naming cleanup in math routines
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@@ -170,54 +170,54 @@ For the current status of the low memory location implementation andd usage chec
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### Math package
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Floating point mathematical routines - not official, but well known and broadly used.
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Floating point mathematical routines - not official, but well known and broadly used. Note: there is an awful mess regarding naming (sometimes same name references different routines in different sources), so a custom naming scheme was applied.
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<br />
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| Address | Name | Status | Remarks |
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| :-------: | :----------- | :------: | :------------------------------------------------: |
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| `$B1AA` | `FACINX` | NOT DONE | convert FAC1 to 16-bit signed integer |
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| `$B391` | `GIVAYF` | NOT DONE | 16-bit signed integer to FAC1 |
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| `$B7B5` | `STRVAL` | NOT DONE | imports string to FAC1 |
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| `$B850` | `FSUB` | PARTIAL | needs `FSUBT` |
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| `$B853` | `FSUBT` | NOT DONE | subtract FAC1 from FAC2 |
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| `$B867` | `FADD` | PARTIAL | needs `FADDT` |
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| `$B86A` | `FADDT` | NOT DONE | add FAC2 to FAC1 |
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| `$B8FE` | `NORMAL` | PARTIAL | not tested yet |
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| `$B9EA` | `LOG` | NOT DONE | natural logarigthm |
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| `$BA28` | `FMUL` | PARTIAL | needs `FMULT` |
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| `$BA2B` | `FMULT` | NOT DONE | multiplies FAC1 by FAC2 |
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| `$BA8C` | `CONUPK` | PARTIAL | not fully tested yet |
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| `$BAE2` | `MUL10` | NOT DONE | multiply FAC1 by 10 |
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| `$BAFE` | `DIV10` | NOT DONE | divide FAC1 by 10, result is always positive |
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| `$BB0F` | `FDIV` | PARTIAL | needs `FDIVT` |
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| `$BB12` | `FDIVT` | NOT DONE | divide FAC2 by FAC1, ignores sign |
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| `$BBA2` | `MOVFM` | PARTIAL | not fully tested yet |
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| `$BBD4` | `MOVFM2` | NOT DONE | copy FAC1 to memory location, rounds if asked |
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| `$BBFC` | `MOVEF` | NOT DONE | copy FAC2 to FAC1 |
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| `$BC0C` | `MOVAF` | PARTIAL | not fully tested |
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| `$BC0F` | `MOVFA` | DONE | |
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| `$BC1B` | `ROUND` | PARTIAL | not tested |
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| `$BC2B` | `SIGN` | NOT DONE | evaluate FAC1 sign |
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| `$BC39` | `SGN` | NOT DONE | evaluate FAC1 sign, to FAC1 |
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| `$BC58` | `ABS` | NOT DONE | absolute value |
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| `$BC5B` | `FCOMP` | NOT DONE | compare FAC1 with RAM location |
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| `$BC9B` | `QINT` | NOT DONE | convert FAC1 to 32 bit signed integer |
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| `$BCCC` | `INT` | NOT DONE | rounds away the decimal to make an integer |
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| `$BCF3` | `FIN` | NOT DONE | imports string to FAC1, ignores spaces |
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| `$BDDD` | `FOUT` | NOT DONE | outputs FAC1 to string at $0100 |
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| `$BF71` | `SQR` | NOT DONE | square root of FAC1 |
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| `$BF74` | `SQR2` | NOT DONE | square root of FAC2 |
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| `$BF78` | `FPWR` | NOT DONE | set FAC1 as RAM raised to the power of FAC1 |
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| `$BF7B` | `FPWRT` | NOT DONE | set FAC1 as FAC2 raised to the power of FAC1 |
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| `$BFB4` | `NEGOP` | DONE | |
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| `$BFED` | `EXP` | NOT DONE | exponential function, e raised to FAC1 power |
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| `$E043` | `POLY1` | NOT DONE | evaluate polynomial with odd powers only |
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| `$E059` | `POLY2` | NOT DONE | evaluate polynomial with odd and even powers |
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| `$E264` | `COS` | NOT DONE | cosine of FAC1 in radians |
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| `$E26B` | `SIN` | NOT DONE | sine of FAC1 in radians |
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| `$E2B4` | `TAN` | NOT DONE | tangent of FAC1 in radians |
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| `$E30E` | `ATN` | NOT DONE | arc tangent of FAC1 |
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| Address | Name | Status | Remarks |
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| :-------: | :----------------- | :------: | :------------------------------------------------: |
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| `$B1AA` | `FACINX` | NOT DONE | convert FAC1 to 16-bit signed integer |
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| `$B391` | `GIVAYF` | NOT DONE | 16-bit signed integer to FAC1 |
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| `$B7B5` | `STRVAL` | NOT DONE | imports string to FAC1 |
