proper phase shifts for rds2 - less deviation

include/constants.h

@@ -5,3 +5,6 @@
 #ifndef M_2PI
 #define M_2PI (M_PI * 2.0)
 #endif
+#ifndef M_PI_2
+#define M_PI_2 (M_PI / 2.0)
+#endif

lib/oscillator.c

@@ -2,6 +2,7 @@
 
 void init_oscillator(Oscillator *osc, float frequency, float sample_rate) {
 	osc->phase = 0.0f;
+	osc->unwrapped_phase = 0.0;
 	osc->phase_increment = (M_2PI * frequency) / sample_rate;
 	osc->sample_rate = sample_rate;
 }
@@ -32,8 +33,21 @@ float get_oscillator_cos_multiplier_ni(Oscillator *osc, float multiplier) {
 
 inline bool advance_oscillator(Oscillator *osc) {
 	osc->phase += osc->phase_increment;
+	osc->unwrapped_phase += osc->phase_increment;
 	if (osc->phase >= M_2PI) {
 		osc->phase -= M_2PI;
 		return true;
 	} return false;
 }
+
+bool oscillator_did_cycle(Oscillator *osc, float phase_shift, float *prev_shifted_phase) {
+    float shifted = osc->phase + phase_shift;
+
+    // wrap into [0, 2π)
+    while (shifted >= M_2PI) shifted -= M_2PI;
+    while (shifted < 0.0f)   shifted += M_2PI;
+
+    bool crossed = shifted < *prev_shifted_phase;
+    *prev_shifted_phase = shifted;
+    return crossed;
+}

lib/oscillator.h

@@ -6,6 +6,7 @@
 
 typedef struct {
 	float phase;
+	double unwrapped_phase;
 	float phase_increment;
 	float sample_rate;
 } Oscillator;
@@ -17,3 +18,4 @@ float get_oscillator_cos_sample(Oscillator *osc);
 float get_oscillator_sin_multiplier_ni(Oscillator *osc, float multiplier);
 float get_oscillator_cos_multiplier_ni(Oscillator *osc, float multiplier);
 bool advance_oscillator(Oscillator *osc);
+bool oscillator_did_cycle(Oscillator *osc, float phase_shift, float *prev_shifted_phase);

src/fm95.c

@@ -31,7 +31,6 @@ typedef struct {
 	float headroom;
 	float pilot;
 	float rds;
-	float rds_step;
 	float drive;
 	float makeup;
 } FM95_Volumes;
@@ -111,9 +110,7 @@ static inline bool compare_dvs(const FM95_DeviceNames *a, const FM95_DeviceNames
 }
 
 static float calculate_sharedaudio_volume(const FM95_Volumes volumes, const int rds_streams) {
-	float rds_volume = 0.0f;
+	return 1.0f - (volumes.rds * rds_streams) - volumes.pilot - volumes.headroom;
-	for (int i = 0; i < rds_streams; i++) rds_volume += volumes.rds * powf(volumes.rds_step, i);
-	return 1.0f - rds_volume - volumes.pilot - volumes.headroom;
 }
 
 static void stop(int signum) {
@@ -206,7 +203,8 @@ int run_fm95(FM95_Config* config, FM95_Runtime* runtime, FM95_RunResult* result)
 		}
 
 		for(uint16_t i = 0; i < BUFFER_SIZE; i++) {
-			bool cycle = advance_oscillator(&runtime->osc);
+			advance_oscillator(&runtime->osc);
+			
 			bool do_result = (i == BUFFER_SIZE - 1);
 
 			float mpx = 0.0f;
@@ -245,10 +243,12 @@ int run_fm95(FM95_Config* config, FM95_Runtime* runtime, FM95_RunResult* result)
 			mpx = stereo_encode(&runtime->stencode, config->stereo, mod_l, mod_r, &audio);
 
 			{
-				float rds_level = config->volumes.rds;
+				static const float stream_shift[4] = {0.0f, (float)M_PI, (float)M_PI_2, (float)(3.0 * M_PI_2)};
+				static float prev_shifted_phase[4] = {0.0f, (float)M_PI, (float)M_PI_2, (float)(3.0 * M_PI_2)};
+
 				float clock = get_oscillator_cos_multiplier_ni(&runtime->osc, 1.0f);
 				for (uint8_t stream = 0; stream < config->rds_streams; stream++) {
-					if (cycle) {
+					if (oscillator_did_cycle(&runtime->osc, stream_shift[stream], &prev_shifted_phase[stream])) {
 						uint8_t bit;
 						if (bit_ring_read1(&runtime->rds_bitring[stream], &bit)) runtime->rds_last_bit[stream] = bit;
 						runtime->rds_symbol[stream] = runtime->rds_last_bit[stream] ? 1.0f : -1.0f;
@@ -262,8 +262,7 @@ int run_fm95(FM95_Config* config, FM95_Runtime* runtime, FM95_RunResult* result)
 
 					float carrier = get_oscillator_cos_multiplier_ni(&runtime->osc, osc_stream * 4.0f);
 					if (config->stereo_ssb) carrier = delay_line(&runtime->rds_delays[stream], carrier);
-					mpx += clock * shaped * carrier * rds_level;
+					mpx += clock * shaped * carrier * config->volumes.rds;
-					rds_level *= config->volumes.rds_step; // Prepare level for the next stream
 				}
 			}
 
@@ -351,7 +350,6 @@ static int config_handler(void* user, const char* section, const char* name, con
 	else if(MATCH("advanced", "makeup")) pconfig->volumes.makeup = strtof(value, NULL);
 	else if(MATCH("volumes", "pilot")) pconfig->volumes.pilot = strtof(value, NULL);
 	else if(MATCH("volumes", "rds")) pconfig->volumes.rds = strtof(value, NULL);
-	else if(MATCH("volumes", "rds_step")) pconfig->volumes.rds_step = strtof(value, NULL);
 
     return 1;
 }
@@ -619,7 +617,6 @@ int main(int argc, char **argv) {
 		.volumes = {
 			.pilot = 0.09f,
 			.rds = 0.045f,
-			.rds_step = 0.9f,
 			.headroom = 0.05f,
 			.drive = 1.0f,
 			.makeup = 1.0f