/*************************************************************************** gbx_subr_math.c (c) 2000-2013 BenoƮt Minisini This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program; if not, write to the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. ***************************************************************************/ #define __GBX_SUBR_MATH_C #ifdef OS_SOLARIS /* Make math.h define M_PI and a few other things */ #define __EXTENSIONS__ /* Get definition for finite() */ #include #endif #include "gb_common.h" #include "gbx_value.h" #include "gbx_subr.h" #include "gbx_math.h" #define ABS(x) ((x) < 0 ? (-x) : (x)) #define SMT_NAME SUBR_quo #define SMT_TYPE 3 #define SMT_OP / #include "gbx_subr_math_temp.h" #define SMT_NAME SUBR_rem #define SMT_TYPE 3 #define SMT_OP % #include "gbx_subr_math_temp.h" void SUBR_pi(ushort code) { SUBR_ENTER(); if (NPARAM == 0) { SP->type = T_FLOAT; SP->_float.value = M_PI; SP++; } else { VALUE_conv_float(PARAM); PARAM->_float.value = M_PI * PARAM->_float.value; } } void SUBR_randomize(ushort code) { SUBR_ENTER(); if (NPARAM == 0) randomize(FALSE, 0); else randomize(TRUE, (uint)SUBR_get_integer(PARAM)); RETURN->type = T_VOID; SUBR_LEAVE(); } void SUBR_rnd(ushort code) { double min = 0.0, max = 1.0; SUBR_ENTER(); if (NPARAM >= 1) { VALUE_conv_float(&PARAM[0]); max = PARAM->_float.value; } if (NPARAM == 2) { min = max; VALUE_conv_float(&PARAM[1]); max = PARAM[1]._float.value; } RETURN->type = T_FLOAT; RETURN->_float.value = (rnd() * (max - min)) + min; SUBR_LEAVE(); } void SUBR_round(ushort code) { int val = 0; double power; SUBR_ENTER(); if (NPARAM == 2) val = SUBR_get_integer(&PARAM[1]); power = pow(10, val); VALUE_conv_float(&PARAM[0]); RETURN->type = T_FLOAT; /*RETURN->_float.value = rint(PARAM->_float.value / power) * power;*/ RETURN->_float.value = floor(PARAM->_float.value / power + 0.5) * power; SUBR_LEAVE(); } void SUBR_math(ushort code) { static void *jump[] = { NULL, &&__FRAC, &&__LOG, &&__EXP, &&__SQRT, &&__SIN, &&__COS, &&__TAN, &&__ATAN, &&__ASIN, &&__ACOS, &&__DEG, &&__RAD, &&__LOG10, &&__SINH, &&__COSH, &&__TANH, &&__ASINH, &&__ACOSH, &&__ATANH, &&__EXP2, &&__EXP10, &&__LOG2, &&__CBRT, &&__EXPM1, &&__LOG1P, &&__FLOOR, &&__CEIL }; SUBR_ENTER_PARAM(1); VALUE_conv_float(PARAM); goto *jump[code & 0x1F]; __FRAC: PARAM->_float.value = frac(PARAM->_float.value); goto __END; __LOG: PARAM->_float.value = __builtin_log(PARAM->_float.value); goto __END; __EXP: PARAM->_float.value = __builtin_exp(PARAM->_float.value); goto __END; __SQRT: PARAM->_float.value = __builtin_sqrt(PARAM->_float.value); goto __END; __SIN: PARAM->_float.value = __builtin_sin(PARAM->_float.value); goto __END; __COS: PARAM->_float.value = __builtin_cos(PARAM->_float.value); goto __END; __TAN: PARAM->_float.value = __builtin_tan(PARAM->_float.value); goto __END; __ATAN: PARAM->_float.value = __builtin_atan(PARAM->_float.value); goto __END; __ASIN: PARAM->_float.value = __builtin_asin(PARAM->_float.value); goto __END; __ACOS: PARAM->_float.value = __builtin_acos(PARAM->_float.value); goto __END; __DEG: PARAM->_float.value = deg(PARAM->_float.value); goto __END; __RAD: