F Extension

Implemented Version

2.2.0

Versions

2.2.0
Ratification date

2019-12

Changes
  • Define NaN-boxing scheme, changed definition of FMAX and FMIN

Synopsis

This chapter describes the standard instruction-set extension for single-precision floating-point, which is named "F" and adds single-precision floating-point computational instructions compliant with the IEEE 754-2008 arithmetic standard cite:[ieee754-2008]. The F extension depends on the "Zicsr" extension for control and status register access.

F Register State

The F extension adds 32 floating-point registers, f0-f31, each 32 bits wide, and a floating-point control and status register fcsr, which contains the operating mode and exception status of the floating-point unit. This additional state is shown in RISC-V standard F extension single-precision floating-point state. We use the term FLEN to describe the width of the floating-point registers in the RISC-V ISA, and FLEN=32 for the F single-precision floating-point extension. Most floating-point instructions operate on values in the floating-point register file. Floating-point load and store instructions transfer floating-point values between registers and memory. Instructions to transfer values to and from the integer register file are also provided.

We considered a unified register file for both integer and floating-point values as this simplifies software register allocation and calling conventions, and reduces total user state. However, a split organization increases the total number of registers accessible with a given instruction width, simplifies provision of enough regfile ports for wide superscalar issue, supports decoupled floating-point-unit architectures, and simplifies use of internal floating-point encoding techniques. Compiler support and calling conventions for split register file architectures are well understood, and using dirty bits on floating-point register file state can reduce context-switch overhead.

Table 1. RISC-V standard F extension single-precision floating-point state
FLEN-1 0

f0

f1

f2

f3

f4

f5

f6

f7

f8

f9

f10

f11

f12

f13

f14

f15

f16

f17

f18

f19

f20

f21

f22

f23

f24

f25

f26

f27

f28

f29

f30

f31

FLEN

31

0

fcsr

32

Floating-Point Control and Status Register

The floating-point control and status register, fcsr, is a RISC-V control and status register (CSR). It is a 32-bit read/write register that selects the dynamic rounding mode for floating-point arithmetic operations and holds the accrued exception flags, as shown in Floating-Point Control and Status Register.

Floating-point control and status register

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The fcsr register can be read and written with the FRCSR and FSCSR instructions, which are assembler pseudoinstructions built on the underlying CSR access instructions. FRCSR reads fcsr by copying it into integer register rd. FSCSR swaps the value in fcsr by copying the original value into integer register rd, and then writing a new value obtained from integer register rs1 into fcsr.

The fields within the fcsr can also be accessed individually through different CSR addresses, and separate assembler pseudoinstructions are defined for these accesses. The FRRM instruction reads the Rounding Mode field frm (fcsr bits 7—​5) and copies it into the least-significant three bits of integer register rd, with zero in all other bits. FSRM swaps the value in frm by copying the original value into integer register rd, and then writing a new value obtained from the three least-significant bits of integer register rs1 into frm. FRFLAGS and FSFLAGS are defined analogously for the Accrued Exception Flags field fflags (fcsr bits 4—​0).

Bits 31—​8 of the fcsr are reserved for other standard extensions. If these extensions are not present, implementations shall ignore writes to these bits and supply a zero value when read. Standard software should preserve the contents of these bits.

Floating-point operations use either a static rounding mode encoded in the instruction, or a dynamic rounding mode held in frm. Rounding modes are encoded as shown in Rounding mode encoding.. A value of 111 in the instruction’s rm field selects the dynamic rounding mode held in frm. The behavior of floating-point instructions that depend on rounding mode when executed with a reserved rounding mode is reserved, including both static reserved rounding modes (101-110) and dynamic reserved rounding modes (101-111). Some instructions, including widening conversions, have the rm field but are nevertheless mathematically unaffected by the rounding mode; software should set their rm field to RNE (000) but implementations must treat the rm field as usual (in particular, with regard to decoding legal vs. reserved encodings).

Table 2. Rounding mode encoding.
Rounding Mode Mnemonic Meaning

000

RNE

Round to Nearest, ties to Even

001

RTZ

Round towards Zero

010

RDN

Round Down (towards \(-\infty\))

011

RUP

Round Up (towards \(+\infty\))

100

RMM

Round to Nearest, ties to Max Magnitude

101

Reserved for future use.

110

Reserved for future use.

111

DYN

In instruction’s rm field, selects dynamic rounding mode; In Rounding Mode register, reserved.

The C99 language standard effectively mandates the provision of a dynamic rounding mode register. In typical implementations, writes to the dynamic rounding mode CSR state will serialize the pipeline. Static rounding modes are used to implement specialized arithmetic operations that often have to switch frequently between different rounding modes.

