openpower/power_trans_ops.mdwn

   1 # Opcode Tables for PO=59/63 XO=1---011--
   2
   3 Power ISA v3.1B opcodes extracted from:
   4 * Power ISA v3.1B Appendix D Table 23 sheet 2 of 4 page 1391
   5 * Power ISA v3.1B Appendix D Table 25 sheet 2 of 4 page 1399
   6
   7 Parenthesized entries are not part of fptrans.
   8
   9 Entries whose mnemonic ends in `s` are only in PO=59.
  10 Entries whose mnemonic doesn't end in `s` are only in PO=63.
  11 Entries whose mnemonic ends in `(s)` are in both PO=59 and PO=63.
  12
  13 | XO LSB half &#x2192;<br> XO MSB half &#x2193; | 01100                                             | 01101                                             | 01110                                               | 01111                                              |
  14 |-----------------------------------------------|---------------------------------------------------|---------------------------------------------------|-----------------------------------------------------|----------------------------------------------------|
  15 | 10000                                         | <small>`10000 01100`</small><br>(ffadds) (draft)  | <small>`10000 01101`</small><br>fsinpi(s) (draft) | <small>`10000 01110`</small><br>fatan2pi(s) (draft) | <small>`10000 01111`</small><br>fasinpi(s) (draft) |
  16 | 10001                                         | <small>`10001 01100`</small><br>fcospi(s) (draft) | <small>`10001 01101`</small><br>ftanpi(s) (draft) | <small>`10001 01110`</small><br>facospi(s) (draft)  | <small>`10001 01111`</small><br>fatanpi(s) (draft) |
  17 | 10010                                         | <small>`10010 01100`</small><br>frsqrt(s) (draft) | <small>`10010 01101`</small><br>fsin(s) (draft)   | <small>`10010 01110`</small><br>fatan2(s) (draft)   | <small>`10010 01111`</small><br>fasin(s) (draft)   |
  18 | 10011                                         | <small>`10011 01100`</small><br>fcos(s) (draft)   | <small>`10011 01101`</small><br>ftan(s) (draft)   | <small>`10011 01110`</small><br>facos(s) (draft)    | <small>`10011 01111`</small><br>fatan(s) (draft)   |
  19 | 10100                                         | <small>`10100 01100`</small><br>frecip(s) (draft) | <small>`10100 01101`</small><br>fsinh(s) (draft)  | <small>`10100 01110`</small><br>fhypot(s) (draft)   | <small>`10100 01111`</small><br>fasinh(s) (draft)  |
  20 | 10101                                         | <small>`10101 01100`</small><br>fcosh(s) (draft)  | <small>`10101 01101`</small><br>ftanh(s) (draft)  | <small>`10101 01110`</small><br>facosh(s) (draft)   | <small>`10101 01111`</small><br>fatanh(s) (draft)  |
  21 | 10110                                         | <small>`10110 01100`</small><br>fcbrt(s) (draft)  |                                                   |                                                     |                                                    |
  22 | 10111                                         |                                                   |                                                   |                                                     |                                                    |
  23
  24 | XO LSB half &#x2192;<br> XO MSB half &#x2193; | 01100                                              | 01101                                              | 01110                                               | 01111                                              |
  25 |-----------------------------------------------|----------------------------------------------------|----------------------------------------------------|-----------------------------------------------------|----------------------------------------------------|
