thermal: imx: improve comments describing algorithm for temp calculation

The description of the implemented algorithm is hardly understandable
without having the right application note side-by-side to the code.

Fix this by using shorter and more intuitive variable names, describe
their meaning and transform a single formula instead of first talking about
slope and then about "milli_Tmeas".

There are no code changes.

Reviewed-by: Leonard Crestez <leonard.crestez@nxp.com>
Signed-off-by: Uwe Kleine-König <u.kleine-koenig@pengutronix.de>
Signed-off-by: Eduardo Valentin <edubezval@gmail.com>

1 files changed, 19 insertions, 23 deletions

diff --git a/drivers/thermal/imx_thermal.c b/drivers/thermal/imx_thermal.c
index 21b8c4c4da3c..c08883dff2cb 100644
--- a/drivers/thermal/imx_thermal.c
+++ b/drivers/thermal/imx_thermal.c
@@ -359,32 +359,28 @@ static int imx_init_calib(struct platform_device *pdev, u32 ocotp_ana1)
         }
 
         /*
-         * Sensor data layout:
-         *   [31:20] - sensor value @ 25C
-         * Use universal formula now and only need sensor value @ 25C
-         * slope = 0.4297157 - (0.0015976 * 25C fuse)
+         * The sensor is calibrated at 25 °C (aka T1) and the value measured
+         * (aka N1) at this temperature is provided in bits [31:20] in the
+         * i.MX's OCOTP value ANA1.
+         * To find the actual temperature T, the following formula has to be used
+         * when reading value n from the sensor:
+         *
+         * T = T1 + (N - N1) / (0.4297157 - 0.0015976 * N1) °C
+         *   = [T1 - N1 / (0.4297157 - 0.0015976 * N1) °C] + N / (0.4297157 - 0.0015976 * N1) °C
+         *   = [T1 + N1 / (0.0015976 * N1 - 0.4297157) °C] - N / (0.0015976 * N1 - 0.4297157) °C
+         *   = c2 - c1 * N
+         *
+         * with
+         *
+         *   c1 = 1 / (0.0015976 * N1 - 0.4297157) °C
+         *   c2 = T1 + N1 / (0.0015976 * N1 - 0.4297157) °C
+         *      = T1 + N1 * C1
          */
         n1 = ocotp_ana1 >> 20;
-        t1 = 25; /* t1 always 25C */
+        t1 = 25; /* °C */
 
-        /*
-         * Derived from linear interpolation:
-         * slope = 0.4297157 - (0.0015976 * 25C fuse)
-         * slope = (FACTOR2 - FACTOR1 * n1) / FACTOR0
-         * (Nmeas - n1) / (Tmeas - t1) = slope
-         * We want to reduce this down to the minimum computation necessary
-         * for each temperature read.  Also, we want Tmeas in millicelsius
-         * and we don't want to lose precision from integer division. So...
-         * Tmeas = (Nmeas - n1) / slope + t1
-         * milli_Tmeas = 1000 * (Nmeas - n1) / slope + 1000 * t1
-         * milli_Tmeas = -1000 * (n1 - Nmeas) / slope + 1000 * t1
-         * Let constant c1 = (-1000 / slope)
-         * milli_Tmeas = (n1 - Nmeas) * c1 + 1000 * t1
-         * Let constant c2 = n1 *c1 + 1000 * t1
-         * milli_Tmeas = c2 - Nmeas * c1
-         */
-        temp64 = FACTOR0;
-        temp64 *= 1000;
+        temp64 = FACTOR0; /* 10^7 for FACTOR1 and FACTOR2 */
+        temp64 *= 1000; /* to get result in °mC */
         do_div(temp64, FACTOR1 * n1 - FACTOR2);
         data->c1 = temp64;
         data->c2 = n1 * data->c1 + 1000 * t1;