Using flash library to move data to program memory - help with macro.

Since I am still not that comfortable using macros I could use some assistance here.
I want to move single dimension array of doubles ( sine wave) to program memory using flash.
So far I understand that various type #defined macros do that.

I do not quite get if I have to have the data predefined as used in sample ( attached) or can I just build the array, as I do now, and store it in program memory as I build it (naturally prefered to save RAM) or probably after .

Basically - how is the "value" build.
Thanks for helping.
Cheers Vaclav

Here are some snippets from samples how to use flash.

// Use these macros to define your flash-based data structures
// Example: FLASH_STRING(str, "Four score and seven years ago");

#define FLASH_STRING(name, value) \
  static const char name##_flash[] PROGMEM = value; \
  _FLASH_STRING name(name##_flash);

// Example: FLASH_ARRAY(float, temperatures, 98.1, 98.5, 99.1, 102.1);
#define FLASH_ARRAY(type, name, values...) \
  static const type name##_flash[] PROGMEM = { values }; \
  _FLASH_ARRAY<type> name(name##_flash, sizeof(name##_flash) / sizeof(type));

// Example: FLASH_TABLE(uint8_t, fonts, 7, {ON, OFF, ON, ON, OFF, ON, OFF}, {OFF, ON, OFF, ON, OFF, ON, OFF});
#define FLASH_TABLE(type, name, cols, values...) \
  static const type name##_flash[][cols] PROGMEM = { values }; \
  _FLASH_TABLE<type> name((const PROGMEM type *)name##_flash, sizeof(name##_flash) / sizeof(name##_flash[0]), cols);

// Example: FLASH_STRING_ARRAY(nums, PSTR("One"), PSTR("Two"), PSTR("Three"), PSTR("Four"), PSTR("Five"));
#define FLASH_STRING_ARRAY(name, values...) \
  const PROGMEM char *name##_arr[] = { values }; \   why is PROGMEM used here ONLY ?? 
  _FLASH_STRING_ARRAY name(name##_arr, sizeof(name##_arr) / sizeof(name##_arr[0]));







// Example: FLASH_ARRAY(float, temperatures, 98.1, 98.5, 99.1, 102.1);
#define FLASH_ARRAY(type, name, values...) \
  static const type name##_flash[] PROGMEM = { values }; \
  _FLASH_ARRAY<type> name(name##_flash, sizeof(name##_flash) / sizeof(type));





 //  // Example 3: Flash arrays
FLASH_ARRAY(int, sine_table, 
                  0,6,12,18,25,31,37,43,49,56,62,68,74,80,86,92,97,103,109,115,120,126,131,136,142,
                  147,152,157,162,167,171,176,181,185,189,193,197,201,205,209,212,216,219,222,225,
                  228,231,234,236,238,241,243,244,246,248,249,251,252,253,254,254,255,255,255,256,
                  255,255,255,254,254,253,252,251,249,248,246,244,243,241,238,236,234,231,228,225,
                  222,219,216,212,209,205,201,197,193,189,185,181,176,171,167,162,157,152,147,142,
                  136,131,126,120,115,109,103,97,92,86,80,74,68,62,56,49,43,37,31,25,18,12,6,0,-6,
                  -12,-18,-25,-31,-37,-43,-49,-56,-62,-68,-74,-80,-86,-92,-97,-103,-109,-115,-120,
                  -126,-131,-136,-142,-147,-152,-157,-162,-167,-171,-176,-181,-185,-189,-193,-197,
                  -201,-205,-209,-212,-216,-219,-222,-225,-228,-231,-234,-236,-238,-241,-243,-244,
                  -246,-248,-249,-251,-252,-253,-254,-254,-255,-255,-255,-256,-255,-255,-255,-254,
                  -254,-253,-252,-251,-249,-248,-246,-244,-243,-241,-238,-236,-234,-231,-228,-225,
                  -222,-219,-216,-212,-209,-205,-201,-197,-193,-189,-185,-181,-176,-171,-167,-162,
                  -157,-152,-147,-142,-136,-131,-126,-120,-115,-109,-103,-97,-92,-86,-80,-74,-68,
                  -62,-56,-49,-43,-37,-31,-25,-18,-12,-6,-6,-12,-18,-25,-31,-37,-43,-49,-56,-62,
                  -68,-74,-80,-86,-92,-97,-103,-109,-115,-120,-126,-131,-136,-142,-147,-152,-157,
                  -162,-167,-171,-176,-181,-185,-189,-193,-197,-201,-205,-209,-212,-216,-219,-222,
                  -225,-228,-231,-234,-236,-238,-241,-243,-244,-246,-248,-249,-251,-252,-253,-254,
                  -254,-255,-255,-255,-256,-255,-255,-255,-254,-254,-253,-252,-251,-249,-248,-246,
                  -244,-243,-241,-238,-236,-234,-231,-228,-225,-222,-219,-216,-212,-209,-205,-201,
                  -197,-193,-189,-185,-181,-176,-171,-167,-162,-157,-152,-147,-142,-136,-131,-126,
                  -120,-115,-109,-103,-97,-92,-86,-80,-74,-68,-62,-56,-49,-43,-37,-31,-25,-18,-12,-6);
 
 
 
 
 
   int iSize = availableMemory();
  Serial.printf("Avaiable memory %i ", iSize);
 
  // 3.a Print out the array
  Serial.println("Table: "); sine_table.print(Serial); Serial.println();

for(;;);

  // 3.b Determine the size of the array
  Serial.print("Count: "); Serial.println(sine_table.count());
  Serial.print("RAM: "); Serial.println(sizeof(sine_table));
  
  // 3.c Access individual elements of the array using [] notation
  int maximum = -1000;
  for (int i=0; i<sine_table.count(); ++i)
    if (sine_table[i] > maximum)
      maximum = sine_table[i];
  Serial.print("Peak: "); Serial.println(maximum);

moderator: changed quote to code tags ==> # button above smiley's

it is explained here - PROGMEM - Arduino Reference -

robtillaart:
it is explained here - PROGMEM - Arduino Reference -

Thanks
OK, so silly question - who is on first?
I am using PROGMEM or flash or both?
I guess i'll look at headers next to find out myself.
I need to anyway if I am going to use double, which I really do not have to store.
It will be simpler to store ints and than convert them to double.
Cheers Vaclav

in a nutshell

FLASH == PROGMEM == memory for the (static) code part
RAM == volatile memory for variables
EEPROM == non-volatile memory for variables

Yep, the problem was "the nut" was looking at it from "how to save DEFINED arrays using macros " as opposed to how to put anything into program memory. KISS
Works fine.
I think the key is - always look for solution using AVR doc first, than read the header and source files before getting exited .
Arduino doc can be misleading even when they resemble ( cut and paste?) the original AVR stuff.

Thanks
Cheers Vaclav