PARAM->_float.value = rad(PARAM->_float.value); goto __END; __LOG10: PARAM->_float.value = log10(PARAM->_float.value); goto __END; __SINH: PARAM->_float.value = __builtin_sinh(PARAM->_float.value); goto __END; __COSH: PARAM->_float.value = __builtin_cosh(PARAM->_float.value); goto __END; __TANH: PARAM->_float.value = __builtin_tanh(PARAM->_float.value); goto __END; __ASINH: PARAM->_float.value = __builtin_asinh(PARAM->_float.value); goto __END; __ACOSH: PARAM->_float.value = __builtin_acosh(PARAM->_float.value); goto __END; __ATANH: PARAM->_float.value = __builtin_atanh(PARAM->_float.value); goto __END; __EXP2: PARAM->_float.value = __builtin_exp2(PARAM->_float.value); goto __END; #ifdef OS_FREEBSD __EXP10: PARAM->_float.value = exp10(PARAM->_float.value); goto __END; #else __EXP10: PARAM->_float.value = __builtin_exp10(PARAM->_float.value); goto __END; #endif __LOG2: PARAM->_float.value = __builtin_log2(PARAM->_float.value); goto __END; __CBRT: PARAM->_float.value = __builtin_cbrt(PARAM->_float.value); goto __END; __EXPM1: PARAM->_float.value = __builtin_expm1(PARAM->_float.value); goto __END; __LOG1P: PARAM->_float.value = __builtin_log1p(PARAM->_float.value); goto __END; __FLOOR: PARAM->_float.value = __builtin_floor(PARAM->_float.value); goto __END; __CEIL: PARAM->_float.value = __builtin_ceil(PARAM->_float.value); goto __END; __END: //fprintf(stderr, "m: %.24g\n", PARAM->_float.value); if (!isfinite(PARAM->_float.value)) THROW(E_MATH); } void SUBR_math2(ushort code) { static void *jump[] = { NULL, &&__ATAN2, &&__ANG, &&__HYPOT }; SUBR_ENTER_PARAM(2); VALUE_conv_float(&PARAM[0]); VALUE_conv_float(&PARAM[1]); goto *jump[code & 0x1F]; __ATAN2: PARAM->_float.value = __builtin_atan2(PARAM[0]._float.value, PARAM[1]._float.value); goto __END; __ANG: PARAM->_float.value = __builtin_atan2(PARAM[1]._float.value, PARAM[0]._float.value); goto __END; __HYPOT: PARAM->_float.value = sqrt(PARAM[0]._float.value * PARAM[0]._float.value + PARAM[1]._float.value * PARAM[1]._float.value); goto __END; __END: if (!finite(PARAM->_float.value)) THROW(E_MATH); SP--; } void SUBR_pow(ushort code) { static void *jump[] = { &&__VARIANT, &&__NUMBER_INTEGER, &&__NUMBER_FLOAT, &&__OBJECT_FLOAT, &&__OBJECT_OTHER, &&__OBJECT_OBJECT }; VALUE *P1, *P2; uchar type; bool variant = FALSE; P1 = SP - 2; P2 = P1 + 1; type = code & 0x0F; goto *jump[type]; __VARIANT: if (TYPE_is_variant(P1->type)) { VARIANT_undo(P1); variant = TRUE; } if (TYPE_is_variant(P2->type)) { VARIANT_undo(P2); variant = TRUE; } if (TYPE_is_number(P1->type) && TYPE_is_number(P2->type)) { if (TYPE_is_integer(P2->type)) type = 1; else type = 2; } else { type = EXEC_check_operator(P1, P2, CO_POW); if (type == OP_OBJECT_FLOAT) type = 3; else if (type == OP_OBJECT_OTHER) type = 4; else if (type == OP_OBJECT_OBJECT) type = 5; else THROW(E_TYPE, "Number", TYPE_get_name(P2->type)); } if (!variant) { if (P1->type != T_OBJECT && P2->type != T_OBJECT) *PC |= type; goto *jump[type]; } else { SUBR_pow(type); VALUE_conv_variant(P1); return; } __NUMBER_INTEGER: { static void *ni_jump[] = { &&__M4, &&__M3, &&__M2, &&__M1, &&__P0, &&__END, &&__P2, &&__P3, &&__P4 }; int