function series=love_numbers(varargin)
%LOVE_NUMBERS: provide love numbers 
%	retrieved from: http://www.srosat.com/iag-jsg/loveNb.php 
%	in a chosen reference frame 
%  
%	Usage: 
%	series = love_numbers('type','loadingverticaldisplacement','referenceframe','CM','maxdeg',1001) 
% 
%	- type = one of 'loadingverticaldisplacement', 'loadinggravitationalpotential', 'loadinghorizontaldisplacement',  ...
%                    'tidalverticaldisplacement', 'tidalgravitationalpotential', 'tidalhorizontaldisplacement'
%	- reference_frame = one of 'CM' (default) and 'CF'.
%   - maxdeg = default 1001
%
%	Example:  
%	h=love_number('type','loadingverticaldisplacement','referenceframe','CM','maxdeg',maxdeg);
%	k=love_number('type','loadinggravitationalpotential','referenceframe','CM','maxdeg',maxdeg);
%	l=love_number('type','loadinghorizontaldisplacement','referenceframe','CM','maxdeg',maxdeg);
%	th=love_number('type','tidalverticaldisplacement','referenceframe','CM','maxdeg',maxdeg);
%	tk=love_number('type','tidalgravitationalpotential','referenceframe','CM','maxdeg',maxdeg);
%	tl=love_number('type','tidalhorizontaldisplacement','referenceframe','CM','maxdeg',maxdeg);

%recover options: 
options=pairoptions(varargin{:});
type=getfieldvalue(options,'type');
frame=getfieldvalue(options,'referenceframe','CM');
maxdeg=getfieldvalue(options,'maxdeg',1000);

if(maxdeg>10000),
	error('PREM love numbers computed only for deg < 10,000. Request lower maxdeg' );
end

if ~( strcmpi(type,'loadingverticaldisplacement') | strcmpi(type,'loadinggravitationalpotential') | strcmpi(type,'loadinghorizontaldisplacement') ...
		| strcmpi(type,'tidalverticaldisplacement') | strcmpi(type,'tidalgravitationalpotential') | strcmpi(type,'tidalhorizontaldisplacement')), 
	error('type should be one of ''loadingverticaldisplacement'', ''loadinggravitationalpotential'', ''loadinghorizontaldisplacement'',''tidalverticaldisplacement'', ''tidalgravitationalpotential'', ''tidalhorizontaldisplacement''');
end

	love_numbers=[...
     0           0          0          0          0          0          0 
	-1.28740059	-1.00000000	-0.89858519 1.28740059 0.42519882 0.89858519 0.00000000
	-1.00025365 -0.30922675 0.02060926 1.69102690 0.46358648 0.67016399 0.61829668;
	-1.06243501 -0.19927948 0.06801636 1.86315553 0.55741597 0.73270416 0.56270589;
	-1.06779588 -0.13649834 0.05667027 1.93129754 0.63672498 0.80683140 0.51132745;
	-1.10365923 -0.10736896 0.04401221 1.99629027 0.68737906 0.84861883 0.48642259;
	-1.16440348 -0.09295485 0.03638747 2.07144863 0.72031283 0.87065768 0.47898268;
	-1.23634156 -0.08469861 0.03202759 2.15164295 0.74355796 0.88327380 0.47955214;
	-1.31140380 -0.07921412 0.02937593 2.23218968 0.76126493 0.89140995 0.48323250;
	-1.38582399 -0.07513541 0.02762338 2.31068858 0.77552290 0.89724121 0.48795424;
	-1.45807465 -0.07187005 0.02638627 2.38620460 0.78744212 0.90174369 0.49291061;
	-1.52763314 -0.06913154 0.02547640 2.45850160 0.79766475 0.90539206 0.49779422;
	-1.59437866 -0.06676258 0.02479080 2.52761607 0.80659635 0.90844662 0.50248477;
