In addition to the operators (+, -, *, etc.), OpenBOR script also supports the following math functions.
Contents
sin()
int input = 1;
float result = sin(input);
// result = 0.01745240643728351
Accepts an integer angle input of 0-359 and outputs the sine from the following lookup table. Out of bounds values are capped between 0-359.
float <result> = sin_table[(<input> % 360 + 360) % 360]; // Lookup formula.
float sin_table[] = //360
{
0, 0.01745240643728351, 0.03489949670250097, 0.05233595624294383, 0.0697564737441253, 0.08715574274765816, 0.10452846326765346, 0.12186934340514747, 0.13917310096006544, 0.15643446504023087, 0.17364817766693033, 0.1908089953765448, 0.20791169081775931, 0.224951054343865, 0.24192189559966773, 0.25881904510252074, 0.27563735581699916, 0.29237170472273677, 0.3090169943749474, 0.32556815445715664, 0.3420201433256687, 0.35836794954530027, 0.374606593415912, 0.3907311284892737, 0.40673664307580015, 0.42261826174069944, 0.4383711467890774, 0.45399049973954675, 0.4694715627858908, 0.48480962024633706, 0.49999999999999994, 0.5150380749100542, 0.5299192642332049, 0.5446390350150271, 0.5591929034707469, 0.573576436351046, 0.5877852522924731, 0.6018150231520483, 0.6156614753256582, 0.6293203910498374, 0.6427876096865392, 0.6560590289905072, 0.6691306063588582, 0.6819983600624985, 0.6946583704589972, 0.7071067811865475, 0.7193398003386511, 0.7313537016191705, 0.7431448254773941, 0.754709580222772, 0.766044443118978, 0.7771459614569708, 0.788010753606722, 0.7986355100472928, 0.8090169943749474, 0.8191520442889918, 0.8290375725550417, 0.8386705679454239, 0.848048096156426, 0.8571673007021122, 0.8660254037844386, 0.8746197071393957, 0.8829475928589269, 0.8910065241883678, 0.898794046299167, 0.9063077870366499, 0.9135454576426009, 0.9205048534524403, 0.9271838545667874, 0.9335804264972017, 0.9396926207859083, 0.9455185755993167, 0.9510565162951535, 0.9563047559630354, 0.9612616959383189, 0.9659258262890683, 0.9702957262759965, 0.9743700647852352, 0.9781476007338056, 0.981627183447664, 0.984807753012208, 0.9876883405951378, 0.9902680687415702, 0.992546151641322, 0.9945218953682733, 0.9961946980917455, 0.9975640502598242, 0.9986295347545738, 0.9993908270190958, 0.9998476951563913, 1, 0.9998476951563913, 0.9993908270190958, 0.9986295347545738, 0.9975640502598242, 0.9961946980917455, 0.9945218953682734, 0.9925461516413221, 0.9902680687415704, 0.9876883405951377, 0.984807753012208, 0.981627183447664, 0.9781476007338057, 0.9743700647852352, 0.9702957262759965, 0.9659258262890683, 0.9612616959383189, 0.9563047559630355, 0.9510565162951536, 0.9455185755993168, 0.9396926207859084, 0.9335804264972017, 0.9271838545667874, 0.9205048534524404, 0.913545457642601, 0.90630778703665, 0.8987940462991669, 0.8910065241883679, 0.8829475928589271, 0.8746197071393958, 0.8660254037844387, 0.8571673007021123, 0.8480480961564261, 0.8386705679454239, 0.8290375725550417, 0.819152044288992, 0.8090169943749474, 0.7986355100472927, 0.788010753606722, 0.777145961456971, 0.766044443118978, 0.7547095802227718, 0.7431448254773942, 0.7313537016191706, 0.7193398003386514, 0.7071067811865476, 0.6946583704589971, 0.6819983600624986, 0.6691306063588583, 0.6560590289905073, 0.6427876096865395, 0.6293203910498377, 0.6156614753256584, 0.6018150231520482, 0.5877852522924732, 0.5735764363510464, 0.5591929034707469, 0.544639035015027, 0.5299192642332049, 0.5150380749100544, 0.49999999999999994, 0.48480962024633717, 0.4694715627858911, 0.45399049973954686, 0.4383711467890773, 0.4226182617406995, 0.40673664307580043, 0.39073112848927416, 0.37460659341591223, 