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annotate src/number.s @ 87:3bfd978ddb39
Make corrections in floating point parsing.
author | William Astle <lost@l-w.ca> |
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date | Mon, 16 Oct 2023 16:48:46 -0600 |
parents | de42b8f77bc2 |
children | a8467c798450 |
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1 *pragmapush list |
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2 *pragma list |
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3 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; |
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4 ; Arithmetic package |
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5 ; |
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6 ; This section contains routines that handle floating point and integer arithmetic. It mostly delegates to int.s and |
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7 ; fps.s. |
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8 ; |
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9 ; Most routines take a pointer to a value accumulator in X. Some take two pointers with the second in U. |
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10 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; |
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11 ; Match operands for a numeric calculation. This works as follows: |
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12 ; |
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13 ; * If both operands are the same, ensure the type is numeric and return |
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14 ; * If one operand is floating point, convert the other to floating point, as long as it is numeric |
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15 ; * If one or both operands are not numeric, raise a type mismatch |
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16 ; The operands are in (X) and (U) |
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17 val_matchtypes ldb val.type,x ; get the type of first argument |
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18 cmpb #valtype_int ; is it integer? |
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19 beq val_matchtypes0 ; brif so |
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20 cmpb #valtype_float ; is it floating point? |
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21 beq val_matchtypes1 ; brif so |
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22 TMERROR ldb #err_tm ; raise a type mismatch |
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23 jmp ERROR |
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24 val_matchtypes0 ldb val.type,u ; get type of second operand |
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25 cmpb #valtype_int ; is it integer? |
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26 bne val_matchtypes2 ; brif not |
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27 val_matchtypes3 rts ; both types int - we're good so return |
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28 val_matchtypes2 cmpb #valtype_float ; is it floating point? |
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29 bne TMERROR ; brif not - raise error |
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30 pshs x ; save X which may be clobbered |
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31 leay ,x ; point to input operand as destination for conversion |
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32 ; jsr fps_fromint32 ; convert first argument to floating point |
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33 puls x,pc ; restore second operand pointer and return |
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34 val_matchtypes1 ldb val.type,u ; get second argument type |
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35 cmpb #valtype_float ; is it floating point? |
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36 beq val_matchtypes3 ; brif so - we're good |
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37 cmpb #valtype_int ; is it integer? |
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38 bne TMERROR ; brif not - invalid type combination |
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39 pshs x ; save X which mill be clobbered |
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40 leax ,u ; convert (U) to floating point |
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41 leay ,u |
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42 ; jsr fps_fromint32 |
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43 puls x,pc ; restore argument pointer and return |
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44 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; |
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45 ; Addition and subtraction of values; must enter with values of matching types and the result type already set |
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46 ; to the correct type. |
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47 ; |
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48 ; Calculates (X) + (U) -> (Y) (addition) |
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49 ; Calculates (X) - (U) -> (Y) (subtraction) |
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50 val_add ldb val.type,x ; get type of left operand |
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51 cmpb valtype_int ; is it integer? |
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52 lbeq int32_add ; brif so - do integer addition |
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53 cmpb #valtype_float ; floating point? |
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54 lbeq fps_add ; brif so - do floating point addition |
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55 jmp TMERROR ; we have a type we don't understand |
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56 val_sub ldb val.type,x ; get type of left operand |
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57 cmpb valtype_int ; is it integer? |
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58 lbeq int32_sub ; brif so - do integer addition |
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59 cmpb #valtype_float ; floating point? |
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60 lbeq fps_sub ; brif so - do floating point addition |
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61 jmp TMERROR ; we have a type we don't understand |
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62 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; |
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63 ; Multiplication |
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64 ; |
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65 ; Calculates (X) × (U) -> (Y) |
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66 ; |
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67 ; The result might overflow the integer type. In this case, an actual overflow error will occur. |
