#include <stdio.h> #include <stdint.h> #include "softfloat.h" #include "softfloat_types.h" typedef union sp { float32_t v; float f; } sp; // lists of tests, terminated with 0x8000 uint16_t easyExponents[] = {15, 0x8000}; uint16_t medExponents[] = {1, 14, 15, 16, 20, 30, 0x8000}; uint16_t allExponents[] = {1, 15, 16, 30, 31, 0x8000}; uint16_t easyFracts[] = {0, 0x200, 0x8000}; // 1.0 and 1.1 uint16_t medFracts[] = {0, 0x200, 0x001, 0x3FF, 0x8000}; uint16_t zeros[] = {0x0000, 0x8000}; uint16_t infs[] = {0x7C00, 0xFC00}; uint16_t nans[] = {0x7D00, 0x7D01}; void softfloatInit(void) { softfloat_roundingMode = softfloat_round_minMag; softfloat_exceptionFlags = 0; softfloat_detectTininess = softfloat_tininess_beforeRounding; } float convFloat(float16_t f16) { float32_t f32; float res; sp r; f32 = f16_to_f32(f16); r.v = f32; res = r.f; return res; } void genCase(FILE *fptr, float16_t x, float16_t y, float16_t z, int mul, int add, int negp, int negz, int roundingMode, int zeroAllowed, int infAllowed, int nanAllowed) { float16_t result; int op, flagVals; char calc[80], flags[80]; float32_t x32, y32, z32, r32; float xf, yf, zf, rf; float16_t smallest; if (!mul) y.v = 0x3C00; // force y to 1 to avoid multiply if (!add) z.v = 0x0000; // force z to 0 to avoid add if (negp) x.v ^= 0x8000; // flip sign of x to negate p if (negz) z.v ^= 0x8000; // flip sign of z to negate z op = roundingMode << 4 | mul<<3 | add<<2 | negp<<1 | negz; // printf("op = %02x rm %d mul %d add %d negp %d negz %d\n", op, roundingMode, mul, add, negp, negz); softfloat_exceptionFlags = 0; // clear exceptions result = f16_mulAdd(x, y, z); sprintf(flags, "NV: %d OF: %d UF: %d NX: %d", (softfloat_exceptionFlags >> 4) % 2, (softfloat_exceptionFlags >> 2) % 2, (softfloat_exceptionFlags >> 1) % 2, (softfloat_exceptionFlags) % 2); // pack these four flags into one nibble, discarding DZ flag flagVals = softfloat_exceptionFlags & 0x7 | ((softfloat_exceptionFlags >> 1) & 0x8); // convert to floats for printing xf = convFloat(x); yf = convFloat(y); zf = convFloat(z); rf = convFloat(result); if (mul) if (add) sprintf(calc, "%f * %f + %f = %f", xf, yf, zf, rf); else sprintf(calc, "%f * %f = %f", xf, yf, rf); else sprintf(calc, "%f + %f = %f", xf, zf, rf); // omit denorms, which aren't required for this project smallest.v = 0x0400; float16_t resultmag = result; resultmag.v &= 0x7FFF; // take absolute value if (f16_lt(resultmag, smallest) && (resultmag.v != 0x0000)) fprintf (fptr, "// skip denorm: "); if (resultmag.v == 0x0000 && !zeroAllowed) fprintf(fptr, "// skip zero: "); if ((resultmag.v == 0x7C00 || resultmag.v == 0x7BFF) && !infAllowed) fprintf(fptr, "// Skip inf: "); if (resultmag.v > 0x7C00 && !nanAllowed) fprintf(fptr, "// Skip NaN: "); fprintf(fptr, "%04x_%04x_%04x_%02x_%04x_%01x // %s %s\n", x.v, y.v, z.v, op, result.v, flagVals, calc, flags); } void prepTests(uint16_t *e, uint16_t *f, char *testName, char *desc, float16_t *cases, FILE *fptr, int *numCases) { int i, j; fprintf(fptr, desc); fprintf(fptr, "\n"); *numCases=0; for (i=0; e[i] != 0x8000; i++) for (j=0; f[j] != 0x8000; j++) { cases[*numCases].v = f[j] | e[i]<<10; *numCases = *numCases + 1; } } void genMulTests(uint16_t *e, uint16_t *f, int sgn, char *testName, char *desc, int roundingMode, int zeroAllowed, int infAllowed, int nanAllowed) { int i, j, k, numCases; float16_t x, y, z; float16_t cases[100000]; FILE *fptr; char fn[80]; sprintf(fn, "work/%s.tv", testName); fptr = fopen(fn, "w"); prepTests(e, f, testName, desc, cases, fptr, &numCases); z.v = 0x0000; for (i=0; i < numCases; i++) { x.v = cases[i].v; for (j=0; j<numCases; j++) { y.v = cases[j].v; for (k=0; k<=sgn; k++) { y.v ^= (k<<15); genCase(fptr, x, y, z, 1, 0, 0, 0, roundingMode, zeroAllowed, infAllowed, nanAllowed); } } } fclose(fptr); } void genAddTests(uint16_t *e, uint16_t *f, int sgn, char *testName, char *desc, int roundingMode, int zeroAllowed, int infAllowed, int