0.3583679495453002, 0.3420201433256689, 0.32556815445715703, 0.3090169943749475, 0.29237170472273704, 0.27563735581699966, 0.258819045102521, 0.24192189559966773, 0.22495105434386478, 0.20791169081775931, 0.19080899537654497, 0.17364817766693027, 0.15643446504023098, 0.13917310096006574, 0.12186934340514754, 0.10452846326765373, 0.08715574274765864, 0.06975647374412552, 0.05233595624294381, 0.0348994967025007, 0.01745240643728344, 1.2246063538223772e-16, -0.017452406437283192, -0.0348994967025009, -0.052335956242943564, -0.06975647374412483, -0.08715574274765794, -0.10452846326765305, -0.12186934340514774, -0.13917310096006552, -0.15643446504023073, -0.17364817766693047, -0.19080899537654472, -0.20791169081775906, -0.22495105434386497, -0.2419218955996675, -0.25881904510252035, -0.275637355816999, -0.2923717047227364, -0.30901699437494773, -0.32556815445715675, -0.34202014332566865, -0.35836794954530043, -0.374606593415912, -0.39073112848927355, -0.4067366430757998, -0.4226182617406993, -0.43837114678907707, -0.45399049973954625, -0.46947156278589086, -0.48480962024633694, -0.5000000000000001, -0.5150380749100542, -0.5299192642332048, -0.5446390350150271, -0.5591929034707467, -0.5735764363510458, -0.587785252292473, -0.601815023152048, -0.6156614753256578, -0.6293203910498376, -0.6427876096865392, -0.6560590289905074, -0.6691306063588582, -0.6819983600624984, -0.6946583704589974, -0.7071067811865475, -0.7193398003386509, -0.7313537016191701, -0.743144825477394, -0.7547095802227717, -0.7660444431189779, -0.7771459614569711, -0.7880107536067221, -0.7986355100472928, -0.8090169943749473, -0.8191520442889916, -0.8290375725550414, -0.838670567945424, -0.848048096156426, -0.8571673007021121, -0.8660254037844384, -0.874619707139396, -0.882947592858927, -0.8910065241883678, -0.8987940462991668, -0.9063077870366497, -0.913545457642601, -0.9205048534524403, -0.9271838545667873, -0.9335804264972016, -0.9396926207859082, -0.9455185755993168, -0.9510565162951535, -0.9563047559630353, -0.961261695938319, -0.9659258262890683, -0.9702957262759965, -0.9743700647852351, -0.9781476007338056, -0.9816271834476639, -0.984807753012208, -0.9876883405951377, -0.9902680687415704, -0.9925461516413221, -0.9945218953682734, -0.9961946980917455, -0.9975640502598242, -0.9986295347545738, -0.9993908270190956, -0.9998476951563913, -1, -0.9998476951563913, -0.9993908270190958, -0.9986295347545738, -0.9975640502598243, -0.9961946980917455, -0.9945218953682734, -0.992546151641322, -0.9902680687415704, -0.9876883405951378, -0.9848077530122081, -0.9816271834476641, -0.9781476007338058, -0.9743700647852352, -0.9702957262759966, -0.9659258262890682, -0.9612616959383188, -0.9563047559630354, -0.9510565162951536, -0.945518575599317, -0.9396926207859085, -0.9335804264972021, -0.9271838545667874, -0.9205048534524405, -0.9135454576426008, -0.9063077870366499, -0.898794046299167, -0.8910065241883679, -0.8829475928589271, -0.8746197071393961, -0.8660254037844386, -0.8571673007021123, -0.8480480961564262, -0.8386705679454243, -0.8290375725550421, -0.8191520442889918, -0.8090169943749476, -0.798635510047293, -0.7880107536067218, -0.7771459614569708, -0.7660444431189781, -0.7547095802227722, -0.7431448254773946, -0.731353701619171, -0.7193398003386517, -0.7071067811865477, -0.6946583704589976, -0.6819983600624982, -0.6691306063588581, -0.6560590289905074, -0.6427876096865396, -0.6293203910498378, -0.6156614753256588, -0.6018150231520483, -0.5877852522924734, -0.5735764363510465, -0.5591929034707473, -0.544639035015027, -0.5299192642332058, -0.5150380749100545, -0.5000000