000000
+
+
+"Time = 0.9000000000000
+-0.3000000000000		0.2419028715711
+0.3000000000000		0.2419028715711
+0.9000000000000		0.2806656382453
+1.5000000000000		0.3644680930451
+2.1000000000000		0.4820908511115
+2.7000000000000		0.6157607576356
+3.3000000000000		0.7447219357010
+3.9000000000000		0.8464196741952
+4.5000000000000		0.9011458603973
+5.1000000000000		0.8973392226736
+5.7000000000000		0.8348647235667
+6.3000000000000		0.7249114560560
+6.9000000000000		0.5682790192154
+7.5000000000000		0.2580960522298
+8.1000000000000		0.0000000000000
+
+
+"Time = 1.2000000000000
+-0.3000000000000		0.3593070173178
+0.3000000000000		0.3593070173178
+0.9000000000000		0.3973371351440
+1.5000000000000		0.4726908984644
+2.1000000000000		0.5744326807980
+2.7000000000000		0.6809664830879
+3.3000000000000		0.7717421624765
+3.9000000000000		0.8309955673036
+4.5000000000000		0.8496166364932
+5.1000000000000		0.8256353888324
+5.7000000000000		0.7629881913118
+6.3000000000000		0.6651211607812
+6.9000000000000		0.4834504857669
+7.5000000000000		0.1549879958083
+8.1000000000000		0.0000000000000
+
+
+"Time = 1.5000000000000
+-0.3000000000000		0.5052337514342
+0.3000000000000		0.5052337514342
+0.9000000000000		0.5420663473251
+1.5000000000000		0.6053658733846
+2.1000000000000		0.6828252976146
+2.7000000000000		0.7530063971160
+3.3000000000000		0.7974403898287
+3.9000000000000		0.8081376662953
+4.5000000000000		0.7870262578869
+5.1000000000000		0.7415508900000
+5.7000000000000		0.6781013707428
+6.3000000000000		0.5794850932678
+6.9000000000000		0.3580245399672
+7.5000000000000		0.0949209242783
+8.1000000000000		0.0000000000000
+
+
+"Time = 1.8000000000000
+-0.3000000000000		0.6787849324688
+0.3000000000000		0.6787849324688
+0.9000000000000		0.7096278604905
+1.5000000000000		0.7554393617145
+2.1000000000000		0.7997808925635
+2.7000000000000		0.8246792188637
+3.3000000000000		0.8168537384980
+3.9000000000000		0.7766176744716
+4.5000000000000		0.7159301811155
+5.1000000000000		0.6497347003090
+5.7000000000000		0.5808591384988
+6.3000000000000		0.4598058257783
+6.9000000000000		0.2209629240332
+7.5000000000000		0.0779347227323
+8.1000000000000		0.0000000000000
+
+
+"Time = 2.1000000000000
+-0.3000000000000		0.8754683095197
+0.3000000000000		0.8754683095197
+0.9000000000000		0.8934902693274
+1.5000000000000		0.9137158682936
+2.1000000000000		0.9164670515964
+2.7000000000000		0.8887416558596
+3.3000000000000		0.8255930718110
+3.9000000000000		0.7358160562774
+4.5000000000000		0.6391180077827
+5.1000000000000		0.5535577278858
+5.7000000000000		0.4677670094538
+6.3000000000000		0.3093542840059
+6.9000000000000		0.1092733501553
+7.5000000000000		0.0787035123287
+8.1000000000000		0.0000000000000
+
+
+"Time = 2.4000000000000
+-0.3000000000000		1.0856681564264
+0.3000000000000		1.0856681564264
+0.9000000000000		1.0843677225765
+1.5000000000000		1.0695673643261
+2.1000000000000		1.0232864039845
+2.7000000000000		0.9384903774958
+3.3000000000000		0.8203872013323
+3.9000000000000		0.6859208493469
+4.5000000000000		0.5590919523164
+5.1000000000000		0.4533338324316
+5.7000000000000		0.3346788774390
+6.3000000000000		0.1494659380441
+6.9000000000000		0.0432417878882
+7.5000000000000		0.0688889195117
+8.1000000000000		0.0000000000000
+
+
+"Time = 2.7000000000000
+-0.3000000000000		1.2948926779457
+0.3000000000000		1.2948926779457
+0.9000000000000		1.2692815115984
+1.5000000000000		1.2113104711092
+2.1000000000000		1.1107305230053
+2.7000000000000		0.9682920558388
+3.3000000000000		0.7994035116063
+3.9000000000000		0.6278759422662
+4.5000000000000		0.4770823187672
+5.1000000000000		0.3458544109261
+5.7000000000000		0.1843644248514
+6.3000000000000		0.0124589983589
+6.9000000000000		0.0141625967502
+7.5000000000000		0.0368828167001
+8.1000000000000		0.0000000000000
+
+
+"Time = 3.0000000000000
+-0.3000000000000		1.4849088247045
+0.3000000000000		1.4849088247045
+0.9000000000000		1.4321131595311
+1.5000000000000		1.3265387801170
+2.1000000000000		1.1701952716927
+2.7000000000000		0.9740253233278
+3.3000000000000		0.7622896738456
+3.9000000000000		0.5629221468522
+4.5000000000000		0.3919635823021
+5.1000000000000		0.2271084063325
