{VERSION 5 0 "IBM INTEL NT" "5.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Text Output" -1 6 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 2 2 2 2 2 1 2 1 3 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Warning" -1 7 1 {CSTYLE "" -1 -1 "Co urier" 1 10 0 0 255 1 2 2 2 2 2 1 1 1 3 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Out put" -1 12 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 3 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1129 "################## ############# \n# printPrisms : Print s-prism and p-prism together \n# ############################### \nprintPrisms := proc(s_prism, p_prism , name) \n local i,j,k; \n\n printf(\"\\n%s\\n\",name); \n printf(\"|------------------| |------------------|\\n\"); \+ \n for j to N do \n printf(\"||---------------- || ||----------------||\\n\"); \n for k to Ni do \n printf(\"||\"); \n for i \+ to N do \n cc := subs(t=2, s_prism[i,j,N i+1-k]); \n printf(\"%3d,\",cc ); \n \+ end do; \n printf(\"||\");\n \n printf(\" \");\n\n \+ printf(\"||\"); \n for i to N do \n \+ printf(\"%3d,\",p_prism[i,j,Ni+1-k]); \n \+ end do; \n printf(\"||\\n\"); \n \+ end do; \n\n end do; \n printf(\"||------------ ----|| ||----------------||\\n\"); \n printf(\"|----------- -------| |------------------|\\n\"); \nend proc;" }}{PARA 7 "" 1 "" {TEXT -1 70 "Warning, `cc` is implicitly declared local to procedur e `printPrisms`\n" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%,printPrismsGf* 6%%(s_prismG%(p_prismG%%nameG6&%\"iG%\"jG%\"kG%#ccG6\"F/C'-%'printfG6$ Q%|+%s|+F/9&-F26#QP|gr------------------|gr~~~~~~|gr------------------ |gr|+F/?(8%\"\"\"F;%\"NG%%trueGC$-F26#QP|gr|gr----------------|gr|gr~~ ~~~~|gr|gr----------------|gr|gr|+F/?(8&F;F;%#NiGF=C)-F26#Q#|gr|grF/?( 8$F;F;F8'-%%subsG6$/%\"tG\"\"#&9$6%FJF:,(FDF;F;F;FC!\"\"-F26$Q%% 3d,F/FMFF-F26#Q'~~~~~~F/FF?(FJF;F;F " 0 "" {MPLTEXT 1 0 705 "############## ################# \n# printPrism : Print any prism which contains inte gers \n################################ \nprintPrism := proc(prism, na me) \n local i,j,k; \n\n printf(\"\\n%s\\n\",name); \n \+ printf(\"|------------------|\\n\"); \n for j to N do \n \+ printf(\"||----------------||\\n\"); \n for k to Ni do \n printf(\"||\"); \n \+ for i to N do \n printf(\"%3d,\" ,prism[i,j,Ni+1-k]); \n end do; \n \+ printf(\"||\\n\"); \n end do; \n\n end do ; \n printf(\"||----------------||\\n\"); \n printf(\"|--- ---------------|\\n\"); \nend proc;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6 #>%+printPrismGf*6$%&prismG%%nameG6%%\"iG%\"jG%\"kG6\"F-C'-%'printfG6$ Q%|+%s|+F-9%-F06#Q6|gr------------------|gr|+F-?(8%\"\"\"F9%\"NG%%true GC$-F06#Q6|gr|gr----------------|gr|gr|+F-?(8&F9F9%#NiGF;C%-F06#Q#|gr| grF-?(8$F9F9F:F;-F06$Q%%3d,F-&9$6%FHF8,(FBF9F9F9FA!\"\"-F06#Q$|gr|gr|+ F-F=F4F-F-F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 769 "########## ##################### \n# printsPrism : Print sPrism in pretty format \+ \n################################ \nprintsPrism := proc(prism,name) \+ \n local i,j,k,cc; \n\n printf(\"\\n%s\\n\",name); \n \+ printf(\"|------------------|\\n\"); \n for j to N do \n \+ printf(\"||----------------||\\n\"); \n \+ for k to Ni do \n printf(\"||\"); \n for i to N do \n \+ cc := subs(t=2, prism[i,j,Ni+1-k]); \n p rintf(\"%3d,\",cc ); \n end do; \n \+ printf(\"||\\n\"); \n end do; \n end do; \+ \n printf(\"||----------------||\\n\"); \n printf(\"|----- -------------|\\n\"); \nend proc; " }}{PARA 12 "" 1 "" {XPPMATH 20 "6# >%,printsPrismGf*6$%&prismG%%nameG6&%\"iG%\"jG%\"kG%#ccG6\"F.C'-%'prin tfG6$Q%|+%s|+F.9%-F16#Q6|gr------------------|gr|+F.?(8%\"\"\"F:%\"NG% %trueGC$-F16#Q6|gr|gr----------------|gr|gr|+F.?(8&F:F:%#NiGF8'-%%subsG6$/%\"tG\"\"#&9$6%FIF9,(FCF:F:F:FB! \"\"-F16$Q%%3d,F.FL-F16#Q$|gr|gr|+F.F>F5F.F.F." }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 366 "################################## \n# num2po ly :Converts Number to a Polynomial \n################################ # \n\nnum2poly := proc(n) \n\nlocal i,a,p,temp, carry, test; \n\na := \+ 0; \n\ntemp := n; \ni:=1; \nwhile temp<>0 do \n p := irem(temp,2); \+ \n if (p <> 0 ) then \n a := a + t^(i-1); \n fi; \n \+ temp := iquo(temp,2); \n i := i+1; \nod; \nreturn(a); \nend;" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%)num2polyGf*6#%\"nG6(%\"iG%\"aG%\"pG %%tempG%&carryG%%testG6\"F/C'>8%\"\"!>8'9$>8$\"\"\"?(F/F9F9F/0F5F3C&>8 &-%%iremG6$F5\"\"#@$0F>F3>F2,&F2F9)%\"tG,&F8F9F9!\"\"F9>F5-%%iquoGFA>F 8,&F8F9F9F9OF2F/F/F/" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 264 "## ############################### \n# bin2poly : Converts Binary Number \+ to a Polynomial \n################################# \n\nbin2poly := pr oc(word, wsize) \n\nlocal temp,i; \ntemp := 0; \n\nfor i to wsize do \+ \n temp := temp + word[i]*t^(i-1); \nod; \n\nreturn temp; \nend;" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%)bin2polyGf*6$%%wordG%&wsizeG6$%%tem pG%\"iG6\"F,C%>8$\"\"!?(8%\"\"\"F39%%%trueG>F/,&F/F3*&&9$6#F2F3)%\"tG, &F2F3F3!\"\"F3F3OF/F,F,F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 276 "################################## \n# poly2bin : Converts a Poly nomial to Binary Number \n################################# \n\npoly2b in := proc(poly, pdeg) \nlocal temp,i; \n\ntemp := Array(1..pdeg+1); \+ \nfor i to pdeg+1 do \n temp[i] := coeff(poly,t,i-1); \nod; \nretur n temp; \nend;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%)poly2binGf*6$%%po lyG%%pdegG6$%%tempG%\"iG6\"F,C%>8$-%&ArrayG6#;\"\"\",&9%F4F4F4?(8%F4F4 F5%%trueG>&F/6#F8-%&coeffG6%9$%\"tG,&F8F4F4!\"\"OF/F,F,F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 358 "################################## # \n# vec2num : Converts a Vector to Binary Number \n################# ################ \n\nvec2num := proc(n_vec, n_sz) \nlocal i,a,size_n,p ,temp, carry, test; \n\na := Array(1..n_sz); \n\ntemp := 0; \ni:=1; \n for i to n_sz do \n temp := temp + n_vec[i]*2^(i-1); \nod; \n#print( temp); \n#print(convert(temp,binary)); \nreturn(temp); \nend;" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%(vec2numGf*6$%&n_vecG%%n_szG6)%\"iG% \"aG%'size_nG%\"pG%%tempG%&carryG%%testG6\"F1C'>8%-%&ArrayG6#;\"\"\"9% >8(\"\"!>8$F9?(F?F9F9F:%%trueG>F<,&F " 0 "" {MPLTEXT 1 0 326 "########## ######################## \n# num2vec : Converts a Number to a Vector \+ \n################################# \n\nnum2vec := proc(n, n_sz) \nloc al i,a,size_n,p,temp, carry, test; \n\na := array(1..n_sz); \n\ntemp : = n; \ni:=1; \nfor i to n_sz do \n p := irem(temp,2); \n a[i] := p ; \n temp := iquo(temp,2); \nod; \nreturn(a); \nend;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%(num2vecGf*6$%\"nG%%n_szG6)%\"iG%\"aG%'size_nG% \"pG%%tempG%&carryG%%testG6\"F1C'>8%-%&arrayG6#;\"\"\"9%>8(9$>8$F9?(F? F9F9F:%%trueGC%>8'-%%iremG6$F<\"\"#>&F46#F?FD>F<-%%iquoGFGOF4F1F1F1" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 264 "######################### ######### \n# setzero : Initilialize f_coeff and sets Zero \n# 3. Dime nsion version \n################################# \n\nsetzero := proc( ) \n local i,j,k,f_coef; \n\n f_coef := Array(1..N,1..N,1. .Ni); \n\n return (f_coef); \nend;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%(setzeroGf*6\"6&%\"iG%\"jG%\"kG%'f_coefGF&F&C$>8'-%&ArrayG6%; \"\"\"%\"NGF2;F3%#NiGOF.F&F&F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 241 "################################## \n# setone : Initilialize \+ f_coeff and sets Zero \n################################# \n\nsetone : = proc(n) \n local i,j,k,f_coef; \n\n f_coef := Array(1..n ,1..n, fill=1); \n\n return (f_coef); \nend;" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%'setoneGf*6#%\"nG6&%\"iG%\"jG%\"kG%'f_coefG6\"F-C$> 8'-%&ArrayG6%;\"\"\"9$F4/%%fillGF5OF0F-F-F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 474 "################################## \n# map_prism \+ : Maps prism \n################################# \n\nmap_prism := proc (n) \nlocal i,j,k,a,p,temp, carry, test, Base; \n\na := Array(1..N,1.. N,1..Ni); \n\nBase := 2^4; \ntemp := n; \ncarry := 0; \n\nfor i to N d o \n for j to N do \n for k to Ni do \n p := irem(temp,Bas e); \n #print(convert(p,binary)); \n temp := iquo(temp,B ase); \n a[i,j,k] := num2poly(p,4); \n od; \n od; \nod; \n #print(a); \nreturn(a); \nend;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%*m ap_prismGf*6#%\"nG6+%\"iG%\"jG%\"kG%\"aG%\"pG%%tempG%&carryG%%testG%%B aseG6\"F2C(>8'-%&ArrayG6%;\"\"\"%\"NGF9;F:%#NiG>8,\"#;>8)9$>8*\"\"!?(8 $F:F:F;%%trueG?(8%F:F:F;FI?(8&F:F:F=FIC%>8(-%%iremG6$FBF?>FB-%%iquoGFS >&F56%FHFKFM-%)num2polyG6$FP\"\"%OF5F2F2F2" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 357 "################################## \n# map_num : M aps prism to number \n################################# \n\nmap_num := proc(n_prism) \nlocal i,j,k,sum, Base; \n\nBase := 2^4; \n\nsum := 0; \nfor i to N do \n for j to N do \n for k to Ni do \n sum := sum + 16^((i-1)*Ni*N + (j-1)*Ni + k-1)*subs(t=2,n_prism[i,j,k]); \+ \n od; \n od; \nod; \nreturn(sum); \nend;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%(map_numGf*6#%(n_prismG6'%\"iG%\"jG%\"kG%$sumG%%BaseG 6\"F.C&>8(\"#;>8'\"\"!?(8$\"\"\"F8%\"NG%%trueG?(8%F8F8F9F:?(8&F8F8%#Ni GF:>F4,&F4F8*&)F2,**(,&F7F8F8!\"\"F8F?F8F9F8F8*&,&FF8 F8FGF8-%%subsG6$/%\"tG\"\"#&9$6%F7FF8F8OF4F.F.F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1167 "################################## \n# \+ perm_initial :initilaize p_prism \n################################# \+ \n\nperm_initial := proc(s_prism) \nlocal i,j,k,ti,tj,p_prism,tmp; \n \np_prism := Array(1..N, 1..N, 1..Ni); \n\n# this can be precomputed t able \n# \n# set the random permutation \n#printf (\"\\n perm_initial \+ : Random permutation part\\n\"); \nfor i from 1 to N do \n for j fr om 1 to N do \n for k from 1 to Ni do \n p_prism[i,j,k] := \+ Ni*N*(i-1) + Ni*(j-1) + k; \n #printf (\"* %d \" , p_prism[i,j,k ]); \n od; \n od; \nod; \n\n# print initial s_prism and p_prism \nprintPrisms(s_prism, p_prism,\"map s_prism and p_prism= \"); \n\n# t his part cannot be precomputed table \n# if s_prims is not constant \n # \n#printf (\"\\n perm_initial : mixer part\\n\"); \nfor i from 1 t o N do \nfor j from 1 to N do \n for k from 1 to Ni do \n tmp := su bs(t=2, s_prism[i,j,k]); \n #printf (\"_%d\", tmp); \n ti := \+ irem(tmp,4) + 1; \n tj := iquo(tmp,4) + 1; \n tmp := p_prism[i,j ,k]; \n p_prism[i,j,k] := p_prism[ti,tj,k]; \n p_prism[ti,tj,k] \+ := tmp; \n #printf (\"\\n%d=%d_%d_%d~%d_%d - \" , tmp,ti,tj,k,p_pri sm[i,j,k],p_prism[ti,tj,k]); \nod;od;od; \n\nreturn p_prism; \n\nend ;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%-perm_initialGf*6#%(s_prismG6)% \"iG%\"jG%\"kG%#tiG%#tjG%(p_prismG%$tmpG6\"F0C'>8)-%&ArrayG6%;\"\"\"% \"NGF7;F8%#NiG?(8$F8F8F9%%trueG?(8%F8F8F9F>?(8&F8F8F;F>>&F36%F=F@FB,(* (,&F=F8F8!\"\"F8F;F8F9F8F8*&,&F@F8F8FIF8F;F8F8FBF8-%,printPrismsG6%9$F 3Q:map~s_prism~and~p_prism=~F0?(F=F8F8F9F>?(F@F8F8F9F>?(FBF8F8F;F>C(>8 *-%%subsG6$/%\"tG\"\"#&FOFE>8',&-%%iremG6$FV\"\"%F8F8F8>8(,&-%%iquoGF] oF8F8F8>FVFD>FD&F36%FinF`oFB>FfoFVOF3F0F0F0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13846 "################################## \n# dim3_fft 3. Dimensional FFT and apply effects on p_prism \n################### ############## \n\ndim3_fft := proc(time_coef, p_prism) \n\nlocal f_co ef,temp,i,j,k,l,tmp_coef, idx, cntr_plane, nxt_cntr_plane, cntr_plane_ L, cntr_plane_H; \nglobal N, Modulus; \n\nf_coef := Array(1..N, 1..N, \+ 1..Ni); \n\ncntr_plane := Array(1..N,1..Ni); \ncntr_plane_L := Arra y(1..N,1..N); \ncntr_plane_H := Array(1..N,1..N); \nnxt_cntr_plane := \+ Array(1..N,1..N); \n\n#f_coef := setzero(); #### since we use array \n \n\n# choose and set the swap control plane through k-axis \nplane_idx := 1; \nplane_idx1 := 5; \n\n######################################## ######################################################## \nfor i from \+ 1 to N do \n for j from 1 to N do \n cntr_plane_L[i,j] := time_co ef[i,j,plane_idx]; \n cntr_plane_H[i,j] := time_coef[i,j,pla ne_idx1]; \n nxt_cntr_plane[i,j] := time_coef[i,j,plane_idx+1] + t ime_coef[i,j,plane_idx1+1] mod 2; \n od; \nod; \n\nif (PRINT_LEVEL2 = 1) then\n print(\"cntr_plane_L\",cntr_plane_L); \n print(\"cntr_p lane_H\",cntr_plane_H); \n print(\"2nd_cntr_plane\",nxt_cntr_plane); \nfi;\n#print(plane_idx,\"1\",p_prism); \n\n######################### ###################################################################### # \n#printPrism(p_prism,\"pPrism before first swappings\"); \n\nfor i \+ from 1 to N do \n for j from 1 to N do \n\n #################### ############################################## \n # level 1 - (swap-1) \n if (coeff(cntr_plane_L[i,j],t,0) = 0) then \n tmp := p_prism[i,j,1]; \n p_prism[i,j ,1] := p_prism[i,j,2]; \n p_prism[i,j,2] := tmp; \n \+ fi; \n #printf (\"\\n cntr L 0 = %d\",coeff(cntr_plane_L [i,j],t,0)); \n\n # level 1 (swap-2) \n if (coef f(cntr_plane_L[i,j],t,1) = 0) then \n tmp := p_prism[i,j ,3]; \n p_prism[i,j,3] := p_prism[i,j,4]; \n \+ p_prism[i,j,4] := tmp; \n fi; \n #printf (\"\\n cntr L 1 = %d\",coeff(cntr_plane_L[i,j],t,1)); \n\n # leve l 1 (swap-5) \n if (coeff(cntr_plane_H[i,j],t,0) = 0) then \+ \n tmp := p_prism[i,j,5]; \n p_prism[i,j ,5] := p_prism[i,j,6]; \n p_prism[i,j,6] := tmp; \n \+ fi; \n #printf (\"\\n cntr H 0 = %d\",coeff(cntr_plane_H [i,j],t,0)); \n\n # level 1 (swap-6) \n if (coef f(cntr_plane_H[i,j],t,1) = 0) then \n tmp := p_prism[i, j,7]; \n p_prism[i,j,7] := p_prism[i,j,8]; \n \+ p_prism[i,j,8] := tmp; \n fi; \n #printf (\"\\n cntr H 1 = %d\",coeff(cntr_plane_H[i,j],t,1)); \n\n ########### ####################################################### \n \+ # level 2 (swap-3) \n if (coeff(cntr_plane_L[i,j],t ,2) = 0) then \n tmp := p_prism[i,j,2]; \n \+ p_prism[i,j,2] := p_prism[i,j,3]; \n p_prism[i,j,3] \+ := tmp; \n fi; \n #printf (\"\\n cntr L 2 = %d\",coef f(cntr_plane_L[i,j],t,2)); \n\n # level 2 (swap-4) \n \+ if (coeff(cntr_plane_L[i,j],t,3) = 0) then \n tmp \+ := p_prism[i,j,1]; \n p_prism[i,j,1] := p_prism[i,j,4]; \+ \n p_prism[i,j,4] := tmp; \n fi; \n #pr intf (\"\\n cntr L 3 = %d\",coeff(cntr_plane_L[i,j],t,3)); \n\n \+ # level 2 (swap-7) \n if (coeff(cntr_plane_H[i,j],t,2) = 0) then \n tmp := p_prism[i,j,6]; \n p _prism[i,j,6] := p_prism[i,j,7]; \n p_prism[i,j,7] := t mp; \n fi; \n #printf (\"\\n cntr H 2 = %d\",coeff(cn tr_plane_H[i,j],t,2)); \n\n # level 2 (swap-8) \n \+ if (coeff(cntr_plane_H[i,j],t,3) = 0) then \n tmp := \+ p_prism[i,j,5]; \n p_prism[i,j,5] := p_prism[i,j,8]; \n p_prism[i,j,8] := tmp; \n fi; \n #pri ntf (\"\\n cntr H 3 = %d\",coeff(cntr_plane_H[i,j],t,3)); \n\n # printPrism(p_prism,\"pPrism before level 3swappings\"); \n\n ### ############################################################### \n \+ # level 3 (swap-9) \n if (coeff(nxt_cntr_plane[i,j], t,0) = 0) then \n tmp := p_prism[i,j,1]; \n \+ p_prism[i,j,1] := p_prism[i,j,8]; \n p_prism[i,j,8] := tmp; \n fi; \n #printf (\"\\n nxt_cntr 0 = %d\",c oeff(nxt_cntr_plane[i,j],t,0)); \n\n # level 3 (swap-10) \n if (coeff(nxt_cntr_plane[i,j],t,1) = 0) then \n \+ tmp := p_prism[i,j,2]; \n p_prism[i,j,2] := p_pris m[i,j,7]; \n p_prism[i,j,7] := tmp; \n fi; \+ \n #printf (\"\\n nxt_cntr 1 = %d\",coeff(nxt_cntr_plane[i,j],t, 1)); \n\n # level 3 (swap-11) \n if (coeff(nxt_c ntr_plane[i,j],t,2) = 0) then \n tmp := p_prism[i,j,3]; \n p_prism[i,j,3] := p_prism[i,j,6]; \n \+ p_prism[i,j,6] := tmp; \n fi; \n #printf (\"\\n nxt_ cntr 2 = %d\",coeff(nxt_cntr_plane[i,j],t,2)); \n\n # level 3 (swap-12) \n if (coeff(nxt_cntr_plane[i,j],t,3) = 0) the n \n tmp := p_prism[i,j,4]; \n p_prism[i ,j,4] := p_prism[i,j,5]; \n p_prism[i,j,5] := tmp; \n \+ fi; \n #printf (\"\\n nxt_cntr 3 = %d\",coeff(nxt_cntr _plane[i,j],t,3)); \n\n #printPrism(p_prism,\"pPrism after level 3swappings\"); \n od; \nod; \n#printPrism(p_prism,\"pPrism after fir st swappings\"); \n#print(plane_idx,\"1\",p_prism); \n\n############## ###################################################################### ############ \n# compute transform - first iteration through k-axis \n for i from 1 to N do \n for j from 1 to N do \n for k from 1 to Ni do \n for l from 1 to N do \n f_coef[i, j, k] \+ := f_coef[i, j, k] + Fi_matrix[k,l]*subs(t=2, time_coef[i, j, l]) mod Modulus; \n #f_coef[i, j, k] := rem(f_coef[i, j, k] + re m( F_matrix[k,l]*time_coef[i, j, l], defPoly,t), defPoly,t) mod 2; \n \+ od; \n #f_coef[i, j, k] := num2poly(f_coef[i, j, k],5); \+ \n od; \n od; \nod; \n\n######################################## ######################################################## \nprintPrisms (f_coef,p_prism,\"s_prism after first DFT iteration through k-axis and p_prism after 1st and 2nd swappings\"); \n########################### ##################################################################### \+ \n\n#print(\"1\",f_coef); \ntmp_coef := f_coef; \n#print(\"n1\",tmp_co ef); \nf_coef := setzero(); ########## setZero here ########### ########### \n#print(\"n2\",tmp_coef); \n\n#break; \n\n############### ###################################################################### ########### \n# rotate the plane and set the swap table (p_prism_plane ) j-axis \nplane_idx := plane_idx mod N + 1; \nfor i from 1 to N do \n for k from 1 to Ni do \n ### @note in the below line n um2poly called with two argument that the