val = P2->_integer.value; VALUE_conv_float(P1); if (val >= -4 && val <= 4) goto *ni_jump[val + 4]; else goto __NUMBER_FLOAT; __P0: P1->_float.value = 1.0; goto __END; __P2: P1->_float.value *= P1->_float.value; goto __END_NUMBER; __P3: P1->_float.value *= P1->_float.value * P1->_float.value; goto __END_NUMBER; __P4: P1->_float.value = P1->_float.value * P1->_float.value * P1->_float.value * P1->_float.value; goto __END_NUMBER; __M1: P1->_float.value = 1.0 / P1->_float.value; goto __END_NUMBER; __M2: P1->_float.value = 1.0 / P1->_float.value / P1->_float.value; goto __END_NUMBER; __M3: P1->_float.value = 1.0 / P1->_float.value / P1->_float.value / P1->_float.value; goto __END_NUMBER; __M4: P1->_float.value = 1.0 / P1->_float.value / P1->_float.value / P1->_float.value / P1->_float.value; goto __END_NUMBER; } __NUMBER_FLOAT: VALUE_conv_float(P1); VALUE_conv_float(P2); P1->_float.value = pow(P1->_float.value, P2->_float.value); goto __END; __OBJECT_FLOAT: EXEC_operator(OP_OBJECT_FLOAT, CO_POWF, P1, P2); goto __END; __OBJECT_OTHER: EXEC_operator(OP_OBJECT_OTHER, CO_POWO, P1, P2); goto __END; __OBJECT_OBJECT: EXEC_operator(OP_OBJECT_OBJECT, CO_POW, P1, P2); goto __END; __END_NUMBER: if (!finite(P1->_float.value)) THROW(E_MATH); __END: SP--; } void SUBR_not(ushort code) { static void *jump[17] = { &&__VARIANT, &&__BOOLEAN, &&__BYTE, &&__SHORT, &&__INTEGER, &&__LONG, &&__SINGLE, &&__FLOAT, &&__DATE, &&__STRING, &&__STRING, &&__ERROR, &&__ERROR, &&__ERROR, &&__ERROR, &&__NULL, &&__OBJECT }; VALUE *P1; void *jump_end; TYPE type = code & 0x1F; bool test; P1 = SP - 1; jump_end = &&__END; goto *jump[type]; __BOOLEAN: P1->_integer.value = P1->_integer.value ? 0 : (-1); goto *jump_end; __BYTE: P1->_integer.value = (unsigned char)~P1->_integer.value; goto *jump_end; __SHORT: P1->_integer.value = (short)~P1->_integer.value; goto *jump_end; __INTEGER: P1->_integer.value = ~P1->_integer.value; goto *jump_end; __LONG: P1->_long.value = ~P1->_long.value; goto *jump_end; __SINGLE: __FLOAT: __DATE: goto __ERROR; __STRING: __OBJECT: __NULL: test = VALUE_is_null(P1); RELEASE(P1); P1->_integer.value = test ? (-1) : 0; P1->type = T_BOOLEAN; goto *jump_end; __VARIANT: type = P1->type; if (TYPE_is_variant(type)) { type = P1->_variant.vtype; jump_end = &&__VARIANT_END; VARIANT_undo(P1); } else if (TYPE_is_object(type)) *PC |= T_OBJECT; else if (type) *PC |= type; else goto __ERROR; if (TYPE_is_object(type)) goto __OBJECT; else goto *jump[type]; __ERROR: THROW(E_TYPE, "Number, String or Object", TYPE_get_name(type)); __VARIANT_END: VALUE_conv_variant(P1); __END: return; } void SUBR_and_(ushort code) { static void *jump[] = { &&__VARIANT, &&__BOOLEAN, &&__BYTE, &&__SHORT, &&__INTEGER, &&__LONG, &&__ERROR, &&__ERROR, &&__ERROR }; TYPE type; VALUE *P1, *P2; void *jump_end; short op; P1 = SP - 2; P2 = P1 + 1; jump_end = &&__END; type = code & 0x0F; op = (code >> 8) - (C_AND >> 8); goto *jump[type]; __BYTE: P1->type = type; { static void *exec[] = { &&__AND_C, && __OR_C, &&__XOR_C }; goto *exec[op]; __AND_C: P1->_integer.value = (unsigned char)(P1->_integer.value & P2->_integer.value); goto *jump_end; __OR_C: