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1485 | alone | 1 | #ifndef included_f32toa |
2 | #define included_f32toa |
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3 | #include "pushpop.z80" |
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4 | #include "f32_pow10_LUT.z80" |
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5 | #include "f32mul.z80" |
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6 | #include "mov4.z80" |
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7 | #include "common_str.z80" |
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8 | |||
9 | ;#define EXTERNAL_FORMAT_LEN ;Uses an external reference to get the format length |
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10 | ;#define EXTERNAL_FORMAT_LEN fmtDigits ;Use for TI-OS |
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11 | |||
12 | ; Set a hard upper limit to the number of digits used |
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13 | ; This routine uses at most MAX_FORMAT_LEN+8 bytes of space |
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14 | #ifndef MAX_FORMAT_LEN |
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15 | #define MAX_FORMAT_LEN 8 |
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16 | #endif |
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17 | |||
18 | ; Set the default number of digits used. If EXTERNAL_FORMAT_LEN is defined and |
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19 | ; that value is 0 or greater than MAX_FORMAT_LEN, then FORMAT_LEN is used. |
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20 | #ifndef FORMAT_LEN |
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21 | #define FORMAT_LEN 6 |
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22 | #endif |
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23 | |||
24 | ; set the char to use for `e` notation |
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25 | #ifndef TOK_ENG |
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26 | #define TOK_ENG 'e' |
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27 | #endif |
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28 | |||
29 | ; set the char to use for negatives |
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30 | #ifndef TOK_NEG |
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31 | #define TOK_NEG '-' |
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32 | #endif |
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33 | |||
34 | ; set the char to use for decimal points |
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35 | #ifndef TOK_DECIMAL |
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36 | #define TOK_DECIMAL '.' |
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37 | #endif |
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38 | |||
39 | |||
40 | #define f32toa_x scrap |
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41 | |||
42 | f32toa: |
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43 | ;Inputs: |
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44 | ; HL points to the input float |
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45 | ; BC points to where the string gets written. |
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46 | call pushpop |
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47 | ld e,(hl) |
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48 | inc hl |
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49 | ld d,(hl) |
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50 | inc hl |
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51 | ld (f32toa_x),de |
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52 | ld a,(hl) |
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53 | ld e,a |
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54 | add a,a |
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55 | inc hl |
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56 | ld a,(hl) |
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57 | ld d,a |
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58 | adc a,a |
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59 | ld h,b |
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60 | ld l,c |
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61 | inc a |
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62 | jp z,f32toa_return_infnan |
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63 | res 7,d |
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64 | ld (f32toa_x+2),de |
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65 | jr nc,+_ |
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66 | ld (hl),TOK_NEG ;negative sign |
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67 | inc hl |
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68 | _: |
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69 | ;DEBC is the float, A is a copy of the exponent, HL points to the next byte to write |
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70 | dec a |
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71 | jp z,f32toa_return_0 |
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72 | |||
73 | push hl |
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74 | |||
75 | ld (hl),'0' ; pad one more '0' to make room for rounding (i.e. 9.999999=>10.000000) |
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76 | inc hl |
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77 | |||
78 | push hl |
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79 | |||
80 | ; approximate the base-10 exponent as floor((A-127)*log10(2)) |
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81 | ; which is approximately floor((A-127)*77/256) |
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82 | ld h,0 |
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83 | ld l,a |
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84 | ld b,h |
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85 | ld c,a |
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86 | add hl,hl ;2 |
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87 | add hl,hl ;4 |
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88 | add hl,hl ;8 |
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89 | add hl,bc ;9 |
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90 | add hl,hl ;18 |
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91 | add hl,bc ;19 |
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92 | add hl,hl ;38 |
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93 | add hl,hl ;76 |
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94 | add hl,bc ;77 |
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95 | ; now subtract 127*77 from HL and keep the upper 8 bits of the result |
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96 | ld a,205 |
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97 | add a,l |
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98 | ld a,217 |
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99 | adc a,h |
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100 | ; A is the approximate base-10 exponent |
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101 | ;f32toa_x needs to be multipled by 10^-A |
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102 | push af ; save the exponent |
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103 | call nz,f32toa_adjust |
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104 | ;the float is now on [1, 20) |
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105 | ;Let's no work on the float as a 0.24 fixed-point value |
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106 | ;we'll first need to extract the integer component |
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107 | ld hl,(f32toa_x) |
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108 | ld de,(f32toa_x+2) |
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109 | ld a,e |
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110 | rlca |
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111 | scf |
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112 | rra |
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113 | ld e,a |
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114 | ld a,d |
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115 | adc a,a |
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116 | sub 126 |
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117 | ; A is how many bits to shift out of HLE |
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118 | ld b,a |
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119 | xor a |
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120 | f32toa_first_digit_loop: |
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121 | add hl,hl |
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122 | rl e |
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123 | rla |
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124 | djnz f32toa_first_digit_loop |
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125 | |||
126 | ; A is the first digit |
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127 | pop bc ; B is the base-10 exponent |
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128 | ex (sp),hl |
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129 | ld d,0 |
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130 | cp 10 |
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131 | jr c,f32toa_first_digit_fixed |
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132 | inc d |
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133 | dec hl |
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134 | ld (hl),'1' |
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135 | inc hl |
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136 | sub 10 |
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137 | f32toa_first_digit_fixed: |
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138 | add a,'0' |
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139 | ld (hl),a |
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140 | |||
141 | ld a,b |
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142 | ex (sp),hl |
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143 | pop bc |
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144 | ;A is the base-10 exponent |
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145 | ;BC is where to write the digits |
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146 | ;EHL is the 0.24 fixed-point number |
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147 | ;D is 1 if we have 2 digits already, else D is 0 |
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148 | push af |
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149 | call f32toa_digits |
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150 | |||
151 | ;BC points to the last digit. We'll want to round! |