second have no effect on the funtion. so removed \n #idx := num2poly((k-1)+ Ni *(i-1),4);# add idx for balance \n #cntr_plane[i,k] := n um2poly(tmp_coef[i, plane_idx,k],4) + idx mod 2; \n\n id x := num2poly((k-1)+ Ni*(i-1)); \n cntr_plane[i,k] := nu m2poly(tmp_coef[i, plane_idx,k]) + idx mod 2; \n od; \nod;\nif (PRINT _LEVEL2 = 1) then \n print(\"3rd cntr_plane\",cntr_plane); \nfi;\n## ###################################################################### ######################## \n\n#printf (\"\\n -> %d \",plane_idx-1 mod N +1); \n#printf (\"\\n -> %d \",plane_idx mod N +1); \+ \n#printf (\"\\n -> %d \",plane_idx+1 mod N +1); \n#printf (\"\\n -> \+ %d \",plane_idx+2 mod N +1); \nfor i from 1 to N do \n for k from 1 to Ni do \n # level 1 (swap-1) \n #printf (\"\\n%d %d = %d\",i, k,coeff(cntr_plane[i,k],t,0)); \n if (coeff(cntr_plane[i,k],t,0) = \+ 0) then \n tmp := p_prism[i,plane_idx-1 mod N + 1,k]; \n \+ p_prism[i,plane_idx-1 mod N + 1,k] := p_prism[i,plane_idx mod N + 1, k]; \n p_prism[i,plane_idx mod N + 1,k] := tmp; \n fi; \n \+ # level 2 (swap-2) \n #printf (\"\\n%d %d = %d\",i,k,coeff(cntr _plane[i,k],t,1)); \n if (coeff(cntr_plane[i,k],t,1) = 0) then \n \+ tmp := p_prism[i,plane_idx+1 mod N + 1,k]; \n p_prism[i, plane_idx+1 mod N + 1,k] := p_prism[i,plane_idx+2 mod N + 1,k]; \n \+ p_prism[i,plane_idx+2 mod N + 1,k] := tmp; \n fi; \n # le vel 2 (swap-3) \n #printf (\"\\n%d %d = %d\",i,k,coeff(cntr_plan e[i,k],t,2)); \n if (coeff(cntr_plane[i,k],t,2) = 0) then \n \+ tmp := p_prism[i,plane_idx mod N + 1,k]; \n p_prism[i,plane_i dx mod N + 1,k] := p_prism[i,plane_idx+1 mod N + 1,k]; \n p_p rism[i,plane_idx+1 mod N + 1,k] := tmp; \n fi; \n # level 1 (sw ap-4) \n #printf (\"\\n%d %d = %d\",i,k,coeff(cntr_plane[i,k],t, 3)); \n if (coeff(cntr_plane[i,k],t,3) = 0) then \n tmp := p _prism[i,plane_idx-1 mod N + 1,k]; \n p_prism[i,plane_idx-1 mo d N + 1,k] := p_prism[i,plane_idx+2 mod N + 1,k]; \n p_prism[ i,plane_idx+2 mod N + 1,k] := tmp; \n fi; \nod;od; \n\n#print(plan e_idx,\"1\",p_prism); \n\n#printPrism(p_prism,\"p_prism after rotating the plane and setting the swap table\"); \n\n######################## ###################################################################### ## \n# compute transform - second iteration through j-axis \n\nfor i f rom 1 to N do \n for k from 1 to Ni do \n for j from 1 to N do \n for l from 1 to N do \n #f_coef[i, j, k] := rem(f_co ef[i, j, k] + rem( F_matrix[j,l]*tmp_coef[i, l, k], defPoly,t), defPol y,t) mod 2; \n f_coef[i, j, k] := f_coef[i, j, k] + F_matrix [j,l]*tmp_coef[i, l, k] mod Modulus; \n od; \n #f_coef[i , j, k] := num2poly(f_coef[i, j, k],5); \n od; \n od; \nod; \n\n# ###################################################################### ######################### \nprintPrisms(f_coef,p_prism,\"s_prism after second DFT iteration through j-axis and p_prism after third swapping \"); \n############################################################### ################################# \n\ntmp_coef := f_coef; \n#print(\"1 n\",tmp_coef); \nf_coef := setzero(); \n#print(\"2n\",tmp_coef); \n\n# break; \n\n########################################################### ##################################### \n# choose and set the swap cont rol plane through i-axis \nfor j from 1 to N do \n for k from 1 to Ni do \n idx := num2poly((k-1)+ Ni*(j-1),4);# add idx for balance \n #print(j,k,\" => \",idx, plane_idx); \n cntr_plane[j,k] := \+ num2poly(tmp_coef[plane_idx,j,k],4)+idx mod 2; \n od; \nod;\nif (PRIN T_LEVEL2 = 1) then \n print(\"4th cntr_plane\",cntr_plane); \nfi;\n# ###################################################################### ######################### \n#start swaping p_prism \nfor j from 1 to N do \n for k from 1 to Ni do \n # swap-1 \n if (coeff(cntr_plane [j,k],t,0) = 0) then \n tmp := p_prism[plane_idx-1 mod N + 1,j ,k]; \n p_prism[plane_idx-1 mod N + 1,j,k] := p_prism[plane_idx mod N + 1,j,k]; \n p_prism[plane_idx mod N + 1,j,k] := tmp; \n fi; \n # swap-2 \n if (coeff(cntr_plane[j,k],t,1) = 0) then \+ \n tmp := p_prism[plane_idx+1 mod N + 1,j,k]; \n p_pris m[plane_idx+1 mod N + 1,j,k] := p_prism[plane_idx+2 mod N + 1,j,k]; \+ \n p_prism[plane_idx+2 mod N + 1,j,k] := tmp; \n fi; \n \+ # swap-3 \n if (coeff(cntr_plane[j,k],t,2) = 0) then \n tmp \+ := p_prism[plane_idx mod N + 1,j,k]; \n p_prism[plane_idx mod \+ N + 1,j,k] := p_prism[plane_idx+1 mod N + 1,j,k]; \n p_prism[ plane_idx+1 mod N + 1,j,k] := tmp; \n fi; \n # swap-4 \n if \+ (coeff(cntr_plane[j,k],t,3) = 0) then \n tmp := p_prism[plane_i dx-1 mod N + 1,j,k]; \n p_prism[plane_idx-1 mod N + 1,j,k] := p_prism[plane_idx+2 mod N + 1,j,k]; \n p_prism[plane_idx+2 mo d N + 1,j,k] := tmp; \n fi; \nod;od; \n#printPrism(p_prism,\"p_pri sm after rotating i axis the plane and setting the swap table\"); \n\n #print(plane_idx,\"1\",p_prism); \n\n#break; \n####################### ###################################################################### ### \n# compute transform - third iteration i-axis \nfor j from 1 to N do \n for k from 1 to Ni do \n for i from 1 to N do \n fo r l from 1 to N do \n #f_coef[i, j, k] := rem(f_coef[i, j, k ] + rem( F_matrix[i,l]*tmp_coef[l, j, k], defPoly,t), defPoly,t) mod 2 ; \n f_coef[i, j, k] := f_coef[i, j, k] + F_matrix[i,l]*tmp_ coef[l, j, k] mod Modulus; \n od; \n od; \n od; \nod; \n\n ###################################################################### ########################## \nprintPrisms(f_coef,p_prism,\"s_prism afte r 3rd DFT iteration through i-axis and p_prism after 4th swapping\"); \+ \n#################################################################### ############################ \n\nfor j from 1 to N do \n for k from 1 to Ni do \n for i from 1 to N do \n idx := iquo((k-1)+ Ni*( j-1)+Ni*N*(i-1),16);# add idx for balance \n #printf (\"\\n%d %d %d = > %d \" , j-1,k-1,i-1,idx); \n p_prism_L[i, j, k] := rem(t ^7*(iquo(f_coef[i, j, k],16)+idx mod 2) + num2poly(p_prism[i, j, k],7) ,t^4,t) mod 2; \n p_prism_H[i, j, k] := quo(t^7*(iquo(f_coef[i, \+ j, k],16)+idx mod 2) + num2poly(p_prism[i, j, k],7),t^4,t) mod 2; \n \+ od; \n od; \nod; \n#printsPrism(p_prism_L,\"p_prism_L after first \+ iteration through i-axis\"); \n#printsPrism(p_prism_H,\"p_prism_H afte r first iteration through i-axis\"); \n############################### ################################################################# \n# \+ We do not keep data in poly form. this era is skipped \n############## ###################################################################### ############ \nfor j from 1 to N do \n for k from 1 to Ni do \n f or i from 1 to N do \n f_coef[i, j, k] := num2poly(f_coef[ i, j, k],4); \n od; \n od; \nod; \n\n#print(\"trans\",f_coef); \n \nRETURN (f_coef, p_prism, p_prism_H, p_prism_L); \nend;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 7 "" 1 "" {TEXT -1 74 "Warning, \+ `plane_idx` is implicitly declared local to procedure `dim3_fft`\n" }} {PARA 7 "" 1 "" {TEXT -1 75 "Warning, `plane_idx1` is implicitly decla red local to procedure `dim3_fft`\n" }}{PARA 7 "" 1 "" {TEXT -1 68 "Wa rning, `tmp` is implicitly declared local to procedure `dim3_fft`\n" } }{PARA 7 "" 1 "" {TEXT -1 74 "Warning, `p_prism_L` is implicitly decla red local to procedure `dim3_fft`\n" }}{PARA 7 "" 1 "" {TEXT -1 74 "Wa rning, `p_prism_H` is implicitly declared local to procedure `dim3_fft `\n" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%)dim3_fftGf*6$%*time_coefG%(p _prismG63%'f_coefG%%tempG%\"iG%\"jG%\"kG%\"lG%)tmp_coefG%$idxG%+cntr_p laneG%/nxt_cntr_planeG%-cntr_plane_LG%-cntr_plane_HG%*plane_idxG%+plan e_idx1G%$tmpG%*p_prism_LG%*p_prism_HG6\"F;C@>8$-%&ArrayG6%;\"\"\"%\"NG FB;FC%#NiG>8,-F@6$FBFE>8.-F@6$FBFB>8/FM>8-FM>80FC>81\"\"&?(8&FCFCFD%%t rueG?(8'FCFCFDFZC%>&FL6$FYFfn&9$6%FYFfnFT>&FPFjn&F\\o6%FYFfnFV>&FRFjn- %$modG6$,&&F\\o6%FYFfn,&FTFCFCFCFC&F\\o6%FYFfn,&FVFCFCFCFC\"\"#@$/%-PR INT_LEVEL2GFCC%-%&printG6$Q-cntr_plane_LF;FL-Fdp6$Q-cntr_plane_HF;FP-F dp6$Q/2nd_cntr_planeF;FR?(FYFCFCFDFZ?(FfnFCFCFDFZC.@$/-%&coeffG6%Fin% \"tG\"\"!FfqC%>82&9%6%FYFfnFC>Fjq&F[r6%FYFfnF^p>F^rFiq@$/-Fcq6%FinFeqF CFfqC%>Fiq&F[r6%FYFfn\"\"$>Fgr&F[r6%FYFfn\"\"%>F[sFiq@$/-Fcq6%F_oFeqFf qFfqC%>Fiq&F[r6%FYFfnFW>Fes&F[r6%FYFfn\"\"'>FhsFiq@$/-Fcq6%F_oFeqFCFfq C%>Fiq&F[r6%FYFfn\"\"(>Fbt&F[r6%FYFfn\"\")>FftFiq@$/-Fcq6%FinFeqF^pFfq C%>FiqF^r>F^rFgr>FgrFiq@$/-Fcq6%FinFeqFirFfqC%>FiqFjq>FjqF[s>F[sFiq@$/ -Fcq6%F_oFeqF^pFfqC%>FiqFhs>FhsFbt>FbtFiq@$/-Fcq6%F_oFeqFirFfqC%>FiqFe s>FesFft>FftFiq@$/-Fcq6%FcoFeqFfqFfqC%>FiqFjq>FjqFft>FftFiq@$/-Fcq6%Fc oFeqFCFfqC%>FiqF^r>F^rFbt>FbtFiq@$/-Fcq6%FcoFeqF^pFfqC%>FiqFgr>FgrFhs> FhsFiq@$/-Fcq6%FcoFeqFirFfqC%>FiqF[s>F[sFes>FesFiq?(FYFCFCFDFZ?(FfnFCF CFDFZ?(8(FCFCFFFZ?(8)FCFCFDFZ>&F>6%FYFfnF]y-Feo6$,&FayFC*&&%*Fi_matrix G6$F]yF_yFC-%%subsG6$/FeqF^p&F\\o6%FYFfnF_yFCFC%(ModulusG-%,printPrism sG6%F>F[rQcps_prism~after~first~DFT~iteration~through~k-axis~and~p_pri sm~after~1st~and~2nd~swappingsF;>8*F>>F>-%(setzeroGF;>FT,&-Feo6$FTFDFC FCFC?(FYFCFCFDFZ?(F]yFCFCFFFZC$>8+-%)num2polyG6#,(F]yFCFC!\"\"*&FFFC,& FYFCFCFg[lFCFC>&FH6$FYF]y-Feo6$,&-Fd[l6#&Ffz6%FYFTF]yFCFb[lFCF^p@$F`p- Fdp6$Q/3rd~cntr_planeF;FH?(FYFCFCFDFZ?(F]yFCFCFFFZC&@$/-Fcq6%F[\\lFeqF fqFfqC%>Fiq&F[r6%FY,&-Feo6$,&FTFCFCFg[lFDFCFCFCF]y>Fa]l&F[r6%FYF[[lF]y >Fh]lFiq@$/-Fcq6%F[\\lFeqFCFfqC%>Fiq&F[r6%FY,&-Feo6$FjoFDFCFCFCF]y>Fa^ l&F[r6%FY,&-Feo6$,&FTFCF^pFCFDFCFCFCF]y>Fg^lFiq@$/-Fcq6%F[\\lFeqF^pFfq C%>FiqFh]l>Fh]lFa^l>Fa^lFiq@$/-Fcq6%F[\\lFeqFirFfqC%>FiqFa]l>Fa]lFg^l> Fg^lFiq?(FYFCFCFDFZ?(F]yFCFCFFFZ?(FfnFCFCFDFZ?(F_yFCFCFDFZ>Fay-Feo6$,& FayFC*&&%)F_matrixG6$FfnF_yFC&Ffz6%FYF_yF]yFCFCF`z-Fbz6%F>F[rQ]ps_pris m~after~second~DFT~iteration~through~j-axis~and~p_prism~after~third~sw appingF;>FfzF>>F>Fhz?(FfnFCFCFDFZ?(F]yFCFCFFFZC$>Fb[l-Fd[l6$,(F]yFCFCF g[l*&FFFC,&FfnFCFCFg[lFCFCF]s>&FH6$FfnF]y-Feo6$,&-Fd[l6$&Ffz6%FTFfnF]y F]sFCFb[lFCF^p@$F`p-Fdp6$Q/4th~cntr_planeF;FH?(FfnFCFCFDFZ?(F]yFCFCFFF ZC&@$/-Fcq6%F[blFeqFfqFfqC%>Fiq&F[r6%Fc]lFfnF]y>Facl&F[r6%F[[lFfnF]y>F dclFiq@$/-Fcq6%F[blFeqFCFfqC%>Fiq&F[r6%Fc^lFfnF]y>F]dl&F[r6%Fi^lFfnF]y >F`dlFiq@$/-Fcq6%F[blFeqF^pFfqC%>FiqFdcl>FdclF]dl>F]dlFiq@$/-Fcq6%F[bl FeqFirFfqC%>FiqFacl>FaclF`dl>F`dlFiq?(FfnFCFCFDFZ?(F]yFCFCFFFZ?(FYFCFC FDFZ?(F_yFCFCFDFZ>Fay-Feo6$,&FayFC*&&Fh`l6$FYF_yFC&Ffz6%F_yFfnF]yFCFCF `z-Fbz6%F>F[rQhos_prism~after~3rd~DFT~iteration~through~i-axis~and~p_p rism~after~4th~swappingF;?(FfnFCFCFDFZ?(F]yFCFCFFFZ?(FYFCFCFDFZC%>Fb[l -%%iquoG6$,*F]yFCFCFg[lFhalFC*(FFFCFDFCFi[lFCFC\"#;>&83Fby-Feo6$-%$rem G6%,&*&)FeqFdtFC-Feo6$,&-Fifl6$FayF]glFCFb[lFCF^pFCFC-Fd[l6$&F[rFbyFdt FC*$)FeqF]sFCFeqF^p>&84Fby-Feo6$-%$quoGFeglF^p?(FfnFCFCFDFZ?(F]yFCFCFF FZ?(FYFCFCFDFZ>Fay-Fd[l6$FayF]s-%'RETURNG6&F>F[rFehlF`glF;6$FDF`zF;" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 2033 "######################## ########## \n# dim3_fft_inv :3. Dimensional inverse FFT \n############ ##################### \n\ndim3_fft_inv := proc(f_coef, F_inv_matrix) \+ \n\nlocal temp1,i, j, k,l, time_coef, sum,temp,index,tmp_coef; \nglob al N, Modulus; \n\ntime_coef := Array(1..N,1..N,1..Ni); #### last boun f was set to N changed to Ni \nindex := simplify(log[2](Base)); \n# print(f_coef); \n\n#time_coef := setzero(); #### We use Array no need anymore \n\n# compute transform - third iteration \nfor k from 1 to N do \n for j from 1 to N do \n for i from 1 to N do \n for l from 1 to N do \n time_coef[i, j, k] := rem(time_coef[i, \+ j, k] + rem(F_inv_matrix[i,l]*f_coef[l, j, k], defPoly,t), defPoly,t) \+ mod 2; \n od; \n od; \n od; \nod; \n\ntmp_coef := time_coe f; \ntime_coef := setzero(); \n\n# compute transform - second iteratio n \nfor i from 1 to N do \n for k from 1 to N do \n for j from 1 \+ to N do \n for l from 1 to N do \n time_coef[i, j, k] := rem(time_coef[i, j, k] + rem( F_inv_matrix[j,l]*tmp_coef[i, l, k], defPoly,t), defPoly,t) mod 2; \n od; \n od; \n od; \nod; \+ \n\ntmp_coef := time_coef; \ntime_coef := setzero(); \n\n# compute tra nsform - first iteration \nfor i from 1 to N do \n for j from 1 to N \+ do \n for k from 1 to N do \n for l from 1 to N do \n \+ time_coef[i, j, k] := rem(time_coef[i, j, k] + rem(F_inv_matrix[k ,l]*tmp_coef[i, j, l], defPoly,t), defPoly,t) mod 2; \n od; \n \+ od; \n od; \nod; \n\n\n#for j from 1 to N do \n# for k from 1 t o N do \n# time_coef[j] := rem(time_coef[j] + rem( F_inv_matrix[j ,k]*f_coef[k]*L_INV, defPoly,t), defPoly,t) mod 2; \n# od; \n#od; \n \n#sum := 0; \n#for i from 1 to N do \n# #temp := time_coef[i]; \n# \+ if (quo(time_coef[i],t^(N-2),t) = 1) then \n# time_coef[i] := ( defPoly+time_coef[i]) mod 2; \n# fi; \n# sum := expand(sum + tim e_coef[i]*t^(index*(i-1))) mod 2; \n# #print(sort(sum)); \n#od; \n#p rint(sort(sum)); \n#temp := subs(t=2,sum); \n#print(time_coef); \n#pri nt(\"Integer => \",temp); \n\nRETURN(time_coef); \n \nend;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%-dim3_fft_invGf*6$%'f_coefG%-F_inv_matrixG 6,%&temp1G%\"iG%\"jG%\"kG%\"lG%*time_coefG%$sumG%%tempG%&indexG%)tmp_c oefG6\"F4C,>8)-%&ArrayG6%;\"\"\"%\"NGF;;F<%#NiG>8,-%)simplifyG6#-&%$lo gG6#\"\"#6#%%BaseG?(8'F&F76%FRFPFM-%$modG6$-%$remG6%,&FVF<-Ffn6%*&&9%6$FRFTF<&9$6%FTFPFMF<% (defPolyG%\"tGF8-F7>F7-%(setzeroGF4?(FRFFV-FY6$-Ffn6%,&FVF<-Ffn6%*&&F]o6$FPFTF<&Feo6%F RFTFMFFeoF7>F7Fgo?(FRFFV-FY6$-Ffn6%,&FVF<-Ffn6%*&&F]o6$FMFTF<&Feo6%FRFPFTF " 0 "" {MPLTEXT 1 0 585 "################################## \n# affine_t rans_entry : Affine transformation for entries of s_prism \n########## ####################### \n\naffine_trans_entry := proc(poly) \nlocal a lfa, gama,deg,tmp,i,j,out; \n\nalfa := Array(1..4,1..4,[[1,0,1,1],[1,1 ,0,1],[1,1,1,0],[0,1,1,1]]); \ngama := [1,1,1,0]; \n\n#print(alfa);\nd eg := 3; \nout := Array(1..deg+1,[0,0,0,0]); \n\ntmp := poly2bin(poly, deg);#print(tmp); \n\nfor i to deg+1 do \n for j to deg+1 do \n \+ out[i] := out[i] + tmp[j]*alfa[i,j] mod 2; \n od; \n out[i] := out[i ] + gama[i] mod 2; \nod; \n#print(out);\nreturn(bin2poly(out,4)); \nen d;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%3affine_trans_entryGf*6#%%poly G6)%%alfaG%%gamaG%$degG%$tmpG%\"iG%\"jG%$outG6\"F0C)>8$-%&ArrayG6%;\" \"\"\"\"%F77&7&F8\"\"!F8F87&F8F8F8%F>>8&\"\"$> 8*-F56$;F8,&FCF8F8F87&F8'-%)poly2binG6$9$FC?(8(F8F8FJ%%trueGC$ ?(8)F8F8FJFT>&FF6#FS-%$modG6$,&FYF8*&&FM6#FWF8&F36$FSFWF8F8\"\"#>FY-Ff n6$,&FYF8&FAFZF8F^oO-%)bin2polyG6$FFF9F0F0F0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 697 "#test affine for fixed points \nalfa := Array(1 ..4,1..4,[[1,0,1,1],[1,1,0,1],[1,1,1,0],[0,1,1,1]]);\ntmp := 0; \nfor \+ j from 1 to 1 do \ngama := num2vec(7,4); \nprint(\"j\",j,gama); \nfor \+ i from 0 to 15 do \n ##res := affine_trans_entry(rem(num2poly(i)^14, \+ defPoly,t) mod 2, gama); \n ##if (num2poly(i)= res) then \n ## pri nt(\"fix\",j,i,num2poly(i), res); \n ##end; \n ##if (num2poly(i)= re s+t^4+defPoly mod 2) then \n ## print(\"oix\",j,i,num2poly(i), res+ t^4+defPoly mod 2 ); \n ##end; \n\n ##tmp := affine_trans_entry(rem( tmp^14, defPoly,t) mod 2, gama); \n ##print(i,subs(t=2,tmp)); \n \n # tmp := affine_trans_entry (rem(num2poly(i)^14, defPoly,t) mod \+ 2); \n # print(i,subs(t=2,tmp)); \nod;od;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%alfaG-%'RTABLEG6%\")CJu7-%'MATRIXG6#7&7&\"\"\"\"\"!F .F.7&F.F.F/F.7&F.F.F.F/7&F/F.F.F.%&ArrayG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$tmpG\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%gama G%\"aG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6%Q\"j6\"\"\"\"-%'vectorG6#7&F %F%F%\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 550 "############ ###################### \n# affine_trans : Affine transformation \n#### ############################# \n\naffine_trans := proc(a) \nlocal i,j, k, c_coef; \nglobal N, Modulus; \n\nc_coef := Array(1..N, 1..N, 1..Ni) ; \n\nfor i from 1 to N do \n for j from 1 to N do \n \+ for k from 1 to Ni do \n #c_coef[i, j, k] := affine_trans_entry(rem(a[i, j, k], defPoly,t) mod 2) ; \n \+ c_coef[i, j, k] := affine_trans_entry(a[i, j, k]) ; \n \+ od; \n od; \nod; \n\nRETURN(c_coef); \nend;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%-affine_transGf*6#%\"aG6&%\"iG%\"j G%\"kG%'c_coefG6\"F-C%>8'-%&ArrayG6%;\"\"\"%\"NGF4;F5%#NiG?(8$F5F5F6%% trueG?(8%F5F5F6F;?(8&F5F5F8F;>&F06%F:F=F?-%3affine_trans_entryG6#&9$FB -%'RETURNG6#F0F-6$F6%(ModulusGF-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1257 "################################## \n# xinv_func : \+ The X inverse funtion \n################################# \n\nxinv_fun c := proc(a) \n\n local i,j,k, c_coef, preTable,Base,tmp,p,test; \n global N, Modulus; \n \n Base = 2^4; \n c _coef := Array(1..N, 1..N, 1..Ni); \n preTable := Array(1..16); \+ \n\n for k to 16 do \n preTable[k] := rem((num2pol y(k-1,4))^14, defPoly,t) mod 2; \n tmp := subs(t=2, preT able[k]); \n #print (\"----\", k, \" = \", tmp); \n \+ od; \n\n for i from 1 to N do \n for j from 1 to N do \n for k from 1 to Ni do \n \+ tmp := subs(t=2, a[i,j,k]); \n \+ test := preTable[tmp+1 ]; \n \+ c_coef[i, j, k] := test; \n #printf (\"+%d\",tmp); \n #c_coef[i, j, k] := re m(a[i, j, k]^14, defPoly,t) mod 2; \n #p rint(\"Values >> \", test , c_coef[i, j, k]); \n \+ #print (\" << c := \", c_coef[i, j, k], \">> a := \", a[i, j , k], \"def := \", defPoly); \n od; \n \+ od; \n od; \n\n RETURN(c_coef); \nend;" }} {PARA 12 "" 1 "" {XPPMATH 20 "6#>%*xinv_funcGf*6#%\"aG6+%\"iG%\"jG%\"k G%'c_coefG%)preTableG%%BaseG%$tmpG%\"pG%%testG6\"F2C(/8)\"#;>8'-%&Arra yG6%;\"\"\"%\"NGF<;F=%#NiG>8(-F:6#;F=F6?