	-1.65833071 -0.06466619 0.02426511 2.59366452 0.81451271 0.91106870 0.50693175;
	-1.71954820 -0.06277732 0.02385464 2.65677088 0.82161167 0.91336804 0.51111243;
	-1.77809640 -0.06105001 0.02352654 2.71704639 0.82804049 0.91542346 0.51501712;
	-1.83403970 -0.05945081 0.02325609 2.77458889 0.83391153 0.91729309 0.51864363;
	-1.88744242 -0.05795502 0.02302469 2.82948740 0.83931209 0.91902029 0.52199490;
	-1.93837115 -0.05654418 0.02281843 2.88182697 0.84431095 0.92063739 0.52507761;
	-1.98689666 -0.05520447 0.02262706 2.93169219 0.84896295 0.92216847 0.52790108;
	-2.03309477 -0.05392545 0.02244322 2.97916932 0.85331225 0.92363132 0.53047654;
	-2.07704643 -0.05269926 0.02226173 3.02434717 0.85739480 0.92503902 0.53281639;
	-2.11883714 -0.05151988 0.02207909 3.06731726 0.86124014 0.92640103 0.53493369;
	-2.15855611 -0.05038274 0.02189307 3.10817337 0.86487276 0.92772419 0.53684176;
	-2.19629514 -0.04928430 0.02170238 3.14701084 0.86831322 0.92901331 0.53855386;
	-2.23214747 -0.04822179 0.02150643 3.18392568 0.87157886 0.93027178 0.54008294;
	-2.26620674 -0.04719301 0.02130509 3.21901373 0.87468453 0.93150190 0.54144148;
	-2.29856595 -0.04619619 0.02109858 3.25236976 0.87764301 0.93270523 0.54264140;
	-2.32931659 -0.04522983 0.02088735 3.28408675 0.88046543 0.93388282 0.54369397;
	-2.35854794 -0.04429270 0.02067197 3.31425524 0.88316156 0.93503533 0.54460979;
	-2.38634650 -0.04338368 0.02045310 3.34296281 0.88574004 0.93616321 0.54539877;
	-2.41279547 -0.04250179 0.02023142 3.37029367 0.88820859 0.93726678 0.54607015;
	-2.43797451 -0.04164613 0.02000761 3.39632839 0.89057416 0.93834626 0.54663248;
	-2.46195951 -0.04081583 0.01978231 3.42114367 0.89284301 0.93940185 0.54709369;
	-2.48482241 -0.04001011 0.01955614 3.44481230 0.89502085 0.94043375 0.54746112;
	-2.50663126 -0.03922817 0.01932966 3.46740309 0.89711291 0.94144217 0.54774153;
	-2.52745016 -0.03846928 0.01910337 3.48898088 0.89912397 0.94242735 0.54794114;
	-2.54733938 -0.03773269 0.01887774 3.50960670 0.90105847 0.94338957 0.54806571;
	-2.56635547 -0.03701769 0.01865317 3.52933779 0.90292050 0.94432915 0.54812051;
	-2.58455138 -0.03632358 0.01843000 3.54822780 0.90471386 0.94524642 0.54811044;
	-2.60197665 -0.03564968 0.01820854 3.56632697 0.90644209 0.94614178 0.54803997;
	-2.61867756 -0.03499532 0.01798905 3.58368224 0.90810850 0.94701563 0.54791326;
	-2.63469733 -0.03435985 0.01777176 3.60033748 0.90971616 0.94786840 0.54773413;
	-2.65007629 -0.03374263 0.01755683 3.61633367 0.91126798 0.94870054 0.54750610;
	-2.66485208 -0.03314303 0.01734443 3.63170905 0.91276665 0.94951253 0.54723245;
	-2.67905981 -0.03256047 0.01713468 3.64649934 0.91421471 0.95030485 0.54691620;
	-2.69273222 -0.03199435 0.01692767 3.66073787 0.91561457 0.95107798 0.54656015;
	-2.70589990 -0.03144411 0.01672347 3.67445580 0.91696845 0.95183242 0.54616691;
	-2.71859139 -0.03090919 0.01652215 3.68768220 0.91827849 0.95256866 0.54573889;
	-2.73083334 -0.03038907 0.01632374 3.70044427 0.91954667 0.95328719 0.54527835;
