first commit

README.md

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+k-thermocouple-lib
+==================
+
+Converts thermocouple voltage to temperature with linearization and cold junction compensation. 
+
+The library uses a 65 entry lookup table and an interpolation to convert from K-type thermocouple voltage to temperature in degrees Celsius and back. The lookup table is based on [NIST](http://srdata.nist.gov/its90/main/its90_main_page.html) data, points for the lookup table were selected by hand according to the most nonlinear places in k-thermocouple response, to minimaze the error. 
+
+Code is written using fixed point arithmetic and is suitable for embedded applications. 
+
+![](https://github.com/Miceuz/k-thermocouple-lib/raw/master/plots/lookup-table-selection.png)
+
+
+Accuracy
+--------
+![](https://github.com/Miceuz/k-thermocouple-lib/raw/master/plots/error-voltage-vs-temperature.png)
+![](https://github.com/Miceuz/k-thermocouple-lib/raw/master/plots/error-temperature-vs-voltage.png)

library.json

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+{
+  "name": "k-thermocouple-lib",
+  "version": "0.0.0+20210328135053"
+}

test_microvolts

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test_temps

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+0
+75
+151
+226
+302
+377
+453
+528
+604
+680
+755
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thermocouple.c

@@ -0,0 +1,643 @@
+/******************************************************************************
+ * Additional info
+ * ****************************************************************************
+ * Changelog:
+ * - v. 2.0 Optimize memory usage. Option to use binary search.
+ *   2016-01-09 by Joakim Soderberg joakim.soderberg@gmail.com
+ * - v. 1.0 Initial release)
+ *   2014-04-24 by Albertas Mickėnas mic@wemakethings.net
+ *
+ * ****************************************************************************
+ * Bugs, feedback, questions and modifications can be posted on the github page
+ * on https://github.com/Miceuz/k-thermocouple-lib/
+ * ****************************************************************************
+ * - LICENSE -
+ * GNU GPL v2 (http://www.gnu.org/licenses/gpl.txt)
+ * This program is free software. You can redistribute it and/or modify
+ * it under the terms of the GNU General Public License version 2 as published
+ * by the Free Software Foundation.
+ * ****************************************************************************
+ */
+
+#include <stdio.h>
+#include "thermocouple.h"
+
+#ifdef __AVR__
+#include <avr/pgmspace.h>
+#else
+#undef KTHERM_WITH_PROGMEM
+#endif
+
+#ifdef KTHERM_TEST
+#include <string.h>
+#endif
+
+/*
+ * Values for this table should be multiplied with 1000 when used.
+ * If we store the table as that instead, we need to use unsigned long
+ * For example it would need (on an ATmega328):
+ *    66 * 4 = 264 bytes
+ * instead of:
+ *    66 * 2 = 132 bytes
+ */
+#define TEMP_TABLE_SCALE 1000
+static const signed int temp_tablek[]
+    #ifdef KTHERM_WITH_PROGMEM
+    PROGMEM
+    #endif
+    = {
+	-250,
+	-240,
+	-230,
+	-220,
+	-210,
+	-200,
+	-190,
+	-180,
+	-170,
+	-160,
+	-150,
+	-140,
+	-130,
+	-120,
+	-110,
+	-100,
+	-90,
+	-80,
+	-70,
+	-60,
+	-50,
+	-40,
+	-30,
+	-20,
+	-10,
+    0,
+    10,
+    20,
+    30,
+    40,
+    50,
+    60,
+    79,
+    98,
+    116,
+    134,
+    139,
+    155,
+    172,
+    193,
+    212,
+    231,
+    250,
+    269,
+    288,
+    307,
+    326,
+    345,
+    364,
+    383,
+    402,
+    421,
+    440,
+    459,
+    478,
+    497,
+    516,
+    535,
+    554,
+    573,
+    592,
+    611,
+    630,
+    649,
+    668,
+    687,
+    706,
+    725,
+    744,
+    763,
+    782,
+    801,
+    820,
+    839,
+    858,
+    877,
+    896,
+    915,
+    934,
+    953,
+    972,
+    991,
+    1010,
+    1029,
+    1048,
+    1067,
+    1086,
+    1105,
+    1124,
+    1143,
+    1200
+};
+
+#define TEMP_TABLE_SIZEK (sizeof(temp_table) / sizeof(temp_table[0]))
+
+static const signed int volt_tablek[]
+    #ifdef KTHERM_WITH_PROGMEM
+    PROGMEM
+    #endif
+    = {
+	-6404,
+	-6344,
+	-6262,
+	-6158,
+	-6035,
+	-5891,
+	-5730,
+	-5550,
+	-5354,
+	-5141,
+	-4913,
+	-4669,
+	-4411,
+	-4138,
+	-3852,
+	-3554,
+	-3243,
+	-2920,
+	-2587,
+	-2243,
+	-1889,
+	-1527,
+	-1156,
+	-778,
+    -392,
+	0,
+    397,
+    798,
+    1203,
+    1612,
+    2023,
+    2436,
+    3225,
+    4013,
+    4756,
+    5491,
+    5694,
+    6339,
+    7021,
+    7859,
+    8619,
+    9383,
+    10153,
+    10930,
+    11712,
+    12499,
+    13290,
+    14084,
+    14881,
+    15680,
+    16482,
+    17285,
+    18091,
+    18898,
+    19707,
+    20516,
+    21326,
+    22137,
+    22947,
+    23757,
+    24565,
+    25373,
+    26179,
+    26983,
+    27784,
+    28584,
+    29380,
+    30174,
+    30964,
+    31752,
+    32536,
+    33316,
+    34093,
+    34867,
+    35637,
+    36403,
+    37166,
+    37925,
+    38680,
+    39432,
+    40180,
+    40924,
+    41665,
+    42402,
+    43134,
+    43863,
+    44588,