(8&F=F=F6%%trueGC$>&FB6#FG-%$m odG6$-%$remG6%*$)-%)num2polyG6$,&FGF=F=!\"\"\"\"%\"#9F=%(defPolyG%\"tG \"\"#>8*-%%subsG6$/FgnFhnFK?(8$F=F=F>FH?(8%F=F=F>FH?(FGF=F=F@FHC%>Fjn- F\\o6$F^o&9$6%F`oFboFG>8,&FB6#,&FjnF=F=F=>&F8FjoF\\p-%'RETURNG6#F8F26$ F>%(ModulusGF2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 598 "######## ########################## \n# prism_add : Addition over prism \n##### ############################ \n\nprism_add := proc(a,b) \nlocal i,j,k, c_coef; \nglobal N, Modulus; \n\nc_coef := Array(1..N, 1..N, 1..Ni); \+ \n\nfor i from 1 to N do \n for j from 1 to N do \n for k from 1 \+ to Ni do \n c_coef[i, j, k] := rem(a[i, j, k]+b[i, j, k], defPo ly,t) mod 2 ; \n # print(a[i, j, k]+b[i, j, k], \"<=>\",c_coef[i, j, k] ); \n od; \n od; \nod; \n\n#for i from 0 to 50 do \n# print ( i, \" <=> \" , subs(t=2, rem (num2poly(i) , defPoly,t) mod 2)); \n#od; \n\nRETURN(c_coef); \nend; \n\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%*prism_addGf*6$%\"aG%\"bG6&%\"iG%\"jG%\"kG %'c_coefG6\"F.C%>8'-%&ArrayG6%;\"\"\"%\"NGF5;F6%#NiG?(8$F6F6F7%%trueG? (8%F6F6F7F&F16%F;F>F@-%$modG6$-%$remG6%,&&9$FCF6&9%FCF6% (defPolyG%\"tG\"\"#-%'RETURNG6#F1F.6$F7%(ModulusGF." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 688 "################################## \n# R ubic rotation : rotations on p_prism\n################################ # \n\nRubic_rot := proc(p_prism) \nlocal i,j,k, c_coef,p; \nglobal N, \+ Modulus; \n\nc_coef := setzero(); ###### set zero here ####### \n\nfo r i from 1 to N do \n for j from 1 to N do \n for k from 1 to Ni \+ do\n if (k mod 4 = 0) then \n c_coef[i, j, k] := p_pr ism[i, j, k];\n elif (k mod 4 = 1) then\n c_coef[i, j, k] := p_prism[5-j, i, k];\n elif (k mod 4 = 2) then\n \+ c_coef[i, j, k] := p_prism[j, i, k];\n elif (k mod 4 = 3) then \n c_coef[i, j, k] := p_prism[j, 5-i, k];\n fi;\n \+ od; \n od; \nod; \n \nRETURN(c_coef); \nend;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%*Rubic_rotGf*6#%(p_prismG6'%\"iG%\"jG%\"kG%'c_coefG% \"pG6\"F.C%>8'-%(setzeroGF.?(8$\"\"\"F6%\"NG%%trueG?(8%F6F6F7F8?(8&F6F 6%#NiGF8@*/-%$modG6$F<\"\"%\"\"!>&F16%F5F:F<&9$FG/F@F6>FF&FI6%,&\"\"&F 6F:!\"\"F5FFF&FI6%F:F5FFF&FI6%F:,&FOF6F5FPF<-%'RET URNG6#F1F.6$F7%(ModulusGF." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 467 "################################## \n# PermS : Permutation substi tution \n################################# \n\nPermS := proc(a, rperm) \nlocal i,j,k, c_coef,p; \nglobal N, Modulus; \n\nc_coef := setzero() ; ###### set zero here ####### \n\nfor i from 1 to N do \n for j fro m 1 to N do \n for k from 1 to Ni do \n p := rperm[i,j,k]; \+ \n c_coef[i, j, k] := a[iquo(p-1,32) mod 4 +1, iquo(p-1,4) mod \+ 4 +1, p-1 mod 8+1]; \n od; \n od; \nod; \n \nRETURN(c_coef); \nen d;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&PermSGf*6$%\"aG%&rpermG6'%\"i G%\"jG%\"kG%'c_coefG%\"pG6\"F/C%>8'-%(setzeroGF/?(8$\"\"\"F7%\"NG%%tru eG?(8%F7F7F8F9?(8&F7F7%#NiGF9C$>8(&9%6%F6F;F=>&F2FD&9$6%,&-%$modG6$-%% iquoG6$,&FAF7F7!\"\"\"#K\"\"%F7F7F7,&-FL6$-FO6$FQFTFTF7F7F7,&-FL6$FQ\" \")F7F7F7-%'RETURNG6#F2F/6$F8%(ModulusGF/" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 977 "################################## \n# sel_Hash_bi ts : select final hash bits on s_prism \n############################# #### \n\nsel_Hash_bits := proc(s, mask) \nlocal i, mask_num, s_entry, \+ mask_table, mask_deg;\nmask_num := subs(t=2,mask);\n#print(%);\ns_entr y := poly2bin(s, 4);\n\nmask_table := array(1..16);\nmask_deg := array (1..15,[1,1,2,1,5,2,3,1,9,10,11,2,13,3,4]);\n\nmask_table[1] := s_entr y[1];\nmask_table[2] := s_entry[2]*t;\nmask_table[3] := s_entry[1]+s_e ntry[2]*t;\nmask_table[4] := s_entry[3]*t^2;\nmask_table[5] := 0;\nmas k_table[6] := s_entry[2]*t+s_entry[3]*t^2;\nmask_table[7] := s_entry[1 ]+s_entry[2]*t+s_entry[3]*t^2;\nmask_table[8] := s_entry[4]*t^3;\nmask _table[9] := 0;\nmask_table[10] := 0;\nmask_table[11] := 0;\nmask_tabl e[12] := s_entry[3]*t^2+s_entry[4]*t^3;\nmask_table[13] := 0;\nmask_ta ble[14] := s_entry[2]*t+s_entry[3]*t^2+s_entry[4]*t^3;\nmask_table[15] := s_entry[1]+s_entry[2]*t+s_entry[3]*t^2+s_entry[4]*t^3;\n\nreturn ( mask_table[mask_num],mask_deg[mask_num]);\nend;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%.sel_Hash_bitsGf*6$%\"sG%%maskG6'%\"iG%)mask_numG%(s_ entryG%+mask_tableG%)mask_degG6\"F/C6>8%-%%subsG6$/%\"tG\"\"#9%>8&-%)p oly2binG6$9$\"\"%>8'-%&arrayG6#;\"\"\"\"#;>8(-FD6$;FG\"#:71FGFGF8FG\" \"&F8\"\"$FG\"\"*\"#5\"#6F8\"#8FQF@>&FB6#FG&F;FX>&FB6#F8*&&F;FfnFGF7FG >&FB6#FQ,&FYFGFgnFG>&FB6#F@*&&F;F[oFG)F7F8FG>&FB6#FP\"\"!>&FB6#\"\"',& FgnFGF`oFG>&FB6#\"\"(,(FYFGFgnFGF`oFG>&FB6#\"\")*&&F;F_oFG)F7FQFG>&FB6 #FRFfo>&FB6#FSFfo>&FB6#FTFfo>&FB6#\"#7,&F`oFGFepFG>&FB6#FUFfo>&FB6#\"# 9,(FgnFGF`oFGFepFG>&FB6#FN,*FYFGFgnFGF`oFGFepFGO6$&FB6#F2&FJFerF/F/F/ " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1559 "##################### ############# \n# Hash generation : generates the final hash value use s final s_prism and p_prism \n################################# \n\nHa sh_gen := proc(s_prism, p_prism, hash_len) \n#Hash_gen := proc(hash_le n) \nlocal mask, c_coef, str,num_str,gb,wt,i,j,k,sum,sum_b; \n\nc_coef := setzero(); ###### set zero here ####### \nmask := array(1..4,[0,0 ,0,0]);\n\nnum_str := hash_len/32; print(%);\n\n# fill the diagonal fo r minimum 128bit hash\nfor i from 1 to 4 do \n mask[i] := 2^(i-1) ;\nod;\n\nstr := 4;\nfor i from 2 to 4 do \n # fill the upper diagon als\n for j from i to 4 do \n mask[j-i+1] := mask[j-i+1] + 2^(j -1); \n str := str+1; \n #print(num_str,str,i,j,mask);\n \+ if (str = num_str) then break;fi; \n od;\n if (str = num_str) th en break;fi;\n # fill the lower diagonals \n for j from i to 4 do \+ \n mask[j] := mask[j] + 2^(j-i); \n str := str+1; \n #p rint(num_str,str,i,j,mask);\n if (str = num_str) then #print(\"he re\");\n break;fi; \n od;\nif (str = num_str) then break;fi;\no d;\n\nfor i from 1 to 4 do \n mask[i] := num2poly(mask[i]); \nod; \n\n#break;\n\nsum := 0; sum_b := 0; \nfor i to N do \n for j to N do \n for k to Ni do\n gb := sel_Hash_bits(s_prism[i,j,k],mas k[p_prism[i,j,k] mod 4+1])[1];\n wt := sel_Hash_bits(s_prism[i, j,k],mask[p_prism[i,j,k] mod 4+1])[2];print(%%,%);\n sum := sum + (2^sum_b)*subs(t=2,gb);\n sum_b:= sum_b+wt; \n #sum \+ := sum + (2^wt)^((i-1)*Ni*N + (j-1)*Ni + k-1)*subs(t=2,gb); \n od; \n od; \nod;\nprint(\"sum_b\",sum_b); \nreturn(sum); \nend;" }} {PARA 12 "" 1 "" {XPPMATH 20 "6#>%)Hash_genGf*6%%(s_prismG%(p_prismG%) hash_lenG6-%%maskG%'c_coefG%$strG%(num_strG%#gbG%#wtG%\"iG%\"jG%\"kG%$ sumG%&sum_bG6\"F6C/>8%-%(setzeroGF6>8$-%&arrayG6$;\"\"\"\"\"%7&\"\"!FE FEFE>8',$*&#FB\"#KFB9&FBFB-%&printG6#%\"%G?(8*FBFBFC%%trueG>&F=6#FR)\" \"#,&FRFBFB!\"\">8&FC?(FRFXFBFCFSC&?(8+FRFBFCFSC%>&F=6#,(FjnFBFRFZFBFB ,&F]oFB)FX,&FjnFBFBFZFB>Ffn,&FfnFBFBFB@$/FfnFG[@$FfoFgo?(FjnFRFBFCFSC% >&F=6#Fjn,&F\\pFB)FX,&FjnFBFRFZFB>FfnFdo@$FfoFgo@$FfoFgo?(FRFBFBFCFS>F U-%)num2polyG6#FU>8-FE>8.FE?(FRFBFB%\"NGFS?(FjnFBFBF^qFS?(8,FBFB%#NiGF SC'>8(&-%.sel_Hash_bitsG6$&9$6%FRFjnFaq&F=6#,&-%$modG6$&9%F\\rFCFBFBFB 6#FB>8)&Fgq6#FX-FN6$%#%%GFP>Fjp,&FjpFB*&)FXF\\qFB-%%subsG6$/%\"tGFXFeq FBFB>F\\q,&F\\qFBFgrFB-FN6$Q&sum_bF6F\\qOFjpF6F6F6" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 3792 "################################## \n# s_ hash : Specral Hash Funtion \n################################# \n\ns _hash := proc(message, hash_len) \nlocal i, j, k, temp, temp1, mLen, e xt_mVec, ext_mLen, hash, num_chnk, s_prism, sprime_prism, p_prism, p_p rism_L, p_prism_H, nlst_op1, nlst_op2, nlst_op3, h; \n#h0, h1, h2, h3, h4, mLen, ext_mVec, ext_mLen, hash, temp, temp1, num_chnk, a,b,c,d,e, f,i,j,k,w,rperm,X_i,cc; \n\np_prism := Array(1..N, 1..N, 1..Ni); \n\n \n#Initialize variables: \nh := Array(1..N,1..N,1..Ni); \nhash := 0; \+ \n\n## Pre-processing: \n# - append the bit '1' to the message \n# - a ppend k bits '0', where k is the minimum number OF 0 such that the res ulting message \n# length (in bits) is congruent to 448 (mod 512) \+ \n# - append length of message (before pre-processing), in bits, as 64 -bit big-endian integer \n\nmLen := floor(log[2.](message))+1; \n#prin t(%); \next_mLen := mLen + (512 - irem(mLen,512)); \n#print(\"xlen\", \+ ext_mLen, mLen); \n\n# convert(message, decimal, hex) \next_mVec := nu m2vec(message, ext_mLen); \next_mVec[mLen+1] := 1;# set to 1 \n#print( ext_mVec); \n\ntemp := num2vec(mLen, 64); \nfor i to 64 do \n ex t_mVec[ext_mLen-64+i] := temp[i]; \nod; \n#print(ext_mVec); \n\n\n# Pr ocess the message in successive 512-bit chunks: \nnum_chnk := iquo(ext _mLen, 512); \n#print(%); \n\n\n#w := setzero(80); \n\nfor i to num_ch nk do \n\n # map the chunk into the prism \n\n for j to 512 do \n temp1[j] := ext_mVec[(i-1)*512 + j] ; \n od; \n #vec2num(temp1,512); \n\n s_pri sm := map_prism(vec2num(temp1,512)); \n #printsPrism(s_prism, \"mapped s_prism =\"); \n\n p_prism := perm_initial(s_prism) ; \n #printPrism(p_prism,\"p_prism after initial permutation= \"); \n\n s_prism := xinv_func(s_prism); \n #prints Prism(s_prism,\"xInverted s_prism =\"); \n\n s_prism := affin e_trans(s_prism); \n printPrisms(s_prism, p_prism,\"affine tr ansformed s_prism and p_prism after initialization= \"); \n\n \+ (sprime_prism, p_prism, p_prism_H, p_prism_L) := dim3_fft(s_prism, p_ prism); \n #printf(\"\\n\"); \n #print(\"the message after transformed to the fourier domain\"); \n #printf(\"\\n \"); \n #print(X_i,rperm,rperm_poly_H,rperm_poly_L); \n\n\n \+ # test dft \n #s_coef := dim3_fft_inv(X_i,F_inv_matri x); \n #printf(\"\\n\"); \n #print(\"the message aft er transformed to the time domain\"); \n #print(s_coef); \n\n \n # non-linear system transform\n s_prism := xinv_f unc(prism_add(sprime_prism, p_prism_L)); \n printsPrism(s_pri sm,\"(s_prism' + Pl)^(-1) =\"); \n\n nlst_op1 := PermS(sprime _prism,p_prism); \n #printsPrism(nlst_op1,\"out of PermS =\") ; \n\n nlst_op2 := xinv_func(prism_add(nlst_op1, p_prism_H)); \n printsPrism(nlst_op2,\"(s_prism'_\{p_prism\} + Ph)^(-1) = \"); \n\n #nlst_op3 := xinv_func(nlst_op2); \n #prin tsPrism(nlst_op3,\"out of xinv =\"); \n\n s_prism := prism_ad d(s_prism, nlst_op2); \n #printsPrism(s_prism,\"s_ prism before adding the previous hash h =\"); \n\n h := prism _add(s_prism, h); \n #printsPrism(h,\"s_prism after nonlinear system transform =\"); \n\n p_prism := Rubic_rot(p_prism); \+ \n #printPrism(p_prism,\"p_prism after Rubic transform= \"); \+ \n printPrisms(h, p_prism,\"s_prism after nonlinear system tr ansform and p_prism after Rubic transform = \"); \n\n # Add t his chunk's hash to result so far: \n #hash := map_num(h) + h ash mod (2^512 + 1); #print(\"3\",hash);\n\n hash := Hash_gen (h,p_prism,hash_len);\nod; \n\n\n # Produce the final hash va lue (big-endian): \n # hash := (h0, h1, h2, h3, h4); \n \+ print(\"hash\", hash); \n \n return hash; \nend;" }} {PARA 12 "" 1 "" {XPPMATH 20 "6#>%'s_hashGf*6$%(messageG%)hash_lenG65% \"iG%\"jG%\"kG%%tempG%&temp1G%%mLenG%)ext_mVecG%)ext_mLenG%%hashG%)num _chnkG%(s_prismG%-sprime_prismG%(p_prismG%*p_prism_LG%*p_prism_HG%)nls t_op1G%)nlst_op2G%)nlst_op3G%\"hG6\"F=C/>80-%&ArrayG6%;\"\"\"%\"NGFD;F E%#NiG>86FA>8,\"\"!>8),&-%&floorG6#-&%$logG6#$\"\"#FM6#9$FEFEFE>8+,(FO FE\"$7&FE-%%iremG6$FOFin!\"\">8*-%(num2vecG6$FenFgn>&F_o6#,&FOFEFEFEFE >8'-Fao6$FO\"#k?(8$FEFEF[p%%trueG>&F_o6#,(FgnFEF[pF]oF]pFE&Fho6#F]p>8- -%%iquoG6$FgnFin?(F]pFEFEFfpF^pC3?(8%FEFEFinF^p>&8(6#F]q&F_o6#,(*&FinF EF]pFEFEFinF]oF]qFE>8.-%*map_prismG6#-%(vec2numG6$F`qFin>F@-%-perm_ini tialG6#Fgq>Fgq-%*xinv_funcGFar>Fgq-%-affine_transGFar-%,printPrismsG6% FgqF@Qhnaffine~transformed~s_prism~and~p_prism~after~initialization=~F =>6&8/F@8281-%)dim3_fftG6$FgqF@>Fgq-Fdr6#-%*prism_addG6$F^sF`s-%,print sPrismG6$FgqQ7(s_prism'~+~Pl)^(-1)~=F=>83-%&PermSG6$F^sF@>84-Fdr6#-Fhs 6$F_tF_s-F[t6$FdtQA(s_prism'_|frp_prism|hr~+~Ph)^(-1)~=F=>Fgq-Fhs6$Fgq Fdt>FJ-Fhs6$FgqFJ>F@-%*Rubic_rotG6#F@-Fir6%FJF@Qhos_prism~after~nonlin ear~system~transform~and~p_prism~after~Rubic~transform~=~F=>FL-%)Hash_ genG6%FJF@9%-%&printG6$Q%hashF=FLOFLF=F=F=" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 1824 "# shash parameters \n##################### \nprin tlevel :=0;\nPRINT_LEVEL2 :=0 ;\nPRINT := 0; \nN := 4; \nNi := 8; \n\n Modulus := 2^4+1; \ndefPoly := num2poly(2^5-1); \nFactor(%) mod 2; \n \n#subs(t=2,defPoly); \nunity := 4; # l'th the root of unity \nunit y1 := 2; # l'th the root of unity \nL_INV := 1;#N^(-1) mod Modulus; \nBase := 2^4; \n\nF_matrix := setone(N); \nF_inv_matrix := setone( N); \n\nfor i from 2 to N do \n for j to N do \n F_matrix[i,j] := (unity)^((i-1)*(j-1)) mod Modulus; \n F_inv_matrix[N-i+2,j] := F_ matrix[i,j]; \n od; \nod; \n#print(F_matrix); \n#print(F_inv_matr ix); \n\nif (PRINT = 1) then\n printf(\"\\nF_Matrix[4][4] = \{\"); \+ \n for i from 1 to N do \n printf(\"\{\"); \n for j t o N do \n printf(\"%2d,\", F_matrix[i,j]); \n \+ od; \n printf(\"\},\"); \n od; \n printf(\"\}\\n\"); \n \n printf(\"\\nF_Inv_Matrix[4][4] = \{\"); \n for i from 1 to N do \n printf(\"\{\"); \n for j to N do \n \+ printf(\"%2d,\", F_inv_matrix[i,j]); \n od; \n pri ntf(\"\},\"); \n od; \n printf(\"\}\\n\"); \nfi;\n\nFi_matrix := s etone(Ni); \nFi_inv_matrix := setone(Ni); \n\nfor i from 2 to Ni do \n for j to Ni do \n Fi_matrix[i,j] := (unity1)^((i-1)*(j-1)) mod M odulus; \n Fi_inv_matrix[Ni-i+2,j] := Fi_matrix[i,j]; \n od; \+ \nod; \n#print(Fi_matrix); \n#print(Fi_inv_matrix); \n\nif (PRINT = 1) then\n printf(\"\\nFi_Matrix[8][8] = \{\"); \n for i from 1 to Ni do \n printf(\"\{\"); \n for j to Ni do \n \+ printf(\"%2d,\", Fi_matrix[i,j]); \n od; \n pr intf(\"\},\"); \n od; \n printf(\"\}\\n\"); \n\n printf(\"\\nFi_ Inv_Matrix[8][8] = \{\"); \n for i from 1 to Ni do \n printf( \"\{\"); \n for j to Ni do \n printf(\"%2 d,\", Fi_inv_matrix[i,j]); \n od; \n printf(\"\},\"); \+ \n od; \n printf(\"\}\\n\");\nfi;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%+printlevelG\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%-PRINT_LEV EL2G\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&PRINTG\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"NG\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#NiG\"\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%(ModulusG\"#<" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%(defPolyG,,\"\"\"F&%\"tGF&*$)F'\"\"# F&F&*$)F'\"\"$F&F&*$)F'\"\"%F&F&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,, \"\"\"F$%\"tGF$*$)F%\"\"#F$F$*$)F%\"\"$F$F$*$)F%\"\"%F$F$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&unityG\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'unity1G\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&L_INVG\"\"\" " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%BaseG\"#;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%)F_matrixG-%'RTABLEG6%\")#\\W]\"-%'MATRIXG6#7&7&\"\" \"F.F.F.F-F-F-%&ArrayG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%-F_inv_mat rixG-%'RTABLEG6%\")O)[]\"-%'MATRIXG6#7&7&\"\"\"F.F.F.F-F-F-%&ArrayG" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#>%*Fi_matrixG-%'RTABLEG6%\")/#=H\"-%' MATRIXG6#7*7*\"\"\"F.F.F.F.F.F.F.F-F-F-F-F-F-F-%&ArrayG" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%.Fi_inv_matrixG-%'RTABLEG6%\"(/*>J-%'MATRIXG6# 7*7*\"\"\"F.F.F.F.F.F.F.F-F-F-F-F-F-F-%&ArrayG" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 93 "message := ((2^15+1)*(3^23-1)+1)^23;\nhash_len := 384; #a multiple of 32 between 128 and 512 \n" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%(messageG\"`alv=n8S'ocv*>\"fA\")=K\\tL1o&fW%)hash_lenG\"$%Q" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 195 "Cal culated_Hash:= s_hash(message,hash_len); \n\n#if Expected_Hash <> Calc ulated_Hash then \n# print (\"!!!!!! Error In Calculation!!!!!