  26 | 11000                                         | <small>`11000 01100`</small><br>fexp2m1(s) (draft) | <small>`11000 01101`</small><br>flog2p1(s) (draft) |                                                     |                                                    |
  27 | 11001                                         | <small>`11001 01100`</small><br>fexpm1(s) (draft)  | <small>`11001 01101`</small><br>flogp1(s) (draft)  | <small>`11001 01110`</small><br>(fctid)             | <small>`11001 01111`</small><br>(fctidz)           |
  28 | 11010                                         | <small>`11010 01100`</small><br>fexp10m1(s) (draft)| <small>`11010 01101`</small><br>flog10p1(s) (draft)| <small>`11010 01110`</small><br>(fcfid(s))          |                                                    |
  29 | 11011                                         | <small>`11011 01100`</small><br>fpown(s) (draft)   | <small>`11011 01101`</small><br>frootn(s) (draft)  |                                                     |                                                    |
  30 | 11100                                         | <small>`11100 01100`</small><br>fexp2(s) (draft)   | <small>`11100 01101`</small><br>flog2(s) (draft)   |                                                     |                                                    |
  31 | 11101                                         | <small>`11101 01100`</small><br>fexp(s) (draft)    | <small>`11101 01101`</small><br>flog(s) (draft)    | <small>`11101 01110`</small><br>(fctidu)            | <small>`11101 01111`</small><br>(fctiduz)          |
  32 | 11110                                         | <small>`11110 01100`</small><br>fexp10(s) (draft)  | <small>`11110 01101`</small><br>flog10(s) (draft)  | <small>`11110 01110`</small><br>(fcfidu(s))         |                                                    |
  33 | 11111                                         | <small>`11111 01100`</small><br>fpowr(s) (draft)   | <small>`11111 01101`</small><br>fpow(s) (draft)    |                                                     |                                                    |
  34
  35 # DRAFT List of 2-arg opcodes
  36
  37 These are X-Form, recommended Major Opcode 63 for full-width
  38 and 59 for half-width (ending in s).
  39
  40 | 0.5|6.10|11.15|16.20| 21..30      |31| name           |  Form   |
  41 | -- | -- | --- | --- | ----------  |--| ----           | ------- |
  42 | NN |FRT | FRA | FRB | 1xxxx011xx  |Rc| transcendental | X-Form  |
  43 | NN |FRT | FRA | RB  | 1xxxx011xx  |Rc| transcendental | X-Form  |
  44
  45 Recommended 10-bit XO assignments:
  46
  47 | opcode     | Description                             | Major 59 and 63 | bits 16..20 |
  48 |------------|-----------------------------------------|-----------------|-------------|
  49 | fatan2(s)  | atan2 arc tangent                       | 10010 01110     | FRB         |
  50 | fatan2pi(s)| atan2 arc tangent / &pi;                | 10000 01110     | FRB         |
  51 | fpow(s)    | x<sup>y</sup>                           | 11111 01101     | FRB         |
  52 | fpown(s)   | x<sup>n</sup> (n &in; &#x2124;)         | 11011 01100     | RB          |
  53 | fpowr(s)   | x<sup>y</sup> (x >= 0)                  | 11111 01100     | FRB         |
  54 | frootn(s)  | <sup>n</sup>&#x221A;x (n &in; &#x2124;) | 11011 01101     | RB          |
  55 | fhypot(s)  | &#x221A;(x<sup>2</sup> + y<sup>2</sup>) | 10100 01110     | FRB         |
  56
  57 # DRAFT List of 1-arg transcendental opcodes
  58
  59 These are X-Form, and are mostly identical in Special Registers Altered to
  60 `fsqrt` (the exact fp exceptions they can produce differ).