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| `$B850` | `sub_MEM_FAC1` | PARTIAL | needs `sub_FAC2_FAC1` |
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| `$B853` | `sub_FAC2_FAC1` | PARTIAL | needs `add_FAC2_FAC1` |
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| `$B867` | `add_MEM_FAC1` | PARTIAL | needs `add_FAC2_FAC1` |
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| `$B86A` | `add_FAC2_FAC1` | NOT DONE | |
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| `$B8FE` | `normal_FAC1` | PARTIAL | not tested yet |
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| `$B9EA` | `log_FAC1` | NOT DONE | |
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| `$BA28` | `mul_MEM_FAC1` | PARTIAL | needs `mul_FAC2_FAC1` |
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| `$BA2B` | `mul_FAC2_FAC1` | NOT DONE | |
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| `$BA8C` | `mov_MEM_FAC2` | PARTIAL | not fully tested yet |
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| `$BAE2` | `mul10_FAC1` | NOT DONE | |
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| `$BAFE` | `div10_FAC1_p` | NOT DONE | |
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| `$BB0F` | `div_MEM_FAC1` | PARTIAL | needs `div_FAC2_FAC1` |
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| `$BB12` | `div_FAC2_FAC1` | NOT DONE | |
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| `$BBA2` | `mov_MEM_FAC1` | PARTIAL | not fully tested yet |
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| `$BBD4` | `MOVFM2` | NOT DONE | copy FAC1 to memory location, rounds if asked |
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| `$BBFC` | `MOVEF` | NOT DONE | copy FAC2 to FAC1 |
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| `$BC0C` | `mov_r_FAC1_FAC2` | PARTIAL | not fully tested |
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| `$BC0F` | `mov_FAC1_FAC2` | DONE | |
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| `$BC1B` | `round_FAC1` | PARTIAL | not tested |
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| `$BC2B` | `sgn_FAC1_A` | NOT DONE | |
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| `$BC39` | `sgn_FAC1` | NOT DONE | |
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| `$BC58` | `abs_FAC1` | NOT DONE | |
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| `$BC5B` | `FCOMP` | NOT DONE | compare FAC1 with RAM location |
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| `$BC9B` | `QINT` | NOT DONE | convert FAC1 to 32 bit signed integer |
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| `$BCCC` | `int_FAC1` | NOT DONE | |
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| `$BCF3` | `FIN` | NOT DONE | imports string to FAC1, ignores spaces |
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| `$BDDD` | `FOUT` | NOT DONE | outputs FAC1 to string at $0100 |
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| `$BF71` | `sqr_FAC1` | NOT DONE | |
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| `$BF74` | `sqr_FAC2` | NOT DONE | |
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| `$BF78` | `FPWR` | NOT DONE | set FAC1 as RAM raised to the power of FAC1 |
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| `$BF7B` | `FPWRT` | NOT DONE | set FAC1 as FAC2 raised to the power of FAC1 |
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| `$BFB4` | `toggle_sign_FAC1` | DONE | |
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| `$BFED` | `exp_FAC1` | NOT DONE | |
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| `$E043` | `poly1_FAC1` | NOT DONE | |
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| `$E059` | `poly2_FAC1` | NOT DONE | |
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| `$E264` | `cos_FAC1` | NOT DONE | |
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| `$E26B` | `sin_FAC1` | NOT DONE | |
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| `$E2B4` | `tan_FAC1` | NOT DONE | |
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| `$E30E` | `atn_FAC1` | NOT DONE | |
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<br />
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@@ -19,5 +19,5 @@
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// XXX provide implementation
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FADDT:
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add_FAC2_FAC1:
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STUB_IMPLEMENTATION()
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@@ -14,5 +14,5 @@
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// XXX provide implementation
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LOG:
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log_FAC1:
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STUB_IMPLEMENTATION()
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@@ -19,5 +19,5 @@
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// XXX provide implementation
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FMULT:
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mul_FAC2_FAC1:
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STUB_IMPLEMENTATION()
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@@ -13,5 +13,5 @@
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// XXX provide implementation
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MUL10:
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mul10_FAC1:
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STUB_IMPLEMENTATION()
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@@ -17,5 +17,5 @@
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// XXX provide implementation
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DIV10:
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div10_FAC1_p:
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STUB_IMPLEMENTATION()
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@@ -19,5 +19,5 @@
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// XXX provide implementation
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FDIVT:
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div_FAC2_FAC1:
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STUB_IMPLEMENTATION()