\" ); \n#else \n# print (\"Everything is Ok \"); \n#end if;" }} {PARA 6 "" 1 "" {TEXT -1 0 "" }}{PARA 6 "" 1 "" {TEXT -1 25 "map s_pri sm and p_prism= " }}{PARA 6 "" 1 "" {TEXT -1 46 "|------------------| \+ |------------------|" }}{PARA 6 "" 1 "" {TEXT -1 46 "||---------- ------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| \+ 6, 1, 15, 1,|| || 8, 40, 72,104,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 7, 3, 8,|| || 7, 39, 71,103,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 8, 6, 15, 12,|| || 6, 38, 70,102,||" }} {PARA 6 "" 1 "" {TEXT -1 46 "|| 9, 9, 4, 7,|| || 5, 37, 69,1 01,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 3, 1, 3, 15,|| || 4, 36, 68,100,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 0, 3, 2,|| \+ || 3, 35, 67, 99,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12, 0, 11, 14,|| || 2, 34, 66, 98,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 3 , 8, 15, 1,|| || 1, 33, 65, 97,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 9, 0, 7, 0,|| || 16, 48, 80,112,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 5, 8, 7, 0,|| || 15, 47, 79,111,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 15, 13, 1, 11,|| || 14, 46, \+ 78,110,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 2, 3, 14, 6,|| || 13, 45, 77,109,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 4, 13, 9, 3,| | || 12, 44, 76,108,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 9, 12, 5, 4,|| || 11, 43, 75,107,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 12, 6, 0, 5,|| || 10, 42, 74,106,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 15, 0, 4, 14,|| || 9, 41, 73,105,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||----------------|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12, 7, 3, 10,|| || 24, 56, \+ 88,120,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 5, 14, 2, 14,|| || 23, 55, 87,119,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 8, 6, 13,| | || 22, 54, 86,118,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 8, 13, 12, 15,|| || 21, 53, 85,117,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 6, 15, 13, 12,|| || 20, 52, 84,116,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 4, 5, 6, 5,|| || 19, 51, 83,115,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12, 4, 3, 1,|| || 18, 50, 82,114,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 14, 14, 8, 10,|| || 17, 49, \+ 81,113,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| || ----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 10, 8, 8,| | || 32, 64, 96,128,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 14, 7, 2, 6,|| || 31, 63, 95,127,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 5, 5, 12, 4,|| || 30, 62, 94,126,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12, 15, 1, 12,|| || 29, 61, 93,125,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 5, 9, 8, 8,|| || 28, 60, 92,124,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 14, 9, 8, 14,|| || 27, 59, \+ 91,123,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 15, 11, 14, 7,|| || 26, 58, 90,122,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 13, 15, 7,| | || 25, 57, 89,121,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||-------- --------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| ------------------| |------------------|" }}{PARA 6 "" 1 "" {TEXT -1 0 "" }}{PARA 6 "" 1 "" {TEXT -1 61 "affine transformed s_pris m and p_prism after initialization= " }}{PARA 6 "" 1 "" {TEXT -1 46 "| ------------------| |------------------|" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 0, 9, 0,|| || 8, 64,128, 40,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 11, 2, 10,|| || 79, 7, \+ 55, 23,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 10, 13, 9, 6,|| || 22, 38, 14, 94,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 3, 3, 12, 11,| | || 53, 77, 69,109,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 2, 0, 2, 9,|| ||100, 36, 4,108,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 1, 7, 2, 8,|| || 35, 59, 67, 99,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 6, 7, 15, 5,|| || 42, 66, 58, 90,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 2, 10, 9, 0,|| || 41, 1, 9, 89,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||--------- -------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 3, 7, 11, 7,|| || 56, 80, 16, 48,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 4, 10, 11, 7,| | || 47, 15,127,111,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 9, 1, 0, 15,|| || 70, 30, 86,118,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 8, 2, 5, 13,|| || 13,101, 45, 93,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12, 1, 3, 2,|| || 12, 60, 28, 52,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 3, 6, 4, 12,|| ||107,115, 83, 19,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 6, 13, 7, 4,|| || 50,106, \+ 34, 18,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 9, 7, 12, 5,|| || 73, 97,121, 49,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------| | ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 6, 11, 2, 14,|| || 72,112, 24,104,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 4, 5, 8, 5,|| || 71, 31,103, 87,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 10, 13, 1,|| || 54,110, 78, 62,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 10, 1, 6, 9,|| || 21, 61, 29, 37,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 9, 1, 6,|| || 68, 20,1 24, 44,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12, 4, 13, 4,|| || 27, 3, 11, 75,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 6, 12, 2, 0,| | || 10, 2, 98, 26,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 5, 5, 10, 14,|| || 81, 17,113, 33,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| |----------------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 15, 14, 10, 10,|| ||120, 88, 32, 96,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 5, 11, 8, 13,|| || 95, 39,119, 63,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 4, 4, 6, 12,|| ||102, 6, \+ 46,126,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 6, 9, 0, 6,|| || 117,125, 5, 85,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 4, 3, 10, 10,| | ||116, 84, 76, 92,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 5, 3, 10, 5,|| || 43, 91,123, 51,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 9, 15, 5, 11,|| ||122,114, 82, 74,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 1, 9, 11,|| ||105, 57, 25, 65,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||----------------|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|------------------| |---------- --------|" }}{PARA 6 "" 1 "" {TEXT -1 0 "" }}{PARA 6 "" 1 "" {TEXT -1 88 "s_prism after first DFT iteration through k-axis and p_prism after 1st and 2nd swappings" }}{PARA 6 "" 1 "" {TEXT -1 46 "|-------------- ----| |------------------|" }}{PARA 6 "" 1 "" {TEXT -1 46 "||---- ------------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 14, 11, 13, 12,|| ||100, 66, 9, 40,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 2, 9, 6, 8,|| || 35, 38,128, 94,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12, 7, 5, 1,|| || 79, 1, 69, 89,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12, 10, 11, 11,|| || 8, 64, \+ 67, 90,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 16, 4, 6, 9,|| || 42, 36, 14,109,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 0, 14, 8, 10,| | || 41, 7, 58, 23,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 0, 1, 12, 12,|| || 22, 59, 4,108,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 11, 7, 11, 5,|| || 53, 77, 55, 99,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 10, 13, 2, 6,|| || 47, 60, 45,111,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 4, 9, 2,|| || 13,106, \+ 16, 48,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 15, 14, 7, 12,|| || 56, 15, 86, 52,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 16, 6, 11,| | || 70, 80, 83, 93,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 1, 4, 7, 10,|| ||107, 97,127, 49,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 16, 15, 7, 1,|| || 50,115, 28,118,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 10, 14, 15, 9,|| || 12,101,121, 18,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 10, 9, 6,|| || 73, 30, 34, 19,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||--------- -------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 2, 11, 8, 3,|| || 72, 3, 78, 87,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 4, 6, 10, 0,| | || 10,110,103, 33,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 5, 10, 16, 16,|| || 71,112, 29, 75,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 15, 5, 3, 12,|| || 54, 17, 24, 44,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 14, 1, 10, 10,|| || 81, 31,124, 37,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 16, 13, 1, 3,|| || 68, 20,113,104,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 16, 15, 6, 10,|| || 21, 2, \+ 11, 62,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 2, 13, 9, 7,|| || 27, 61, 98, 26,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------| | ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 16, 11, 2,|| ||102, 39, 46,126,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 3, 1, 2, 2,|| || 43, 6, 5, 63,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 15, 10, 10, 14,|| ||117,114, 82, 85,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 3, 3, 4, 12,|| ||120,125,123, 92,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 3, 13, 12, 14,|| ||116, 57,1 19, 96,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 9, 12, 13, 10,|| || 122, 88, 32, 74,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 16, 3, 14,| | || 95, 84, 76, 51,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12, 5, 0, 3,|| ||105, 91, 25, 65,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| |----------------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|------------------| |------------------|" }}{PARA 6 "" 1 "" {TEXT -1 0 "" }}{PARA 6 "" 1 "" {TEXT -1 82 "s_prism after s econd DFT iteration through j-axis and p_prism after third swapping" } }{PARA 6 "" 1 "" {TEXT -1 46 "|------------------| |------------- -----|" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||--- -------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 5, 0, 0, 6,|| \+ ||102, 3, 45,126,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 5, 3, 10 , 12,|| || 35, 38,128, 63,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 1 3, 7, 4, 9,|| || 79, 15, 29, 52,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 0, 7, 12,|| || 8,125, 24, 93,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 0, 5, 1, 9,|| || 81, 36,124, 49,||" }} {PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 3, 12, 7,|| || 68,115, 28, \+ 23,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 5, 12, 2, 11,|| || 22, 101, 4, 62,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 4, 1, 12, 4,|| \+ ||105, 61, 25, 99,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||------------ ----|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 0 , 5, 3, 8,|| || 47, 66, 46,111,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 4, 15, 7, 8,|| || 13,110, 16, 33,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 13, 11, 11,|| || 71, 1, 69, 85,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12, 6, 16, 12,|| || 70, 17, 67, 90,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 1, 10, 0,|| || 42, 97,1 19, 96,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12, 13, 0, 5,|| || 41, 88, 32,118,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 6, 12, 3, 16,| | || 12, 59, 11, 51,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 14, 4, 10,|| || 73, 77, 34, 26,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| |----------------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 10, 10, 8, 7,|| || 72, 39, 78, 40,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 10, 5, 4,|| || 43, 6,103, 48,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 4, 10, 4, 8,|| ||117,114, \+ 82, 89,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 13, 4, 0,|| || 54, 80,123, 44,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 9, 5, 14, 12,| | ||116, 31,127,109,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 8, 0, 6, 2,|| ||122, 20,113, 74,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 10, 3, 0, 16,|| || 95, 2,121,108,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 5, 5, 11, 3,|| || 27, 91, 55, 19,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||----------------|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 12, 7, 10,|| ||100, 60, \+ 9, 87,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 9, 8, 2, 8,|| || 10,106, 5, 94,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 15, 1, 10,| | || 56,112, 86, 75,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 16, 4, 0, 3,|| ||120, 64, 83, 92,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 10, 5, 16, 15,|| ||107, 57, 14, 37,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 6, 14, 9,|| || 50, 7, 58,104,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 11, 9, 5,|| || 21, 84, 76, 18,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 5, 8, 0, 3,|| || 53, 30, \+ 98, 65,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| || ----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|------------------ | |------------------|" }}{PARA 6 "" 1 "" {TEXT -1 0 "" }}{PARA 6 "" 1 "" {TEXT -1 77 "s_prism after 3rd DFT iteration through i-axis \+ and p_prism after 4th swapping" }}{PARA 6 "" 1 "" {TEXT -1 46 "|------ ------------| |------------------|" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 15, 16, 12,|| || 3,102, 45,126,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 10, 0, 14,|| || 38, 63,128, 35,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 16, 1, 1, 0,|| || 29, 79, \+ 52, 15,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 9, 3, 2, 14,|| || 24, 93,125, 8,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 15, 0, 4, 15,| | ||124, 81, 36, 49,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12, 13, 9, 11,|| ||115, 23, 68, 28,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 13, 7, 1, 16,|| || 62,101, 4, 22,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 4, 14, 11, 4,|| || 61, 99,105, 25,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||----------------|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 16, 2, 7, 9,|| || 47, 46,1 11, 66,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 0, 8, 5, 3,|| || 110, 33, 13, 16,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 8, 4, 11, 5,| | || 69, 85, 71, 1,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12, 6, 10, 3,|| || 70, 67, 90, 17,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 5, 5, 3, 14,|| || 42,119, 96, 97,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 10, 11, 14,|| || 88, 41, 32,118,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 3, 4, 15, 2,|| || 59, 51, 11, 12,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 8, 10, 10,|| || 34, 73, \+ 77, 26,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| || ----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 1, 14, 1, 7,| | || 40, 39, 78, 72,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 9, 9, 15, 12,|| || 48,103, 6, 43,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 9, 8, 7, 9,|| ||117,114, 82, 89,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 10, 4, 8,|| || 44, 80, 54,123,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 6, 1, 6, 6,|| ||127,116, 31,109,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 16, 11, 12, 10,|| ||113,122, \+ 74, 20,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12, 9, 8, 11,|| || 121, 95,108, 2,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 2, 8, 3,| | || 91, 19, 55, 27,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||-------- --------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 2, 8, 9, 9,|| || 60,100, 87, 9,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 10, 7, 12, 7,|| || 5, 10,106, 94,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 16, 9, 0, 3,|| || 86, 56, 75,112,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 6, 3, 9, 12,|| || 92, 83,1 20, 64,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12, 5, 6, 0,|| || 107, 14, 57, 37,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 2, 15, 6, 5,| | ||104, 58, 7, 50,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 4, 11, 6, 14,|| || 76, 21, 18, 84,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 16, 8, 11, 2,|| || 98, 65, 53, 30,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|------------------| |------------------| " }}{PARA 6 "" 1 "" {TEXT -1 0 "" }}{PARA 6 "" 1 "" {TEXT -1 22 "(s_pr ism' + Pl)^(-1) =" }}{PARA 6 "" 1 "" {TEXT -1 20 "|------------------| " }}{PARA 6 "" 1 "" {TEXT -1 20 "||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 4, 7, 15, 15,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "| | 14, 6, 0, 12,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 15, 11, 6, 2, ||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 1, 11, 2, 5,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 10, 1, 0, 11,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 2, 3, 12, 9,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 10, 15, 6, \+ 7,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 7, 12, 15, 12,||" }}{PARA 6 " " 1 "" {TEXT -1 20 "||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 0, 13, 4, 14,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 11, 7, 4 , 10,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 12, 1, 13, 8,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 3, 6, 0, 15,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 2, 15, 10, 2,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 6, 10, 14, 4,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 4, 9, 8, 11,||" }} {PARA 6 "" 1 "" {TEXT -1 20 "|| 6, 1, 9, 0,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| \+ 7, 7, 2, 2,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 7, 11, 7, 9,|| " }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 13, 3, 6, 0,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 1, 3, 15, 10,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "| | 7, 6, 7, 14,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 11, 1, 5, 11, ||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 6, 5, 8, 7,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 