000000004, -0.4848096202463369, -0.4694715627858908, -0.45399049973954697, -0.438371146789077, -0.4226182617407, -0.40673664307580015, -0.3907311284892747, -0.37460659341591235, -0.35836794954530077, -0.3420201433256686, -0.32556815445715753, -0.3090169943749476, -0.29237170472273627, -0.2756373558169998, -0.2588190451025207, -0.24192189559966787, -0.22495105434386534, -0.20791169081775987, -0.19080899537654466, -0.17364817766693127, -0.1564344650402311, -0.13917310096006588, -0.12186934340514811, -0.10452846326765341, -0.08715574274765832, -0.06975647374412476, -0.05233595624294437, -0.034899496702500823, -0.01745240643728445
};
ssin()
float input = 1.0; // Example input angle in degrees
float result = ssin(input);
// result = 0.017452406
Accepts an floating input angle and applies the C sin() function as follows: sin(<input> * 3.14159265 / 180.0)
cos()
int input = 1;
float result = cos(input);
// result = 0.9998476951563913
Accepts an integer angle input of 0-359 and outputs the cosine from the following lookup table. Out of bounds values are capped between 0-359.
float <result> = cos_table[(<input> % 360 + 360) % 360]; // Lookup formula.
float cos_table[] = //360
{
1, 0.9998476951563913, 0.9993908270190958, 0.9986295347545738, 0.9975640502598242, 0.9961946980917455, 0.9945218953682733, 0.992546151641322, 0.9902680687415704, 0.9876883405951378, 0.984807753012208, 0.981627183447664, 0.9781476007338057, 0.9743700647852352, 0.9702957262759965, 0.9659258262890683, 0.9612616959383189, 0.9563047559630354, 0.9510565162951535, 0.9455185755993168, 0.9396926207859084, 0.9335804264972017, 0.9271838545667874, 0.9205048534524404, 0.9135454576426009, 0.9063077870366499, 0.898794046299167, 0.8910065241883679, 0.882947592858927, 0.8746197071393957, 0.8660254037844387, 0.8571673007021123, 0.848048096156426, 0.838670567945424, 0.8290375725550416, 0.8191520442889918, 0.8090169943749474, 0.7986355100472928, 0.788010753606722, 0.7771459614569709, 0.766044443118978, 0.7547095802227721, 0.7431448254773942, 0.7313537016191706, 0.7193398003386512, 0.7071067811865476, 0.6946583704589974, 0.6819983600624985, 0.6691306063588582, 0.6560590289905073, 0.6427876096865394, 0.6293203910498375, 0.6156614753256583, 0.6018150231520484, 0.5877852522924731, 0.5735764363510462, 0.5591929034707468, 0.5446390350150272, 0.5299192642332049, 0.5150380749100544, 0.5000000000000001, 0.4848096202463371, 0.46947156278589086, 0.4539904997395468, 0.43837114678907746, 0.42261826174069944, 0.4067366430758002, 0.39073112848927394, 0.37460659341591196, 0.3583679495453004, 0.3420201433256688, 0.32556815445715675, 0.30901699437494745, 0.29237170472273677, 0.27563735581699916, 0.25881904510252074, 0.2419218955996679, 0.22495105434386492, 0.20791169081775945, 0.19080899537654491, 0.17364817766693041, 0.15643446504023092, 0.1391731009600657, 0.12186934340514749, 0.10452846326765346, 0.08715574274765814, 0.06975647374412545, 0.052335956242943966, 0.03489949670250108, 0.017452406437283376, 6.123031769111886e-17, -0.017452406437283477, -0.03489949670250073, -0.05233595624294362, -0.06975647374412533, -0.08715574274765823, -0.10452846326765333, -0.12186934340514736, -0.13917310096006535, -0.15643446504023103, -0.1736481776669303, -0.1908089953765448, -0.20791169081775912, -0.2249510543438648, -0.24192189559966778, -0.25881904510252085, -0.27563735581699905, -0.29237170472273666, -0.30901699437494734, -0.3255681544571564, -0.3420201433256687, -0.35836794954530027, -0.37460659341591207, -0.3907311284892736, -0.40673664307580004, -0.42261826174069933, -0.4383711467890775, -0.4539904997395