+# Opcode Tables for PO=59/63 XO=1---011--
+
+Power ISA v3.1B opcodes extracted from:
+
+* Power ISA v3.1B Appendix D Table 23 sheet 2/3 of 4 page 1391/1392
+* Power ISA v3.1B Appendix D Table 25 sheet 2/3 of 4 page 1399/1400
+
+Parenthesized entries are not part of fptrans.
+
+* Entries whose mnemonic ends in `s` are only in PO=59.
+* Entries whose mnemonic does not end in `s` are only in PO=63.
+* Entries whose mnemonic ends in `(s)` are in both PO=59 and PO=63.
+
+| XO LSB half →<br> XO MSB half ↓ | 01100 | 01101 | 01110 | 01111 |
+|-----------------------------------------------|------------------------------------------------------|---------------------------------------------------|------------------------------------------------------|----------------------------------------------------|
+| 10000 | <small>`10000 01100`</small><br>fcbrt(s) (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) |
+| 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) |
+| 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) |
+| 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) |
+| 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) |
+| 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) |
+| 10110 | <small>`10110 01100`</small><br> | <small>`10110 01101`</small><br> | <small>`10110 01110`</small><br> | <small>`10110 01111`</small><br> |
+| 10111 | <small>`10111 01100`</small><br> | <small>`10111 01101`</small><br> | <small>`10111 01110`</small><br> | <small>`10111 01111`</small><br> |
+
+| XO LSB half →<br> XO MSB half ↓ | 01100 | 01101 | 01110 | 01111 |
+|-----------------------------------------------|----------------------------------------------------|----------------------------------------------------|---------------------------------------------------------|---------------------------------------------------------|
+| 11000 | <small>`11000 01100`</small><br>fexp2m1(s) (draft) | <small>`11000 01101`</small><br>flog2p1(s) (draft) | <small>`11000 01110`</small><br>(cffpro) (draft) | <small>`11000 01111`</small><br>(ctfpr(s)) (draft) |
+| 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) |
+| 11010 | <small>`11010 01100`</small><br>fexp10m1(s) (draft)| <small>`11010 01101`</small><br>flog10p1(s) (draft)| <small>`11010 01110`</small><br>(fcfid(s)) | <small>`11010 01111`</small><br>fmod(s) (draft) |
+| 11011 | <small>`11011 01100`</small><br>fpown(s) (draft) | <small>`11011 01101`</small><br>frootn(s) (draft) | <small>`11011 01110`</small><br> | <small>`11011 01111`</small><br> |
+| 11100 | <small>`11100 01100`</small><br>fexp2(s) (draft) | <small>`11100 01101`</small><br>flog2(s) (draft) | <small>`11100 01110`</small><br>(mffpr(s)) (draft) | <small>`11100 01111`</small><br>(mtfpr(s)) (draft) |
+| 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) |
+| 11110 | <small>`11110 01100`</small><br>fexp10(s) (draft) | <small>`11110 01101`</small><br>flog10(s) (draft) | <small>`11110 01110`</small><br>(fcfidu(s)) | <small>`11110 01111`</small><br>fremainder(s) (draft) |
+| 11111 | <small>`11111 01100`</small><br>fpowr(s) (draft) | <small>`11111 01101`</small><br>fpow(s) (draft) | <small>`11111 01110`</small><br> | <small>`11111 01111`</small><br> |
+
+| XO LSB half →<br> XO MSB half ↓ | 10000 | 10001 | 10010 | 10011 |
+|-----------------------------------------------|-------------------------------------------------|----------------------------------------|-------------------------------------------|----------------------------------------|
+| ////0 | <small>`....0 10000`</small><br>fminmax (draft) | <small>`////0 10001`</small><br> | <small>`////0 10010`</small><br>(fdiv(s)) | <small>`////0 10011`</small><br> |
+| ////1 | <small>`////1 10000`</small><br> | <small>`////1 10001`</small><br> | <small>`////1 10010`</small><br>(fdiv(s)) | <small>`////1 10011`</small><br> |
+
# DRAFT List of 2-arg opcodes
-These are A-Form, recommended Major Opcode 63 for full-width
+These are X-Form, recommended Major Opcode 63 for full-width
and 59 for half-width (ending in s).
-| 0.5|6.10|11.15|16.20| 21.25 | 26.30 |31| name | Form |
-| -- | -- | --- | --- | ----- | ----- |--| ---- | ------- |
-| NN |FRT | FRA | FRB | /// | xxxxx |Rc| trigonometric | A-Form |
-
-As shown in Power ISA 3.1 Book III Appendix D Table 28 p1190
-and Table 23 p1368,
-Major Opcode 63 has room
-for 9 A-Form 5-bit XO instructions, 00001, 01001, 01010, 01011,
-01101, 10000, 10001, 10011, 11011.