+    45308,
+    46024,
+    46735,
+    48838
+};
+//T
+static const signed int temp_tablet[]
+    #ifdef KTHERM_WITH_PROGMEM
+    PROGMEM
+    #endif
+    = {
+	-250,
+	-240,
+	-230,
+	-220,
+	-210,
+	-200,
+	-190,
+	-180,
+	-170,
+	-160,
+	-150,
+	-140,
+	-130,
+	-120,
+	-110,
+	-100,
+	-90,
+	-80,
+	-70,
+	-60,
+	-50,
+	-40,
+	-30,
+	-20,
+	-10,
+    0,
+    10,
+    20,
+    30,
+    40,
+    50,
+    60,
+    79,
+    98,
+    116,
+    134,
+    139,
+    155,
+    172,
+    193,
+    212,
+    231,
+    250,
+    269,
+    288,
+    307,
+    326,
+    345,
+    364,
+    383,
+    400
+};
+
+#define TEMP_TABLE_SIZET (sizeof(temp_tablet) / sizeof(temp_tablet[0]))
+
+static const signed int volt_tablet[]
+    #ifdef KTHERM_WITH_PROGMEM
+    PROGMEM
+    #endif
+    = {
+	-6180,
+	-6105,
+	-6007,
+	-5888,
+	-5753,
+	-5603,
+	-5439,
+	-5261,
+	-5070,
+	-4865,
+	-4648,
+	-4419,
+	-4177,
+	-3923,
+	-3657,
+	-3379,
+	-3089,
+	-2788,
+	-2476,
+	-2153,
+	-1819,
+	-1475,
+	-1121,
+	-757,
+    -383,
+	0,
+    391,
+    790,
+    1196,
+    1612,
+    2036,
+    2468,
+    3312,
+    4185,
+    5036,
+    5491,
+    5910,
+    6956,
+    7823,
+    8917,
+    9930,
+    10962,
+    12013,
+    13082,
+    14168,
+    15270,
+    16387,
+    17518,
+    18665,
+    19825,
+    20872
+};
+#define VOLTAGE_TABLE_SIZEK (sizeof(volt_tablek) / sizeof(volt_tablek[0]))
+#define VOLTAGE_TABLE_SIZET (sizeof(volt_tablet) / sizeof(volt_tablet[0]))
+#define POINTS_COUNTK (VOLTAGE_TABLE_SIZEK - 1)
+#define POINTS_COUNTT (VOLTAGE_TABLE_SIZET - 1)
+static inline signed long getTableVal(const signed int *t,
+                                        unsigned char i)
+{
+    #ifdef KTHERM_WITH_PROGMEM
+    return (unsigned long)pgm_read_word_near(t + i);
+    #else
+    return (signed long)t[i];
+    #endif
+}
+
+static inline signed long interpolate(signed long val,
+                                        signed long rangeStart,
+                                        signed long rangeEnd,
+                                        signed long valStart,
+                                        signed long valEnd)
+{
+    signed long valDiff = valEnd - valStart;
+
+    if (valDiff == 0)
+        return 0;
+
+    return rangeStart + (rangeEnd - rangeStart) * (val - valStart) / valDiff;
+}
+
+static inline signed long interpolateVoltagek(signed long temp,
+                                               signed char i)
+{
+    return interpolate(temp,
+                       getTableVal(volt_tablek, i - 1),
+                       getTableVal(volt_tablek, i),
+                       getTableVal(temp_tablek, i - 1) * TEMP_TABLE_SCALE,
+                       getTableVal(temp_tablek, i) * TEMP_TABLE_SCALE);
+}
+static inline signed long interpolateVoltaget(signed long temp,
+                                               signed char i)
+{
+    return interpolate(temp,
+                       getTableVal(volt_tablet, i - 1),
+                       getTableVal(volt_tablet, i),
+                       getTableVal(temp_tablet, i - 1) * TEMP_TABLE_SCALE,
+                       getTableVal(temp_tablet, i) * TEMP_TABLE_SCALE);
+}
+static inline signed long interpolateTemperaturek(signed long microvolts,
+                                                   signed char i)
+{
+    return interpolate(microvolts,
+                       getTableVal(temp_tablek, i - 1) * TEMP_TABLE_SCALE,
+                       getTableVal(temp_tablek, i) * TEMP_TABLE_SCALE,
+                       getTableVal(volt_tablek, i - 1),
+                       getTableVal(volt_tablek, i));
+}
+static inline signed long interpolateTemperaturet(signed long microvolts,
+                                                   signed char i)
+{
+    return interpolate(microvolts,
+                       getTableVal(temp_tablet, i - 1) * TEMP_TABLE_SCALE,
+                       getTableVal(temp_tablet, i) * TEMP_TABLE_SCALE,
+                       getTableVal(volt_tablet, i - 1),
+                       getTableVal(volt_tablet, i));
+}
+static inline unsigned char binarySearchK(const signed int *t,
+                                         signed long val,
+                                         signed long scale)
+{
+    unsigned char first;
+    unsigned char middle;
+    unsigned char last;
+    unsigned long cur;
+
+    // Note that we skip the first item in the list.
+    first = 1;
+    last = POINTS_COUNTK - 2;
+    middle = (first + last) / 2;
+
+    while (first <= last)
+    {
+        cur = getTableVal(t, middle) * scale;
+
+        if (val > cur)
+        {
+            first = middle + 1;
+        }
+        else if (val == cur)
+        {
+            return middle + 1;
+        }
+        else
+        {
+            last = middle - 1;
+        }
+
+        middle = (first + last) / 2;
+    }
+
+    return last + 1;
+}
+static inline unsigned char binarySearchT(const signed int *t,
+                                         signed long val,
+                                         signed long scale)
+{
+    unsigned char first;
+    unsigned char middle;