13, 1, 2, 4,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 11, 13, 11, \+ 0,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 2, 12, 5, 7,||" }}{PARA 6 " " 1 "" {TEXT -1 20 "|| 7, 1, 14, 10,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 3, 0, 1, 13,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 9, 14, 2 , 6,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 3, 6, 1, 9,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 4, 11, 8, 3,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 12, 7, 11, 13,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "||-------- --------||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|------------------|" }} {PARA 6 "" 1 "" {TEXT -1 0 "" }}{PARA 6 "" 1 "" {TEXT -1 32 "(s_prism' _\{p_prism\} + Ph)^(-1) =" }}{PARA 6 "" 1 "" {TEXT -1 20 "|----------- -------|" }}{PARA 6 "" 1 "" {TEXT -1 20 "||----------------||" }} {PARA 6 "" 1 "" {TEXT -1 20 "|| 13, 10, 7, 8,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 5, 8, 1, 2,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| \+ 2, 4, 10, 3,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 11, 13, 14, 2,|| " }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 1, 11, 15, 12,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 13, 1, 0, 9,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "| | 3, 6, 2, 1,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 0, 12, 6, 5, ||" }}{PARA 6 "" 1 "" {TEXT -1 20 "||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 12, 14, 1, 6,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 6, 13, 5, 10,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 11, 2, 1, \+ 8,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 2, 12, 12, 6,||" }}{PARA 6 " " 1 "" {TEXT -1 20 "|| 14, 8, 2, 15,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 15, 0, 0, 15,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 4, 11, 2 , 5,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 6, 13, 12, 12,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 4, 15, 13, 14,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 10, 12, 0, 1,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 13, 0, 13, 6,||" }} {PARA 6 "" 1 "" {TEXT -1 20 "|| 14, 8, 2, 6,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 4, 0, 10, 15,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 1 0, 8, 8, 5,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 13, 1, 4, 6,|| " }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 1, 6, 10, 5,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 20 "| | 3, 1, 4, 2,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 8, 8, 6, 12, ||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 11, 7, 0, 5,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 14, 8, 5, 8,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 8, 9, 7, 13,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 9, 15, 4, 1 3,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 3, 6, 8, 7,||" }}{PARA 6 " " 1 "" {TEXT -1 20 "|| 7, 9, 12, 5,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|------------ ------|" }}{PARA 6 "" 1 "" {TEXT -1 0 "" }}{PARA 6 "" 1 "" {TEXT -1 77 "s_prism after nonlinear system transform and p_prism after Rubic t ransform = " }}{PARA 6 "" 1 "" {TEXT -1 46 "|------------------| \+ |------------------|" }}{PARA 6 "" 1 "" {TEXT -1 46 "||--------------- -|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 9, 1 3, 8, 7,|| || 3,102, 45,126,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 14, 1, 14,|| || 5, 48,110, 38,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 15, 12, 1,|| || 29, 69,117, 86,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 10, 6, 12, 7,|| || 8, 17,123, 64,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 10, 15, 7,|| ||124, 81, \+ 36, 49,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 15, 2, 12, 0,|| || 104,113, 88,115,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 9, 9, 4, 6,| | || 62, 59,121, 76,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 0, 9, 9,|| || 25, 26, 27, 30,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| |----------------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12, 3, 5, 8,|| || 47, 46,111, 66,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 10, 1, 0,|| || 10,103, 33, 63,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 3, 12, 0,|| || 79, 85,1 14, 56,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 1, 10, 12, 9,|| || 125, 90, 54,120,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12, 7, 8, 13,| | || 42,119, 96, 97,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 9, 10, 14, 11,|| || 58,122, 41, 23,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 0, 2, 10, 14,|| ||101, 51, 95, 21,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 0, 12, 5, 12,|| ||105, 77, 55, 53,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||----------------|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 3, 8, 15, 12,|| || 40, 39, \+ 78, 72,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 7, 7, 8,|| || 106, 6, 13,128,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 0, 3, 11, 6,| | || 52, 71, 82, 75,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 15, 11, 13, 12,|| || 93, 67, 80, 83,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 3, 6, 13, 1,|| ||127,116, 31,109,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 1, 9, 13, 14,|| || 7, 74, 32, 68,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 4, 12, 1,|| || 4, 11,108, 18,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12, 7, 8, 1,|| || 99, 73, \+ 19, 65,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| || ----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 8, 12, 15, 2,| | || 60,100, 87, 9,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 10, 4, 3, 11,|| || 94, 43, 16, 35,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 12, 6, 14, 15,|| || 15, 1, 89,112,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 8, 4, 5,|| || 24, 70, 44, 92,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 1, 7, 5, 11,|| ||107, 14, 57, 37,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 10, 9, 5, 4,|| || 50, 20,1 18, 28,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 13, 0, 4,|| || 22, 12, 2, 84,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 14, 7, 8,| | || 61, 34, 91, 98,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||-------- --------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| ------------------| |------------------|" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,(\"\"\"F$%\"tG F$*$)F%\"\"#F$F$\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$)%\"tG\"\"$ \"\"\"F&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,(\"\"\"F$%\"tGF$*$)F%\"\" #F$F$\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&\"\"\"F$%\"tGF$\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$%\"tG\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,(\"\"\"F$*$)%\"tG\"\"#F$F$*$)F'\"\"$F$F$\"\"%" }} {PARA 11 "" 1 "" {XPPMATH 20 "6$,(\"\"\"F$%\"tGF$*$)F%\"\"$F$F$\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$)%\"tG\"\"$\"\"\"\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"!\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6$\"\"!\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$)%\"tG\"\"$\"\"\"F& " }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&*$)%\"tG\"\"#\"\"\"F(*$)F&\"\"$F (F(F+" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"\"\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$)%\"tG\"\"#\"\"\"F&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&*$)%\"tG\"\"#\"\"\"F(*$)F&\"\"$F(F(F+" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&*$)%\"tG\"\"#\"\"\"F(*$)F&\"\"$F(F(F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&*$)%\"tG\"\"#\"\"\"F(*$)F&\"\"$F(F(F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&\"\"\"F$%\"tGF$\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"!\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"!\"\" #" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,*\"\"\"F$%\"tGF$*$)F%\"\"#F$F$*$ )F%\"\"$F$F$\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"!\"\"$" }} {PARA 11 "" 1 "" {XPPMATH 20 "6$,&*$)%\"tG\"\"#\"\"\"F(*$)F&\"\"$F(F(F +" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&\"\"\"F$%\"tGF$\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,(\"\"\"F$%\"tGF$*$)F%\"\"$F$F$\"\"%" }} {PARA 11 "" 1 "" {XPPMATH 20 "6$,&%\"tG\"\"\"*$)F$\"\"#F%F%\"\"$" }} {PARA 11 "" 1 "" {XPPMATH 20 "6$,&%\"tG\"\"\"*$)F$\"\"$F%F%F(" }} {PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"!\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&\"\"\"F$*$)%\"tG\"\"#F$F$\"\"$" }}{PARA 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"6$,(\"\"\"F$%\"tGF$*$)F%\"\"$F$F$\"\"%" }} {PARA 11 "" 1 "" {XPPMATH 20 "6$,&\"\"\"F$*$)%\"tG\"\"#F$F$\"\"$" }} {PARA 11 "" 1 "" {XPPMATH 20 "6$,(\"\"\"F$%\"tGF$*$)F%\"\"#F$F$\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$)%\"tG\"\"$\"\"\"\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$%\"tG\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6$Q&sum_b6\"\"$%Q" }}{PARA 6 "" 1 "" {TEXT -1 0 "" }}{PARA 6 "" 1 "" {TEXT -1 25 "map s_prism and p_prism= " }}{PARA 6 "" 1 "" {TEXT -1 46 "|------------------| |------------------|" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 0, 14, 1,|| || 8, 40, 72,104,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 1, 11, 7, 15,|| || 7, 39, \+ 71,103,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 4, 2, 10, 11,|| || 6, 38, 70,102,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 2, 4, 5, 12,| | || 5, 37, 69,101,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 2, 6, 0, 12,|| || 4, 36, 68,100,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 6, 0, 6, 0,|| || 3, 35, 67, 99,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 8, 10, 7, 1,|| || 2, 34, 66, 98,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 3, 9, 3, 0,|| || 1, 33, 65, 97,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||--------- -------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 1, 11, 15, 12,|| || 16, 48, 80,112,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 10, 10, 7, 13,| | || 15, 47, 79,111,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 1, 5, 9, 10,|| || 14, 46, 78,110,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 2, 7, 3, 8,|| || 13, 45, 77,109,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 3, 4, 15, 14,|| || 12, 44, 76,108,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 14, 0, 8, 3,|| || 11, 43, 75,107,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 14, 11, 10, 5,|| || 10, 42, \+ 74,106,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 1, 2, 14, 6,|| || 9, 41, 73,105,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------| | ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 0, 11, 13, 12,|| || 24, 56, 88,120,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 1, 2, 5, 6,|| || 23, 55, 87,119,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 9, 1, 3, 4,|| || 22, 54, 86,118,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 3, 6, 14,|| || 21, 53, 85,117,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 2, 12, 13,|| || 20, 52, \+ 84,116,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 6, 7, 13, 7,|| || 19, 51, 83,115,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 15, 5, 10, 8,| | || 18, 50, 82,114,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 3, 1, 0,|| || 17, 49, 81,113,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| |----------------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12, 3, 2, 5,|| || 32, 64, 96,128,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 14, 4, 7, 6,|| || 31, 63, 95,127,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 1, 13, 10, 11,|| || 30, 62, \+ 94,126,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 10, 3, 13, 8,|| || 29, 61, 93,125,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 4, 14, 2, 7,| | || 28, 60, 92,124,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 2, 4, 12, 6,|| || 27, 59, 91,123,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 5, 10, 10, 4,|| || 26, 58, 90,122,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 6, 2, 4, 6,|| || 25, 57, 89,121,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||----------------|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|------------------| |---------- --------|" }}{PARA 6 "" 1 "" {TEXT -1 0 "" }}{PARA 6 "" 1 "" {TEXT -1 61 "affine transformed s_prism and p_prism after initialization= " }} {PARA 6 "" 1 "" {TEXT -1 46 "|------------------| |-------------- ----|" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||---- ------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 7, 5, 0,|| \+ || 16, 64, 72, 24,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 0, 15, 11, 9,|| || 39,119,111,127,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12 , 8, 14, 15,|| || 14, 22, 86,118,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 8, 12, 4, 6,|| || 69, 5,109, 85,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 8, 13, 7, 6,|| || 52, 76, 20, 84,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 7, 13, 7,|| || 99, 75, 19, 51,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 10, 14, 11, 0,|| || 18, 98,1 06, 82,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 2, 3, 2, 7,|| || 113, 81, 9, 97,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------| | ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 0, 15, 9, 6,|| || 40, 80,128, 32,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 14, 14, 11, 1,|| || 63, 47,103, 87,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 0, 4, 3, 14,|| || 30, 46, 70, 94,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 8, 11, 2, 10,|| || 37, 13, 29,117,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 2, 12, 9, 5,|| || 44, 28,1 24, 36,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 5, 7, 10, 2,|| || 59, 35,123,115,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 5, 15, 14, 4,| | || 2, 66, 58, 50,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 0, 8, 5, 13,|| || 25, 65,121, 89,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| |----------------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 15, 1, 6,|| ||112, 48,104, 8,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 0, 8, 4, 13,|| || 7, 71, 15, 55,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 3, 0, 2, 12,|| || 54, 78,1 10,126,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 15, 2, 13, 5,|| || 125,101, 61, 53,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 1, 8, 6, 1,| | || 60, 4,100, 92,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 11, 1, 11,|| || 27,107, 91, 43,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 9, 4, 14, 10,|| || 26,114, 10,122,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 1, 2, 0, 7,|| || 57, 1, 49, 17,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||----------------|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 6, 2, 8, 4,|| || 56, 88, \+ 96,120,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 5, 12, 11, 13,|| || 95, 31, 79, 23,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 0, 1, 14, 15,| | || 6, 62,102, 38,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 14, 2, 1, 10,|| || 77, 93, 21, 45,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 12, 5, 8, 11,|| || 12,116,108, 68,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 8, 12, 6, 13,|| || 11, 83, 67, 3,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 4, 14, 14, 12,|| || 42, 34, 74, 90,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 8, 12, 13,|| || 73, 41, \+ 33,105,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| || ----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|------------------ | |------------------|" }}{PARA 6 "" 1 "" {TEXT -1 0 "" }}{PARA 6 "" 1 "" {TEXT -1 88 "s_prism after first DFT iteration through k-axi s and p_prism after 1st and 2nd swappings" }}{PARA 6 "" 1 "" {TEXT -1 46 "|------------------| |------------------|" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 7, 1, 1,|| || 52, 76, 86,118,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 15, 9, 7, 7,|| || 69, 64, \+ 19,127,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 4, 1, 10, 4,|| || 16, 5,109, 85,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 14, 0, 14, 8,| | || 18, 81,106, 24,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12, 11, 1, 8,|| || 14, 22,111, 97,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 14, 0, 5, 10,|| ||113, 98, 9, 51,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 2, 10, 13, 15,|| || 99, 75, 72, 82,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 16, 3, 16, 3,|| || 39,119, 20, 84,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||--------- -------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 4, 6, 5, 14,|| || 63, 80, 70, 89,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 0, 6, 9, 15,| | || 44, 46, 58,117,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 12, 13, 7,|| || 40, 65,103, 36,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 