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@@ -16,5 +16,5 @@
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// XXX provide implementation
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SIGN:
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sgn_FAC1_A:
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STUB_IMPLEMENTATION()
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@@ -16,5 +16,5 @@
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// XXX provide implementation
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SGN:
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sgn_FAC1:
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STUB_IMPLEMENTATION()
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@@ -13,5 +13,5 @@
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// XXX provide implementation
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ABS:
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abs_FAC1:
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STUB_IMPLEMENTATION()
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@@ -13,5 +13,5 @@
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// XXX provide implementation
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INT:
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int_FAC1:
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STUB_IMPLEMENTATION()
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@@ -16,5 +16,5 @@
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// XXX provide implementation
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SQR:
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sqr_FAC1:
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STUB_IMPLEMENTATION()
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@@ -16,5 +16,5 @@
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// XXX provide implementation
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SQR2:
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sqr_FAC2:
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STUB_IMPLEMENTATION()
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@@ -14,5 +14,5 @@
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// XXX provide implementation
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EXP:
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exp_FAC1:
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STUB_IMPLEMENTATION()
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@@ -23,5 +23,5 @@
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// XXX provide implementation
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POLY1:
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poly1_FAC1:
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STUB_IMPLEMENTATION()
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@@ -23,5 +23,5 @@
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// XXX provide implementation
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POLY2:
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poly2_FAC1:
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STUB_IMPLEMENTATION()
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File renamed without changes.
@@ -13,5 +13,5 @@
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// XXX provide implementation
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SIN:
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sin_FAC1:
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STUB_IMPLEMENTATION()
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@@ -13,5 +13,5 @@
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// XXX provide implementation
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TAN:
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tan_FAC1:
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STUB_IMPLEMENTATION()
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@@ -13,5 +13,5 @@
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// XXX provide implementation
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ATN:
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atn_FAC1:
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STUB_IMPLEMENTATION()
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@@ -3,7 +3,7 @@
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// #LAYOUT# * * #IGNORE
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//
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// Math package - add RAM to FAC1
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// Math package - subtract FAC1 from memory variable
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//
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// Input:
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// - .A - address low byte
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@@ -15,8 +15,8 @@
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// - https://codebase64.org/doku.php?id=base:kernal_floating_point_mathematics
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//
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FADD:
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sub_MEM_FAC1:
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jsr CONUPK
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jsr mov_MEM_FAC2
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// FALLTROUGH to FADDT
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// FALLTROUGH to sub_FAC2_FAC1
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File renamed without changes.
@@ -5,19 +5,20 @@
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//
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// Math package - subtract FAC1 from FAC2
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//
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// Input:
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// - .A - must load FAC1 exponent ($61) beforehand to set the zero flag
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//
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// Note:
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// - load FAC2 after FAC1, or mimic the Kernals sign comparison (XXX do we need it?)