+    unsigned char last;
+    unsigned long cur;
+
+    // Note that we skip the first item in the list.
+    first = 1;
+    last = POINTS_COUNTT - 2;
+    middle = (first + last) / 2;
+
+    while (first <= last)
+    {
+        cur = getTableVal(t, middle) * scale;
+
+        if (val > cur)
+        {
+            first = middle + 1;
+        }
+        else if (val == cur)
+        {
+            return middle + 1;
+        }
+        else
+        {
+            last = middle - 1;
+        }
+
+        middle = (first + last) / 2;
+    }
+
+    return last + 1;
+}
+static inline unsigned char linearSearchK(const signed int *t,
+                                         signed long val,
+                                         signed long scale)
+{
+    unsigned char i;
+
+    for (i = 0; i < POINTS_COUNTK; i++)
+    {
+        if ((getTableVal(t, i) * scale) > val)
+        {
+            return i;
+        }
+    }
+    return POINTS_COUNTK - 1;
+}
+static inline unsigned char linearSearchT(const signed int *t,
+                                         signed long val,
+                                         signed long scale)
+{
+    unsigned char i;
+
+    for (i = 0; i < POINTS_COUNTT; i++)
+    {
+        if ((getTableVal(t, i) * scale) > val)
+        {
+            return i;
+        }
+    }
+    return POINTS_COUNTT - 1;
+}
+/**
+ * Returns the index of the first point whose temperature
+ * value is greater than argument
+ **/
+static inline unsigned char searchTempk(signed long temp)
+{
+    #ifdef KTHERM_WITH_BINARY_SEARCH
+    return binarySearch(temp_table, temp, TEMP_TABLE_SCALE);
+    #else
+    return linearSearchK(temp_tablek, temp, TEMP_TABLE_SCALE);
+    #endif
+}
+static inline unsigned char searchTempt(signed long temp)
+{
+    #ifdef KTHERM_WITH_BINARY_SEARCH
+    return binarySearch(temp_table, temp, TEMP_TABLE_SCALE);
+    #else
+    return linearSearchT(temp_tablet, temp, TEMP_TABLE_SCALE);
+    #endif
+}
+/**
+ * Returns the index of the first point whose microvolts
+ * value is greater than argument
+ **/
+static inline unsigned char searchMicrovoltsk(signed long microvolts)
+{
+    #ifdef KTHERM_WITH_BINARY_SEARCH
+    return binarySearch(volt_table, microvolts, 1);
+    #else
+    return linearSearchK(volt_tablek, microvolts, 1);
+    #endif
+}
+static inline unsigned char searchMicrovoltst(signed long microvolts)
+{
+    #ifdef KTHERM_WITH_BINARY_SEARCH
+    return binarySearch(volt_table, microvolts, 1);
+    #else
+    return linearSearchT(volt_tablet, microvolts, 1);
+    #endif
+}
+/**
+ * Returns temperature as a function of the ambient temperature
+ * and measured thermocouple voltage.
+ * Currently only positive ambient temperature is supported
+ **/
+long thermocoupleConvertWithCJCompensationk(signed long microvoltsMeasured,
+                                           signed long ambient)
+{
+    // Convert ambient temp to microvolts
+    // and add them to the thermocouple measured microvolts 
+    signed long microvolts = 
+        microvoltsMeasured + interpolateVoltagek(ambient, searchTempk(ambient));
+
+    // look up microvolts in The Table and interpolate
+    return interpolateTemperaturek(microvolts, searchMicrovoltsk(microvolts));
+}
+long thermocoupleConvertWithCJCompensationt(signed long microvoltsMeasured,
+                                           signed long ambient)
+{
+    // Convert ambient temp to microvolts
+    // and add them to the thermocouple measured microvolts 
+    signed long microvolts = 
+        microvoltsMeasured + interpolateVoltaget(ambient, searchTempt(ambient));
+
+    // look up microvolts in The Table and interpolate
+    return interpolateTemperaturet(microvolts, searchMicrovoltst(microvolts));
+}
+/**
+ * Returns temperature, equivalent to the voltage provided in microvolts
+ */
+long thermocoupleMvToCk(signed long microvolts)
+{
+    return interpolateTemperaturek(microvolts, searchMicrovoltsk(microvolts));
+}
+long thermocoupleMvToCt(signed long microvolts)
+{
+    return interpolateTemperaturet(microvolts, searchMicrovoltst(microvolts));
+}
+#ifdef KTHERM_TEST
+int main(int argc, char **argv)
+{
+    unsigned long i = 0;
+
+    if (argc < 2)
+    {
+        goto usage;
+    }
+
+    for (i = 1; i < argc; i++)
+    {
+        if (!strcmp(argv[i], "--temps"))
+        {
+            for (i = 0; i < 16383; i++)
+            {
+                unsigned long voltage = 5000000 / 16384 * i / 101;
+                printf("%ld\n", thermocoupleMvToC(voltage));
+            }
+        }
+        else if (!strcmp(argv[i], "--microvolts"))
+        {
+            for (i = 0; i < 1280000; i+= 1000)
+            {
+                printf("%ld\n", interpolateVoltage(i, searchTemp(i)));
+            }
+        }
+        else
+        {
+            fprintf(stderr, "Unknown option %s\n", argv[i]);
+            goto usage;
+        }
+    }
+
+    return 0;
+usage:
+    printf("K-Type Thermocouple Library Tests\n");
+    printf(" Usage: %s [--microvolts] [--temps]\n", argv[0]);
+    return -1;
+}
+#endif