	-2.74265068 -0.02988323 0.01612826 3.71276745 0.92077487 0.95398851 0.54478739;
	-2.75406669 -0.02939118 0.01593573 3.72467551 0.92196486 0.95467309 0.54426797;
	-2.76510320 -0.02891245 0.01574615 3.73619076 0.92311833 0.95534141 0.54372191;
	-2.77578063 -0.02844656 0.01555950 3.74733406 0.92423685 0.95599393 0.54315095;
	-2.78611812 -0.02799309 0.01537578 3.75812503 0.92532192 0.95663113 0.54255669;
	-2.79613364 -0.02755161 0.01519496 3.76858203 0.92637496 0.95725343 0.54194065;
	-2.80584405 -0.02712170 0.01501701 3.77872235 0.92739730 0.95786128 0.54130424;
	-2.81526521 -0.02670298 0.01484191 3.78856223 0.92839022 0.95845511 0.54064880;
	-2.82441204 -0.02629506 0.01466961 3.79811697 0.92935491 0.95903532 0.53997561;
	-2.83329857 -0.02589759 0.01450009 3.80740098 0.93029251 0.95960232 0.53928586;
	-2.84193804 -0.02551021 0.01433329 3.81642782 0.93120412 0.96015649 0.53858067;
	-2.85034293 -0.02513260 0.01416919 3.82521033 0.93209074 0.96069821 0.53786112;
	-2.85852503 -0.02476443 0.01400773 3.83376061 0.93295337 0.96122784 0.53712821;
	-2.86649548 -0.02440538 0.01384888 3.84209010 0.93379291 0.96174574 0.53638291;
	-2.87426481 -0.02405518 0.01369258 3.85020963 0.93461026 0.96225224 0.53562612;
	-2.88184299 -0.02371352 0.01353880 3.85812947 0.93540625 0.96274768 0.53485873;
	-2.88923945 -0.02338014 0.01338749 3.86585931 0.93618168 0.96323236 0.53408154;
	-2.89646316 -0.02305478 0.01323861 3.87340838 0.93693730 0.96370661 0.53329534;
	-2.90352261 -0.02273718 0.01309211 3.88078542 0.93767383 0.96417071 0.53250089;
	-2.91042585 -0.02242710 0.01294795 3.88799874 0.93839197 0.96462494 0.53169888;
	-2.91718054 -0.02212431 0.01280609 3.89505623 0.93909236 0.96506960 0.53089002;
	-2.92379397 -0.02182859 0.01266648 3.90196538 0.93977564 0.96550493 0.53007493;
	-2.93027306 -0.02153971 0.01252908 3.90873334 0.94044240 0.96593120 0.52925424;
	-2.93662439 -0.02125748 0.01239386 3.91536691 0.94109322 0.96634866 0.52842854;
	-2.94285425 -0.02098169 0.01226077 3.92187256 0.94172863 0.96675754 0.52759839;
	-2.94896860 -0.02071215 0.01212977 3.92825645 0.94234915 0.96715808 0.52676434;
	-2.95497314 -0.02044868 0.01200082 3.93452446 0.94295529 0.96755050 0.52592690;
	-2.96087331 -0.02019110 0.01187388 3.94068220 0.94354752 0.96793501 0.52508656;
	-2.96667427 -0.01993924 0.01174893 3.94673503 0.94412630 0.96831183 0.52424380;
	-2.97238097 -0.01969293 0.01162591 3.95268804 0.94469206 0.96868116 0.52339906;
	-2.97799813 -0.01945201 0.01150481 3.95854612 0.94524521 0.96904318 0.52255277;
	-2.98353025 -0.01921634 0.01138557 3.96431391 0.94578617 0.96939809 0.52170535;
	-2.98898162 -0.01898576 0.01126817 3.96999586 0.94631531 0.96974607 0.52085719;
	-2.99435636 -0.01876014 0.01115257 3.97559622 0.94683300 0.97008729 0.52000868;
	-2.99965838 -0.01853932 0.01103875 3.98111905 0.94733959 0.97042193 0.51916016;
	-3.00489143 -0.01832319 0.01092666 3.98656824 0.94783543 0.97075015 0.51831198;
	-3.01005909 -0.01811161 0.01081628 3.99194748 0.94832084 0.97107211 0.51746448;
