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implemented sin, cos, theta for all real numbers

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This commit is contained in:
Mirko Scholz 2020-09-10 14:30:53 +02:00
parent 2caedc9a45
commit 3e5648de87
3 changed files with 78 additions and 25 deletions
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78
src/decn/decn.c
View File

@ -68,9 +68,9 @@ static const uint8_t num_digits_display = 16;
dec80 AccDecn;
__idata dec80 BDecn;
__idata dec80 TmpDecn; //used by add_decn() and mult_decn()
__idata dec80 Tmp2Decn; //used by recip_decn() and ln_decn()
__xdata dec80 Tmp3Decn; //used by recip_decn() and ln_decn()
__xdata dec80 Tmp4Decn; //used by div_decn() and pow_decn()
__idata dec80 Tmp2Decn; //used by recip_decn() and ln_decn() and sincos_decn()
__xdata dec80 Tmp3Decn; //used by recip_decn() and ln_decn() and sincos_decn()
__xdata dec80 Tmp4Decn; //used by div_decn() and pow_decn() and sincos_decn()
__xdata char Buf[DECN_BUF_SIZE];
@ -84,6 +84,7 @@ const dec80 DECN_LN_10 = {
0, {23, 2, 58, 50, 92, 99, 40, 45, 68}
};
// 2 pi
const dec80 DECN_2PI = {
0, {62, 83, 18, 53, 7, 17, 95, 86, 48}
};
@ -93,7 +94,6 @@ const dec80 DECN_1RAD = {
1, {57, 29, 57, 79, 51, 30, 82, 32, 9}
};
void copy_decn(dec80* const dest, const dec80* const src){
uint8_t i;
@ -1263,34 +1263,53 @@ void pow_decn(void) {
exp_decn();
}
void sincos_decn(void) {
#define SIN Tmp2Decn
#define COS Tmp3Decn
#define STP Tmp4Decn
// see W.E. Egbert, "Personal Calculator Algorithms II: Trigonometric functions"
void project_decn_into_0_2pi(void) {
const uint8_t is_negative = (AccDecn.exponent < 0);
exp_t exponent;
remove_leading_zeros(&AccDecn);
// TODO: implement scaling to 0..2pi
if (is_negative) {
negate_decn(&AccDecn);
}
exponent = get_exponent(&AccDecn);
copy_decn(&BDecn, &DECN_2PI);
if (compare_magn() == 1) {
set_dec80_NaN(&AccDecn);
set_dec80_NaN(&BDecn);
return;
if (compare_magn() > 0) {
do {
do {
copy_decn(&BDecn, &DECN_2PI);
BDecn.exponent = exponent;
if (compare_magn() >= 0) {
negate_decn(&BDecn);
add_decn();
} else {
break;
}
set_dec80_zero(&BDecn);
if (compare_magn() == -1) {
set_dec80_NaN(&AccDecn);
set_dec80_NaN(&BDecn);
return;
} while (1);
exponent--;
} while (exponent >= 0);
}
copy_decn(&STP, &AccDecn);
if (is_negative) {
negate_decn(&AccDecn);
copy_decn(&BDecn, &DECN_2PI);
add_decn();
}
}
#define SIN Tmp2Decn
#define COS Tmp3Decn
#define THETA Tmp4Decn
void sincos_decn(void) {
project_decn_into_0_2pi();
copy_decn(&THETA, &AccDecn);
copy_decn(&COS, &DECN_1);
set_dec80_zero(&SIN);
// 0.0 00 05
SIN.lsu[2] = 5;
negate_decn(&SIN);
while (STP.exponent >= 0) {
while (THETA.exponent >= 0) {
// COS = COS - SIN / 10000
copy_decn(&AccDecn, &COS);
copy_decn(&BDecn, &SIN);
@ -1310,13 +1329,13 @@ void sincos_decn(void) {
shift_right(&BDecn);
add_decn();
copy_decn(&SIN, &AccDecn);
// STP = STP - 0.0 00 1
copy_decn(&AccDecn, &STP);
// THETA = THETA - 0.0 00 1
copy_decn(&AccDecn, &THETA);
set_dec80_zero(&BDecn);
BDecn.lsu[2] = 10;
negate_decn(&BDecn);
add_decn();
copy_decn(&STP, &AccDecn);
copy_decn(&THETA, &AccDecn);
}
}
@ -1338,6 +1357,17 @@ void tan_decn(void) {
}
#undef SIN
#undef COS
#undef THETA
void to_degree_decn(void) {
copy_decn(&BDecn, &DECN_1RAD);
mult_decn();
}
void to_radian_decn(void) {
copy_decn(&BDecn, &DECN_1RAD);
div_decn();
}
static void set_str_error(void){

3
src/decn/decn.h
View File

@ -86,9 +86,12 @@ void exp_decn(void);
void exp10_decn(void);
void pow_decn(void);
void project_decn_into_0_2pi(void);
void sin_decn(void);
void cos_decn(void);
void tan_decn(void);
void to_degree_decn(void);
void to_radian_decn(void);
//Buf should hold at least 18 + 4 + 5 + 1 = 28
#define DECN_BUF_SIZE 28

20
src/decn/decn_tests_trig.cpp
View File

@ -81,6 +81,16 @@ TEST_CASE("sin") {
sin_test(pi_quarted, 0);
sin_test(pi_halfed, 0);
sin_test(pi_threequarters, 0);
sin_test("1000.0", 0);
sin_test("-0.5", 0);
sin_test("-1.5", 0);
sin_test("-2.0", 0);
sin_test("-2.5", 0);
sin_test("-3.0", 0);
sin_test("-9.0", 0);
sin_test("-18.0", 0);
sin_test("-27.0", 0);
sin_test("-1000.0", 0);
}
TEST_CASE("cos") {
@ -104,6 +114,16 @@ TEST_CASE("cos") {
cos_test(pi_quarted, 0);
cos_test(pi_halfed, 0, -1);
cos_test(pi_threequarters, 0);
cos_test("1000.0", 0);
cos_test("-0.5", 0);
cos_test("-1.5", 0);
cos_test("-2.0", 0);
cos_test("-2.5", 0);
cos_test("-3.0", 0);
cos_test("-9.0", 0);
cos_test("-18.0", 0);
cos_test("-27.0", 0);
cos_test("-1000.0", 0);
}