This commit is contained in:
James E. Stine 2022-02-26 14:10:54 -06:00
commit 8bf4fd7d6f
6 changed files with 262 additions and 0 deletions

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TARGET ?= fma
# for some reason, softfloat.a needs to be symlinked to the local directory. -L isn't working
$(TARGET): $(TARGET).c Makefile
gcc -O2 -o $(TARGET) $(TARGET).c softfloat.a \
-I../../../addins/SoftFloat-3e/source/include \
-L../../../addins/SoftFloat-3e/build/Linux-x86_64-GCC
clean:
rm $(TARGET)

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pipelined/src/fma/div.c Normal file
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#include <stdio.h>
#include <stdint.h>
#include "softfloat.h"
#include "softfloat_types.h"
int float_rounding_mode = 0;
union dp {
unsigned short x[4];
double y;
} X;
int main()
{
uint8_t rounding_mode;
uint8_t exceptions;
uint64_t n, d, result;
float64_t d_n, d_d, d_result;
n = 0x3feffffffefffff6;
d = 0xffeffffffffffffe;
//n = 0x00000000400001ff;
//d = 0x3ffffdfffffffbfe;
d_n.v = n;
d_d.v = d;
softfloat_roundingMode = rounding_mode;
softfloat_exceptionFlags = 0;
softfloat_detectTininess = softfloat_tininess_beforeRounding;
d_result = f64_div(d_n, d_d);
//result = d_result.v;
//exceptions = softfloat_exceptionFlags & 0x1f;
X.x[3] = (d_result.v & 0xffff000000000000) >> 48;
X.x[2] = (d_result.v & 0x0000ffff00000000) >> 32;
X.x[1] = (d_result.v & 0x00000000ffff0000) >> 16;
X.x[0] = (d_result.v & 0x000000000000ffff);
printf("Number = %.4x\n", X.x[3]);
printf("Number = %.4x\n", X.x[2]);
printf("Number = %.4x\n", X.x[1]);
printf("Number = %.4x\n", X.x[0]);
printf("Number = %1.25lg\n", X.y);
return 0;
}

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pipelined/src/fma/fma.c Normal file
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#include <stdio.h>
#include <stdint.h>
#include "softfloat.h"
#include "softfloat_types.h"
int float_rounding_mode = 0;
union sp {
unsigned short x[2];
float y;
} X;
int main()
{
uint8_t rounding_mode;
uint8_t exceptions;
uint32_t multiplier, multiplicand, addend, result;
float32_t f_multiplier, f_multiplicand, f_addend, f_result;
multiplier = 0xbf800000;
multiplicand = 0xbf800000;
addend = 0xffaaaaaa;
f_multiplier.v = multiplier;
f_multiplicand.v = multiplicand;
f_addend.v = addend;
softfloat_roundingMode = rounding_mode;
softfloat_exceptionFlags = 0;
softfloat_detectTininess = softfloat_tininess_beforeRounding;
f_result = f32_mulAdd(f_multiplier, f_multiplicand, f_addend);
result = f_result.v;
exceptions = softfloat_exceptionFlags & 0x1f;
printf("%x\n", f_result.v);
// Print out SP number
X.x[1] = (f_result.v & 0xffff0000) >> 16;
X.x[0] = (f_result.v & 0x0000ffff);
printf("Number = %f\n", X.y);
return 0;
}

