/* * Copyright (c) 1994 Cygnus Support. * All rights reserved. * * Redistribution and use in source and binary forms are permitted * provided that the above copyright notice and this paragraph are * duplicated in all such forms and that any documentation, * and/or other materials related to such * distribution and use acknowledge that the software was developed * at Cygnus Support, Inc. Cygnus Support, Inc. may not be used to * endorse or promote products derived from this software without * specific prior written permission. * THIS SOFTWARE IS PROVIDED ``AS IS'' AND WITHOUT ANY EXPRESS OR * IMPLIED WARRANTIES, INCLUDING, WITHOUT LIMITATION, THE IMPLIED * WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. */ /* Test the library maths functions using trusted precomputed test vectors. These vectors were originally generated on a sun3 with a 68881 using 80 bit precision, but ... Each function is called with a variety of interesting arguments. Note that many of the polynomials we use behave badly when the domain is stressed, so the numbers in the vectors depend on what is useful to test - eg sin(1e30) is pointless - the arg has to be reduced modulo pi, and after that there's no bits of significance left to evaluate with - any number would be just as precise as any other. */ #include "test.h" #include #include #include #include #include #include #ifndef _IEEE_754_2008_SNAN # define _IEEE_754_2008_SNAN 1 #endif extern int inacc; int merror; double mretval = 64; int traperror = 1; char *mname; void translate_to (FILE *file, double r) { __ieee_double_shape_type bits; bits.value = r; fprintf(file, "0x%08lx, 0x%08lx", (unsigned long) bits.parts.msw, (unsigned long) bits.parts.lsw); } double thedouble (uint32_t msw, uint32_t lsw, volatile double *r); /* Convert double to float, preserving issignaling status and NaN sign */ #define to_float(f,d) do { \ if (__issignaling(d)) { \ if (signbit(d)) \ (f) = -__builtin_nansf(""); \ else \ (f) = __builtin_nansf(""); \ } else if (isnan(d)) { \ if (signbit(d)) \ (f) = -__builtin_nanf(""); \ else \ (f) = __builtin_nanf(""); \ } else \ (f) = (float) (d); \ } while(0) #define to_double(d,f) do { \ if (__issignalingf(f)) { \ if (signbit(f)) \ (d) = -__builtin_nans(""); \ else \ (d) = __builtin_nans(""); \ } else if (isnanf(f)) { \ if (signbit(f)) \ (d) = -__builtin_nan(""); \ else \ (d) = __builtin_nan(""); \ } else \ (d) = (double) (f); \ } while(0) int ffcheck_id(double is, one_line_type *p, char *name, int serrno, int merror, int id) { /* Make sure the answer isn't to far wrong from the correct value */ __ieee_double_shape_type correct = {}, isbits; int mag; isbits.value = is; (void) serrno; (void) merror; thedouble(p->qs[id].msw, p->qs[id].lsw, &correct.value); int error_bit = p->error_bit; mag = mag_of_error(correct.value, is); if (error_bit > 63) error_bit = 63; /* All signaling nans are the "same", as are all quiet nans. * On i386, just returning a value converts signaling nans to quiet * nans, let that pass */ if (isnan(correct.value) && isnan(is) #if !defined(__i386__) && !defined(__HAVE_68881__) && (issignaling(correct.value) == issignaling(is)) #endif ) { mag = 64; } if (mag < error_bit) { inacc ++; printf("%s:%d, inaccurate answer: bit %d (%08lx%08lx %08lx%08lx) (%g %g)\n", name, p->line, mag, (unsigned long) correct.parts.msw, (unsigned long) correct.parts.lsw, (unsigned long) isbits.parts.msw, (unsigned long) isbits.parts.lsw, correct.value, is); } #if 0 if (p->qs[id].merror != merror) { /* Beware, matherr doesn't exist anymore. */ printf("testing %s_vec.c:%d, matherr wrong: %d %d\n", name, p->line, merror, p->qs[id].merror); } if (p->qs[id].errno_val != errno) { printf("testing %s_vec.c:%d, errno wrong: %d %d\n", name, p->line, errno, p->qs[id].errno_val); } #endif return mag; } int ffcheck(double is, one_line_type *p, char *name, int serrno, int merror) { return ffcheck_id(is, p, name, serrno, merror, 0); } int fffcheck_id (float is, one_line_type *p, char *name, int serrno, int merror, int id) { /* Make