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📁 8051的一些算法
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;浮点运算子程序库
;整理:聂小猛。该资料来自“51单片机世界”http://go.163.com/~dz2000,欢迎访问。
;1,FSDT浮点数格式化     F[R0]->[RO]GeShiHua *
;2,FADD浮点数加法       F[R0]+[R1]=[R0],OV 
;3,FSUB浮点数减法       F[R0]-[R1]=[R0],OV 
;4,FMUL浮点数乘法       F[R0]x[R1]=[R0],OV 
;5,FDIV浮点数除法       F[R0]/[R1]=R0,OV 
;6,FSQR浮点数开平方     /--F[R0]=[R0],OV 
;7,FPLN浮点数多项式     F[R0]DuoXiangShi=[R0],OV 
;8,FABS浮点数绝对值     |F[R0]|=[R0] *COS 
;9,FSGN浮点数符号       [R0] A=1>+,A=0FFH>-,A=0 *  
;10,FINT浮点取整函数    F[R0]QuZheng *SIN  
;11,FRCP浮点倒数函数    1/F[R0]=R0,OV *arcctg
;12,FLOG以10为底对数函数LogF[R0]=[R0],OV 
;13,FLN以e为底对数函数  LnF[R0]=[R0],OV 
;14,FEXP10以10为底指数函数10`[R0]=[R0],OV 
;15,FEXP以e为底指数函数 e`[R0]=[R0],OV 
;16,FEXP2以2为底指数函数2`[R0]=[R0],OV 
;17,FCOS浮点余弦函数    COSF[R0]=[R0] 
;18,FSIN浮点正弦函数    SINF[R0]=[R0] 
;19,FATN浮点正切函数    arcctgF[R0]=[R0] 
;24,BCDTOF浮点bcd转格式化BCDf[R0]=F[R0]  
;25,FTOBCD格式化转浮点  bcd F[R0]=BCDF[R0] 
;26,RTOD浮点弧度数转度数HuF[R0]=DuF[R0] 
;27,DTOR浮点度数转弧度数DuF[R0]=HuF[R0] 


;1
;F[R0]->[RO]GeShiHua
;PSW,A,R2,R3,R4,2FH.7;6
FSDT:   LCALL MOVR0 ;;
        LCALL RLN
        LJMP MOV0
;2
;F[R0]+[R1]=[R0],OV
;PSW,A,R2-R7,2FH.0,2FH.7;6
FADD:   CLR F0
        SJMP AS ;;
;3
;F[R0]-[R1]=[R0],OV
;PSW,A,R2-R7,2FH.0,2FH.7;6
FSUB:   SETB F0
AS:     LCALL MOVR1
        MOV C,F0
        RRC A
        XRL A,@R1
        MOV C,ACC.7
ASN:    MOV 2FH.0,C
        XRL A,@R0
        RLC A
        MOV F0,C
AS0:    LCALL MOVR0
        LCALL AS1

MOV0:   INC R0
        INC R0
        MOV A,R4
        MOV @R0,A
        DEC R0
        MOV A,R3
        MOV @R0,A
        DEC R0
        MOV A,R2
        MOV C,2FH.7
        MOV ACC.7,C
        MOV @R0,A
        CLR ACC.7
        XRL A,#3FH
        JNZ MOV01
        SETB OV
        RET
MOV01:  MOV A,@R0
        CLR OV
        RET

MOVR0:  MOV A,@R0
        MOV C,ACC.7
        MOV 2FH.7,C
        MOV C,ACC.6
        MOV ACC.7,C
        MOV R2,A
        INC R0
        MOV A,@R0
        MOV R3,A
        INC R0
        MOV A,@R0
        MOV R4,A
        DEC R0
        DEC R0
        RET

MOVR1:  MOV A,@R1
        MOV C,ACC.7
        MOV 2FH.0,C
        MOV C,ACC.6
        MOV ACC.7,C
        MOV R5,A
        INC R1
        MOV A,@R1
        MOV R6,A
        INC R1
        MOV A,@R1
        MOV R7,A
        DEC R1
        DEC R1
        RET