thermocouple.h

@@ -0,0 +1,43 @@
+/******************************************************************************
+ * Additional info
+ * ****************************************************************************
+ * Changelog:
+ * - v. 2.0 Optimize memory usage. Option to use binary search.
+ *   2016-01-09 by Joakim Soderberg joakim.soderberg@gmail.com
+ * - v. 1.0 Initial release)
+ *   2014-04-24 by Albertas Mickėnas mic@wemakethings.net
+ *
+ * ****************************************************************************
+ * Bugs, feedback, questions and modifications can be posted on the github page
+ * on https://github.com/Miceuz/k-thermocouple-lib/
+ * ****************************************************************************
+ * - LICENSE -
+ * GNU GPL v2 (http://www.gnu.org/licenses/gpl.txt)
+ * This program is free software. You can redistribute it and/or modify
+ * it under the terms of the GNU General Public License version 2 as published
+ * by the Free Software Foundation.
+ * ****************************************************************************
+ */
+#ifndef __THERMOCOUPLE_H
+#define __THERMOCOUPLE_H
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+/**
+ * Returns temperature as a function of the ambient temperature and measured thermocouple voltage
+ **/
+long thermocoupleConvertWithCJCompensationk(signed long microvoltsMeasured, signed long ambient);
+long thermocoupleConvertWithCJCompensationt(signed long microvoltsMeasured, signed long ambient);
+/**
+ * Returns temperature equivalent the voltage provided in microvolts
+ */
+long thermocoupleMvToCk(signed long microvolts);
+
+long thermocoupleMvToCt(signed long microvolts);
+#ifdef __cplusplus
+}
+#endif
+#endif // _THERMOCOUPLE_H
+