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4.3.1. General-Purpose Register File
4.3.2. Arithmetic Logic Unit
4.3.3. Multipy and Divide Units
4.3.4. Floating-Point Unit
4.3.5. Custom Instruction
4.3.6. Reset and Debug Signals
4.3.7. Control and Status Registers
4.3.8. Trap Controller
4.3.9. Memory and I/O Organization
4.3.10. RISC-V based Debug Module
4.3.11. Error Correction Code (ECC)
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4.3.4.2. Floating Point Operations
The table below provides a detailed summary of the FPU operations.
Category | Operation | Cycles2 | Result | Subnormal | Rounding3 | GCC Inference |
---|---|---|---|---|---|---|
Arithmetic | FDIV.S | 14 | a ÷ b | Flush-to-0 | RNE | a / b |
FSUB.S | 1 | a - b | Flush-to-0 | RNE | a - b | |
FADD.S | 1 | a + b | Flush-to-0 | RNE | a + b | |
FMUL.S | 2 | a x b | Flush-to-0 | RNE | a * b | |
FSQRT.S | 12 | √a | Flush-to-0 | Faithful 4 | sqrt(a) | |
FMIN.S | 2 | (a < b) ? a : b | Supported | RNE | fminf() | |
FMAX.S | 2 | (a < b) ? b : a | Supported | RNE | fmaxf() | |
Fused Arithmetic5 | FMADD.S | 3 | (a x b) + c | Flush-to-0 | RNE | (a * b) + c |
FMSUB.S | 3 | (a x b) – c | Flush-to-0 | RNE | (a * b) - c | |
FNMSUB.S | 3 | -(a x b) + c | Flush-to-0 | RNE | -(a * b) + c | |
FNMADD.S | 3 | -(a x b) - c | Flush-to-0 | RNE | -(a * b) - c | |
Conversion | FCVT.S.W / FCVT.S.WU | 3 | int_to_float(a) | Supported | None | Casting |
FCVT.W.S / FCVT.WU.S | 3 | float_to_int(a) | Supported | Round towards Zero | Casting | |
Round to Nearest, ties to Max Magnitude | roundf(a) | |||||
Compare | FLT.S | 1 | (a < b) ? 1 : 0 | Flush-to-0 | RNE | a < b |
FLE.S | 1 | (a ≤ b) ? 1 : 0 | Flush-to-0 | RNE | a <= b | |
FEQ.S | 1 | (a = b) ? 1 : 0 | Flush-to-0 | RNE | a == b | |
Sign Injection | FSGNJN.S (FNEG.S) | 1 | -a | Supported | RNE | -a |
FSGNJX.S (FABS.S) | 1 | |a| | Supported | RNE | fabsf(a) | |
Classification | FCLASS.S | 2 | Refer to topic Floating Point Classification. | Supported | None | fpclassify(a) |
Note: Assume a, b, and c as single-precision floating point values. Nios® V Processor Fused Arithmetic has a rounding stage between the multiplier and addition.
The following list describes the header in the table above:
- Operation —Provides the name of the floating-point operation. The names match the names of the corresponding RISC-V floating-point instructions.
- Cycle —Specifies the number of cycles it takes to execute the instruction.
- Result—Describes the computation performed by the operation.
- Subnormal—Describes how the operation treats subnormal inputs and subnormal outputs. Subnormals are numbers with a magnitude less than approximately 1.17549435082e-38.
- Rounding —Describes how the FPU rounds the result.
- GCC Inference—Shows the C code from which GCC infers the instruction operation.
2 Preliminary results.
3 Round-to-Nearest, ties to Even (RNE).
4 Faithful rounding has a maximum error of 1 Unit of Least Precision (ULP) as compared to the 0.5 ULP in RNE. Faithful rounding is employed to save area and reduce the latency of FSQRT.S.
5 GCC toolchain infers Fused Arithmetic when the optimization level is -O3 or higher.