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-rw-r--r--lib/dawsn.c64
1 files changed, 64 insertions, 0 deletions
diff --git a/lib/dawsn.c b/lib/dawsn.c
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+++ b/lib/dawsn.c
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+// Dawson Integral
+//
+// dawsn - Dawson function
+//
+// F(x) = e^(-x²) * ∫₀ˣ e^(t²) dt
+//
+// Inputs: 1
+// Outputs: 1
+// Constants: 0
+
+#include <math.h>
+#include "ts.h"
+
+
+
+ts_parameter_t const ts_dawsn_p = { .n_inputs = 1, .n_outputs = 1, .n_constants = 0, .params_size = 0 };
+
+
+uint_t ts_dawsn_offset( ts_constant_t const *c )
+{
+ ( void )c;
+ return ( 0 );
+}
+
+int ts_dawsn(
+ fp_t * const *y, uint_t y_n,
+ fp_t const * const *x, uint_t x_n,
+ uint_t n, ts_constant_t const *c
+)
+{
+ TS_PROLOGUE( ts_dawsn_p );
+ (void)c;
+ for( uint_t i = 0; i < n; ++i )
+ {
+ fp_t val = x[0][i];
+ fp_t ax = fabs( val );
+ fp_t y_val;
+
+ if( ax < 3.0 )
+ {
+ fp_t t = ax;
+ fp_t s = t;
+ for( uint_t k = 1; k < 20; ++k )
+ {
+ t *= -2.0 * ax * ax / (fp_t)(2 * k + 1);
+ s += t;
+ }
+ y_val = s;
+ }
+ else
+ {
+ y_val = 1.0 / ( 2.0 * ax + 1.0 / ( 2.0 * ax + 3.0 / ( 2.0 * ax + 5.0 / ( 2.0 * ax ) ) ) );
+ }
+
+ if( val < 0 )
+ y_val = -y_val;
+
+ y[0][i] = y_val;
+ }
+ return 0;
+}
+
+
+