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68 val_mul ldb val.type,x ; get type of left operand |
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69 cmpb #valtype_int ; integer? |
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70 lbeq int32_mul ; brif so - do integer multiplication |
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71 cmpb #valtype_float ; is it float? |
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72 lbeq fps_mul ; brif so - do floating point multiplication |
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73 jmp TMERROR ; have an unhandled type - bail on it |
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74 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; |
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75 ; Division |
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76 ; |
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77 ; Calculates (X) ÷ (U) -> (Y) |
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78 ; |
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79 ; The integer operation simply truncates the result ("rounds toward zero") |
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80 val_div ldb val.type,x ; get type of left operand |
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81 cmpb #valtype_int ; integer? |
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82 lbeq int32_div ; brif so - do integerdivision |
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83 cmpb #valtype_float ; floating point? |
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84 lbeq fps_div ; brif so - do floating point division |
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85 jmp TMERROR ; unsupported type |
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86 if 0 |
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87 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; |
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88 ; Modulus - note that this is a division operator returning effectively the remainder, not an absolute value as is |
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89 ; sometimes meant by "modulus". |
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90 ; |
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91 ; Calculates (X) <MOD> (U) -> (Y) |
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92 ; |
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93 ; Note: modulus will have the same sign as the quotient so that (U) * [(X) / (U)] + [(X) MOD (U)] gives (X) (integer) |
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94 ; Note2: the modulus can be calculated on floating point values in which case it will represent the fraction part |
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95 ; of the quotient multiplied by the divisor, again with the same sign as the quotient |
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96 val_mod ldb val.type,x ; get type of left operand |
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97 cmpb #valtype_int ; integer? |
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98 lbeq int32_mod ; do integer modulus |
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99 cmpb #valtype_float ; floating point? |
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100 lbeq fps_mod ; floating point modulus |
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101 jmp TMERROR ; unsupported type |
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102 endc |
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103 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; |
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104 ; Parse a number to either an integer or a floating point value and return the result in val0 |
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105 ; |
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106 ; This works by first detecting any sign indicators and handling those. Multiple prefix signs are supported. Note that |
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107 ; in the regular expression evaluation sequence, unary minus and plus will be handled by the expression evaluator so |
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108 ; in that case, the number evaluator would not need to care about those. However, in the case of an arbitrary string |
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109 ; fed into the evaluator, those must be handled. Note that there is no need to handle tokenized sign indicators because |
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110 ; the only place where they would be tokenized is in a proper expression. |
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111 ; |
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112 ; Once leading signs are handled, any base specifiers or other modifiers are handled. If none of those intercept the |
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113 ; parsing, the regular number parsing continues as follows. |
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114 ; |
85
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115 ; 1. Read a sequence of digits. The digits are stored in backed BCD form in the significand of fpa0. An arbitrary number |
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116 ; of leading zeroes will be skipped. A count of significant digits is maintained while reading digits as is the |
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117 ; position of a decimal point if one is encountered. Once one digit more than the maximum possible precision of any |
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118 ; supported number type is read, subsequent digits will not be stored, but the counters will still be updated. |
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119 ; 2. Any subsequent "E" or "e" followed by either a positive or negative decimal exponent is read, with the sign |
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120 ; indicator being optional. |
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121 ; 3. The decimal offset calculated in (1) is adjusted by the exponent read in (2) if any. |
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122 ; 4. Range checks are completed as follows: |
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123 ; 4a. If the calculated decimal exponent is beyond the supported range of any floating point or integer type, raise |
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124 ; an overflow error. |
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125 ; 4b. If the number is an integer in the range of -0x80000000 to 0x7fffffff, it is converted to a signed binary integer |
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126 ; and the result is returned |
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127 ; 4b. Set the exponent correctly then normalize the result to val0 |
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128 val_parsenum lbeq SNERROR ; brif no numberr to parse |
85
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129 ldd zero ; zero out digit accumulator |