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//
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// See also:
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// - [CM64] Computes Mapping the Commodore 64 - page 112
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// - https://www.c64-wiki.com/wiki/Floating_point_arithmetic
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// - https://codebase64.org/doku.php?id=base:kernal_floating_point_mathematics
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//
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// XXX provide implementation
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// XXX test this
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FSUBT:
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STUB_IMPLEMENTATION()
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sub_FAC2_FAC1:
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// Toggle FAC1 sign
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lda FAC1_sign
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eor #$FF
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sta FAC1_sign
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// Perform addition
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jmp add_FAC2_FAC1
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@@ -3,7 +3,7 @@
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// #LAYOUT# * * #IGNORE
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//
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// Math package - subtract FAC1 from RAM
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// Math package - add memory variable to FAC1
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//
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// Input:
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// - .A - address low byte
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@@ -15,8 +15,8 @@
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// - https://codebase64.org/doku.php?id=base:kernal_floating_point_mathematics
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//
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FSUB:
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add_MEM_FAC1:
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jsr CONUPK
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jsr mov_MEM_FAC2
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// FALLTROUGH to FSUBT
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// FALLTROUGH to add_FAC2_FAC1
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@@ -4,4 +4,4 @@
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// Just a compatibility jump - our routine is longer than original one
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jmp NORMAL
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jmp normal_FAC1
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@@ -18,8 +18,8 @@
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// - https://codebase64.org/doku.php?id=base:kernal_floating_point_mathematics
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//
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FMUL:
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mul_MEM_FAC1:
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jsr CONUPK
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jsr mov_MEM_FAC2
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// FALLTROUGH to FMULT
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// FALLTROUGH to mul_FAC2_FAC1
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@@ -4,4 +4,4 @@
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// Just a compatibility jump - our routine is longer than original one
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jmp CONUPK
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jmp mov_MEM_FAC2
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@@ -15,8 +15,8 @@
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// - https://codebase64.org/doku.php?id=base:kernal_floating_point_mathematics
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//
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FDIV:
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div_MEM_FAC1:
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jsr CONUPK
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jsr mov_MEM_FAC2
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// FALLTROUGH to FDIVT
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// FALLTROUGH to div_FAC2_FAC1
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@@ -4,4 +4,4 @@
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// Just a compatibility jump - our routine is longer than original one
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jmp MOVFM
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jmp mov_MEM_FAC1
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@@ -14,9 +14,9 @@
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// - https://www.c64-wiki.com/wiki/Floating_point_arithmetic
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//
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MOVAF:
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movr_FAC1_FAC2:
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// First round FAC1
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jsr ROUND
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jsr round_FAC1
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// FALLTROUGH to MOVFA
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// FALLTROUGH to mov_FAC1_FAC2
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@@ -0,0 +1,7 @@
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// #LAYOUT# STD * #TAKE
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// #LAYOUT# * BASIC_0 #TAKE
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// #LAYOUT# * * #IGNORE
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// Just a compatibility jump - our routine is longer than original one
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jmp mov_FAC1_FAC2
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@@ -1,7 +0,0 @@
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// #LAYOUT# STD * #TAKE
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// #LAYOUT# * BASIC_0 #TAKE
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// #LAYOUT# * * #IGNORE
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// Just a compatibility jump - our routine is longer than original one
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jmp ROUND
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@@ -4,4 +4,5 @@
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// Just a compatibility jump - our routine is longer than original one