AS1:    MOV A,R6
        JZ AS2
        MOV A,R3
        JNZ EQ
        MOV A,R6
        MOV R3,A
        MOV A,R7
        MOV R4,A
        MOV A,R5
        MOV R2,A
        MOV C,2FH.0
        MOV 2FH.7,C
AS2:    RET
EQ:     MOV A,R2
        XRL A,R5
        JZ AS4
        JB ACC.7,EQ3
        MOV A,R2
        CLR C
        SUBB A,R5
        JC EQ4
EQ2:    CLR C
        MOV A,R6
        RRC A
        MOV R6,A
        MOV A,R7
        RRC A
        MOV R7,A
        INC R5
        ORL A,R6
        JNZ EQ
        MOV A,R2
        MOV R5,A
        SJMP AS4
EQ3:    MOV A,R2
        JNB ACC.7,EQ2
EQ4:    CLR C
        LCALL RR1
        ORL A,R3
        JNZ EQ
        MOV A,R5
        MOV R2,A
AS4:    JB F0,AS5
        MOV A,R4
        ADD A,R7
        MOV R4,A
        MOV A,R3
        ADDC A,R6
        MOV R3,A
        JNC AS2
        LJMP RR1
AS5:    CLR C
        MOV A,R4
        SUBB A,R7
        MOV B,A
        MOV A,R3
        SUBB A,R6
        JC AS6
        MOV R4,B
        MOV R3,A
        LJMP RLN
AS6:    CPL 2FH.7
        CLR C
        MOV A,R7
        SUBB A,R4
        MOV R4,A
        MOV A,R6
        SUBB A,R3
        MOV R3,A
RLN:    MOV A,R3
        ORL A,R4
        JNZ RLN1
        MOV R2,A
        RET
RLN1:   MOV A,R3
        JB ACC.7,RLN2
        CLR C
        LCALL RL1
        SJMP RLN1
RLN2:   CLR OV
        RET
RL1:    MOV A,R4
        RLC A
        MOV R4,A
        MOV A,R3
        RLC A
        MOV R3,A
        DEC R2
        MOV A,R2
        XRL A,#0C0H
        JNZ RL1E
        MOV R2,A
        MOV R3,A
        MOV R4,A
RL1E:   CLR OV
        RET
RR1:    MOV A,R3
        RRC A
        MOV R3,A
        MOV A,R4
        RRC A
        MOV R4,A
        INC R2
        CLR OV
        MOV A,R2
        XRL A,#40H
        JNZ RR1E
        MOV R2,#3FH
        SETB OV
RR1E:   RET
;4
;F[R0]x[R1]=[R0],OV
;PSW,A,B,R2-R7,2FH.0,2FH.7;6
FMUL:   LCALL MOVR0
        MOV A,@R0
        XRL A,@R1
        RLC A
        MOV 2FH.7,C
        LCALL MUL0
        LJMP MOV0
MUL0:   LCALL MOVR1
MUL1:   MOV A,R3
        JZ MUL5
        MOV A,R6
        JZ MUL4
MULD:   MOV A,R7
        MOV B,R4
        MUL AB
        MOV A,B
        XCH A,R7
        MOV B,R3
        MUL AB
        ADD A,R7
        MOV R7,A
        CLR A
        ADDC A,B
        XCH A,R4
        MOV B,R6
        MUL AB
        ADD A,R7
        MOV R7,A
        MOV A,B
        ADDC A,R4
        MOV R4,A
        CLR A
        RLC A
        XCH A,R3
        MOV B,R6
        MUL AB
        ADD A,R4
        MOV R4,A
        MOV A,B
        ADDC A,R3
        MOV R3,A
        MOV A,R7
        RLC A
        MOV A,R3
        JB ACC.7,MUL2
        LCALL RL1
MUL2:   MOV A,R2
        ADD A,R5
MD:     MOV R2,A
        JB ACC.7,MUL3
        JNB ACC.6,MUL5
        MOV R2,#3FH
        SETB OV
        RET
MUL3:   JB ACC.6,MUL5
MUL4:   CLR A
        MOV R2,A
        MOV R3,A
        MOV R4,A
MUL5:   CLR OV
        RET