	-3.01516479 -0.01790446 0.01070757 3.99726033 0.94879613 0.97138796 0.51661796;
	-3.02021180 -0.01770162 0.01060052 4.00251017 0.94926160 0.97169786 0.51577273;
	-3.02520323 -0.01750298 0.01049508 4.00770025 0.94971755 0.97200194 0.51492908;
	-3.03014209 -0.01730842 0.01039123 4.01283367 0.95016424 0.97230035 0.51408727;
	-3.03503122 -0.01711783 0.01028894 4.01791339 0.95060195 0.97259323 0.51324758;
	-3.03987336 -0.01693111 0.01018819 4.02294225 0.95103094 0.97288070 0.51241024;
	-3.04467112 -0.01674816 0.01008894 4.02792295 0.95145145 0.97316290 0.51157550;
	-3.04942699 -0.01656889 0.00999117 4.03285810 0.95186373 0.97343995 0.51074358;
	-3.05414335 -0.01639319 0.00989485 4.03775017 0.95226799 0.97371196 0.50991471;
	-3.05882250 -0.01622097 0.00979997 4.04260153 0.95266447 0.97397906 0.50908908;
	-3.06346660 -0.01605215 0.00970649 4.04741445 0.95305338 0.97424136 0.50826689;
	-3.06807773 -0.01588664 0.00961439 4.05219109 0.95343492 0.97449897 0.50744832;
	-3.07265789 -0.01572436 0.00952364 4.05693353 0.95380929 0.97475200 0.50663356;
	-3.07720897 -0.01556522 0.00943423 4.06164375 0.95417670 0.97500055 0.50582277;
	-3.08173279 -0.01540916 0.00934613 4.06632364 0.95453731 0.97524472 0.50501611;
	-3.08623109 -0.01525608 0.00925931 4.07097501 0.95489131 0.97548461 0.50421372;
	-3.09070551 -0.01510592 0.00917376 4.07559959 0.95523888 0.97572032 0.50341576;
	-3.09515765 -0.01495861 0.00908946 4.08019904 0.95558018 0.97595193 0.50262236;
	-3.09958899 -0.01481408 0.00900637 4.08477492 0.95591537 0.97617955 0.50183364;
	-3.10400100 -0.01467225 0.00892449 4.08932875 0.95624461 0.97640325 0.50104973;
	-3.10839504 -0.01453308 0.00884379 4.09386196 0.95656806 0.97662313 0.50027073;
	-3.11277241 -0.01439648 0.00876425 4.09837593 0.95688585 0.97683927 0.49949676;
	-3.11713438 -0.01426240 0.00868586 4.10287198 0.95719812 0.97705174 0.49872791;
	-3.12148213 -0.01413079 0.00860858 4.10735134 0.95750503 0.97726063 0.49796429;
	-3.12581680 -0.01400157 0.00853241 4.11181522 0.95780669 0.97746601 0.49720597;
	-3.13013947 -0.01387471 0.00845733 4.11626476 0.95810324 0.97766796 0.49645304;
	-3.13445117 -0.01375013 0.00838331 4.12070104 0.95839480 0.97786656 0.49570558;
	-3.13875289 -0.01362779 0.00831034 4.12512510 0.95868150 0.97806186 0.49496366;
	-3.14304556 -0.01350764 0.00823841 4.12953792 0.95896344 0.97825395 0.49422734;
	-3.14733008 -0.01338963 0.00816748 4.13394045 0.95924075 0.97844289 0.49349669;
	-3.15160728 -0.01327370 0.00809756 4.13833358 0.95951352 0.97862874 0.49277177;
	-3.15587797 -0.01315981 0.00802862 4.14271816 0.95978188 0.97881157 0.49205262;
	-3.16014293 -0.01304792 0.00796064 4.14709501 0.96004592 0.97899144 0.49133930;
	-3.16440288 -0.01293797 0.00789361 4.15146491 0.96030574 0.97916842 0.49063185;
	-3.16865852 -0.01282993 0.00782751 4.15582858 0.96056144 0.97934256 0.48993030;
	-3.17291049 -0.01272375 0.00776233 4.16018673 0.96081312 0.97951392 0.48923471;
	-3.17715942 -0.01261940 0.00769805 4.16454003 0.96106086 0.97968255 0.48854509;
	-3.18140591 -0.01251682 0.00763466 4.16888910 0.96130476 0.97984852 0.48786148;