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jmp MOVFA
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jmp round_FAC1
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@@ -10,7 +10,7 @@
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// - https://www.c64-wiki.com/wiki/Floating_point_arithmetic
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//
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NEGOP:
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toggle_sign_FAC1:
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lda FAC1_exponent
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beq !+ // do not toggle the sign if value is 0
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@@ -21,7 +21,7 @@
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// - https://www.c64-wiki.com/wiki/Floating_point_arithmetic
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//
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MOVFA:
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mov_FAC1_FAC2:
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// Copy the exponent
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lda FAC1_exponent
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@@ -21,7 +21,7 @@
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// XXX test this
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MOVFM:
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mov_MEM_FAC1:
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// Checked in the available documentation:
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// - https://www.c64-wiki.com/wiki/Floating_point_arithmetic
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@@ -3,7 +3,7 @@
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// #LAYOUT# * * #IGNORE
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//
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// Math package - fetch FAC2 from RAM location
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// Math package - fetch FAC2 from memory location
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//
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// Input:
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// - .A - address low byte
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@@ -24,7 +24,7 @@
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// XXX test this
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CONUPK:
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mov_MEM_FAC2:
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// Checked in the available documentation:
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// - https://www.c64-wiki.com/wiki/Floating_point_arithmetic
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@@ -13,20 +13,20 @@
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// XXX test this
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NORMAL:
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normal_FAC1:
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lda FAC1_exponent
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beq normal_end // branch if our float is 0
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beq normal_FAC1_end // branch if our float is 0
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lda FAC1_mantissa+3
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beq normal_by_byte // branch if we can move the whole byte
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beq normal_FAC1_by_byte // branch if we can move the whole byte
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and #$80
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bne normal_end // branch if already normalized
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bne normal_FAC1_end // branch if already normalized
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// FALLTROUGH
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|
||||
normal_by_bit:
|
||||
normal_FAC1_by_bit:
|
||||
|
||||
// First check the current exponent
|
||||
|
||||
@@ -49,10 +49,10 @@ normal_by_bit:
|
||||
rol FAC1_mantissa+1
|
||||
rol FAC1_mantissa+0
|
||||
|
||||
bcc NORMAL // branch if next iteration needed
|
||||
bcc normal_FAC1 // branch if next iteration needed
|
||||
rts
|
||||
|
||||
normal_by_byte:
|
||||
normal_FAC1_by_byte:
|
||||
|
||||
// First decrement the exponent by 8, but not below 0
|
||||
|
||||
@@ -63,7 +63,7 @@ normal_by_byte:
|
||||
lda #$00
|
||||
!:
|
||||
sta FAC1_exponent
|
||||
beq normal_end // branch if our float reached 0
|
||||
beq normal_FAC1_end // branch if our float reached 0
|
||||
|
||||
// Now multiply the mantissa by 8 by moving the whole bytes
|
||||
|
||||
@@ -87,7 +87,7 @@ normal_by_byte:
|
||||
ora FAC1_mantissa+2
|
||||
ora FAC1_mantissa+3
|
||||
|
||||
bne NORMAL // not 0 - branch to next iteration
|
||||
bne normal_FAC1 // not 0 - branch to next iteration
|
||||
|
||||
// Our mantissa reached 0 - mark exponent as 0 and finish
|
||||
|
||||
@@ -95,6 +95,6 @@ normal_by_byte:
|
||||
|
||||
// FALLTROUGH
|
||||
|
||||
normal_end:
|
||||
normal_FAC1_end:
|
||||
|
||||
rts
|
||||
@@ -12,15 +12,15 @@
|
||||
|
||||
// XXX test this
|
||||
|
||||
ROUND:
|
||||
round_FAC1:
|
||||
|
||||
// If number is 0, do not do anything
|
||||
|
||||
lda FAC1_exponent
|
||||
beq round_done
|
||||
beq round_FAC1_done
|
||||
|
||||
lda FACOV
|
||||
bpl round_zero_FACOV // branch if it is enough to clear FACOV
|
||||
bpl round_FAC1_zero_FACOV // branch if it is enough to clear FACOV
|
||||
|
||||
// Increment the 4 bytes of matissa
|
||||
|
||||
@@ -28,20 +28,20 @@ ROUND:
|
||||
// we could have used INW on 65C02 and above, the code would have been smaller!
|
||||
|
||||
inc FAC1_mantissa+3
|
||||
bne round_zero_FACOV
|
||||
bne round_FAC1_zero_FACOV
|
||||
inc FAC1_mantissa+2
|
||||
bne round_zero_FACOV
|
||||
bne round_FAC1_zero_FACOV
|
||||
inc FAC1_mantissa+1
|
||||
bne round_zero_FACOV
|
||||
bne round_FAC1_zero_FACOV
|
||||
inc FAC1_mantissa+0
|
||||
bne round_zero_FACOV
|
||||
bne round_FAC1_zero_FACOV
|
||||
|
||||
// If we are here, it means mantissa is 0; put it to minimum allowed and increment exponent
|
||||
|
||||
lda #$80
|
||||
sta FAC1_mantissa+0
|
||||
inc FAC1_exponent
|
||||
bne round_zero_FACOV
|
||||
bne round_FAC1_zero_FACOV
|
||||
|
||||
// If we are here, it means the exponent wrapped around to $00; put it back to $FF
|
||||
|
||||
@@ -49,13 +49,13 @@ ROUND:
|
||||
|
||||
// FALLTROUGH
|
||||
|
||||
round_zero_FACOV:
|
||||
round_FAC1_zero_FACOV:
|
||||
|
||||
lda #$00
|
||||
sta FACOV
|
||||
|
||||
// FALLTROUGH
|
||||
|
||||
round_done:
|
||||
round_FAC1_done:
|
||||
|
||||
rts
|
||||
Reference in new issue
Block a user