P1->_integer.value = (unsigned char)(P1->_integer.value | P2->_integer.value); goto *jump_end; __XOR_C: P1->_integer.value = (unsigned char)(P1->_integer.value ^ P2->_integer.value); goto *jump_end; } goto *jump_end; __SHORT: P1->type = type; { static void *exec[] = { &&__AND_H, && __OR_H, &&__XOR_H }; goto *exec[op]; __AND_H: P1->_integer.value = (short)(P1->_integer.value & P2->_integer.value); goto *jump_end; __OR_H: P1->_integer.value = (short)(P1->_integer.value | P2->_integer.value); goto *jump_end; __XOR_H: P1->_integer.value = (short)(P1->_integer.value ^ P2->_integer.value); goto *jump_end; } goto *jump_end; __BOOLEAN: __INTEGER: P1->type = type; { static void *exec[] = { &&__AND_I, && __OR_I, &&__XOR_I }; goto *exec[op]; __AND_I: P1->_integer.value &= P2->_integer.value; goto *jump_end; __OR_I: P1->_integer.value |= P2->_integer.value; goto *jump_end; __XOR_I: P1->_integer.value ^= P2->_integer.value; goto *jump_end; } goto *jump_end; __LONG: VALUE_conv(P1, T_LONG); VALUE_conv(P2, T_LONG); P1->type = type; { static void *exec[] = { &&__AND_L, && __OR_L, &&__XOR_L }; goto *exec[op]; __AND_L: P1->_long.value &= P2->_long.value; goto *jump_end; __OR_L: P1->_long.value |= P2->_long.value; goto *jump_end; __XOR_L: P1->_long.value ^= P2->_long.value; goto *jump_end; } __VARIANT: type = Max(P1->type, P2->type); if (TYPE_is_number_date(type)) { *PC |= type; goto *jump[type]; } if (TYPE_is_variant(P1->type)) VARIANT_undo(P1); if (TYPE_is_variant(P2->type)) VARIANT_undo(P2); if (TYPE_is_string(P1->type)) VALUE_convert_boolean(P1); if (TYPE_is_string(P2->type)) VALUE_convert_boolean(P2); if (TYPE_is_null(P1->type) || TYPE_is_null(P2->type)) type = T_NULL; else type = Max(P1->type, P2->type); if (TYPE_is_number_date(type)) { jump_end = &&__VARIANT_END; goto *jump[type]; } __ERROR: THROW(E_TYPE, "Number", TYPE_get_name(type)); __VARIANT_END: VALUE_conv_variant(P1); __END: SP--; } #define MANAGE_VARIANT(_func) \ ({ \ type = P1->type; \ \ if (TYPE_is_number_date(type)) \ { \ *PC |= type; \ goto *jump[type]; \ } \ \ if (TYPE_is_variant(type)) \ { \ type = P1->_variant.vtype; \ if (TYPE_is_number_date(type)) \ { \ VARIANT_undo(P1); \ (_func)(code | type); \ VALUE_conv_variant(P1); \ return; \ } \ } \ }) #define MANAGE_VARIANT_OBJECT(_func, _op) \ ({ \ type = P1->type; \ \ if (TYPE_is_number_date(type)) \ { \ *PC |= type; \ goto *jump[type]; \ } \ \ if (EXEC_check_operator_single(P1, _op)) \ { \ if (P1->type != T_OBJECT) \ *PC |= T_DATE + 1; \ goto *jump[T_DATE + 1]; \ } \ \ if (TYPE_is_variant(type)) \ { \ VARIANT_undo(P1); \ type = P1->type; \ if (TYPE_is_number_date(type)) \ { \ (_func)(code | type); \ VALUE_conv_variant(P1); \ return; \ } \ if (EXEC_check_operator_single(P1, _op)) \ { \ (_func)(T_DATE + 1); \ VALUE_conv_variant(P1); \ return; \ } \ } \ }) void SUBR_sgn(ushort code) { static void *jump[] = { &&__VARIANT, &&__INTEGER, &&__INTEGER, &&__INTEGER, &&__INTEGER, &&__LONG, &&__SINGLE, &&__FLOAT, &&__ERROR }; VALUE *P1; TYPE type; P1 = SP - 1; type = code & 0x0F; goto *jump[type]; __INTEGER: P1->_integer.value = lsgn(P1->_integer.value); goto __END; __LONG: P1->_integer.value = llsgn(P1->_long.value); goto __END; __SINGLE: P1->_integer.value = (P1->_single.value > 0) ? 