% PPMAK   pp-宆僗僾儔僀儞偺慻棫偰
%
% PPMAK(BREAKS,COEFS) 偼丄僽儗乕僋億僀儞僩 BREAKS 偲學悢峴楍 COEFS 偐傜
% pp-宆偺僗僾儔僀儞傪慻棫偰傑偡丅COEFS 偺奺楍偼丄1偮偺學悢偲偟偰夝庍偝傟
% 傑偡丅偡側傢偪丄僗僾儔僀儞偼丄COEFS 偑D峴偺応崌丄D梫慺偺儀僋僩儖抣偲
% 偟偰摼傜傟傑偡丅偝傜偵丄L 傪 length(BREAKS)-1 偲偟偰丄僗僾儔僀儞偺師悢 
% K 偼丄(# cols(COEFS))/L 偲偟偰寁嶼偝傟傑偡丅偦偟偰丄COEFS 偼丄
% COEFS(i,:,j) 偑崅師偐傜掅師偵搉偭偰j斣栚偺懡崁幃嬫暘偺i斣栚偺峔惉梫慺偵
% 懳偡傞嬊強揑側懡崁幃學悢傪娷傓傕偺偲偟偰丄戝偒偝 [D,K,L] 偺3師尦攝楍偲
% 夝庍偝傟傑偡丅
%
% PPMAK 偼丄BREAKS 偲 COEFS 偺擖椡傪懀偟傑偡丅
%
% PPMAK(BREAKS,COEFS,D) 偼丄D 偑惓偺惍悢偱偁傞偲偒丄COEFS(i,j,:) 偑j斣栚
% 偺懡崁幃嬫暘偺i斣栚偺峔惉梫慺偵偮偄偰崅師偐傜掅師偺嬊強揑側懡崁幃學悢
% 傪娷傓傕偺偱偁傞偲偟偰丄戝偒偝 [D,L,K] 偱偁傞峴楍 COEFS 偲夝庍偟傑偡丅
% 偲偔偵丄師悢 K 偼丄COEFS 偺嵟屻偺師尦偲偟偰摼傜傟丄L 偼丄
% length(COEFS(:))/(D*K) 偲偟偰摼傜傟傑偡丅傑偨丄BREAKS 偼丄length L+1 
% 偱偁傞偙偲偑昁梫偱偡丅
% 僣乕儖儃僢僋僗偼丄戝偒偝 [D*L,K] 偲側傞傛偆偵 COEFS 傪惍宍偟偨2斣栚偺
% 宍幃偺傒傪撪晹揑偵巊梡偟傑偡丅
%
% 偨偲偊偽丄ppmak([1 3 4],[1 2 5 6;3 4 7 8])  偲
%           ppmak([1 3 4],[1 2;3 4;5 6;7 8],2)
% 偼丄摨偠娭悢傪巜掕偟傑偡 (師悢2偺2屄偺儀僋僩儖抣乯丅
%
% PPMAK(BREAKS,COEFS,SIZEC) 偼丄SIZEC 偑惓偺惍悢偺儀僋僩儖偱偁傞偲偒丄
% COEFS(i,j,:) 偑丄j斣栚偺懡崁幃嬫暘偺i斣栚偺峔惉梫慺偵偮偄偰崅師偐傜
% 掅師傊偺懡崁幃學悢傪娷傓傕偺偱偁傞偲偟偰丄COEFS 傪戝偒偝 
% SIZEC =: [D,L,K] 偱偁傞偲夝庍偟傑偡丅娭悢偺僞乕僎僢僩偺師尦偼丄
% SIZEC(1:end-2) 偲偟偰摼傜傟傑偡丅撪晹揑偵丄COEFS 偼丄戝偒偝 
% [prod(SIZEC(1:end-1)),K] 偺峴楍偵惍宍偝傟傑偡丅
%
% 偨偲偊偽丄婎杮嬫娫 [0..1] 傪傕偪丄偦偺抣偑峴楍 EYE(2) 偱偁傞掕悢娭悢傪
% 嶌惉偡傞偨傔偵偼丄埲壓偺僐儅儞僪傪巊梡偟傑偡丅
%      ppmak(0:1, eye(2), [2,2,1,1]);
%
% PPMAK({BREAKS1,...,BREAKSm},COEFS) 偼丄m曄悢僥儞僜儖愊僗僾儔僀儞傪pp-宆
% 偱嶌惉偟傑偡丅偙偺応崌丄COEFS 偼 [D,lk] 偺戝偒偝偱丄偡傋偰偺 i 偵懳偟偰
% lk := [l1*k1,...,lm*km] 偲 li = length(BREAKS{i})-1 偲夝庍偝傟丄D 偲 
% k :=[k1,...,km] 傪掕媊偟傑偡丅傕偟丄COEFS 偑m師尦攝楍側傜偽丄D 偼
% 1偵側傝傑偡丅
%
% PPMAK({BREAKS1,...,BREAKSm},COEFS,SIZEC) 偼丄COEFS 偺戝偒偝傪巜掕偡傞
% 偨傔偵丄晅壛揑側3斣栚偺堷悢傪巊梡偟傑偡丅COEFS 偺堄恾偝傟傞戝偒偝偼丄
% 屻偵懕偔師尦偺1偮埲忋偑梫慺悢1偺師尦偱偁傞偨傔偵丄偦傟偑柍帇偝傟偰
% COEFS 帺懱偑傛傝掅偄師尦偱尰傟偰偟傑偆応崌偵昁梫偲偝傟傑偡丅
%
% 偨偲偊偽丄巐妏宍 [-1 .. 1] x [0 .. 1] 忋偺2屄偺儀僋僩儖抣偺2曄悢偺
% 懡崁幃傪嶌惉偟傛偆偲偟偨応崌丄嵟弶偺曄悢偼慄宍偱丄2斣栚偼掕悢偲偟偰
% 埲壓偺傛偆偵側傝傑偡丅
%      coefs = zeros(2,2,1); coefs(:,:,1) = [1 0; 0 1];
% 偙偺偲偒丄娙扨偵埲壓偺傛偆偵偡傞偲丄
%      pp = ppmak({[-1 1],[0 1]},coefs);
% 偮偓偺僐儅儞僪偲摨條偵丄奺曄悢偵偍偄偰師悢2偺僗僇儔抣偺娭悢傪惗惉
% 偡傞偨傔幐攕偟傑偡丅
%      pp = ppmak({[-1 1],[0 1]},coefs,size(coefs));
% 堦曽丄偮偓偺僐儅儞僪偼丄惉岟偟傑偡丅
%      pp = ppmak({[-1 1],[0 1]},coefs,[2 2 1]);
%
% 嶲峫 PPBRK, RPMAK, SPMAK, RSMAK, STMAK, FNBRK.


%   Copyright 1987-2004 C. de Boor and The MathWorks, Inc.