-Major Opcode 59 has 11 5-bit XO instructions,
-00000, 00001, 00100, 00101, 00110, 00111,
-10000, 10001, 10011, 10111, 11011.
-
-| opcode | Description | Major 63 | Major 59 |
-| ------ | ---------------- | ---------------- | ----------- |
-| fatan2(s) | atan2 arc tangent | 00001 | 00001 |
-| fatan2pi(s)|atan2 arc tangent / pi | 01001 | 00111 |
-| fpow(s) | x power of y | 10000 | 10000 |
-| fpown(s) | x power of n (n int) | 10001 | 10001 |
-| fpowr(s) | x power of y (x +ve) | 10011 | 10011 |
-| frootn(s) | x power 1/n (n integer)| 11011 | 11011 |
-| fhypot(s) | hypotenuse | 01101 | 10111 |
-
+| 0.5|6.10|11.15|16.20| 21..30 |31| name | Form |
+| -- | -- | --- | --- | ---------- |--| ---- | ------- |
+| NN |FRT | FRA | FRB | 1xxxx011xx |Rc| transcendental | X-Form |
+| NN |FRT | FRA | RB | 1xxxx011xx |Rc| transcendental | X-Form |
+| NN |FRT | FRA | FRB | xxxxx10000 |Rc| transcendental | X-Form |
+
+Recommended 10-bit XO assignments:
+
+| opcode | Description | Major 59 and 63 | bits 16..20 |
+|-----------------|-----------------------------------------|-----------------|-------------|
+| fatan2(s) | atan2 arc tangent | 10010 01110 | FRB |
+| fatan2pi(s) | atan2 arc tangent / π | 10000 01110 | FRB |
+| fpow(s) | x<sup>y</sup> | 11111 01101 | FRB |
+| fpown(s) | x<sup>n</sup> (n ∈ ℤ) | 11011 01100 | RB |
+| fpowr(s) | x<sup>y</sup> (x >= 0) | 11111 01100 | FRB |
+| frootn(s) | <sup>n</sup>√x (n ∈ ℤ) | 11011 01101 | RB |
+| fhypot(s) | √(x<sup>2</sup> + y<sup>2</sup>) | 10100 01110 | FRB |
+| fminmax | min/max | ....0 10000 | FRB |
+| fmod(s) | modulus | 11010 01111 | FRB |
+| fremainder(s) | IEEE 754 remainder | 11110 01111 | FRB |
+
# DRAFT List of 1-arg transcendental opcodes
-These are X-Form, and are identical in Special Registers Altered to `fsqrt`.
+These are X-Form, and are mostly identical in Special Registers Altered to
+`fsqrt` (the exact fp exceptions they can produce differ).
Recommended Major Opcode 63 for full-width and 59 for half-width (ending in s).
-Special Registers Altered:
+Special Registers Altered (FIXME: come up with correct list):
FPRF FR FI FX OX UX XX
VXSNAN VXIMZ VXZDZ
| 0.5|6.10|11.15|16.20| 21..30 |31| name | Form |
| -- | -- | --- | --- | ---------- |--| ---- | ------- |
-| NN |FRT | /// | FRB | 1xxxx01100 |Rc| transcendental | X-Form |
-
-Recommended 10-bit XO with the low 5 LSBs 01100:
-
-| opcode | Description | Major 59 and 63 |
-| ------ | ---------------- | ---------------- |
-| frsqrt(s)| Reciprocal Square-root | 10000 01110 |
-| fcbrt(s) | Cube Root | 10001 01110 |
-| frecip(s)| Reciprocal | 10010 01111 |
-| fexp2m1(s)| power-2 minus 1 | 10100 01110 |
-| flog2p1(s)| log2 plus 1 | 10101 01110 |
-| fexp2(s) | power-of-2 | 10110 01110 |
-| flog2(s) | log2 | 10111 01111 |
-| fexpm1(s)| exponential minus 1 | 11000 01110 |
-| flogp1(s)| log plus 1 | 11001 01110 |
-| fexp(s) | exponential | 11010 01110 |
-| flog(s) | natural log (base e) | 11011 01111 |
-| fexp10m1(s)| power-10 minus 1 | 11100 01110 |
-| flog10p1(s)| log10 plus 1 | 11101 01110 |
-| fexp10(s)| power-of-10 | 11110 01110 |
-| flog10(s)| log base 10 |11111 01111 |
+| NN |FRT | /// | FRB | 1xxxx011xx |Rc| transcendental | X-Form |
+
+Recommended 10-bit XO assignments:
+
+| opcode | Description | Major 59 and 63 |
+|------------|--------------------------|-----------------|
+| frsqrt(s) | 1 / √x | 10010 01100 |
+| fcbrt(s) | ∛x | 10000 01100 |
+| frecip(s) | 1 / x | 10100 01100 |
+| fexp2m1(s) | 2<sup>x</sup> - 1 | 11000 01100 |
+| flog2p1(s) | log<sub>2</sub> (x + 1) | 11000 01101 |
+| fexp2(s) | 2<sup>x</sup> | 11100 01100 |
+| flog2(s) | log<sub>2</sub> x | 11100 01101 |
+| fexpm1(s) | e<sup>x</sup> - 1 | 11001 01100 |
+| flogp1(s) | log<sub>e</sub> (x + 1) | 11001 01101 |
+| fexp(s) | e<sup>x</sup> | 11101 01100 |
+| flog(s) | log<sub>e</sub> x | 11101 01101 |
+| fexp10m1(s)| 10<sup>x</sup> - 1 | 11010 01100 |
+| flog10p1(s)| log<sub>10</sub> (x + 1) | 11010 01101 |
+| fexp10(s) | 10<sup>x</sup> | 11110 01100 |
+| flog10(s) | log<sub>10</sub> x | 11110 01101 |
# DRAFT List of 1-arg trigonometric opcodes
-
-These are X-Form, and are identical in Special Registers Altered to `fsqrt`.