467, -0.46947156278589053, -0.484809620246337, -0.4999999999999998, -0.5150380749100543, -0.5299192642332048, -0.5446390350150271, -0.5591929034707467, -0.5735764363510458, -0.587785252292473, -0.6018150231520484, -0.6156614753256583, -0.6293203910498373, -0.6427876096865394, -0.6560590289905075, -0.6691306063588582, -0.6819983600624984, -0.694658370458997, -0.7071067811865475, -0.7193398003386512, -0.7313537016191705, -0.743144825477394, -0.754709580222772, -0.7660444431189779, -0.7771459614569707, -0.7880107536067219, -0.7986355100472929, -0.8090169943749473, -0.8191520442889916, -0.8290375725550416, -0.8386705679454242, -0.848048096156426, -0.8571673007021122, -0.8660254037844387, -0.8746197071393957, -0.8829475928589268, -0.8910065241883678, -0.898794046299167, -0.9063077870366499, -0.9135454576426008, -0.9205048534524401, -0.9271838545667873, -0.9335804264972017, -0.9396926207859083, -0.9455185755993167, -0.9510565162951535, -0.9563047559630354, -0.9612616959383187, -0.9659258262890682, -0.9702957262759965, -0.9743700647852352, -0.9781476007338057, -0.981627183447664, -0.984807753012208, -0.9876883405951377, -0.9902680687415702, -0.992546151641322, -0.9945218953682733, -0.9961946980917455, -0.9975640502598242, -0.9986295347545738, -0.9993908270190958, -0.9998476951563913, -1, -0.9998476951563913, -0.9993908270190958, -0.9986295347545738, -0.9975640502598243, -0.9961946980917455, -0.9945218953682734, -0.992546151641322, -0.9902680687415702, -0.9876883405951378, -0.984807753012208, -0.981627183447664, -0.9781476007338057, -0.9743700647852352, -0.9702957262759965, -0.9659258262890684, -0.9612616959383189, -0.9563047559630355, -0.9510565162951535, -0.9455185755993167, -0.9396926207859084, -0.9335804264972017, -0.9271838545667874, -0.9205048534524404, -0.9135454576426011, -0.90630778703665, -0.8987940462991671, -0.8910065241883681, -0.8829475928589269, -0.8746197071393958, -0.8660254037844386, -0.8571673007021123, -0.8480480961564261, -0.838670567945424, -0.8290375725550418, -0.819152044288992, -0.8090169943749476, -0.798635510047293, -0.7880107536067222, -0.7771459614569708, -0.766044443118978, -0.7547095802227719, -0.7431448254773942, -0.7313537016191706, -0.7193398003386511, -0.7071067811865477, -0.6946583704589976, -0.6819983600624989, -0.6691306063588585, -0.6560590289905076, -0.6427876096865395, -0.6293203910498372, -0.6156614753256581, -0.6018150231520483, -0.5877852522924732, -0.5735764363510464, -0.5591929034707472, -0.544639035015027, -0.529919264233205, -0.5150380749100545, -0.5000000000000004, -0.48480962024633683, -0.46947156278589075, -0.4539904997395469, -0.43837114678907773, -0.42261826174069994, -0.4067366430758001, -0.3907311284892738, -0.3746065934159123, -0.3583679495453007, -0.3420201433256694, -0.32556815445715664, -0.30901699437494756, -0.2923717047227371, -0.2756373558169989, -0.25881904510252063, -0.24192189559966778, -0.22495105434386525, -0.2079116908177598, -0.19080899537654547, -0.17364817766693033, -0.15643446504023103, -0.13917310096006494, -0.12186934340514717, -0.10452846326765336, -0.08715574274765825, -0.06975647374412558, -0.052335956242944306, -0.03489949670250165, -0.017452406437283498, -1.836909530733566e-16, 0.01745240643728313, 0.03489949670250128, 0.052335956242943946, 0.06975647374412522, 0.08715574274765789, 0.10452846326765298, 0.12186934340514768, 0.13917310096006546, 0.15643446504023067, 0.17364817766692997, 0.19080899537654425, 0.20791169081775856, 0.22495105434386492, 0.24192189559966745, 0.25881904510252113, 0.2756373558169994, 0.2923717047227367, 0.30901699437494723, 