sure the answer isn't to far wrong from the correct value */ __ieee_float_shape_type correct, isbits; __ieee_double_shape_type correct_double; __ieee_double_shape_type is_double; int mag; (void) serrno; (void) merror; isbits.value = is; to_double(is_double.value, is); thedouble(p->qs[id].msw,p->qs[id].lsw, &correct_double.value); to_float(correct.value, correct_double.value); // printf("%s got 0x%08x want 0x%08x\n", name, isbits.p1, correct.p1); int error_bit = p->error_bit; if (error_bit > 31) error_bit = 31; mag = fmag_of_error(correct.value, is); /* All signaling nans are the "same", as are all quiet nans */ if (isnan(correct.value) && isnan(is) #if !defined(__i386__) && !defined(__m68k__) /* i386 calling convention ends up always converting snan into qnan */ && (__issignalingf(correct.value) == __issignalingf(is)) #endif ) { mag = 32; } if (mag < error_bit) { inacc ++; printf("%s:%d, inaccurate answer: bit %d (%08lx is %08lx) (%g is %g) (is double 0x%08lx, 0x%08lx)\n", name, p->line, mag, (unsigned long) (uint32_t) correct.p1, (unsigned long) (uint32_t) isbits.p1, (double) correct.value, (double) is, (unsigned long) (uint32_t) is_double.parts.msw, (unsigned long) (uint32_t) is_double.parts.lsw); } #if 0 if (p->qs[id].merror != merror) { /* Beware, matherr doesn't exist anymore. */ printf("testing %s_vec.c:%d, matherr wrong: %d %d\n", name, p->line, merror, p->qs[id].merror); } if (p->qs[id].errno_val != errno) { printf("testing %s_vec.c:%d, errno wrong: %d %d\n", name, p->line, errno, p->qs[id].errno_val); } #endif return mag; } int fffcheck (float is, one_line_type *p, char *name, int serrno, int merror) { return fffcheck_id(is, p, name, serrno, merror, 0); } static volatile_memcpy(volatile void *dest, void *src, size_t len) { volatile uint8_t *d = dest; uint8_t *s = src; while (len--) *d++ = *s++; } double thedouble (uint32_t msw, uint32_t lsw, volatile double *r) { __ieee_double_shape_type x; x.parts.msw = msw; x.parts.lsw = lsw; #if !_IEEE_754_2008_SNAN if (isnan(x.value)) x.parts.msw ^= 0x000c0000; #endif if (r) volatile_memcpy(r, &x.value, sizeof(double)); return x.value; } int calc; extern int reduce; void frontline (FILE *f, int mag, one_line_type *p, double result, int merror, int my_errno, char *args, char *name) { (void) name; /* float returns can never have more than 32 bits of accuracy */ if (*args == 'f' && mag > 32) mag = 32; if (reduce && p->error_bit < mag) { fprintf(f, "{%2d,", p->error_bit); } else { fprintf(f, "{%2d,",mag); } fprintf(f,"%2d,%3d,", merror,my_errno); fprintf(f, "__LINE__, "); if (calc) { translate_to(f, result); } else { translate_to(f, thedouble(p->qs[0].msw, p->qs[0].lsw, NULL)); } fprintf(f, ", "); fprintf(f,"0x%08lx, 0x%08lx", (unsigned long) p->qs[1].msw, (unsigned long) p->qs[1].lsw); if (args[2]) { fprintf(f, ", "); fprintf(f,"0x%08lx, 0x%08lx", (unsigned long) p->qs[2].msw, (unsigned long) p->qs[2].lsw); } fprintf(f,"}, /* %g=f(%g",result, thedouble(p->qs[1].msw, p->qs[1].lsw, NULL)); if (args[2]) { fprintf(f,", %g", thedouble(p->qs[2].msw,p->qs[2].lsw, NULL)); } fprintf(f, ")*/\n"); } void finish (FILE *f, int vector, double result, one_line_type *p, char *args, char *name) { int mag; mag = ffcheck(result, p,name, merror, errno); (void) f; (void) vector; (void) args; (void) mag; #ifdef INCLUDE_GENERATE if (vector) { frontline(f, mag, p, result, merror, errno, args , name); } #endif } void finish2 (FILE *f, int vector, double result, double result2, one_line_type *p, char *args, char *name) { int mag, mag2; mag = ffcheck(result, p,name, merror, errno); mag2 = ffcheck_id(result2, p,name, merror, errno, 2); if (mag2 < mag) mag = mag2; (void) f; (void) vector; (void) mag; (void) args; #ifdef INCLUDE_GENERATE if (vector) { __ieee_double_shape_type result2_double; result2_double.value = result2; p->qs[2].msw = result2_double.parts.msw; p->qs[2].lsw = result2_double.parts.lsw; frontline(f, mag, p, result, merror, errno, args , name); } #endif } void ffinish (FILE *f, int vector, float fresult, one_line_type *p, char *args, char *name) { int mag; mag = fffcheck(fresult, p,name, merror, errno); (void) f; (void) vector; (void) args; (void) mag; #ifdef INCLUDE_GENERATE if (vector) { frontline(f, mag, p, (double) fresult, merror, errno, args , name); } #endif } void ffinish2 (FILE *f, int vector, float fresult, float fresult2, one_line_type *p, char *args, char *name) { int mag, mag2; mag = fffcheck(fresult, p,name, merror, errno); mag2 = fffcheck_id(fresult2, p, name, merror, errno, 2); if (mag2 < mag) mag = mag2; (void) f; (void) vector; (void) args; (void) mag; #ifdef INCLUDE_GENERATE if (vector) { __ieee_double_shape_type result2_double; to_double(result2_double.value, (double) fresult2); p->qs[2].msw = result2_double.parts.msw; p->qs[2].lsw = result2_double.parts.lsw; frontline(f, mag, p, (double) fresult, merror, errno, args , name); } #endif } extern int redo; bool in_float_range(double arg) { if (isinf(arg) || isnan(arg)) return true; return -(double) FLT_MAX <= arg && arg <= (double) FLT_MAX; } void run_vector_1 (int vector, one_line_type *p, char *func, char *name, char *args) { FILE *f = NULL; double result; float fresult; #ifdef INCLUDE_GENERATE if (vector) { VECOPEN(name, f); if (redo) { double k; union { struct { uint32_t a, b; }; double d; } d, d4; for (k = -.2; k < .2; k+= 0.00132) { d.d = k; d4.d = k + 4; fprintf(f,"{1,1, 1,1, 0,0,0x%08lx,0x%08lx, 0x%08lx, 0x%08lx},\n", (unsigned long) d.a, (unsigned long) d.b, (unsigned long) d4.a, (unsigned long) d4.b); } for (k = -1.2; k < 1.2; k+= 0.01) { d.d = k; d4.d = k + 4; fprintf(f,"{1,1, 1,1, 0,0,0x%08lx,0x%08lx, 0x%08lx, 0x%08lx},\n", (unsigned long) d.a, (unsigned long) d.b, (unsigned long) d4.a, (unsigned long) d4.b); } for (k = -M_PI *2; k < M_PI *2; k+= M_PI/2) { d.d = k; d4.d = k + 4; fprintf(f,"{1,1, 1,1, 0,0,0x%08lx,0x%08lx, 0x%08lx, 0x%08lx},\n", (unsigned long) d.a, (unsigned long) d.b, (unsigned long) d4.a, (unsigned long) d4.b); } for (k = -30; k < 30; k+= 1.7) { d.d = k; d4.d = k + 4; fprintf(f,"{2,2, 1,1, 0,0, 0x%08lx,0x%08lx, 0x%08lx, 0x%08lx},\n", (unsigned long) d.a, (unsigned long) d.b, (unsigned long) d4.a, (unsigned long) d4.b); } VECCLOSE(f, name, args); return; } } #endif newfunc(name); while (p->line) { volatile double arg1; thedouble(p->qs[1].msw, p->qs[1].lsw, &arg1); volatile double arg2; thedouble(p->qs[2].msw, p->qs[2].lsw, &arg2); errno = 0; merror = 0; mname = 0; line(p->line); merror = 0; errno = 123; if (strcmp(args,"dd")==0) { typedef double (*pdblfunc) (double); /* Double function returning a double */ result = ((pdblfunc)(func))(arg1); finish(f,vector, result, p, args, name); } else if (strcmp(args,"ff")==0) { float arga; typedef float (*pdblfunc) (float); /* Double function returning a double */ if (in_float_range(arg1)) { to_float(arga, arg1); fresult = ((pdblfunc)(func))(arga); ffinish(f, vector, fresult, p,args, name); } } else if (strcmp(args,"ddd")==0) { typedef double (*pdblfunc) (double,double); result = ((pdblfunc)(func))(arg1,arg2); finish(f, vector, result, p,args, name); } else if (strcmp(args,"fff")==0) { volatile float arga; volatile float argb; typedef float (*pdblfunc) (float,float); if (in_float_range(arg1) && in_float_range(arg2)) { to_float(arga, arg1); to_float(argb, arg2); fresult = ((pdblfunc)(func))(arga, argb); // printf("0x%08x = %s(0x%08x, 0x%08x)\n", // float_bits(fresult), name, float_bits(arga), float_bits(argb)); ffinish(f, vector, fresult, p,args, name); } } else if (strcmp(args,"did")==0) { typedef double (*pdblfunc) (int,double); result = ((pdblfunc)(func))((int)arg1,arg2); finish(f, vector, result, p,args, name); } else if (strcmp(args,"fif")==0) { float argb; typedef float (*pdblfunc) (int,float); if (in_float_range(arg2)) { to_float(argb, arg2); fresult = ((pdblfunc)(func))((int)arg1, argb); ffinish(f, vector, fresult, p,args, name); } } else if (strcmp(args,"id")==0) { typedef int (*pdblfunc)(double); result = (double) ((pdblfunc)(func))(arg1); finish(f, vector, result, p, args, name); } else if (strcmp(args,"ddp") == 0) { typedef