15, 5, 9, 6,|| || 2, 13,128, 94,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 5, 10, 13,|| || 30, 35,121,115,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 13, 15, 7,|| || 25, 47,124, 87,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12, 9, 9, 1,|| || 37, 28, \+ 29, 50,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12, 8, 4, 7,|| || 59, 66,123, 32,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------| | ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 12, 8, 0,|| || 27, 4, 91, 92,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 7, 7, 1, 11,|| || 7,107,100, 8,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 10, 8, 13, 6,|| || 26, 71,110,126,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 4, 1, 15, 7,|| ||125,114, 61, 17,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 6, 6, 1, 11,|| || 57, 48, \+ 10, 55,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 3, 9, 14, 15,|| || 54, 1, 49, 43,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 16, 12, 11,| | || 60,101,104,122,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 8, 4, 12,|| ||112, 78, 15, 53,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| |----------------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 10, 8, 13, 13,|| || 73, 62, 74,120,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 3, 11, 16, 13,|| || 42, 93, 33, 45,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 9, 5, 12, 4,|| || 77, 31,1 08, 68,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 5, 1, 13, 3,|| || 11, 88, 67, 3,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 3, 14, 14, 11,| | || 6, 83, 79, 38,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 15, 13, 4,|| || 12, 41, 96, 23,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 13, 5, 9, 7,|| || 95,116,102, 90,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 3, 5, 6, 15,|| || 56, 34, 21,105,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||----------------|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|------------------| |---------- --------|" }}{PARA 6 "" 1 "" {TEXT -1 0 "" }}{PARA 6 "" 1 "" {TEXT -1 82 "s_prism after second DFT iteration through j-axis and p_prism afte r third swapping" }}{PARA 6 "" 1 "" {TEXT -1 46 "|------------------| \+ |------------------|" }}{PARA 6 "" 1 "" {TEXT -1 46 "||---------- ------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| \+ 15, 16, 10, 11,|| || 63, 62, 91, 89,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 8, 16, 16, 12,|| || 7, 93, 19,117,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 0, 9, 14, 4,|| || 16, 65,108, 85,||" }} {PARA 6 "" 1 "" {TEXT -1 46 "|| 4, 7, 0, 7,|| || 18, 88, 67, \+ 24,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 2, 9, 9,|| || 57, 22, 79, 55,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 14, 3, 13, 2,|| \+ || 25, 47, 96, 23,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 4, 6, 9, 0,|| || 95,101,102, 90,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 4 , 7, 13, 3,|| || 56, 78, 15, 84,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 6, 4, 12, 5,|| || 52, 80, 86,120,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 16, 12, 4,|| || 69,107, 58, 45,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 2, 4, 1, 10,|| || 26, 31,1 10,126,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 16, 15, 0, 13,|| || 2, 13,128, 17,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 5, 3, 1, 5,| | || 6, 48,121, 97,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 0, 16, 7,|| || 12, 98,124, 87,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 4, 10, 1, 14,|| || 37,116,104,122,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 7, 4, 10,|| ||112, 34, 21, 32,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||----------------|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 4, 5, 8, 8,|| || 73, 76, \+ 74,118,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 2, 16, 0, 7,|| || 44, 64,100,127,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 9, 15, 16,| | || 40, 5,109, 68,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 15, 12, 7, 6,|| || 11, 81, 61, 3,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 8, 15, 12, 12,|| || 30, 35,111,115,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 3, 15, 8, 14,|| || 54, 1, 49, 43,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 5, 12, 7, 1,|| || 60, 75, 72, 82,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 8, 15, 10, 10,|| || 59,119,1 23, 53,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| || ----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 3, 3, 8, 14,| | || 27, 4, 70, 92,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 3, 5, 0, 5,|| || 42, 46, 33, 8,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 3, 16, 10, 3,|| || 77, 71,103, 36,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 4, 0, 15, 6,|| ||125,114,106, 94,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 7, 16, 6,|| || 14, 83, 10, 38,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 16, 0, 0,|| ||113, 41, \+ 9, 51,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12, 12, 1, 11,|| || 99, 28, 29, 50,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 0, 3, 6,| | || 39, 66, 20,105,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||-------- --------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| ------------------| |------------------|" }}{PARA 6 "" 1 "" {TEXT -1 0 "" }}{PARA 6 "" 1 "" {TEXT -1 77 "s_prism after 3rd DFT ite ration through i-axis and p_prism after 4th swapping" }}{PARA 6 "" 1 " " {TEXT -1 46 "|------------------| |------------------|" }} {PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||------------- ---||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 1, 8, 15, 2,|| || 62, 63, 91, 89,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 1, 8, 13, 10,|| \+ || 19, 7, 93,117,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 10, 6, 1, 0,|| || 85,108, 65, 16,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 1 , 4, 7, 4,|| || 88, 18, 24, 67,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 14, 8, 9, 13,|| || 22, 55, 57, 79,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 15, 5, 5, 14,|| || 47, 23, 25, 96,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 2, 2, 7, 5,|| ||101, 95,102, 90,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 10, 7, 7, 9,|| || 78, 56, \+ 15, 84,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| || ----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 10, 7, 9, 15,| | || 52, 80,120, 86,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 15, 5, 4,|| || 69, 58,107, 45,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 0, 11, 6, 8,|| ||126, 31, 26,110,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 10, 7, 5, 8,|| || 13, 2, 17,128,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 14, 13, 15, 12,|| || 97,121, 6, 48,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 0, 1, 3, 6,|| || 12,124, \+ 87, 98,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12, 4, 15, 2,|| || 116, 37,122,104,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 15, 12, 15, 2,| | ||112, 34, 21, 32,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||-------- --------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 8, 1, 16, 8,|| || 74, 73,118, 76,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 8, 4, 13, 0,|| ||100, 44, 64,127,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 0, 2, 1, 7,|| || 68,109, 5, 40,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 6, 15, 4, 1,|| || 3, 61, \+ 11, 81,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 8, 10, 1,|| || 115,111, 35, 30,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 6, 16, 16, 8,| | || 43, 1, 49, 54,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 8, 8, 16, 5,|| || 82, 75, 72, 60,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 9, 1, 10, 12,|| || 59,119,123, 53,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 2, 11, 5,|| || 92, 70, 4, 27,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 3, 10, 3,|| || 42, 46, \+ 8, 33,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 15, 11, 11, 9,|| || 36, 71,103, 77,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 8, 16, 13, 13,| | || 94,106,114,125,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 2, 12, 10, 4,|| || 38, 10, 83, 14,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 10, 7, 12, 15,|| ||113, 9, 51, 41,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 2, 15, 7, 7,|| || 28, 50, 29, 99,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 16, 14, 4, 11,|| ||105, 20, 39, 66,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||--------- -------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|------------------| |- -----------------|" }}{PARA 6 "" 1 "" {TEXT -1 0 "" }}{PARA 6 "" 1 "" {TEXT -1 22 "(s_prism' + Pl)^(-1) =" }}{PARA 6 "" 1 "" {TEXT -1 20 "|- -----------------|" }}{PARA 6 "" 1 "" {TEXT -1 20 "||----------------| |" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 2, 9, 8, 14,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 15, 2, 0, 2,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 2, 3, 0, 0,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 7, 5, 2, \+ 9,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 4, 2, 0, 15,||" }}{PARA 6 " " 1 "" {TEXT -1 20 "|| 0, 15, 13, 11,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 9, 12, 1, 2,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 8, 2, 4 , 12,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 11, 9, 1, 7,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 11, 6, 11, 7,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 11, 8, 13, 5,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 9, 6, 8, 4,||" }} {PARA 6 "" 1 "" {TEXT -1 20 "|| 2, 8, 7, 13,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 13, 12, 8, 8,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| \+ 4, 1, 6, 3,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 2, 11, 3, 15,|| " }}{PARA 6 "" 1 "" {TEXT -1 20 "||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 15, 4, 7, 8,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "| | 13, 4, 12, 2,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 8, 2, 8, 2, ||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 6, 15, 2, 0,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 11, 9, 7, 2,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 12, 11, 11, 11,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 3, 10, 9, \+ 7,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 15, 5, 1, 7,||" }}{PARA 6 " " 1 "" {TEXT -1 20 "||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 9, 8, 2, 11,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 9, 12, 15 , 15,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 14, 13, 13, 8,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 5, 6, 2, 0,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 8, 5, 7, 3,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 14, 11, 2, 5,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 11, 12, 3, 8,||" }} {PARA 6 "" 1 "" {TEXT -1 20 "|| 5, 3, 10, 7,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|--- ---------------|" }}{PARA 6 "" 1 "" {TEXT -1 0 "" }}{PARA 6 "" 1 "" {TEXT -1 32 "(s_prism'_\{p_prism\} + Ph)^(-1) =" }}{PARA 6 "" 1 "" {TEXT -1 20 "|------------------|" }}{PARA 6 "" 1 "" {TEXT -1 20 "||-- --------------||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 4, 0, 3, 2,|| " }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 11, 14, 4, 2,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 0, 9, 10, 3,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "| | 13, 10, 14, 1,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 1, 13, 15, 11, ||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 1, 3, 4, 12,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 11, 2, 11, 3,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 2, 8, 12, 13,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "||-------------- --||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 14, 11, 4, 10,||" }}{PARA 6 " " 1 "" {TEXT -1 20 "|| 1, 14, 11, 12,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 11, 13, 7, 2,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 4, 15, 14 , 12,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 2, 14, 0, 1,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 12, 5, 0, 10,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 3, 6, 15, 7,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 15, 0, 14, 7,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "||----------------||" }} {PARA 6 "" 1 "" {TEXT -1 20 "|| 10, 5, 2, 5,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 10, 15, 11, 13,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| \+ 6, 10, 15, 12,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 9, 8, 11, 3,|| " }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 1, 12, 2, 5,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 6, 3, 8, 0,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "| | 3, 10, 12, 10,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 8, 14, 9, 13, ||" }}{PARA 6 "" 1 "" {TEXT -1 20 "||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 9, 3, 5, 2,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 15, 1, 15, 12,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 15, 7, 3, \+ 1,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 5, 10, 3, 15,||" }}{PARA 6 " " 1 "" {TEXT -1 20 "|| 1, 0, 4, 9,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 5, 1, 11, 14,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 8, 7, 1 , 0,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 3, 9, 6, 14,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|------------------|" }}{PARA 6 "" 1 "" {TEXT -1 0 "" }}{PARA 6 "" 1 "" {TEXT -1 77 "s_prism after nonlinear system transform and p_ prism after Rubic transform = " }}{PARA 6 "" 1 "" {TEXT -1 46 "|------ ------------| |------------------|" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 15, 4, 3, 11,|| || 62, 63, 91, 89,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 15, 2, 5, 14,|| || 42,100, 69, 19,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 15, 5, 6, 2,|| || 85,126, \+ 68, 36,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 0, 9, 0, 15,|| || 67,128, 81,125,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 14, 5, 0, 3,| | || 22, 55, 57, 79,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 14, 14, 5, 7,|| ||113, 43, 12, 47,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 11, 7, 14, 7,|| ||101,116, 82, 28,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 10, 1, 8,|| || 84, 32, 53, 66,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||----------------|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 9, 1, 0, 5,|| || 52, 80,1 20, 86,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 2, 1, 11,|| || 46, 44, 58, 7,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 6, 6, 7,| | ||108, 31,109, 71,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12, 3, 10, 1,|| || 24, 17, 11,114,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 12, 1, 15, 1,|| || 97,121, 6, 48,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 8, 3, 6, 9,|| || 9, 1,124, 23,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 5, 3, 10,|| || 95, 37, 75, 50,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 7, 8, 4,|| || 15, 21,1 23, 39,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| || ----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 6, 9, 10, 1,| | || 74, 73,118, 76,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 10, 12, 0, 7,|| || 8, 64,107, 93,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 14, 11, 12, 8,|| || 65, 26, 5,103,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 0, 12, 4, 15,|| || 18, 2, 61,106,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 9, 3, 8, 6,|| ||115,111, 35, 30,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 1, 14, 5,|| || 51, 49, \+ 87, 25,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 4, 9, 12,|| || 102,122, 72, 29,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 12, 0, 11,| | || 56, 34,119, 20,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||-------- --------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 8, 7, 8, 11,|| || 92, 70, 4, 27,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12, 9, 3, 8,|| || 33,127, 45,117,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 12, 0, 6,|| || 16,110, 40, 77,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 4, 5, 10,|| || 88, 13, \+ 3, 94,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 8, 2, 6, 1,|| || 38, 10, 83, 14,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 1, 3, 12, 15,| | || 41, 54, 98, 96,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 4, 6, 2, 12,|| || 90,104, 60, 99,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 13, 4, 11, 1,|| || 78,112, 59,105,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|------------------| |------------------| " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&\"\"\"F$*$)%\"tG\"\"#F$F$\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,(\"\"\"F$%\"tGF$*$)F%\"\"$F$F$\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,(%\"tG\"\"\"*$)F$\"\"#F%F%*$)F$\"\"$F%F%\"\"%" }} {PARA 11 "" 1 "" {XPPMATH 20 "6$,(%\"tG\"\"\"*$)F$\"\"#F%F%*$)F$\"\"$F %F%F+" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"!