PWM sine wave using arduino and H bridge

Question

I'm trying to provide a sinusoidal wave using PWM modulation. my circuit is comprised of the following:

1. Arduino Uno
2. H bridge - controls the direction (pins 4,5) and the PWM voltage (PWM pin 6)
3. Solenoid motor - the sine output should be fed to the motor

I saw some guides online, but most of them use Sinewave tables and low-level code that I couldn't quite comprehend, so I have decided to give it a try with some more trivial code as followed:

const int DIR1_PIN = 4;
const int DIR2_PIN = 5;
const int PWM_PIN = 6;
const int LED_PIN = 9;

const int numSamples = 20;
const int sampleFreq = 2000;
const float pi = 3.1415;
float f = 1; // signal frequency
float T = 1/f; 
float dt = T/numSamples;
int sineSignal[numSamples]; // sine values would be added here
int dir1Array[numSamples]; // 11....100....0 indicates direction
int dir2Array[numSamples]; // 00....011....1 indicates other direction

void setup()
{

  pinMode(LED_PIN, OUTPUT); // the led is just an indicator to what the output is
  pinMode(DIR1_PIN, OUTPUT);
  pinMode(DIR2_PIN, OUTPUT);
  pinMode(PWM_PIN, OUTPUT);

  for (int n = 0; n < numSamples; n++)
  {
    sineSignal[n] = abs((int) (255 * (sin(2 * pi * f * n * dt))));
    if (n < numSamples / 2)
    {
      dir1Array[n] = HIGH;
      dir2Array[n] = LOW;
    }
    else
    {
      dir1Array[n] = LOW;
      dir2Array[n] = HIGH;
    }
  }
}

void loop()
{
  for (int n = 0; n < numSamples; n++)
  {
    analogWrite(LED_PIN, sineSignal[n]);
    analogWrite(PWM_PIN, sineSignal[n]);
    digitalWrite(DIR1_PIN, dir1Array[n]);
    digitalWrite(DIR2_PIN, dir2Array[n]);
    delay(sampleFreq); // not quite sure how the delay affects the frequency f
  }
}

long story short, this code does not allow me to control the frequency f (getting the same output for different values of f)

any Idea on how to generate such output for varying f? how should one set up a delay call, if even?

Thank you!