double (*pdblfunc)(double, double *); double result2; result = (double) ((pdblfunc)(func))(arg1, &result2); finish2(f, vector, result, result2, p, args, name); } else if (strcmp(args,"ffp") == 0) { typedef float (*pdblfunc)(float, float *); float result2; fresult = (float) ((pdblfunc)(func))(arg1, &result2); ffinish2(f, vector, fresult, result2, p, args, name); } else if (strcmp(args,"ddi") == 0) { typedef double (*pdblfunc)(double, int); result = ((pdblfunc)func) (arg1, (int) arg2); finish(f, vector, result, p, args, name); } else if (strcmp(args,"ffi") == 0) { typedef float (*pdblfunc)(float, int); fresult = ((pdblfunc)func) (arg1, (int) arg2); ffinish(f, vector, fresult, p, args, name); } p++; } if (vector && f) { VECCLOSE(f, name, args); } } void test_math (int vector) { (void) vector; #if TEST_PART == 0 || TEST_PART == -1 test_acos(vector); test_acosf(vector); test_acosh(vector); test_acoshf(vector); test_asin(vector); test_asinf(vector); test_asinh(vector); test_asinhf(vector); test_atan(vector); #endif #if TEST_PART > 0 || TEST_PART == -1 test_atan2(vector); test_atan2f(vector); #endif #if TEST_PART == 0 || TEST_PART == -1 test_atanf(vector); test_atanh(vector); test_atanhf(vector); test_ceil(vector); test_ceilf(vector); test_copysign(vector); test_copysignf(vector); test_cos(vector); test_cosf(vector); test_cosh(vector); test_coshf(vector); test_erf(vector); test_erfc(vector); test_erfcf(vector); test_erff(vector); test_exp(vector); test_expf(vector); #endif #if TEST_PART == 1 || TEST_PART == -1 test_fabs(vector); test_fabsf(vector); test_floor(vector); test_floorf(vector); test_fmod(vector); test_fmodf(vector); test_gamma(vector); test_gammaf(vector); test_hypot(vector); test_hypotf(vector); test_issignaling(vector); test_j0(vector); test_j0f(vector); test_j1(vector); test_j1f(vector); test_jn(vector); test_jnf(vector); test_log(vector); test_log10(vector); test_log10f(vector); test_log1p(vector); test_log1pf(vector); test_log2(vector); test_log2f(vector); test_logf(vector); #endif #if TEST_PART == 2 || TEST_PART == -1 test_modf(vector); test_modff(vector); test_pow_vec(vector); test_powf_vec(vector); test_scalb(vector); test_scalbf(vector); test_scalbn(vector); test_scalbnf(vector); test_sin(vector); test_sinf(vector); test_sinh(vector); test_sinhf(vector); test_sqrt(vector); test_sqrtf(vector); test_tan(vector); test_tanf(vector); test_tanh(vector); test_tanhf(vector); test_trunc(vector); test_truncf(vector); test_y0(vector); test_y0f(vector); test_y1(vector); test_y1f(vector); test_y1f(vector); test_ynf(vector); #endif } /* These have to be played with to get to compile on machines which don't have the fancy f entry points */ #if 0 float cosf (float a) { return cos((double)a); } float sinf (float a) { return sin((double)a); } float log1pf (float a) { return log1p((double)a); } float tanf (float a) { return tan((double)a); } float ceilf (float a) { return ceil(a); } float floorf (float a) { return floor(a); } #endif /*ndef HAVE_FLOAT*/ #if 0 float fmodf(a,b) float a,b; { return fmod(a,b); } float hypotf(a,b) float a,b; { return hypot(a,b); } float acosf(a) float a; { return acos(a); } float acoshf(a) float a; { return acosh(a); } float asinf(a) float a; { return asin(a); } float asinhf(a) float a; { return asinh(a); } float atanf(a) float a; { return atan(a); } float atanhf(a) float a; { return atanh(a); } float coshf(a) float a; { return cosh(a); } float erff(a) float a; { return erf(a); } float erfcf(a) float a; { return erfc(a); } float expf(a) float a; { return exp(a); } float fabsf(a) float a; { return fabs(a); } float gammaf(a) float a; { return gamma(a); } float j0f(a) float a; { return j0(a); } float j1f(a) float a; { return j1(a); } float log10f(a) float a; { return log10(a); } float logf(a) float a; { return log(a); } float sinhf(a) float a; { return sinh(a); } float sqrtf(a) float a; { return sqrt(a); } float tanhf(a) float a; { return tanh(a); } float y0f(a) float a; { return y0(a); } float y1f(a) float a; { return y1(a); } #endif