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pipelined/src/fma/fma16.sv Normal file
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// fma16.sv
// David_Harris@hmc.edu 26 February 2022
// 16-bit floating-point multiply-accumulate
// Operation: general purpose multiply, add, fma, with optional negation
// If mul=1, p = x * y. Else p = x.
// If add=1, result = p + z. Else result = p.
// If negp or negz = 1, negate p or z to handle negations and subtractions
// fadd: mul = 0, add = 1, negp = negz = 0
// fsub: mul = 0, add = 1, negp = 0, negz = 1
// fmul: mul = 1, add = 0, negp = 0, negz = 0
// fma: mul = 1, add = 1, negp = 0, negz = 0
module fma16(
input logic [15:0] x, y, z,
input logic add, mul, negp, negz,
input logic [1:0] roundmode, // 00: rz, 01: rne, 10: rp, 11: rn
output logic [15:0] result);
logic [10:0] xm, ym, zm;
logic [4:0] xe, ye, ze;
logic xs, ys, zs;
logic zs1; // sign before optional negation
logic ps; // sign of product
unpack unpack(x, y, z, xm, ym, zm, xe, ye, ze, xs, ys, zs1); // unpack inputs
signadj signadj(negp, negz, xs, ys, zs1, ps, zs); // handle negations
mult mult(mul, xm, ym, xe, ye, pm, pe); // p = x * y
add add(add, pm, zm, pe, ze, ps, zs, rm, re, rs); // r = z + p
postproc post(roundmode, rm, re, rs, result); // normalize, round, pack
endmodule
module mult(
input logic mul,
input logic [10:0] xm, ym,
input logic [4:0] xe, ye,
input logic xs, ys,
output logic [21:0] pm,
output logic [5:0] pe);
// only multiply if mul = 1
assign pm = mul ? xm * ym : xm; // multiply mantiassas
assign pe = mul ? xe + ye : xe;
endmodule
module add(
input logic add,
input logic [21:0] pm,
input logic [10:0] zm,
input logic [5:0] pe,
input logic [4:0] ze,
input logic ps, zs,
output logic [22:0] rm,
output logic [6:0] re,
output logic rs);
logic [22:0] arm;
logic [6:0] are;
logic ars;
alignshift as(pe, ze, zm, zmaligned);
condneg cnp(pm, ps, pmn);
condneg cnz(zm, zs, zmn);
// add or pass product through
assign rm = add ? arm : pm;
assign re = add ? are : pe;
assign rs = add ? ars : ps;
);
module postproc(
input logic [1:0] roundmode,
input logic [22:0] rm,
input logic [6:0] re,
input logic rs,
output logic [15:0] result);
// add special case handling for zeros, NaN, Infinity
endmodule
module signadj(
input logic negx, negz,
input logic xs, ys, zs1,
output logic ps, zs);
assign ps = xs ^ ys ^ negx; // sign of product
assign zs = zs1 ^ negz; //
endmodule
module unpack(
input logic [15:0] x, y, z,
output logic [10:0] xm, ym, zm,
output logic [4:0] xe, ye, ze,
output logic xs, ys, zs);
unpacknum upx(x, xm, xe, xs);
unpacknum upy(y, ym, ye, ys);
unpacknum upz(z, zm, ze, zs);
endmodule
module unpacknum(
input logic [15:0] num,
output logic [10:0] m,
output logic [4:0] e,
output logic s);
logic [9:0] f; // fraction without leading 1
logic [4:0] eb; // biased exponent
assign {f, eb, s} = num; // pull bit fields out of floating-point number
assign m = {1'b1, f}; // prepend leading 1 to fraction
assign e = eb - 15; // remove bias from exponent
endmodule
// Tests:
// Every permutation for x, y, z of
// mantissa = {1.0, 1.0000000001, 1.1, 1.1111111110, 1.1111111111}
// biased exponent = {1, 2, 14, 15, 16, 21, 29, 30}
// sign = {0, 1}
// special case: [normal, 0, INF, NaN]

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#!/usr/bin/python3
# fma16_testgen.py
# David_Harris@hmc.edu 26 February 2022
# Generate test cases for 16-bit FMA
def makeVal(val):
def makeCase(x, y, z, mul, add, msg):
xval = makeVal(x);
yval = makeVal(y);
zval = makeVal(z);
mode = mul*2+add; # convert to hexadecimal code
expected = makeExpected(x, y, z, mul, add);
print(xval,"_", yval, "_", zval, "_", mode, "_", expected, " //", msg);
def makeMulCase(x, y, msg):
makeCase(x, y, "0", 1, 0, msg)
################################
## Main program
################################
# Directed cases
makeMulCase("1", "1", "1 x 1");
# Corner cases
# Random cases

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../../../addins/SoftFloat-3e/build/Linux-x86_64-GCC/softfloat.a