  61 Recommended Major Opcode 63 for full-width and 59 for half-width (ending in s).
  62
  63 Special Registers Altered (FIXME: come up with correct list):
  64
  65     FPRF FR FI FX OX UX XX
  66     VXSNAN VXIMZ VXZDZ
  67     CR1                    (if Rc=1)
  68
  69 | 0.5|6.10|11.15|16.20| 21..30      |31| name      |  Form   |
  70 | -- | -- | --- | --- | ----------  |--| ----      | ------- |
  71 | NN |FRT | /// | FRB  | 1xxxx011xx |Rc| transcendental | X-Form  |
  72
  73 Recommended 10-bit XO assignments:
  74
  75 | opcode     | Description              | Major 59 and 63 |
  76 |------------|--------------------------|-----------------|
  77 | frsqrt(s)  | 1 / &#x221A;x            | 10010 01100     |
  78 | fcbrt(s)   | &#x221B;x                | 10110 01100     |
  79 | frecip(s)  | 1 / x                    | 10100 01100     |
  80 | fexp2m1(s) | 2<sup>x</sup> - 1        | 11000 01100     |
  81 | flog2p1(s) | log<sub>2</sub> (x + 1)  | 11000 01101     |
  82 | fexp2(s)   | 2<sup>x</sup>            | 11100 01100     |
  83 | flog2(s)   | log<sub>2</sub> x        | 11100 01101     |
  84 | fexpm1(s)  | e<sup>x</sup> - 1        | 11001 01100     |
  85 | flogp1(s)  | log<sub>e</sub> (x + 1)  | 11001 01101     |
  86 | fexp(s)    | e<sup>x</sup>            | 11101 01100     |
  87 | flog(s)    | log<sub>e</sub> x        | 11101 01101     |
  88 | fexp10m1(s)| 10<sup>x</sup> - 1       | 11010 01100     |
  89 | flog10p1(s)| log<sub>10</sub> (x + 1) | 11010 01101     |
  90 | fexp10(s)  | 10<sup>x</sup>           | 11110 01100     |
  91 | flog10(s)  | log<sub>10</sub> x       | 11110 01101     |
  92
  93 # DRAFT List of 1-arg trigonometric opcodes
  94
  95 These are X-Form, and are mostly identical in Special Registers Altered to
  96 `fsqrt` (the exact fp exceptions they can produce differ).
  97 Recommended Major Opcode 63 for full-width and 59 for half-width (ending in s)
  98
  99 Special Registers Altered:
 100
 101     FPRF FR FI FX OX UX XX
 102     VXSNAN VXIMZ VXZDZ
 103     CR1                    (if Rc=1)
 104
 105 | 0.5|6.10|11.15|16.20| 21..30      |31| name      |  Form   |
 106 | -- | -- | --- | --- | ----------  |--| ----      | ------- |
 107 | NN |FRT | /// | FRB  | 1xxxx011xx |Rc| trigonometric | X-Form  |
 108
 109 Recommended 10-bit XO assignments:
 110
 111 | opcode      | Description              | Major 59 and 63  |
 112 |-------------|--------------------------|------------------|
 113 | fsin(s)     | sin (radians)            | 10010 01101      |
 114 | fcos(s)     | cos (radians)            | 10011 01100      |
 115 | ftan(s)     | tan (radians)            | 10011 01101      |
 116 | fasin(s)    | arcsin (radians)         | 10010 01111      |
 117 | facos(s)    | arccos (radians)         | 10011 01110      |
 118 | fatan(s)    | arctan (radians)         | 10011 01111      |
 119 | fsinpi(s)   | sin(&pi; * x)            | 10000 01101      |
 120 | fcospi(s)   | cos(&pi; * x)            | 10001 01100      |
 121 | ftanpi(s)   | tan(&pi; * x)            | 10001 01101      |
 122 | fasinpi(s)  | arcsin(x) / &pi;         | 10000 01111      |
 123 | facospi(s)  | arccos(x) / &pi;         | 10001 01110      |
 124 | fatanpi(s)  | arctan(x) / &pi;         | 10001 01111      |
 125 | fsinh(s)    | hyperbolic sin           | 10100 01101      |
 126 | fcosh(s)    | hyperbolic cos           | 10101 01100      |
 127 | ftanh(s)    | hyperbolic tan           | 10101 01101      |
 128 | fasinh(s)   | inverse hyperbolic sin   | 10100 01111      |
 129 | facosh(s)   | inverse hyperbolic cos   | 10101 01110      |
 130 | fatanh(s)   | inverse hyperbolic tan   | 10101 01111      |