;5
;F[R0]/[R1]=R0,OV
;PSW,A,B,R2-R7,2FH.0,2FH.7;5
FDIV:   INC R0
        MOV A,@R0
        DEC R0
        JNZ DIV1
        CLR OV
        RET
DIV1:   INC R1
        MOV A,@R1
        DEC R1
        JNZ DIV2
        SETB OV
        RET
DIV2:   LCALL MOVR0
        MOV A,@R0
        XRL A,@R1
        RLC A
        MOV 2FH.7,C
        LCALL MOVR1
DIV3:   CLR C
        MOV A,R4
        SUBB A,R7
        MOV A,R3
        SUBB A,R6
        JC DIV4
        LCALL RR1
DIV4:   CLR A
        XCH A,R0
        PUSH ACC
        CLR A
        XCH A,R1
        PUSH ACC
        MOV A,R2
        PUSH ACC
        MOV B,#10H
DIVD1:  CLR C
        MOV A,R1
        RLC A
        MOV R1,A
        MOV A,R0
        RLC A
        MOV R0,A
        MOV A,R4
        RLC A
        MOV R4,A
        XCH A,R3
        RLC A
        XCH A,R3 ;;;;;;;
        MOV F0,C
        CLR C
        SUBB A,R7
        MOV R2,A
        MOV A,R3
        SUBB A,R6
        ANL C,/F0
        JC DIVD2
        MOV R3,A
        MOV A,R2
        MOV R4,A
        INC R1
DIVD2:  DJNZ B,DIVD1
        MOV A,R6
        CLR C
        RRC A
        SUBB A,R3
        CLR A
        ADDC A,R1
        MOV R4,A
        CLR A
        ADDC A,R0
        MOV R3,A
        POP ACC
        MOV R2,A
        POP ACC
        MOV R1,A
        POP ACC
        MOV R0,A
        MOV A,R2
        CLR C
        SUBB A,R5
        LCALL MD
        LJMP MOV0
;6
;/--F[R0]=[R0],OV
;PSW,A,B,R2-R7;2
FSQR:   MOV A,@R0
        JNB ACC.7,SQR
        SETB OV
        RET
SQR:    MOV C,ACC.6
        MOV ACC.7,C
        INC A
        CLR C
        RRC A
        MOV @R0,A
        INC R0
        JC SQR0
        MOV A,@R0
        RRC A
        MOV @R0,A
        INC R0
        MOV A,@R0
        RRC A
        MOV @R0,A
        DEC R0
SQR0:   MOV A,@R0
        JZ SQR9
        MOV R2,A
        INC R0
        MOV A,@R0
        MOV R3,A
        MOV A,R2
        ADD A,#57H
        JC SQR2
        ADD A,#45H
        JC SQR1
        ADD A,#24H
        MOV B,#0E3H
        MOV R4,#80H
        SJMP SQR3
SQR1:   MOV B,#0B2H
        MOV R4,#0A0H
        SJMP SQR3
SQR2:   MOV B,#8DH
        MOV R4,#0D0H
SQR3:   MUL AB
        MOV A,B
        ADD A,R4
        MOV R4,A
        MOV B,A
        MUL AB
        XCH A,R3
        CLR C
        SUBB A,R3
        MOV R3,A
        MOV A,B
        XCH A,R2
        SUBB A,R2
        MOV R2,A
SQR4:   SETB C
        MOV A,R4
        RLC A
        MOV R6,A
        CLR A
        RLC A
        MOV R5,A
        MOV A,R3
        SUBB A,R6
        MOV B,A
        MOV A,R2
        SUBB A,R5
        JC SQR5
        INC R4
        MOV R2,A
        MOV R3,A
        SJMP SQR4
SQR5:   MOV A,R4
        XCH A,R2
        RRC A
        MOV F0,C
        MOV A,R3
        MOV R5,A
        MOV R4,#8
SQR6:   CLR C
        MOV A,R3
        RLC A
        MOV R3,A
        CLR C
        MOV A,R5
        SUBB A,R2
        JB F0,SQR7
        JC SQR8
SQR7:   MOV R5,A
        INC R3
SQR8:   CLR C
        MOV A,R5
        RLC A
        MOV R5,A
        MOV F0,C
        DJNZ R4,SQR6
        MOV A,R3
        MOV @R0,A
        DEC R0
        MOV A,R2
        MOV @R0,A
SQR9:   DEC R0
        CLR OV
        RET
;7
;F[R0]DuoXiangShi=[R0],OV
;PSW,A,B,R2-R7,2FH.0.7;4
FPLN:   POP DPH
        POP DPL
        XCH A,R0
        XCH A,R1
        XCH A,R0
        CLR A
        MOV R2,A
        MOV R3,A
        MOV R4,A
        CLR 2FH.7
PLN1:   CLR A
        MOVC A,@A+DPTR
        MOV C,ACC.7
        MOV 2FH.0,C
        MOV C,ACC.6
        MOV ACC.7,C
        MOV R5,A
        INC DPTR
        CLR A
        MOVC A,@A+DPTR
        MOV R6,A
        INC DPTR
        CLR A
        MOVC A,@A+DPTR
        MOV R7,A
        INC DPTR
        MOV C,2FH.0
        RRC A
        XRL A,2FH
        RLC A
        MOV F0,C
        LCALL AS1
        CLR A
        MOVC A,@A+DPTR
        CJNE A,#40H,PLN2
        XCH A,R0
        XCH A,R1
        XCH A,R0
        LCALL MOV0
        CLR A
        INC DPTR
        JMP @A+DPTR
PLN2:   MOV A,@R1
        XRL A,2FH
        RLC A
        MOV 2FH.7,C
        LCALL MUL0
        SJMP PLN1
;8
;|F[R0]|=[R0]
;A;2
FABS:   MOV A,@R0
        CLR ACC.7
        MOV @R0,A
        RET
;9
;[R0] A=1>+,A=0FFH>-,A=0>0
;PSW,A;2
FSGN:   MOV A,@R0
        MOV C,ACC.7
        JNZ SGN1
        INC R0
        MOV A,@R0
        DEC R0
        JZ SGN2
SGN1:   MOV A,#1
        JNC SGN2
        MOV A,#0FFH
SGN2:   RET
;10
;F[R0]QuZheng

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