	-3.18565052 -0.01241598 0.00757215 4.17323454 0.96154490 0.98001187 0.48718390;
	-3.18989378 -0.01231685 0.00751049 4.17757693 0.96178137 0.98017266 0.48651237;
	-3.19413619 -0.01221938 0.00744968 4.18191681 0.96201424 0.98033094 0.48584692;
	-3.19837823 -0.01212354 0.00738970 4.18625469 0.96224360 0.98048676 0.48518756;
	-3.20262035 -0.01202930 0.00733053 4.19059105 0.96246952 0.98064017 0.48453431;
	-3.20686298 -0.01193661 0.00727217 4.19492637 0.96269208 0.98079121 0.48388717;
	-3.21110653 -0.01184546 0.00721461 4.19926107 0.96291135 0.98093994 0.48324615;
	-3.21535137 -0.01175579 0.00715782 4.20359557 0.96312741 0.98108639 0.48261126;
	-3.21959786 -0.01166759 0.00710179 4.20793027 0.96334031 0.98123062 0.48198250;
	-3.22384634 -0.01158082 0.00704652 4.21226552 0.96355014 0.98137266 0.48135988;
	-3.22809714 -0.01149545 0.00699199 4.21660169 0.96375694 0.98151256 0.48074338;
	-3.23235055 -0.01141146 0.00693819 4.22093909 0.96396080 0.98165035 0.48013301;
	-3.23660685 -0.01132880 0.00688511 4.22527805 0.96416176 0.98178609 0.47952876;
	-3.24086631 -0.01124746 0.00683273 4.22961885 0.96435989 0.98191980 0.47893063;
	-3.24512918 -0.01116741 0.00678105 4.23396177 0.96455525 0.98205153 0.47833860;
	-3.24939569 -0.01108862 0.00673005 4.23830707 0.96474789 0.98218132 0.47775267;
	-3.25366606 -0.01101107 0.00667973 4.24265499 0.96493787 0.98230920 0.47717282;
	-3.25794050 -0.01093473 0.00663007 4.24700577 0.96512525 0.98243520 0.47659903;
	-3.26221918 -0.01085957 0.00658106 4.25135961 0.96531007 0.98255937 0.47603130;
	-3.26650230 -0.01078557 0.00653269 4.25571672 0.96549239 0.98268174 0.47546960;
	-3.27079000 -0.01071272 0.00648495 4.26007729 0.96567225 0.98280233 0.47491391;
	-3.27508246 -0.01064097 0.00643784 4.26444149 0.96584971 0.98292119 0.47436422;
	-3.27937980 -0.01057032 0.00639134 4.26880948 0.96602482 0.98303834 0.47382051;
	-3.28368216 -0.01050074 0.00634544 4.27318141 0.96619761 0.98315382 0.47328275;
	-3.28798965 -0.01043222 0.00630013 4.27755743 0.96636814 0.98326765 0.47275091;
	-3.29230239 -0.01036472 0.00625541 4.28193767 0.96653645 0.98337988 0.47222499;
	-3.29662047 -0.01029823 0.00621126 4.28632224 0.96670258 0.98349051 0.47170494;
	-3.30094399 -0.01023273 0.00616768 4.29071126 0.96686657 0.98359960 0.47119074;
	-3.30527303 -0.01016819 0.00612465 4.29510483 0.96702847 0.98370715 0.47068237;
	-3.30960766 -0.01010461 0.00608218 4.29950304 0.96718831 0.98381321 0.47017979;
	-3.31394795 -0.01004197 0.00604024 4.30390598 0.96734614 0.98391779 0.46968299;
	-3.31829395 -0.00998024 0.00599883 4.30831372 0.96750198 0.98402093 0.46919192;
	-3.32264573 -0.00991940 0.00595795 4.31272633 0.96765588 0.98412265 0.46870656;
	-3.32700331 -0.00985945 0.00591759 4.31714387 0.96780788 0.98422297 0.46822687;
	-3.33136675 -0.00980035 0.00587773 4.32156640 0.96795801 0.98432191 0.46775284;
	-3.33573607 -0.00974211 0.00583838 4.32599396 0.96810630 0.98441951 0.46728441;
	-3.34011130 -0.00968470 0.00579951 4.33042660 0.96825278 0.98451579 0.46682157;