1 : ((P1->_single.value < 0) ? (-1) : 0); goto __END; __FLOAT: P1->_integer.value = fsgn(P1->_float.value); goto __END; __VARIANT: type = P1->type; if (TYPE_is_number(type)) { *PC |= type; goto *jump[type]; } if (TYPE_is_variant(type)) { type = P1->_variant.vtype; if (TYPE_is_number(type)) { VARIANT_undo(P1); goto *jump[type]; } } goto __ERROR; __ERROR: THROW(E_TYPE, "Number", TYPE_get_name(type)); __END: P1->type = T_INTEGER; } void SUBR_neg(ushort code) { static void *jump[] = { &&__VARIANT, &&__BOOLEAN, &&__BYTE, &&__SHORT, &&__INTEGER, &&__LONG, &&__SINGLE, &&__FLOAT, &&__ERROR, &&__OBJECT }; VALUE *P1; TYPE type; P1 = SP - 1; type = code & 0x0F; goto *jump[type]; __BOOLEAN: return; __BYTE: P1->_integer.value = (unsigned char)(-P1->_integer.value); return; __SHORT: P1->_integer.value = (short)(-P1->_integer.value); return; __INTEGER: P1->_integer.value = (-P1->_integer.value); return; __LONG: P1->_long.value = (-P1->_long.value); return; __SINGLE: P1->_single.value = (-P1->_single.value); return; __FLOAT: P1->_float.value = (-P1->_float.value); return; __OBJECT: EXEC_operator_object_single(CO_NEG, P1); return; __VARIANT: MANAGE_VARIANT_OBJECT(SUBR_neg, CO_NEG); __ERROR: THROW(E_TYPE, "Number", TYPE_get_name(type)); } void SUBR_abs(ushort code) { static void *jump[] = { &&__VARIANT, &&__BOOLEAN, &&__BYTE, &&__SHORT, &&__INTEGER, &&__LONG, &&__SINGLE, &&__FLOAT, &&__ERROR, &&__OBJECT }; VALUE *P1; TYPE type; P1 = SP - 1; type = code & 0x0F; goto *jump[type]; __BOOLEAN: return; __BYTE: P1->_integer.value = (unsigned char)ABS(-P1->_integer.value); return; __SHORT: P1->_integer.value = (short)ABS(P1->_integer.value); return; __INTEGER: P1->_integer.value = ABS(P1->_integer.value); return; __LONG: P1->_long.value = ABS(P1->_long.value); return; __SINGLE: P1->_single.value = fabsf(P1->_single.value); return; __FLOAT: P1->_float.value = fabs(P1->_float.value); return; __OBJECT: EXEC_operator_object_abs(P1); return; __VARIANT: MANAGE_VARIANT_OBJECT(SUBR_abs, CO_ABS); __ERROR: THROW(E_TYPE, "Number", TYPE_get_name(type)); } void SUBR_int(ushort code) { static void *jump[] = { &&__VARIANT, &&__BOOLEAN, &&__BYTE, &&__SHORT, &&__INTEGER, &&__LONG, &&__SINGLE, &&__FLOAT, &&__ERROR }; VALUE *P1; TYPE type; P1 = SP - 1; type = code & 0x0F; goto *jump[type]; __BOOLEAN: __BYTE: __SHORT: __INTEGER: __LONG: return; __SINGLE: P1->_single.value = floorf(P1->_single.value); return; __FLOAT: P1->_float.value = floor(P1->_float.value); return; __VARIANT: MANAGE_VARIANT(SUBR_int); __ERROR: THROW(E_TYPE, "Number", TYPE_get_name(type)); } void SUBR_fix(ushort code) { static void *jump[] = { &&__VARIANT, &&__BOOLEAN, &&__BYTE, &&__SHORT, &&__INTEGER, &&__LONG, &&__SINGLE, &&__FLOAT, &&__ERROR }; VALUE *P1; TYPE type; P1 = SP - 1; type = code & 0x0F; goto *jump[type]; __BOOLEAN: __BYTE: __SHORT: __INTEGER: __LONG: return; __SINGLE: P1->_single.value = fixf(P1->_single.value); return; __FLOAT: P1->_float.value = fix(P1->_float.value); return; __VARIANT: MANAGE_VARIANT(SUBR_fix); __ERROR: THROW(E_TYPE, "Number", TYPE_get_name(type)); }