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130 std fpa0+fpa.sig |
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131 std fpa0+fpa.sig+2 |
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132 std fpa0+fpa.sig+4 |
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133 std fpa0+fpa.sig+6 |
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134 std fpa0+fpa.sig+8 |
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135 sta fpa0+fpa.sign ; set number sign to positive |
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136 std fpaextra+4 ; clear out decimal exponent and sign |
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137 std fpaextra ; set digit count and decimal flag to zero and no decimal |
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138 sta fpaextra+2 ; set decimal position to 0 - unused if decimal not seen |
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139 ldx #fpa0+fpa.sig ; point to digit storage location |
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140 lda #0xf0 ; set digit mask |
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141 sta fpaextra+3 |
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142 jsr curchar ; get back current input |
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143 bra val_parsenum1 |
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144 val_parsenum0 jsr nextchar ; fetch next input |
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145 val_parsenum1 bcs val_parsenum3 ; brif digit - short ciruit other checks |
87
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146 cmpa #'. ; does it start with a decimal? |
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147 beq val_parsenum5 ; brif so |
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148 cmpa #'+ ; unary plus? |
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149 beq val_parsenum0 ; brif so - it's a no-op but supported for symmetry with unary minus |
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150 cmpa #'- ; negative? |
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151 bne val_parsenum5 ; brif not |
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152 com fpa0+fpa.sign ; invert the sign |
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153 bra val_parsenum0 ; eat the sign and see if there's more signs |
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154 val_parsenum2 jsr nextchar ; fetch next character in number |
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155 bcc val_parsenum5 ; brif not a digit |
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156 val_parsenum3 ldb fpaextra ; is it within the digit count? |
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157 cmpb #11 ; (11 digits holds both 10 digit fp and 32 bit integer) |
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158 bhs val_parsenum4 ; brif so - don't convert it |
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159 suba #0x30 ; binary-ize the digit |
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160 bne val_parsenum3a ; brif not zero |
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161 tstb ; no digits? |
87
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Make corrections in floating point parsing.
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162 bne val_parsenum3a ; brif not - we've seen something significant |
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163 ldb fpaextra+1 ; decimal seen? |
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164 bne val_parsenum2 ; brif not - skip leading zeroes |
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165 val_parsenum3a ldb #0x11 ; put in both digit spots |
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166 mul |
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167 andb fpaextra+3 ; only keep the one we need |
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168 orb ,x ; merge with existing digit |
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169 stb ,x ; put in digit location |
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170 com fpaextra+3 ; flip digit position mask |
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171 bpl val_parsenum4 ; brif not moving to new location |
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172 leax 1,x ; move to new digit storage location |
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173 val_parsenum4 inc fpaextra ; bump digit count |
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174 lbmi OVERROR ; brif it overflowed - we can't parse more than 127 digits! |
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175 ldb fpaextra+2 ; get decimal position counter |
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176 subb fpaextra+1 ; subtract decimal flag (will be 0xff or -1 if decimal seen) |
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Implmement BCD floating point and update number parsing and printing
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177 stb fpaextra+2 |
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178 bra val_parsenum2 ; go handle another digit or whatever |
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179 val_parsenum5 cmpa #'. ; decimal? |
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180 bne val_parsenum6 ; brif not |
87
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Make corrections in floating point parsing.
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181 com fpaextra+1 ; flag decimal seen |
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182 lbeq SNERROR ; brif already seen a decimal point - syntax error |
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183 bra val_parsenum2 ; go parse more digits |
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184 val_parsenum6 cmpa #'E ; decimal exponent? |
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185 beq val_parsenum7 ; brif so |
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186 cmpa #'e ; lower case exponent indicator? |
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187 bne val_parsenum11 ; brif not - we have the end of the number here |
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188 val_parsenum7 jsr nextchar ; eat exponent indicator |
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189 bcs val_parsenum9 ; brif digit |
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190 cmpa #'+ ; positive? |
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191 beq val_parsenum8 ; brif no |
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192 cmpa #'- ; negative? |
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193 lbne SNERROR ; brif not positive, negative, or digit |
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Implmement BCD floating point and update number parsing and printing
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194 com fpaextra+5 ; make sign of exponent negative |
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Implmement BCD floating point and update number parsing and printing
