* Exercise 1.3.2'--18, Solution 2
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* Exercise 1.3.2'--18, Solution 2
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LOC #100
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LOC #100
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t IS $255
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t IS $255
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a00 GREG Data_Segment
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a00 GREG Data_Segment
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a10 GREG Data_Segment+8
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a10 GREG Data_Segment+8
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a20 GREG Data_Segment+8*2
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a20 GREG Data_Segment+8*2
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ij GREG % element index
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ij GREG % element index
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ii GREG % row index times 8
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ii GREG % row index times 8
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j GREG % column index
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j GREG % column index
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x GREG % current maximum
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x GREG % current maximum
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y GREG % current element
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y GREG % current element
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z GREG % current min max
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z GREG % current min max
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ans IS $0 % return register
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ans IS $0 % return register
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Phase1 SET j,8 Start at column 8.
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Phase1 SET j,8 Start at column 8.
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SET z,1000 $\.z\gets\infty$ (more or less).
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SET z,1000 $\.z\gets\infty$ (more or less).
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3H ADD ij,j,9*8-2*8
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3H ADD ij,j,9*8-2*8
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LDB x,a20,ij
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LDB x,a20,ij
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1H LDB y,a10,ij
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1H LDB y,a10,ij
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CMP t,x,y Is x
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CMP t,x,y Is x
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CSN x,t,y If so, update the maximum.
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CSN x,t,y If so, update the maximum.
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2H SUB ij,ij,8 Move up one.
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2H SUB ij,ij,8 Move up one.
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PBP ij,1B
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PBP ij,1B
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STB x,a10,ij Store column maximum.
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STB x,a10,ij Store column maximum.
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CMP t,x,z Is x
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CMP t,x,z Is x
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CSN z,t,x If so, update the min max.
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CSN z,t,x If so, update the min max.
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SUB j,j,1 Move left a column.
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SUB j,j,1 Move left a column.
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PBP j,3B
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PBP j,3B
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Phase2 SET ii,9*8-8 At this point $\.z=\min_jC(j)$
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Phase2 SET ii,9*8-8 At this point $\.z=\min_jC(j)$
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3H ADD ij,ii,8 Prepare to search a row.
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3H ADD ij,ii,8 Prepare to search a row.
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SET j,8
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SET j,8
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1H LDB x,a10,ij
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1H LDB x,a10,ij
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SUB t,z,x Is $\.z>a_{ij}$?
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SUB t,z,x Is $\.z>a_{ij}$?
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PBP t,No No saddle in this row
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PBP t,No No saddle in this row
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PBN t,2F
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PBN t,2F
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LDB x,a00,j Is $a_{ij}=C(j)$?
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LDB x,a00,j Is $a_{ij}=C(j)$?
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CMP t,x,z
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CMP t,x,z
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CSZ ans,t,ij If so, remember a possible saddle point.
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CSZ ans,t,ij If so, remember a possible saddle point.
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2H SUB j,j,1 Move left in row.
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2H SUB j,j,1 Move left in row.
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SUB ij,ij,1
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SUB ij,ij,1
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PBP j,1B
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PBP j,1B
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LDA ans,a10,ans A saddle point was found here.
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LDA ans,a10,ans A saddle point was found here.
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POP 1,0
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POP 1,0
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No SUB ii,ii,8
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No SUB ii,ii,8
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PBP ii,3B Try another row.
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PBP ii,3B Try another row.
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SET ans,0
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SET ans,0
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POP 1,0 $\.{ans} = 0$; no saddle.\quad\slug
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POP 1,0 $\.{ans} = 0$; no saddle.\quad\slug
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aaaa GREG 6364136223846793005 C E Haynes's multiplier
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aaaa GREG 6364136223846793005 C E Haynes's multiplier
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Main SET ij,9*8 assume that $1 = seed
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Main SET ij,9*8 assume that $1 = seed
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1H MULU $1,$1,aaaa
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1H MULU $1,$1,aaaa
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INCL $1,1
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INCL $1,1
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MULU x,$1,5
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MULU x,$1,5
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GET x,rH
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GET x,rH
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SUB x,x,2
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SUB x,x,2
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STB x,a10,ij
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STB x,a10,ij
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SUB ij,ij,1
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SUB ij,ij,1
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PBP ij,1B
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PBP ij,1B
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PUSHJ 2,Phase1
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PUSHJ 2,Phase1
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JMP Main
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JMP Main
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