	-3.34449246 -0.00962810 0.00576113 4.33486436 0.96839750 0.98461077 0.46636427;
	-3.34887956 -0.00957230 0.00572323 4.33930726 0.96854048 0.98470447 0.46591248;
	-3.35327261 -0.00951729 0.00568581 4.34375533 0.96868175 0.98479691 0.46546617;
	-3.35767163 -0.00946304 0.00564884 4.34820858 0.96882135 0.98488812 0.46502531;
	-3.36207660 -0.00940956 0.00561233 4.35266704 0.96895930 0.98497811 0.46458986;
	-3.36648753 -0.00935681 0.00557627 4.35713071 0.96909563 0.98506691 0.46415977;
	-3.37090440 -0.00930480 0.00554066 4.36159960 0.96923037 0.98515454 0.46373503;
	-3.37532721 -0.00925350 0.00550548 4.36607371 0.96936355 0.98524102 0.46331559;
	-3.37975593 -0.00920290 0.00547073 4.37055303 0.96949520 0.98532636 0.46290141;
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	-6.27342525 -0.00031051 0.00019020 7.27311475 0.99905157 0.99949929 0.49327170;
	-6.27342533 -0.00031047 0.00019018 7.27311485 0.99905167 0.99949934 0.49327164;
	-6.27342540 -0.00031044 0.00019016 7.27311496 0.99905176 0.99949939 0.49327177;
	-6.27342548 -0.00031041 0.00019014 7.27311506 0.99905186 0.99949944 0.49327171;
	-6.27342555 -0.00031038 0.00019013 7.27311517 0.99905195 0.99949949 0.49327163;
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	-6.27342615 -0.00031013 0.00018997 7.27311601 0.99905271 0.99949989 0.49327176;
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	-6.27342733 -0.00030964 0.00018967 7.27311770 0.99905423 0.99950069 0.49327205;
	-6.27342741 -0.00030961 0.00018965 7.27311780 0.99905432 0.99950074 0.49327200;
	-6.27342748 -0.00030957 0.00018963 7.27311791 0.99905442 0.99950079 0.49327197;
	-6.27342756 -0.00030954 0.00018961 7.27311801 0.99905451 0.99950084 0.49327183;
	-6.27342763 -0.00030951 0.00018959 7.27311812 0.99905461 0.99950089 0.49327208;
	-6.27342771 -0.00030948 0.00018957 7.27311822 0.99905470 0.99950094 0.49327205;
	-6.27342778 -0.00030945 0.00018956 7.27311833 0.99905480 0.99950099 0.49327194];

	%cut off series at maxdeg: 
	love_numbers(maxdeg+2:end,:)=[];

	%retrive right type: 
	if strcmpi(type,'loadingverticaldisplacement'),
		series=love_numbers(:,1);
	elseif strcmpi(type,'loadinggravitationalpotential'),
		series=love_numbers(:,2);
	elseif strcmpi(type,'loadinghorizontaldisplacement'),
		series=love_numbers(:,3);
	elseif strcmpi(type,'tidalverticaldisplacement'),
		series=love_numbers(:,4);
	elseif strcmpi(type,'tidalgravitationalpotential'),
		series=love_numbers(:,5);
	elseif strcmpi(type,'tidalhorizontaldisplacement'),
		series=love_numbers(:,6);
	else 
		error(['love_numbers error message: unknow type:' type]);
	end

	% choose degree 1 term for CF reference system 
	if strcmpi(frame,'CM'), 
		return; 
	elseif strcmpi(frame,'CF'), % from Blewitt, 2003, JGR 
		if strcmpi(type,'loadingverticaldisplacement'),
			series(2,1) = -0.269; 
		elseif strcmpi(type,'loadinggravitationalpotential'),
			series(2,1) = 0.021;  
		elseif strcmpi(type,'loadinghorizontaldisplacement'),
			series(2,1) = 0.134; 
		end
	else 
		error(['love_numbers error message: unknow reference frame:' frame]);
	end