\"\"#" }}{PARA 11 "" 1 " " {XPPMATH 20 "6$,*\"\"\"F$%\"tGF$*$)F%\"\"#F$F$*$)F%\"\"$F$F$\"\"%" } }{PARA 11 "" 1 "" {XPPMATH 20 "6$,(%\"tG\"\"\"*$)F$\"\"#F%F%*$)F$\"\"$ F%F%F+" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,(%\"tG\"\"\"*$)F$\"\"#F%F%* $)F$\"\"$F%F%F+" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&*$)%\"tG\"\"#\"\" \"F(*$)F&\"\"$F(F(F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$)%\"tG\"\"# \"\"\"F&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$)%\"tG\"\"$\"\"\"\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&*$)%\"tG\"\"#\"\"\"F(*$)F&\"\"$F(F (\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$)%\"tG\"\"#\"\"\"\"\"$" }} {PARA 11 "" 1 "" {XPPMATH 20 "6$,(\"\"\"F$%\"tGF$*$)F%\"\"#F$F$\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&%\"tG\"\"\"*$)F$\"\"#F%F%\"\"$" }} {PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"\"\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&\"\"\"F$%\"tGF$\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&%\"tG\"\"\"*$)F$\"\"$F%F%F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$ )%\"tG\"\"$\"\"\"\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$)%\"tG\"\" $\"\"\"\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"!\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,(%\"tG\"\"\"*$)F$\"\"#F%F%*$)F$\"\"$F%F%\" \"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$%\"tG\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&%\"tG\"\"\"*$)F$\"\"#F%F%\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&*$)%\"tG\"\"#\"\"\"F(*$)F&\"\"$F(F(F+" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$)%\"tG\"\"#\"\"\"\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"\"\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$)%\"tG \"\"$\"\"\"F&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&\"\"\"F$*$)%\"tG\" \"#F$F$\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&\"\"\"F$*$)%\"tG\"\" #F$F$\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&*$)%\"tG\"\"#\"\"\"F(* $)F&\"\"$F(F(\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"!\"\"$" }} {PARA 11 "" 1 "" {XPPMATH 20 "6$%\"tG\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,(\"\"\"F$%\"tGF$*$)F%\"\"#F$F$\"\"$" }}{PARA 11 "" 1 " " {XPPMATH 20 "6$,&*$)%\"tG\"\"#\"\"\"F(*$)F&\"\"$F(F(F'" }}{PARA 11 " " 1 "" {XPPMATH 20 "6$*$)%\"tG\"\"#\"\"\"F&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"\"\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$)%\"tG \"\"#\"\"\"\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$%\"tG\"\"$" }} {PARA 11 "" 1 "" {XPPMATH 20 "6$*$)%\"tG\"\"#\"\"\"F&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,(\"\"\"F$%\"tGF$*$)F%\"\"#F$F$\"\"%" }}{PARA 11 " " 1 "" {XPPMATH 20 "6$,&\"\"\"F$*$)%\"tG\"\"#F$F$\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&\"\"\"F$%\"tGF$\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"\"\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&\"\"\" F$%\"tGF$\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$)%\"tG\"\"#\"\"\"F &" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$%\"tG\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"\"\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&*$)%\" tG\"\"#\"\"\"F(*$)F&\"\"$F(F(F+" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$) %\"tG\"\"#\"\"\"\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"\"\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"!\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&*$)%\"tG\"\"#\"\"\"F(*$)F&\"\"$F(F(F+" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&%\"tG\"\"\"*$)F$\"\"$F%F%F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$)%\"tG\"\"#\"\"\"\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&\"\"\"F$*$)%\"tG\"\"$F$F$\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$)%\"tG\"\"#\"\"\"\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&% \"tG\"\"\"*$)F$\"\"#F%F%\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$%\"tG \"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$%\"tG\"\"$" }}{PARA 11 "" 1 " " {XPPMATH 20 "6$*$)%\"tG\"\"#\"\"\"\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&*$)%\"tG\"\"#\"\"\"F(*$)F&\"\"$F(F(F+" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$)%\"tG\"\"$\"\"\"\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&%\"tG\"\"\"*$)F$\"\"#F%F%\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"\"\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,(%\"tG \"\"\"*$)F$\"\"#F%F%*$)F$\"\"$F%F%F+" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6$,&\"\"\"F$*$)%\"tG\"\"#F$F$\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$ \"\"!\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"!\"\"%" }}{PARA 11 " " 1 "" {XPPMATH 20 "6$,&%\"tG\"\"\"*$)F$\"\"#F%F%\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&\"\"\"F$*$)%\"tG\"\"#F$F$\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"!\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$)%\" tG\"\"$\"\"\"\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"!\"\"#" }} {PARA 11 "" 1 "" {XPPMATH 20 "6$,&%\"tG\"\"\"*$)F$\"\"#F%F%\"\"$" }} {PARA 11 "" 1 "" {XPPMATH 20 "6$,(%\"tG\"\"\"*$)F$\"\"#F%F%*$)F$\"\"$F %F%F+" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$)%\"tG\"\"$\"\"\"\"\"#" }} {PARA 11 "" 1 "" {XPPMATH 20 "6$,&%\"tG\"\"\"*$)F$\"\"#F%F%\"\"%" }} {PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"!\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"!\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"!\"\" #" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"\"\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&*$)%\"tG\"\"#\"\"\"F(*$)F&\"\"$F(F(F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$)%\"tG\"\"$\"\"\"\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$)%\"tG\"\"#\"\"\"\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&*$)%\"tG\"\"#\"\"\"F(*$)F&\"\"$F(F(\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"!\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&%\"tG\" \"\"*$)F$\"\"$F%F%F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$)%\"tG\"\"$ \"\"\"\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$%\"tG\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&*$)%\"tG\"\"#\"\"\"F(*$)F&\"\"$F(F(F+" }} {PARA 11 "" 1 "" {XPPMATH 20 "6$*$)%\"tG\"\"#\"\"\"F&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$)%\"tG\"\"#\"\"\"F&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"!\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&\"\"\"F $%\"tGF$\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"!\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$)%\"tG\"\"$\"\"\"F&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,(\"\"\"F$%\"tGF$*$)F%\"\"#F$F$\"\"$" }}{PARA 11 "" 1 " " {XPPMATH 20 "6$*$)%\"tG\"\"#\"\"\"F&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"!\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,*\"\"\"F$%\"tGF$* $)F%\"\"#F$F$*$)F%\"\"$F$F$\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$% \"tG\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&*$)%\"tG\"\"#\"\"\"F(*$ )F&\"\"$F(F(F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,(\"\"\"F$%\"tGF$*$) F%\"\"$F$F$\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$)%\"tG\"\"#\"\" \"F&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&%\"tG\"\"\"*$)F$\"\"$F%F%F( " }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$)%\"tG\"\"$\"\"\"\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"\"\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"!\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$)%\"tG\"\"#\"\"\"F& " }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$)%\"tG\"\"$\"\"\"\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$)%\"tG\"\"#\"\"\"\"\"$" }}{PARA 11 "" 1 " " {XPPMATH 20 "6$,&\"\"\"F$%\"tGF$\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&*$)%\"tG\"\"#\"\"\"F(*$)F&\"\"$F(F(\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&\"\"\"F$*$)%\"tG\"\"#F$F$\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&%\"tG\"\"\"*$)F$\"\"#F%F%\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,(%\"tG\"\"\"*$)F$\"\"#F%F%*$)F$\"\"$F%F%F+" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$)%\"tG\"\"$\"\"\"\"\"#" }}{PARA 11 "" 1 " " {XPPMATH 20 "6$,(\"\"\"F$%\"tGF$*$)F%\"\"#F$F$\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"\"\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\" \"\"\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&*$)%\"tG\"\"#\"\"\"F(*$ )F&\"\"$F(F(F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,(\"\"\"F$%\"tGF$*$) F%\"\"#F$F$\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"!\"\"$" }} {PARA 11 "" 1 "" {XPPMATH 20 "6$,&%\"tG\"\"\"*$)F$\"\"$F%F%F(" }} {PARA 11 "" 1 "" {XPPMATH 20 "6$,&%\"tG\"\"\"*$)F$\"\"#F%F%\"\"%" }} {PARA 11 "" 1 "" {XPPMATH 20 "6$*$)%\"tG\"\"$\"\"\"\"\"%" }}{PARA 11 " " 1 "" {XPPMATH 20 "6$*$)%\"tG\"\"$\"\"\"\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q&sum_b6\"\"$%Q" }}{PARA 6 "" 1 "" {TEXT -1 0 "" }} {PARA 6 "" 1 "" {TEXT -1 25 "map s_prism and p_prism= " }}{PARA 6 "" 1 "" {TEXT -1 46 "|------------------| |------------------|" }} {PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||------------- ---||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 10, 0, 0,|| || 8, 40, 72,104,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 3, 14, 0, 0,|| \+ || 7, 39, 71,103,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 6, 6, 0, 0,|| || 6, 38, 70,102,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13 , 3, 0, 0,|| || 5, 37, 69,101,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 2, 14, 0, 0,|| || 4, 36, 68,100,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 8, 6, 0, 0,|| || 3, 35, 67, 99,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 8, 13, 0, 0,|| || 2, 34, 66, 98,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 2, 8, 0, 0,|| || 1, 33, \+ 65, 97,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| || ----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 6, 0, 0, 0,| | || 16, 48, 80,112,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 0, 0, 0,|| || 15, 47, 79,111,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 0, 0, 0, 0,|| || 14, 46, 78,110,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 9, 0, 0, 0,|| || 13, 45, 77,109,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 14, 0, 0, 0,|| || 12, 44, 76,108,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 0, 0, 0,|| || 11, 43, \+ 75,107,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 0, 0, 0,|| || 10, 42, 74,106,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 3, 1, 0, 0,| | || 9, 41, 73,105,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||-------- --------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 12, 0, 0, 0,|| || 24, 56, 88,120,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 0, 0, 0, 0,|| || 23, 55, 87,119,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 2, 0, 0, 0,|| || 22, 54, 86,118,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 1, 0, 0, 0,|| || 21, 53, \+ 85,117,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 14, 0, 0, 0,|| || 20, 52, 84,116,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 0, 0, 4,| | || 19, 51, 83,115,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 14, 0, 0, 10,|| || 18, 50, 82,114,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 12, 0, 0, 0,|| || 17, 49, 81,113,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 0, 0, 0,|| || 32, 64, 96,128,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 1, 0, 0, 0,|| || 31, 63, \+ 95,127,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 0, 0, 0,|| || 30, 62, 94,126,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 1, 0, 0, 0,| | || 29, 61, 93,125,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 2, 0, 0, 0,|| || 28, 60, 92,124,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 7, 0, 0, 0,|| || 27, 59, 91,123,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 9, 0, 0, 0,|| || 26, 58, 90,122,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 3, 0, 0, 0,|| || 25, 57, 89,121,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||--------- -------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|------------------| |- -----------------|" }}{PARA 6 "" 1 "" {TEXT -1 0 "" }}{PARA 6 "" 1 "" {TEXT -1 61 "affine transformed s_prism and p_prism after initializati on= " }}{PARA 6 "" 1 "" {TEXT -1 46 "|------------------| |------ ------------|" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| \+ ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 15, 14, 7, \+ 7,|| ||128, 88, 24, 96,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 2, 5, 7, 7,|| ||127, 95, 63, 31,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 13, 7, 7,|| ||126, 6, 62, 94,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 1, 2, 7, 7,|| ||125,101, 5, 93,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 8, 5, 7, 7,|| ||124, 20, 60, 36,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 10, 13, 7, 7,|| ||123, 75, \+ 3, 91,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 10, 1, 7, 7,|| || 122, 58, 34, 2,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 8, 10, 7, 7,| | ||121, 41, 57, 89,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||-------- --------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 13, 7, 7, 7,|| || 80,120, 72,104,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 15, 7, 7, 7,|| ||119, 23, 71, 7,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 7, 7, 7,|| || 78, 14, 22,102,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 3, 7, 7, 7,|| || 53, 61, \+ 69, 29,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 5, 7, 7, 7,|| || 92, 68, 28,100,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 1, 7, 7, 7,| | ||115, 19, 67, 99,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 15, 7, 7, 7,|| ||114, 18, 66, 98,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 2, 0, 7, 7,|| || 97, 25, 1, 17,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 6, 7, 7, 7,|| || 32, 48, 16,112,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 7, 7, 7,|| ||103, 47, \+ 79,111,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 8, 7, 7, 7,|| || 70, 46, 38,110,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 0, 7, 7, 7,| | || 37, 45, 77,109,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 5, 7, 7, 7,|| || 12, 44, 76,108,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 1, 7, 7, 12,|| || 11, 43, 35, 59,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 5, 7, 7, 14,|| || 90, 42, 10, 74,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 6, 7, 7, 7,|| || 33, 65, 73,105,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||--------- -------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 1, 7, 7, 7,|| || 64, 56, 40, 8,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 0, 7, 7, 7,| | || 39, 55, 87, 15,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 15, 7, 7, 7,|| ||118, 54, 86, 30,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 0, 7, 7, 7,|| || 21, 13, 85,117,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 8, 7, 7, 7,|| || 4, 52, 84,116,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 7, 7, 7,|| ||107, 51, 83, 27,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 3, 7, 7, 7,|| || 50, 26, \+ 82,106,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 2, 7, 7, 7,|| || 9, 49, 81,113,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------| | ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|--------- ---------| |------------------|" }}{PARA 6 "" 1 "" {TEXT -1 0 "" }}{PARA 6 "" 1 "" {TEXT -1 88 "s_prism after first DFT iteration throu gh k-axis and p_prism after 1st and 2nd swappings" }}{PARA 6 "" 1 "" {TEXT -1 46 "|------------------| |------------------|" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||----------------|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 8, 8, 11, 11,|| ||125, 58, \+ 60, 36,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 13, 0, 0,|| || 126, 75, 34, 2,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 15, 3, 16, 16,| | ||128, 95, 3, 91,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 0, 0, 0, 0,|| ||123, 88, 57, 89,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 13, 10, 15, 15,|| ||127, 20, 24, 96,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 6, 15, 0, 0,|| ||121, 41, 62, 94,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 2, 3, 3,|| ||124,101, 63, 31,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 2, 12, 11, 11,|| ||122, 6, \+ 5, 93,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| || ----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 4, 4, 11, 11,| | || 92, 19, 28,100,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12, 10, 0, 0,|| ||115, 68, 66, 