+# 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
-and 59 for half-width (ending in s). Major Opcode 63 has room
-for 9 A-Form 5-bit XO instructions, 00001, 01001, 01010, 01011,
-01101, 10000, 10001, 10011, 11011
-
-| opcode | Description | pseudocode | Extension |
-| ------ | ---------------- | ---------------- | ----------- |
-| FATAN2 | atan2 arc tangent | rd = atan2(rs2, rs1) | Zarctrignpi |
-| FATAN2PI | atan2 arc tangent / pi | rd = atan2(rs2, rs1) / pi | Zarctrigpi |
-| FPOW | x power of y | rd = pow(rs1, rs2) | ZftransAdv |
-| FPOWN | x power of n (n int) | rd = pow(rs1, rs2) | ZftransAdv |
-| FPOWR | x power of y (x +ve) | rd = exp(rs1 log(rs2)) | ZftransAdv |
-| FROOTN | x power 1/n (n integer)| rd = pow(rs1, 1/rs2) | ZftransAdv |
-| FHYPOT | hypotenuse | rd = sqrt(rs1^2 + rs2^2) | ZftransAdv |
-
-## List of 1-arg transcendental opcodes
-
-| opcode | Description | pseudocode | Extension |
-| ------ | ---------------- | ---------------- | ----------- |
-| FRSQRT | Reciprocal Square-root | rd = sqrt(rs1) | Zfrsqrt |
-| FCBRT | Cube Root | rd = pow(rs1, 1.0 / 3) | ZftransAdv |
-| FRECIP | Reciprocal | rd = 1.0 / rs1 | Zftrans |
-| FEXP2 | power-of-2 | rd = pow(2, rs1) | Zftrans |
-| FLOG2 | log2 | rd = log(2. rs1) | Zftrans |
-| FEXPM1 | exponential minus 1 | rd = pow(e, rs1) - 1.0 | ZftransExt |
-| FLOG1P | log plus 1 | rd = log(e, 1 + rs1) | ZftransExt |
-| FEXP | exponential | rd = pow(e, rs1) | ZftransExt |
-| FLOG | natural log (base e) | rd = log(e, rs1) | ZftransExt |
-| FEXP10 | power-of-10 | rd = pow(10, rs1) | ZftransExt |
-| FLOG10 | log base 10 | rd = log(10, rs1) | ZftransExt |
-
-## List of 1-arg trigonometric opcodes
-
-| opcode | Description | pseudo-code | Extension |
-| ------ | ---------------- | ---------------- | ----------- |
-| FSIN | sin (radians) | rd = sin(rs1) | Ztrignpi |
-| FCOS | cos (radians) | rd = cos(rs1) | Ztrignpi |
-| FTAN | tan (radians) | rd = tan(rs1) | Ztrignpi |
-| FASIN | arcsin (radians) | rd = asin(rs1) | Zarctrignpi |
-| FACOS | arccos (radians) | rd = acos(rs1) | Zarctrignpi |
-| FATAN | arctan (radians) | rd = atan(rs1) | Zarctrignpi |
-| FSINPI | sin times pi | rd = sin(pi * rs1) | Ztrigpi |
-| FCOSPI | cos times pi | rd = cos(pi * rs1) | Ztrigpi |
-| FTANPI | tan times pi | rd = tan(pi * rs1) | Ztrigpi |
-| FASINPI | arcsin / pi | rd = asin(rs1) / pi | Zarctrigpi |
-| FACOSPI | arccos / pi | rd = acos(rs1) / pi | Zarctrigpi |
-| FATANPI | arctan / pi | rd = atan(rs1) / pi | Zarctrigpi |
-| FSINH | hyperbolic sin (radians) | rd = sinh(rs1) | Zfhyp |
-| FCOSH | hyperbolic cos (radians) | rd = cosh(rs1) | Zfhyp |
-| FTANH | hyperbolic tan (radians) | rd = tanh(rs1) | Zfhyp |
-| FASINH | inverse hyperbolic sin | rd = asinh(rs1) | Zfhyp |
-| FACOSH | inverse hyperbolic cos | rd = acosh(rs1) | Zfhyp |
-| FATANH | inverse hyperbolic tan | rd = atanh(rs1) | Zfhyp |
+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..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 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 (FIXME: come up with correct list):
+
+ FPRF FR FI FX OX UX XX
+ VXSNAN VXIMZ VXZDZ
+ CR1 (if Rc=1)
+
+| 0.5|6.10|11.15|16.20| 21..30 |31| name | Form |
+| -- | -- | --- | --- | ---------- |--| ---- | ------- |
+| 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 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
+ VXSNAN VXIMZ VXZDZ
+ CR1 (if Rc=1)
+
+| 0.5|6.10|11.15|16.20| 21..30 |31| name | Form |
+| -- | -- | --- | --- | ---------- |--| ---- | ------- |
+| 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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