The ratified version of the F spec mandated that an illegal-instruction exception was raised when an instruction was executed with a reserved dynamic rounding mode. This has been weakened to reserved, which matches the behavior of static rounding-mode instructions. Raising an illegal-instruction exception is still valid behavior when encountering a reserved encoding, so implementations compatible with the ratified spec are compatible with the weakened spec.

The accrued exception flags indicate the exception conditions that have arisen on any floating-point arithmetic instruction since the field was last reset by software, as shown in Accrued exception flag encoding.. The base RISC-V ISA does not support generating a trap on the setting of a floating-point exception flag.

Table 3. Accrued exception flag encoding.
Flag Mnemonic Flag Meaning

NV

Invalid Operation

DZ

Divide by Zero

OF

Overflow

UF

Underflow

NX

Inexact

As allowed by the standard, we do not support traps on floating-point exceptions in the F extension, but instead require explicit checks of the flags in software. We considered adding branches controlled directly by the contents of the floating-point accrued exception flags, but ultimately chose to omit these instructions to keep the ISA simple.

NaN Generation and Propagation

Except when otherwise stated, if the result of a floating-point operation is NaN, it is the canonical NaN. The canonical NaN has a positive sign and all significand bits clear except the MSB, a.k.a. the quiet bit. For single-precision floating-point, this corresponds to the pattern 0x7fc00000.

We considered propagating NaN payloads, as is recommended by the standard, but this decision would have increased hardware cost. Moreover, since this feature is optional in the standard, it cannot be used in portable code.

Implementors are free to provide a NaN payload propagation scheme as a nonstandard extension enabled by a nonstandard operating mode. However, the canonical NaN scheme described above must always be supported and should be the default mode.


We require implementations to return the standard-mandated default values in the case of exceptional conditions, without any further intervention on the part of user-level software (unlike the Alpha ISA floating-point trap barriers). We believe full hardware handling of exceptional cases will become more common, and so wish to avoid complicating the user-level ISA to optimize other approaches. Implementations can always trap to machine-mode software handlers to provide exceptional default values.

Subnormal Arithmetic

Operations on subnormal numbers are handled in accordance with the IEEE 754-2008 standard.

In the parlance of the IEEE standard, tininess is detected after rounding.

Detecting tininess after rounding results in fewer spurious underflow signals.

Instructions

The following instructions are added by this extension in the generic_rv64 configuration:

fadd.s

No synopsis available.

fclass.s

Single-precision floating-point classify.

fcvt.l.s

No synopsis available.

fcvt.lu.s

No synopsis available.

fcvt.s.l

No synopsis available.

fcvt.s.lu

No synopsis available.

fcvt.s.w

Convert signed 32-bit integer to single-precision float

fcvt.s.wu

No synopsis available.

fcvt.w.s

Convert single-precision float to integer word to signed 32-bit integer.

fcvt.wu.s

No synopsis available.

fdiv.s

No synopsis available.

feq.s

Single-precision floating-point equal

fle.s

Single-precision floating-point less than or equal

flt.s

Single-precision floating-point less than

flw

Single-precision floating-point load

fmadd.s

No synopsis available.

fmax.s

No synopsis available.

fmin.s

No synopsis available.

fmsub.s

No synopsis available.

fmul.s

No synopsis available.

fmv.w.x

Single-precision floating-point move from integer

fmv.x.w

Move single-precision value from floating-point to integer register

fnmadd.s

No synopsis available.

fnmsub.s

No synopsis available.

fsgnj.s

Single-precision sign inject

fsgnjn.s

Single-precision sign inject negate

fsgnjx.s

Single-precision sign inject exclusive or

fsqrt.s

No synopsis available.

fsub.s

No synopsis available.

fsw

Single-precision floating-point store

fmv.h.x

Half-precision floating-point move from integer

Parameters

This extension has the following implementation options:

HW_MSTATUS_FS_DIRTY_UPDATE

Indicates whether or not hardware will write to mstatus.FS

Values are:

never

Hardware never writes mstatus.FS

precise

Hardware writes mstatus.FS to the Dirty (3) state precisely when F registers are modified

imprecise

Hardware writes mstatus.FS imprecisely. This will result in a call to unpredictable() on any attempt to read mstatus or write FP state.

MSTATUS_FS_LEGAL_VALUES

The set of values that mstatus.FS will accept from a software write.

MUTABLE_MISA_F

Indicates whether or not the F extension can be disabled with the misa.F bit.