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195 val_parsenum8 jsr nextchar ; eat exponent sign/get next digit |
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196 bcc val_parsenum10 ; brif not a digit - done with number |
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197 val_parsenum9 suba #0x30 ; binary-ize the digit |
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198 sta fpaextra+6 ; save digit value |
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199 ldb fpaextra+4 ; get calculated exponent |
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200 lda #10 ; multiply by 10 |
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84
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changeset
|
201 mul |
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changeset
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202 lbcs OVERROR ; brif decimal exponent overlows ±127 - we just don't handle that |
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203 addb fpaextra+6 ; add digit in |
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204 lbmi OVERROR ; same as above - make sure exponent in range |
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changeset
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205 stb fpaextra+4 ; save new decimal exponent |
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Implmement BCD floating point and update number parsing and printing
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changeset
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206 bra val_parsenum8 ; handle another digit |
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changeset
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207 val_parsenum10 lda fpaextra+5 ; get sign of exponent |
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208 bpl val_parsenum11 ; brif positive |
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changeset
|
209 neg fpaextra+4 ; negate resulting exponent |
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Implmement BCD floating point and update number parsing and printing
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changeset
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210 val_parsenum11 ldb fpaextra ; get number of digits provided |
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Implmement BCD floating point and update number parsing and printing
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changeset
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211 subb fpaextra+2 ; subtract out count of fractional digits giving whole number digits |
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Implmement BCD floating point and update number parsing and printing
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changeset
|
212 addb fpaextra+4 ; add in decimal exponent adjustment |
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Implmement BCD floating point and update number parsing and printing
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changeset
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213 stb fpa0+fpa.exp ; set result exponent |
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214 ; Normalization is not required here though rounding might be. Rounding will be handled during floating point return. |
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215 ; By ensuring there were no leading zeroes converted, the result is already pre-normalized without losing precision due |
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216 ; to an aribtrary number of leading zeroes. |
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changeset
|
217 cmpb fpaextra ; is the exponent less than the number of digits? |
87
3bfd978ddb39
Make corrections in floating point parsing.
William Astle <lost@l-w.ca>
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86
diff
changeset
|
218 blt val_parsenum13 ; brif so - return floating point (signed comparison!) |
85
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Implmement BCD floating point and update number parsing and printing
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diff
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219 cmpb #10 ; is exponent in the range for a binary integer? |
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Implmement BCD floating point and update number parsing and printing
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diff
changeset
|
220 bgt val_parsenum13 ; brif not - return floating point |
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221 ; Compare with 2147483648, the maximum *negative* value; note that this is a floating point comparison because we |
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Implmement BCD floating point and update number parsing and printing
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diff
changeset
|
222 ; already normalized everything above and it handles exponents properly |
86
de42b8f77bc2
Fix problems related to parsing numbers (exponent, integers)
William Astle <lost@l-w.ca>
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223 lda fpa0+fpa.exp ; compare exponents (unbiased), exponent adjusted for above code |
de42b8f77bc2
Fix problems related to parsing numbers (exponent, integers)
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224 cmpa #10 |
85
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225 bne val_parsenum12 |
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226 ldx fpa0+fpa.sig ; compare top of significand |
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227 cmpx #0x2147 |
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228 bne val_parsenum12 |
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229 ldx fpa0+fpa.sig+2 ; compare middle of significand |
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230 cmpx #0x4836 |
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231 bne val_parsenum12 |
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232 ldx fpa0+fpa.sig+4 ; compare bottom of significand plus extra digits |
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233 cmpx #0x4800 |
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234 val_parsenum12 bgt val_parsenum13 ; brif too big for integer |
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235 blt val_parsenum14 ; brif it fits in a positive integer |
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236 ldb fpa0+fpa.sign ; negative? |
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237 bpl val_parsenum14 ; brif not - doesn't fit in integer |
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238 val_parsenum13 lda #valtype_float ; set return value to floating point |
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239 sta val0+val.type |
86
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Fix problems related to parsing numbers (exponent, integers)
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240 lda fpa0+fpa.exp ; put the bias into the exponent but subtract one for leading digit |
87
3bfd978ddb39
Make corrections in floating point parsing.