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152 | ld h,b |
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153 | ld l,c |
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154 | ld a,(hl) |
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155 | ld (hl),0 |
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156 | add a,5 |
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157 | jr f32toa_round_start |
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158 | f32toa_round_loop: |
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159 | dec hl |
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160 | inc (hl) |
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161 | ld a,(hl) |
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162 | f32toa_round_start: |
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163 | cp '9'+1 |
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164 | jr nc,f32toa_round_loop |
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165 | ; the string is rounded |
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166 | inc hl |
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167 | ld (hl),0 |
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168 | |||
169 | ; pop the exponent off the stack and sign-extend |
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170 | pop af |
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171 | ld e,a |
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172 | add a,a |
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173 | sbc a,a |
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174 | ld d,a |
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175 | pop hl |
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176 | ; check if rounding caused overflow; increment exponent if so |
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177 | ld a,(hl) |
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178 | cp '0' |
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179 | jp z,formatstr |
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180 | inc de |
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181 | jp formatstr |
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182 | |||
183 | |||
184 | f32toa_digits: |
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185 | ; How many digits do we need? |
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186 | #ifdef EXTERNAL_FORMAT_LEN |
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187 | ; we define the number of digits externally |
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188 | ld a,(EXTERNAL_FORMAT_LEN) |
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189 | |||
190 | ; if A is 0, use FORMAT_LEN |
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191 | or a |
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192 | jr nz,$+4 |
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193 | ld a,FORMAT_LEN |
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194 | |||
195 | ; if A > MAX_FORMAT_LEN, set A to MAX_FORMAT_LEN |
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196 | cp MAX_FORMAT_LEN |
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197 | jr c,$+4 |
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198 | ld a,MAX_FORMAT_LEN |
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199 | |||
200 | ; the first digit is written. |
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201 | ; if we only wanted 1 digit, then A is 0 and we should stop |
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202 | or a |
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203 | ret z |
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204 | #else |
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205 | ; the number of digits is not declared externally |
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206 | ; the first digit is written. |
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207 | ; if we only wanted 1 digit, then A is 0 and we should stop |
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208 | #if FORMAT_LEN < 2 |
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209 | ret |
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210 | #else |
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211 | ld a,FORMAT_LEN |
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212 | #endif |
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213 | #endif |
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214 | |||
215 | ; we want D more digits (an extra one for rounding) |
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216 | f32toa_digits_loop: |
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217 | push af |
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218 | call f32toa_next_digit |
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219 | pop af |
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220 | f32toa_digits_start: |
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221 | dec a |
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222 | jr nz,f32toa_digits_loop |
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223 | ret |
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224 | |||
225 | f32toa_next_digit: |
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226 | ; multiply 0.EBC by 10 |
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227 | push bc |
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228 | ld b,h |
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229 | ld c,l |
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230 | ld a,e |
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231 | ld d,6 ;overflow digit. We shift d 3 times, that 6 turns into a 0x30 == '0' |
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232 | |||
233 | add hl,hl |
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234 | adc a,a |
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235 | rl d |
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236 | |||
237 | add hl,hl |
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238 | adc a,a |
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239 | rl d |
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240 | |||
241 | add hl,bc |
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242 | adc a,e |
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243 | jr nc,$+3 |
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244 | inc d |
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245 | |||
246 | add hl,hl |
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247 | adc a,a |
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248 | ld e,a |
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249 | ld a,d |
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250 | adc a,a |
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251 | |||
252 | pop bc |
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253 | inc bc |
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254 | ld (bc),a |
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255 | ret |
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256 | |||
257 | |||
258 | f32toa_adjust: |
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259 | ld hl,f32_pown10_LUT-4 |
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260 | jr c,f32toa_pow10LUT_mul |
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261 | neg |
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262 | ld hl,f32_pow10_LUT-4 |
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263 | f32toa_pow10LUT_mul: |
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264 | ;HL points to the first entry of the LUT |
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265 | ;(f32toa_x) is the accumulator |
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266 | ;bottom 6 bits of A control which terms to multiply by |
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267 | ld de,f32toa_x |
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268 | ld b,d |
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269 | ld c,e |
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270 | ; process f32toa_pow10LUT_mul_sub 6 times |
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271 | call f32toa_pow10LUT_mul_sub3 |
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272 | f32toa_pow10LUT_mul_sub3: |
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273 | call f32toa_pow10LUT_mul_sub |
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274 | call f32toa_pow10LUT_mul_sub |
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275 | f32toa_pow10LUT_mul_sub: |
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276 | inc hl |
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277 | inc hl |
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278 | inc hl |
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279 | inc hl |
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280 | rra |
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281 | jp c,f32mul |
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282 | ret |
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283 | |||
284 | f32toa_return_0: |
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285 | ld (hl),'0' |
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286 | inc hl |
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287 | ld (hl),0 |
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288 | ret |
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289 | |||
290 | f32toa_return_infnan: |
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291 | rl b ; save the sign |
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292 | ld a,e |
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293 | add a,a |
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294 | ld de,(f32toa_x) |
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295 | or d |
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296 | or e |
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297 | ex de,hl |
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298 | ld hl,str_NaN |
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299 | jr nz,f32toa_return |
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300 | ld hl,str_inf |
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301 | rr b |
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302 | jr nc,f32toa_return |
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303 | ld a,'-' |
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304 | ld (de),a |
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305 | inc de |
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306 | f32toa_return: |
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307 | jp mov4 |
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308 | |||
309 | #include "formatstr.z80" |
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310 | #endif |