98,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 4, 9, 16, 16,|| || 97, 25, 67, 99,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 0, 10, 0, 0,|| || 80, 18, 1, 17,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 9, 8, 15, 15,|| ||114,120, 72,104,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 10, 0, 0,|| ||119, 14, \+ 22,102,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 8, 13, 3, 3,|| || 78, 23, 71, 7,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 6, 4, 11, 11,| | || 53, 61, 69, 29,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||-------- --------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 3, 11, 11, 3,|| || 70, 44, 76,109,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 5, 0, 0, 1,|| || 33, 42, 10, 74,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 16, 16, 5,|| || 32, 43, 35, 59,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 14, 0, 0, 15,|| ||103, 65, \+ 73,112,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 1, 15, 15, 0,|| || 90, 48, 16,105,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 5, 0, 0, 6,| | || 11, 46, 38,110,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 9, 3, 3, 3,|| || 37, 47, 79,111,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 0, 11, 11, 6,|| || 12, 45, 77,108,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 3, 11, 11, 11,|| || 4, 52, 84,116,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 0, 0, 0,|| ||107, 26, \+ 82,106,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 10, 16, 16, 16,|| || 64, 51, 83, 27,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 2, 0, 0, 0,| | || 39, 49, 81,113,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 15, 15, 15, 15,|| || 50, 56, 40, 8,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 5, 0, 0, 0,|| || 9, 54, 86, 30,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 14, 3, 3, 3,|| || 21, 55, 87, 15,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 11, 11, 11,|| ||118, 13, 85,117,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||--------- -------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|------------------| |- -----------------|" }}{PARA 6 "" 1 "" {TEXT -1 0 "" }}{PARA 6 "" 1 "" {TEXT -1 82 "s_prism after second DFT iteration through j-axis and p_p rism after third swapping" }}{PARA 6 "" 1 "" {TEXT -1 46 "|----------- -------| |------------------|" }}{PARA 6 "" 1 "" {TEXT -1 46 "||- ---------------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 1, 0, 10, 2,|| || 92, 58, 84,109,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 1, 6, 0, 1,|| ||126, 42, 10, 2,||" }} {PARA 6 "" 1 "" {TEXT -1 46 "|| 6, 10, 13, 2,|| || 97, 43, 67, \+ 27,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 16, 10, 0, 15,|| ||103, 65, 73,113,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 4, 14, 9, 11,|| \+ ||127,120, 40,105,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 6, 8, 0, 6,|| ||119, 46, 38, 94,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 10 , 4, 12, 12,|| || 21, 47, 79, 31,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 15, 4, 10, 5,|| || 12, 13, 5, 29,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 9, 3, 0, 8,|| ||125, 19, 76,116,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 6, 2, 0, 16,|| || 33, 26, \+ 34, 74,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 14, 10, 0, 11,|| || 64, 51, 83, 99,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12, 6, 0, 2,| | || 39, 88, 81,112,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 5, 1, 0, 15,|| || 90, 20, 16, 8,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 9, 4, 0, 11,|| || 9, 54, 62,110,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 14, 5, 0, 0,|| || 78, 55, 63,111,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 15, 7, 0, 5,|| ||122, 45, 69, 93,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||--------- -------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 4, 4, 0, 9,|| || 4, 52, 28,100,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 6, 3, 0, 1,| | ||107, 68, 66, 98,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12, 11, 0, 6,|| ||128, 25, 35, 59,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 12, 7, 0, 15,|| || 80, 18, 1, 17,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 2, 0, 2,|| || 50, 56, 72,104,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 16, 5, 0, 6,|| || 11, 41, 86, 30,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 0, 6, 0, 0,|| ||124, 23, \+ 87, 15,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 6, 8, 0, 12,|| || 53, 61, 85,117,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------| | ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 1, 8, 0, 8,|| || 70, 44, 60, 36,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 15, 7, 0, 16,|| ||115, 75, 82,106,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 15, 0, 11,|| || 32, 95, 3, 91,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 11, 0, 2,|| ||123, 49, 57, 89,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 2, 6, 0, 15,|| ||114, 48, \+ 24, 96,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 10, 9, 0, 11,|| || 121, 14, 22,102,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 10, 0, 0,| | || 37,101, 71, 7,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 6, 12, 0, 5,|| ||118, 6, 77,108,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| |----------------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|------------------| |------------------|" }}{PARA 6 "" 1 "" {TEXT -1 0 "" }}{PARA 6 "" 1 "" {TEXT -1 77 "s_prism after 3 rd DFT iteration through i-axis and p_prism after 4th swapping" }} {PARA 6 "" 1 "" {TEXT -1 46 "|------------------| |-------------- ----|" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||---- ------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 0, 9, 16,|| \+ || 58, 92, 84,109,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 8, 4, 11, 15,|| || 10, 2,126, 42,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 14 , 8, 7, 12,|| || 97, 43, 67, 27,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 13, 8, 2,|| ||103, 73, 65,113,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 4, 7, 5, 0,|| ||105,120, 40,127,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 3, 14, 9, 15,|| ||119, 38, 94, 46,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 4, 0, 6, 13,|| || 47, 31, \+ 79, 21,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 0, 1, 16, 9,|| || 5, 29, 13, 12,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------| | ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 3, 6, 15, 12,|| ||116, 76, 19,125,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 7, 1, 5, 11,|| || 74, 34, 26, 33,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 1, 10, 10, 1,|| || 51, 64, 83, 99,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 3, 11, 4, 13,|| || 39, 81,112, 88,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 4, 0, 6, 10,|| || 90, 16, \+ 8, 20,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 15, 11, 3,|| || 9, 62, 54,110,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 2, 0, 9, 11,| | ||111, 63, 55, 78,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 10, 6, 3, 7,|| ||122, 45, 69, 93,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| |----------------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 0, 1, 8, 7,|| || 52, 4,100, 28,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 10, 14, 2, 15,|| || 68, 98, 66,107,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12, 15, 12, 9,|| ||128, 35, \+ 25, 59,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 0, 14, 7, 10,|| || 18, 80, 17, 1,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 7, 3, 7,| | || 56,104, 50, 72,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 10, 12, 5, 3,|| || 41, 11, 86, 30,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 6, 7, 11, 10,|| || 23,124, 87, 15,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 9, 7, 3, 5,|| ||117, 85, 53, 61,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||----------------|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 0, 1, 2, 1,|| || 44, 70, \+ 60, 36,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 4, 13, 9, 0,|| || 106, 75,115, 82,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 3, 10, 2, 12,| | || 3, 32, 91, 95,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 13, 15, 9,|| || 49,123, 57, 89,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 6, 0, 15, 4,|| || 96, 48, 24,114,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 2, 7, 1,|| || 14,121,102, 22,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 4, 0, 1, 5,|| ||101, 37, 7, 71,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 6, 0, 6, 12,|| || 77,108, \+ 6,118,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| || ----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|------------------ | |------------------|" }}{PARA 6 "" 1 "" {TEXT -1 0 "" }}{PARA 6 "" 1 "" {TEXT -1 22 "(s_prism' + Pl)^(-1) =" }}{PARA 6 "" 1 "" {TEXT -1 20 "|------------------|" }}{PARA 6 "" 1 "" {TEXT -1 20 "||-- --------------||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 9, 13, 12, 15,|| " }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 15, 5, 6, 6,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 2, 10, 8, 9,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "| | 0, 8, 7, 10,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 12, 2, 12, 2, ||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 8, 4, 9, 1,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 14, 2, 7, 4,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 6, 13, 15, 6,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "||-------------- --||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 9, 3, 13, 1,||" }}{PARA 6 " " 1 "" {TEXT -1 20 "|| 12, 10, 2, 3,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 15, 3, 7, 15,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 8, 3, 8 , 6,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 11, 0, 11, 11,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 11, 1, 12, 12,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 12, 2, 11, 6,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 0, 14, 5, 3,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "||----------------||" }} {PARA 6 "" 1 "" {TEXT -1 20 "|| 8, 6, 13, 14,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 11, 13, 0, 8,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 1 3, 13, 6, 15,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 15, 11, 5, 14,|| " }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 10, 2, 1, 2,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 10, 9, 10, 12,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "| | 1, 14, 13, 6,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 13, 15, 5, 4, ||" }}{PARA 6 "" 1 "" {TEXT -1 20 "||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 13, 9, 11, 6,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 11, 5, 3, 15,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 0, 3, 7, 1 0,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 5, 5, 5, 0,||" }}{PARA 6 " " 1 "" {TEXT -1 20 "|| 5, 0, 9, 5,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 10, 14, 1, 9,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 1, 6, 5 , 15,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 14, 13, 0, 3,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|------------------|" }}{PARA 6 "" 1 "" {TEXT -1 0 "" }}{PARA 6 "" 1 "" {TEXT -1 32 "(s_prism'_\{p_prism\} + Ph)^(-1) =" }}{PARA 6 " " 1 "" {TEXT -1 20 "|------------------|" }}{PARA 6 "" 1 "" {TEXT -1 20 "||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 8, 5, 0 , 9,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 5, 8, 14, 6,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 2, 11, 12, 14,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 12, 9, 14, 11,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 10, 14, 8, 9,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 13, 4, 9, 4,||" }} {PARA 6 "" 1 "" {TEXT -1 20 "|| 2, 6, 12, 15,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 10, 5, 2, 14,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "||-- --------------||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 9, 9, 15, 11,|| " }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 2, 15, 9, 10,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 12, 6, 13, 7,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "| | 10, 3, 5, 3,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 11, 1, 10, 6, ||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 7, 7, 7, 3,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 5, 11, 15, 5,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 12, 2, 0, 3,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "||-------------- --||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 13, 13, 11, 15,||" }}{PARA 6 " " 1 "" {TEXT -1 20 "|| 7, 10, 3, 12,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 1, 8, 0, 9,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 12, 2, 7 , 4,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 12, 15, 14, 10,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 12, 15, 9, 3,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 11, 4, 4, 13,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 15, 7, 0, 5,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "||----------------||" }} {PARA 6 "" 1 "" {TEXT -1 20 "|| 12, 5, 13, 12,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 8, 7, 0, 14,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 1 4, 3, 4, 8,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 3, 13, 13, 11,|| " }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 13, 3, 3, 15,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 14, 3, 2, 4,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "| | 10, 1, 2, 7,||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|| 10, 7, 7, 11, ||" }}{PARA 6 "" 1 "" {TEXT -1 20 "||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 20 "|------------------|" }}{PARA 6 "" 1 "" {TEXT -1 0 " " }}{PARA 6 "" 1 "" {TEXT -1 77 "s_prism after nonlinear system transf orm and p_prism after Rubic transform = " }}{PARA 6 "" 1 "" {TEXT -1 46 "|------------------| |------------------|" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 14, 12, 15, 13,|| || 58, 92, 84,109,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 5, 15, 13, 14,|| ||106, 68, \+ 74, 10,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 15, 4, 2, 5,|| || 97, 51,128, 3,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12, 8, 9, 14,| | ||113, 88, 1, 89,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 8, 9, 4, 8,|| ||105,120, 40,127,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 11, 14, 5, 2,|| || 14, 41, 9,119,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 7, 3, 5, 12,|| || 47,111, 23,101,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 1, 2, 12, 0,|| || 12, 93, 61,118,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------|| ||--------- -------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 9, 11, 2, 15,|| || 116, 76, 19,125,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 9, 7, 10, 2,| | || 75, 98, 34, 2,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 4, 3, 12, 15,|| || 43, 64, 35, 32,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 14, 3, 7, 4,|| || 65,112, 17, 57,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 12, 0, 14, 12,|| || 90, 16, 8, 20,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 4, 5, 13, 6,|| ||121, 11, 62, 38,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 14, 12, 7, 9,|| || 31, 63,1 24, 37,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 1, 11, 13, 4,|| || 13, 69, 53, 6,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "||----------------| | ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 3, 2, 12, 0,|| || 52, 4,100, 28,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| | 6, 11, 3, 3,|| ||115, 66, 26,126,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 2, 14, 10, 14,|| || 67, 83, 25, 91,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 3, 5, 6, 5,|| || 73, 81, 80,123,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 15, 14, 7, 14,|| || 56,104, \+ 50, 72,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 13, 7, 13, 10,|| || 102, 86, 54, 94,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 1, 14, 0, 7,| | || 79, 55, 87, 7,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 9, 4, 5, 10,|| || 29, 45, 85,108,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "| |----------------|| ||----------------||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 9, 11, 14, 1,|| || 44, 70, 60, 36,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 15, 11, 0, 9,|| || 82,107, 33, 42,|| " }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 3, 12, 3, 4,|| || 27, 99, \+ 59, 95,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 11, 12, 13, 1,|| || 103, 39, 18, 49,||" }}{PARA 6 "" 1 "" {TEXT -1 46 "|| 0, 1, 12, 11,| | || 96, 48, 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