0.3255681544571563, 0.34202014332566816, 0.35836794954529954, 0.37460659341591196, 0.3907311284892735, 0.40673664307580054, 0.4226182617406996, 0.4383711467890774, 0.45399049973954664, 0.4694715627858904, 0.4848096202463365, 0.5000000000000001, 0.5150380749100542, 0.5299192642332047, 0.5446390350150266, 0.5591929034707462, 0.573576436351046, 0.5877852522924729, 0.6018150231520479, 0.6156614753256585, 0.6293203910498375, 0.6427876096865392, 0.656059028990507, 0.6691306063588578, 0.681998360062498, 0.6946583704589966, 0.7071067811865473, 0.7193398003386509, 0.7313537016191707, 0.7431448254773942, 0.7547095802227719, 0.7660444431189778, 0.7771459614569706, 0.7880107536067216, 0.7986355100472928, 0.8090169943749473, 0.8191520442889916, 0.8290375725550414, 0.838670567945424, 0.8480480961564254, 0.8571673007021121, 0.8660254037844384, 0.8746197071393958, 0.8829475928589269, 0.8910065241883678, 0.8987940462991671, 0.9063077870366497, 0.913545457642601, 0.9205048534524399, 0.9271838545667873, 0.9335804264972015, 0.9396926207859084, 0.9455185755993165, 0.9510565162951535, 0.9563047559630357, 0.9612616959383187, 0.9659258262890683, 0.9702957262759965, 0.9743700647852351, 0.9781476007338056, 0.981627183447664, 0.9848077530122079, 0.9876883405951377, 0.9902680687415702, 0.992546151641322, 0.9945218953682733, 0.9961946980917455, 0.9975640502598243, 0.9986295347545738, 0.9993908270190958, 0.9998476951563913
};
scos()
float input = 1.0; // Example input angle in degrees
float result = scos(input);
// result = 0.999847695
Accepts an floating input angle and applies the C cos() function as follows: cos(<input> * 3.14159265 / 180.0)
sqrt()
float input = 4.0;
float result = sqrt(input);
// result = 2.0
Accepts a floating decimal and returns the inverse square root utilizing the Newton-Raphson method.
pow()
float input = 2.0;
float power = 3.0;
float result = pow(input, power);
// result = 6.0
Batman punches you in the face. Also, a function that accepts two floating decimals (numeric, power). Raises input numeric to input power using the C pow() function.
asin()
float input = 0.5;
float result = asin(input);
// result = 30.0
Accepts a floating decimal and returns the arc sine in degrees using the C asin() function as follows: asin(<input>) * 180.0 / 3.14159265.
acos()
float input = 0.5;
float result = acos(input);
// result = 60.0
Accepts a floating decimal and returns the arc cosine in degrees using the C acos() function as follows: acos(<input>) * 180.0 / 3.14159265.
This function is currently broken and a fix is in progress. Do not use.
atan()
float input = 1.0;
float result = atan(input);
// result = 45.0
Accepts a floating decimal and returns the arc tangent in degrees using the C atan() function as follows: atan(<input>) * 180.0 / 3.14159265.
This function is currently broken and a fix is in progress. Do not use.
trunc()
float input = 3.8;
float result = asin(input);
// result = 3
Accepts a floating decimal and returns a truncated integer value using the C trunc() function.
round()
float input = 3.5;
float result = round(input);
// result = 4.0
Accepts a floating decimal and returns a decimal value rounded to the nearest whole number using the C round() function.
rand()
int random = rand() % 100;
// result -0 to 100
Generate a random numeric using a custom implementation of the srand32() function.
Implementation
OpenBOR’s random function is a linear congruential generator with supplemental bitwise mixing and rotation. The initial global seed is 1234567890.
srand()
int seed = 78;
srand(seed);
Updates global seed for random number generator.