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241 adda #64 |
85
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242 sta fpa0+fpa.exp |
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243 ldy #val0+val.value ; normalize/round and return the result |
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244 jmp fps_normalize |
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245 val_parsenum14 lda #valtype_int ; set value type to integer |
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246 sta val0+val.type |
86
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Fix problems related to parsing numbers (exponent, integers)
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247 ldb #10 ; exponent needed for decimal point to the right of significand |
85
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248 subb fpa0+fpa.exp ; number of digit shifts needed to denormalize |
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249 beq val_parsenum16 ; brif already denormalized |
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250 lslb ; do 4 shifts per digit |
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251 lslb |
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252 val_parsenum15 lsr fpa0+fpa.sig ; shift a digit right |
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253 ror fpa0+fpa.sig+1 |
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254 ror fpa0+fpa.sig+2 |
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255 ror fpa0+fpa.sig+3 |
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256 ror fpa0+fpa.sig+4 |
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257 decb ; done all shifts? |
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258 bne val_parsenum15 |
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259 ; Now convert BCD digit sequence in fpa0 significand to binary value in val0 |
86
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260 val_parsenum16 ldb #32 ; 40 bit shifts needed for whole significand |
85
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261 stb fpa0+fpa.extra ; use extra precision byte as counter |
86
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262 val_parsenum17 lsr fpa0+fpa.sig ; shift a bit into the binary result |
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Fix problems related to parsing numbers (exponent, integers)
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263 ror fpa0+fpa.sig+1 |
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264 ror fpa0+fpa.sig+2 |
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Fix problems related to parsing numbers (exponent, integers)
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265 ror fpa0+fpa.sig+3 |
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Fix problems related to parsing numbers (exponent, integers)
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266 ror fpa0+fpa.sig+4 |
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Fix problems related to parsing numbers (exponent, integers)
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267 ror val0+val.int |
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Fix problems related to parsing numbers (exponent, integers)
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268 ror val0+val.int+1 |
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269 ror val0+val.int+2 |
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270 ror val0+val.int+3 |
85
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271 ldx #fpa0+fpa.sig ; point to BCD digits |
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Implmement BCD floating point and update number parsing and printing
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272 val_parsenum18 lda ,x ; get byte to check |
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Implmement BCD floating point and update number parsing and printing
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273 beq val_parsenum20 ; short circuit check if digits are 0 |
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Implmement BCD floating point and update number parsing and printing
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274 anda #0x88 ; keep bit 3 of each digit; adjustment on >= 8 |
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Implmement BCD floating point and update number parsing and printing
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275 lsra ; shift over and mulply by adjustment factor |
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276 lsra |
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277 lsra |
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278 ldb #3 ; the adjustment is a subtraction by 3 |
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Implmement BCD floating point and update number parsing and printing
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279 mul |
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280 negb ; now subtract from digit |
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Implmement BCD floating point and update number parsing and printing
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281 addb ,x |
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282 stb ,x+ |
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283 val_parsenum18a cmpx #fpa0+fpa.sig+5 ; done all 5 bytes? |
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Implmement BCD floating point and update number parsing and printing
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284 blo val_parsenum18 ; brif not |
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Implmement BCD floating point and update number parsing and printing
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285 dec fpa0+fpa.extra ; done all bits? |
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Implmement BCD floating point and update number parsing and printing
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286 bne val_parsenum17 ; brif not |
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Implmement BCD floating point and update number parsing and printing
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287 ldb fpa0+fpa.sign ; do we want negative? |
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Implmement BCD floating point and update number parsing and printing
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288 bpl val_parsenum19 ; brif not |
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Implmement BCD floating point and update number parsing and printing
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289 ldd zero ; negate the value through subtracting from 0 |
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Implmement BCD floating point and update number parsing and printing
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290 subd val0+val.int+2 |
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Implmement BCD floating point and update number parsing and printing
William Astle <lost@l-w.ca>
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84
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291 std val0+val.int+2 |
84
f959c92bc329
New first pass implementation of number parsing, untested
William Astle <lost@l-w.ca>
parents:
80
diff
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292 ldd zero |
85
663d8e77b579
Implmement BCD floating point and update number parsing and printing
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293 sbcb val0+val.int+1 |
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Implmement BCD floating point and update number parsing and printing
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294 sbca val0+val.int |
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Implmement BCD floating point and update number parsing and printing
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295 std val0+val.int |
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Implmement BCD floating point and update number parsing and printing
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296 val_parsenum19 rts |
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Implmement BCD floating point and update number parsing and printing
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297 val_parsenum20 leax 1,x ; move to next digit |
663d8e77b579
Implmement BCD floating point and update number parsing and printing
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changeset
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298 bra val_parsenum18a ; go back to mainline |
76
eb2681108660
Split some code into separate files for easier management (4)
William Astle <lost@l-w.ca>
parents:
diff
changeset
|
299 *pragmapop list |