+5.7000000000000		0.0323399681202
+6.3000000000000		-0.0765999455744
+6.9000000000000		-0.0059235580578
+7.5000000000000		-0.0083603520120
+8.1000000000000		0.0000000000000
diff --git a/test/test_wavef90_zero/phi_max.tl b/test/test_wavef90_zero/phi_max.tl
index 6ca871c..be44420 100644
--- a/test/test_wavef90_zero/phi_max.tl
+++ b/test/test_wavef90_zero/phi_max.tl
@@ -1,12 +1,12 @@
-"phi maximum v time
-0.000000           0.9999198827161
-0.300000           1.0032036387356
-0.600000           1.0165679308821
-0.900000           1.0475533118886
-1.200000           1.1036047450756
-1.500000           1.1902041732567
-1.800000           1.3188502049547
-2.100000           1.5204576862657
-2.400000           1.8287092321577
-2.700000           2.1691949368406
-3.000000           2.4647796185994
+"phi v time
+0.0000000000000	0.9999198827161
+0.3000000000000	0.9888123616498
+0.6000000000000	0.9562359086195
+0.9000000000000	0.9067795980557
+1.2000000000000	0.8496166364932
+1.5000000000000	0.8081376662953
+1.8000000000000	0.8258203526929
+2.1000000000000	0.9178957669541
+2.4000000000000	1.0856681564264
+2.7000000000000	1.2948926779457
+3.0000000000000	1.4849088247045
diff --git a/test/test_wavef90_zero/phi_min.tl b/test/test_wavef90_zero/phi_min.tl
index e775c9a..0dd14c9 100644
--- a/test/test_wavef90_zero/phi_min.tl
+++ b/test/test_wavef90_zero/phi_min.tl
@@ -1,12 +1,12 @@
-"phi minimum v time
-0.000000           0.0000304406955
-0.300000           0.0000000000000
-0.600000           0.0000000000000
-0.900000          -0.0034952304448
-1.200000          -0.0411412316017
-1.500000          -0.0865047825206
-1.800000          -0.1010058501545
-2.100000          -0.1666804619982
-2.400000          -0.1802317429085
-2.700000          -0.2439154012747
-3.000000          -0.2631246679902
+"phi v time
+0.0000000000000	0.0000304406955
+0.3000000000000	0.0000000000000
+0.6000000000000	0.0000000000000
+0.9000000000000	0.0000000000000
+1.2000000000000	0.0000000000000
+1.5000000000000	0.0000000000000
+1.8000000000000	0.0000000000000
+2.1000000000000	0.0000000000000
+2.4000000000000	0.0000000000000
+2.7000000000000	0.0000000000000
+3.0000000000000	-0.0765999455744
diff --git a/test/test_wavef90_zero/phi_nm1.tl b/test/test_wavef90_zero/phi_nm1.tl
index 1512af4..1a91814 100644
--- a/test/test_wavef90_zero/phi_nm1.tl
+++ b/test/test_wavef90_zero/phi_nm1.tl
@@ -1,12 +1,12 @@
-"phi norm1 v time
-0.000000           0.3981503311756
-0.300000           0.3546903638543
-0.600000           0.3207642732125
-0.900000           0.2847416577668
-1.200000           0.2545704912307
-1.500000           0.2290298620313
-1.800000           0.2139837556966
-2.100000           0.2072672216243
-2.400000           0.2062721559625
-2.700000           0.2091439421784
-3.000000           0.2123742100543
+"phi v time
+0.0000000000000	0.3981503311756
+0.3000000000000	0.3835609575618
+0.6000000000000	0.3770475832439
+0.9000000000000	0.3656629866583
+1.2000000000000	0.3503867604522
+1.5000000000000	0.3320390414889
+1.8000000000000	0.3109414493069
+2.1000000000000	0.2869325084805
+2.4000000000000	0.2596705183275
+2.7000000000000	0.2289845977281
+3.0000000000000	0.1969758912194
diff --git a/test/test_wavef90_zero/phi_nm2.tl b/test/test_wavef90_zero/phi_nm2.tl
index 391775a..6bd5c51 100644
--- a/test/test_wavef90_zero/phi_nm2.tl
+++ b/test/test_wavef90_zero/phi_nm2.tl
@@ -1,12 +1,12 @@
-"phi norm2 v time
-0.000000           0.5254444636163
-0.300000           0.4987761991202
-0.600000           0.4742582856532
-0.900000           0.4527991440251
-1.200000           0.4365144790955
-1.500000           0.4265570932041
-1.800000           0.4233123733258
-2.100000           0.4258633078976
-2.400000           0.4318755948552
-2.700000           0.4381196332530
-3.000000           0.4408974191965
+"phi v time
+0.0000000000000	0.5254444636163
+0.3000000000000	0.5198045367739
+0.6000000000000	0.5081716902189
+0.9000000000000	0.4898751878294
+1.2000000000000	0.4667161482619
+1.5000000000000	0.4404832689116
+1.8000000000000	0.4133295650863
+2.1000000000000	0.3873977220187
+2.4000000000000	0.3641346167334
+2.7000000000000	0.3440848322051
+3.0000000000000	0.3267346196753