-Recommended Major Opcode 63 for full-width and 59 for half-width (ending in s).
+
+These are X-Form, and are mostly identical in Special Registers Altered to
+`fsqrt` (the exact fp exceptions they can produce differ).
+Recommended Major Opcode 63 for full-width and 59 for half-width (ending in s)
+
Special Registers Altered:
FPRF FR FI FX OX UX XX
| 0.5|6.10|11.15|16.20| 21..30 |31| name | Form |
| -- | -- | --- | --- | ---------- |--| ---- | ------- |
-| NN |FRT | /// | FRB | 10xxx011xx |Rc| trigonometric | X-Form |
-
-Recommended 10-bit XO with the low 5 LSBs 01101 to 01111:
-
-| opcode | Description | Major 59 and 63 |
-| ------ | ---------------- | ---------------- |
-| fsin(s) | sin (radians) | 10000 01101 |
-| fcos(s) | cos (radians) | 10000 01110 |
-| ftan(s) | tan (radians) | 10000 01111 |
-| fasin(s) | arcsin (radians) | 10001 01101 |
-| facos(s) | arccos (radians) | 10001 01110 |
-| fatan(s) | arctan (radians) | 10001 01111 |
-| fsinpi(s) | sin times pi | 10010 01101 |
-| fcospi(s) | cos times pi | 10010 01110 |
-| ftanpi(s) | tan times pi | 10010 01111 |
-| fasinpi(s) | arcsin / pi | 10011 01101 |
-| facospi(s) | arccos / pi | 10011 01110 |
-| fatanpi(s) | arctan / pi | 10011 01111 |
-| fsinh(s) | hyperbolic sin (radians) | 10100 01101 |
-| fcosh(s) | hyperbolic cos (radians) | 10100 01110 |
-| ftanh(s) | hyperbolic tan (radians) | 10100 01111 |
-| fasinh(s) | inverse hyperbolic sin | 10101 01111 |
-| facosh(s) | inverse hyperbolic cos | 10101 01111 |
-| fatanh(s) | inverse hyperbolic tan | 10101 01111 |
+| NN |FRT | /// | FRB | 1xxxx011xx |Rc| trigonometric | X-Form |
+
+Recommended 10-bit XO assignments:
+
+| opcode | Description | Major 59 and 63 |
+|-------------|--------------------------|------------------|
+| fsin(s) | sin (radians) | 10010 01101 |
+| fcos(s) | cos (radians) | 10011 01100 |
+| ftan(s) | tan (radians) | 10011 01101 |
+| fasin(s) | arcsin (radians) | 10010 01111 |
+| facos(s) | arccos (radians) | 10011 01110 |
+| fatan(s) | arctan (radians) | 10011 01111 |
+| fsinpi(s) | sin(π * x) | 10000 01101 |
+| fcospi(s) | cos(π * x) | 10001 01100 |
+| ftanpi(s) | tan(π * x) | 10001 01101 |
+| fasinpi(s) | arcsin(x) / π | 10000 01111 |
+| facospi(s) | arccos(x) / π | 10001 01110 |
+| fatanpi(s) | arctan(x) / π | 10001 01111 |
+| fsinh(s) | hyperbolic sin | 10100 01101 |
+| fcosh(s) | hyperbolic cos | 10101 01100 |
+| ftanh(s) | hyperbolic tan | 10101 01101 |
+| fasinh(s) | inverse hyperbolic sin | 10100 01111 |
+| facosh(s) | inverse hyperbolic cos | 10101 01110 |
+| fatanh(s) | inverse hyperbolic tan | 10101 01111 |
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