nanAllowed) { int i, j, k, numCases; float16_t x, y, z; float16_t cases[100000]; FILE *fptr; char fn[80]; sprintf(fn, "work/%s.tv", testName); fptr = fopen(fn, "w"); prepTests(e, f, testName, desc, cases, fptr, &numCases); y.v = 0x0000; for (i=0; i < numCases; i++) { x.v = cases[i].v; for (j=0; j<numCases; j++) { z.v = cases[j].v; for (k=0; k<=sgn; k++) { z.v ^= (k<<15); genCase(fptr, x, y, z, 0, 1, 0, 0, roundingMode, zeroAllowed, infAllowed, nanAllowed); } } } fclose(fptr); } void genFMATests(uint16_t *e, uint16_t *f, int sgn, char *testName, char *desc, int roundingMode, int zeroAllowed, int infAllowed, int nanAllowed) { int i, j, k, l, numCases; float16_t x, y, z; float16_t cases[100000]; FILE *fptr; char fn[80]; sprintf(fn, "work/%s.tv", testName); fptr = fopen(fn, "w"); prepTests(e, f, testName, desc, cases, fptr, &numCases); for (i=0; i < numCases; i++) { x.v = cases[i].v; for (j=0; j<numCases; j++) { y.v = cases[j].v; for (k=0; k<numCases; k++) { z.v = cases[k].v; for (l=0; l<=sgn; l++) { z.v ^= (l<<15); genCase(fptr, x, y, z, 1, 1, 0, 0, roundingMode, zeroAllowed, infAllowed, nanAllowed); } } } } fclose(fptr); } void genSpecialTests(uint16_t *e, uint16_t *f, int sgn, char *testName, char *desc, int roundingMode, int zeroAllowed, int infAllowed, int nanAllowed) { int i, j, k, sx, sy, sz, numCases; float16_t x, y, z; float16_t cases[100000]; FILE *fptr; char fn[80]; sprintf(fn, "work/%s.tv", testName); fptr = fopen(fn, "w"); prepTests(e, f, testName, desc, cases, fptr, &numCases); cases[numCases].v = 0x0000; // add +0 case cases[numCases+1].v = 0x8000; // add -0 case numCases += 2; for (i=0; i < numCases; i++) { x.v = cases[i].v; for (j=0; j<numCases; j++) { y.v = cases[j].v; for (k=0; k<numCases; k++) { z.v = cases[k].v; for (sx=0; sx<=sgn; sx++) { x.v ^= (sx<<15); for (sy=0; sy<=sgn; sy++) { y.v ^= (sy<<15); for (sz=0; sz<=sgn; sz++) { z.v ^= (sz<<15); genCase(fptr, x, y, z, 1, 1, 0, 0, roundingMode, zeroAllowed, infAllowed, nanAllowed); } } } } } } fclose(fptr); } int main() { softfloatInit(); // configure softfloat modes // Test cases: multiplication genMulTests(easyExponents, easyFracts, 0, "fmul_0", "// Multiply with exponent of 0, significand of 1.0 and 1.1, RZ", 0, 0, 0, 0); genMulTests(medExponents, medFracts, 0, "fmul_1", "// Multiply with various exponents and unsigned fractions, RZ", 0, 0, 0, 0); genMulTests(medExponents, medFracts, 1, "fmul_2", "// Multiply with various exponents and signed fractions, RZ", 0, 0, 0, 0); // Test cases: addition genAddTests(easyExponents, easyFracts, 0, "fadd_0", "// Add with exponent of 0, significand of 1.0 and 1.1, RZ", 0, 0, 0, 0); genAddTests(medExponents, medFracts, 0, "fadd_1", "// Add with various exponents and unsigned fractions, RZ", 0, 0, 0, 0); genAddTests(medExponents, medFracts, 1, "fadd_2", "// Add with various exponents and signed fractions, RZ", 0, 0, 0, 0); // Test cases: FMA genFMATests(easyExponents, easyFracts, 0, "fma_0", "// FMA with exponent of 0, significand of 1.0 and 1.1, RZ", 0, 0, 0, 0); genFMATests(medExponents, medFracts, 0, "fma_1", "// FMA with various exponents and unsigned fractions, RZ", 0, 0, 0, 0); genFMATests(medExponents, medFracts, 1, "fma_2", "// FMA with various exponents and signed fractions, RZ", 0, 0, 0, 0); // Test cases: Zero, Infinity, NaN genSpecialTests(allExponents, medFracts, 1, "fma_special_rz", "// FMA with special cases, RZ", 0, 1, 1, 1); // Full test cases with other rounding modes softfloat_roundingMode = softfloat_round_near_even; genSpecialTests(allExponents, medFracts, 1, "fma_special_rne", "// FMA with special cases, RNE", 1, 1, 1, 1); softfloat_roundingMode = softfloat_round_min; genSpecialTests(allExponents, medFracts, 1, "fma_special_rm", "// FMA with special cases, RM", 2, 1, 1, 1); softfloat_roundingMode = softfloat_round_max; genSpecialTests(allExponents, medFracts, 1, "fma_special_rp", "// FMA with special cases, RP", 3, 1, 1, 1); return 0; }